%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS131+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:13:27 AM UTC 2025
% Result : Theorem 0.20s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS131+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 19:11:41 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(rq_type, type, (
% 0.20/0.38 rq: ( $i * $i ) > $o)).
% 0.20/0.38 tff(tptp_fun_Y_0_type, type, (
% 0.20/0.38 tptp_fun_Y_0: $i > $i)).
% 0.20/0.38 tff(tptp_fun_X_5_type, type, (
% 0.20/0.38 tptp_fun_X_5: $i)).
% 0.20/0.38 tff(cowlThing_type, type, (
% 0.20/0.38 cowlThing: $i > $o)).
% 0.20/0.38 tff(cA_type, type, (
% 0.20/0.38 cA: $i > $o)).
% 0.20/0.38 tff(cnotA_type, type, (
% 0.20/0.38 cnotA: $i > $o)).
% 0.20/0.38 tff(xsd_string_type, type, (
% 0.20/0.38 xsd_string: $i > $o)).
% 0.20/0.38 tff(tptp_fun_X_4_type, type, (
% 0.20/0.38 tptp_fun_X_4: $i)).
% 0.20/0.38 tff(xsd_integer_type, type, (
% 0.20/0.38 xsd_integer: $i > $o)).
% 0.20/0.38 tff(tptp_fun_X_3_type, type, (
% 0.20/0.38 tptp_fun_X_3: $i)).
% 0.20/0.38 tff(cowlNothing_type, type, (
% 0.20/0.38 cowlNothing: $i > $o)).
% 0.20/0.38 tff(tptp_fun_Y_2_type, type, (
% 0.20/0.38 tptp_fun_Y_2: $i > $i)).
% 0.20/0.38 tff(cNothing_type, type, (
% 0.20/0.38 cNothing: $i > $o)).
% 0.20/0.38 tff(rp_type, type, (
% 0.20/0.38 rp: ( $i * $i ) > $o)).
% 0.20/0.38 tff(tptp_fun_Y0_1_type, type, (
% 0.20/0.38 tptp_fun_Y0_1: $i > $i)).
% 0.20/0.38 tff(1,plain,
% 0.20/0.38 (^[X: $i] : refl((~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))))) <=> (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(2,plain,
% 0.20/0.38 (![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))))) <=> ![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.38 tff(3,plain,
% 0.20/0.38 (^[X: $i] : rewrite((~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))))) <=> (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(4,plain,
% 0.20/0.38 (![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))))) <=> ![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[3])).
% 0.20/0.38 tff(5,plain,
% 0.20/0.38 (![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))))) <=> ![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))),
% 0.20/0.38 inference(transitivity,[status(thm)],[4, 2])).
% 0.20/0.38 tff(6,plain,
% 0.20/0.38 (^[X: $i] : trans(monotonicity(rewrite(((~cA(X)) | (rq(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) <=> ((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))), rewrite((cA(X) | ![Y: $i] : (~(rq(X, Y) & cowlThing(Y)))) <=> (cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))), ((((~cA(X)) | (rq(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) & (cA(X) | ![Y: $i] : (~(rq(X, Y) & cowlThing(Y))))) <=> (((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X)))))) & (cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))))), rewrite((((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X)))))) & (cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y))))) <=> (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))), ((((~cA(X)) | (rq(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) & (cA(X) | ![Y: $i] : (~(rq(X, Y) & cowlThing(Y))))) <=> (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (![X: $i] : (((~cA(X)) | (rq(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) & (cA(X) | ![Y: $i] : (~(rq(X, Y) & cowlThing(Y))))) <=> ![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[6])).
% 0.20/0.38 tff(8,plain,
% 0.20/0.38 (![X: $i] : (cA(X) <=> ?[Y: $i] : (rq(X, Y) & cowlThing(Y))) <=> ![X: $i] : (cA(X) <=> ?[Y: $i] : (rq(X, Y) & cowlThing(Y)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(9,axiom,(![X: $i] : (cA(X) <=> ?[Y: $i] : (rq(X, Y) & cowlThing(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.20/0.38 tff(10,plain,
% 0.20/0.38 (![X: $i] : (cA(X) <=> ?[Y: $i] : (rq(X, Y) & cowlThing(Y)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.20/0.38 tff(11,plain,(
% 0.20/0.38 ![X: $i] : (((~cA(X)) | (rq(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) & (cA(X) | ![Y: $i] : (~(rq(X, Y) & cowlThing(Y)))))),
% 0.20/0.38 inference(skolemize,[status(sab)],[10])).
% 0.20/0.38 tff(12,plain,
% 0.20/0.38 (![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.20/0.38 tff(13,plain,
% 0.20/0.38 (![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.20/0.38 tff(14,plain,
% 0.20/0.38 (((~![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cA(X!5) | ![Y: $i] : ((~cowlThing(Y)) | (~rq(X!5, Y))))) | (~((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5)))))))))) <=> ((~![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cA(X!5) | ![Y: $i] : ((~cowlThing(Y)) | (~rq(X!5, Y))))) | (~((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5))))))))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(15,plain,
% 0.20/0.38 ((~((~((~cA(X!5)) | (~((~rq(X!5, tptp_fun_Y_0(X!5))) | (~cowlThing(tptp_fun_Y_0(X!5))))))) | (~(cA(X!5) | ![Y: $i] : ((~rq(X!5, Y)) | (~cowlThing(Y))))))) <=> (~((~(cA(X!5) | ![Y: $i] : ((~cowlThing(Y)) | (~rq(X!5, Y))))) | (~((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5)))))))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (((~![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))) | (~((~((~cA(X!5)) | (~((~rq(X!5, tptp_fun_Y_0(X!5))) | (~cowlThing(tptp_fun_Y_0(X!5))))))) | (~(cA(X!5) | ![Y: $i] : ((~rq(X!5, Y)) | (~cowlThing(Y)))))))) <=> ((~![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cA(X!5) | ![Y: $i] : ((~cowlThing(Y)) | (~rq(X!5, Y))))) | (~((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5))))))))))),
% 0.20/0.38 inference(monotonicity,[status(thm)],[15])).
% 0.20/0.38 tff(17,plain,
% 0.20/0.38 (((~![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))) | (~((~((~cA(X!5)) | (~((~rq(X!5, tptp_fun_Y_0(X!5))) | (~cowlThing(tptp_fun_Y_0(X!5))))))) | (~(cA(X!5) | ![Y: $i] : ((~rq(X!5, Y)) | (~cowlThing(Y)))))))) <=> ((~![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cA(X!5) | ![Y: $i] : ((~cowlThing(Y)) | (~rq(X!5, Y))))) | (~((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5))))))))))),
% 0.20/0.38 inference(transitivity,[status(thm)],[16, 14])).
% 0.20/0.38 tff(18,plain,
% 0.20/0.38 ((~![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))) | (~((~((~cA(X!5)) | (~((~rq(X!5, tptp_fun_Y_0(X!5))) | (~cowlThing(tptp_fun_Y_0(X!5))))))) | (~(cA(X!5) | ![Y: $i] : ((~rq(X!5, Y)) | (~cowlThing(Y)))))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(19,plain,
% 0.20/0.38 ((~![X: $i] : (~((~((~cA(X)) | (~((~rq(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cA(X) | ![Y: $i] : ((~rq(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cA(X!5) | ![Y: $i] : ((~cowlThing(Y)) | (~rq(X!5, Y))))) | (~((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5)))))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 (~((~(cA(X!5) | ![Y: $i] : ((~cowlThing(Y)) | (~rq(X!5, Y))))) | (~((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5))))))))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[19, 13])).
% 0.20/0.38 tff(21,plain,
% 0.20/0.38 (((~(cA(X!5) | ![Y: $i] : ((~cowlThing(Y)) | (~rq(X!5, Y))))) | (~((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5)))))))) | ((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5))))))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(22,plain,
% 0.20/0.38 ((~cA(X!5)) | (~((~cowlThing(tptp_fun_Y_0(X!5))) | (~rq(X!5, tptp_fun_Y_0(X!5)))))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.20/0.38 tff(23,assumption,(xsd_integer(X!4) <=> xsd_string(X!4)), introduced(assumption)).
% 0.20/0.38 tff(24,plain,
% 0.20/0.38 (^[X: $i] : refl((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(25,plain,
% 0.20/0.38 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[24])).
% 0.20/0.38 tff(26,plain,
% 0.20/0.38 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(27,plain,
% 0.20/0.38 (^[X: $i] : trans(rewrite((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), rewrite((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), ((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(28,plain,
% 0.20/0.38 (![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[27])).
% 0.20/0.38 tff(29,axiom,(![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_1')).
% 0.20/0.38 tff(30,plain,
% 0.20/0.38 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.20/0.38 tff(31,plain,
% 0.20/0.38 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.20/0.38 tff(32,plain,(
% 0.20/0.38 ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[31])).
% 0.20/0.38 tff(33,plain,
% 0.20/0.38 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.20/0.38 tff(34,plain,
% 0.20/0.38 ((~![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))) | (~(xsd_integer(X!4) <=> xsd_string(X!4)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(35,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[34, 33, 23])).
% 0.20/0.38 tff(36,plain,(~(xsd_integer(X!4) <=> xsd_string(X!4))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(37,assumption,(cowlNothing(X!3) | (~cowlThing(X!3))), introduced(assumption)).
% 0.20/0.38 tff(38,plain,
% 0.20/0.38 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(39,plain,
% 0.20/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[38])).
% 0.20/0.38 tff(40,plain,
% 0.20/0.38 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(41,plain,
% 0.20/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[40])).
% 0.20/0.38 tff(42,plain,
% 0.20/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(43,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.20/0.39 tff(44,plain,
% 0.20/0.39 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.20/0.39 tff(45,plain,(
% 0.20/0.39 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[44])).
% 0.20/0.39 tff(46,plain,
% 0.20/0.39 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.20/0.39 tff(47,plain,
% 0.20/0.39 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.20/0.39 tff(48,plain,
% 0.20/0.39 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!3) | (~cowlThing(X!3))))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(49,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[48, 47, 37])).
% 0.20/0.39 tff(50,plain,(~(cowlNothing(X!3) | (~cowlThing(X!3)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(51,plain,
% 0.20/0.39 ((cowlNothing(X!3) | (~cowlThing(X!3))) | cowlThing(X!3)),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(52,plain,
% 0.20/0.39 (cowlThing(X!3)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.20/0.39 tff(53,plain,
% 0.20/0.39 ((cowlNothing(X!3) | (~cowlThing(X!3))) | (~cowlNothing(X!3))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(54,plain,
% 0.20/0.39 (~cowlNothing(X!3)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[53, 50])).
% 0.20/0.39 tff(55,plain,
% 0.20/0.39 (((cowlNothing(X!3) | (~cowlThing(X!3))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (cA(X!5) <=> cnotA(X!5))) <=> (cowlNothing(X!3) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (cA(X!5) <=> cnotA(X!5)) | (~cowlThing(X!3)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(56,plain,
% 0.20/0.39 ((~(~(cowlNothing(X!3) | (~cowlThing(X!3))))) <=> (cowlNothing(X!3) | (~cowlThing(X!3)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(57,plain,
% 0.20/0.39 ((cowlThing(X!3) & (~cowlNothing(X!3))) <=> (~(cowlNothing(X!3) | (~cowlThing(X!3))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(58,plain,
% 0.20/0.39 ((~(cowlThing(X!3) & (~cowlNothing(X!3)))) <=> (~(~(cowlNothing(X!3) | (~cowlThing(X!3)))))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[57])).
% 0.20/0.39 tff(59,plain,
% 0.20/0.39 ((~(cowlThing(X!3) & (~cowlNothing(X!3)))) <=> (cowlNothing(X!3) | (~cowlThing(X!3)))),
% 0.20/0.39 inference(transitivity,[status(thm)],[58, 56])).
% 0.20/0.39 tff(60,plain,
% 0.20/0.39 (((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (cA(X!5) <=> cnotA(X!5))) <=> ((cowlNothing(X!3) | (~cowlThing(X!3))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (cA(X!5) <=> cnotA(X!5)))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[59])).
% 0.20/0.39 tff(61,plain,
% 0.20/0.39 (((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (cA(X!5) <=> cnotA(X!5))) <=> (cowlNothing(X!3) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (cA(X!5) <=> cnotA(X!5)) | (~cowlThing(X!3)))),
% 0.20/0.39 inference(transitivity,[status(thm)],[60, 55])).
% 0.20/0.39 tff(62,plain,
% 0.20/0.39 (((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (cA(X!5) <=> cnotA(X!5))) <=> ((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (cA(X!5) <=> cnotA(X!5)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(63,plain,
% 0.20/0.39 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X)))) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(64,plain,
% 0.20/0.39 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X))))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X)))))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[63])).
% 0.20/0.39 tff(65,plain,
% 0.20/0.39 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X))))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X)))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(66,plain,
% 0.20/0.39 ((~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cnotA(X) <=> (~cA(X))))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X)))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(67,axiom,(~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cnotA(X) <=> (~cA(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.20/0.39 tff(68,plain,
% 0.20/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.20/0.39 tff(69,plain,
% 0.20/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[68, 64])).
% 0.20/0.39 tff(70,plain,
% 0.20/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.20/0.39 tff(71,plain,
% 0.20/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (~(cA(X) <=> cnotA(X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[70, 64])).
% 0.20/0.39 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.20/0.39 (a!2 (not (and (cowlThing X!3) (not (cowlNothing X!3)))))
% 0.20/0.39 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.20/0.39 (a!5 (forall ((X $i)) (not (= (cA X) (cnotA X))))))
% 0.20/0.39 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!4) (xsd_string X!4)))))
% 0.20/0.39 (a!6 (sk (~ (not a!5) (= (cA X!5) (cnotA X!5)))))
% 0.20/0.39 (a!7 (~ (not (and a!1 a!3 a!5))
% 0.20/0.39 (or a!2
% 0.20/0.39 (= (xsd_integer X!4) (xsd_string X!4))
% 0.20/0.39 (= (cA X!5) (cnotA X!5))))))
% 0.20/0.39 (nnf-neg (sk (~ (not a!1) a!2)) a!4 a!6 a!7)))
% 0.20/0.39 Proof display could not be completed: unexpected number of arguments
% 0.20/0.39 % E exiting
%------------------------------------------------------------------------------