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
0.13/0.41	% Computer : n009.cluster.edu
0.13/0.41	% Model    : x86_64 x86_64
0.13/0.41	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.41	% Memory   : 8046.5625MB
0.13/0.41	% OS       : Linux 6.8.0-71-generic
0.13/0.42	% CPULimit : 1440
0.13/0.42	% WCLimit  : 180
0.13/0.42	% DateTime : Mon Jul 27 10:24:58 UTC 2026
0.13/0.42	% CPUTime  : 
0.13/0.42	Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 180
1057.00/152.65	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
1057.00/152.65	% SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
1057.00/152.65	fof(f92, axiom, ! [Xa,Xb,Xc,Xd,Xe,Xf] : ( ~ s_e(Xc,Xd,Xe,Xf) | s_e(Xa,Xb,Xe,Xf) | ~ s_e(Xa,Xb,Xc,Xd) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz2_3)).
1057.00/152.65	fof(f92_nnf, plain, ! [Xa,Xb,Xc,Xd,Xe,Xf] : (((~(s_e(Xc,Xd,Xe,Xf)) | s_e(Xa,Xb,Xe,Xf)) | ~(s_e(Xa,Xb,Xc,Xd)))), inference(nnf_transformation, [status(thm)], [f92])).
1057.00/152.65	fof(f92_sk, plain, ! [Xc,Xd,Xe,Xf,Xa,Xb] : (((~(s_e(Xc,Xd,Xe,Xf)) | s_e(Xa,Xb,Xe,Xf)) | ~(s_e(Xa,Xb,Xc,Xd)))), inference(skolemisation, [status(esa)], [f92_nnf])).
1057.00/152.65	cnf(c130, plain, ~s_e(X2,X3,X4,X5) | s_e(X0,X1,X4,X5) | ~s_e(X0,X1,X2,X3), inference(cnf_transformation, [status(esa)], [f92_sk])).
1057.00/152.65	cnf(t215, plain, ifeq(s_e(X1,X2,X3,X4),true,ifeq(s_e(X5,X6,X1,X2),true,s_e(X5,X6,X3,X4),true),true) = true, inference(equality_encoding, [status(esa)], [c130])).
1057.00/152.65	cnf(t478, plain, ifeq(s_e(X1,X2,X3,X4),true,ifeq(s_e(X5,X6,X1,X2),true,s_e(X5,X6,X3,X4),true),true) = true, inference(orient, [status(thm)], [t215])).
1057.00/152.65	fof(f80, axiom, ! [Xa,Xb,Xc] : ( ( s_e(Xa,Xc,Xa,s(Xb,Xc)) | ~ s_r(Xa,Xb,Xc) ) & ( s_r(Xa,Xb,Xc) | ~ s_e(Xa,Xc,Xa,s(Xb,Xc)) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d_Defn8_1)).
1057.00/152.65	fof(f80_nnf, plain, ! [Xa,Xb,Xc] : (((s_e(Xa,Xc,Xa,s(Xb,Xc)) | ~(s_r(Xa,Xb,Xc))) & (s_r(Xa,Xb,Xc) | ~(s_e(Xa,Xc,Xa,s(Xb,Xc)))))), inference(nnf_transformation, [status(thm)], [f80])).
1057.00/152.65	fof(f80_sk, plain, ! [Xa,Xc,Xb] : (((s_e(Xa,Xc,Xa,s(Xb,Xc)) | ~(s_r(Xa,Xb,Xc))) & (s_r(Xa,Xb,Xc) | ~(s_e(Xa,Xc,Xa,s(Xb,Xc)))))), inference(skolemisation, [status(esa)], [f80_nnf])).
1057.00/152.65	cnf(c111, plain, s_e(X0,X2,X0,s(X1,X2)) | ~s_r(X0,X1,X2), inference(cnf_transformation, [status(esa)], [f80_sk])).
1057.00/152.65	cnf(t201, plain, ifeq(s_r(X1,X2,X3),true,s_e(X1,X3,X1,s(X2,X3)),true) = true, inference(equality_encoding, [status(esa)], [c111])).
1057.00/152.65	cnf(t555, plain, ifeq(s_r(X1,X2,X3),true,s_e(X1,X3,X1,s(X2,X3)),true) = true, inference(orient, [status(thm)], [t201])).
1057.00/152.65	fof(f130, axiom, ! [Xa,Xb,Xc] : ( ~ s_r(Xa,Xb,Xc) | s_r(Xa,Xb,s(Xb,Xc)) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz8_4)).
1057.00/152.65	fof(f130_nnf, plain, ! [Xa,Xb,Xc] : ((~(s_r(Xa,Xb,Xc)) | s_r(Xa,Xb,s(Xb,Xc)))), inference(nnf_transformation, [status(thm)], [f130])).
1057.00/152.65	fof(f130_sk, plain, ! [Xa,Xb,Xc] : ((~(s_r(Xa,Xb,Xc)) | s_r(Xa,Xb,s(Xb,Xc)))), inference(skolemisation, [status(esa)], [f130_nnf])).
1057.00/152.65	cnf(c191, plain, ~s_r(X0,X1,X2) | s_r(X0,X1,s(X1,X2)), inference(cnf_transformation, [status(esa)], [f130_sk])).
1057.00/152.65	cnf(hi177, axiom, ifeq(s_r(X0,X1,X2),true,s_r(X0,X1,s(X1,X2)),true) = true, inference(equality_encoding, [status(esa)], [c191])).
1057.00/152.65	fof(f118, conjecture, ! [Xa,Xb,Xc,Xa1,Xc1] : ( ~ s_r(Xa,Xb,Xc) | ~ s_r(Xa1,Xb,Xc1) | ~ s_e(Xa,Xb,Xa1,Xb) | ~ s_e(Xb,Xc,Xb,Xc1) | Xc1 = Xc | Xb != midpoint(Xc,Xc1) | s_e(Xa,Xc,Xa1,Xc1) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz10_12c)).
1057.00/152.65	fof(f118_neg, negated_conjecture, ~(! [Xa,Xb,Xc,Xa1,Xc1] : ( ~ s_r(Xa,Xb,Xc) | ~ s_r(Xa1,Xb,Xc1) | ~ s_e(Xa,Xb,Xa1,Xb) | ~ s_e(Xb,Xc,Xb,Xc1) | Xc1 = Xc | Xb != midpoint(Xc,Xc1) | s_e(Xa,Xc,Xa1,Xc1) )), inference(negated_conjecture, [status(cth)], [f118])).
1057.00/152.65	fof(f118_nnf, plain, ? [Xa,Xb,Xc,Xa1,Xc1] : (((((((s_r(Xa,Xb,Xc) & s_r(Xa1,Xb,Xc1)) & s_e(Xa,Xb,Xa1,Xb)) & s_e(Xb,Xc,Xb,Xc1)) & Xc1 != Xc) & Xb = midpoint(Xc,Xc1)) & ~(s_e(Xa,Xc,Xa1,Xc1)))), inference(nnf_transformation, [status(thm)], [f118_neg])).
1057.00/152.65	fof(f118_sk, plain, ((((((s_r(sk0,sk1,sk2) & s_r(sk3,sk1,sk4)) & s_e(sk0,sk1,sk3,sk1)) & s_e(sk1,sk2,sk1,sk4)) & sk4 != sk2) & sk1 = midpoint(sk2,sk4)) & ~(s_e(sk0,sk2,sk3,sk4))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk0,sk1,sk2,sk3,sk4])], [f118_nnf])).
1057.00/152.65	cnf(c170, plain, s_r(sk3,sk1,sk4), inference(cnf_transformation, [status(esa)], [f118_sk])).
1057.00/152.65	cnf(hi159, negated_conjecture, s_r(sk3,sk1,sk4) = true, inference(equality_encoding, [status(esa)], [c170])).
1057.00/152.65	cnf(t91, plain, s_r(sk3,sk1,s(sk1,sk4)) = true, inference(hyper_resolution, [status(thm)], [hi177, hi159])).
1057.00/152.65	cnf(t1997, plain, s_r(sk3,sk1,s(sk1,sk4)) = true, inference(orient, [status(thm)], [t91])).
1057.00/152.65	fof(f32, axiom, ! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp, file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz7_7)).
1057.00/152.65	fof(f32_nnf, plain, ! [Xa,Xp] : (s(Xa,s(Xa,Xp)) = Xp), inference(nnf_transformation, [status(thm)], [f32])).
1057.00/152.65	fof(f32_sk, plain, ! [Xa,Xp] : (s(Xa,s(Xa,Xp)) = Xp), inference(skolemisation, [status(esa)], [f32_nnf])).
1057.00/152.65	cnf(c42, plain, s(X0,s(X0,X1)) = X1, inference(cnf_transformation, [status(esa)], [f32_sk])).
1057.00/152.65	cnf(t37, plain, s(X1,s(X1,X2)) = X2, inference(equality_encoding, [status(esa)], [c42])).
1057.00/152.65	cnf(t294, plain, s(X1,s(X1,X2)) = X2, inference(orient, [status(thm)], [t37])).
1057.00/152.65	fof(f101, axiom, ! [Xp,Xa,Xq] : ( Xq = s(Xa,Xp) | ~ s_m(Xp,Xa,Xq) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz7_6)).
1057.00/152.65	fof(f101_nnf, plain, ! [Xp,Xa,Xq] : ((Xq = s(Xa,Xp) | ~(s_m(Xp,Xa,Xq)))), inference(nnf_transformation, [status(thm)], [f101])).
1057.00/152.65	fof(f101_sk, plain, ! [Xq,Xa,Xp] : ((Xq = s(Xa,Xp) | ~(s_m(Xp,Xa,Xq)))), inference(skolemisation, [status(esa)], [f101_nnf])).
1057.00/152.65	cnf(c145, plain, X2 = s(X1,X0) | ~s_m(X0,X1,X2), inference(cnf_transformation, [status(esa)], [f101_sk])).
1057.00/152.65	cnf(hi135, axiom, ifeq(s_m(X0,X1,X2),true,X2,s(X1,X0)) = s(X1,X0), inference(equality_encoding, [status(esa)], [c145])).
1057.00/152.65	fof(f164, axiom, ! [Xa,Xb] : s_m(Xa,midpoint(Xa,Xb),Xb), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz8_22)).
1057.00/152.65	fof(f164_nnf, plain, ! [Xa,Xb] : (s_m(Xa,midpoint(Xa,Xb),Xb)), inference(nnf_transformation, [status(thm)], [f164])).
1057.00/152.65	fof(f164_sk, plain, ! [Xa,Xb] : (s_m(Xa,midpoint(Xa,Xb),Xb)), inference(skolemisation, [status(esa)], [f164_nnf])).
1057.00/152.65	cnf(c244, plain, s_m(X0,midpoint(X0,X1),X1), inference(cnf_transformation, [status(esa)], [f164_sk])).
1057.00/152.65	cnf(hi222, axiom, s_m(X0,midpoint(X0,X1),X1) = true, inference(equality_encoding, [status(esa)], [c244])).
1057.00/152.65	cnf(t41, plain, s(midpoint(X1,X2),X1) = X2, inference(hyper_resolution, [status(thm)], [hi135, hi222])).
1057.00/152.65	cnf(t384, plain, s(midpoint(X1,X2),X1) = X2, inference(orient, [status(thm)], [t41])).
1057.00/152.65	cnf(c174, plain, sk1 = midpoint(sk2,sk4), inference(cnf_transformation, [status(esa)], [f118_sk])).
1057.00/152.65	cnf(t3, plain, midpoint(sk2,sk4) = sk1, inference(equality_encoding, [status(esa)], [c174])).
1057.00/152.65	cnf(t2573, plain, midpoint(sk2,sk4) = sk1, inference(orient, [status(thm)], [t3])).
1057.00/152.65	cnf(t2575, plain, sk4 = s(sk1,sk2), inference(cp, [status(thm)], [t384, t2573])).
1057.00/152.65	cnf(t2577, plain, s(sk1,sk2) = sk4, inference(orient, [status(thm)], [t2575])).
1057.00/152.65	cnf(t2585, plain, sk2 = s(sk1,sk4), inference(cp, [status(thm)], [t294, t2577])).
1057.00/152.65	cnf(t2615, plain, s(sk1,sk4) = sk2, inference(orient, [status(thm)], [t2585])).
1057.00/152.65	cnf(t673595, plain, s_r(sk3,sk1,sk2) = true, inference(step, [status(thm)], [t1997, t2615])).
1057.00/152.65	cnf(t2652, plain, s_r(sk3,sk1,sk2) = true, inference(rw, [status(thm)], [t673595])).
1057.00/152.65	cnf(t2772, plain, s_r(sk3,sk1,sk2) = true, inference(orient, [status(thm)], [t2652])).
1057.00/152.65	cnf(t2777, plain, true = ifeq(true,true,s_e(sk3,sk2,sk3,s(sk1,sk2)),true), inference(cp, [status(thm)], [t555, t2772])).
1057.00/152.65	cnf(t33, plain, ifeq(X1,X1,X2,X3) = X2, introduced(definition)).
1057.00/152.65	cnf(t248, plain, ifeq(X1,X1,X2,X3) = X2, inference(orient, [status(thm)], [t33])).
1057.00/152.65	cnf(t673616, plain, true = s_e(sk3,sk2,sk3,s(sk1,sk2)), inference(step, [status(thm)], [t2777, t248])).
1057.00/152.65	cnf(t673617, plain, true = s_e(sk3,sk2,sk3,sk4), inference(step, [status(thm)], [t673616, t2577])).
1057.00/152.65	cnf(t3189, plain, s_e(sk3,sk2,sk3,sk4) = true, inference(orient, [status(thm)], [t673617])).
1057.00/152.65	cnf(t3197, plain, true = ifeq(true,true,ifeq(s_e(X1,X2,sk3,sk2),true,s_e(X1,X2,sk3,sk4),true),true), inference(cp, [status(thm)], [t478, t3189])).
1057.00/152.65	cnf(t674511, plain, true = ifeq(s_e(X1,X2,sk3,sk2),true,s_e(X1,X2,sk3,sk4),true), inference(step, [status(thm)], [t3197, t248])).
1057.00/152.65	cnf(t22204, plain, ifeq(s_e(X1,X2,sk3,sk2),true,s_e(X1,X2,sk3,sk4),true) = true, inference(orient, [status(thm)], [t674511])).
1057.00/152.65	fof(f154, axiom, ! [Xa,Xb,Xc,Xa1] : ( ~ s_r(Xa,Xb,Xc) | ~ s_r(Xa1,Xb,Xc) | ~ s_e(Xa,Xb,Xa1,Xb) | s_e(Xa,Xc,Xa1,Xc) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz10_12b)).
1057.00/152.65	fof(f154_nnf, plain, ! [Xa,Xb,Xc,Xa1] : ((((~(s_r(Xa,Xb,Xc)) | ~(s_r(Xa1,Xb,Xc))) | ~(s_e(Xa,Xb,Xa1,Xb))) | s_e(Xa,Xc,Xa1,Xc))), inference(nnf_transformation, [status(thm)], [f154])).
1057.00/152.65	fof(f154_sk, plain, ! [Xa,Xb,Xc,Xa1] : ((((~(s_r(Xa,Xb,Xc)) | ~(s_r(Xa1,Xb,Xc))) | ~(s_e(Xa,Xb,Xa1,Xb))) | s_e(Xa,Xc,Xa1,Xc))), inference(skolemisation, [status(esa)], [f154_nnf])).
1057.00/152.65	cnf(c228, plain, ~s_r(X0,X1,X2) | ~s_r(X3,X1,X2) | ~s_e(X0,X1,X3,X1) | s_e(X0,X2,X3,X2), inference(cnf_transformation, [status(esa)], [f154_sk])).
1057.00/152.65	cnf(t231, plain, ifeq(s_r(X1,X2,X3),true,ifeq(s_r(X4,X2,X3),true,ifeq(s_e(X1,X2,X4,X2),true,s_e(X1,X3,X4,X3),true),true),true) = true, inference(equality_encoding, [status(esa)], [c228])).
1057.00/152.65	cnf(t550, plain, ifeq(s_r(X1,X2,X3),true,ifeq(s_r(X4,X2,X3),true,ifeq(s_e(X1,X2,X4,X2),true,s_e(X1,X3,X4,X3),true),true),true) = true, inference(orient, [status(thm)], [t231])).
1057.00/152.65	cnf(c171, plain, s_e(sk0,sk1,sk3,sk1), inference(cnf_transformation, [status(esa)], [f118_sk])).
1057.00/152.65	cnf(t57, plain, s_e(sk0,sk1,sk3,sk1) = true, inference(equality_encoding, [status(esa)], [c171])).
1057.00/152.65	cnf(t1610, plain, s_e(sk0,sk1,sk3,sk1) = true, inference(orient, [status(thm)], [t57])).
1057.00/152.65	cnf(t1627, plain, true = ifeq(s_r(sk0,sk1,X1),true,ifeq(s_r(sk3,sk1,X1),true,ifeq(true,true,s_e(sk0,X1,sk3,X1),true),true),true), inference(cp, [status(thm)], [t550, t1610])).
1057.00/152.65	cnf(t673431, plain, ifeq(s_r(sk0,sk1,X1),true,ifeq(s_r(sk3,sk1,X1),true,s_e(sk0,X1,sk3,X1),true),true) = true, inference(orient, [status(thm)], [t1627])).
1057.00/152.65	cnf(c169, plain, s_r(sk0,sk1,sk2), inference(cnf_transformation, [status(esa)], [f118_sk])).
1057.00/152.65	cnf(t22, plain, s_r(sk0,sk1,sk2) = true, inference(equality_encoding, [status(esa)], [c169])).
1057.00/152.65	cnf(t1982, plain, s_r(sk0,sk1,sk2) = true, inference(orient, [status(thm)], [t22])).
1057.00/152.65	cnf(t673432, plain, true = ifeq(true,true,ifeq(s_r(sk3,sk1,sk2),true,s_e(sk0,sk2,sk3,sk2),true),true), inference(cp, [status(thm)], [t673431, t1982])).
1057.00/152.65	cnf(t673442, plain, s_e(sk0,sk2,sk3,sk2) = true, inference(orient, [status(thm)], [t673432])).
1057.00/152.65	cnf(t673447, plain, true = ifeq(true,true,s_e(sk0,sk2,sk3,sk4),true), inference(cp, [status(thm)], [t22204, t673442])).
1057.00/152.65	cnf(t673544, plain, false = true, inference(orient, [status(thm)], [t673447])).
1057.00/152.65	fof(f7, axiom, ( ~ s_t(alpha,beta,gamma) & ~ s_t(beta,gamma,alpha) & ~ s_t(gamma,alpha,beta) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aA8)).
1057.00/152.65	fof(f7_nnf, plain, ((~(s_t(alpha,beta,gamma)) & ~(s_t(beta,gamma,alpha))) & ~(s_t(gamma,alpha,beta))), inference(nnf_transformation, [status(thm)], [f7])).
1057.00/152.65	fof(f7_sk, plain, ((~(s_t(alpha,beta,gamma)) & ~(s_t(beta,gamma,alpha))) & ~(s_t(gamma,alpha,beta))), inference(skolemisation, [status(esa)], [f7_nnf])).
1057.00/152.65	cnf(c9, plain, ~s_t(alpha,beta,gamma), inference(cnf_transformation, [status(esa)], [f7_sk])).
1057.00/152.65	cnf(c10, plain, ~s_t(beta,gamma,alpha), inference(cnf_transformation, [status(esa)], [f7_sk])).
1057.00/152.65	cnf(c11, plain, ~s_t(gamma,alpha,beta), inference(cnf_transformation, [status(esa)], [f7_sk])).
1057.00/152.65	fof(f57, axiom, ! [Xp,Xq,Xa,Xb,Xt] : ( ( Xp = Xq | s_col(Xp,Xq,Xa) | ~ s_t(Xa,Xt,Xb) | ~ s_col(Xp,Xq,Xt) | opposite(Xa,Xp,Xq,Xb) | s_col(Xp,Xq,Xb) ) & ( ~ s_col(Xp,Xq,Xb) | ~ opposite(Xa,Xp,Xq,Xb) ) & ( ~ opposite(Xa,Xp,Xq,Xb) | s_col(Xp,Xq,il(Xa,Xb,Xp,Xq)) ) & ( s_t(Xa,il(Xa,Xb,Xp,Xq),Xb) | ~ opposite(Xa,Xp,Xq,Xb) ) & ( ~ opposite(Xa,Xp,Xq,Xb) | ~ s_col(Xp,Xq,Xa) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d_Defn9_1)).
1057.00/152.65	fof(f57_nnf, plain, ! [Xp,Xq,Xa,Xb,Xt] : ((((((((((Xp = Xq | s_col(Xp,Xq,Xa)) | ~(s_t(Xa,Xt,Xb))) | ~(s_col(Xp,Xq,Xt))) | opposite(Xa,Xp,Xq,Xb)) | s_col(Xp,Xq,Xb)) & (~(s_col(Xp,Xq,Xb)) | ~(opposite(Xa,Xp,Xq,Xb)))) & (~(opposite(Xa,Xp,Xq,Xb)) | s_col(Xp,Xq,il(Xa,Xb,Xp,Xq)))) & (s_t(Xa,il(Xa,Xb,Xp,Xq),Xb) | ~(opposite(Xa,Xp,Xq,Xb)))) & (~(opposite(Xa,Xp,Xq,Xb)) | ~(s_col(Xp,Xq,Xa))))), inference(nnf_transformation, [status(thm)], [f57])).
1057.00/152.65	fof(f57_sk, plain, ! [Xp,Xq,Xa,Xt,Xb] : ((((((((((Xp = Xq | s_col(Xp,Xq,Xa)) | ~(s_t(Xa,Xt,Xb))) | ~(s_col(Xp,Xq,Xt))) | opposite(Xa,Xp,Xq,Xb)) | s_col(Xp,Xq,Xb)) & (~(s_col(Xp,Xq,Xb)) | ~(opposite(Xa,Xp,Xq,Xb)))) & (~(opposite(Xa,Xp,Xq,Xb)) | s_col(Xp,Xq,il(Xa,Xb,Xp,Xq)))) & (s_t(Xa,il(Xa,Xb,Xp,Xq),Xb) | ~(opposite(Xa,Xp,Xq,Xb)))) & (~(opposite(Xa,Xp,Xq,Xb)) | ~(s_col(Xp,Xq,Xa))))), inference(skolemisation, [status(esa)], [f57_nnf])).
1057.00/152.65	cnf(c70, plain, ~s_col(X0,X1,X3) | ~opposite(X2,X0,X1,X3), inference(cnf_transformation, [status(esa)], [f57_sk])).
1057.00/152.65	cnf(c73, plain, ~opposite(X2,X0,X1,X3) | ~s_col(X0,X1,X2), inference(cnf_transformation, [status(esa)], [f57_sk])).
1057.00/152.65	fof(f61, axiom, ! [Xa,Xb,Xp,Xq] : ( ~ perp(Xa,Xb,Xp,Xq) | ~ s_col(Xa,Xb,Xp) | ~ s_col(Xa,Xb,Xq) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz8_14a)).
1057.00/152.65	fof(f61_nnf, plain, ! [Xa,Xb,Xp,Xq] : (((~(perp(Xa,Xb,Xp,Xq)) | ~(s_col(Xa,Xb,Xp))) | ~(s_col(Xa,Xb,Xq)))), inference(nnf_transformation, [status(thm)], [f61])).
1057.00/152.65	fof(f61_sk, plain, ! [Xa,Xb,Xp,Xq] : (((~(perp(Xa,Xb,Xp,Xq)) | ~(s_col(Xa,Xb,Xp))) | ~(s_col(Xa,Xb,Xq)))), inference(skolemisation, [status(esa)], [f61_nnf])).
1057.00/152.65	cnf(c81, plain, ~perp(X0,X1,X2,X3) | ~s_col(X0,X1,X2) | ~s_col(X0,X1,X3), inference(cnf_transformation, [status(esa)], [f61_sk])).
1057.00/152.65	fof(f67, axiom, ! [Y,Z,X,Y1,Z1,U,V] : ( ( ~ perpAt(Y,Z,X,Y1,Z1) | s_col(Y,Z,X) ) & ( ~ perpAt(Y,Z,X,Y1,Z1) | Z1 != Y1 ) & ( s_r(U,X,V) | ~ s_col(Y1,Z1,V) | ~ s_col(Y,Z,U) | ~ perpAt(Y,Z,X,Y1,Z1) ) & ( perpAt(Y,Z,X,Y1,Z1) | Y = Z | ~ s_col(Y,Z,X) | ~ s_col(Y1,Z1,X) | s_col(Y,Z,f811(Y,Z,Y1,Z1,X)) | Z1 = Y1 ) & ( perpAt(Y,Z,X,Y1,Z1) | Z = Y | ~ s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X)) | ~ s_col(Y1,Z1,X) | ~ s_col(Y,Z,X) | Z1 = Y1 ) & ( ~ s_col(Y,Z,X) | ~ s_col(Y1,Z1,X) | s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X)) | Z1 = Y1 | Y = Z | perpAt(Y,Z,X,Y1,Z1) ) & ( Z != Y | ~ perpAt(Y,Z,X,Y1,Z1) ) & ( ~ perpAt(Y,Z,X,Y1,Z1) | s_col(Y1,Z1,X) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d_Defn8_11a)).
1057.00/152.65	fof(f67_nnf, plain, ! [Y,Z,X,Y1,Z1,U,V] : (((((((((~(perpAt(Y,Z,X,Y1,Z1)) | s_col(Y,Z,X)) & (~(perpAt(Y,Z,X,Y1,Z1)) | Z1 != Y1)) & (((s_r(U,X,V) | ~(s_col(Y1,Z1,V))) | ~(s_col(Y,Z,U))) | ~(perpAt(Y,Z,X,Y1,Z1)))) & (((((perpAt(Y,Z,X,Y1,Z1) | Y = Z) | ~(s_col(Y,Z,X))) | ~(s_col(Y1,Z1,X))) | s_col(Y,Z,f811(Y,Z,Y1,Z1,X))) | Z1 = Y1)) & (((((perpAt(Y,Z,X,Y1,Z1) | Z = Y) | ~(s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X)))) | ~(s_col(Y1,Z1,X))) | ~(s_col(Y,Z,X))) | Z1 = Y1)) & (((((~(s_col(Y,Z,X)) | ~(s_col(Y1,Z1,X))) | s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X))) | Z1 = Y1) | Y = Z) | perpAt(Y,Z,X,Y1,Z1))) & (Z != Y | ~(perpAt(Y,Z,X,Y1,Z1)))) & (~(perpAt(Y,Z,X,Y1,Z1)) | s_col(Y1,Z1,X)))), inference(nnf_transformation, [status(thm)], [f67])).
1057.00/152.65	fof(f67_sk, plain, ! [Y,Z,X,Y1,Z1,U,V] : (((((((((~(perpAt(Y,Z,X,Y1,Z1)) | s_col(Y,Z,X)) & (~(perpAt(Y,Z,X,Y1,Z1)) | Z1 != Y1)) & (((s_r(U,X,V) | ~(s_col(Y1,Z1,V))) | ~(s_col(Y,Z,U))) | ~(perpAt(Y,Z,X,Y1,Z1)))) & (((((perpAt(Y,Z,X,Y1,Z1) | Y = Z) | ~(s_col(Y,Z,X))) | ~(s_col(Y1,Z1,X))) | s_col(Y,Z,f811(Y,Z,Y1,Z1,X))) | Z1 = Y1)) & (((((perpAt(Y,Z,X,Y1,Z1) | Z = Y) | ~(s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X)))) | ~(s_col(Y1,Z1,X))) | ~(s_col(Y,Z,X))) | Z1 = Y1)) & (((((~(s_col(Y,Z,X)) | ~(s_col(Y1,Z1,X))) | s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X))) | Z1 = Y1) | Y = Z) | perpAt(Y,Z,X,Y1,Z1))) & (Z != Y | ~(perpAt(Y,Z,X,Y1,Z1)))) & (~(perpAt(Y,Z,X,Y1,Z1)) | s_col(Y1,Z1,X)))), inference(skolemisation, [status(esa)], [f67_nnf])).
1057.00/152.65	cnf(c91, plain, ~perpAt(X0,X1,X2,X3,X4) | X4 != X3, inference(cnf_transformation, [status(esa)], [f67_sk])).
1057.00/152.65	cnf(c96, plain, X1 != X0 | ~perpAt(X0,X1,X2,X3,X4), inference(cnf_transformation, [status(esa)], [f67_sk])).
1057.00/152.65	fof(f87, axiom, ! [Xa,Xp,Xb] : ( ( Xa != Xp | ~ sameside(Xa,Xp,Xb) ) & ( ~ sameside(Xa,Xp,Xb) | Xb != Xp ) & ( Xp != c63(Xa,Xp,Xb) | ~ sameside(Xa,Xp,Xb) ) & ( ~ sameside(Xa,Xp,Xb) | s_t(Xb,Xp,c63(Xa,Xp,Xb)) ) & ( ~ sameside(Xa,Xp,Xb) | s_t(Xa,Xp,c63(Xa,Xp,Xb)) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz6_3a)).
1057.00/152.65	fof(f87_nnf, plain, ! [Xa,Xp,Xb] : ((((((Xa != Xp | ~(sameside(Xa,Xp,Xb))) & (~(sameside(Xa,Xp,Xb)) | Xb != Xp)) & (Xp != c63(Xa,Xp,Xb) | ~(sameside(Xa,Xp,Xb)))) & (~(sameside(Xa,Xp,Xb)) | s_t(Xb,Xp,c63(Xa,Xp,Xb)))) & (~(sameside(Xa,Xp,Xb)) | s_t(Xa,Xp,c63(Xa,Xp,Xb))))), inference(nnf_transformation, [status(thm)], [f87])).
1057.00/152.65	fof(f87_sk, plain, ! [Xa,Xp,Xb] : ((((((Xa != Xp | ~(sameside(Xa,Xp,Xb))) & (~(sameside(Xa,Xp,Xb)) | Xb != Xp)) & (Xp != c63(Xa,Xp,Xb) | ~(sameside(Xa,Xp,Xb)))) & (~(sameside(Xa,Xp,Xb)) | s_t(Xb,Xp,c63(Xa,Xp,Xb)))) & (~(sameside(Xa,Xp,Xb)) | s_t(Xa,Xp,c63(Xa,Xp,Xb))))), inference(skolemisation, [status(esa)], [f87_nnf])).
1057.00/152.65	cnf(c120, plain, X0 != X1 | ~sameside(X0,X1,X2), inference(cnf_transformation, [status(esa)], [f87_sk])).
1057.00/152.65	cnf(c121, plain, ~sameside(X0,X1,X2) | X2 != X1, inference(cnf_transformation, [status(esa)], [f87_sk])).
1057.00/152.65	cnf(c122, plain, X1 != c63(X0,X1,X2) | ~sameside(X0,X1,X2), inference(cnf_transformation, [status(esa)], [f87_sk])).
1057.00/152.65	fof(f117, axiom, ! [Xa,Xp,Xb] : ( ( ~ sameside(Xa,Xp,Xb) | s_col(Xa,Xp,Xb) ) & ( ~ s_t(Xa,Xp,Xb) | ~ sameside(Xa,Xp,Xb) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz6_4a)).
1057.00/152.65	fof(f117_nnf, plain, ! [Xa,Xp,Xb] : (((~(sameside(Xa,Xp,Xb)) | s_col(Xa,Xp,Xb)) & (~(s_t(Xa,Xp,Xb)) | ~(sameside(Xa,Xp,Xb))))), inference(nnf_transformation, [status(thm)], [f117])).
1057.00/152.65	fof(f117_sk, plain, ! [Xa,Xp,Xb] : (((~(sameside(Xa,Xp,Xb)) | s_col(Xa,Xp,Xb)) & (~(s_t(Xa,Xp,Xb)) | ~(sameside(Xa,Xp,Xb))))), inference(skolemisation, [status(esa)], [f117_nnf])).
1057.00/152.65	cnf(c168, plain, ~s_t(X0,X1,X2) | ~sameside(X0,X1,X2), inference(cnf_transformation, [status(esa)], [f117_sk])).
1057.00/152.65	cnf(c173, plain, sk4 != sk2, inference(cnf_transformation, [status(esa)], [f118_sk])).
1057.00/152.65	cnf(c175, plain, ~s_e(sk0,sk2,sk3,sk4), inference(cnf_transformation, [status(esa)], [f118_sk])).
1057.00/152.65	fof(f123, axiom, ! [Xa,Xp,Xq,Xb] : ( ~ samesideline(Xa,Xb,Xp,Xq) | ~ opposite(Xa,Xp,Xq,Xb) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz9_9)).
1057.00/152.65	fof(f123_nnf, plain, ! [Xa,Xp,Xq,Xb] : ((~(samesideline(Xa,Xb,Xp,Xq)) | ~(opposite(Xa,Xp,Xq,Xb)))), inference(nnf_transformation, [status(thm)], [f123])).
1057.00/152.65	fof(f123_sk, plain, ! [Xa,Xb,Xp,Xq] : ((~(samesideline(Xa,Xb,Xp,Xq)) | ~(opposite(Xa,Xp,Xq,Xb)))), inference(skolemisation, [status(esa)], [f123_nnf])).
1057.00/152.65	cnf(c184, plain, ~samesideline(X0,X3,X1,X2) | ~opposite(X0,X1,X2,X3), inference(cnf_transformation, [status(esa)], [f123_sk])).
1057.00/152.65	fof(f134, axiom, ! [Xa,Xb,Xp,Xq,Xu,Xc,Xv] : ( ( ~ samesideline(Xa,Xb,Xp,Xq) | ss1(Xa,Xb,Xp,Xq) != ss3(Xa,Xb,Xp,Xq) ) & ( ~ samesideline(Xa,Xb,Xp,Xq) | ss3(Xa,Xb,Xp,Xq) != ss2(Xa,Xb,Xp,Xq) ) & ( ~ samesideline(Xa,Xb,Xp,Xq) | Xq != Xp ) & ( ~ s_col(Xp,Xq,Xb) | ~ samesideline(Xa,Xb,Xp,Xq) ) & ( ~ s_t(Xa,Xu,Xc) | ~ s_t(Xb,Xv,Xc) | ~ s_col(Xp,Xq,Xv) | Xc = Xv | Xa = Xu | s_col(Xp,Xq,Xa) | samesideline(Xa,Xb,Xp,Xq) | s_col(Xp,Xq,Xb) | Xb = Xv | Xu = Xc | Xp = Xq | ~ s_col(Xp,Xq,Xu) ) & ( ~ samesideline(Xa,Xb,Xp,Xq) | ~ s_col(Xp,Xq,Xa) ) & ( ~ samesideline(Xa,Xb,Xp,Xq) | ss2(Xa,Xb,Xp,Xq) != Xb ) & ( ~ samesideline(Xa,Xb,Xp,Xq) | Xa != ss1(Xa,Xb,Xp,Xq) ) & ( s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | ~ samesideline(Xa,Xb,Xp,Xq) ) & ( s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | ~ samesideline(Xa,Xb,Xp,Xq) ) & ( s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq)) | ~ samesideline(Xa,Xb,Xp,Xq) ) & ( ~ samesideline(Xa,Xb,Xp,Xq) | s_col(Xp,Xq,ss1(Xa,Xb,Xp,Xq)) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d_Defn9_7)).
1057.00/152.65	fof(f134_nnf, plain, ! [Xa,Xb,Xp,Xq,Xu,Xc,Xv] : (((((((((((((~(samesideline(Xa,Xb,Xp,Xq)) | ss1(Xa,Xb,Xp,Xq) != ss3(Xa,Xb,Xp,Xq)) & (~(samesideline(Xa,Xb,Xp,Xq)) | ss3(Xa,Xb,Xp,Xq) != ss2(Xa,Xb,Xp,Xq))) & (~(samesideline(Xa,Xb,Xp,Xq)) | Xq != Xp)) & (~(s_col(Xp,Xq,Xb)) | ~(samesideline(Xa,Xb,Xp,Xq)))) & (((((((((((~(s_t(Xa,Xu,Xc)) | ~(s_t(Xb,Xv,Xc))) | ~(s_col(Xp,Xq,Xv))) | Xc = Xv) | Xa = Xu) | s_col(Xp,Xq,Xa)) | samesideline(Xa,Xb,Xp,Xq)) | s_col(Xp,Xq,Xb)) | Xb = Xv) | Xu = Xc) | Xp = Xq) | ~(s_col(Xp,Xq,Xu)))) & (~(samesideline(Xa,Xb,Xp,Xq)) | ~(s_col(Xp,Xq,Xa)))) & (~(samesideline(Xa,Xb,Xp,Xq)) | ss2(Xa,Xb,Xp,Xq) != Xb)) & (~(samesideline(Xa,Xb,Xp,Xq)) | Xa != ss1(Xa,Xb,Xp,Xq))) & (s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | ~(samesideline(Xa,Xb,Xp,Xq)))) & (s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | ~(samesideline(Xa,Xb,Xp,Xq)))) & (s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq)) | ~(samesideline(Xa,Xb,Xp,Xq)))) & (~(samesideline(Xa,Xb,Xp,Xq)) | s_col(Xp,Xq,ss1(Xa,Xb,Xp,Xq))))), inference(nnf_transformation, [status(thm)], [f134])).
1057.00/152.65	fof(f134_sk, plain, ! [Xa,Xb,Xp,Xq,Xu,Xc,Xv] : (((((((((((((~(samesideline(Xa,Xb,Xp,Xq)) | ss1(Xa,Xb,Xp,Xq) != ss3(Xa,Xb,Xp,Xq)) & (~(samesideline(Xa,Xb,Xp,Xq)) | ss3(Xa,Xb,Xp,Xq) != ss2(Xa,Xb,Xp,Xq))) & (~(samesideline(Xa,Xb,Xp,Xq)) | Xq != Xp)) & (~(s_col(Xp,Xq,Xb)) | ~(samesideline(Xa,Xb,Xp,Xq)))) & (((((((((((~(s_t(Xa,Xu,Xc)) | ~(s_t(Xb,Xv,Xc))) | ~(s_col(Xp,Xq,Xv))) | Xc = Xv) | Xa = Xu) | s_col(Xp,Xq,Xa)) | samesideline(Xa,Xb,Xp,Xq)) | s_col(Xp,Xq,Xb)) | Xb = Xv) | Xu = Xc) | Xp = Xq) | ~(s_col(Xp,Xq,Xu)))) & (~(samesideline(Xa,Xb,Xp,Xq)) | ~(s_col(Xp,Xq,Xa)))) & (~(samesideline(Xa,Xb,Xp,Xq)) | ss2(Xa,Xb,Xp,Xq) != Xb)) & (~(samesideline(Xa,Xb,Xp,Xq)) | Xa != ss1(Xa,Xb,Xp,Xq))) & (s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | ~(samesideline(Xa,Xb,Xp,Xq)))) & (s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | ~(samesideline(Xa,Xb,Xp,Xq)))) & (s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq)) | ~(samesideline(Xa,Xb,Xp,Xq)))) & (~(samesideline(Xa,Xb,Xp,Xq)) | s_col(Xp,Xq,ss1(Xa,Xb,Xp,Xq))))), inference(skolemisation, [status(esa)], [f134_nnf])).
1057.00/152.65	cnf(c195, plain, ~samesideline(X0,X1,X2,X3) | ss1(X0,X1,X2,X3) != ss3(X0,X1,X2,X3), inference(cnf_transformation, [status(esa)], [f134_sk])).
1057.00/152.65	cnf(c196, plain, ~samesideline(X0,X1,X2,X3) | ss3(X0,X1,X2,X3) != ss2(X0,X1,X2,X3), inference(cnf_transformation, [status(esa)], [f134_sk])).
1057.00/152.65	cnf(c197, plain, ~samesideline(X0,X1,X2,X3) | X3 != X2, inference(cnf_transformation, [status(esa)], [f134_sk])).
1057.00/152.65	cnf(c198, plain, ~s_col(X2,X3,X1) | ~samesideline(X0,X1,X2,X3), inference(cnf_transformation, [status(esa)], [f134_sk])).
1057.00/152.65	cnf(c200, plain, ~samesideline(X0,X1,X2,X3) | ~s_col(X2,X3,X0), inference(cnf_transformation, [status(esa)], [f134_sk])).
1057.00/152.65	cnf(c201, plain, ~samesideline(X0,X1,X2,X3) | ss2(X0,X1,X2,X3) != X1, inference(cnf_transformation, [status(esa)], [f134_sk])).
1057.00/152.65	cnf(c202, plain, ~samesideline(X0,X1,X2,X3) | X0 != ss1(X0,X1,X2,X3), inference(cnf_transformation, [status(esa)], [f134_sk])).
1057.00/152.65	fof(f145, axiom, beta != alpha, file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz3_13a)).
1057.00/152.65	fof(f145_nnf, plain, beta != alpha, inference(nnf_transformation, [status(thm)], [f145])).
1057.00/152.65	fof(f145_sk, plain, beta != alpha, inference(skolemisation, [status(esa)], [f145_nnf])).
1057.00/152.65	cnf(c219, plain, beta != alpha, inference(cnf_transformation, [status(esa)], [f145_sk])).
1057.00/152.65	fof(f169, axiom, gamma != alpha, file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz3_13c)).
1057.00/152.65	fof(f169_nnf, plain, gamma != alpha, inference(nnf_transformation, [status(thm)], [f169])).
1057.00/152.65	fof(f169_sk, plain, gamma != alpha, inference(skolemisation, [status(esa)], [f169_nnf])).
1057.00/152.65	cnf(c249, plain, gamma != alpha, inference(cnf_transformation, [status(esa)], [f169_sk])).
1057.00/152.65	fof(f198, axiom, ! [Xb,Xa] : ext(Xa,Xb,alpha,gamma) != Xb, file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz3_14b)).
1057.00/152.65	fof(f198_nnf, plain, ! [Xb,Xa] : (ext(Xa,Xb,alpha,gamma) != Xb), inference(nnf_transformation, [status(thm)], [f198])).
1057.00/152.65	fof(f198_sk, plain, ! [Xa,Xb] : (ext(Xa,Xb,alpha,gamma) != Xb), inference(skolemisation, [status(esa)], [f198_nnf])).
1057.00/152.65	cnf(c283, plain, ext(X1,X0,alpha,gamma) != X0, inference(cnf_transformation, [status(esa)], [f198_sk])).
1057.00/152.65	fof(f199, axiom, ! [Xa,Xp,Xb] : ( ( ~ sameside(Xa,Xp,Xb) | Xa != Xp ) & ( Xa = Xp | Xp = xb | sameside(Xa,Xp,Xb) | ~ s_t(Xp,Xa,Xb) ) & ( Xa = Xp | Xp = Xb | sameside(Xa,Xp,Xb) | ~ s_t(Xp,Xb,Xa) ) & ( s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa) | ~ sameside(Xa,Xp,Xb) ) & ( Xb != Xp | ~ sameside(Xa,Xp,Xb) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d_Defn6_1)).
1057.00/152.65	fof(f199_nnf, plain, ! [Xa,Xp,Xb] : ((((((~(sameside(Xa,Xp,Xb)) | Xa != Xp) & (((Xa = Xp | Xp = xb) | sameside(Xa,Xp,Xb)) | ~(s_t(Xp,Xa,Xb)))) & (((Xa = Xp | Xp = Xb) | sameside(Xa,Xp,Xb)) | ~(s_t(Xp,Xb,Xa)))) & ((s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa)) | ~(sameside(Xa,Xp,Xb)))) & (Xb != Xp | ~(sameside(Xa,Xp,Xb))))), inference(nnf_transformation, [status(thm)], [f199])).
1057.00/152.65	fof(f199_sk, plain, ! [Xa,Xp,Xb] : ((((((~(sameside(Xa,Xp,Xb)) | Xa != Xp) & (((Xa = Xp | Xp = xb) | sameside(Xa,Xp,Xb)) | ~(s_t(Xp,Xa,Xb)))) & (((Xa = Xp | Xp = Xb) | sameside(Xa,Xp,Xb)) | ~(s_t(Xp,Xb,Xa)))) & ((s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa)) | ~(sameside(Xa,Xp,Xb)))) & (Xb != Xp | ~(sameside(Xa,Xp,Xb))))), inference(skolemisation, [status(esa)], [f199_nnf])).
1057.00/152.65	cnf(c284, plain, ~sameside(X0,X1,X2) | X0 != X1, inference(cnf_transformation, [status(esa)], [f199_sk])).
1057.00/152.65	cnf(c288, plain, X2 != X1 | ~sameside(X0,X1,X2), inference(cnf_transformation, [status(esa)], [f199_sk])).
1057.00/152.65	fof(f202, axiom, beta != gamma, file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz3_13b)).
1057.00/152.65	fof(f202_nnf, plain, beta != gamma, inference(nnf_transformation, [status(thm)], [f202])).
1057.00/152.65	fof(f202_sk, plain, beta != gamma, inference(skolemisation, [status(esa)], [f202_nnf])).
1057.00/152.65	cnf(c291, plain, beta != gamma, inference(cnf_transformation, [status(esa)], [f202_sk])).
1057.00/152.65	fof(f209, axiom, ! [Xa,Xb,Xc,Xp,Xq] : ( ( ~ perpAt(Xa,Xb,Xc,Xp,Xq) | Xb != Xa ) & ( ~ perpAt(Xa,Xb,Xc,Xp,Xq) | Xp != Xq ) & ( ~ perpAt(Xa,Xb,Xc,Xp,Xq) | s_col(Xa,Xb,Xc) ) & ( s_col(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc)) | ~ perpAt(Xa,Xb,Xc,Xp,Xq) ) & ( ~ perpAt(Xa,Xb,Xc,Xp,Xq) | g813(Xa,Xb,Xp,Xq,Xc) != Xc ) & ( s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc)) | ~ perpAt(Xa,Xb,Xc,Xp,Xq) ) & ( ~ perpAt(Xa,Xb,Xc,Xp,Xq) | Xc != f813(Xa,Xb,Xp,Xq,Xc) ) & ( ~ perpAt(Xa,Xb,Xc,Xp,Xq) | s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc)) ) & ( s_col(Xp,Xq,Xc) | ~ perpAt(Xa,Xb,Xc,Xp,Xq) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', aSatz8_13a)).
1057.00/152.65	fof(f209_nnf, plain, ! [Xa,Xb,Xc,Xp,Xq] : ((((((((((~(perpAt(Xa,Xb,Xc,Xp,Xq)) | Xb != Xa) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | Xp != Xq)) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | s_col(Xa,Xb,Xc))) & (s_col(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc)) | ~(perpAt(Xa,Xb,Xc,Xp,Xq)))) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | g813(Xa,Xb,Xp,Xq,Xc) != Xc)) & (s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc)) | ~(perpAt(Xa,Xb,Xc,Xp,Xq)))) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | Xc != f813(Xa,Xb,Xp,Xq,Xc))) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc)))) & (s_col(Xp,Xq,Xc) | ~(perpAt(Xa,Xb,Xc,Xp,Xq))))), inference(nnf_transformation, [status(thm)], [f209])).
1057.00/152.65	fof(f209_sk, plain, ! [Xa,Xb,Xc,Xp,Xq] : ((((((((((~(perpAt(Xa,Xb,Xc,Xp,Xq)) | Xb != Xa) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | Xp != Xq)) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | s_col(Xa,Xb,Xc))) & (s_col(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc)) | ~(perpAt(Xa,Xb,Xc,Xp,Xq)))) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | g813(Xa,Xb,Xp,Xq,Xc) != Xc)) & (s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc)) | ~(perpAt(Xa,Xb,Xc,Xp,Xq)))) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | Xc != f813(Xa,Xb,Xp,Xq,Xc))) & (~(perpAt(Xa,Xb,Xc,Xp,Xq)) | s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc)))) & (s_col(Xp,Xq,Xc) | ~(perpAt(Xa,Xb,Xc,Xp,Xq))))), inference(skolemisation, [status(esa)], [f209_nnf])).
1057.00/152.65	cnf(c298, plain, ~perpAt(X0,X1,X2,X3,X4) | X1 != X0, inference(cnf_transformation, [status(esa)], [f209_sk])).
1057.00/152.65	cnf(c299, plain, ~perpAt(X0,X1,X2,X3,X4) | X3 != X4, inference(cnf_transformation, [status(esa)], [f209_sk])).
1057.00/152.65	cnf(c302, plain, ~perpAt(X0,X1,X2,X3,X4) | g813(X0,X1,X3,X4,X2) != X2, inference(cnf_transformation, [status(esa)], [f209_sk])).
1057.00/152.65	cnf(c304, plain, ~perpAt(X0,X1,X2,X3,X4) | X2 != f813(X0,X1,X3,X4,X2), inference(cnf_transformation, [status(esa)], [f209_sk])).
1057.00/152.65	cnf(goal_0, negated_conjecture, true != false, inference(equality_encoding, [status(esa)], [c9, c10, c11, c70, c73, c81, c91, c96, c120, c121, c122, c168, c173, c175, c184, c195, c196, c197, c198, c200, c201, c202, c219, c249, c283, c284, c288, c291, c298, c299, c302, c304])).
1057.00/152.65	cnf(g0_0, plain, true != true, inference(rw, [status(thm)], [goal_0, t673544])).
1057.00/152.65	cnf(contradiction_0, plain, $false, inference(trivial_inequality_removal, [status(thm)], [g0_0])).
1057.00/152.65	% SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
1057.00/152.65	EOF