0.00/0.04	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 180
0.13/0.40	% Computer : n004.cluster.edu
0.13/0.40	% Model    : x86_64 x86_64
0.13/0.40	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.40	% Memory   : 8046.5625MB
0.13/0.40	% OS       : Linux 6.8.0-71-generic
0.13/0.40	% CPULimit : 1440
0.13/0.40	% WCLimit  : 180
0.13/0.40	% DateTime : Mon Jul 27 09:48:53 UTC 2026
0.13/0.40	% CPUTime  : 
0.13/0.41	Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 180
42.77/5.84	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
42.77/5.84	% SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
42.77/5.84	fof(f4, axiom, ! [X,Y] : ( ( is_a_theorem(implies(X,Y)) & is_a_theorem(X) ) => is_a_theorem(Y) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
42.77/5.84	fof(f4_nnf, plain, ! [X,Y] : (((~(is_a_theorem(implies(X,Y))) | ~(is_a_theorem(X))) | is_a_theorem(Y))), inference(nnf_transformation, [status(thm)], [f4])).
42.77/5.84	fof(f4_sk, plain, ! [X,Y] : (((~(is_a_theorem(implies(X,Y))) | ~(is_a_theorem(X))) | is_a_theorem(Y))), inference(skolemisation, [status(esa)], [f4_nnf])).
42.77/5.84	cnf(c4, plain, ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0) | is_a_theorem(X1), inference(cnf_transformation, [status(esa)], [f4_sk])).
42.77/5.84	cnf(hi3, axiom, ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true, inference(equality_encoding, [status(esa)], [c4])).
42.77/5.84	fof(f1, axiom, ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_1)).
42.77/5.84	fof(f1_nnf, plain, ! [X,Y,Z] : (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))), inference(nnf_transformation, [status(thm)], [f1])).
42.77/5.84	fof(f1_sk, plain, ! [X,Y,Z] : (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))), inference(skolemisation, [status(esa)], [f1_nnf])).
42.77/5.84	cnf(c1, plain, is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))), inference(cnf_transformation, [status(esa)], [f1_sk])).
42.77/5.84	cnf(hi0, axiom, is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) = true, inference(equality_encoding, [status(esa)], [c1])).
42.77/5.84	fof(f3, axiom, ! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_3)).
42.77/5.84	fof(f3_nnf, plain, ! [X,Y] : (is_a_theorem(implies(X,implies(not(X),Y)))), inference(nnf_transformation, [status(thm)], [f3])).
42.77/5.84	fof(f3_sk, plain, ! [X,Y] : (is_a_theorem(implies(X,implies(not(X),Y)))), inference(skolemisation, [status(esa)], [f3_nnf])).
42.77/5.84	cnf(c3, plain, is_a_theorem(implies(X0,implies(not(X0),X1))), inference(cnf_transformation, [status(esa)], [f3_sk])).
42.77/5.84	cnf(hi2, axiom, is_a_theorem(implies(X0,implies(not(X0),X1))) = true, inference(equality_encoding, [status(esa)], [c3])).
42.77/5.84	cnf(h6, plain, is_a_theorem(implies(implies(implies(not(V0),V1),V2),implies(V0,V2))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, hi2])).
42.77/5.84	fof(f2, axiom, ! [X] : is_a_theorem(implies(implies(not(X),X),X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_2)).
42.77/5.84	fof(f2_nnf, plain, ! [X] : (is_a_theorem(implies(implies(not(X),X),X))), inference(nnf_transformation, [status(thm)], [f2])).
42.77/5.84	fof(f2_sk, plain, ! [X] : (is_a_theorem(implies(implies(not(X),X),X))), inference(skolemisation, [status(esa)], [f2_nnf])).
42.77/5.84	cnf(c2, plain, is_a_theorem(implies(implies(not(X0),X0),X0)), inference(cnf_transformation, [status(esa)], [f2_sk])).
42.77/5.84	cnf(hi1, axiom, is_a_theorem(implies(implies(not(X0),X0),X0)) = true, inference(equality_encoding, [status(esa)], [c2])).
42.77/5.84	cnf(h10, plain, is_a_theorem(implies(V0,V0)) = true, inference(hyper_resolution, [status(thm)], [hi3, h6, hi1])).
42.77/5.84	cnf(h12, plain, is_a_theorem(implies(not(implies(V0,V0)),V1)) = true, inference(hyper_resolution, [status(thm)], [hi3, hi2, h10])).
42.77/5.84	cnf(h14, plain, is_a_theorem(implies(implies(V0,V1),implies(not(implies(V2,V2)),V1))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h12])).
42.77/5.84	cnf(h31, plain, is_a_theorem(implies(V0,implies(not(implies(V1,V1)),V2))) = true, inference(hyper_resolution, [status(thm)], [hi3, h6, h14])).
42.77/5.84	cnf(h34, plain, is_a_theorem(implies(implies(implies(not(implies(V0,V0)),V1),V2),implies(V3,V2))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h31])).
42.77/5.84	cnf(h38, plain, is_a_theorem(implies(V0,implies(V1,V1))) = true, inference(hyper_resolution, [status(thm)], [hi3, h34, hi1])).
42.77/5.84	cnf(h43, plain, is_a_theorem(implies(implies(implies(V0,V0),V1),implies(V2,V1))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h38])).
42.77/5.84	cnf(h46, plain, is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(implies(V3,V3),V1),V2))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h43])).
42.77/5.84	cnf(h85, plain, is_a_theorem(implies(implies(implies(V0,V0),V1),V1)) = true, inference(hyper_resolution, [status(thm)], [hi3, h46, hi1])).
42.77/5.84	cnf(h203, plain, is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(implies(not(V0),V3),V1),V2))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h6])).
42.77/5.84	cnf(h535, plain, is_a_theorem(implies(implies(implies(not(implies(V0,V0)),V1),V2),V2)) = true, inference(hyper_resolution, [status(thm)], [hi3, h203, h85])).
42.77/5.84	cnf(h559, plain, is_a_theorem(implies(implies(implies(not(implies(not(implies(V0,V0)),V1)),V2),V3),V3)) = true, inference(hyper_resolution, [status(thm)], [hi3, h203, h535])).
42.77/5.84	cnf(h7, plain, is_a_theorem(implies(implies(V0,V1),implies(implies(not(V0),V0),V1))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, hi1])).
42.77/5.84	cnf(h48, plain, is_a_theorem(implies(V0,implies(implies(not(V1),V1),V1))) = true, inference(hyper_resolution, [status(thm)], [hi3, h43, h7])).
42.77/5.84	cnf(h54, plain, is_a_theorem(implies(implies(implies(implies(not(V0),V0),V0),V1),implies(V2,V1))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h48])).
42.77/5.84	cnf(h192, plain, is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V2,V1)),V3),implies(implies(V2,V0),V3))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, hi0])).
42.77/5.84	cnf(h958, plain, is_a_theorem(implies(implies(V0,implies(not(V1),V1)),implies(V2,implies(V0,V1)))) = true, inference(hyper_resolution, [status(thm)], [hi3, h192, h54])).
42.77/5.84	cnf(h1124, plain, is_a_theorem(implies(implies(implies(V0,implies(V1,V2)),V3),implies(implies(V1,implies(not(V2),V2)),V3))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h958])).
42.77/5.84	cnf(h1149, plain, is_a_theorem(implies(implies(V0,implies(not(V1),V1)),implies(V0,V1))) = true, inference(hyper_resolution, [status(thm)], [hi3, h1124, h559])).
42.77/5.84	cnf(h1400, plain, is_a_theorem(implies(implies(not(V0),V1),implies(implies(V1,V0),V0))) = true, inference(hyper_resolution, [status(thm)], [hi3, h192, h1149])).
42.77/5.84	cnf(h20, plain, is_a_theorem(implies(V0,implies(implies(not(not(V0)),not(V0)),V1))) = true, inference(hyper_resolution, [status(thm)], [hi3, h6, h7])).
42.77/5.84	cnf(h200, plain, is_a_theorem(implies(implies(implies(implies(not(not(V0)),not(V0)),V1),V2),implies(V0,V2))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h20])).
42.77/5.84	cnf(h11, plain, is_a_theorem(implies(V0,implies(implies(V1,V2),implies(not(V0),V2)))) = true, inference(hyper_resolution, [status(thm)], [hi3, h6, hi0])).
42.77/5.84	cnf(h201, plain, is_a_theorem(implies(implies(implies(implies(V0,V1),implies(not(V2),V1)),V3),implies(V2,V3))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h11])).
42.77/5.84	cnf(h417, plain, is_a_theorem(implies(V0,implies(V1,implies(not(V0),V2)))) = true, inference(hyper_resolution, [status(thm)], [hi3, h201, h200])).
42.77/5.84	cnf(h438, plain, is_a_theorem(implies(implies(implies(V0,implies(not(V1),V2)),V3),implies(V1,V3))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h417])).
42.77/5.84	cnf(h1116, plain, is_a_theorem(implies(V0,implies(V1,implies(V2,V0)))) = true, inference(hyper_resolution, [status(thm)], [hi3, h438, h958])).
42.77/5.84	cnf(h1163, plain, is_a_theorem(implies(V0,implies(V1,implies(V2,V1)))) = true, inference(hyper_resolution, [status(thm)], [hi3, h958, h1116])).
42.77/5.84	cnf(h1178, plain, is_a_theorem(implies(V0,implies(V1,V0))) = true, inference(hyper_resolution, [status(thm)], [hi3, h1163, h1163])).
42.77/5.84	cnf(h1211, plain, is_a_theorem(implies(implies(implies(V0,V1),V2),implies(V1,V2))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h1178])).
42.77/5.84	cnf(h1537, plain, is_a_theorem(implies(V0,implies(implies(V0,V1),V1))) = true, inference(hyper_resolution, [status(thm)], [hi3, h1211, h1400])).
42.77/5.84	cnf(h1724, plain, is_a_theorem(implies(implies(implies(implies(V0,V1),V1),V2),implies(V0,V2))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h1537])).
42.77/5.84	cnf(h2733, plain, is_a_theorem(implies(implies(V0,implies(V1,V2)),implies(V1,implies(V0,V2)))) = true, inference(hyper_resolution, [status(thm)], [hi3, h192, h1724])).
42.77/5.84	cnf(t221, plain, is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X2,implies(X1,X3)),X4))) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0, h2733])).
42.77/5.84	cnf(t316, plain, is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X2,implies(X1,X3)),X4))) = true, inference(orient, [status(thm)], [t221])).
42.77/5.84	fof(f0, conjecture, is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_cn_23)).
42.77/5.84	fof(f0_neg, negated_conjecture, ~(is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), inference(negated_conjecture, [status(cth)], [f0])).
42.77/5.84	fof(f0_nnf, plain, ~(is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), inference(nnf_transformation, [status(thm)], [f0_neg])).
42.77/5.84	fof(f0_sk, plain, ~(is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), inference(skolemisation, [status(esa)], [f0_nnf])).
42.77/5.84	cnf(c0, plain, ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), inference(cnf_transformation, [status(esa)], [f0_sk])).
42.77/5.84	cnf(goal_0, negated_conjecture, is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))) != true, inference(equality_encoding, [status(esa)], [c0])).
42.77/5.84	cnf(g0_0, plain, true != true, inference(rw, [status(thm)], [goal_0, t316])).
42.77/5.84	cnf(contradiction_0, plain, $false, inference(trivial_inequality_removal, [status(thm)], [g0_0])).
42.77/5.84	% SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
42.77/5.84	EOF