%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : AGT016+2 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 04:57:41 AM UTC 2025
% Result : Theorem 55.41s 55.65s
% Output : Proof 55.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : AGT016+2 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 19 10:46:31 EDT 2025
% 0.13/0.35 % CPUTime :
% 55.41/55.65 % SZS status Theorem
% 55.41/55.65 % SZS output start Proof
% 55.41/55.65 tff(accept_population_type, type, (
% 55.41/55.65 accept_population: ( $i * $i * $i ) > $o)).
% 55.41/55.65 tff(n75_type, type, (
% 55.41/55.65 n75: $i)).
% 55.41/55.65 tff(atheist_type, type, (
% 55.41/55.65 atheist: $i)).
% 55.41/55.65 tff(muslimcountrybhumanitarianorganization_type, type, (
% 55.41/55.65 muslimcountrybhumanitarianorganization: $i)).
% 55.41/55.65 tff(n0_type, type, (
% 55.41/55.65 n0: $i)).
% 55.41/55.65 tff(other_type, type, (
% 55.41/55.65 other: $i)).
% 55.41/55.65 tff(native_type, type, (
% 55.41/55.65 native: $i)).
% 55.41/55.65 tff(muslim_type, type, (
% 55.41/55.65 muslim: $i)).
% 55.41/55.65 tff(n25_type, type, (
% 55.41/55.65 n25: $i)).
% 55.41/55.65 tff(christian_type, type, (
% 55.41/55.65 christian: $i)).
% 55.41/55.65 tff(less_type, type, (
% 55.41/55.65 less: ( $i * $i ) > $o)).
% 55.41/55.65 tff(n24_type, type, (
% 55.41/55.65 n24: $i)).
% 55.41/55.65 tff(rdn_positive_less_type, type, (
% 55.41/55.65 rdn_positive_less: ( $i * $i ) > $o)).
% 55.41/55.65 tff(rdn_type, type, (
% 55.41/55.65 rdn: ( $i * $i ) > $i)).
% 55.41/55.65 tff(rdnn_type, type, (
% 55.41/55.65 rdnn: $i > $i)).
% 55.41/55.65 tff(n2_type, type, (
% 55.41/55.65 n2: $i)).
% 55.41/55.65 tff(n5_type, type, (
% 55.41/55.65 n5: $i)).
% 55.41/55.65 tff(n4_type, type, (
% 55.41/55.65 n4: $i)).
% 55.41/55.65 tff(rdn_non_zero_type, type, (
% 55.41/55.65 rdn_non_zero: $i > $o)).
% 55.41/55.65 tff(rdn_non_zero_digit_type, type, (
% 55.41/55.65 rdn_non_zero_digit: $i > $o)).
% 55.41/55.65 tff(rdn_translate_type, type, (
% 55.41/55.65 rdn_translate: ( $i * $i ) > $o)).
% 55.41/55.65 tff(rdn_pos_type, type, (
% 55.41/55.65 rdn_pos: $i > $i)).
% 55.41/55.65 tff(n1_type, type, (
% 55.41/55.65 n1: $i)).
% 55.41/55.65 tff(accept_city_type, type, (
% 55.41/55.65 accept_city: ( $i * $i ) > $o)).
% 55.41/55.65 tff(towna_type, type, (
% 55.41/55.65 towna: $i)).
% 55.41/55.65 tff(1,plain,
% 55.41/55.65 (^[X: $i] : refl((rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))) <=> (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))))),
% 55.41/55.65 inference(bind,[status(th)],[])).
% 55.41/55.65 tff(2,plain,
% 55.41/55.65 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))) <=> ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 55.41/55.65 inference(quant_intro,[status(thm)],[1])).
% 55.41/55.65 tff(3,plain,
% 55.41/55.65 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))) <=> ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(4,plain,
% 55.41/55.65 (^[X: $i] : rewrite((rdn_non_zero_digit(rdnn(X)) => rdn_non_zero(rdnn(X))) <=> (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))))),
% 55.41/55.65 inference(bind,[status(th)],[])).
% 55.41/55.65 tff(5,plain,
% 55.41/55.65 (![X: $i] : (rdn_non_zero_digit(rdnn(X)) => rdn_non_zero(rdnn(X))) <=> ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 55.41/55.65 inference(quant_intro,[status(thm)],[4])).
% 55.41/55.65 tff(6,axiom,(![X: $i] : (rdn_non_zero_digit(rdnn(X)) => rdn_non_zero(rdnn(X)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax','rdn_non_zero_by_digit')).
% 55.41/55.65 tff(7,plain,
% 55.41/55.65 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[6, 5])).
% 55.41/55.65 tff(8,plain,
% 55.41/55.65 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[7, 3])).
% 55.41/55.65 tff(9,plain,(
% 55.41/55.65 ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 55.41/55.65 inference(skolemize,[status(sab)],[8])).
% 55.41/55.65 tff(10,plain,
% 55.41/55.65 (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[9, 2])).
% 55.41/55.65 tff(11,plain,
% 55.41/55.65 (rdn_non_zero_digit(rdnn(n2)) <=> rdn_non_zero_digit(rdnn(n2))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(12,axiom,(rdn_non_zero_digit(rdnn(n2))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax','rdn_digit2')).
% 55.41/55.65 tff(13,plain,
% 55.41/55.65 (rdn_non_zero_digit(rdnn(n2))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[12, 11])).
% 55.41/55.65 tff(14,plain,
% 55.41/55.65 (((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n2)) | (~rdn_non_zero_digit(rdnn(n2))))) <=> ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n2)) | (~rdn_non_zero_digit(rdnn(n2))))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(15,plain,
% 55.41/55.65 ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n2)) | (~rdn_non_zero_digit(rdnn(n2))))),
% 55.41/55.65 inference(quant_inst,[status(thm)],[])).
% 55.41/55.65 tff(16,plain,
% 55.41/55.65 ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n2)) | (~rdn_non_zero_digit(rdnn(n2)))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[15, 14])).
% 55.41/55.65 tff(17,plain,
% 55.41/55.65 (rdn_non_zero(rdnn(n2))),
% 55.41/55.65 inference(unit_resolution,[status(thm)],[16, 13, 10])).
% 55.41/55.65 tff(18,plain,
% 55.41/55.65 (^[Ds: $i, O: $i, Db: $i] : refl((rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))) <=> (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))),
% 55.41/55.65 inference(bind,[status(th)],[])).
% 55.41/55.65 tff(19,plain,
% 55.41/55.65 (![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))) <=> ![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))),
% 55.41/55.65 inference(quant_intro,[status(thm)],[18])).
% 55.41/55.65 tff(20,plain,
% 55.41/55.65 (^[Ds: $i, O: $i, Db: $i] : trans(monotonicity(trans(monotonicity(rewrite((rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O)) <=> (~((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))), ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) <=> (~(~((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))))), rewrite((~(~((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))) <=> ((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))), ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) <=> ((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))), (((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> (((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))))), rewrite((((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))), (((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))))),
% 55.41/55.65 inference(bind,[status(th)],[])).
% 55.41/55.65 tff(21,plain,
% 55.41/55.65 (![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> ![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))),
% 55.41/55.65 inference(quant_intro,[status(thm)],[20])).
% 55.41/55.65 tff(22,plain,
% 55.41/55.65 (![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> ![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(23,plain,
% 55.41/55.65 (^[Ds: $i, O: $i, Db: $i] : rewrite(((rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O)) => rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))))),
% 55.41/55.65 inference(bind,[status(th)],[])).
% 55.41/55.65 tff(24,plain,
% 55.41/55.65 (![Ds: $i, O: $i, Db: $i] : ((rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O)) => rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> ![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 55.41/55.65 inference(quant_intro,[status(thm)],[23])).
% 55.41/55.65 tff(25,axiom,(![Ds: $i, O: $i, Db: $i] : ((rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O)) => rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax','rdn_positive_less_multi_digit_low')).
% 55.41/55.65 tff(26,plain,
% 55.41/55.65 (![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[25, 24])).
% 55.41/55.65 tff(27,plain,
% 55.41/55.65 (![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[26, 22])).
% 55.41/55.65 tff(28,plain,(
% 55.41/55.65 ![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 55.41/55.65 inference(skolemize,[status(sab)],[27])).
% 55.41/55.65 tff(29,plain,
% 55.41/55.65 (![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[28, 21])).
% 55.41/55.65 tff(30,plain,
% 55.41/55.65 (![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[29, 19])).
% 55.41/55.65 tff(31,plain,
% 55.41/55.65 (rdn_positive_less(rdnn(n4), rdnn(n5)) <=> rdn_positive_less(rdnn(n4), rdnn(n5))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(32,axiom,(rdn_positive_less(rdnn(n4), rdnn(n5))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax','rdn_positive_less45')).
% 55.41/55.65 tff(33,plain,
% 55.41/55.65 (rdn_positive_less(rdnn(n4), rdnn(n5))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[32, 31])).
% 55.41/55.65 tff(34,plain,
% 55.41/55.65 (((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | ((~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2))) | rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2))))) <=> ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2))) | rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2))))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(35,plain,
% 55.41/55.65 ((rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2)))) <=> ((~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2))) | rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2))))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(36,plain,
% 55.41/55.65 (((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2))))) <=> ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | ((~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2))) | rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))))),
% 55.41/55.65 inference(monotonicity,[status(thm)],[35])).
% 55.41/55.65 tff(37,plain,
% 55.41/55.65 (((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2))))) <=> ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2))) | rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2))))),
% 55.41/55.65 inference(transitivity,[status(thm)],[36, 34])).
% 55.41/55.65 tff(38,plain,
% 55.41/55.65 ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2))))),
% 55.41/55.65 inference(quant_inst,[status(thm)],[])).
% 55.41/55.65 tff(39,plain,
% 55.41/55.65 ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))) | (~rdn_non_zero(rdnn(n2))) | rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[38, 37])).
% 55.41/55.65 tff(40,plain,
% 55.41/55.65 ((~rdn_non_zero(rdnn(n2))) | rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))),
% 55.41/55.65 inference(unit_resolution,[status(thm)],[39, 33, 30])).
% 55.41/55.65 tff(41,plain,
% 55.41/55.65 (rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))),
% 55.41/55.65 inference(unit_resolution,[status(thm)],[40, 17])).
% 55.41/55.65 tff(42,plain,
% 55.41/55.65 (^[X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : refl((less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) <=> (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))),
% 55.41/55.65 inference(bind,[status(th)],[])).
% 55.41/55.65 tff(43,plain,
% 55.41/55.65 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 55.41/55.65 inference(quant_intro,[status(thm)],[42])).
% 55.41/55.65 tff(44,plain,
% 55.41/55.65 (^[X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y)) <=> (~((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))), ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) <=> (~(~((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))))), rewrite((~(~((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))) <=> ((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))), ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) <=> ((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))), (((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> (((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)))), rewrite((((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))), (((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))))),
% 55.41/55.65 inference(bind,[status(th)],[])).
% 55.41/55.65 tff(45,plain,
% 55.41/55.65 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 55.41/55.65 inference(quant_intro,[status(thm)],[44])).
% 55.41/55.65 tff(46,plain,
% 55.41/55.65 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(47,plain,
% 55.41/55.65 (^[X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : trans(monotonicity(rewrite(((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) <=> (rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))), ((((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)))), rewrite(((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))), ((((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))))),
% 55.41/55.65 inference(bind,[status(th)],[])).
% 55.41/55.65 tff(48,plain,
% 55.41/55.65 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 55.41/55.65 inference(quant_intro,[status(thm)],[47])).
% 55.41/55.65 tff(49,axiom,(![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax','less_entry_point_pos_pos')).
% 55.41/55.65 tff(50,plain,
% 55.41/55.65 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[49, 48])).
% 55.41/55.65 tff(51,plain,
% 55.41/55.65 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[50, 46])).
% 55.41/55.65 tff(52,plain,(
% 55.41/55.65 ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 55.41/55.65 inference(skolemize,[status(sab)],[51])).
% 55.41/55.65 tff(53,plain,
% 55.41/55.65 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[52, 45])).
% 55.41/55.65 tff(54,plain,
% 55.41/55.65 (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[53, 43])).
% 55.41/55.65 tff(55,plain,
% 55.41/55.65 (rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2)))) <=> rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(56,axiom,(rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax','rdn25')).
% 55.41/55.65 tff(57,plain,
% 55.41/55.65 (rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[56, 55])).
% 55.41/55.65 tff(58,plain,
% 55.41/55.65 (rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2)))) <=> rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(59,axiom,(rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax','rdn24')).
% 55.41/55.65 tff(60,plain,
% 55.41/55.65 (rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[59, 58])).
% 55.41/55.65 tff(61,plain,
% 55.41/55.65 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | less(n24, n25))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | less(n24, n25))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(62,plain,
% 55.41/55.65 ((less(n24, n25) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | (~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2))))) <=> ((~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | less(n24, n25))),
% 55.41/55.65 inference(rewrite,[status(thm)],[])).
% 55.41/55.65 tff(63,plain,
% 55.41/55.65 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n24, n25) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | (~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | less(n24, n25)))),
% 55.41/55.65 inference(monotonicity,[status(thm)],[62])).
% 55.41/55.65 tff(64,plain,
% 55.41/55.65 (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n24, n25) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | (~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | less(n24, n25))),
% 55.41/55.65 inference(transitivity,[status(thm)],[63, 61])).
% 55.41/55.65 tff(65,plain,
% 55.41/55.65 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n24, n25) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | (~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))))),
% 55.41/55.65 inference(quant_inst,[status(thm)],[])).
% 55.41/55.65 tff(66,plain,
% 55.41/55.65 ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdn(rdnn(n4), rdnn(n2)), rdn(rdnn(n5), rdnn(n2)))) | (~rdn_translate(n24, rdn_pos(rdn(rdnn(n4), rdnn(n2))))) | (~rdn_translate(n25, rdn_pos(rdn(rdnn(n5), rdnn(n2))))) | less(n24, n25)),
% 55.41/55.65 inference(modus_ponens,[status(thm)],[65, 64])).
% 55.41/55.65 tff(67,plain,
% 55.41/55.65 (less(n24, n25)),
% 55.41/55.65 inference(unit_resolution,[status(thm)],[66, 60, 57, 54, 41])).
% 55.41/55.65 tff(68,assumption,(~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))), introduced(assumption)).
% 55.41/55.65 tff(69,plain,
% 55.41/55.65 (((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) | accept_population(muslimcountrybhumanitarianorganization, atheist, n75)),
% 55.41/55.66 inference(tautology,[status(thm)],[])).
% 55.41/55.66 tff(70,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, atheist, n75)),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[69, 68])).
% 55.41/55.66 tff(71,plain,
% 55.41/55.66 (^[A: $i] : refl((~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))))),
% 55.41/55.66 inference(bind,[status(th)],[])).
% 55.41/55.66 tff(72,plain,
% 55.41/55.66 (![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 55.41/55.66 inference(quant_intro,[status(thm)],[71])).
% 55.41/55.66 tff(73,plain,
% 55.41/55.66 (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> (~((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))))), (((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ((~((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0)))) <=> accept_city(A, towna)))), rewrite(((~((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0)))) <=> accept_city(A, towna)) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))), (((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))))), rewrite((~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))), (((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))))),
% 55.41/55.66 inference(bind,[status(th)],[])).
% 55.41/55.66 tff(74,plain,
% 55.41/55.66 (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 55.41/55.66 inference(quant_intro,[status(thm)],[73])).
% 55.41/55.66 tff(75,plain,
% 55.41/55.66 (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(76,plain,
% 55.41/55.66 (^[A: $i] : rewrite((((((accept_population(A, atheist, n75) & accept_population(A, christian, n24)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)))),
% 55.41/55.66 inference(bind,[status(th)],[])).
% 55.41/55.66 tff(77,plain,
% 55.41/55.66 (![A: $i] : (((((accept_population(A, atheist, n75) & accept_population(A, christian, n24)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 55.41/55.66 inference(quant_intro,[status(thm)],[76])).
% 55.41/55.66 tff(78,axiom,(![A: $i] : (((((accept_population(A, atheist, n75) & accept_population(A, christian, n24)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n0)) <=> accept_city(A, towna))), file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax','a2_9')).
% 55.41/55.66 tff(79,plain,
% 55.41/55.66 (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[78, 77])).
% 55.41/55.66 tff(80,plain,
% 55.41/55.66 (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[79, 75])).
% 55.41/55.66 tff(81,plain,(
% 55.41/55.66 ![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 55.41/55.66 inference(skolemize,[status(sab)],[80])).
% 55.41/55.66 tff(82,plain,
% 55.41/55.66 (![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[81, 74])).
% 55.41/55.66 tff(83,plain,
% 55.41/55.66 (![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[82, 72])).
% 55.41/55.66 tff(84,plain,
% 55.41/55.66 ((~![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))) | (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, towna)))),
% 55.41/55.66 inference(quant_inst,[status(thm)],[])).
% 55.41/55.66 tff(85,plain,
% 55.41/55.66 (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, towna))),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[84, 83])).
% 55.41/55.66 tff(86,plain,
% 55.41/55.66 ((~accept_city(muslimcountrybhumanitarianorganization, towna)) <=> (~accept_city(muslimcountrybhumanitarianorganization, towna))),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(87,axiom,(~accept_city(muslimcountrybhumanitarianorganization, towna)), file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax','deduced_366')).
% 55.41/55.66 tff(88,plain,
% 55.41/55.66 (~accept_city(muslimcountrybhumanitarianorganization, towna)),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[87, 86])).
% 55.41/55.66 tff(89,plain,
% 55.41/55.66 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, towna)) | ((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) | accept_city(muslimcountrybhumanitarianorganization, towna)),
% 55.41/55.66 inference(tautology,[status(thm)],[])).
% 55.41/55.66 tff(90,plain,
% 55.41/55.66 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, towna)) | ((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[89, 88])).
% 55.41/55.66 tff(91,plain,
% 55.41/55.66 ((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[90, 85])).
% 55.41/55.66 tff(92,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, muslim, n1) <=> accept_population(muslimcountrybhumanitarianorganization, muslim, n1)),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(93,axiom,(accept_population(muslimcountrybhumanitarianorganization, muslim, n1)), file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax','deduced_204')).
% 55.41/55.66 tff(94,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, muslim, n1)),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[93, 92])).
% 55.41/55.66 tff(95,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, native, n0) <=> accept_population(muslimcountrybhumanitarianorganization, native, n0)),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(96,axiom,(accept_population(muslimcountrybhumanitarianorganization, native, n0)), file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax','deduced_203')).
% 55.41/55.66 tff(97,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, native, n0)),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[96, 95])).
% 55.41/55.66 tff(98,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, other, n0) <=> accept_population(muslimcountrybhumanitarianorganization, other, n0)),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(99,axiom,(accept_population(muslimcountrybhumanitarianorganization, other, n0)), file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax','deduced_93')).
% 55.41/55.66 tff(100,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, other, n0)),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[99, 98])).
% 55.41/55.66 tff(101,plain,
% 55.41/55.66 ((~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))) | (~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))),
% 55.41/55.66 inference(tautology,[status(thm)],[])).
% 55.41/55.66 tff(102,plain,
% 55.41/55.66 ((~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))) | (~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24))),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[101, 100, 97, 94])).
% 55.41/55.66 tff(103,plain,
% 55.41/55.66 ((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24))),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[102, 91])).
% 55.41/55.66 tff(104,plain,
% 55.41/55.66 (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[103, 70])).
% 55.41/55.66 tff(105,plain,
% 55.41/55.66 (((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) | accept_population(muslimcountrybhumanitarianorganization, christian, n25)),
% 55.41/55.66 inference(tautology,[status(thm)],[])).
% 55.41/55.66 tff(106,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, christian, n25)),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[105, 68])).
% 55.41/55.66 tff(107,plain,
% 55.41/55.66 (^[A: $i, N: $i, M: $i, P: $i] : refl((accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N))) <=> (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N))))),
% 55.41/55.66 inference(bind,[status(th)],[])).
% 55.41/55.66 tff(108,plain,
% 55.41/55.66 (![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N))) <=> ![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 55.41/55.66 inference(quant_intro,[status(thm)],[107])).
% 55.41/55.66 tff(109,plain,
% 55.41/55.66 (^[A: $i, N: $i, M: $i, P: $i] : trans(monotonicity(trans(monotonicity(rewrite((accept_population(A, P, N) & less(M, N)) <=> (~((~accept_population(A, P, N)) | (~less(M, N))))), ((~(accept_population(A, P, N) & less(M, N))) <=> (~(~((~accept_population(A, P, N)) | (~less(M, N))))))), rewrite((~(~((~accept_population(A, P, N)) | (~less(M, N))))) <=> ((~accept_population(A, P, N)) | (~less(M, N)))), ((~(accept_population(A, P, N) & less(M, N))) <=> ((~accept_population(A, P, N)) | (~less(M, N))))), (((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> (((~accept_population(A, P, N)) | (~less(M, N))) | accept_population(A, P, M)))), rewrite((((~accept_population(A, P, N)) | (~less(M, N))) | accept_population(A, P, M)) <=> (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))), (((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))))),
% 55.41/55.66 inference(bind,[status(th)],[])).
% 55.41/55.66 tff(110,plain,
% 55.41/55.66 (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> ![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 55.41/55.66 inference(quant_intro,[status(thm)],[109])).
% 55.41/55.66 tff(111,plain,
% 55.41/55.66 (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> ![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(112,plain,
% 55.41/55.66 (^[A: $i, N: $i, M: $i, P: $i] : rewrite(((accept_population(A, P, N) & less(M, N)) => accept_population(A, P, M)) <=> ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)))),
% 55.41/55.66 inference(bind,[status(th)],[])).
% 55.41/55.66 tff(113,plain,
% 55.41/55.66 (![A: $i, N: $i, M: $i, P: $i] : ((accept_population(A, P, N) & less(M, N)) => accept_population(A, P, M)) <=> ![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 55.41/55.66 inference(quant_intro,[status(thm)],[112])).
% 55.41/55.66 tff(114,axiom,(![A: $i, N: $i, M: $i, P: $i] : ((accept_population(A, P, N) & less(M, N)) => accept_population(A, P, M))), file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax','a1_3')).
% 55.41/55.66 tff(115,plain,
% 55.41/55.66 (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[114, 113])).
% 55.41/55.66 tff(116,plain,
% 55.41/55.66 (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[115, 111])).
% 55.41/55.66 tff(117,plain,(
% 55.41/55.66 ![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 55.41/55.66 inference(skolemize,[status(sab)],[116])).
% 55.41/55.66 tff(118,plain,
% 55.41/55.66 (![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[117, 110])).
% 55.41/55.66 tff(119,plain,
% 55.41/55.66 (![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[118, 108])).
% 55.41/55.66 tff(120,plain,
% 55.41/55.66 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~less(n24, n25)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~less(n24, n25)))),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(121,plain,
% 55.41/55.66 ((accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~less(n24, n25))) <=> ((~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~less(n24, n25)))),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(122,plain,
% 55.41/55.66 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~less(n24, n25)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~less(n24, n25))))),
% 55.41/55.66 inference(monotonicity,[status(thm)],[121])).
% 55.41/55.66 tff(123,plain,
% 55.41/55.66 (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~less(n24, n25)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~less(n24, n25)))),
% 55.41/55.66 inference(transitivity,[status(thm)],[122, 120])).
% 55.41/55.66 tff(124,plain,
% 55.41/55.66 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~less(n24, n25)))),
% 55.41/55.66 inference(quant_inst,[status(thm)],[])).
% 55.41/55.66 tff(125,plain,
% 55.41/55.66 ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | accept_population(muslimcountrybhumanitarianorganization, christian, n24) | (~less(n24, n25))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[124, 123])).
% 55.41/55.66 tff(126,plain,
% 55.41/55.66 ($false),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[125, 119, 106, 104, 67])).
% 55.41/55.66 tff(127,plain,((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))), inference(lemma,lemma(discharge,[]))).
% 55.41/55.66 tff(128,assumption,(~accept_population(muslimcountrybhumanitarianorganization, christian, n25)), introduced(assumption)).
% 55.41/55.66 tff(129,plain,
% 55.41/55.66 (^[X: $i, Y: $i] : refl(accept_population(muslimcountrybhumanitarianorganization, X, Y) <=> accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 55.41/55.66 inference(bind,[status(th)],[])).
% 55.41/55.66 tff(130,plain,
% 55.41/55.66 (![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y) <=> ![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)),
% 55.41/55.66 inference(quant_intro,[status(thm)],[129])).
% 55.41/55.66 tff(131,plain,
% 55.41/55.66 ((~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))) <=> (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y)))),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(132,axiom,(~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','query_16')).
% 55.41/55.66 tff(133,plain,
% 55.41/55.66 (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[132, 131])).
% 55.41/55.66 tff(134,plain,
% 55.41/55.66 (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[133, 131])).
% 55.41/55.66 tff(135,plain,
% 55.41/55.66 (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[134, 131])).
% 55.41/55.66 tff(136,plain,
% 55.41/55.66 (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[135, 131])).
% 55.41/55.66 tff(137,plain,
% 55.41/55.66 (^[X: $i, Y: $i] : refl($oeq(accept_population(muslimcountrybhumanitarianorganization, X, Y), accept_population(muslimcountrybhumanitarianorganization, X, Y)))),
% 55.41/55.66 inference(bind,[status(th)],[])).
% 55.41/55.66 tff(138,plain,(
% 55.41/55.66 ![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)),
% 55.41/55.66 inference(nnf-neg,[status(sab)],[136, 137])).
% 55.41/55.66 tff(139,plain,
% 55.41/55.66 (![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[138, 130])).
% 55.41/55.66 tff(140,plain,
% 55.41/55.66 ((~![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)) | accept_population(muslimcountrybhumanitarianorganization, christian, n25)),
% 55.41/55.66 inference(quant_inst,[status(thm)],[])).
% 55.41/55.66 tff(141,plain,
% 55.41/55.66 ($false),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[140, 139, 128])).
% 55.41/55.66 tff(142,plain,(accept_population(muslimcountrybhumanitarianorganization, christian, n25)), inference(lemma,lemma(discharge,[]))).
% 55.41/55.66 tff(143,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, muslim, n0) <=> accept_population(muslimcountrybhumanitarianorganization, muslim, n0)),
% 55.41/55.66 inference(rewrite,[status(thm)],[])).
% 55.41/55.66 tff(144,axiom,(accept_population(muslimcountrybhumanitarianorganization, muslim, n0)), file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax','deduced_95')).
% 55.41/55.66 tff(145,plain,
% 55.41/55.66 (accept_population(muslimcountrybhumanitarianorganization, muslim, n0)),
% 55.41/55.66 inference(modus_ponens,[status(thm)],[144, 143])).
% 55.41/55.66 tff(146,plain,
% 55.41/55.66 ((~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))) | (~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))),
% 55.41/55.66 inference(tautology,[status(thm)],[])).
% 55.41/55.66 tff(147,plain,
% 55.41/55.66 ((~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))) | (~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n25))),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[146, 100, 145, 97])).
% 55.41/55.66 tff(148,plain,
% 55.41/55.66 (~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)),
% 55.41/55.66 inference(unit_resolution,[status(thm)],[147, 142, 127])).
% 55.56/55.73 tff(149,plain,
% 55.56/55.73 ((~![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)) | accept_population(muslimcountrybhumanitarianorganization, atheist, n75)),
% 55.56/55.73 inference(quant_inst,[status(thm)],[])).
% 55.56/55.73 tff(150,plain,
% 55.56/55.73 ($false),
% 55.56/55.73 inference(unit_resolution,[status(thm)],[149, 139, 148])).
% 55.56/55.73 % SZS output end Proof
% 55.56/55.73 % E exiting
%------------------------------------------------------------------------------