0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.08/0.35	% Computer : n005.cluster.edu
0.08/0.35	% Model    : x86_64 x86_64
0.08/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.35	% Memory   : 8046.5625MB
0.08/0.35	% OS       : Linux 6.8.0-71-generic
0.08/0.35	% CPULimit : 1440
0.08/0.35	% WCLimit  : 180
0.08/0.35	% DateTime : Mon Jul 27 10:03:34 UTC 2026
0.08/0.35	% CPUTime  : 
0.08/0.35	Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 180
11.74/2.11	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
11.74/2.11	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
11.74/2.11	fof(f12, axiom, ? [Y24] : ! [X19] : ( ( ~ r1(X19) & ~ id(X19,Y24) ) | ( id(X19,Y24) & r1(X19) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_1)).
11.74/2.11	fof(f12_nnf, plain, ? [Y24] : (! [X19] : (((~(r1(X19)) & ~(id(X19,Y24))) | (id(X19,Y24) & r1(X19))))), inference(nnf_transformation, [status(thm)], [f12])).
11.74/2.11	fof(f12_sk, plain, ! [X19] : (((~(r1(X19)) & ~(id(X19,sk9))) | (id(X19,sk9) & r1(X19)))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk9])], [f12_nnf])).
11.74/2.11	cnf(c39, plain, ~id(X1,sk9) | r1(X1), inference(cnf_transformation, [status(esa)], [f12_sk])).
11.74/2.11	cnf(hi24, axiom, ifeq(id(X0,sk9),true,r1(X0),true) = true, inference(equality_encoding, [status(esa)], [c39])).
11.74/2.11	fof(f9, axiom, ! [X20] : id(X20,X20), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
11.74/2.11	fof(f9_nnf, plain, ! [X20] : (id(X20,X20)), inference(nnf_transformation, [status(thm)], [f9])).
11.74/2.11	fof(f9_sk, plain, ! [X20] : (id(X20,X20)), inference(skolemisation, [status(esa)], [f9_nnf])).
11.74/2.11	cnf(c28, plain, id(X0,X0), inference(cnf_transformation, [status(esa)], [f9_sk])).
11.74/2.11	cnf(hi17, axiom, id(X0,X0) = true, inference(equality_encoding, [status(esa)], [c28])).
11.74/2.11	cnf(h15, plain, r1(sk9) = true, inference(hyper_resolution, [status(thm)], [hi24, hi17])).
11.74/2.11	fof(f18, conjecture, ? [Y1,Y2,Y3] : ( id(Y3,Y1) & ? [Y4] : ( r3(Y2,Y4,Y3) & ? [Y5] : ( r2(Y5,Y4) & ? [Y6] : ( ? [Y7] : ( r2(Y7,Y6) & ? [Y8] : ( r1(Y8) & r2(Y8,Y7) ) ) & r2(Y6,Y5) ) ) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', greq4id)).
11.74/2.11	fof(f18_neg, negated_conjecture, ~(? [Y1,Y2,Y3] : ( id(Y3,Y1) & ? [Y4] : ( r3(Y2,Y4,Y3) & ? [Y5] : ( r2(Y5,Y4) & ? [Y6] : ( ? [Y7] : ( r2(Y7,Y6) & ? [Y8] : ( r1(Y8) & r2(Y8,Y7) ) ) & r2(Y6,Y5) ) ) ) )), inference(negated_conjecture, [status(cth)], [f18])).
11.74/2.11	fof(f18_nnf, plain, ! [Y1,Y2,Y3] : ((~(id(Y3,Y1)) | ! [Y4] : ((~(r3(Y2,Y4,Y3)) | ! [Y5] : ((~(r2(Y5,Y4)) | ! [Y6] : ((! [Y7] : ((~(r2(Y7,Y6)) | ! [Y8] : ((~(r1(Y8)) | ~(r2(Y8,Y7)))))) | ~(r2(Y6,Y5)))))))))), inference(nnf_transformation, [status(thm)], [f18_neg])).
11.74/2.11	fof(f18_sk, plain, ! [Y3,Y1,Y2,Y4,Y5,Y7,Y6,Y8] : ((~(id(Y3,Y1)) | (~(r3(Y2,Y4,Y3)) | (~(r2(Y5,Y4)) | ((~(r2(Y7,Y6)) | (~(r1(Y8)) | ~(r2(Y8,Y7)))) | ~(r2(Y6,Y5))))))), inference(skolemisation, [status(esa)], [f18_nnf])).
11.74/2.11	cnf(c58, plain, ~id(X2,X0) | ~r3(X1,X3,X2) | ~r2(X4,X3) | ~r2(X6,X5) | ~r1(X7) | ~r2(X7,X6) | ~r2(X5,X4), inference(cnf_transformation, [status(esa)], [f18_sk])).
11.74/2.11	cnf(hi42, negated_conjecture, ifeq(id(X0,X1),true,ifeq(r3(X2,X3,X0),true,ifeq(r2(X4,X3),true,ifeq(r2(X5,X6),true,ifeq(r1(X7),true,ifeq(r2(X7,X5),true,ifeq(r2(X6,X4),true,false,true),true),true),true),true),true),true) = true, inference(equality_encoding, [status(esa)], [c58])).
11.74/2.11	fof(f3, axiom, ! [X2,X9] : ? [Y2] : ( ? [Y3] : ( ? [Y14] : ( r2(X9,Y14) & r4(X2,Y14,Y3) ) & id(Y3,Y2) ) & ? [Y6] : ( r4(X2,X9,Y6) & r3(Y6,X2,Y2) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2a)).
11.74/2.11	fof(f3_nnf, plain, ! [X2,X9] : (? [Y2] : ((? [Y3] : ((? [Y14] : ((r2(X9,Y14) & r4(X2,Y14,Y3))) & id(Y3,Y2))) & ? [Y6] : ((r4(X2,X9,Y6) & r3(Y6,X2,Y2)))))), inference(nnf_transformation, [status(thm)], [f3])).
11.74/2.11	fof(f3_sk, plain, ! [X9,X2] : ((((r2(X9,sk4(X2,X9)) & r4(X2,sk4(X2,X9),sk3(X2,X9))) & id(sk3(X2,X9),sk2(X2,X9))) & (r4(X2,X9,sk5(X2,X9)) & r3(sk5(X2,X9),X2,sk2(X2,X9))))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk2,sk3,sk4,sk5])], [f3_nnf])).
11.74/2.11	cnf(c13, plain, r3(sk5(X0,X1),X0,sk2(X0,X1)), inference(cnf_transformation, [status(esa)], [f3_sk])).
11.74/2.11	cnf(hi9, axiom, r3(sk5(X0,X1),X0,sk2(X0,X1)) = true, inference(equality_encoding, [status(esa)], [c13])).
11.74/2.11	cnf(c9, plain, r2(X1,sk4(X0,X1)), inference(cnf_transformation, [status(esa)], [f3_sk])).
11.74/2.11	cnf(hi5, axiom, r2(X0,sk4(X1,X0)) = true, inference(equality_encoding, [status(esa)], [c9])).
11.74/2.11	cnf(t0, plain, true = false, inference(hyper_resolution, [status(thm)], [hi42, hi17, hi9, hi5, hi5, h15, hi5, hi5])).
11.74/2.11	cnf(t755, plain, false = true, inference(orient, [status(thm)], [t0])).
11.74/2.11	fof(f5, axiom, ! [X7,Y10] : ( ~ r2(X7,Y10) | ! [Y20] : ( ~ id(Y20,Y10) | ~ r1(Y20) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_7a)).
11.74/2.11	fof(f5_nnf, plain, ! [X7,Y10] : ((~(r2(X7,Y10)) | ! [Y20] : ((~(id(Y20,Y10)) | ~(r1(Y20)))))), inference(nnf_transformation, [status(thm)], [f5])).
11.74/2.11	fof(f5_sk, plain, ! [X7,Y10,Y20] : ((~(r2(X7,Y10)) | (~(id(Y20,Y10)) | ~(r1(Y20))))), inference(skolemisation, [status(esa)], [f5_nnf])).
11.74/2.11	cnf(c18, plain, ~r2(X0,X1) | ~id(X2,X1) | ~r1(X2), inference(cnf_transformation, [status(esa)], [f5_sk])).
11.74/2.11	cnf(goal_0, negated_conjecture, true != false, inference(equality_encoding, [status(esa)], [c18, c58])).
11.74/2.11	cnf(g0_0, plain, true != true, inference(rw, [status(thm)], [goal_0, t755])).
11.74/2.11	cnf(contradiction_0, plain, $false, inference(trivial_inequality_removal, [status(thm)], [g0_0])).
11.74/2.11	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
11.74/2.11	EOF