%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP660-14 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 01:27:57 PM UTC 2026
% Result : Unsatisfiable 5.06s 1.04s
% Output : CNFRefutation 5.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 6
% Syntax : Number of clauses : 167 ( 167 unt; 0 nHn; 4 RR)
% Number of literals : 167 ( 166 equ; 3 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 333 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
rd(mult(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t1,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t8,plain,
X1 = rd(X2,ld(X1,X2)),
inference(cp,[status(thm)],[t7,t5]) ).
cnf(t19,plain,
rd(X1,ld(X2,X1)) = X2,
inference(orient,[status(thm)],[t8]) ).
cnf(t2,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
mult(rd(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t4,axiom,
mult(mult(mult(X1,X2),X3),X1) = mult(X1,mult(X2,mult(X3,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
mult(mult(mult(X1,X2),X3),X1) = mult(X1,mult(X2,mult(X3,X1))),
inference(orient,[status(thm)],[t4]) ).
cnf(t13,plain,
mult(X1,mult(ld(X1,X2),mult(X3,X1))) = mult(mult(X2,X3),X1),
inference(cp,[status(thm)],[t11,t5]) ).
cnf(t21,plain,
mult(X1,mult(ld(X1,X2),mult(X3,X1))) = mult(mult(X2,X3),X1),
inference(orient,[status(thm)],[t13]) ).
cnf(t25,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(X3,mult(ld(X3,X1),X2)),
inference(cp,[status(thm)],[t21,t6]) ).
cnf(t31,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(X3,mult(ld(X3,X1),X2)),
inference(orient,[status(thm)],[t25]) ).
cnf(t36,plain,
mult(X1,rd(X2,X3)) = rd(mult(X3,mult(ld(X3,X1),X2)),X3),
inference(cp,[status(thm)],[t7,t31]) ).
cnf(t81,plain,
rd(mult(X1,mult(ld(X1,X2),X3)),X1) = mult(X2,rd(X3,X1)),
inference(orient,[status(thm)],[t36]) ).
cnf(t82,plain,
mult(X1,rd(ld(ld(X2,X1),X3),X2)) = rd(mult(X2,X3),X2),
inference(cp,[status(thm)],[t81,t5]) ).
cnf(t173,plain,
mult(X1,rd(ld(ld(X2,X1),X3),X2)) = rd(mult(X2,X3),X2),
inference(orient,[status(thm)],[t82]) ).
cnf(t179,plain,
rd(ld(ld(X1,X2),X3),X1) = ld(X2,rd(mult(X1,X3),X1)),
inference(cp,[status(thm)],[t9,t173]) ).
cnf(t191,plain,
ld(X1,rd(mult(X2,X3),X2)) = rd(ld(ld(X2,X1),X3),X2),
inference(orient,[status(thm)],[t179]) ).
cnf(t193,plain,
rd(ld(ld(X1,X2),X1),X1) = ld(X2,X1),
inference(cp,[status(thm)],[t191,t7]) ).
cnf(t214,plain,
rd(ld(ld(X1,X2),X1),X1) = ld(X2,X1),
inference(orient,[status(thm)],[t193]) ).
cnf(t222,plain,
ld(ld(X1,X2),X1) = mult(ld(X2,X1),X1),
inference(cp,[status(thm)],[t6,t214]) ).
cnf(t245,plain,
ld(ld(X1,X2),X1) = mult(ld(X2,X1),X1),
inference(orient,[status(thm)],[t222]) ).
cnf(t252,plain,
ld(X1,X2) = rd(X1,mult(ld(X2,X1),X1)),
inference(cp,[status(thm)],[t19,t245]) ).
cnf(t289,plain,
rd(X1,mult(ld(X2,X1),X1)) = ld(X1,X2),
inference(orient,[status(thm)],[t252]) ).
cnf(t10,plain,
X1 = ld(rd(X2,X1),X2),
inference(cp,[status(thm)],[t9,t6]) ).
cnf(t20,plain,
ld(rd(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t10]) ).
cnf(t294,plain,
ld(X1,rd(X1,X2)) = rd(X1,mult(X2,X1)),
inference(cp,[status(thm)],[t289,t20]) ).
cnf(t298,plain,
ld(X1,rd(X1,X2)) = rd(X1,mult(X2,X1)),
inference(orient,[status(thm)],[t294]) ).
cnf(t14,plain,
mult(rd(X1,X2),mult(X2,mult(X3,rd(X1,X2)))) = mult(mult(X1,X3),rd(X1,X2)),
inference(cp,[status(thm)],[t11,t6]) ).
cnf(t1131,plain,
mult(rd(X1,X2),mult(X2,mult(X3,rd(X1,X2)))) = mult(mult(X1,X3),rd(X1,X2)),
inference(orient,[status(thm)],[t14]) ).
cnf(t217,plain,
ld(mult(X1,X2),X1) = rd(ld(X2,X1),X1),
inference(cp,[status(thm)],[t214,t9]) ).
cnf(t226,plain,
ld(mult(X1,X2),X1) = rd(ld(X2,X1),X1),
inference(orient,[status(thm)],[t217]) ).
cnf(t237,plain,
mult(X1,X2) = rd(X1,rd(ld(X2,X1),X1)),
inference(cp,[status(thm)],[t19,t226]) ).
cnf(t259,plain,
rd(X1,rd(ld(X2,X1),X1)) = mult(X1,X2),
inference(orient,[status(thm)],[t237]) ).
cnf(t264,plain,
mult(X1,rd(X1,X2)) = rd(X1,rd(X2,X1)),
inference(cp,[status(thm)],[t259,t20]) ).
cnf(t268,plain,
mult(X1,rd(X1,X2)) = rd(X1,rd(X2,X1)),
inference(orient,[status(thm)],[t264]) ).
cnf(t299,plain,
rd(mult(X1,X2),mult(X1,mult(X1,X2))) = rd(ld(ld(X1,mult(X1,X2)),X2),X1),
inference(cp,[status(thm)],[t298,t191]) ).
cnf(t9539,plain,
rd(mult(X1,X2),mult(X1,mult(X1,X2))) = rd(ld(X2,X2),X1),
inference(step,[status(thm)],[t299,t9]) ).
cnf(t1002,plain,
rd(mult(X1,X2),mult(X1,mult(X1,X2))) = rd(ld(X2,X2),X1),
inference(orient,[status(thm)],[t9539]) ).
cnf(t26,plain,
mult(ld(X1,X2),mult(X3,X1)) = ld(X1,mult(mult(X2,X3),X1)),
inference(cp,[status(thm)],[t9,t21]) ).
cnf(t41,plain,
ld(X1,mult(mult(X2,X3),X1)) = mult(ld(X1,X2),mult(X3,X1)),
inference(orient,[status(thm)],[t26]) ).
cnf(t45,plain,
mult(ld(X1,X2),mult(ld(X2,X3),X1)) = ld(X1,mult(X3,X1)),
inference(cp,[status(thm)],[t41,t5]) ).
cnf(t89,plain,
mult(ld(X1,X2),mult(ld(X2,X3),X1)) = ld(X1,mult(X3,X1)),
inference(orient,[status(thm)],[t45]) ).
cnf(t1017,plain,
rd(ld(X1,X1),ld(X1,X1)) = rd(mult(ld(X1,X1),X1),ld(X1,mult(X1,X1))),
inference(cp,[status(thm)],[t1002,t89]) ).
cnf(t9540,plain,
rd(ld(X1,X1),ld(X1,X1)) = rd(mult(ld(X1,X1),X1),X1),
inference(step,[status(thm)],[t1017,t9]) ).
cnf(t9541,plain,
rd(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(step,[status(thm)],[t9540,t7]) ).
cnf(t1050,plain,
rd(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(orient,[status(thm)],[t9541]) ).
cnf(t1059,plain,
rd(ld(X1,X1),rd(ld(X1,X1),ld(X1,X1))) = mult(ld(X1,X1),ld(X1,X1)),
inference(cp,[status(thm)],[t268,t1050]) ).
cnf(t9542,plain,
rd(ld(X1,X1),ld(X1,X1)) = mult(ld(X1,X1),ld(X1,X1)),
inference(step,[status(thm)],[t1059,t1050]) ).
cnf(t9543,plain,
ld(X1,X1) = mult(ld(X1,X1),ld(X1,X1)),
inference(step,[status(thm)],[t9542,t1050]) ).
cnf(t1074,plain,
mult(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(orient,[status(thm)],[t9543]) ).
cnf(t1101,plain,
mult(X1,rd(ld(X1,X1),X1)) = rd(mult(X1,ld(X1,X1)),X1),
inference(cp,[status(thm)],[t81,t1074]) ).
cnf(t16,plain,
mult(mult(X1,X2),X3) = rd(mult(X1,mult(X2,mult(X3,X1))),X1),
inference(cp,[status(thm)],[t7,t11]) ).
cnf(t52,plain,
rd(mult(X1,mult(X2,mult(X3,X1))),X1) = mult(mult(X1,X2),X3),
inference(orient,[status(thm)],[t16]) ).
cnf(t56,plain,
mult(mult(X1,rd(X2,mult(X3,X1))),X3) = rd(mult(X1,X2),X1),
inference(cp,[status(thm)],[t52,t6]) ).
cnf(t125,plain,
mult(mult(X1,rd(X2,mult(X3,X1))),X3) = rd(mult(X1,X2),X1),
inference(orient,[status(thm)],[t56]) ).
cnf(t138,plain,
mult(X1,rd(X2,mult(X3,X1))) = rd(rd(mult(X1,X2),X1),X3),
inference(cp,[status(thm)],[t7,t125]) ).
cnf(t148,plain,
mult(X1,rd(X2,mult(X3,X1))) = rd(rd(mult(X1,X2),X1),X3),
inference(orient,[status(thm)],[t138]) ).
cnf(t158,plain,
rd(rd(mult(X1,X2),X1),rd(X3,X1)) = mult(X1,rd(X2,X3)),
inference(cp,[status(thm)],[t148,t6]) ).
cnf(t557,plain,
rd(rd(mult(X1,X2),X1),rd(X3,X1)) = mult(X1,rd(X2,X3)),
inference(orient,[status(thm)],[t158]) ).
cnf(t563,plain,
mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,X1),rd(X3,X1)),
inference(cp,[status(thm)],[t557,t5]) ).
cnf(t593,plain,
mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,X1),rd(X3,X1)),
inference(orient,[status(thm)],[t563]) ).
cnf(t9546,plain,
rd(rd(X1,X1),rd(X1,X1)) = rd(mult(X1,ld(X1,X1)),X1),
inference(step,[status(thm)],[t1101,t593]) ).
cnf(t9547,plain,
rd(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(step,[status(thm)],[t9546,t5]) ).
cnf(t1226,plain,
rd(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(orient,[status(thm)],[t9547]) ).
cnf(t1231,plain,
rd(rd(X1,X1),rd(rd(X1,X1),rd(X1,X1))) = mult(rd(X1,X1),rd(X1,X1)),
inference(cp,[status(thm)],[t268,t1226]) ).
cnf(t9548,plain,
rd(rd(X1,X1),rd(X1,X1)) = mult(rd(X1,X1),rd(X1,X1)),
inference(step,[status(thm)],[t1231,t1226]) ).
cnf(t9549,plain,
rd(X1,X1) = mult(rd(X1,X1),rd(X1,X1)),
inference(step,[status(thm)],[t9548,t1226]) ).
cnf(t1267,plain,
mult(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(orient,[status(thm)],[t9549]) ).
cnf(t1284,plain,
mult(mult(X1,rd(X1,X1)),rd(X1,X1)) = mult(rd(X1,X1),mult(X1,rd(X1,X1))),
inference(cp,[status(thm)],[t1131,t1267]) ).
cnf(t61,plain,
mult(mult(X1,X2),rd(X3,X1)) = rd(mult(X1,mult(X2,X3)),X1),
inference(cp,[status(thm)],[t52,t6]) ).
cnf(t64,plain,
mult(mult(X1,X2),rd(X3,X1)) = rd(mult(X1,mult(X2,X3)),X1),
inference(orient,[status(thm)],[t61]) ).
cnf(t9556,plain,
rd(mult(X1,mult(rd(X1,X1),X1)),X1) = mult(rd(X1,X1),mult(X1,rd(X1,X1))),
inference(step,[status(thm)],[t1284,t64]) ).
cnf(t9557,plain,
rd(mult(X1,X1),X1) = mult(rd(X1,X1),mult(X1,rd(X1,X1))),
inference(step,[status(thm)],[t9556,t6]) ).
cnf(t9558,plain,
X1 = mult(rd(X1,X1),mult(X1,rd(X1,X1))),
inference(step,[status(thm)],[t9557,t7]) ).
cnf(t9559,plain,
X1 = mult(rd(X1,X1),rd(X1,rd(X1,X1))),
inference(step,[status(thm)],[t9558,t268]) ).
cnf(t1467,plain,
mult(rd(X1,X1),rd(X1,rd(X1,X1))) = X1,
inference(orient,[status(thm)],[t9559]) ).
cnf(t1475,plain,
rd(X1,rd(X1,X1)) = ld(rd(X1,X1),X1),
inference(cp,[status(thm)],[t9,t1467]) ).
cnf(t9560,plain,
rd(X1,rd(X1,X1)) = X1,
inference(step,[status(thm)],[t1475,t20]) ).
cnf(t1499,plain,
rd(X1,rd(X1,X1)) = X1,
inference(orient,[status(thm)],[t9560]) ).
cnf(t1503,plain,
rd(X1,mult(rd(X1,X1),X1)) = ld(X1,X1),
inference(cp,[status(thm)],[t298,t1499]) ).
cnf(t9561,plain,
rd(X1,X1) = ld(X1,X1),
inference(step,[status(thm)],[t1503,t6]) ).
cnf(t1520,plain,
ld(X1,X1) = rd(X1,X1),
inference(orient,[status(thm)],[t9561]) ).
cnf(t623,plain,
mult(X1,mult(ld(X1,X2),ld(X2,X3))) = mult(rd(rd(X3,X2),rd(X1,X2)),X1),
inference(cp,[status(thm)],[t31,t593]) ).
cnf(t8344,plain,
mult(rd(rd(X1,X2),rd(X3,X2)),X3) = mult(X3,mult(ld(X3,X2),ld(X2,X1))),
inference(orient,[status(thm)],[t623]) ).
cnf(t8428,plain,
mult(rd(X1,X1),mult(ld(rd(X1,X1),rd(X1,X1)),ld(rd(X1,X1),X2))) = mult(rd(rd(X2,rd(X1,X1)),rd(X1,X1)),rd(X1,X1)),
inference(cp,[status(thm)],[t8344,t1226]) ).
cnf(t49,plain,
mult(ld(X1,rd(X2,X3)),mult(X3,X1)) = ld(X1,mult(X2,X1)),
inference(cp,[status(thm)],[t41,t6]) ).
cnf(t105,plain,
mult(ld(X1,rd(X2,X3)),mult(X3,X1)) = ld(X1,mult(X2,X1)),
inference(orient,[status(thm)],[t49]) ).
cnf(t118,plain,
ld(X1,rd(X2,X3)) = rd(ld(X1,mult(X2,X1)),mult(X3,X1)),
inference(cp,[status(thm)],[t7,t105]) ).
cnf(t494,plain,
rd(ld(X1,mult(X2,X1)),mult(X3,X1)) = ld(X1,rd(X2,X3)),
inference(orient,[status(thm)],[t118]) ).
cnf(t507,plain,
ld(X1,rd(rd(X2,X1),X3)) = rd(ld(X1,X2),mult(X3,X1)),
inference(cp,[status(thm)],[t494,t6]) ).
cnf(t532,plain,
ld(X1,rd(rd(X2,X1),X3)) = rd(ld(X1,X2),mult(X3,X1)),
inference(orient,[status(thm)],[t507]) ).
cnf(t1510,plain,
rd(ld(rd(X1,X1),X1),mult(X2,rd(X1,X1))) = ld(rd(X1,X1),rd(X1,X2)),
inference(cp,[status(thm)],[t532,t1499]) ).
cnf(t9583,plain,
rd(X1,mult(X2,rd(X1,X1))) = ld(rd(X1,X1),rd(X1,X2)),
inference(step,[status(thm)],[t1510,t20]) ).
cnf(t1911,plain,
ld(rd(X1,X1),rd(X1,X2)) = rd(X1,mult(X2,rd(X1,X1))),
inference(orient,[status(thm)],[t9583]) ).
cnf(t9636,plain,
mult(rd(X1,X1),mult(rd(X1,mult(X1,rd(X1,X1))),ld(rd(X1,X1),X2))) = mult(rd(rd(X2,rd(X1,X1)),rd(X1,X1)),rd(X1,X1)),
inference(step,[status(thm)],[t8428,t1911]) ).
cnf(t9637,plain,
mult(rd(X1,X1),mult(rd(X1,rd(X1,rd(X1,X1))),ld(rd(X1,X1),X2))) = mult(rd(rd(X2,rd(X1,X1)),rd(X1,X1)),rd(X1,X1)),
inference(step,[status(thm)],[t9636,t268]) ).
cnf(t9638,plain,
mult(rd(X1,X1),mult(rd(X1,X1),ld(rd(X1,X1),X2))) = mult(rd(rd(X2,rd(X1,X1)),rd(X1,X1)),rd(X1,X1)),
inference(step,[status(thm)],[t9637,t1499]) ).
cnf(t9639,plain,
mult(rd(X1,X1),X2) = mult(rd(rd(X2,rd(X1,X1)),rd(X1,X1)),rd(X1,X1)),
inference(step,[status(thm)],[t9638,t5]) ).
cnf(t9640,plain,
mult(rd(X1,X1),X2) = rd(X2,rd(X1,X1)),
inference(step,[status(thm)],[t9639,t6]) ).
cnf(t8508,plain,
mult(rd(X1,X1),X2) = rd(X2,rd(X1,X1)),
inference(orient,[status(thm)],[t9640]) ).
cnf(t198,plain,
rd(ld(ld(X1,X2),ld(X1,X3)),X1) = ld(X2,rd(X3,X1)),
inference(cp,[status(thm)],[t191,t5]) ).
cnf(t628,plain,
rd(ld(ld(X1,X2),ld(X1,X3)),X1) = ld(X2,rd(X3,X1)),
inference(orient,[status(thm)],[t198]) ).
cnf(t652,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(ld(X2,rd(X3,X1)),X1),
inference(cp,[status(thm)],[t6,t628]) ).
cnf(t704,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(ld(X2,rd(X3,X1)),X1),
inference(orient,[status(thm)],[t652]) ).
cnf(t1530,plain,
mult(ld(X1,rd(X2,X1)),X1) = ld(rd(X1,X1),ld(X1,X2)),
inference(cp,[status(thm)],[t704,t1520]) ).
cnf(t2003,plain,
ld(rd(X1,X1),ld(X1,X2)) = mult(ld(X1,rd(X2,X1)),X1),
inference(orient,[status(thm)],[t1530]) ).
cnf(t42,plain,
mult(ld(mult(X1,X2),X1),mult(X2,mult(X1,X2))) = mult(X1,X2),
inference(cp,[status(thm)],[t41,t9]) ).
cnf(t9619,plain,
mult(rd(ld(X2,X1),X1),mult(X2,mult(X1,X2))) = mult(X1,X2),
inference(step,[status(thm)],[t42,t226]) ).
cnf(t3682,plain,
mult(rd(ld(X1,X2),X2),mult(X1,mult(X2,X1))) = mult(X2,X1),
inference(orient,[status(thm)],[t9619]) ).
cnf(t8546,plain,
mult(X1,rd(X2,X2)) = mult(rd(ld(rd(X2,X2),X1),X1),rd(mult(X1,rd(X2,X2)),rd(X2,X2))),
inference(cp,[status(thm)],[t3682,t8508]) ).
cnf(t9649,plain,
mult(X1,rd(X2,X2)) = mult(rd(ld(rd(X2,X2),X1),X1),X1),
inference(step,[status(thm)],[t8546,t7]) ).
cnf(t9650,plain,
mult(X1,rd(X2,X2)) = ld(rd(X2,X2),X1),
inference(step,[status(thm)],[t9649,t6]) ).
cnf(t8608,plain,
ld(rd(X1,X1),X2) = mult(X2,rd(X1,X1)),
inference(orient,[status(thm)],[t9650]) ).
cnf(t9653,plain,
mult(ld(X1,X2),rd(X1,X1)) = mult(ld(X1,rd(X2,X1)),X1),
inference(step,[status(thm)],[t2003,t8608]) ).
cnf(t8679,plain,
mult(ld(X1,X2),rd(X1,X1)) = mult(ld(X1,rd(X2,X1)),X1),
inference(rw,[status(thm)],[t9653]) ).
cnf(t8992,plain,
mult(ld(X1,rd(X2,X1)),X1) = mult(ld(X1,X2),rd(X1,X1)),
inference(orient,[status(thm)],[t8679]) ).
cnf(t9103,plain,
mult(rd(X1,X2),rd(X2,X2)) = rd(mult(X2,mult(ld(X2,X1),rd(X2,X2))),X2),
inference(cp,[status(thm)],[t81,t8992]) ).
cnf(t9657,plain,
mult(rd(X1,X2),rd(X2,X2)) = mult(X1,rd(rd(X2,X2),X2)),
inference(step,[status(thm)],[t9103,t81]) ).
cnf(t1061,plain,
ld(X1,X1) = ld(ld(X1,X1),ld(X1,X1)),
inference(cp,[status(thm)],[t20,t1050]) ).
cnf(t9544,plain,
ld(X1,X1) = mult(ld(X1,rd(X1,X1)),X1),
inference(step,[status(thm)],[t1061,t704]) ).
cnf(t9545,plain,
ld(X1,X1) = mult(rd(X1,mult(X1,X1)),X1),
inference(step,[status(thm)],[t9544,t298]) ).
cnf(t1102,plain,
mult(rd(X1,mult(X1,X1)),X1) = ld(X1,X1),
inference(orient,[status(thm)],[t9545]) ).
cnf(t1107,plain,
rd(X1,mult(X1,X1)) = rd(ld(X1,X1),X1),
inference(cp,[status(thm)],[t7,t1102]) ).
cnf(t1197,plain,
rd(ld(X1,X1),X1) = rd(X1,mult(X1,X1)),
inference(orient,[status(thm)],[t1107]) ).
cnf(t9570,plain,
rd(rd(X1,X1),X1) = rd(X1,mult(X1,X1)),
inference(step,[status(thm)],[t1197,t1520]) ).
cnf(t1546,plain,
rd(rd(X1,X1),X1) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[t9570]) ).
cnf(t1548,plain,
rd(rd(X1,X1),X1) = rd(X1,mult(X1,X1)),
inference(orient,[status(thm)],[t1546]) ).
cnf(t9658,plain,
mult(rd(X1,X2),rd(X2,X2)) = mult(X1,rd(X2,mult(X2,X2))),
inference(step,[status(thm)],[t9657,t1548]) ).
cnf(t9288,plain,
mult(rd(X1,X2),rd(X2,X2)) = mult(X1,rd(X2,mult(X2,X2))),
inference(orient,[status(thm)],[t9658]) ).
cnf(t634,plain,
ld(mult(X1,X2),rd(X3,X1)) = rd(ld(X2,ld(X1,X3)),X1),
inference(cp,[status(thm)],[t628,t9]) ).
cnf(t665,plain,
ld(mult(X1,X2),rd(X3,X1)) = rd(ld(X2,ld(X1,X3)),X1),
inference(orient,[status(thm)],[t634]) ).
cnf(t1502,plain,
rd(ld(X1,ld(rd(X2,X2),X2)),rd(X2,X2)) = ld(mult(rd(X2,X2),X1),X2),
inference(cp,[status(thm)],[t665,t1499]) ).
cnf(t9582,plain,
rd(ld(X1,X2),rd(X2,X2)) = ld(mult(rd(X2,X2),X1),X2),
inference(step,[status(thm)],[t1502,t20]) ).
cnf(t1880,plain,
ld(mult(rd(X1,X1),X2),X1) = rd(ld(X2,X1),rd(X1,X1)),
inference(orient,[status(thm)],[t9582]) ).
cnf(t1898,plain,
mult(rd(X1,X1),X2) = rd(X1,rd(ld(X2,X1),rd(X1,X1))),
inference(cp,[status(thm)],[t19,t1880]) ).
cnf(t3067,plain,
rd(X1,rd(ld(X2,X1),rd(X1,X1))) = mult(rd(X1,X1),X2),
inference(orient,[status(thm)],[t1898]) ).
cnf(t3091,plain,
mult(rd(X1,X1),rd(X1,X2)) = rd(X1,rd(X2,rd(X1,X1))),
inference(cp,[status(thm)],[t3067,t20]) ).
cnf(t3123,plain,
mult(rd(X1,X1),rd(X1,X2)) = rd(X1,rd(X2,rd(X1,X1))),
inference(orient,[status(thm)],[t3091]) ).
cnf(t9643,plain,
rd(rd(X1,X2),rd(X1,X1)) = rd(X1,rd(X2,rd(X1,X1))),
inference(step,[status(thm)],[t3123,t8508]) ).
cnf(t8602,plain,
rd(rd(X1,X2),rd(X1,X1)) = rd(X1,rd(X2,rd(X1,X1))),
inference(rw,[status(thm)],[t9643]) ).
cnf(t8819,plain,
rd(rd(X1,X2),rd(X1,X1)) = rd(X1,rd(X2,rd(X1,X1))),
inference(orient,[status(thm)],[t8602]) ).
cnf(t9336,plain,
mult(X1,rd(rd(X2,X2),mult(rd(X2,X2),rd(X2,X2)))) = mult(rd(X1,rd(X2,X2)),rd(X2,rd(X2,rd(X2,X2)))),
inference(cp,[status(thm)],[t9288,t8819]) ).
cnf(t8634,plain,
rd(X1,X1) = rd(X2,mult(X2,rd(X1,X1))),
inference(cp,[status(thm)],[t19,t8608]) ).
cnf(t8741,plain,
rd(X1,mult(X1,rd(X2,X2))) = rd(X2,X2),
inference(orient,[status(thm)],[t8634]) ).
cnf(t9659,plain,
mult(X1,rd(X2,X2)) = mult(rd(X1,rd(X2,X2)),rd(X2,rd(X2,rd(X2,X2)))),
inference(step,[status(thm)],[t9336,t8741]) ).
cnf(t9660,plain,
mult(X1,rd(X2,X2)) = mult(rd(X1,rd(X2,X2)),rd(X2,X2)),
inference(step,[status(thm)],[t9659,t1499]) ).
cnf(t9661,plain,
mult(X1,rd(X2,X2)) = X1,
inference(step,[status(thm)],[t9660,t6]) ).
cnf(t9400,plain,
mult(X1,rd(X2,X2)) = X1,
inference(orient,[status(thm)],[t9661]) ).
cnf(t9664,plain,
mult(ld(X1,rd(X2,X1)),X1) = ld(X1,X2),
inference(step,[status(thm)],[t8992,t9400]) ).
cnf(t9403,plain,
mult(ld(X1,rd(X2,X1)),X1) = ld(X1,X2),
inference(orient,[status(thm)],[t9664]) ).
cnf(t9416,plain,
ld(rd(X1,X1),rd(X2,rd(X1,X1))) = ld(rd(X1,X1),X2),
inference(cp,[status(thm)],[t9400,t9403]) ).
cnf(t9662,plain,
ld(rd(X1,X1),X2) = X2,
inference(step,[status(thm)],[t8608,t9400]) ).
cnf(t9401,plain,
ld(rd(X1,X1),X2) = X2,
inference(orient,[status(thm)],[t9662]) ).
cnf(t9669,plain,
rd(X2,rd(X1,X1)) = ld(rd(X1,X1),X2),
inference(step,[status(thm)],[t9416,t9401]) ).
cnf(t9670,plain,
rd(X2,rd(X1,X1)) = X2,
inference(step,[status(thm)],[t9669,t9401]) ).
cnf(t9482,plain,
rd(X1,rd(X2,X2)) = X1,
inference(orient,[status(thm)],[t9670]) ).
cnf(t9671,plain,
mult(rd(X1,X1),X2) = X2,
inference(step,[status(thm)],[t8508,t9482]) ).
cnf(t9483,plain,
mult(rd(X1,X1),X2) = X2,
inference(orient,[status(thm)],[t9671]) ).
cnf(goal_0,negated_conjecture,
mult(ld(x1,x1),x0) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(rd(x1,x1),x0) != x0,
inference(rw,[status(thm)],[goal_0,t1520]) ).
cnf(g0_1,plain,
x0 != x0,
inference(rw,[status(thm)],[g0_0,t9483]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP660-14 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Wed Sep 23 15:32:06 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.06/1.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.06/1.04 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------