0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.06	% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 180
0.16/0.42	% Computer : n008.cluster.edu
0.16/0.42	% Model    : x86_64 x86_64
0.16/0.42	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.42	% Memory   : 8046.5625MB
0.16/0.42	% OS       : Linux 6.8.0-71-generic
0.16/0.42	% CPULimit : 1440
0.16/0.42	% WCLimit  : 180
0.16/0.42	% DateTime : Mon Jul 27 09:43:27 UTC 2026
0.16/0.42	% CPUTime  : 
0.16/0.42	Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 180
64.68/8.69	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
64.68/8.69	% SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
64.68/8.69	fof(f7, axiom, ! [X,Y] : ( gt(Y,X) <=> leq(X,pred(Y)) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', leq_gt_pred)).
64.68/8.69	fof(f7_nnf, plain, ! [X,Y] : (((~(gt(Y,X)) | leq(X,pred(Y))) & (gt(Y,X) | ~(leq(X,pred(Y)))))), inference(nnf_transformation, [status(thm)], [f7])).
64.68/8.69	fof(f7_sk, plain, ! [Y,X] : (((~(gt(Y,X)) | leq(X,pred(Y))) & (gt(Y,X) | ~(leq(X,pred(Y)))))), inference(skolemisation, [status(esa)], [f7_nnf])).
64.68/8.69	cnf(c37, plain, gt(X1,X0) | ~leq(X0,pred(X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
64.68/8.69	cnf(hi39, axiom, ifeq(leq(X0,pred(X1)),trueq,gt(X1,X0),trueq) = trueq, inference(equality_encoding, [status(esa)], [c37])).
64.68/8.69	fof(f53, conjecture, ( ( geq(minus(n330,n1),n0) & geq(minus(n410,n1),n0) ) => ! [A] : ( ( leq(n0,A) & leq(A,n2) ) => ! [B] : ( init = a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),B,A) <= ( leq(n0,B) & leq(B,minus(n0,n1)) ) ) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gauss_init_0077)).
64.68/8.69	fof(f53_neg, negated_conjecture, ~(( ( geq(minus(n330,n1),n0) & geq(minus(n410,n1),n0) ) => ! [A] : ( ( leq(n0,A) & leq(A,n2) ) => ! [B] : ( init = a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),B,A) <= ( leq(n0,B) & leq(B,minus(n0,n1)) ) ) ) )), inference(negated_conjecture, [status(cth)], [f53])).
64.68/8.69	fof(f53_nnf, plain, ((geq(minus(n330,n1),n0) & geq(minus(n410,n1),n0)) & ? [A] : (((leq(n0,A) & leq(A,n2)) & ? [B] : (((leq(n0,B) & leq(B,minus(n0,n1))) & init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),B,A)))))), inference(nnf_transformation, [status(thm)], [f53_neg])).
64.68/8.69	fof(f53_sk, plain, ((geq(minus(n330,n1),n0) & geq(minus(n410,n1),n0)) & ((leq(n0,sk27) & leq(sk27,n2)) & ((leq(n0,sk28) & leq(sk28,minus(n0,n1))) & init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),sk28,sk27)))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk27,sk28])], [f53_nnf])).
64.68/8.69	cnf(c261, plain, leq(sk28,minus(n0,n1)), inference(cnf_transformation, [status(esa)], [f53_sk])).
64.68/8.69	cnf(hi259, negated_conjecture, leq(sk28,minus(n0,n1)) = trueq, inference(equality_encoding, [status(esa)], [c261])).
64.68/8.69	fof(f42, axiom, ! [X] : pred(X) = minus(X,n1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', pred_minus_1)).
64.68/8.69	fof(f42_nnf, plain, ! [X] : (pred(X) = minus(X,n1)), inference(nnf_transformation, [status(thm)], [f42])).
64.68/8.69	fof(f42_sk, plain, ! [X] : (pred(X) = minus(X,n1)), inference(skolemisation, [status(esa)], [f42_nnf])).
64.68/8.69	cnf(c240, plain, pred(X0) = minus(X0,n1), inference(cnf_transformation, [status(esa)], [f42_sk])).
64.68/8.69	cnf(hi11, axiom, pred(X0) = minus(X0,n1), inference(equality_encoding, [status(esa)], [c240])).
64.68/8.69	cnf(t19, plain, gt(n0,sk28) = trueq, inference(hyper_resolution, [status(thm)], [hi39, hi259, hi11])).
64.68/8.69	cnf(t350, plain, gt(n0,sk28) = trueq, inference(orient, [status(thm)], [t19])).
64.68/8.69	fof(f78, axiom, ! [X] : ( ( leq(n0,X) & leq(X,n0) ) => n0 = X ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', finite_domain_0)).
64.68/8.69	fof(f78_nnf, plain, ! [X] : (((~(leq(n0,X)) | ~(leq(X,n0))) | n0 = X)), inference(nnf_transformation, [status(thm)], [f78])).
64.68/8.69	fof(f78_sk, plain, ! [X] : (((~(leq(n0,X)) | ~(leq(X,n0))) | n0 = X)), inference(skolemisation, [status(esa)], [f78_nnf])).
64.68/8.69	cnf(c287, plain, ~leq(n0,X0) | ~leq(X0,n0) | n0 = X0, inference(cnf_transformation, [status(esa)], [f78_sk])).
64.68/8.69	cnf(t220, plain, ifeq(leq(n0,X1),trueq,ifeq(leq(X1,n0),trueq,n0,X1),X1) = X1, inference(equality_encoding, [status(esa)], [c287])).
64.68/8.69	cnf(t319, plain, ifeq(leq(n0,X1),trueq,ifeq(leq(X1,n0),trueq,n0,X1),X1) = X1, inference(orient, [status(thm)], [t220])).
64.68/8.69	cnf(h2223, plain, gt(n0,sk28) = trueq, inference(hyper_resolution, [status(thm)], [hi39, hi259, hi11])).
64.68/8.69	fof(f32, axiom, ! [X,Y] : ( leq(X,Y) <= gt(Y,X) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', leq_gt1)).
64.68/8.69	fof(f32_nnf, plain, ! [X,Y] : ((~(gt(Y,X)) | leq(X,Y))), inference(nnf_transformation, [status(thm)], [f32])).
64.68/8.69	fof(f32_sk, plain, ! [Y,X] : ((~(gt(Y,X)) | leq(X,Y))), inference(skolemisation, [status(esa)], [f32_nnf])).
64.68/8.69	cnf(c201, plain, ~gt(X1,X0) | leq(X0,X1), inference(cnf_transformation, [status(esa)], [f32_sk])).
64.68/8.69	cnf(hi201, axiom, ifeq(gt(X0,X1),trueq,leq(X1,X0),trueq) = trueq, inference(equality_encoding, [status(esa)], [c201])).
64.68/8.69	cnf(t87, plain, leq(sk28,n0) = trueq, inference(hyper_resolution, [status(thm)], [hi201, h2223])).
64.68/8.69	cnf(t628, plain, leq(sk28,n0) = trueq, inference(orient, [status(thm)], [t87])).
64.68/8.69	cnf(t629, plain, sk28 = ifeq(leq(n0,sk28),trueq,ifeq(trueq,trueq,n0,sk28),sk28), inference(cp, [status(thm)], [t319, t628])).
64.68/8.69	cnf(c260, plain, leq(n0,sk28), inference(cnf_transformation, [status(esa)], [f53_sk])).
64.68/8.69	cnf(t63, plain, leq(n0,sk28) = trueq, inference(equality_encoding, [status(esa)], [c260])).
64.68/8.69	cnf(t516, plain, leq(n0,sk28) = trueq, inference(orient, [status(thm)], [t63])).
64.68/8.69	cnf(t1521, plain, sk28 = ifeq(trueq,trueq,ifeq(trueq,trueq,n0,sk28),sk28), inference(step, [status(thm)], [t629, t516])).
64.68/8.69	cnf(t147, plain, ifeq(X1,X1,X2,X3) = X2, introduced(definition)).
64.68/8.69	cnf(t287, plain, ifeq(X1,X1,X2,X3) = X2, inference(orient, [status(thm)], [t147])).
64.68/8.69	cnf(t1522, plain, sk28 = ifeq(trueq,trueq,n0,sk28), inference(step, [status(thm)], [t1521, t287])).
64.68/8.69	cnf(t1523, plain, sk28 = n0, inference(step, [status(thm)], [t1522, t287])).
64.68/8.69	cnf(t1432, plain, n0 = sk28, inference(orient, [status(thm)], [t1523])).
64.68/8.69	cnf(t1545, plain, gt(sk28,sk28) = trueq, inference(step, [status(thm)], [t350, t1432])).
64.68/8.69	fof(f20, axiom, ! [X] : ~ gt(X,X), file('/export/starexec/sandbox/benchmark/theBenchmark.p', irreflexivity_gt)).
64.68/8.69	fof(f20_nnf, plain, ! [X] : (~(gt(X,X))), inference(nnf_transformation, [status(thm)], [f20])).
64.68/8.69	fof(f20_sk, plain, ! [X] : (~(gt(X,X))), inference(skolemisation, [status(esa)], [f20_nnf])).
64.68/8.69	cnf(c182, plain, ~gt(X0,X0), inference(cnf_transformation, [status(esa)], [f20_sk])).
64.68/8.69	cnf(t18, plain, gt(X1,X1) = false, inference(equality_encoding, [status(esa)], [c182])).
64.68/8.69	cnf(t1345, plain, gt(X1,X1) = false, inference(orient, [status(thm)], [t18])).
64.68/8.69	cnf(t1546, plain, false = trueq, inference(step, [status(thm)], [t1545, t1345])).
64.68/8.69	cnf(t1454, plain, false = trueq, inference(rw, [status(thm)], [t1546])).
64.68/8.69	cnf(t1508, plain, false = trueq, inference(orient, [status(thm)], [t1454])).
64.68/8.69	fof(f45, axiom, def != use, file('/export/starexec/sandbox/benchmark/theBenchmark.p', defuse)).
64.68/8.69	fof(f45_nnf, plain, def != use, inference(nnf_transformation, [status(thm)], [f45])).
64.68/8.69	fof(f45_sk, plain, def != use, inference(skolemisation, [status(esa)], [f45_nnf])).
64.68/8.69	cnf(c243, plain, def != use, inference(cnf_transformation, [status(esa)], [f45_sk])).
64.68/8.69	cnf(c262, plain, init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),sk28,sk27), inference(cnf_transformation, [status(esa)], [f53_sk])).
64.68/8.69	cnf(goal_0, negated_conjecture, trueq != false, inference(equality_encoding, [status(esa)], [c182, c243, c262])).
64.68/8.69	cnf(g0_0, plain, trueq != trueq, inference(rw, [status(thm)], [goal_0, t1508])).
64.68/8.69	cnf(contradiction_0, plain, $false, inference(trivial_inequality_removal, [status(thm)], [g0_0])).
64.68/8.69	% SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
64.68/8.69	EOF