%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN722+1 : TPTP v9.0.0. Released v2.5.0.
% 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 05:39:54 AM UTC 2025
% Result : Theorem 0.20s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN722+1 : TPTP v9.0.0. Released v2.5.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 20 12:40:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.37 % SZS status Theorem
% 0.20/0.37 % SZS output start Proof
% 0.20/0.37 tff(r_type, type, (
% 0.20/0.37 r: $i > $o)).
% 0.20/0.37 tff(a_type, type, (
% 0.20/0.37 a: $i)).
% 0.20/0.37 tff(p_type, type, (
% 0.20/0.37 p: $i > $o)).
% 0.20/0.37 tff(q_type, type, (
% 0.20/0.37 q: $i > $o)).
% 0.20/0.37 tff(b_type, type, (
% 0.20/0.37 b: $i)).
% 0.20/0.37 tff(d_type, type, (
% 0.20/0.37 d: $i)).
% 0.20/0.37 tff(c_type, type, (
% 0.20/0.37 c: $i)).
% 0.20/0.37 tff(tptp_fun_Y_0_type, type, (
% 0.20/0.37 tptp_fun_Y_0: $i > $i)).
% 0.20/0.37 tff(1,plain,
% 0.20/0.37 (^[Z: $i] : refl((~((~q(Z)) | (~(p(Z) | r(Z))))) <=> (~((~q(Z)) | (~(p(Z) | r(Z))))))),
% 0.20/0.37 inference(bind,[status(th)],[])).
% 0.20/0.37 tff(2,plain,
% 0.20/0.37 (![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z))))) <=> ![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))),
% 0.20/0.37 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.37 tff(3,plain,
% 0.20/0.37 (^[Z: $i] : rewrite(((p(Z) | r(Z)) & q(Z)) <=> (~((~q(Z)) | (~(p(Z) | r(Z))))))),
% 0.20/0.37 inference(bind,[status(th)],[])).
% 0.20/0.37 tff(4,plain,
% 0.20/0.37 (![Z: $i] : ((p(Z) | r(Z)) & q(Z)) <=> ![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))),
% 0.20/0.37 inference(quant_intro,[status(thm)],[3])).
% 0.20/0.37 tff(5,plain,
% 0.20/0.37 (![Z: $i] : ((p(Z) | r(Z)) & q(Z)) <=> ![Z: $i] : ((p(Z) | r(Z)) & q(Z))),
% 0.20/0.37 inference(rewrite,[status(thm)],[])).
% 0.20/0.37 tff(6,plain,
% 0.20/0.37 ((~(~(![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y))) & ((~p(a)) | (~p(b)))))) <=> (![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y))) & ((~p(a)) | (~p(b))))),
% 0.20/0.37 inference(rewrite,[status(thm)],[])).
% 0.20/0.37 tff(7,plain,
% 0.20/0.37 ((~((![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((((p(X) | (~q(X))) | (~q(Y))) | (~q(c))) | (~q(d)))) & ((~p(a)) | (~p(b))))) <=> (~(![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y))) & ((~p(a)) | (~p(b)))))),
% 0.20/0.37 inference(rewrite,[status(thm)],[])).
% 0.20/0.37 tff(8,plain,
% 0.20/0.37 ((~(~((![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((((p(X) | (~q(X))) | (~q(Y))) | (~q(c))) | (~q(d)))) & ((~p(a)) | (~p(b)))))) <=> (~(~(![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y))) & ((~p(a)) | (~p(b))))))),
% 0.20/0.37 inference(monotonicity,[status(thm)],[7])).
% 0.20/0.37 tff(9,plain,
% 0.20/0.37 ((~(~((![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((((p(X) | (~q(X))) | (~q(Y))) | (~q(c))) | (~q(d)))) & ((~p(a)) | (~p(b)))))) <=> (![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y))) & ((~p(a)) | (~p(b))))),
% 0.20/0.37 inference(transitivity,[status(thm)],[8, 6])).
% 0.20/0.37 tff(10,axiom,(~(~((![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((((p(X) | (~q(X))) | (~q(Y))) | (~q(c))) | (~q(d)))) & ((~p(a)) | (~p(b)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm119')).
% 0.20/0.37 tff(11,plain,
% 0.20/0.37 (![Z: $i] : ((p(Z) | r(Z)) & q(Z)) & ![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y))) & ((~p(a)) | (~p(b)))),
% 0.20/0.37 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.20/0.37 tff(12,plain,
% 0.20/0.37 (![Z: $i] : ((p(Z) | r(Z)) & q(Z))),
% 0.20/0.37 inference(and_elim,[status(thm)],[11])).
% 0.20/0.37 tff(13,plain,
% 0.20/0.37 (![Z: $i] : ((p(Z) | r(Z)) & q(Z))),
% 0.20/0.37 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.20/0.37 tff(14,plain,(
% 0.20/0.37 ![Z: $i] : ((p(Z) | r(Z)) & q(Z))),
% 0.20/0.37 inference(skolemize,[status(sab)],[13])).
% 0.20/0.37 tff(15,plain,
% 0.20/0.37 (![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))),
% 0.20/0.37 inference(modus_ponens,[status(thm)],[14, 4])).
% 0.20/0.37 tff(16,plain,
% 0.20/0.37 (![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))),
% 0.20/0.37 inference(modus_ponens,[status(thm)],[15, 2])).
% 0.20/0.37 tff(17,plain,
% 0.20/0.37 ((~![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))) | (~((~q(a)) | (~(p(a) | r(a)))))),
% 0.20/0.37 inference(quant_inst,[status(thm)],[])).
% 0.20/0.37 tff(18,plain,
% 0.20/0.37 (~((~q(a)) | (~(p(a) | r(a))))),
% 0.20/0.37 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.20/0.37 tff(19,assumption,((~q(tptp_fun_Y_0(a))) | (~(p(tptp_fun_Y_0(a)) | r(tptp_fun_Y_0(a))))), introduced(assumption)).
% 0.20/0.37 tff(20,plain,
% 0.20/0.37 ((~![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))) | (~((~q(tptp_fun_Y_0(a))) | (~(p(tptp_fun_Y_0(a)) | r(tptp_fun_Y_0(a))))))),
% 0.20/0.37 inference(quant_inst,[status(thm)],[])).
% 0.20/0.37 tff(21,plain,
% 0.20/0.37 ($false),
% 0.20/0.37 inference(unit_resolution,[status(thm)],[20, 16, 19])).
% 0.20/0.37 tff(22,plain,(~((~q(tptp_fun_Y_0(a))) | (~(p(tptp_fun_Y_0(a)) | r(tptp_fun_Y_0(a)))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(23,plain,
% 0.20/0.38 (((~q(tptp_fun_Y_0(a))) | (~(p(tptp_fun_Y_0(a)) | r(tptp_fun_Y_0(a))))) | q(tptp_fun_Y_0(a))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(24,plain,
% 0.20/0.38 (q(tptp_fun_Y_0(a))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.20/0.38 tff(25,assumption,((~q(c)) | (~(p(c) | r(c)))), introduced(assumption)).
% 0.20/0.38 tff(26,plain,
% 0.20/0.38 ((~![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))) | (~((~q(c)) | (~(p(c) | r(c)))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(27,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[26, 16, 25])).
% 0.20/0.38 tff(28,plain,(~((~q(c)) | (~(p(c) | r(c))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(29,plain,
% 0.20/0.38 (((~q(c)) | (~(p(c) | r(c)))) | q(c)),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(30,plain,
% 0.20/0.38 (q(c)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.20/0.38 tff(31,assumption,((~q(d)) | (~(p(d) | r(d)))), introduced(assumption)).
% 0.20/0.38 tff(32,plain,
% 0.20/0.38 ((~![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))) | (~((~q(d)) | (~(p(d) | r(d)))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(33,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[32, 16, 31])).
% 0.20/0.38 tff(34,plain,(~((~q(d)) | (~(p(d) | r(d))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(35,plain,
% 0.20/0.38 (((~q(d)) | (~(p(d) | r(d)))) | q(d)),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(36,plain,
% 0.20/0.38 (q(d)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.20/0.38 tff(37,plain,
% 0.20/0.38 ((~![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))) | (~((~q(b)) | (~(p(b) | r(b)))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(38,plain,
% 0.20/0.38 (~((~q(b)) | (~(p(b) | r(b))))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[37, 16])).
% 0.20/0.38 tff(39,assumption,((~q(tptp_fun_Y_0(b))) | (~(p(tptp_fun_Y_0(b)) | r(tptp_fun_Y_0(b))))), introduced(assumption)).
% 0.20/0.38 tff(40,plain,
% 0.20/0.38 ((~![Z: $i] : (~((~q(Z)) | (~(p(Z) | r(Z)))))) | (~((~q(tptp_fun_Y_0(b))) | (~(p(tptp_fun_Y_0(b)) | r(tptp_fun_Y_0(b))))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(41,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[40, 16, 39])).
% 0.20/0.38 tff(42,plain,(~((~q(tptp_fun_Y_0(b))) | (~(p(tptp_fun_Y_0(b)) | r(tptp_fun_Y_0(b)))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(43,plain,
% 0.20/0.38 (((~q(tptp_fun_Y_0(b))) | (~(p(tptp_fun_Y_0(b)) | r(tptp_fun_Y_0(b))))) | q(tptp_fun_Y_0(b))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(44,plain,
% 0.20/0.38 (q(tptp_fun_Y_0(b))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[43, 42])).
% 0.20/0.38 tff(45,assumption,(~p(b)), introduced(assumption)).
% 0.20/0.38 tff(46,plain,
% 0.20/0.38 (^[X: $i] : refl((p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X)))) <=> (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(47,plain,
% 0.20/0.38 (![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X)))) <=> ![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[46])).
% 0.20/0.38 tff(48,plain,
% 0.20/0.38 (^[X: $i] : rewrite(((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(tptp_fun_Y_0(X)))) <=> (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(49,plain,
% 0.20/0.38 (![X: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(tptp_fun_Y_0(X)))) <=> ![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[48])).
% 0.20/0.38 tff(50,plain,
% 0.20/0.38 (![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y))) <=> ![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(51,plain,
% 0.20/0.38 (![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y)))),
% 0.20/0.38 inference(and_elim,[status(thm)],[11])).
% 0.20/0.38 tff(52,plain,
% 0.20/0.38 (![X: $i] : ?[Y: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(Y)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.20/0.38 tff(53,plain,(
% 0.20/0.38 ![X: $i] : ((~q(X)) | p(X) | (~q(c)) | (~q(d)) | (~q(tptp_fun_Y_0(X))))),
% 0.20/0.38 inference(skolemize,[status(sab)],[52])).
% 0.20/0.38 tff(54,plain,
% 0.20/0.38 (![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.20/0.38 tff(55,plain,
% 0.20/0.38 (![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.20/0.38 tff(56,plain,
% 0.20/0.38 (((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | ((~q(c)) | (~q(d)) | p(b) | (~q(b)) | (~q(tptp_fun_Y_0(b))))) <=> ((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | (~q(c)) | (~q(d)) | p(b) | (~q(b)) | (~q(tptp_fun_Y_0(b))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(57,plain,
% 0.20/0.38 ((p(b) | (~q(c)) | (~q(d)) | (~q(b)) | (~q(tptp_fun_Y_0(b)))) <=> ((~q(c)) | (~q(d)) | p(b) | (~q(b)) | (~q(tptp_fun_Y_0(b))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(58,plain,
% 0.20/0.38 (((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | (p(b) | (~q(c)) | (~q(d)) | (~q(b)) | (~q(tptp_fun_Y_0(b))))) <=> ((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | ((~q(c)) | (~q(d)) | p(b) | (~q(b)) | (~q(tptp_fun_Y_0(b)))))),
% 0.20/0.38 inference(monotonicity,[status(thm)],[57])).
% 0.20/0.38 tff(59,plain,
% 0.20/0.38 (((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | (p(b) | (~q(c)) | (~q(d)) | (~q(b)) | (~q(tptp_fun_Y_0(b))))) <=> ((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | (~q(c)) | (~q(d)) | p(b) | (~q(b)) | (~q(tptp_fun_Y_0(b))))),
% 0.20/0.38 inference(transitivity,[status(thm)],[58, 56])).
% 0.20/0.38 tff(60,plain,
% 0.20/0.38 ((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | (p(b) | (~q(c)) | (~q(d)) | (~q(b)) | (~q(tptp_fun_Y_0(b))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(61,plain,
% 0.20/0.38 ((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | (~q(c)) | (~q(d)) | p(b) | (~q(b)) | (~q(tptp_fun_Y_0(b)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.20/0.38 tff(62,plain,
% 0.20/0.38 (~q(b)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[61, 55, 45, 36, 30, 44])).
% 0.20/0.38 tff(63,plain,
% 0.20/0.38 (((~q(b)) | (~(p(b) | r(b)))) | q(b)),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(64,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[63, 62, 38])).
% 0.20/0.38 tff(65,plain,(p(b)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(66,plain,
% 0.20/0.38 (((~p(a)) | (~p(b))) <=> ((~p(a)) | (~p(b)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(67,plain,
% 0.20/0.38 ((~p(a)) | (~p(b))),
% 0.20/0.38 inference(and_elim,[status(thm)],[11])).
% 0.20/0.38 tff(68,plain,
% 0.20/0.38 ((~p(a)) | (~p(b))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.20/0.38 tff(69,plain,
% 0.20/0.38 (~p(a)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[68, 65])).
% 0.20/0.38 tff(70,plain,
% 0.20/0.38 (((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | (p(a) | (~q(c)) | (~q(d)) | (~q(a)) | (~q(tptp_fun_Y_0(a))))) <=> ((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | p(a) | (~q(c)) | (~q(d)) | (~q(a)) | (~q(tptp_fun_Y_0(a))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(71,plain,
% 0.20/0.38 ((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | (p(a) | (~q(c)) | (~q(d)) | (~q(a)) | (~q(tptp_fun_Y_0(a))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(72,plain,
% 0.20/0.38 ((~![X: $i] : (p(X) | (~q(c)) | (~q(d)) | (~q(X)) | (~q(tptp_fun_Y_0(X))))) | p(a) | (~q(c)) | (~q(d)) | (~q(a)) | (~q(tptp_fun_Y_0(a)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.20/0.38 tff(73,plain,
% 0.20/0.38 (~q(a)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[72, 55, 69, 36, 30, 24])).
% 0.20/0.38 tff(74,plain,
% 0.20/0.38 (((~q(a)) | (~(p(a) | r(a)))) | q(a)),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(75,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[74, 73, 18])).
% 0.20/0.38 % SZS output end Proof
% 0.20/0.38 % E exiting
%------------------------------------------------------------------------------