0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 180
0.09/0.39	% Computer : n028.cluster.edu
0.09/0.39	% Model    : x86_64 x86_64
0.09/0.39	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.39	% Memory   : 8046.5625MB
0.09/0.39	% OS       : Linux 6.8.0-71-generic
0.09/0.39	% CPULimit : 1440
0.09/0.39	% WCLimit  : 180
0.09/0.39	% DateTime : Mon Jul 27 09:16:33 UTC 2026
0.09/0.39	% CPUTime  : 
0.09/0.40	Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 180
14.10/2.26	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
14.10/2.26	% SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
14.10/2.26	fof(f3, axiom, ~ ? [U] : ( sorti2(U) & ! [V] : ( op2(V,V) = U <= sorti2(V) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax4)).
14.10/2.26	fof(f3_nnf, plain, ! [U] : ((~(sorti2(U)) | ? [V] : ((sorti2(V) & op2(V,V) != U)))), inference(nnf_transformation, [status(thm)], [f3])).
14.10/2.26	fof(f3_sk, plain, ! [U] : ((~(sorti2(U)) | (sorti2(sk1(U)) & op2(sk1(U),sk1(U)) != U))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk1])], [f3_nnf])).
14.10/2.26	cnf(c10, plain, ~sorti2(X0) | op2(sk1(X0),sk1(X0)) != X0, inference(cnf_transformation, [status(esa)], [f3_sk])).
14.10/2.26	cnf(t157, plain, ifeq(sorti2(X1),true,ifeq(op2(sk1(X1),sk1(X1)),X1,false,true),true) = true, inference(equality_encoding, [status(esa)], [c10])).
14.10/2.26	cnf(t471, plain, ifeq(sorti2(X1),true,ifeq(op2(sk1(X1),sk1(X1)),X1,false,true),true) = true, inference(orient, [status(thm)], [t157])).
14.10/2.26	fof(f1, conjecture, ( ~ ( ! [X1] : ( sorti2(X1) => h(j(X1)) = X1 ) & ! [X2] : ( sorti1(X2) => j(h(X2)) = X2 ) & ! [Y] : ( sorti2(Y) => ! [Z] : ( j(op2(Y,Z)) = op1(j(Y),j(Z)) <= sorti2(Z) ) ) & ! [W] : ( sorti1(W) => ! [X] : ( op2(h(W),h(X)) = h(op1(W,X)) <= sorti1(X) ) ) ) <= ( ! [V] : ( sorti1(j(V)) <= sorti2(V) ) & ! [U] : ( sorti1(U) => sorti2(h(U)) ) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
14.10/2.26	fof(f1_neg, negated_conjecture, ~(( ~ ( ! [X1] : ( sorti2(X1) => h(j(X1)) = X1 ) & ! [X2] : ( sorti1(X2) => j(h(X2)) = X2 ) & ! [Y] : ( sorti2(Y) => ! [Z] : ( j(op2(Y,Z)) = op1(j(Y),j(Z)) <= sorti2(Z) ) ) & ! [W] : ( sorti1(W) => ! [X] : ( op2(h(W),h(X)) = h(op1(W,X)) <= sorti1(X) ) ) ) <= ( ! [V] : ( sorti1(j(V)) <= sorti2(V) ) & ! [U] : ( sorti1(U) => sorti2(h(U)) ) ) )), inference(negated_conjecture, [status(cth)], [f1])).
14.10/2.26	fof(f1_nnf, plain, ((! [V] : ((~(sorti2(V)) | sorti1(j(V)))) & ! [U] : ((~(sorti1(U)) | sorti2(h(U))))) & (((! [X1] : ((~(sorti2(X1)) | h(j(X1)) = X1)) & ! [X2] : ((~(sorti1(X2)) | j(h(X2)) = X2))) & ! [Y] : ((~(sorti2(Y)) | ! [Z] : ((~(sorti2(Z)) | j(op2(Y,Z)) = op1(j(Y),j(Z))))))) & ! [W] : ((~(sorti1(W)) | ! [X] : ((~(sorti1(X)) | op2(h(W),h(X)) = h(op1(W,X)))))))), inference(nnf_transformation, [status(thm)], [f1_neg])).
14.10/2.26	fof(f1_sk, plain, ! [V,U,X1,X2,Y,Z,W,X] : ((((~(sorti2(V)) | sorti1(j(V))) & (~(sorti1(U)) | sorti2(h(U)))) & ((((~(sorti2(X1)) | h(j(X1)) = X1) & (~(sorti1(X2)) | j(h(X2)) = X2)) & (~(sorti2(Y)) | (~(sorti2(Z)) | j(op2(Y,Z)) = op1(j(Y),j(Z))))) & (~(sorti1(W)) | (~(sorti1(X)) | op2(h(W),h(X)) = h(op1(W,X))))))), inference(skolemisation, [status(esa)], [f1_nnf])).
14.10/2.26	cnf(c7, plain, ~sorti1(X4) | ~sorti1(X5) | op2(h(X4),h(X5)) = h(op1(X4,X5)), inference(cnf_transformation, [status(esa)], [f1_sk])).
14.10/2.26	cnf(t254, plain, ifeq(sorti1(X1),true,ifeq(sorti1(X2),true,op2(h(X1),h(X2)),h(op1(X1,X2))),h(op1(X1,X2))) = h(op1(X1,X2)), inference(equality_encoding, [status(esa)], [c7])).
14.10/2.26	cnf(t320, plain, ifeq(sorti1(X1),true,ifeq(sorti1(X2),true,op2(h(X1),h(X2)),h(op1(X1,X2))),h(op1(X1,X2))) = h(op1(X1,X2)), inference(orient, [status(thm)], [t254])).
14.10/2.26	cnf(c3, plain, ~sorti1(X7) | sorti2(h(X7)), inference(cnf_transformation, [status(esa)], [f1_sk])).
14.10/2.26	cnf(hi3, negated_conjecture, ifeq(sorti1(X0),true,sorti2(h(X0)),true) = true, inference(equality_encoding, [status(esa)], [c3])).
14.10/2.26	fof(f0, axiom, ? [U] : ( sorti1(U) & ! [V] : ( sorti1(V) => U = op1(V,V) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)).
14.10/2.26	fof(f0_nnf, plain, ? [U] : ((sorti1(U) & ! [V] : ((~(sorti1(V)) | U = op1(V,V))))), inference(nnf_transformation, [status(thm)], [f0])).
14.10/2.26	fof(f0_sk, plain, ! [V] : ((sorti1(sk0) & (~(sorti1(V)) | sk0 = op1(V,V)))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk0])], [f0_nnf])).
14.10/2.26	cnf(c0, plain, sorti1(sk0), inference(cnf_transformation, [status(esa)], [f0_sk])).
14.10/2.26	cnf(hi0, axiom, sorti1(sk0) = true, inference(equality_encoding, [status(esa)], [c0])).
14.10/2.26	cnf(h3, plain, sorti2(h(sk0)) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0])).
14.10/2.26	cnf(c9, plain, ~sorti2(X0) | sorti2(sk1(X0)), inference(cnf_transformation, [status(esa)], [f3_sk])).
14.10/2.26	cnf(hi9, axiom, ifeq(sorti2(X0),true,sorti2(sk1(X0)),true) = true, inference(equality_encoding, [status(esa)], [c9])).
14.10/2.26	cnf(h14, plain, sorti2(sk1(h(sk0))) = true, inference(hyper_resolution, [status(thm)], [hi9, h3])).
14.10/2.26	cnf(c4, plain, ~sorti2(X0) | h(j(X0)) = X0, inference(cnf_transformation, [status(esa)], [f1_sk])).
14.10/2.26	cnf(hi4, negated_conjecture, ifeq(sorti2(X0),true,h(j(X0)),X0) = X0, inference(equality_encoding, [status(esa)], [c4])).
14.10/2.26	cnf(t25, plain, h(j(sk1(h(sk0)))) = sk1(h(sk0)), inference(hyper_resolution, [status(thm)], [hi4, h14])).
14.10/2.26	cnf(t296, plain, h(j(sk1(h(sk0)))) = sk1(h(sk0)), inference(orient, [status(thm)], [t25])).
14.10/2.26	cnf(t325, plain, h(op1(j(sk1(h(sk0))),X1)) = ifeq(sorti1(j(sk1(h(sk0)))),true,ifeq(sorti1(X1),true,op2(sk1(h(sk0)),h(X1)),h(op1(j(sk1(h(sk0))),X1))),h(op1(j(sk1(h(sk0))),X1))), inference(cp, [status(thm)], [t320, t296])).
14.10/2.26	cnf(c2, plain, ~sorti2(X6) | sorti1(j(X6)), inference(cnf_transformation, [status(esa)], [f1_sk])).
14.10/2.26	cnf(hi2, negated_conjecture, ifeq(sorti2(X0),true,sorti1(j(X0)),true) = true, inference(equality_encoding, [status(esa)], [c2])).
14.10/2.26	cnf(h57, plain, sorti1(j(sk1(h(sk0)))) = true, inference(hyper_resolution, [status(thm)], [hi2, h14])).
14.10/2.26	cnf(h293, plain, sorti2(h(j(sk1(h(sk0))))) = true, inference(hyper_resolution, [status(thm)], [hi3, h57])).
14.10/2.26	cnf(h1356, plain, sorti1(j(h(j(sk1(h(sk0)))))) = true, inference(hyper_resolution, [status(thm)], [hi2, h293])).
14.10/2.26	cnf(h6519, plain, sorti2(h(j(h(j(sk1(h(sk0))))))) = true, inference(hyper_resolution, [status(thm)], [hi3, h1356])).
14.10/2.26	cnf(t98, plain, sorti1(j(h(j(h(j(sk1(h(sk0)))))))) = true, inference(hyper_resolution, [status(thm)], [hi2, h6519])).
14.10/2.26	cnf(t104, plain, h(j(h(j(sk1(h(sk0)))))) = h(j(sk1(h(sk0)))), inference(hyper_resolution, [status(thm)], [hi4, h293])).
14.10/2.26	cnf(t278, plain, h(j(h(j(sk1(h(sk0)))))) = h(j(sk1(h(sk0)))), inference(orient, [status(thm)], [t104])).
14.10/2.26	cnf(t968, plain, sorti1(j(h(j(sk1(h(sk0)))))) = true, inference(step, [status(thm)], [t98, t278])).
14.10/2.26	cnf(t969, plain, sorti1(j(sk1(h(sk0)))) = true, inference(step, [status(thm)], [t968, t296])).
14.10/2.26	cnf(t450, plain, sorti1(j(sk1(h(sk0)))) = true, inference(orient, [status(thm)], [t969])).
14.10/2.26	cnf(t1015, plain, h(op1(j(sk1(h(sk0))),X1)) = ifeq(true,true,ifeq(sorti1(X1),true,op2(sk1(h(sk0)),h(X1)),h(op1(j(sk1(h(sk0))),X1))),h(op1(j(sk1(h(sk0))),X1))), inference(step, [status(thm)], [t325, t450])).
14.10/2.26	cnf(t8, plain, ifeq(X1,X1,X2,X3) = X2, introduced(definition)).
14.10/2.26	cnf(t256, plain, ifeq(X1,X1,X2,X3) = X2, inference(orient, [status(thm)], [t8])).
14.10/2.26	cnf(t1016, plain, h(op1(j(sk1(h(sk0))),X1)) = ifeq(sorti1(X1),true,op2(sk1(h(sk0)),h(X1)),h(op1(j(sk1(h(sk0))),X1))), inference(step, [status(thm)], [t1015, t256])).
14.10/2.26	cnf(t905, plain, ifeq(sorti1(X1),true,op2(sk1(h(sk0)),h(X1)),h(op1(j(sk1(h(sk0))),X1))) = h(op1(j(sk1(h(sk0))),X1)), inference(orient, [status(thm)], [t1016])).
14.10/2.26	cnf(t927, plain, h(op1(j(sk1(h(sk0))),j(sk1(h(sk0))))) = ifeq(true,true,op2(sk1(h(sk0)),h(j(sk1(h(sk0))))),h(op1(j(sk1(h(sk0))),j(sk1(h(sk0)))))), inference(cp, [status(thm)], [t905, t450])).
14.10/2.26	cnf(c1, plain, ~sorti1(X1) | sk0 = op1(X1,X1), inference(cnf_transformation, [status(esa)], [f0_sk])).
14.10/2.26	cnf(hi1, axiom, ifeq(sorti1(X0),true,sk0,op1(X0,X0)) = op1(X0,X0), inference(equality_encoding, [status(esa)], [c1])).
14.10/2.26	cnf(t97, plain, op1(j(sk1(h(sk0))),j(sk1(h(sk0)))) = sk0, inference(hyper_resolution, [status(thm)], [hi1, h57])).
14.10/2.26	cnf(t265, plain, op1(j(sk1(h(sk0))),j(sk1(h(sk0)))) = sk0, inference(orient, [status(thm)], [t97])).
14.10/2.26	cnf(t1017, plain, h(sk0) = ifeq(true,true,op2(sk1(h(sk0)),h(j(sk1(h(sk0))))),h(op1(j(sk1(h(sk0))),j(sk1(h(sk0)))))), inference(step, [status(thm)], [t927, t265])).
14.10/2.26	cnf(t1018, plain, h(sk0) = op2(sk1(h(sk0)),h(j(sk1(h(sk0))))), inference(step, [status(thm)], [t1017, t256])).
14.10/2.26	cnf(t1019, plain, h(sk0) = op2(sk1(h(sk0)),sk1(h(sk0))), inference(step, [status(thm)], [t1018, t296])).
14.10/2.26	cnf(t942, plain, op2(sk1(h(sk0)),sk1(h(sk0))) = h(sk0), inference(orient, [status(thm)], [t1019])).
14.10/2.26	cnf(t943, plain, true = ifeq(sorti2(h(sk0)),true,ifeq(h(sk0),h(sk0),false,true),true), inference(cp, [status(thm)], [t471, t942])).
14.10/2.26	cnf(t3, plain, sorti2(h(sk0)) = true, inference(hyper_resolution, [status(thm)], [hi3, hi0])).
14.10/2.26	cnf(t426, plain, sorti2(h(sk0)) = true, inference(orient, [status(thm)], [t3])).
14.10/2.26	cnf(t1020, plain, true = ifeq(true,true,ifeq(h(sk0),h(sk0),false,true),true), inference(step, [status(thm)], [t943, t426])).
14.10/2.26	cnf(t1021, plain, true = ifeq(h(sk0),h(sk0),false,true), inference(step, [status(thm)], [t1020, t256])).
14.10/2.26	cnf(t1022, plain, true = false, inference(step, [status(thm)], [t1021, t256])).
14.10/2.26	cnf(t944, plain, false = true, inference(orient, [status(thm)], [t1022])).
14.10/2.26	cnf(goal_0, negated_conjecture, true != false, inference(equality_encoding, [status(esa)], [c10])).
14.10/2.26	cnf(g0_0, plain, true != true, inference(rw, [status(thm)], [goal_0, t944])).
14.10/2.26	cnf(contradiction_0, plain, $false, inference(trivial_inequality_removal, [status(thm)], [g0_0])).
14.10/2.26	% SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
14.10/2.26	EOF