%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP685-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:28:03 PM UTC 2026
% Result : Unsatisfiable 7.29s 1.61s
% Output : CNFRefutation 7.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 8
% Syntax : Number of clauses : 123 ( 123 unt; 0 nHn; 5 RR)
% Number of literals : 123 ( 122 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 272 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t5,axiom,
ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t2,axiom,
mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t14,plain,
ld(X1,mult(X1,X2)) = mult(X1,ld(X1,X2)),
inference(orient,[status(thm)],[t2]) ).
cnf(t1194,plain,
mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4),
inference(step,[status(thm)],[t5,t14]) ).
cnf(t1195,plain,
mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4))) = mult(mult(X1,ld(X1,X3)),X4),
inference(step,[status(thm)],[t1194,t14]) ).
cnf(t21,plain,
mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4))) = mult(mult(X1,ld(X1,X3)),X4),
inference(orient,[status(thm)],[t1195]) ).
cnf(t22,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(mult(X1,ld(X1,X4)),ld(ld(X1,mult(X1,X4)),mult(X2,X3))),
inference(cp,[status(thm)],[t21,t14]) ).
cnf(t1238,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(mult(X1,ld(X1,X4)),ld(mult(X1,ld(X1,X4)),mult(X2,X3))),
inference(step,[status(thm)],[t22,t14]) ).
cnf(t713,plain,
mult(mult(X1,ld(X1,X2)),ld(mult(X1,ld(X1,X2)),mult(X3,X4))) = mult(mult(X1,ld(X1,X3)),X4),
inference(orient,[status(thm)],[t1238]) ).
cnf(t0,axiom,
ld(X1,mult(X1,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t8,plain,
ld(X1,mult(X1,X1)) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t1193,plain,
mult(X1,ld(X1,X1)) = X1,
inference(step,[status(thm)],[t8,t14]) ).
cnf(t15,plain,
mult(X1,ld(X1,X1)) = X1,
inference(rw,[status(thm)],[t1193]) ).
cnf(t33,plain,
mult(X1,ld(X1,X1)) = X1,
inference(orient,[status(thm)],[t15]) ).
cnf(t35,plain,
mult(X1,ld(X1,ld(X1,X1))) = ld(X1,X1),
inference(cp,[status(thm)],[t14,t33]) ).
cnf(t4,axiom,
rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t1196,plain,
rd(mult(rd(X1,X1),X2),X2) = mult(X1,ld(X1,ld(X2,X2))),
inference(step,[status(thm)],[t4,t14]) ).
cnf(t29,plain,
mult(X1,ld(X1,ld(X2,X2))) = rd(mult(rd(X1,X1),X2),X2),
inference(orient,[status(thm)],[t1196]) ).
cnf(t1197,plain,
rd(mult(rd(X1,X1),X1),X1) = ld(X1,X1),
inference(step,[status(thm)],[t35,t29]) ).
cnf(t3,axiom,
rd(mult(X1,X2),X2) = mult(rd(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2),
inference(orient,[status(thm)],[t3]) ).
cnf(t1198,plain,
rd(rd(mult(X1,X1),X1),X1) = ld(X1,X1),
inference(step,[status(thm)],[t1197,t16]) ).
cnf(t1,axiom,
rd(mult(X1,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
rd(mult(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t1199,plain,
rd(X1,X1) = ld(X1,X1),
inference(step,[status(thm)],[t1198,t7]) ).
cnf(t38,plain,
ld(X1,X1) = rd(X1,X1),
inference(orient,[status(thm)],[t1199]) ).
cnf(t717,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(mult(X1,rd(X1,X1)),ld(mult(X1,ld(X1,X1)),mult(X2,X3))),
inference(cp,[status(thm)],[t713,t38]) ).
cnf(t1200,plain,
mult(X1,rd(X1,X1)) = X1,
inference(step,[status(thm)],[t33,t38]) ).
cnf(t41,plain,
mult(X1,rd(X1,X1)) = X1,
inference(rw,[status(thm)],[t1200]) ).
cnf(t43,plain,
mult(X1,rd(X1,X1)) = X1,
inference(orient,[status(thm)],[t41]) ).
cnf(t1239,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X1,ld(mult(X1,ld(X1,X1)),mult(X2,X3))),
inference(step,[status(thm)],[t717,t43]) ).
cnf(t1240,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X1,ld(mult(X1,rd(X1,X1)),mult(X2,X3))),
inference(step,[status(thm)],[t1239,t38]) ).
cnf(t1241,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X1,ld(X1,mult(X2,X3))),
inference(step,[status(thm)],[t1240,t43]) ).
cnf(t769,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X1,ld(X1,mult(X2,X3))),
inference(orient,[status(thm)],[t1241]) ).
cnf(t782,plain,
mult(X1,ld(X1,mult(X1,X2))) = mult(mult(X1,rd(X1,X1)),X2),
inference(cp,[status(thm)],[t769,t38]) ).
cnf(t1248,plain,
mult(X1,mult(X1,ld(X1,X2))) = mult(mult(X1,rd(X1,X1)),X2),
inference(step,[status(thm)],[t782,t14]) ).
cnf(t1249,plain,
mult(X1,mult(X1,ld(X1,X2))) = mult(X1,X2),
inference(step,[status(thm)],[t1248,t43]) ).
cnf(t822,plain,
mult(X1,mult(X1,ld(X1,X2))) = mult(X1,X2),
inference(orient,[status(thm)],[t1249]) ).
cnf(t1201,plain,
mult(X1,ld(X1,rd(X2,X2))) = rd(mult(rd(X1,X1),X2),X2),
inference(step,[status(thm)],[t29,t38]) ).
cnf(t42,plain,
mult(X1,ld(X1,rd(X2,X2))) = rd(mult(rd(X1,X1),X2),X2),
inference(rw,[status(thm)],[t1201]) ).
cnf(t86,plain,
mult(X1,ld(X1,rd(X2,X2))) = rd(mult(rd(X1,X1),X2),X2),
inference(orient,[status(thm)],[t42]) ).
cnf(t6,axiom,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)),
inference(orient,[status(thm)],[t6]) ).
cnf(t10,plain,
mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),rd(mult(X3,X3),X3)),
inference(cp,[status(thm)],[t9,t7]) ).
cnf(t1203,plain,
mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),X3),
inference(step,[status(thm)],[t10,t7]) ).
cnf(t57,plain,
mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),X3),
inference(orient,[status(thm)],[t1203]) ).
cnf(t1204,plain,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4),
inference(step,[status(thm)],[t9,t57]) ).
cnf(t58,plain,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4),
inference(orient,[status(thm)],[t1204]) ).
cnf(t87,plain,
rd(mult(rd(rd(X1,X1),rd(X1,X1)),X1),X1) = mult(rd(X1,X1),rd(rd(X1,X1),rd(X1,X1))),
inference(cp,[status(thm)],[t86,t38]) ).
cnf(t1208,plain,
rd(mult(rd(rd(X1,X1),rd(X1,X1)),X1),X1) = rd(X1,X1),
inference(step,[status(thm)],[t87,t43]) ).
cnf(t109,plain,
rd(mult(rd(rd(X1,X1),rd(X1,X1)),X1),X1) = rd(X1,X1),
inference(orient,[status(thm)],[t1208]) ).
cnf(t111,plain,
rd(mult(mult(rd(rd(X1,X1),rd(X1,X1)),X1),X1),X1) = mult(rd(X1,X1),X1),
inference(cp,[status(thm)],[t16,t109]) ).
cnf(t61,plain,
rd(mult(mult(X1,X2),X2),X2) = mult(X1,X2),
inference(cp,[status(thm)],[t57,t7]) ).
cnf(t75,plain,
rd(mult(mult(X1,X2),X2),X2) = mult(X1,X2),
inference(orient,[status(thm)],[t61]) ).
cnf(t1209,plain,
mult(rd(rd(X1,X1),rd(X1,X1)),X1) = mult(rd(X1,X1),X1),
inference(step,[status(thm)],[t111,t75]) ).
cnf(t1210,plain,
mult(rd(rd(X1,X1),rd(X1,X1)),X1) = rd(mult(X1,X1),X1),
inference(step,[status(thm)],[t1209,t16]) ).
cnf(t1211,plain,
mult(rd(rd(X1,X1),rd(X1,X1)),X1) = X1,
inference(step,[status(thm)],[t1210,t7]) ).
cnf(t115,plain,
mult(rd(rd(X1,X1),rd(X1,X1)),X1) = X1,
inference(orient,[status(thm)],[t1211]) ).
cnf(t118,plain,
rd(mult(mult(rd(rd(X1,X1),rd(X1,X1)),X1),X2),X2) = rd(mult(X1,rd(X3,X2)),rd(X3,X2)),
inference(cp,[status(thm)],[t58,t115]) ).
cnf(t1214,plain,
rd(mult(X1,X2),X2) = rd(mult(X1,rd(X3,X2)),rd(X3,X2)),
inference(step,[status(thm)],[t118,t115]) ).
cnf(t128,plain,
rd(mult(X1,rd(X2,X3)),rd(X2,X3)) = rd(mult(X1,X3),X3),
inference(orient,[status(thm)],[t1214]) ).
cnf(t39,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(rd(X1,X1),ld(ld(X1,X1),mult(X2,X3))),
inference(cp,[status(thm)],[t21,t38]) ).
cnf(t1222,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(rd(X1,X1),ld(rd(X1,X1),mult(X2,X3))),
inference(step,[status(thm)],[t39,t38]) ).
cnf(t339,plain,
mult(rd(X1,X1),ld(rd(X1,X1),mult(X2,X3))) = mult(mult(X1,ld(X1,X2)),X3),
inference(orient,[status(thm)],[t1222]) ).
cnf(t132,plain,
rd(mult(rd(X1,rd(X2,X3)),X3),X3) = rd(rd(mult(X1,rd(X2,X3)),rd(X2,X3)),rd(X2,X3)),
inference(cp,[status(thm)],[t128,t16]) ).
cnf(t76,plain,
mult(X1,rd(X2,X3)) = rd(mult(mult(X1,rd(X2,X3)),X3),X3),
inference(cp,[status(thm)],[t75,t58]) ).
cnf(t93,plain,
rd(mult(mult(X1,rd(X2,X3)),X3),X3) = mult(X1,rd(X2,X3)),
inference(orient,[status(thm)],[t76]) ).
cnf(t121,plain,
mult(rd(rd(rd(X1,X2),rd(X1,X2)),rd(rd(X1,X2),rd(X1,X2))),rd(X1,X2)) = rd(mult(rd(X1,X2),X2),X2),
inference(cp,[status(thm)],[t93,t115]) ).
cnf(t1212,plain,
rd(X1,X2) = rd(mult(rd(X1,X2),X2),X2),
inference(step,[status(thm)],[t121,t115]) ).
cnf(t1213,plain,
rd(X1,X2) = rd(rd(mult(X1,X2),X2),X2),
inference(step,[status(thm)],[t1212,t16]) ).
cnf(t122,plain,
rd(rd(mult(X1,X2),X2),X2) = rd(X1,X2),
inference(orient,[status(thm)],[t1213]) ).
cnf(t1215,plain,
rd(mult(rd(X1,rd(X2,X3)),X3),X3) = rd(X1,rd(X2,X3)),
inference(step,[status(thm)],[t132,t122]) ).
cnf(t145,plain,
rd(mult(rd(X1,rd(X2,X3)),X3),X3) = rd(X1,rd(X2,X3)),
inference(orient,[status(thm)],[t1215]) ).
cnf(t147,plain,
rd(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(cp,[status(thm)],[t145,t115]) ).
cnf(t158,plain,
rd(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(orient,[status(thm)],[t147]) ).
cnf(t159,plain,
rd(X1,X1) = mult(rd(X1,X1),rd(X1,X1)),
inference(cp,[status(thm)],[t43,t158]) ).
cnf(t161,plain,
mult(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(orient,[status(thm)],[t159]) ).
cnf(t353,plain,
mult(mult(X1,ld(X1,rd(X2,X2))),rd(X2,X2)) = mult(rd(X1,X1),ld(rd(X1,X1),rd(X2,X2))),
inference(cp,[status(thm)],[t339,t161]) ).
cnf(t1223,plain,
mult(rd(mult(rd(X1,X1),X2),X2),rd(X2,X2)) = mult(rd(X1,X1),ld(rd(X1,X1),rd(X2,X2))),
inference(step,[status(thm)],[t353,t86]) ).
cnf(t140,plain,
rd(mult(mult(X1,rd(X2,X3)),rd(X2,X3)),rd(X2,X3)) = mult(rd(mult(X1,X3),X3),rd(X2,X3)),
inference(cp,[status(thm)],[t16,t128]) ).
cnf(t1217,plain,
rd(mult(mult(X1,rd(X2,X3)),X3),X3) = mult(rd(mult(X1,X3),X3),rd(X2,X3)),
inference(step,[status(thm)],[t140,t58]) ).
cnf(t1218,plain,
mult(X1,rd(X2,X3)) = mult(rd(mult(X1,X3),X3),rd(X2,X3)),
inference(step,[status(thm)],[t1217,t93]) ).
cnf(t180,plain,
mult(rd(mult(X1,X2),X2),rd(X3,X2)) = mult(X1,rd(X3,X2)),
inference(orient,[status(thm)],[t1218]) ).
cnf(t1224,plain,
mult(rd(X1,X1),rd(X2,X2)) = mult(rd(X1,X1),ld(rd(X1,X1),rd(X2,X2))),
inference(step,[status(thm)],[t1223,t180]) ).
cnf(t1225,plain,
mult(rd(X1,X1),rd(X2,X2)) = rd(mult(rd(rd(X1,X1),rd(X1,X1)),X2),X2),
inference(step,[status(thm)],[t1224,t86]) ).
cnf(t1226,plain,
mult(rd(X1,X1),rd(X2,X2)) = rd(mult(rd(X1,X1),X2),X2),
inference(step,[status(thm)],[t1225,t158]) ).
cnf(t375,plain,
mult(rd(X1,X1),rd(X2,X2)) = rd(mult(rd(X1,X1),X2),X2),
inference(orient,[status(thm)],[t1226]) ).
cnf(t389,plain,
rd(mult(rd(X1,X1),X2),X2) = rd(rd(mult(rd(X1,X1),X2),X2),rd(X2,X2)),
inference(cp,[status(thm)],[t128,t375]) ).
cnf(t141,plain,
rd(X1,rd(X2,X3)) = rd(rd(mult(X1,X3),X3),rd(X2,X3)),
inference(cp,[status(thm)],[t122,t128]) ).
cnf(t197,plain,
rd(rd(mult(X1,X2),X2),rd(X3,X2)) = rd(X1,rd(X3,X2)),
inference(orient,[status(thm)],[t141]) ).
cnf(t1227,plain,
rd(mult(rd(X1,X1),X2),X2) = rd(rd(X1,X1),rd(X2,X2)),
inference(step,[status(thm)],[t389,t197]) ).
cnf(t396,plain,
rd(mult(rd(X1,X1),X2),X2) = rd(rd(X1,X1),rd(X2,X2)),
inference(orient,[status(thm)],[t1227]) ).
cnf(t1228,plain,
mult(X1,ld(X1,rd(X2,X2))) = rd(rd(X1,X1),rd(X2,X2)),
inference(step,[status(thm)],[t86,t396]) ).
cnf(t397,plain,
mult(X1,ld(X1,rd(X2,X2))) = rd(rd(X1,X1),rd(X2,X2)),
inference(orient,[status(thm)],[t1228]) ).
cnf(t824,plain,
mult(X1,rd(X2,X2)) = mult(X1,rd(rd(X1,X1),rd(X2,X2))),
inference(cp,[status(thm)],[t822,t397]) ).
cnf(t390,plain,
rd(mult(mult(X1,rd(X2,X2)),rd(X3,X3)),rd(X3,X3)) = mult(X1,rd(rd(mult(rd(X2,X2),X3),X3),rd(X3,X3))),
inference(cp,[status(thm)],[t57,t375]) ).
cnf(t1234,plain,
rd(mult(mult(X1,rd(X2,X2)),X3),X3) = mult(X1,rd(rd(mult(rd(X2,X2),X3),X3),rd(X3,X3))),
inference(step,[status(thm)],[t390,t58]) ).
cnf(t1235,plain,
rd(mult(mult(X1,rd(X2,X2)),X3),X3) = mult(X1,rd(rd(X2,X2),rd(X3,X3))),
inference(step,[status(thm)],[t1234,t197]) ).
cnf(t451,plain,
mult(X1,rd(rd(X2,X2),rd(X3,X3))) = rd(mult(mult(X1,rd(X2,X2)),X3),X3),
inference(orient,[status(thm)],[t1235]) ).
cnf(t1253,plain,
mult(X1,rd(X2,X2)) = rd(mult(mult(X1,rd(X1,X1)),X2),X2),
inference(step,[status(thm)],[t824,t451]) ).
cnf(t1254,plain,
mult(X1,rd(X2,X2)) = rd(mult(X1,X2),X2),
inference(step,[status(thm)],[t1253,t43]) ).
cnf(t855,plain,
mult(X1,rd(X2,X2)) = rd(mult(X1,X2),X2),
inference(orient,[status(thm)],[t1254]) ).
cnf(t859,plain,
rd(mult(rd(X1,rd(X2,X2)),X2),X2) = rd(mult(X1,rd(X2,X2)),rd(X2,X2)),
inference(cp,[status(thm)],[t855,t16]) ).
cnf(t1257,plain,
rd(X1,rd(X2,X2)) = rd(mult(X1,rd(X2,X2)),rd(X2,X2)),
inference(step,[status(thm)],[t859,t145]) ).
cnf(t1258,plain,
rd(X1,rd(X2,X2)) = rd(mult(X1,X2),X2),
inference(step,[status(thm)],[t1257,t128]) ).
cnf(t888,plain,
rd(mult(X1,X2),X2) = rd(X1,rd(X2,X2)),
inference(orient,[status(thm)],[t1258]) ).
cnf(t136,plain,
rd(mult(X1,X2),X2) = rd(mult(X1,mult(X3,X2)),rd(mult(mult(X3,X2),X2),X2)),
inference(cp,[status(thm)],[t128,t75]) ).
cnf(t1216,plain,
rd(mult(X1,X2),X2) = rd(mult(X1,mult(X3,X2)),mult(X3,X2)),
inference(step,[status(thm)],[t136,t75]) ).
cnf(t163,plain,
rd(mult(X1,mult(X2,X3)),mult(X2,X3)) = rd(mult(X1,X3),X3),
inference(orient,[status(thm)],[t1216]) ).
cnf(t1273,plain,
rd(X1,rd(mult(X2,X3),mult(X2,X3))) = rd(mult(X1,X3),X3),
inference(step,[status(thm)],[t163,t888]) ).
cnf(t1274,plain,
rd(X1,rd(mult(X2,X3),mult(X2,X3))) = rd(X1,rd(X3,X3)),
inference(step,[status(thm)],[t1273,t888]) ).
cnf(t912,plain,
rd(X1,rd(mult(X2,X3),mult(X2,X3))) = rd(X1,rd(X3,X3)),
inference(rw,[status(thm)],[t1274]) ).
cnf(t1012,plain,
rd(X1,rd(mult(X2,X3),mult(X2,X3))) = rd(X1,rd(X3,X3)),
inference(orient,[status(thm)],[t912]) ).
cnf(t1017,plain,
rd(X1,rd(mult(X2,ld(X2,X3)),mult(X2,ld(X2,X3)))) = rd(X1,rd(mult(X2,X3),mult(X2,mult(X2,ld(X2,X3))))),
inference(cp,[status(thm)],[t1012,t822]) ).
cnf(t1298,plain,
rd(X1,rd(ld(X2,X3),ld(X2,X3))) = rd(X1,rd(mult(X2,X3),mult(X2,mult(X2,ld(X2,X3))))),
inference(step,[status(thm)],[t1017,t1012]) ).
cnf(t1299,plain,
rd(X1,rd(ld(X2,X3),ld(X2,X3))) = rd(X1,rd(mult(X2,X3),mult(X2,X3))),
inference(step,[status(thm)],[t1298,t822]) ).
cnf(t1300,plain,
rd(X1,rd(ld(X2,X3),ld(X2,X3))) = rd(X1,rd(X3,X3)),
inference(step,[status(thm)],[t1299,t1012]) ).
cnf(t1152,plain,
rd(X1,rd(ld(X2,X3),ld(X2,X3))) = rd(X1,rd(X3,X3)),
inference(orient,[status(thm)],[t1300]) ).
cnf(goal_0,negated_conjecture,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
rd(x6,rd(ld(x7,x8),ld(x7,x8))) != rd(mult(x6,x8),x8),
inference(rw,[status(thm)],[goal_0,t888]) ).
cnf(g0_1,plain,
rd(x6,rd(x8,x8)) != rd(mult(x6,x8),x8),
inference(rw,[status(thm)],[g0_0,t1152]) ).
cnf(g0_2,plain,
rd(x6,rd(x8,x8)) != rd(x6,rd(x8,x8)),
inference(rw,[status(thm)],[g0_1,t888]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP685-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 15:41:47 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.29/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.29/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------