Z3---4.15.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : PUZ134_1 : TPTP v9.0.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jun 21 05:23:29 AM UTC 2025

% Result   : Theorem 0.19s 0.42s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : PUZ134_1 : TPTP v9.0.0. Released v5.1.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Jun 20 02:47:53 EDT 2025
% 0.11/0.33  % CPUTime    : 
% 0.19/0.42  % SZS status Theorem
% 0.19/0.42  % SZS output start Proof
% 0.19/0.42  tff(b_type, type, (
% 0.19/0.42     b: knowheyan)).
% 0.19/0.42  tff(a_type, type, (
% 0.19/0.42     a: knowheyan)).
% 0.19/0.42  tff(inj_2_type, type, (
% 0.19/0.42     inj_2: job > knowheyan)).
% 0.19/0.42  tff(job_of_type, type, (
% 0.19/0.42     job_of: knowheyan > job)).
% 0.19/0.42  tff(airfoil_technician_type, type, (
% 0.19/0.42     airfoil_technician: job)).
% 0.19/0.42  tff(synthetic_food_nutitionist_type, type, (
% 0.19/0.42     synthetic_food_nutitionist: job)).
% 0.19/0.42  tff(c_type, type, (
% 0.19/0.42     c: knowheyan)).
% 0.19/0.42  tff(tptp_fun_X_0_type, type, (
% 0.19/0.42     tptp_fun_X_0: knowheyan)).
% 0.19/0.42  tff(age_of_type, type, (
% 0.19/0.42     age_of: knowheyan > age)).
% 0.19/0.42  tff(greater_type, type, (
% 0.19/0.42     greater: ( age * age ) > $o)).
% 0.19/0.42  tff(space_planner_type, type, (
% 0.19/0.42     space_planner: job)).
% 0.19/0.42  tff(d_type, type, (
% 0.19/0.42     d: knowheyan)).
% 0.19/0.42  tff(lunar_energy_engineer_type, type, (
% 0.19/0.42     lunar_energy_engineer: job)).
% 0.19/0.42  tff(communications_consultant_type, type, (
% 0.19/0.42     communications_consultant: job)).
% 0.19/0.42  tff(e_type, type, (
% 0.19/0.42     e: knowheyan)).
% 0.19/0.42  tff(1,plain,
% 0.19/0.42      (![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0) <=> ![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0)),
% 0.19/0.42      inference(rewrite,[status(thm)],[])).
% 0.19/0.42  tff(2,plain,
% 0.19/0.42      (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(job_of(X) = job_of(Y)))) <=> ![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0)),
% 0.19/0.42      inference(rewrite,[status(thm)],[])).
% 0.19/0.42  tff(3,plain,
% 0.19/0.42      (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(job_of(X) = job_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(job_of(X) = job_of(Y))))),
% 0.19/0.42      inference(rewrite,[status(thm)],[])).
% 0.19/0.42  tff(4,plain,
% 0.19/0.42      (^[X: knowheyan, Y: knowheyan] : rewrite(((~(X = Y)) => (~(job_of(X) = job_of(Y)))) <=> ((X = Y) | (~(job_of(X) = job_of(Y)))))),
% 0.19/0.42      inference(bind,[status(th)],[])).
% 0.19/0.42  tff(5,plain,
% 0.19/0.42      (![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(job_of(X) = job_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(job_of(X) = job_of(Y))))),
% 0.19/0.42      inference(quant_intro,[status(thm)],[4])).
% 0.19/0.42  tff(6,axiom,(![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(job_of(X) = job_of(Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','unique_jobs')).
% 0.19/0.42  tff(7,plain,
% 0.19/0.42      (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(job_of(X) = job_of(Y))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[6, 5])).
% 0.19/0.42  tff(8,plain,
% 0.19/0.42      (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(job_of(X) = job_of(Y))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[7, 3])).
% 0.19/0.42  tff(9,plain,(
% 0.19/0.42      ![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(job_of(X) = job_of(Y))))),
% 0.19/0.42      inference(skolemize,[status(sab)],[8])).
% 0.19/0.42  tff(10,plain,
% 0.19/0.42      (![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0)),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[9, 2])).
% 0.19/0.42  tff(11,plain,
% 0.19/0.42      (![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0)),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[10, 1])).
% 0.19/0.42  tff(12,plain,
% 0.19/0.42      ((~![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0)) | (inj_2(job_of(b)) = b)),
% 0.19/0.42      inference(quant_inst,[status(thm)],[])).
% 0.19/0.42  tff(13,plain,
% 0.19/0.42      (inj_2(job_of(b)) = b),
% 0.19/0.42      inference(unit_resolution,[status(thm)],[12, 11])).
% 0.19/0.42  tff(14,assumption,(job_of(c) = airfoil_technician), introduced(assumption)).
% 0.19/0.42  tff(15,plain,
% 0.19/0.42      ((~![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0)) | (inj_2(job_of(c)) = c)),
% 0.19/0.42      inference(quant_inst,[status(thm)],[])).
% 0.19/0.42  tff(16,plain,
% 0.19/0.42      (inj_2(job_of(c)) = c),
% 0.19/0.42      inference(unit_resolution,[status(thm)],[15, 11])).
% 0.19/0.42  tff(17,assumption,(job_of(X!0) = airfoil_technician), introduced(assumption)).
% 0.19/0.42  tff(18,plain,
% 0.19/0.42      (airfoil_technician = job_of(X!0)),
% 0.19/0.42      inference(symmetry,[status(thm)],[17])).
% 0.19/0.42  tff(19,plain,
% 0.19/0.42      (job_of(c) = job_of(X!0)),
% 0.19/0.42      inference(transitivity,[status(thm)],[14, 18])).
% 0.19/0.42  tff(20,plain,
% 0.19/0.42      (inj_2(job_of(c)) = inj_2(job_of(X!0))),
% 0.19/0.42      inference(monotonicity,[status(thm)],[19])).
% 0.19/0.42  tff(21,plain,
% 0.19/0.42      (inj_2(job_of(X!0)) = inj_2(job_of(c))),
% 0.19/0.42      inference(symmetry,[status(thm)],[20])).
% 0.19/0.42  tff(22,plain,
% 0.19/0.42      ((~![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0)) | (inj_2(job_of(X!0)) = X!0)),
% 0.19/0.42      inference(quant_inst,[status(thm)],[])).
% 0.19/0.42  tff(23,plain,
% 0.19/0.42      (inj_2(job_of(X!0)) = X!0),
% 0.19/0.42      inference(unit_resolution,[status(thm)],[22, 11])).
% 0.19/0.42  tff(24,plain,
% 0.19/0.42      (X!0 = inj_2(job_of(X!0))),
% 0.19/0.42      inference(symmetry,[status(thm)],[23])).
% 0.19/0.42  tff(25,plain,
% 0.19/0.42      (X!0 = c),
% 0.19/0.43      inference(transitivity,[status(thm)],[24, 21, 16])).
% 0.19/0.43  tff(26,assumption,(X!0 = c), introduced(assumption)).
% 0.19/0.43  tff(27,plain,
% 0.19/0.43      (age_of(X!0) = age_of(c)),
% 0.19/0.43      inference(monotonicity,[status(thm)],[26])).
% 0.19/0.43  tff(28,plain,
% 0.19/0.43      (age_of(c) = age_of(X!0)),
% 0.19/0.43      inference(symmetry,[status(thm)],[27])).
% 0.19/0.43  tff(29,plain,
% 0.19/0.43      (^[X: age, Y: age] : refl((~((X = Y) <=> (greater(Y, X) | greater(X, Y)))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y)))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(30,plain,
% 0.19/0.43      (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y)))) <=> ![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[29])).
% 0.19/0.43  tff(31,plain,
% 0.19/0.43      (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y)))) <=> ![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(32,plain,
% 0.19/0.43      (^[X: age, Y: age] : trans(trans(monotonicity(rewrite((greater(X, Y) | greater(Y, X)) <=> (greater(Y, X) | greater(X, Y))), (((~(X = Y)) <=> (greater(X, Y) | greater(Y, X))) <=> ((~(X = Y)) <=> (greater(Y, X) | greater(X, Y))))), rewrite(((~(X = Y)) <=> (greater(Y, X) | greater(X, Y))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))), (((~(X = Y)) <=> (greater(X, Y) | greater(Y, X))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y)))))), rewrite((~((X = Y) <=> (greater(Y, X) | greater(X, Y)))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))), (((~(X = Y)) <=> (greater(X, Y) | greater(Y, X))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(33,plain,
% 0.19/0.43      (![X: age, Y: age] : ((~(X = Y)) <=> (greater(X, Y) | greater(Y, X))) <=> ![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[32])).
% 0.19/0.43  tff(34,axiom,(![X: age, Y: age] : ((~(X = Y)) <=> (greater(X, Y) | greater(Y, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','age_greater')).
% 0.19/0.43  tff(35,plain,
% 0.19/0.43      (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[34, 33])).
% 0.19/0.43  tff(36,plain,
% 0.19/0.43      (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[35, 31])).
% 0.19/0.43  tff(37,plain,(
% 0.19/0.43      ![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.19/0.43      inference(skolemize,[status(sab)],[36])).
% 0.19/0.43  tff(38,plain,
% 0.19/0.43      (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[37, 30])).
% 0.19/0.43  tff(39,plain,
% 0.19/0.43      ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(c) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0)))))),
% 0.19/0.43      inference(quant_inst,[status(thm)],[])).
% 0.19/0.43  tff(40,plain,
% 0.19/0.43      (~((age_of(c) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0))))),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[39, 38])).
% 0.19/0.43  tff(41,plain,
% 0.19/0.43      (?[X: knowheyan] : greater(age_of(c), age_of(X)) <=> ?[X: knowheyan] : greater(age_of(c), age_of(X))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(42,axiom,(?[X: knowheyan] : greater(age_of(c), age_of(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c_not_youngest')).
% 0.19/0.43  tff(43,plain,
% 0.19/0.43      (?[X: knowheyan] : greater(age_of(c), age_of(X))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[42, 41])).
% 0.19/0.43  tff(44,plain,(
% 0.19/0.43      greater(age_of(c), age_of(X!0))),
% 0.19/0.43      inference(skolemize,[status(sab)],[43])).
% 0.19/0.43  tff(45,plain,
% 0.19/0.43      ((greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0))) | (~greater(age_of(c), age_of(X!0)))),
% 0.19/0.43      inference(tautology,[status(thm)],[])).
% 0.19/0.43  tff(46,plain,
% 0.19/0.43      (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0))),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[45, 44])).
% 0.19/0.43  tff(47,plain,
% 0.19/0.43      (((age_of(c) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0)))) | (~(age_of(c) = age_of(X!0))) | (~(greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0))))),
% 0.19/0.43      inference(tautology,[status(thm)],[])).
% 0.19/0.43  tff(48,plain,
% 0.19/0.43      (((age_of(c) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0)))) | (~(age_of(c) = age_of(X!0)))),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[47, 46])).
% 0.19/0.43  tff(49,plain,
% 0.19/0.43      (~(age_of(c) = age_of(X!0))),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[48, 40])).
% 0.19/0.43  tff(50,plain,
% 0.19/0.43      ($false),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[49, 28])).
% 0.19/0.43  tff(51,plain,(~(X!0 = c)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.43  tff(52,plain,
% 0.19/0.43      ($false),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[51, 25])).
% 0.19/0.43  tff(53,plain,((~(job_of(X!0) = airfoil_technician)) | (~(job_of(c) = airfoil_technician))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.43  tff(54,plain,
% 0.19/0.43      (~(job_of(X!0) = airfoil_technician)),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[53, 14])).
% 0.19/0.43  tff(55,plain,
% 0.19/0.43      (greater(age_of(b), age_of(c)) <=> greater(age_of(b), age_of(c))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(56,axiom,(greater(age_of(b), age_of(c))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','age_info4')).
% 0.19/0.43  tff(57,plain,
% 0.19/0.43      (greater(age_of(b), age_of(c))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[56, 55])).
% 0.19/0.43  tff(58,plain,
% 0.19/0.43      (greater(age_of(d), age_of(b)) <=> greater(age_of(d), age_of(b))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(59,axiom,(greater(age_of(d), age_of(b))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','age_info2')).
% 0.19/0.43  tff(60,plain,
% 0.19/0.43      (greater(age_of(d), age_of(b))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[59, 58])).
% 0.19/0.43  tff(61,plain,
% 0.19/0.43      (![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z))) <=> ![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(62,plain,
% 0.19/0.43      (^[X: age, Y: age, Z: age] : trans(monotonicity(trans(monotonicity(rewrite((greater(X, Y) & greater(Y, Z)) <=> (~((~greater(X, Y)) | (~greater(Y, Z))))), ((~(greater(X, Y) & greater(Y, Z))) <=> (~(~((~greater(X, Y)) | (~greater(Y, Z))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, Z))))) <=> ((~greater(X, Y)) | (~greater(Y, Z)))), ((~(greater(X, Y) & greater(Y, Z))) <=> ((~greater(X, Y)) | (~greater(Y, Z))))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (((~greater(X, Y)) | (~greater(Y, Z))) | greater(X, Z)))), rewrite((((~greater(X, Y)) | (~greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(63,plain,
% 0.19/0.43      (![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[62])).
% 0.19/0.43  tff(64,plain,
% 0.19/0.43      (![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(65,plain,
% 0.19/0.43      (^[X: age, Y: age, Z: age] : rewrite(((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(66,plain,
% 0.19/0.43      (![X: age, Y: age, Z: age] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[65])).
% 0.19/0.43  tff(67,axiom,(![X: age, Y: age, Z: age] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','age_transitive')).
% 0.19/0.43  tff(68,plain,
% 0.19/0.43      (![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[67, 66])).
% 0.19/0.43  tff(69,plain,
% 0.19/0.43      (![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[68, 64])).
% 0.19/0.43  tff(70,plain,(
% 0.19/0.43      ![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.43      inference(skolemize,[status(sab)],[69])).
% 0.19/0.43  tff(71,plain,
% 0.19/0.43      (![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[70, 63])).
% 0.19/0.43  tff(72,plain,
% 0.19/0.43      (![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[71, 61])).
% 0.19/0.43  tff(73,plain,
% 0.19/0.43      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(c)) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(d), age_of(c)) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(74,plain,
% 0.19/0.43      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(c)) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))))),
% 0.19/0.43      inference(quant_inst,[status(thm)],[])).
% 0.19/0.43  tff(75,plain,
% 0.19/0.43      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(d), age_of(c)) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c)))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[74, 73])).
% 0.19/0.43  tff(76,plain,
% 0.19/0.43      (greater(age_of(d), age_of(c))),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[75, 72, 60, 57])).
% 0.19/0.43  tff(77,plain,
% 0.19/0.43      (^[X: age, Y: age] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(78,plain,
% 0.19/0.43      (![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[77])).
% 0.19/0.43  tff(79,plain,
% 0.19/0.43      (^[X: age, Y: age] : trans(monotonicity(rewrite((greater(X, Y) & greater(Y, X)) <=> (~((~greater(X, Y)) | (~greater(Y, X))))), ((~(greater(X, Y) & greater(Y, X))) <=> (~(~((~greater(X, Y)) | (~greater(Y, X))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, X))))) <=> ((~greater(X, Y)) | (~greater(Y, X)))), ((~(greater(X, Y) & greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X)))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(80,plain,
% 0.19/0.43      (![X: age, Y: age] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[79])).
% 0.19/0.43  tff(81,plain,
% 0.19/0.43      (![X: age, Y: age] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: age, Y: age] : (~(greater(X, Y) & greater(Y, X)))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(82,axiom,(![X: age, Y: age] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','age_irreflexive')).
% 0.19/0.43  tff(83,plain,
% 0.19/0.43      (![X: age, Y: age] : (~(greater(X, Y) & greater(Y, X)))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[82, 81])).
% 0.19/0.43  tff(84,plain,(
% 0.19/0.43      ![X: age, Y: age] : (~(greater(X, Y) & greater(Y, X)))),
% 0.19/0.43      inference(skolemize,[status(sab)],[83])).
% 0.19/0.43  tff(85,plain,
% 0.19/0.43      (![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[84, 80])).
% 0.19/0.43  tff(86,plain,
% 0.19/0.43      (![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[85, 78])).
% 0.19/0.43  tff(87,plain,
% 0.19/0.43      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(c), age_of(d))) | (~greater(age_of(d), age_of(c))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(c), age_of(d))) | (~greater(age_of(d), age_of(c))))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(88,plain,
% 0.19/0.43      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(c), age_of(d))) | (~greater(age_of(d), age_of(c))))),
% 0.19/0.43      inference(quant_inst,[status(thm)],[])).
% 0.19/0.43  tff(89,plain,
% 0.19/0.43      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(c), age_of(d))) | (~greater(age_of(d), age_of(c)))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[88, 87])).
% 0.19/0.43  tff(90,plain,
% 0.19/0.43      (~greater(age_of(c), age_of(d))),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[89, 86, 76])).
% 0.19/0.43  tff(91,plain,
% 0.19/0.43      (^[X: knowheyan, Y: knowheyan] : refl((greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner))) <=> (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(92,plain,
% 0.19/0.43      (![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner))) <=> ![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[91])).
% 0.19/0.43  tff(93,plain,
% 0.19/0.43      (^[X: knowheyan, Y: knowheyan] : trans(monotonicity(trans(monotonicity(rewrite(((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner)) <=> (~((~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner))))), ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) <=> (~(~((~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner))))))), rewrite((~(~((~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner))))) <=> ((~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))), ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) <=> ((~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner))))), (((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y))) <=> (((~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y))))), rewrite((((~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y))) <=> (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))), (((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y))) <=> (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(94,plain,
% 0.19/0.43      (![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y))) <=> ![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[93])).
% 0.19/0.43  tff(95,plain,
% 0.19/0.43      (![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y))) <=> ![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(96,plain,
% 0.19/0.43      (^[X: knowheyan, Y: knowheyan] : rewrite((((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner)) => greater(age_of(X), age_of(Y))) <=> ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(97,plain,
% 0.19/0.43      (![X: knowheyan, Y: knowheyan] : (((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner)) => greater(age_of(X), age_of(Y))) <=> ![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[96])).
% 0.19/0.43  tff(98,axiom,(![X: knowheyan, Y: knowheyan] : (((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner)) => greater(age_of(X), age_of(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','age_job1')).
% 0.19/0.43  tff(99,plain,
% 0.19/0.43      (![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[98, 97])).
% 0.19/0.43  tff(100,plain,
% 0.19/0.43      (![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[99, 95])).
% 0.19/0.43  tff(101,plain,(
% 0.19/0.43      ![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = airfoil_technician) & (job_of(Y) = space_planner))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.44      inference(skolemize,[status(sab)],[100])).
% 0.19/0.44  tff(102,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[101, 94])).
% 0.19/0.44  tff(103,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[102, 92])).
% 0.19/0.44  tff(104,plain,
% 0.19/0.44      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(d) = space_planner)) | greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(d) = space_planner)) | greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician)))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(105,plain,
% 0.19/0.44      ((greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician)) | (~(job_of(d) = space_planner))) <=> ((~(job_of(d) = space_planner)) | greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician)))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(106,plain,
% 0.19/0.44      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician)) | (~(job_of(d) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(d) = space_planner)) | greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician))))),
% 0.19/0.44      inference(monotonicity,[status(thm)],[105])).
% 0.19/0.44  tff(107,plain,
% 0.19/0.44      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician)) | (~(job_of(d) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(d) = space_planner)) | greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician)))),
% 0.19/0.44      inference(transitivity,[status(thm)],[106, 104])).
% 0.19/0.44  tff(108,plain,
% 0.19/0.44      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician)) | (~(job_of(d) = space_planner)))),
% 0.19/0.44      inference(quant_inst,[status(thm)],[])).
% 0.19/0.44  tff(109,plain,
% 0.19/0.44      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(d) = space_planner)) | greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[108, 107])).
% 0.19/0.44  tff(110,plain,
% 0.19/0.44      ((~(job_of(d) = space_planner)) | greater(age_of(c), age_of(d)) | (~(job_of(c) = airfoil_technician))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[109, 103])).
% 0.19/0.44  tff(111,plain,
% 0.19/0.44      ((~(job_of(d) = space_planner)) | (~(job_of(c) = airfoil_technician))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[110, 90])).
% 0.19/0.44  tff(112,plain,
% 0.19/0.44      (~(job_of(d) = space_planner)),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[111, 14])).
% 0.19/0.44  tff(113,plain,
% 0.19/0.44      ((~![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0)) | (inj_2(job_of(d)) = d)),
% 0.19/0.44      inference(quant_inst,[status(thm)],[])).
% 0.19/0.44  tff(114,plain,
% 0.19/0.44      (inj_2(job_of(d)) = d),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[113, 11])).
% 0.19/0.44  tff(115,plain,
% 0.19/0.44      (airfoil_technician = job_of(c)),
% 0.19/0.44      inference(symmetry,[status(thm)],[14])).
% 0.19/0.44  tff(116,assumption,(job_of(d) = airfoil_technician), introduced(assumption)).
% 0.19/0.44  tff(117,plain,
% 0.19/0.44      (job_of(d) = job_of(c)),
% 0.19/0.44      inference(transitivity,[status(thm)],[116, 115])).
% 0.19/0.44  tff(118,plain,
% 0.19/0.44      (inj_2(job_of(d)) = inj_2(job_of(c))),
% 0.19/0.44      inference(monotonicity,[status(thm)],[117])).
% 0.19/0.44  tff(119,plain,
% 0.19/0.44      (inj_2(job_of(c)) = inj_2(job_of(d))),
% 0.19/0.44      inference(symmetry,[status(thm)],[118])).
% 0.19/0.44  tff(120,plain,
% 0.19/0.44      (c = inj_2(job_of(c))),
% 0.19/0.44      inference(symmetry,[status(thm)],[16])).
% 0.19/0.44  tff(121,plain,
% 0.19/0.44      (c = d),
% 0.19/0.44      inference(transitivity,[status(thm)],[120, 119, 114])).
% 0.19/0.44  tff(122,plain,
% 0.19/0.44      ((~(c = d)) <=> (~(c = d))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(123,axiom,(~(c = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c_not_d')).
% 0.19/0.44  tff(124,plain,
% 0.19/0.44      (~(c = d)),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[123, 122])).
% 0.19/0.44  tff(125,plain,
% 0.19/0.44      ($false),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[124, 121])).
% 0.19/0.44  tff(126,plain,((~(job_of(d) = airfoil_technician)) | (~(job_of(c) = airfoil_technician))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44  tff(127,plain,
% 0.19/0.44      (~(job_of(d) = airfoil_technician)),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[126, 14])).
% 0.19/0.44  tff(128,assumption,(job_of(b) = airfoil_technician), introduced(assumption)).
% 0.19/0.44  tff(129,plain,
% 0.19/0.44      (job_of(b) = job_of(c)),
% 0.19/0.44      inference(transitivity,[status(thm)],[128, 115])).
% 0.19/0.44  tff(130,plain,
% 0.19/0.44      (inj_2(job_of(b)) = inj_2(job_of(c))),
% 0.19/0.44      inference(monotonicity,[status(thm)],[129])).
% 0.19/0.44  tff(131,plain,
% 0.19/0.44      (b = inj_2(job_of(b))),
% 0.19/0.44      inference(symmetry,[status(thm)],[13])).
% 0.19/0.44  tff(132,plain,
% 0.19/0.44      (b = c),
% 0.19/0.44      inference(transitivity,[status(thm)],[131, 130, 16])).
% 0.19/0.44  tff(133,plain,
% 0.19/0.44      ((~(b = c)) <=> (~(b = c))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(134,axiom,(~(b = c)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','b_not_c')).
% 0.19/0.44  tff(135,plain,
% 0.19/0.44      (~(b = c)),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[134, 133])).
% 0.19/0.44  tff(136,plain,
% 0.19/0.44      ($false),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[135, 132])).
% 0.19/0.44  tff(137,plain,((~(job_of(b) = airfoil_technician)) | (~(job_of(c) = airfoil_technician))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44  tff(138,plain,
% 0.19/0.44      (~(job_of(b) = airfoil_technician)),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[137, 14])).
% 0.19/0.44  tff(139,assumption,(~(job_of(d) = space_planner)), introduced(assumption)).
% 0.19/0.44  tff(140,assumption,(~(job_of(d) = airfoil_technician)), introduced(assumption)).
% 0.19/0.44  tff(141,assumption,(job_of(X!0) = space_planner), introduced(assumption)).
% 0.19/0.44  tff(142,plain,
% 0.19/0.44      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c))))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(143,plain,
% 0.19/0.44      ((greater(age_of(d), age_of(X!0)) | (~greater(age_of(d), age_of(c))) | (~greater(age_of(c), age_of(X!0)))) <=> (greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c))))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(144,plain,
% 0.19/0.44      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(d), age_of(c))) | (~greater(age_of(c), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c)))))),
% 0.19/0.44      inference(monotonicity,[status(thm)],[143])).
% 0.19/0.44  tff(145,plain,
% 0.19/0.44      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(d), age_of(c))) | (~greater(age_of(c), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c))))),
% 0.19/0.44      inference(transitivity,[status(thm)],[144, 142])).
% 0.19/0.44  tff(146,plain,
% 0.19/0.44      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(d), age_of(c))) | (~greater(age_of(c), age_of(X!0))))),
% 0.19/0.44      inference(quant_inst,[status(thm)],[])).
% 0.19/0.44  tff(147,plain,
% 0.19/0.44      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[146, 145])).
% 0.19/0.44  tff(148,plain,
% 0.19/0.44      (greater(age_of(d), age_of(X!0))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[147, 72, 44, 76])).
% 0.19/0.44  tff(149,plain,
% 0.19/0.44      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(X!0), age_of(d))) | (~greater(age_of(d), age_of(X!0))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(X!0), age_of(d))) | (~greater(age_of(d), age_of(X!0))))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(150,plain,
% 0.19/0.44      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(X!0), age_of(d))) | (~greater(age_of(d), age_of(X!0))))),
% 0.19/0.44      inference(quant_inst,[status(thm)],[])).
% 0.19/0.44  tff(151,plain,
% 0.19/0.44      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(X!0), age_of(d))) | (~greater(age_of(d), age_of(X!0)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[150, 149])).
% 0.19/0.44  tff(152,plain,
% 0.19/0.44      (~greater(age_of(X!0), age_of(d))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[151, 86, 148])).
% 0.19/0.44  tff(153,plain,
% 0.19/0.44      (^[X: knowheyan, Y: knowheyan] : refl((greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist))) <=> (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist))))),
% 0.19/0.44      inference(bind,[status(th)],[])).
% 0.19/0.44  tff(154,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist))) <=> ![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))),
% 0.19/0.44      inference(quant_intro,[status(thm)],[153])).
% 0.19/0.44  tff(155,plain,
% 0.19/0.44      (^[X: knowheyan, Y: knowheyan] : trans(monotonicity(trans(monotonicity(rewrite(((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist)) <=> (~((~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist))))), ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) <=> (~(~((~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist))))))), rewrite((~(~((~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist))))) <=> ((~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))), ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) <=> ((~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist))))), (((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y))) <=> (((~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y))))), rewrite((((~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y))) <=> (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))), (((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y))) <=> (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))))),
% 0.19/0.44      inference(bind,[status(th)],[])).
% 0.19/0.44  tff(156,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y))) <=> ![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))),
% 0.19/0.44      inference(quant_intro,[status(thm)],[155])).
% 0.19/0.44  tff(157,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y))) <=> ![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(158,plain,
% 0.19/0.44      (^[X: knowheyan, Y: knowheyan] : rewrite((((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist)) => greater(age_of(X), age_of(Y))) <=> ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y))))),
% 0.19/0.44      inference(bind,[status(th)],[])).
% 0.19/0.44  tff(159,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : (((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist)) => greater(age_of(X), age_of(Y))) <=> ![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.44      inference(quant_intro,[status(thm)],[158])).
% 0.19/0.44  tff(160,axiom,(![X: knowheyan, Y: knowheyan] : (((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist)) => greater(age_of(X), age_of(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','age_job2')).
% 0.19/0.44  tff(161,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[160, 159])).
% 0.19/0.44  tff(162,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[161, 157])).
% 0.19/0.44  tff(163,plain,(
% 0.19/0.44      ![X: knowheyan, Y: knowheyan] : ((~((job_of(X) = space_planner) & (job_of(Y) = synthetic_food_nutitionist))) | greater(age_of(X), age_of(Y)))),
% 0.19/0.44      inference(skolemize,[status(sab)],[162])).
% 0.19/0.44  tff(164,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[163, 156])).
% 0.19/0.44  tff(165,plain,
% 0.19/0.44      (![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[164, 154])).
% 0.19/0.44  tff(166,plain,
% 0.19/0.44      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(X!0), age_of(d)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(X!0), age_of(d)))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(167,plain,
% 0.19/0.44      ((greater(age_of(X!0), age_of(d)) | (~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist))) <=> ((~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(X!0), age_of(d)))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(168,plain,
% 0.19/0.44      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(X!0), age_of(d)) | (~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(X!0), age_of(d))))),
% 0.19/0.44      inference(monotonicity,[status(thm)],[167])).
% 0.19/0.44  tff(169,plain,
% 0.19/0.44      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(X!0), age_of(d)) | (~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(X!0), age_of(d)))),
% 0.19/0.44      inference(transitivity,[status(thm)],[168, 166])).
% 0.19/0.44  tff(170,plain,
% 0.19/0.44      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(X!0), age_of(d)) | (~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)))),
% 0.19/0.44      inference(quant_inst,[status(thm)],[])).
% 0.19/0.44  tff(171,plain,
% 0.19/0.44      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(X!0), age_of(d))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[170, 169])).
% 0.19/0.44  tff(172,plain,
% 0.19/0.44      ((~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(X!0), age_of(d))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[171, 165])).
% 0.19/0.44  tff(173,plain,
% 0.19/0.44      ((~(job_of(X!0) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[172, 152])).
% 0.19/0.44  tff(174,plain,
% 0.19/0.44      (~(job_of(d) = synthetic_food_nutitionist)),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[173, 141])).
% 0.19/0.44  tff(175,assumption,(![Y: knowheyan] : (~greater(age_of(Y), age_of(d)))), introduced(assumption)).
% 0.19/0.44  tff(176,plain,
% 0.19/0.44      (greater(age_of(a), age_of(d)) <=> greater(age_of(a), age_of(d))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(177,axiom,(greater(age_of(a), age_of(d))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','age_info1')).
% 0.19/0.44  tff(178,plain,
% 0.19/0.44      (greater(age_of(a), age_of(d))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[177, 176])).
% 0.19/0.44  tff(179,plain,
% 0.19/0.44      ((~![Y: knowheyan] : (~greater(age_of(Y), age_of(d)))) | (~greater(age_of(a), age_of(d)))),
% 0.19/0.44      inference(quant_inst,[status(thm)],[])).
% 0.19/0.44  tff(180,plain,
% 0.19/0.44      ($false),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[179, 178, 175])).
% 0.19/0.44  tff(181,plain,(~![Y: knowheyan] : (~greater(age_of(Y), age_of(d)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44  tff(182,plain,
% 0.19/0.44      (^[X: knowheyan] : refl(((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X)))) <=> ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X)))))),
% 0.19/0.44      inference(bind,[status(th)],[])).
% 0.19/0.44  tff(183,plain,
% 0.19/0.44      (![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X)))) <=> ![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))),
% 0.19/0.44      inference(quant_intro,[status(thm)],[182])).
% 0.19/0.44  tff(184,plain,
% 0.19/0.44      (^[X: knowheyan] : rewrite(((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X)))) <=> ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X)))))),
% 0.19/0.44      inference(bind,[status(th)],[])).
% 0.19/0.44  tff(185,plain,
% 0.19/0.44      (![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X)))) <=> ![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))),
% 0.19/0.44      inference(quant_intro,[status(thm)],[184])).
% 0.19/0.44  tff(186,plain,
% 0.19/0.44      (![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X)))) <=> ![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))),
% 0.19/0.44      inference(transitivity,[status(thm)],[185, 183])).
% 0.19/0.44  tff(187,plain,
% 0.19/0.44      (![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | (~?[Y: knowheyan] : greater(age_of(Y), age_of(X)))) <=> ![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | (~?[Y: knowheyan] : greater(age_of(Y), age_of(X))))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(188,plain,
% 0.19/0.44      (^[X: knowheyan] : trans(monotonicity(rewrite((~?[Y: knowheyan] : greater(age_of(Y), age_of(X))) <=> (~?[Y: knowheyan] : greater(age_of(Y), age_of(X)))), (((job_of(X) = communications_consultant) => (~?[Y: knowheyan] : greater(age_of(Y), age_of(X)))) <=> ((job_of(X) = communications_consultant) => (~?[Y: knowheyan] : greater(age_of(Y), age_of(X)))))), rewrite(((job_of(X) = communications_consultant) => (~?[Y: knowheyan] : greater(age_of(Y), age_of(X)))) <=> ((~(job_of(X) = communications_consultant)) | (~?[Y: knowheyan] : greater(age_of(Y), age_of(X))))), (((job_of(X) = communications_consultant) => (~?[Y: knowheyan] : greater(age_of(Y), age_of(X)))) <=> ((~(job_of(X) = communications_consultant)) | (~?[Y: knowheyan] : greater(age_of(Y), age_of(X))))))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(189,plain,
% 0.19/0.45      (![X: knowheyan] : ((job_of(X) = communications_consultant) => (~?[Y: knowheyan] : greater(age_of(Y), age_of(X)))) <=> ![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | (~?[Y: knowheyan] : greater(age_of(Y), age_of(X))))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[188])).
% 0.19/0.45  tff(190,axiom,(![X: knowheyan] : ((job_of(X) = communications_consultant) => (~?[Y: knowheyan] : greater(age_of(Y), age_of(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','communications_consultant_not_younger')).
% 0.19/0.45  tff(191,plain,
% 0.19/0.45      (![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | (~?[Y: knowheyan] : greater(age_of(Y), age_of(X))))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[190, 189])).
% 0.19/0.45  tff(192,plain,
% 0.19/0.45      (![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | (~?[Y: knowheyan] : greater(age_of(Y), age_of(X))))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[191, 187])).
% 0.19/0.45  tff(193,plain,(
% 0.19/0.45      ![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))),
% 0.19/0.45      inference(skolemize,[status(sab)],[192])).
% 0.19/0.45  tff(194,plain,
% 0.19/0.45      (![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[193, 186])).
% 0.19/0.45  tff(195,plain,
% 0.19/0.45      (((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | ((~(job_of(d) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(d))))) <=> ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | (~(job_of(d) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(d))))),
% 0.19/0.45      inference(rewrite,[status(thm)],[])).
% 0.19/0.45  tff(196,plain,
% 0.19/0.45      ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | ((~(job_of(d) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(d))))),
% 0.19/0.45      inference(quant_inst,[status(thm)],[])).
% 0.19/0.45  tff(197,plain,
% 0.19/0.45      ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | (~(job_of(d) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(d)))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[196, 195])).
% 0.19/0.45  tff(198,plain,
% 0.19/0.45      ((~(job_of(d) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(d)))),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[197, 194])).
% 0.19/0.45  tff(199,plain,
% 0.19/0.45      (~(job_of(d) = communications_consultant)),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[198, 181])).
% 0.19/0.45  tff(200,plain,
% 0.19/0.45      (![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician)) <=> ![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))),
% 0.19/0.45      inference(rewrite,[status(thm)],[])).
% 0.19/0.45  tff(201,plain,
% 0.19/0.45      (^[X: job] : trans(monotonicity(trans(monotonicity(rewrite((((X = airfoil_technician) | (X = communications_consultant)) | (X = space_planner)) <=> ((X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))), (((((X = airfoil_technician) | (X = communications_consultant)) | (X = space_planner)) | (X = lunar_energy_engineer)) <=> (((X = space_planner) | (X = communications_consultant) | (X = airfoil_technician)) | (X = lunar_energy_engineer)))), rewrite((((X = space_planner) | (X = communications_consultant) | (X = airfoil_technician)) | (X = lunar_energy_engineer)) <=> ((X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))), (((((X = airfoil_technician) | (X = communications_consultant)) | (X = space_planner)) | (X = lunar_energy_engineer)) <=> ((X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician)))), ((((((X = airfoil_technician) | (X = communications_consultant)) | (X = space_planner)) | (X = lunar_energy_engineer)) | (X = synthetic_food_nutitionist)) <=> (((X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician)) | (X = synthetic_food_nutitionist)))), rewrite((((X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician)) | (X = synthetic_food_nutitionist)) <=> ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))), ((((((X = airfoil_technician) | (X = communications_consultant)) | (X = space_planner)) | (X = lunar_energy_engineer)) | (X = synthetic_food_nutitionist)) <=> ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(202,plain,
% 0.19/0.45      (![X: job] : (((((X = airfoil_technician) | (X = communications_consultant)) | (X = space_planner)) | (X = lunar_energy_engineer)) | (X = synthetic_food_nutitionist)) <=> ![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[201])).
% 0.19/0.45  tff(203,axiom,(![X: job] : (((((X = airfoil_technician) | (X = communications_consultant)) | (X = space_planner)) | (X = lunar_energy_engineer)) | (X = synthetic_food_nutitionist))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','only_jobs')).
% 0.19/0.45  tff(204,plain,
% 0.19/0.45      (![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[203, 202])).
% 0.19/0.45  tff(205,plain,
% 0.19/0.45      (![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[204, 200])).
% 0.19/0.45  tff(206,plain,(
% 0.19/0.45      ![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))),
% 0.19/0.45      inference(skolemize,[status(sab)],[205])).
% 0.19/0.45  tff(207,plain,
% 0.19/0.45      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = synthetic_food_nutitionist) | (job_of(d) = airfoil_technician) | (job_of(d) = communications_consultant))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = synthetic_food_nutitionist) | (job_of(d) = airfoil_technician) | (job_of(d) = communications_consultant))),
% 0.19/0.45      inference(rewrite,[status(thm)],[])).
% 0.19/0.45  tff(208,plain,
% 0.19/0.45      (((job_of(d) = synthetic_food_nutitionist) | (job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = communications_consultant) | (job_of(d) = airfoil_technician)) <=> ((job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = synthetic_food_nutitionist) | (job_of(d) = airfoil_technician) | (job_of(d) = communications_consultant))),
% 0.19/0.45      inference(rewrite,[status(thm)],[])).
% 0.19/0.45  tff(209,plain,
% 0.19/0.45      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(d) = synthetic_food_nutitionist) | (job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = communications_consultant) | (job_of(d) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = synthetic_food_nutitionist) | (job_of(d) = airfoil_technician) | (job_of(d) = communications_consultant)))),
% 0.19/0.45      inference(monotonicity,[status(thm)],[208])).
% 0.19/0.45  tff(210,plain,
% 0.19/0.45      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(d) = synthetic_food_nutitionist) | (job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = communications_consultant) | (job_of(d) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = synthetic_food_nutitionist) | (job_of(d) = airfoil_technician) | (job_of(d) = communications_consultant))),
% 0.19/0.45      inference(transitivity,[status(thm)],[209, 207])).
% 0.19/0.45  tff(211,plain,
% 0.19/0.45      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(d) = synthetic_food_nutitionist) | (job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = communications_consultant) | (job_of(d) = airfoil_technician))),
% 0.19/0.45      inference(quant_inst,[status(thm)],[])).
% 0.19/0.45  tff(212,plain,
% 0.19/0.45      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = synthetic_food_nutitionist) | (job_of(d) = airfoil_technician) | (job_of(d) = communications_consultant)),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[211, 210])).
% 0.19/0.45  tff(213,plain,
% 0.19/0.45      ((job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = synthetic_food_nutitionist) | (job_of(d) = airfoil_technician) | (job_of(d) = communications_consultant)),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[212, 206])).
% 0.19/0.45  tff(214,plain,
% 0.19/0.45      ((job_of(d) = lunar_energy_engineer) | (job_of(d) = space_planner) | (job_of(d) = synthetic_food_nutitionist) | (job_of(d) = airfoil_technician)),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[213, 199])).
% 0.19/0.45  tff(215,plain,
% 0.19/0.45      (job_of(d) = lunar_energy_engineer),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[214, 174, 140, 139])).
% 0.19/0.45  tff(216,assumption,(~(job_of(b) = airfoil_technician)), introduced(assumption)).
% 0.19/0.45  tff(217,assumption,(job_of(b) = space_planner), introduced(assumption)).
% 0.19/0.45  tff(218,plain,
% 0.19/0.45      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(b), age_of(X!0)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(b), age_of(X!0)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(X!0))))),
% 0.19/0.45      inference(rewrite,[status(thm)],[])).
% 0.19/0.45  tff(219,plain,
% 0.19/0.45      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(b), age_of(X!0)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(X!0))))),
% 0.19/0.45      inference(quant_inst,[status(thm)],[])).
% 0.19/0.45  tff(220,plain,
% 0.19/0.45      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(b), age_of(X!0)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(X!0)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[219, 218])).
% 0.19/0.46  tff(221,plain,
% 0.19/0.46      (greater(age_of(b), age_of(X!0))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[220, 72, 57, 44])).
% 0.19/0.46  tff(222,plain,
% 0.19/0.46      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(X!0), age_of(b))) | (~greater(age_of(b), age_of(X!0))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(X!0), age_of(b))) | (~greater(age_of(b), age_of(X!0))))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(223,plain,
% 0.19/0.46      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(X!0), age_of(b))) | (~greater(age_of(b), age_of(X!0))))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(224,plain,
% 0.19/0.46      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(X!0), age_of(b))) | (~greater(age_of(b), age_of(X!0)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[223, 222])).
% 0.19/0.46  tff(225,plain,
% 0.19/0.46      (~greater(age_of(X!0), age_of(b))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[224, 86, 221])).
% 0.19/0.46  tff(226,plain,
% 0.19/0.46      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(b) = space_planner)) | greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = space_planner)) | greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician)))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(227,plain,
% 0.19/0.46      ((greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician)) | (~(job_of(b) = space_planner))) <=> ((~(job_of(b) = space_planner)) | greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician)))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(228,plain,
% 0.19/0.46      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician)) | (~(job_of(b) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(b) = space_planner)) | greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician))))),
% 0.19/0.46      inference(monotonicity,[status(thm)],[227])).
% 0.19/0.46  tff(229,plain,
% 0.19/0.46      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician)) | (~(job_of(b) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = space_planner)) | greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician)))),
% 0.19/0.46      inference(transitivity,[status(thm)],[228, 226])).
% 0.19/0.46  tff(230,plain,
% 0.19/0.46      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician)) | (~(job_of(b) = space_planner)))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(231,plain,
% 0.19/0.46      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = space_planner)) | greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[230, 229])).
% 0.19/0.46  tff(232,plain,
% 0.19/0.46      ((~(job_of(b) = space_planner)) | greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = airfoil_technician))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[231, 103])).
% 0.19/0.46  tff(233,plain,
% 0.19/0.46      ((~(job_of(b) = space_planner)) | (~(job_of(X!0) = airfoil_technician))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[232, 225])).
% 0.19/0.46  tff(234,plain,
% 0.19/0.46      (~(job_of(X!0) = airfoil_technician)),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[233, 217])).
% 0.19/0.46  tff(235,plain,
% 0.19/0.46      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(b))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(b))))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(236,plain,
% 0.19/0.46      (((~greater(age_of(c), age_of(b))) | (~greater(age_of(b), age_of(c)))) <=> ((~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(b))))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(237,plain,
% 0.19/0.46      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(c), age_of(b))) | (~greater(age_of(b), age_of(c))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(b)))))),
% 0.19/0.46      inference(monotonicity,[status(thm)],[236])).
% 0.19/0.46  tff(238,plain,
% 0.19/0.46      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(c), age_of(b))) | (~greater(age_of(b), age_of(c))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(b))))),
% 0.19/0.46      inference(transitivity,[status(thm)],[237, 235])).
% 0.19/0.46  tff(239,plain,
% 0.19/0.46      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(c), age_of(b))) | (~greater(age_of(b), age_of(c))))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(240,plain,
% 0.19/0.46      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(b)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[239, 238])).
% 0.19/0.46  tff(241,plain,
% 0.19/0.46      (~greater(age_of(c), age_of(b))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[240, 86, 57])).
% 0.19/0.46  tff(242,plain,
% 0.19/0.46      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(b) = space_planner)) | greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = space_planner)) | greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician)))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(243,plain,
% 0.19/0.46      ((greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician)) | (~(job_of(b) = space_planner))) <=> ((~(job_of(b) = space_planner)) | greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician)))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(244,plain,
% 0.19/0.46      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician)) | (~(job_of(b) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(b) = space_planner)) | greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician))))),
% 0.19/0.46      inference(monotonicity,[status(thm)],[243])).
% 0.19/0.46  tff(245,plain,
% 0.19/0.46      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician)) | (~(job_of(b) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = space_planner)) | greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician)))),
% 0.19/0.46      inference(transitivity,[status(thm)],[244, 242])).
% 0.19/0.46  tff(246,plain,
% 0.19/0.46      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician)) | (~(job_of(b) = space_planner)))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(247,plain,
% 0.19/0.46      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = space_planner)) | greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[246, 245])).
% 0.19/0.46  tff(248,plain,
% 0.19/0.46      ((~(job_of(b) = space_planner)) | greater(age_of(c), age_of(b)) | (~(job_of(c) = airfoil_technician))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[247, 103])).
% 0.19/0.46  tff(249,plain,
% 0.19/0.46      ((~(job_of(b) = space_planner)) | (~(job_of(c) = airfoil_technician))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[248, 241])).
% 0.19/0.46  tff(250,plain,
% 0.19/0.46      (~(job_of(c) = airfoil_technician)),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[249, 217])).
% 0.19/0.46  tff(251,plain,
% 0.19/0.46      (space_planner = job_of(b)),
% 0.19/0.46      inference(symmetry,[status(thm)],[217])).
% 0.19/0.46  tff(252,assumption,(job_of(c) = space_planner), introduced(assumption)).
% 0.19/0.46  tff(253,plain,
% 0.19/0.46      (job_of(c) = job_of(b)),
% 0.19/0.46      inference(transitivity,[status(thm)],[252, 251])).
% 0.19/0.46  tff(254,plain,
% 0.19/0.46      (inj_2(job_of(c)) = inj_2(job_of(b))),
% 0.19/0.46      inference(monotonicity,[status(thm)],[253])).
% 0.19/0.46  tff(255,plain,
% 0.19/0.46      (inj_2(job_of(b)) = inj_2(job_of(c))),
% 0.19/0.46      inference(symmetry,[status(thm)],[254])).
% 0.19/0.46  tff(256,plain,
% 0.19/0.46      (b = c),
% 0.19/0.46      inference(transitivity,[status(thm)],[131, 255, 16])).
% 0.19/0.46  tff(257,plain,
% 0.19/0.46      ($false),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[135, 256])).
% 0.19/0.46  tff(258,plain,((~(job_of(c) = space_planner)) | (~(job_of(b) = space_planner))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.46  tff(259,plain,
% 0.19/0.46      (~(job_of(c) = space_planner)),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[258, 217])).
% 0.19/0.46  tff(260,assumption,(![Y: knowheyan] : (~greater(age_of(Y), age_of(c)))), introduced(assumption)).
% 0.19/0.46  tff(261,plain,
% 0.19/0.46      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(b)) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(a), age_of(b)) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(262,plain,
% 0.19/0.46      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(b)) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(263,plain,
% 0.19/0.46      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(a), age_of(b)) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[262, 261])).
% 0.19/0.46  tff(264,plain,
% 0.19/0.46      (greater(age_of(a), age_of(b))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[263, 72, 178, 60])).
% 0.19/0.46  tff(265,plain,
% 0.19/0.46      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(c)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(a), age_of(b))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(a), age_of(c)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(a), age_of(b))))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(266,plain,
% 0.19/0.46      ((greater(age_of(a), age_of(c)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(c)))) <=> (greater(age_of(a), age_of(c)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(a), age_of(b))))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(267,plain,
% 0.19/0.46      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(c)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(c))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(c)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(a), age_of(b)))))),
% 0.19/0.46      inference(monotonicity,[status(thm)],[266])).
% 0.19/0.46  tff(268,plain,
% 0.19/0.46      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(c)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(c))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(a), age_of(c)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(a), age_of(b))))),
% 0.19/0.46      inference(transitivity,[status(thm)],[267, 265])).
% 0.19/0.46  tff(269,plain,
% 0.19/0.46      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(c)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(c))))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(270,plain,
% 0.19/0.46      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(a), age_of(c)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(a), age_of(b)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[269, 268])).
% 0.19/0.46  tff(271,plain,
% 0.19/0.46      (greater(age_of(a), age_of(c))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[270, 72, 57, 264])).
% 0.19/0.46  tff(272,plain,
% 0.19/0.46      ((~![Y: knowheyan] : (~greater(age_of(Y), age_of(c)))) | (~greater(age_of(a), age_of(c)))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(273,plain,
% 0.19/0.46      ($false),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[272, 271, 260])).
% 0.19/0.46  tff(274,plain,(~![Y: knowheyan] : (~greater(age_of(Y), age_of(c)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.46  tff(275,plain,
% 0.19/0.46      (((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | ((~(job_of(c) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(c))))) <=> ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | (~(job_of(c) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(c))))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(276,plain,
% 0.19/0.46      ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | ((~(job_of(c) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(c))))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(277,plain,
% 0.19/0.46      ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | (~(job_of(c) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(c)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[276, 275])).
% 0.19/0.46  tff(278,plain,
% 0.19/0.46      ((~(job_of(c) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(c)))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[277, 194])).
% 0.19/0.46  tff(279,plain,
% 0.19/0.46      (~(job_of(c) = communications_consultant)),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[278, 274])).
% 0.19/0.46  tff(280,plain,
% 0.19/0.46      (^[X: knowheyan] : refl(((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b))) <=> ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b))))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(281,plain,
% 0.19/0.46      (![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b))) <=> ![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))),
% 0.19/0.46      inference(quant_intro,[status(thm)],[280])).
% 0.19/0.46  tff(282,plain,
% 0.19/0.46      (![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b))) <=> ![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(283,plain,
% 0.19/0.46      (^[X: knowheyan] : rewrite(((job_of(X) = lunar_energy_engineer) => greater(age_of(X), age_of(b))) <=> ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b))))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(284,plain,
% 0.19/0.46      (![X: knowheyan] : ((job_of(X) = lunar_energy_engineer) => greater(age_of(X), age_of(b))) <=> ![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))),
% 0.19/0.46      inference(quant_intro,[status(thm)],[283])).
% 0.19/0.46  tff(285,axiom,(![X: knowheyan] : ((job_of(X) = lunar_energy_engineer) => greater(age_of(X), age_of(b)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','age_info3')).
% 0.19/0.47  tff(286,plain,
% 0.19/0.47      (![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[285, 284])).
% 0.19/0.47  tff(287,plain,
% 0.19/0.47      (![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[286, 282])).
% 0.19/0.47  tff(288,plain,(
% 0.19/0.47      ![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))),
% 0.19/0.47      inference(skolemize,[status(sab)],[287])).
% 0.19/0.47  tff(289,plain,
% 0.19/0.47      (![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[288, 281])).
% 0.19/0.47  tff(290,plain,
% 0.19/0.47      (((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | ((~(job_of(c) = lunar_energy_engineer)) | greater(age_of(c), age_of(b)))) <=> ((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | (~(job_of(c) = lunar_energy_engineer)) | greater(age_of(c), age_of(b)))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(291,plain,
% 0.19/0.47      ((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | ((~(job_of(c) = lunar_energy_engineer)) | greater(age_of(c), age_of(b)))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(292,plain,
% 0.19/0.47      ((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | (~(job_of(c) = lunar_energy_engineer)) | greater(age_of(c), age_of(b))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[291, 290])).
% 0.19/0.47  tff(293,plain,
% 0.19/0.47      ((~(job_of(c) = lunar_energy_engineer)) | greater(age_of(c), age_of(b))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[292, 289])).
% 0.19/0.47  tff(294,plain,
% 0.19/0.47      (~(job_of(c) = lunar_energy_engineer)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[293, 241])).
% 0.19/0.47  tff(295,plain,
% 0.19/0.47      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(c) = space_planner) | (job_of(c) = synthetic_food_nutitionist) | (job_of(c) = airfoil_technician) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = communications_consultant))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(c) = space_planner) | (job_of(c) = synthetic_food_nutitionist) | (job_of(c) = airfoil_technician) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = communications_consultant))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(296,plain,
% 0.19/0.47      (((job_of(c) = synthetic_food_nutitionist) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = space_planner) | (job_of(c) = communications_consultant) | (job_of(c) = airfoil_technician)) <=> ((job_of(c) = space_planner) | (job_of(c) = synthetic_food_nutitionist) | (job_of(c) = airfoil_technician) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = communications_consultant))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(297,plain,
% 0.19/0.47      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(c) = synthetic_food_nutitionist) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = space_planner) | (job_of(c) = communications_consultant) | (job_of(c) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(c) = space_planner) | (job_of(c) = synthetic_food_nutitionist) | (job_of(c) = airfoil_technician) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = communications_consultant)))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[296])).
% 0.19/0.47  tff(298,plain,
% 0.19/0.47      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(c) = synthetic_food_nutitionist) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = space_planner) | (job_of(c) = communications_consultant) | (job_of(c) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(c) = space_planner) | (job_of(c) = synthetic_food_nutitionist) | (job_of(c) = airfoil_technician) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = communications_consultant))),
% 0.19/0.47      inference(transitivity,[status(thm)],[297, 295])).
% 0.19/0.47  tff(299,plain,
% 0.19/0.47      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(c) = synthetic_food_nutitionist) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = space_planner) | (job_of(c) = communications_consultant) | (job_of(c) = airfoil_technician))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(300,plain,
% 0.19/0.47      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(c) = space_planner) | (job_of(c) = synthetic_food_nutitionist) | (job_of(c) = airfoil_technician) | (job_of(c) = lunar_energy_engineer) | (job_of(c) = communications_consultant)),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[299, 298])).
% 0.19/0.47  tff(301,plain,
% 0.19/0.47      ((job_of(c) = space_planner) | (job_of(c) = synthetic_food_nutitionist) | (job_of(c) = airfoil_technician) | (job_of(c) = communications_consultant)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[300, 206, 294])).
% 0.19/0.47  tff(302,plain,
% 0.19/0.47      ((job_of(c) = space_planner) | (job_of(c) = synthetic_food_nutitionist) | (job_of(c) = airfoil_technician)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[301, 279])).
% 0.19/0.47  tff(303,plain,
% 0.19/0.47      (job_of(c) = synthetic_food_nutitionist),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[302, 259, 250])).
% 0.19/0.47  tff(304,plain,
% 0.19/0.47      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(X!0), age_of(c))) | (~greater(age_of(c), age_of(X!0))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(X!0), age_of(c))) | (~greater(age_of(c), age_of(X!0))))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(305,plain,
% 0.19/0.47      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(X!0), age_of(c))) | (~greater(age_of(c), age_of(X!0))))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(306,plain,
% 0.19/0.47      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(X!0), age_of(c))) | (~greater(age_of(c), age_of(X!0)))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[305, 304])).
% 0.19/0.47  tff(307,plain,
% 0.19/0.47      (~greater(age_of(X!0), age_of(c))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[306, 86, 44])).
% 0.19/0.47  tff(308,plain,
% 0.19/0.47      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(c) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(c)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(c)))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(309,plain,
% 0.19/0.47      ((greater(age_of(X!0), age_of(c)) | (~(job_of(X!0) = space_planner)) | (~(job_of(c) = synthetic_food_nutitionist))) <=> ((~(job_of(c) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(c)))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(310,plain,
% 0.19/0.47      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(X!0), age_of(c)) | (~(job_of(X!0) = space_planner)) | (~(job_of(c) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(c) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(c))))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[309])).
% 0.19/0.47  tff(311,plain,
% 0.19/0.47      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(X!0), age_of(c)) | (~(job_of(X!0) = space_planner)) | (~(job_of(c) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(c)))),
% 0.19/0.47      inference(transitivity,[status(thm)],[310, 308])).
% 0.19/0.47  tff(312,plain,
% 0.19/0.47      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(X!0), age_of(c)) | (~(job_of(X!0) = space_planner)) | (~(job_of(c) = synthetic_food_nutitionist)))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(313,plain,
% 0.19/0.47      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(c))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[312, 311])).
% 0.19/0.47  tff(314,plain,
% 0.19/0.47      ((~(job_of(c) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(c))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[313, 165])).
% 0.19/0.47  tff(315,plain,
% 0.19/0.47      ((~(job_of(c) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[314, 307])).
% 0.19/0.47  tff(316,plain,
% 0.19/0.47      (~(job_of(X!0) = space_planner)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[315, 303])).
% 0.19/0.47  tff(317,assumption,(![Y: knowheyan] : (~greater(age_of(Y), age_of(X!0)))), introduced(assumption)).
% 0.19/0.47  tff(318,plain,
% 0.19/0.47      (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(X!0)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(a), age_of(X!0)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(X!0))))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(319,plain,
% 0.19/0.47      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(X!0)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(X!0))))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(320,plain,
% 0.19/0.47      ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(a), age_of(X!0)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(X!0)))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[319, 318])).
% 0.19/0.47  tff(321,plain,
% 0.19/0.47      (greater(age_of(a), age_of(X!0))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[320, 72, 264, 221])).
% 0.19/0.47  tff(322,plain,
% 0.19/0.47      ((~![Y: knowheyan] : (~greater(age_of(Y), age_of(X!0)))) | (~greater(age_of(a), age_of(X!0)))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(323,plain,
% 0.19/0.47      ($false),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[322, 321, 317])).
% 0.19/0.47  tff(324,plain,(~![Y: knowheyan] : (~greater(age_of(Y), age_of(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47  tff(325,plain,
% 0.19/0.47      (((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | ((~(job_of(X!0) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X!0))))) <=> ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | (~(job_of(X!0) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X!0))))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(326,plain,
% 0.19/0.47      ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | ((~(job_of(X!0) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X!0))))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(327,plain,
% 0.19/0.47      ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | (~(job_of(X!0) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X!0)))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[326, 325])).
% 0.19/0.47  tff(328,plain,
% 0.19/0.47      ((~(job_of(X!0) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X!0)))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[327, 194])).
% 0.19/0.47  tff(329,plain,
% 0.19/0.47      (~(job_of(X!0) = communications_consultant)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[328, 324])).
% 0.19/0.47  tff(330,plain,
% 0.19/0.47      (((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | ((~(job_of(X!0) = lunar_energy_engineer)) | greater(age_of(X!0), age_of(b)))) <=> ((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | (~(job_of(X!0) = lunar_energy_engineer)) | greater(age_of(X!0), age_of(b)))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(331,plain,
% 0.19/0.47      ((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | ((~(job_of(X!0) = lunar_energy_engineer)) | greater(age_of(X!0), age_of(b)))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(332,plain,
% 0.19/0.47      ((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | (~(job_of(X!0) = lunar_energy_engineer)) | greater(age_of(X!0), age_of(b))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[331, 330])).
% 0.19/0.47  tff(333,plain,
% 0.19/0.47      ((~(job_of(X!0) = lunar_energy_engineer)) | greater(age_of(X!0), age_of(b))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[332, 289])).
% 0.19/0.47  tff(334,plain,
% 0.19/0.47      (~(job_of(X!0) = lunar_energy_engineer)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[333, 225])).
% 0.19/0.47  tff(335,plain,
% 0.19/0.47      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = space_planner) | (job_of(X!0) = airfoil_technician) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = communications_consultant))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = space_planner) | (job_of(X!0) = airfoil_technician) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = communications_consultant))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(336,plain,
% 0.19/0.47      (((job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = space_planner) | (job_of(X!0) = communications_consultant) | (job_of(X!0) = airfoil_technician)) <=> ((job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = space_planner) | (job_of(X!0) = airfoil_technician) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = communications_consultant))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(337,plain,
% 0.19/0.47      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = space_planner) | (job_of(X!0) = communications_consultant) | (job_of(X!0) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = space_planner) | (job_of(X!0) = airfoil_technician) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = communications_consultant)))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[336])).
% 0.19/0.47  tff(338,plain,
% 0.19/0.47      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = space_planner) | (job_of(X!0) = communications_consultant) | (job_of(X!0) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = space_planner) | (job_of(X!0) = airfoil_technician) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = communications_consultant))),
% 0.19/0.47      inference(transitivity,[status(thm)],[337, 335])).
% 0.19/0.47  tff(339,plain,
% 0.19/0.47      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = space_planner) | (job_of(X!0) = communications_consultant) | (job_of(X!0) = airfoil_technician))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(340,plain,
% 0.19/0.47      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = space_planner) | (job_of(X!0) = airfoil_technician) | (job_of(X!0) = lunar_energy_engineer) | (job_of(X!0) = communications_consultant)),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[339, 338])).
% 0.19/0.47  tff(341,plain,
% 0.19/0.47      ((job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = space_planner) | (job_of(X!0) = airfoil_technician) | (job_of(X!0) = communications_consultant)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[340, 206, 334])).
% 0.19/0.47  tff(342,plain,
% 0.19/0.47      ((job_of(X!0) = synthetic_food_nutitionist) | (job_of(X!0) = space_planner) | (job_of(X!0) = airfoil_technician)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[341, 329])).
% 0.19/0.47  tff(343,plain,
% 0.19/0.47      (job_of(X!0) = synthetic_food_nutitionist),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[342, 316, 234])).
% 0.19/0.47  tff(344,plain,
% 0.19/0.47      (synthetic_food_nutitionist = job_of(X!0)),
% 0.19/0.47      inference(symmetry,[status(thm)],[343])).
% 0.19/0.47  tff(345,plain,
% 0.19/0.47      (job_of(c) = job_of(X!0)),
% 0.19/0.47      inference(transitivity,[status(thm)],[303, 344])).
% 0.19/0.47  tff(346,plain,
% 0.19/0.47      (inj_2(job_of(c)) = inj_2(job_of(X!0))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[345])).
% 0.19/0.47  tff(347,plain,
% 0.19/0.47      (inj_2(job_of(X!0)) = inj_2(job_of(c))),
% 0.19/0.47      inference(symmetry,[status(thm)],[346])).
% 0.19/0.47  tff(348,plain,
% 0.19/0.47      (X!0 = c),
% 0.19/0.47      inference(transitivity,[status(thm)],[24, 347, 16])).
% 0.19/0.47  tff(349,plain,
% 0.19/0.47      ($false),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[51, 348])).
% 0.19/0.47  tff(350,plain,(~(job_of(b) = space_planner)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47  tff(351,plain,
% 0.19/0.47      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(b) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(b)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(b) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(b)))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(352,plain,
% 0.19/0.47      ((greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist))) <=> ((~(job_of(b) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(b)))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(353,plain,
% 0.19/0.47      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(b) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(b))))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[352])).
% 0.19/0.47  tff(354,plain,
% 0.19/0.47      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(b) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(b)))),
% 0.19/0.47      inference(transitivity,[status(thm)],[353, 351])).
% 0.19/0.47  tff(355,plain,
% 0.19/0.47      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(X!0), age_of(b)) | (~(job_of(X!0) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(356,plain,
% 0.19/0.47      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(b) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(b))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[355, 354])).
% 0.19/0.47  tff(357,plain,
% 0.19/0.47      ((~(job_of(b) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner)) | greater(age_of(X!0), age_of(b))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[356, 165])).
% 0.19/0.47  tff(358,plain,
% 0.19/0.47      ((~(job_of(b) = synthetic_food_nutitionist)) | (~(job_of(X!0) = space_planner))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[357, 225])).
% 0.19/0.47  tff(359,plain,
% 0.19/0.47      (~(job_of(b) = synthetic_food_nutitionist)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[358, 141])).
% 0.19/0.47  tff(360,assumption,(![Y: knowheyan] : (~greater(age_of(Y), age_of(b)))), introduced(assumption)).
% 0.19/0.47  tff(361,plain,
% 0.19/0.47      ((~![Y: knowheyan] : (~greater(age_of(Y), age_of(b)))) | (~greater(age_of(a), age_of(b)))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(362,plain,
% 0.19/0.47      ($false),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[361, 264, 360])).
% 0.19/0.47  tff(363,plain,(~![Y: knowheyan] : (~greater(age_of(Y), age_of(b)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47  tff(364,plain,
% 0.19/0.47      (((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | ((~(job_of(b) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(b))))) <=> ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | (~(job_of(b) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(b))))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(365,plain,
% 0.19/0.47      ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | ((~(job_of(b) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(b))))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(366,plain,
% 0.19/0.47      ((~![X: knowheyan] : ((~(job_of(X) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(X))))) | (~(job_of(b) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(b)))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[365, 364])).
% 0.19/0.47  tff(367,plain,
% 0.19/0.47      ((~(job_of(b) = communications_consultant)) | ![Y: knowheyan] : (~greater(age_of(Y), age_of(b)))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[366, 194])).
% 0.19/0.47  tff(368,plain,
% 0.19/0.47      (~(job_of(b) = communications_consultant)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[367, 363])).
% 0.19/0.47  tff(369,plain,
% 0.19/0.47      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(b) = airfoil_technician) | (job_of(b) = synthetic_food_nutitionist) | (job_of(b) = space_planner) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = communications_consultant))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(b) = airfoil_technician) | (job_of(b) = synthetic_food_nutitionist) | (job_of(b) = space_planner) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = communications_consultant))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(370,plain,
% 0.19/0.48      (((job_of(b) = synthetic_food_nutitionist) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = space_planner) | (job_of(b) = communications_consultant) | (job_of(b) = airfoil_technician)) <=> ((job_of(b) = airfoil_technician) | (job_of(b) = synthetic_food_nutitionist) | (job_of(b) = space_planner) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = communications_consultant))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(371,plain,
% 0.19/0.48      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(b) = synthetic_food_nutitionist) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = space_planner) | (job_of(b) = communications_consultant) | (job_of(b) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(b) = airfoil_technician) | (job_of(b) = synthetic_food_nutitionist) | (job_of(b) = space_planner) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = communications_consultant)))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[370])).
% 0.19/0.48  tff(372,plain,
% 0.19/0.48      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(b) = synthetic_food_nutitionist) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = space_planner) | (job_of(b) = communications_consultant) | (job_of(b) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(b) = airfoil_technician) | (job_of(b) = synthetic_food_nutitionist) | (job_of(b) = space_planner) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = communications_consultant))),
% 0.19/0.48      inference(transitivity,[status(thm)],[371, 369])).
% 0.19/0.48  tff(373,plain,
% 0.19/0.48      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(b) = synthetic_food_nutitionist) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = space_planner) | (job_of(b) = communications_consultant) | (job_of(b) = airfoil_technician))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(374,plain,
% 0.19/0.48      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(b) = airfoil_technician) | (job_of(b) = synthetic_food_nutitionist) | (job_of(b) = space_planner) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = communications_consultant)),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[373, 372])).
% 0.19/0.48  tff(375,plain,
% 0.19/0.48      ((job_of(b) = airfoil_technician) | (job_of(b) = synthetic_food_nutitionist) | (job_of(b) = space_planner) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = communications_consultant)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[374, 206])).
% 0.19/0.48  tff(376,plain,
% 0.19/0.48      ((job_of(b) = airfoil_technician) | (job_of(b) = synthetic_food_nutitionist) | (job_of(b) = space_planner) | (job_of(b) = lunar_energy_engineer)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[375, 368])).
% 0.19/0.48  tff(377,plain,
% 0.19/0.48      (job_of(b) = lunar_energy_engineer),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[376, 359, 350, 216])).
% 0.19/0.48  tff(378,assumption,(job_of(d) = lunar_energy_engineer), introduced(assumption)).
% 0.19/0.48  tff(379,plain,
% 0.19/0.48      (lunar_energy_engineer = job_of(d)),
% 0.19/0.48      inference(symmetry,[status(thm)],[378])).
% 0.19/0.48  tff(380,assumption,(job_of(b) = lunar_energy_engineer), introduced(assumption)).
% 0.19/0.48  tff(381,plain,
% 0.19/0.48      (job_of(b) = job_of(d)),
% 0.19/0.48      inference(transitivity,[status(thm)],[380, 379])).
% 0.19/0.48  tff(382,plain,
% 0.19/0.48      (inj_2(job_of(b)) = inj_2(job_of(d))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[381])).
% 0.19/0.48  tff(383,plain,
% 0.19/0.48      (b = d),
% 0.19/0.48      inference(transitivity,[status(thm)],[131, 382, 114])).
% 0.19/0.48  tff(384,plain,
% 0.19/0.48      ((~(b = d)) <=> (~(b = d))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(385,axiom,(~(b = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','b_not_d')).
% 0.19/0.48  tff(386,plain,
% 0.19/0.48      (~(b = d)),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[385, 384])).
% 0.19/0.48  tff(387,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[386, 383])).
% 0.19/0.48  tff(388,plain,((~(job_of(b) = lunar_energy_engineer)) | (~(job_of(d) = lunar_energy_engineer))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(389,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[388, 377, 215])).
% 0.19/0.48  tff(390,plain,((~(job_of(X!0) = space_planner)) | (job_of(b) = airfoil_technician) | (job_of(d) = airfoil_technician) | (job_of(d) = space_planner)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(391,plain,
% 0.19/0.48      (~(job_of(X!0) = space_planner)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[390, 138, 127, 112])).
% 0.19/0.48  tff(392,plain,
% 0.19/0.48      (job_of(X!0) = synthetic_food_nutitionist),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[342, 391, 54])).
% 0.19/0.48  tff(393,plain,
% 0.19/0.48      (synthetic_food_nutitionist = job_of(X!0)),
% 0.19/0.48      inference(symmetry,[status(thm)],[392])).
% 0.19/0.48  tff(394,assumption,(job_of(X!0) = synthetic_food_nutitionist), introduced(assumption)).
% 0.19/0.48  tff(395,plain,
% 0.19/0.48      (synthetic_food_nutitionist = job_of(X!0)),
% 0.19/0.48      inference(symmetry,[status(thm)],[394])).
% 0.19/0.48  tff(396,assumption,(job_of(d) = synthetic_food_nutitionist), introduced(assumption)).
% 0.19/0.48  tff(397,plain,
% 0.19/0.48      (job_of(d) = job_of(X!0)),
% 0.19/0.48      inference(transitivity,[status(thm)],[396, 395])).
% 0.19/0.48  tff(398,plain,
% 0.19/0.48      (inj_2(job_of(d)) = inj_2(job_of(X!0))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[397])).
% 0.19/0.48  tff(399,plain,
% 0.19/0.48      (inj_2(job_of(X!0)) = inj_2(job_of(d))),
% 0.19/0.48      inference(symmetry,[status(thm)],[398])).
% 0.19/0.48  tff(400,plain,
% 0.19/0.48      (X!0 = d),
% 0.19/0.48      inference(transitivity,[status(thm)],[24, 399, 114])).
% 0.19/0.48  tff(401,assumption,(X!0 = d), introduced(assumption)).
% 0.19/0.48  tff(402,plain,
% 0.19/0.48      (age_of(X!0) = age_of(d)),
% 0.19/0.48      inference(monotonicity,[status(thm)],[401])).
% 0.19/0.48  tff(403,plain,
% 0.19/0.48      (age_of(d) = age_of(X!0)),
% 0.19/0.48      inference(symmetry,[status(thm)],[402])).
% 0.19/0.48  tff(404,plain,
% 0.19/0.48      ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(d) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0)))))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(405,plain,
% 0.19/0.48      (~((age_of(d) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0))))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[404, 38])).
% 0.19/0.48  tff(406,plain,
% 0.19/0.48      ((greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0))) | (~greater(age_of(d), age_of(X!0)))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(407,plain,
% 0.19/0.48      (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[406, 148])).
% 0.19/0.48  tff(408,plain,
% 0.19/0.48      (((age_of(d) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0)))) | (~(age_of(d) = age_of(X!0))) | (~(greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0))))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(409,plain,
% 0.19/0.48      (((age_of(d) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0)))) | (~(age_of(d) = age_of(X!0)))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[408, 407])).
% 0.19/0.48  tff(410,plain,
% 0.19/0.48      (~(age_of(d) = age_of(X!0))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[409, 405])).
% 0.19/0.48  tff(411,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[410, 403])).
% 0.19/0.48  tff(412,plain,(~(X!0 = d)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(413,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[412, 400])).
% 0.19/0.48  tff(414,plain,((~(job_of(d) = synthetic_food_nutitionist)) | (~(job_of(X!0) = synthetic_food_nutitionist))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(415,plain,
% 0.19/0.48      (~(job_of(d) = synthetic_food_nutitionist)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[414, 392])).
% 0.19/0.48  tff(416,plain,
% 0.19/0.48      (job_of(d) = lunar_energy_engineer),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[214, 415, 127, 112])).
% 0.19/0.48  tff(417,plain,
% 0.19/0.48      (~(job_of(b) = lunar_energy_engineer)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[388, 416])).
% 0.19/0.48  tff(418,plain,
% 0.19/0.48      (job_of(b) = synthetic_food_nutitionist),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[376, 417, 350, 138])).
% 0.19/0.48  tff(419,plain,
% 0.19/0.48      (job_of(b) = job_of(X!0)),
% 0.19/0.48      inference(transitivity,[status(thm)],[418, 393])).
% 0.19/0.48  tff(420,plain,
% 0.19/0.48      (inj_2(job_of(b)) = inj_2(job_of(X!0))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[419])).
% 0.19/0.48  tff(421,plain,
% 0.19/0.48      (inj_2(job_of(X!0)) = inj_2(job_of(b))),
% 0.19/0.48      inference(symmetry,[status(thm)],[420])).
% 0.19/0.48  tff(422,plain,
% 0.19/0.48      (X!0 = b),
% 0.19/0.48      inference(transitivity,[status(thm)],[24, 421, 13])).
% 0.19/0.48  tff(423,assumption,(X!0 = b), introduced(assumption)).
% 0.19/0.48  tff(424,plain,
% 0.19/0.48      (age_of(X!0) = age_of(b)),
% 0.19/0.48      inference(monotonicity,[status(thm)],[423])).
% 0.19/0.48  tff(425,plain,
% 0.19/0.48      (age_of(b) = age_of(X!0)),
% 0.19/0.48      inference(symmetry,[status(thm)],[424])).
% 0.19/0.48  tff(426,plain,
% 0.19/0.48      ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(b) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0)))))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(427,plain,
% 0.19/0.48      (~((age_of(b) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0))))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[426, 38])).
% 0.19/0.48  tff(428,plain,
% 0.19/0.48      ((greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0))) | (~greater(age_of(b), age_of(X!0)))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(429,plain,
% 0.19/0.48      (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[428, 221])).
% 0.19/0.48  tff(430,plain,
% 0.19/0.48      (((age_of(b) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0)))) | (~(age_of(b) = age_of(X!0))) | (~(greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0))))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(431,plain,
% 0.19/0.48      (((age_of(b) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0)))) | (~(age_of(b) = age_of(X!0)))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[430, 429])).
% 0.19/0.48  tff(432,plain,
% 0.19/0.48      (~(age_of(b) = age_of(X!0))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[431, 427])).
% 0.19/0.48  tff(433,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[432, 425])).
% 0.19/0.48  tff(434,plain,(~(X!0 = b)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(435,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[434, 422])).
% 0.19/0.48  tff(436,plain,(~(job_of(c) = airfoil_technician)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(437,assumption,(job_of(b) = synthetic_food_nutitionist), introduced(assumption)).
% 0.19/0.48  tff(438,plain,
% 0.19/0.48      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(b)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(b)))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(439,plain,
% 0.19/0.48      ((greater(age_of(c), age_of(b)) | (~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist))) <=> ((~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(b)))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(440,plain,
% 0.19/0.48      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(c), age_of(b)) | (~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(b))))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[439])).
% 0.19/0.48  tff(441,plain,
% 0.19/0.48      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(c), age_of(b)) | (~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(b)))),
% 0.19/0.48      inference(transitivity,[status(thm)],[440, 438])).
% 0.19/0.48  tff(442,plain,
% 0.19/0.48      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(c), age_of(b)) | (~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(443,plain,
% 0.19/0.48      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(b))),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[442, 441])).
% 0.19/0.48  tff(444,plain,
% 0.19/0.48      ((~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(b))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[443, 165])).
% 0.19/0.48  tff(445,plain,
% 0.19/0.48      ((~(job_of(c) = space_planner)) | (~(job_of(b) = synthetic_food_nutitionist))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[444, 241])).
% 0.19/0.48  tff(446,plain,
% 0.19/0.48      (~(job_of(c) = space_planner)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[445, 437])).
% 0.19/0.48  tff(447,assumption,(job_of(c) = synthetic_food_nutitionist), introduced(assumption)).
% 0.19/0.48  tff(448,plain,
% 0.19/0.48      (synthetic_food_nutitionist = job_of(c)),
% 0.19/0.48      inference(symmetry,[status(thm)],[447])).
% 0.19/0.48  tff(449,plain,
% 0.19/0.48      (job_of(b) = job_of(c)),
% 0.19/0.48      inference(transitivity,[status(thm)],[437, 448])).
% 0.19/0.48  tff(450,plain,
% 0.19/0.48      (inj_2(job_of(b)) = inj_2(job_of(c))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[449])).
% 0.19/0.48  tff(451,plain,
% 0.19/0.48      (b = c),
% 0.19/0.48      inference(transitivity,[status(thm)],[131, 450, 16])).
% 0.19/0.48  tff(452,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[135, 451])).
% 0.19/0.48  tff(453,plain,((~(job_of(b) = synthetic_food_nutitionist)) | (~(job_of(c) = synthetic_food_nutitionist))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(454,plain,
% 0.19/0.48      (~(job_of(c) = synthetic_food_nutitionist)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[453, 437])).
% 0.19/0.48  tff(455,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[302, 454, 446, 436])).
% 0.19/0.48  tff(456,plain,(~(job_of(b) = synthetic_food_nutitionist)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(457,assumption,(greater(age_of(b), age_of(b))), introduced(assumption)).
% 0.19/0.48  tff(458,plain,
% 0.19/0.48      (((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~greater(age_of(b), age_of(b)))) <=> ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~greater(age_of(b), age_of(b))))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(459,plain,
% 0.19/0.48      ((~((age_of(b) = age_of(b)) <=> (greater(age_of(b), age_of(b)) | greater(age_of(b), age_of(b))))) <=> (~greater(age_of(b), age_of(b)))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(460,plain,
% 0.19/0.48      (((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(b) = age_of(b)) <=> (greater(age_of(b), age_of(b)) | greater(age_of(b), age_of(b)))))) <=> ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~greater(age_of(b), age_of(b))))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[459])).
% 0.19/0.48  tff(461,plain,
% 0.19/0.48      (((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(b) = age_of(b)) <=> (greater(age_of(b), age_of(b)) | greater(age_of(b), age_of(b)))))) <=> ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~greater(age_of(b), age_of(b))))),
% 0.19/0.48      inference(transitivity,[status(thm)],[460, 458])).
% 0.19/0.48  tff(462,plain,
% 0.19/0.48      ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(b) = age_of(b)) <=> (greater(age_of(b), age_of(b)) | greater(age_of(b), age_of(b)))))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(463,plain,
% 0.19/0.48      ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~greater(age_of(b), age_of(b)))),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[462, 461])).
% 0.19/0.48  tff(464,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[463, 38, 457])).
% 0.19/0.48  tff(465,plain,(~greater(age_of(b), age_of(b))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(466,plain,
% 0.19/0.48      (((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | ((~(job_of(b) = lunar_energy_engineer)) | greater(age_of(b), age_of(b)))) <=> ((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | (~(job_of(b) = lunar_energy_engineer)) | greater(age_of(b), age_of(b)))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(467,plain,
% 0.19/0.48      ((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | ((~(job_of(b) = lunar_energy_engineer)) | greater(age_of(b), age_of(b)))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(468,plain,
% 0.19/0.48      ((~![X: knowheyan] : ((~(job_of(X) = lunar_energy_engineer)) | greater(age_of(X), age_of(b)))) | (~(job_of(b) = lunar_energy_engineer)) | greater(age_of(b), age_of(b))),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[467, 466])).
% 0.19/0.48  tff(469,plain,
% 0.19/0.48      ((~(job_of(b) = lunar_energy_engineer)) | greater(age_of(b), age_of(b))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[468, 289])).
% 0.19/0.48  tff(470,plain,
% 0.19/0.48      (~(job_of(b) = lunar_energy_engineer)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[469, 465])).
% 0.19/0.48  tff(471,plain,
% 0.19/0.48      (job_of(b) = airfoil_technician),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[376, 470, 350, 456])).
% 0.19/0.48  tff(472,plain,
% 0.19/0.48      (airfoil_technician = job_of(b)),
% 0.19/0.48      inference(symmetry,[status(thm)],[471])).
% 0.19/0.48  tff(473,assumption,(~(job_of(b) = synthetic_food_nutitionist)), introduced(assumption)).
% 0.19/0.48  tff(474,assumption,(~(job_of(b) = lunar_energy_engineer)), introduced(assumption)).
% 0.19/0.48  tff(475,assumption,(job_of(d) = space_planner), introduced(assumption)).
% 0.19/0.48  tff(476,plain,
% 0.19/0.48      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(b), age_of(d))) | (~greater(age_of(d), age_of(b))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(b), age_of(d))) | (~greater(age_of(d), age_of(b))))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(477,plain,
% 0.19/0.48      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(b), age_of(d))) | (~greater(age_of(d), age_of(b))))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(478,plain,
% 0.19/0.48      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(b), age_of(d))) | (~greater(age_of(d), age_of(b)))),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[477, 476])).
% 0.19/0.48  tff(479,plain,
% 0.19/0.48      (~greater(age_of(b), age_of(d))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[478, 86, 60])).
% 0.19/0.48  tff(480,plain,
% 0.19/0.48      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)) | greater(age_of(b), age_of(d)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)) | greater(age_of(b), age_of(d)))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(481,plain,
% 0.19/0.48      ((greater(age_of(b), age_of(d)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner))) <=> ((~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)) | greater(age_of(b), age_of(d)))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(482,plain,
% 0.19/0.48      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(b), age_of(d)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)) | greater(age_of(b), age_of(d))))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[481])).
% 0.19/0.48  tff(483,plain,
% 0.19/0.48      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(b), age_of(d)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)) | greater(age_of(b), age_of(d)))),
% 0.19/0.48      inference(transitivity,[status(thm)],[482, 480])).
% 0.19/0.48  tff(484,plain,
% 0.19/0.48      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(b), age_of(d)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(485,plain,
% 0.19/0.48      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)) | greater(age_of(b), age_of(d))),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[484, 483])).
% 0.19/0.48  tff(486,plain,
% 0.19/0.48      ((~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner)) | greater(age_of(b), age_of(d))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[485, 103])).
% 0.19/0.48  tff(487,plain,
% 0.19/0.48      ((~(job_of(b) = airfoil_technician)) | (~(job_of(d) = space_planner))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[486, 479])).
% 0.19/0.48  tff(488,plain,
% 0.19/0.48      (~(job_of(b) = airfoil_technician)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[487, 475])).
% 0.19/0.48  tff(489,plain,
% 0.19/0.48      (job_of(d) = job_of(b)),
% 0.19/0.48      inference(transitivity,[status(thm)],[475, 251])).
% 0.19/0.48  tff(490,plain,
% 0.19/0.48      (inj_2(job_of(d)) = inj_2(job_of(b))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[489])).
% 0.19/0.48  tff(491,plain,
% 0.19/0.48      (inj_2(job_of(b)) = inj_2(job_of(d))),
% 0.19/0.48      inference(symmetry,[status(thm)],[490])).
% 0.19/0.48  tff(492,plain,
% 0.19/0.48      (b = d),
% 0.19/0.48      inference(transitivity,[status(thm)],[131, 491, 114])).
% 0.19/0.48  tff(493,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[386, 492])).
% 0.19/0.48  tff(494,plain,((~(job_of(d) = space_planner)) | (~(job_of(b) = space_planner))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(495,plain,
% 0.19/0.48      (~(job_of(b) = space_planner)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[494, 475])).
% 0.19/0.48  tff(496,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[376, 495, 488, 474, 473])).
% 0.19/0.48  tff(497,plain,((~(job_of(d) = space_planner)) | (job_of(b) = lunar_energy_engineer) | (job_of(b) = synthetic_food_nutitionist)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(498,plain,
% 0.19/0.48      (~(job_of(d) = space_planner)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[497, 470, 456])).
% 0.19/0.48  tff(499,plain,
% 0.19/0.48      (synthetic_food_nutitionist = job_of(d)),
% 0.19/0.48      inference(symmetry,[status(thm)],[396])).
% 0.19/0.48  tff(500,assumption,(~(job_of(c) = airfoil_technician)), introduced(assumption)).
% 0.19/0.48  tff(501,plain,
% 0.19/0.48      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(d)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(d)))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(502,plain,
% 0.19/0.48      ((greater(age_of(c), age_of(d)) | (~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist))) <=> ((~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(d)))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(503,plain,
% 0.19/0.48      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(c), age_of(d)) | (~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(d))))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[502])).
% 0.19/0.48  tff(504,plain,
% 0.19/0.48      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(c), age_of(d)) | (~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(d)))),
% 0.19/0.48      inference(transitivity,[status(thm)],[503, 501])).
% 0.19/0.48  tff(505,plain,
% 0.19/0.48      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(c), age_of(d)) | (~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(506,plain,
% 0.19/0.48      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(d))),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[505, 504])).
% 0.19/0.48  tff(507,plain,
% 0.19/0.48      ((~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(d))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[506, 165])).
% 0.19/0.48  tff(508,plain,
% 0.19/0.48      ((~(job_of(c) = space_planner)) | (~(job_of(d) = synthetic_food_nutitionist))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[507, 90])).
% 0.19/0.48  tff(509,plain,
% 0.19/0.48      (~(job_of(c) = space_planner)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[508, 396])).
% 0.19/0.48  tff(510,plain,
% 0.19/0.48      (job_of(c) = synthetic_food_nutitionist),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[301, 509, 279, 500])).
% 0.19/0.48  tff(511,plain,
% 0.19/0.48      (job_of(c) = job_of(d)),
% 0.19/0.48      inference(transitivity,[status(thm)],[510, 499])).
% 0.19/0.48  tff(512,plain,
% 0.19/0.48      (inj_2(job_of(c)) = inj_2(job_of(d))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[511])).
% 0.19/0.48  tff(513,plain,
% 0.19/0.48      (c = d),
% 0.19/0.48      inference(transitivity,[status(thm)],[120, 512, 114])).
% 0.19/0.48  tff(514,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[124, 513])).
% 0.19/0.48  tff(515,plain,((~(job_of(d) = synthetic_food_nutitionist)) | (job_of(c) = airfoil_technician)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(516,plain,
% 0.19/0.48      (~(job_of(d) = synthetic_food_nutitionist)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[515, 436])).
% 0.19/0.48  tff(517,plain,
% 0.19/0.48      (airfoil_technician = job_of(d)),
% 0.19/0.48      inference(symmetry,[status(thm)],[116])).
% 0.19/0.48  tff(518,plain,
% 0.19/0.48      (job_of(b) = job_of(d)),
% 0.19/0.48      inference(transitivity,[status(thm)],[128, 517])).
% 0.19/0.48  tff(519,plain,
% 0.19/0.48      (inj_2(job_of(b)) = inj_2(job_of(d))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[518])).
% 0.19/0.48  tff(520,plain,
% 0.19/0.48      (b = d),
% 0.19/0.48      inference(transitivity,[status(thm)],[131, 519, 114])).
% 0.19/0.48  tff(521,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[386, 520])).
% 0.19/0.48  tff(522,plain,((~(job_of(b) = airfoil_technician)) | (~(job_of(d) = airfoil_technician))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(523,plain,
% 0.19/0.48      (~(job_of(d) = airfoil_technician)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[522, 471])).
% 0.19/0.48  tff(524,plain,
% 0.19/0.48      (job_of(d) = lunar_energy_engineer),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[214, 523, 516, 498])).
% 0.19/0.48  tff(525,plain,
% 0.19/0.48      (lunar_energy_engineer = job_of(d)),
% 0.19/0.48      inference(symmetry,[status(thm)],[524])).
% 0.19/0.48  tff(526,assumption,(job_of(a) = lunar_energy_engineer), introduced(assumption)).
% 0.19/0.48  tff(527,plain,
% 0.19/0.48      (job_of(a) = job_of(d)),
% 0.19/0.48      inference(transitivity,[status(thm)],[526, 525])).
% 0.19/0.48  tff(528,plain,
% 0.19/0.48      (inj_2(job_of(a)) = inj_2(job_of(d))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[527])).
% 0.19/0.48  tff(529,plain,
% 0.19/0.48      ((~![Xk!0: knowheyan] : (inj_2(job_of(Xk!0)) = Xk!0)) | (inj_2(job_of(a)) = a)),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(530,plain,
% 0.19/0.48      (inj_2(job_of(a)) = a),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[529, 11])).
% 0.19/0.48  tff(531,plain,
% 0.19/0.48      (a = inj_2(job_of(a))),
% 0.19/0.48      inference(symmetry,[status(thm)],[530])).
% 0.19/0.48  tff(532,plain,
% 0.19/0.48      (a = d),
% 0.19/0.48      inference(transitivity,[status(thm)],[531, 528, 114])).
% 0.19/0.48  tff(533,plain,
% 0.19/0.48      ((~(a = d)) <=> (~(a = d))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(534,axiom,(~(a = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_not_d')).
% 0.19/0.48  tff(535,plain,
% 0.19/0.48      (~(a = d)),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[534, 533])).
% 0.19/0.48  tff(536,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[535, 532])).
% 0.19/0.48  tff(537,plain,(~(job_of(a) = lunar_energy_engineer)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(538,plain,
% 0.19/0.48      (space_planner = job_of(X!0)),
% 0.19/0.48      inference(symmetry,[status(thm)],[141])).
% 0.19/0.48  tff(539,plain,
% 0.19/0.48      (~(job_of(c) = synthetic_food_nutitionist)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[315, 141])).
% 0.19/0.48  tff(540,plain,
% 0.19/0.48      (job_of(c) = space_planner),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[302, 539, 436])).
% 0.19/0.48  tff(541,plain,
% 0.19/0.48      (job_of(c) = job_of(X!0)),
% 0.19/0.48      inference(transitivity,[status(thm)],[540, 538])).
% 0.19/0.48  tff(542,plain,
% 0.19/0.48      (inj_2(job_of(c)) = inj_2(job_of(X!0))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[541])).
% 0.19/0.48  tff(543,plain,
% 0.19/0.48      (inj_2(job_of(X!0)) = inj_2(job_of(c))),
% 0.19/0.48      inference(symmetry,[status(thm)],[542])).
% 0.19/0.48  tff(544,plain,
% 0.19/0.48      (X!0 = c),
% 0.19/0.48      inference(transitivity,[status(thm)],[24, 543, 16])).
% 0.19/0.48  tff(545,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[51, 544])).
% 0.19/0.48  tff(546,plain,(~(job_of(X!0) = space_planner)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(547,plain,
% 0.19/0.48      (job_of(b) = job_of(X!0)),
% 0.19/0.48      inference(transitivity,[status(thm)],[471, 18])).
% 0.19/0.48  tff(548,plain,
% 0.19/0.48      (inj_2(job_of(b)) = inj_2(job_of(X!0))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[547])).
% 0.19/0.48  tff(549,plain,
% 0.19/0.48      (inj_2(job_of(X!0)) = inj_2(job_of(b))),
% 0.19/0.48      inference(symmetry,[status(thm)],[548])).
% 0.19/0.48  tff(550,plain,
% 0.19/0.48      (X!0 = b),
% 0.19/0.48      inference(transitivity,[status(thm)],[24, 549, 13])).
% 0.19/0.48  tff(551,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[434, 550])).
% 0.19/0.48  tff(552,plain,(~(job_of(X!0) = airfoil_technician)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(553,plain,
% 0.19/0.48      (job_of(X!0) = synthetic_food_nutitionist),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[342, 552, 546])).
% 0.19/0.48  tff(554,assumption,(X!0 = a), introduced(assumption)).
% 0.19/0.48  tff(555,plain,
% 0.19/0.48      (a = X!0),
% 0.19/0.48      inference(symmetry,[status(thm)],[554])).
% 0.19/0.48  tff(556,plain,
% 0.19/0.48      (age_of(a) = age_of(X!0)),
% 0.19/0.48      inference(monotonicity,[status(thm)],[555])).
% 0.19/0.48  tff(557,plain,
% 0.19/0.48      ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(a) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0)))))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(558,plain,
% 0.19/0.48      (~((age_of(a) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0))))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[557, 38])).
% 0.19/0.48  tff(559,plain,
% 0.19/0.48      ((greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0))) | (~greater(age_of(a), age_of(X!0)))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(560,plain,
% 0.19/0.48      (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[559, 321])).
% 0.19/0.48  tff(561,plain,
% 0.19/0.48      (((age_of(a) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0)))) | (~(age_of(a) = age_of(X!0))) | (~(greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0))))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(562,plain,
% 0.19/0.48      (((age_of(a) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0)))) | (~(age_of(a) = age_of(X!0)))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[561, 560])).
% 0.19/0.48  tff(563,plain,
% 0.19/0.48      (~(age_of(a) = age_of(X!0))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[562, 558])).
% 0.19/0.48  tff(564,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[563, 556])).
% 0.19/0.48  tff(565,plain,(~(X!0 = a)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(566,plain,
% 0.19/0.48      (![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a)) <=> ![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(567,plain,
% 0.19/0.49      (^[X: knowheyan] : trans(monotonicity(trans(monotonicity(rewrite((((X = a) | (X = b)) | (X = c)) <=> ((X = c) | (X = b) | (X = a))), (((((X = a) | (X = b)) | (X = c)) | (X = d)) <=> (((X = c) | (X = b) | (X = a)) | (X = d)))), rewrite((((X = c) | (X = b) | (X = a)) | (X = d)) <=> ((X = d) | (X = c) | (X = b) | (X = a))), (((((X = a) | (X = b)) | (X = c)) | (X = d)) <=> ((X = d) | (X = c) | (X = b) | (X = a)))), ((((((X = a) | (X = b)) | (X = c)) | (X = d)) | (X = e)) <=> (((X = d) | (X = c) | (X = b) | (X = a)) | (X = e)))), rewrite((((X = d) | (X = c) | (X = b) | (X = a)) | (X = e)) <=> ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))), ((((((X = a) | (X = b)) | (X = c)) | (X = d)) | (X = e)) <=> ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))))),
% 0.19/0.49      inference(bind,[status(th)],[])).
% 0.19/0.49  tff(568,plain,
% 0.19/0.49      (![X: knowheyan] : (((((X = a) | (X = b)) | (X = c)) | (X = d)) | (X = e)) <=> ![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.19/0.49      inference(quant_intro,[status(thm)],[567])).
% 0.19/0.49  tff(569,axiom,(![X: knowheyan] : (((((X = a) | (X = b)) | (X = c)) | (X = d)) | (X = e))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','only_knowheyans')).
% 0.19/0.49  tff(570,plain,
% 0.19/0.49      (![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[569, 568])).
% 0.19/0.49  tff(571,plain,
% 0.19/0.49      (![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[570, 566])).
% 0.19/0.49  tff(572,plain,(
% 0.19/0.49      ![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.19/0.49      inference(skolemize,[status(sab)],[571])).
% 0.19/0.49  tff(573,plain,
% 0.19/0.49      (((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = c) | (X!0 = e) | (X!0 = d) | (X!0 = b) | (X!0 = a))) <=> ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | (X!0 = c) | (X!0 = e) | (X!0 = d) | (X!0 = b) | (X!0 = a))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(574,plain,
% 0.19/0.49      (((X!0 = e) | (X!0 = d) | (X!0 = c) | (X!0 = b) | (X!0 = a)) <=> ((X!0 = c) | (X!0 = e) | (X!0 = d) | (X!0 = b) | (X!0 = a))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(575,plain,
% 0.19/0.49      (((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = e) | (X!0 = d) | (X!0 = c) | (X!0 = b) | (X!0 = a))) <=> ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = c) | (X!0 = e) | (X!0 = d) | (X!0 = b) | (X!0 = a)))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[574])).
% 0.19/0.49  tff(576,plain,
% 0.19/0.49      (((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = e) | (X!0 = d) | (X!0 = c) | (X!0 = b) | (X!0 = a))) <=> ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | (X!0 = c) | (X!0 = e) | (X!0 = d) | (X!0 = b) | (X!0 = a))),
% 0.19/0.49      inference(transitivity,[status(thm)],[575, 573])).
% 0.19/0.49  tff(577,plain,
% 0.19/0.49      ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = e) | (X!0 = d) | (X!0 = c) | (X!0 = b) | (X!0 = a))),
% 0.19/0.49      inference(quant_inst,[status(thm)],[])).
% 0.19/0.49  tff(578,plain,
% 0.19/0.49      ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | (X!0 = c) | (X!0 = e) | (X!0 = d) | (X!0 = b) | (X!0 = a)),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[577, 576])).
% 0.19/0.49  tff(579,plain,
% 0.19/0.49      ((X!0 = c) | (X!0 = e) | (X!0 = d) | (X!0 = b) | (X!0 = a)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[578, 572])).
% 0.19/0.49  tff(580,plain,
% 0.19/0.49      ((X!0 = c) | (X!0 = e) | (X!0 = b) | (X!0 = a)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[579, 412])).
% 0.19/0.49  tff(581,plain,
% 0.19/0.49      (X!0 = e),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[580, 565, 51, 434])).
% 0.19/0.49  tff(582,plain,
% 0.19/0.49      (e = X!0),
% 0.19/0.49      inference(symmetry,[status(thm)],[581])).
% 0.19/0.49  tff(583,plain,
% 0.19/0.49      (job_of(e) = job_of(X!0)),
% 0.19/0.49      inference(monotonicity,[status(thm)],[582])).
% 0.19/0.49  tff(584,plain,
% 0.19/0.49      ((job_of(e) = synthetic_food_nutitionist) <=> (job_of(X!0) = synthetic_food_nutitionist)),
% 0.19/0.49      inference(monotonicity,[status(thm)],[583])).
% 0.19/0.49  tff(585,plain,
% 0.19/0.49      ((job_of(X!0) = synthetic_food_nutitionist) <=> (job_of(e) = synthetic_food_nutitionist)),
% 0.19/0.49      inference(symmetry,[status(thm)],[584])).
% 0.19/0.49  tff(586,plain,
% 0.19/0.49      (job_of(e) = synthetic_food_nutitionist),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[394, 585])).
% 0.19/0.49  tff(587,assumption,(~(job_of(e) = synthetic_food_nutitionist)), introduced(assumption)).
% 0.19/0.49  tff(588,plain,
% 0.19/0.49      ($false),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[587, 586])).
% 0.19/0.49  tff(589,plain,((~(job_of(X!0) = synthetic_food_nutitionist)) | (job_of(e) = synthetic_food_nutitionist)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.49  tff(590,plain,
% 0.19/0.49      (job_of(e) = synthetic_food_nutitionist),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[589, 553])).
% 0.19/0.49  tff(591,plain,
% 0.19/0.49      (job_of(c) = job_of(X!0)),
% 0.19/0.49      inference(transitivity,[status(thm)],[447, 395])).
% 0.19/0.49  tff(592,plain,
% 0.19/0.49      (inj_2(job_of(c)) = inj_2(job_of(X!0))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[591])).
% 0.19/0.49  tff(593,plain,
% 0.19/0.49      (inj_2(job_of(X!0)) = inj_2(job_of(c))),
% 0.19/0.49      inference(symmetry,[status(thm)],[592])).
% 0.19/0.49  tff(594,plain,
% 0.19/0.49      (X!0 = c),
% 0.19/0.49      inference(transitivity,[status(thm)],[24, 593, 16])).
% 0.19/0.49  tff(595,plain,
% 0.19/0.49      ($false),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[51, 594])).
% 0.19/0.49  tff(596,plain,((~(job_of(X!0) = synthetic_food_nutitionist)) | (~(job_of(c) = synthetic_food_nutitionist))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.49  tff(597,plain,
% 0.19/0.49      (~(job_of(c) = synthetic_food_nutitionist)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[596, 553])).
% 0.19/0.49  tff(598,plain,
% 0.19/0.49      (job_of(c) = space_planner),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[302, 597, 436])).
% 0.19/0.49  tff(599,plain,
% 0.19/0.49      ((~(~((~(job_of(a) = communications_consultant)) | (~(job_of(d) = lunar_energy_engineer)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(c) = space_planner)) | (~(job_of(e) = synthetic_food_nutitionist))))) <=> ((~(job_of(a) = communications_consultant)) | (~(job_of(d) = lunar_energy_engineer)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(c) = space_planner)) | (~(job_of(e) = synthetic_food_nutitionist)))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(600,plain,
% 0.19/0.49      (((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer) & (job_of(b) = airfoil_technician) & (job_of(c) = space_planner) & (job_of(e) = synthetic_food_nutitionist)) <=> (~((~(job_of(a) = communications_consultant)) | (~(job_of(d) = lunar_energy_engineer)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(c) = space_planner)) | (~(job_of(e) = synthetic_food_nutitionist))))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(601,plain,
% 0.19/0.49      ((~((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer) & (job_of(b) = airfoil_technician) & (job_of(c) = space_planner) & (job_of(e) = synthetic_food_nutitionist))) <=> (~(~((~(job_of(a) = communications_consultant)) | (~(job_of(d) = lunar_energy_engineer)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(c) = space_planner)) | (~(job_of(e) = synthetic_food_nutitionist)))))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[600])).
% 0.19/0.49  tff(602,plain,
% 0.19/0.49      ((~((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer) & (job_of(b) = airfoil_technician) & (job_of(c) = space_planner) & (job_of(e) = synthetic_food_nutitionist))) <=> ((~(job_of(a) = communications_consultant)) | (~(job_of(d) = lunar_energy_engineer)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(c) = space_planner)) | (~(job_of(e) = synthetic_food_nutitionist)))),
% 0.19/0.49      inference(transitivity,[status(thm)],[601, 599])).
% 0.19/0.49  tff(603,plain,
% 0.19/0.49      ((~((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer) & (job_of(b) = airfoil_technician) & (job_of(c) = space_planner) & (job_of(e) = synthetic_food_nutitionist))) <=> (~((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer) & (job_of(b) = airfoil_technician) & (job_of(c) = space_planner) & (job_of(e) = synthetic_food_nutitionist)))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(604,plain,
% 0.19/0.49      ((~(((((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer)) & (job_of(b) = airfoil_technician)) & (job_of(c) = space_planner)) & (job_of(e) = synthetic_food_nutitionist))) <=> (~((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer) & (job_of(b) = airfoil_technician) & (job_of(c) = space_planner) & (job_of(e) = synthetic_food_nutitionist)))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(605,axiom,(~(((((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer)) & (job_of(b) = airfoil_technician)) & (job_of(c) = space_planner)) & (job_of(e) = synthetic_food_nutitionist))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','known_jobs')).
% 0.19/0.49  tff(606,plain,
% 0.19/0.49      (~((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer) & (job_of(b) = airfoil_technician) & (job_of(c) = space_planner) & (job_of(e) = synthetic_food_nutitionist))),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[605, 604])).
% 0.19/0.49  tff(607,plain,
% 0.19/0.49      (~((job_of(a) = communications_consultant) & (job_of(d) = lunar_energy_engineer) & (job_of(b) = airfoil_technician) & (job_of(c) = space_planner) & (job_of(e) = synthetic_food_nutitionist))),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[606, 603])).
% 0.19/0.49  tff(608,plain,
% 0.19/0.49      ((~(job_of(a) = communications_consultant)) | (~(job_of(d) = lunar_energy_engineer)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(c) = space_planner)) | (~(job_of(e) = synthetic_food_nutitionist))),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[607, 602])).
% 0.19/0.49  tff(609,plain,
% 0.19/0.49      (~(job_of(a) = communications_consultant)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[608, 598, 524, 471, 590])).
% 0.19/0.49  tff(610,plain,
% 0.19/0.49      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(a), age_of(c))) | (~greater(age_of(c), age_of(a))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(a), age_of(c))) | (~greater(age_of(c), age_of(a))))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(611,plain,
% 0.19/0.49      (((~greater(age_of(c), age_of(a))) | (~greater(age_of(a), age_of(c)))) <=> ((~greater(age_of(a), age_of(c))) | (~greater(age_of(c), age_of(a))))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(612,plain,
% 0.19/0.49      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(c), age_of(a))) | (~greater(age_of(a), age_of(c))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(a), age_of(c))) | (~greater(age_of(c), age_of(a)))))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[611])).
% 0.19/0.49  tff(613,plain,
% 0.19/0.49      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(c), age_of(a))) | (~greater(age_of(a), age_of(c))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(a), age_of(c))) | (~greater(age_of(c), age_of(a))))),
% 0.19/0.49      inference(transitivity,[status(thm)],[612, 610])).
% 0.19/0.49  tff(614,plain,
% 0.19/0.49      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(c), age_of(a))) | (~greater(age_of(a), age_of(c))))),
% 0.19/0.49      inference(quant_inst,[status(thm)],[])).
% 0.19/0.49  tff(615,plain,
% 0.19/0.49      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(a), age_of(c))) | (~greater(age_of(c), age_of(a)))),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[614, 613])).
% 0.19/0.49  tff(616,plain,
% 0.19/0.49      (~greater(age_of(c), age_of(a))),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[615, 86, 271])).
% 0.19/0.49  tff(617,plain,
% 0.19/0.49      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(a)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(a)))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(618,plain,
% 0.19/0.49      ((greater(age_of(c), age_of(a)) | (~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist))) <=> ((~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(a)))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(619,plain,
% 0.19/0.49      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(c), age_of(a)) | (~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | ((~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(a))))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[618])).
% 0.19/0.49  tff(620,plain,
% 0.19/0.49      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(c), age_of(a)) | (~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(a)))),
% 0.19/0.49      inference(transitivity,[status(thm)],[619, 617])).
% 0.19/0.49  tff(621,plain,
% 0.19/0.49      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (greater(age_of(c), age_of(a)) | (~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)))),
% 0.19/0.49      inference(quant_inst,[status(thm)],[])).
% 0.19/0.49  tff(622,plain,
% 0.19/0.49      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = space_planner)) | (~(job_of(Y) = synthetic_food_nutitionist)))) | (~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(a))),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[621, 620])).
% 0.19/0.49  tff(623,plain,
% 0.19/0.49      ((~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist)) | greater(age_of(c), age_of(a))),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[622, 165])).
% 0.19/0.49  tff(624,plain,
% 0.19/0.49      ((~(job_of(c) = space_planner)) | (~(job_of(a) = synthetic_food_nutitionist))),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[623, 616])).
% 0.19/0.49  tff(625,plain,
% 0.19/0.49      (~(job_of(a) = synthetic_food_nutitionist)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[624, 598])).
% 0.19/0.49  tff(626,plain,
% 0.19/0.49      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(a))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(a))))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(627,plain,
% 0.19/0.49      (((~greater(age_of(b), age_of(a))) | (~greater(age_of(a), age_of(b)))) <=> ((~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(a))))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(628,plain,
% 0.19/0.49      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(b), age_of(a))) | (~greater(age_of(a), age_of(b))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(a)))))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[627])).
% 0.19/0.49  tff(629,plain,
% 0.19/0.49      (((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(b), age_of(a))) | (~greater(age_of(a), age_of(b))))) <=> ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(a))))),
% 0.19/0.49      inference(transitivity,[status(thm)],[628, 626])).
% 0.19/0.49  tff(630,plain,
% 0.19/0.49      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(age_of(b), age_of(a))) | (~greater(age_of(a), age_of(b))))),
% 0.19/0.49      inference(quant_inst,[status(thm)],[])).
% 0.19/0.49  tff(631,plain,
% 0.19/0.49      ((~![X: age, Y: age] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(a)))),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[630, 629])).
% 0.19/0.49  tff(632,plain,
% 0.19/0.49      (~greater(age_of(b), age_of(a))),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[631, 86, 264])).
% 0.19/0.49  tff(633,plain,
% 0.19/0.49      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)) | greater(age_of(b), age_of(a)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)) | greater(age_of(b), age_of(a)))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(634,plain,
% 0.19/0.49      ((greater(age_of(b), age_of(a)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner))) <=> ((~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)) | greater(age_of(b), age_of(a)))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(635,plain,
% 0.19/0.49      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(b), age_of(a)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | ((~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)) | greater(age_of(b), age_of(a))))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[634])).
% 0.19/0.49  tff(636,plain,
% 0.19/0.49      (((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(b), age_of(a)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)))) <=> ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)) | greater(age_of(b), age_of(a)))),
% 0.19/0.49      inference(transitivity,[status(thm)],[635, 633])).
% 0.19/0.49  tff(637,plain,
% 0.19/0.49      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (greater(age_of(b), age_of(a)) | (~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)))),
% 0.19/0.49      inference(quant_inst,[status(thm)],[])).
% 0.19/0.49  tff(638,plain,
% 0.19/0.49      ((~![X: knowheyan, Y: knowheyan] : (greater(age_of(X), age_of(Y)) | (~(job_of(X) = airfoil_technician)) | (~(job_of(Y) = space_planner)))) | (~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)) | greater(age_of(b), age_of(a))),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[637, 636])).
% 0.19/0.49  tff(639,plain,
% 0.19/0.49      ((~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner)) | greater(age_of(b), age_of(a))),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[638, 103])).
% 0.19/0.49  tff(640,plain,
% 0.19/0.49      ((~(job_of(b) = airfoil_technician)) | (~(job_of(a) = space_planner))),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[639, 632])).
% 0.19/0.49  tff(641,plain,
% 0.19/0.49      (~(job_of(a) = space_planner)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[640, 471])).
% 0.19/0.49  tff(642,plain,
% 0.19/0.49      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(a) = communications_consultant) | (job_of(a) = space_planner) | (job_of(a) = synthetic_food_nutitionist) | (job_of(a) = airfoil_technician) | (job_of(a) = lunar_energy_engineer))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(a) = communications_consultant) | (job_of(a) = space_planner) | (job_of(a) = synthetic_food_nutitionist) | (job_of(a) = airfoil_technician) | (job_of(a) = lunar_energy_engineer))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(643,plain,
% 0.19/0.49      (((job_of(a) = synthetic_food_nutitionist) | (job_of(a) = lunar_energy_engineer) | (job_of(a) = space_planner) | (job_of(a) = communications_consultant) | (job_of(a) = airfoil_technician)) <=> ((job_of(a) = communications_consultant) | (job_of(a) = space_planner) | (job_of(a) = synthetic_food_nutitionist) | (job_of(a) = airfoil_technician) | (job_of(a) = lunar_energy_engineer))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(644,plain,
% 0.19/0.49      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(a) = synthetic_food_nutitionist) | (job_of(a) = lunar_energy_engineer) | (job_of(a) = space_planner) | (job_of(a) = communications_consultant) | (job_of(a) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(a) = communications_consultant) | (job_of(a) = space_planner) | (job_of(a) = synthetic_food_nutitionist) | (job_of(a) = airfoil_technician) | (job_of(a) = lunar_energy_engineer)))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[643])).
% 0.19/0.49  tff(645,plain,
% 0.19/0.49      (((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(a) = synthetic_food_nutitionist) | (job_of(a) = lunar_energy_engineer) | (job_of(a) = space_planner) | (job_of(a) = communications_consultant) | (job_of(a) = airfoil_technician))) <=> ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(a) = communications_consultant) | (job_of(a) = space_planner) | (job_of(a) = synthetic_food_nutitionist) | (job_of(a) = airfoil_technician) | (job_of(a) = lunar_energy_engineer))),
% 0.19/0.49      inference(transitivity,[status(thm)],[644, 642])).
% 0.19/0.49  tff(646,plain,
% 0.19/0.49      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | ((job_of(a) = synthetic_food_nutitionist) | (job_of(a) = lunar_energy_engineer) | (job_of(a) = space_planner) | (job_of(a) = communications_consultant) | (job_of(a) = airfoil_technician))),
% 0.19/0.49      inference(quant_inst,[status(thm)],[])).
% 0.19/0.49  tff(647,plain,
% 0.19/0.49      ((~![X: job] : ((X = synthetic_food_nutitionist) | (X = lunar_energy_engineer) | (X = space_planner) | (X = communications_consultant) | (X = airfoil_technician))) | (job_of(a) = communications_consultant) | (job_of(a) = space_planner) | (job_of(a) = synthetic_food_nutitionist) | (job_of(a) = airfoil_technician) | (job_of(a) = lunar_energy_engineer)),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[646, 645])).
% 0.19/0.49  tff(648,plain,
% 0.19/0.49      ((job_of(a) = communications_consultant) | (job_of(a) = space_planner) | (job_of(a) = synthetic_food_nutitionist) | (job_of(a) = airfoil_technician) | (job_of(a) = lunar_energy_engineer)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[647, 206])).
% 0.19/0.49  tff(649,plain,
% 0.19/0.49      ((job_of(a) = airfoil_technician) | (job_of(a) = lunar_energy_engineer)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[648, 641, 625, 609])).
% 0.19/0.49  tff(650,plain,
% 0.19/0.49      (job_of(a) = airfoil_technician),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[649, 537])).
% 0.19/0.49  tff(651,plain,
% 0.19/0.49      (job_of(a) = job_of(b)),
% 0.19/0.49      inference(transitivity,[status(thm)],[650, 472])).
% 0.19/0.49  tff(652,plain,
% 0.19/0.49      (inj_2(job_of(a)) = inj_2(job_of(b))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[651])).
% 0.19/0.49  tff(653,plain,
% 0.19/0.49      (a = b),
% 0.19/0.49      inference(transitivity,[status(thm)],[531, 652, 13])).
% 0.19/0.49  tff(654,plain,
% 0.19/0.49      ((~(a = b)) <=> (~(a = b))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(655,axiom,(~(a = b)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_not_b')).
% 0.19/0.49  tff(656,plain,
% 0.19/0.49      (~(a = b)),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[655, 654])).
% 0.19/0.49  tff(657,plain,
% 0.19/0.49      ($false),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[656, 653])).
% 0.19/0.49  % SZS output end Proof
% 0.19/0.49  % E exiting
%------------------------------------------------------------------------------