%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP753-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 01:28:20 PM UTC 2026
% Result : Unsatisfiable 81.95s 21.13s
% Output : CNFRefutation 81.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 14
% Syntax : Number of clauses : 253 ( 253 unt; 0 nHn; 77 RR)
% Number of literals : 253 ( 252 equ; 9 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 : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 367 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t6,axiom,
sFlat0 = mult(a,a),
introduced(definition) ).
cnf(t56,plain,
mult(a,a) = sFlat0,
inference(orient,[status(thm)],[t6]) ).
cnf(t7,axiom,
sFlat1 = mult(a,mult(a,a)),
introduced(definition) ).
cnf(t50,plain,
mult(a,mult(a,a)) = sFlat1,
inference(orient,[status(thm)],[t7]) ).
cnf(t76588,plain,
mult(a,sFlat0) = sFlat1,
inference(step,[status(thm)],[t50,t56]) ).
cnf(t61,plain,
mult(a,sFlat0) = sFlat1,
inference(rw,[status(thm)],[t76588]) ).
cnf(t76,plain,
mult(a,sFlat0) = sFlat1,
inference(orient,[status(thm)],[t61]) ).
cnf(t8,axiom,
sFlat2 = mult(b,c),
introduced(definition) ).
cnf(t69,plain,
mult(b,c) = sFlat2,
inference(orient,[status(thm)],[t8]) ).
cnf(t9,axiom,
sFlat3 = mult(mult(a,mult(a,a)),mult(b,c)),
introduced(definition) ).
cnf(t35,plain,
mult(mult(a,mult(a,a)),mult(b,c)) = sFlat3,
inference(orient,[status(thm)],[t9]) ).
cnf(t76587,plain,
mult(sFlat1,mult(b,c)) = sFlat3,
inference(step,[status(thm)],[t35,t50]) ).
cnf(t55,plain,
mult(sFlat1,mult(b,c)) = sFlat3,
inference(rw,[status(thm)],[t76587]) ).
cnf(t76594,plain,
mult(sFlat1,sFlat2) = sFlat3,
inference(step,[status(thm)],[t55,t69]) ).
cnf(t103,plain,
mult(sFlat1,sFlat2) = sFlat3,
inference(orient,[status(thm)],[t76594]) ).
cnf(t10,axiom,
sFlat4 = mult(a,b),
introduced(definition) ).
cnf(t63,plain,
mult(a,b) = sFlat4,
inference(orient,[status(thm)],[t10]) ).
cnf(t11,axiom,
sFlat5 = mult(mult(a,a),c),
introduced(definition) ).
cnf(t40,plain,
mult(mult(a,a),c) = sFlat5,
inference(orient,[status(thm)],[t11]) ).
cnf(t76589,plain,
mult(sFlat0,c) = sFlat5,
inference(step,[status(thm)],[t40,t56]) ).
cnf(t62,plain,
mult(sFlat0,c) = sFlat5,
inference(rw,[status(thm)],[t76589]) ).
cnf(t81,plain,
mult(sFlat0,c) = sFlat5,
inference(orient,[status(thm)],[t62]) ).
cnf(t12,axiom,
sFlat6 = mult(mult(a,b),mult(mult(a,a),c)),
introduced(definition) ).
cnf(t76586,plain,
sFlat6 = mult(mult(a,b),sFlat5),
inference(step,[status(thm)],[t12,t40]) ).
cnf(t45,plain,
mult(mult(a,b),sFlat5) = sFlat6,
inference(orient,[status(thm)],[t76586]) ).
cnf(t76590,plain,
mult(sFlat4,sFlat5) = sFlat6,
inference(step,[status(thm)],[t45,t63]) ).
cnf(t68,plain,
mult(sFlat4,sFlat5) = sFlat6,
inference(rw,[status(thm)],[t76590]) ).
cnf(t88,plain,
mult(sFlat4,sFlat5) = sFlat6,
inference(orient,[status(thm)],[t68]) ).
cnf(t1,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t2,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t14,plain,
mult(rd(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t3,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t15,plain,
rd(mult(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t4,axiom,
mult(mult(X1,X2),mult(X3,ld(X2,X2))) = mult(mult(X1,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t26,plain,
mult(mult(X1,X2),mult(X3,ld(X2,X2))) = mult(mult(X1,X3),X2),
inference(orient,[status(thm)],[t4]) ).
cnf(t30,plain,
mult(mult(X1,rd(X2,ld(X3,X3))),X3) = mult(mult(X1,X3),X2),
inference(cp,[status(thm)],[t26,t14]) ).
cnf(t650,plain,
mult(mult(X1,rd(X2,ld(X3,X3))),X3) = mult(mult(X1,X3),X2),
inference(orient,[status(thm)],[t30]) ).
cnf(t671,plain,
mult(X1,rd(X2,ld(X3,X3))) = rd(mult(mult(X1,X3),X2),X3),
inference(cp,[status(thm)],[t15,t650]) ).
cnf(t694,plain,
mult(X1,rd(X2,ld(X3,X3))) = rd(mult(mult(X1,X3),X2),X3),
inference(orient,[status(thm)],[t671]) ).
cnf(t699,plain,
rd(X1,ld(X2,X2)) = ld(X3,rd(mult(mult(X3,X2),X1),X2)),
inference(cp,[status(thm)],[t17,t694]) ).
cnf(t1644,plain,
ld(X1,rd(mult(mult(X1,X2),X3),X2)) = rd(X3,ld(X2,X2)),
inference(orient,[status(thm)],[t699]) ).
cnf(t1649,plain,
rd(ld(mult(X1,X2),X3),ld(X2,X2)) = ld(X1,rd(X3,X2)),
inference(cp,[status(thm)],[t1644,t13]) ).
cnf(t4472,plain,
rd(ld(mult(X1,X2),X3),ld(X2,X2)) = ld(X1,rd(X3,X2)),
inference(orient,[status(thm)],[t1649]) ).
cnf(t18,plain,
X1 = ld(rd(X2,X1),X2),
inference(cp,[status(thm)],[t17,t14]) ).
cnf(t102,plain,
ld(rd(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t18]) ).
cnf(t5,axiom,
mult(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,mult(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
mult(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,mult(X2,X3)),
inference(orient,[status(thm)],[t5]) ).
cnf(t20,plain,
mult(X1,mult(ld(rd(X1,X1),X2),X3)) = mult(X2,mult(X1,X3)),
inference(cp,[status(thm)],[t19,t13]) ).
cnf(t212,plain,
mult(X1,mult(ld(rd(X1,X1),X2),X3)) = mult(X2,mult(X1,X3)),
inference(orient,[status(thm)],[t20]) ).
cnf(t223,plain,
mult(ld(rd(X1,X1),X2),X3) = ld(X1,mult(X2,mult(X1,X3))),
inference(cp,[status(thm)],[t17,t212]) ).
cnf(t234,plain,
ld(X1,mult(X2,mult(X1,X3))) = mult(ld(rd(X1,X1),X2),X3),
inference(orient,[status(thm)],[t223]) ).
cnf(t247,plain,
mult(ld(rd(X1,X1),X2),ld(X1,X3)) = ld(X1,mult(X2,X3)),
inference(cp,[status(thm)],[t234,t13]) ).
cnf(t3125,plain,
mult(ld(rd(X1,X1),X2),ld(X1,X3)) = ld(X1,mult(X2,X3)),
inference(orient,[status(thm)],[t247]) ).
cnf(t3193,plain,
ld(rd(X1,X1),X2) = rd(ld(X1,mult(X2,X3)),ld(X1,X3)),
inference(cp,[status(thm)],[t15,t3125]) ).
cnf(t6562,plain,
rd(ld(X1,mult(X2,X3)),ld(X1,X3)) = ld(rd(X1,X1),X2),
inference(orient,[status(thm)],[t3193]) ).
cnf(t6684,plain,
ld(rd(X1,X1),rd(X2,X3)) = rd(ld(X1,X2),ld(X1,X3)),
inference(cp,[status(thm)],[t6562,t14]) ).
cnf(t6998,plain,
ld(rd(X1,X1),rd(X2,X3)) = rd(ld(X1,X2),ld(X1,X3)),
inference(orient,[status(thm)],[t6684]) ).
cnf(t16,plain,
X1 = rd(X2,ld(X1,X2)),
inference(cp,[status(thm)],[t15,t13]) ).
cnf(t101,plain,
rd(X1,ld(X2,X1)) = X2,
inference(orient,[status(thm)],[t16]) ).
cnf(t7006,plain,
rd(ld(X1,X2),ld(X1,ld(X3,X2))) = ld(rd(X1,X1),X3),
inference(cp,[status(thm)],[t6998,t101]) ).
cnf(t8395,plain,
rd(ld(X1,X2),ld(X1,ld(X3,X2))) = ld(rd(X1,X1),X3),
inference(orient,[status(thm)],[t7006]) ).
cnf(t104,plain,
sFlat2 = ld(sFlat1,sFlat3),
inference(cp,[status(thm)],[t17,t103]) ).
cnf(t108,plain,
ld(sFlat1,sFlat3) = sFlat2,
inference(orient,[status(thm)],[t104]) ).
cnf(t8444,plain,
ld(rd(sFlat1,sFlat1),X1) = rd(sFlat2,ld(sFlat1,ld(X1,sFlat3))),
inference(cp,[status(thm)],[t8395,t108]) ).
cnf(t8573,plain,
rd(sFlat2,ld(sFlat1,ld(X1,sFlat3))) = ld(rd(sFlat1,sFlat1),X1),
inference(orient,[status(thm)],[t8444]) ).
cnf(t8584,plain,
ld(sFlat1,ld(X1,sFlat3)) = ld(ld(rd(sFlat1,sFlat1),X1),sFlat2),
inference(cp,[status(thm)],[t102,t8573]) ).
cnf(t8729,plain,
ld(ld(rd(sFlat1,sFlat1),X1),sFlat2) = ld(sFlat1,ld(X1,sFlat3)),
inference(orient,[status(thm)],[t8584]) ).
cnf(t24,plain,
mult(rd(X1,X1),X2) = rd(mult(X1,mult(X2,X3)),mult(X1,X3)),
inference(cp,[status(thm)],[t15,t19]) ).
cnf(t369,plain,
rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = mult(rd(X1,X1),X2),
inference(orient,[status(thm)],[t24]) ).
cnf(t381,plain,
mult(rd(X1,X1),X2) = rd(mult(X1,X3),mult(X1,ld(X2,X3))),
inference(cp,[status(thm)],[t369,t13]) ).
cnf(t1272,plain,
rd(mult(X1,X2),mult(X1,ld(X3,X2))) = mult(rd(X1,X1),X3),
inference(orient,[status(thm)],[t381]) ).
cnf(t1313,plain,
mult(rd(a,a),X1) = rd(sFlat4,mult(a,ld(X1,b))),
inference(cp,[status(thm)],[t1272,t63]) ).
cnf(t1405,plain,
rd(sFlat4,mult(a,ld(X1,b))) = mult(rd(a,a),X1),
inference(orient,[status(thm)],[t1313]) ).
cnf(t29,plain,
mult(mult(rd(X1,X2),X3),X2) = mult(X1,mult(X3,ld(X2,X2))),
inference(cp,[status(thm)],[t26,t14]) ).
cnf(t119,plain,
mult(mult(rd(X1,X2),X3),X2) = mult(X1,mult(X3,ld(X2,X2))),
inference(orient,[status(thm)],[t29]) ).
cnf(t131,plain,
mult(rd(X1,X2),X3) = rd(mult(X1,mult(X3,ld(X2,X2))),X2),
inference(cp,[status(thm)],[t15,t119]) ).
cnf(t1246,plain,
rd(mult(X1,mult(X2,ld(X3,X3))),X3) = mult(rd(X1,X3),X2),
inference(orient,[status(thm)],[t131]) ).
cnf(t1247,plain,
mult(rd(X1,X2),ld(rd(X1,X1),X3)) = rd(mult(X3,mult(X1,ld(X2,X2))),X2),
inference(cp,[status(thm)],[t1246,t212]) ).
cnf(t76599,plain,
mult(rd(X1,X2),ld(rd(X1,X1),X3)) = mult(rd(X3,X2),X1),
inference(step,[status(thm)],[t1247,t1246]) ).
cnf(t3453,plain,
mult(rd(X1,X2),ld(rd(X1,X1),X3)) = mult(rd(X3,X2),X1),
inference(orient,[status(thm)],[t76599]) ).
cnf(t58,plain,
a = rd(sFlat0,a),
inference(cp,[status(thm)],[t15,t56]) ).
cnf(t75,plain,
rd(sFlat0,a) = a,
inference(orient,[status(thm)],[t58]) ).
cnf(t3527,plain,
mult(rd(X1,a),sFlat0) = mult(a,ld(rd(sFlat0,sFlat0),X1)),
inference(cp,[status(thm)],[t3453,t75]) ).
cnf(t3861,plain,
mult(a,ld(rd(sFlat0,sFlat0),X1)) = mult(rd(X1,a),sFlat0),
inference(orient,[status(thm)],[t3527]) ).
cnf(t3877,plain,
mult(rd(a,a),rd(sFlat0,sFlat0)) = rd(sFlat4,mult(rd(b,a),sFlat0)),
inference(cp,[status(thm)],[t1405,t3861]) ).
cnf(t412,plain,
mult(rd(X1,X1),rd(X2,X3)) = rd(mult(X1,X2),mult(X1,X3)),
inference(cp,[status(thm)],[t369,t14]) ).
cnf(t568,plain,
mult(rd(X1,X1),rd(X2,X3)) = rd(mult(X1,X2),mult(X1,X3)),
inference(orient,[status(thm)],[t412]) ).
cnf(t76604,plain,
rd(mult(a,sFlat0),mult(a,sFlat0)) = rd(sFlat4,mult(rd(b,a),sFlat0)),
inference(step,[status(thm)],[t3877,t568]) ).
cnf(t76605,plain,
rd(sFlat1,mult(a,sFlat0)) = rd(sFlat4,mult(rd(b,a),sFlat0)),
inference(step,[status(thm)],[t76604,t76]) ).
cnf(t76606,plain,
rd(sFlat1,sFlat1) = rd(sFlat4,mult(rd(b,a),sFlat0)),
inference(step,[status(thm)],[t76605,t76]) ).
cnf(t3909,plain,
rd(sFlat4,mult(rd(b,a),sFlat0)) = rd(sFlat1,sFlat1),
inference(orient,[status(thm)],[t76606]) ).
cnf(t3911,plain,
mult(rd(b,a),sFlat0) = ld(rd(sFlat1,sFlat1),sFlat4),
inference(cp,[status(thm)],[t102,t3909]) ).
cnf(t3918,plain,
ld(rd(sFlat1,sFlat1),sFlat4) = mult(rd(b,a),sFlat0),
inference(orient,[status(thm)],[t3911]) ).
cnf(t8732,plain,
ld(sFlat1,ld(sFlat4,sFlat3)) = ld(mult(rd(b,a),sFlat0),sFlat2),
inference(cp,[status(thm)],[t8729,t3918]) ).
cnf(t9227,plain,
ld(mult(rd(b,a),sFlat0),sFlat2) = ld(sFlat1,ld(sFlat4,sFlat3)),
inference(orient,[status(thm)],[t8732]) ).
cnf(t9239,plain,
ld(rd(b,a),rd(sFlat2,sFlat0)) = rd(ld(sFlat1,ld(sFlat4,sFlat3)),ld(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t4472,t9227]) ).
cnf(t1691,plain,
rd(X1,ld(sFlat0,sFlat0)) = ld(a,rd(mult(sFlat1,X1),sFlat0)),
inference(cp,[status(thm)],[t1644,t76]) ).
cnf(t1764,plain,
ld(a,rd(mult(sFlat1,X1),sFlat0)) = rd(X1,ld(sFlat0,sFlat0)),
inference(orient,[status(thm)],[t1691]) ).
cnf(t1768,plain,
rd(ld(sFlat1,X1),ld(sFlat0,sFlat0)) = ld(a,rd(X1,sFlat0)),
inference(cp,[status(thm)],[t1764,t13]) ).
cnf(t1858,plain,
rd(ld(sFlat1,X1),ld(sFlat0,sFlat0)) = ld(a,rd(X1,sFlat0)),
inference(orient,[status(thm)],[t1768]) ).
cnf(t76858,plain,
ld(rd(b,a),rd(sFlat2,sFlat0)) = ld(a,rd(ld(sFlat4,sFlat3),sFlat0)),
inference(step,[status(thm)],[t9239,t1858]) ).
cnf(t33719,plain,
ld(rd(b,a),rd(sFlat2,sFlat0)) = ld(a,rd(ld(sFlat4,sFlat3),sFlat0)),
inference(orient,[status(thm)],[t76858]) ).
cnf(t3540,plain,
mult(rd(mult(rd(X1,X1),X2),X3),X1) = mult(rd(X1,X3),X2),
inference(cp,[status(thm)],[t3453,t17]) ).
cnf(t9418,plain,
mult(rd(mult(rd(X1,X1),X2),X3),X1) = mult(rd(X1,X3),X2),
inference(orient,[status(thm)],[t3540]) ).
cnf(t9508,plain,
rd(mult(rd(X1,X1),X2),X3) = rd(mult(rd(X1,X3),X2),X1),
inference(cp,[status(thm)],[t15,t9418]) ).
cnf(t9572,plain,
rd(mult(rd(X1,X1),X2),X3) = rd(mult(rd(X1,X3),X2),X1),
inference(orient,[status(thm)],[t9508]) ).
cnf(t9696,plain,
rd(mult(rd(sFlat0,sFlat0),X1),a) = rd(mult(a,X1),sFlat0),
inference(cp,[status(thm)],[t9572,t75]) ).
cnf(t9785,plain,
rd(mult(rd(sFlat0,sFlat0),X1),a) = rd(mult(a,X1),sFlat0),
inference(orient,[status(thm)],[t9696]) ).
cnf(t9799,plain,
mult(rd(sFlat0,sFlat0),X1) = mult(rd(mult(a,X1),sFlat0),a),
inference(cp,[status(thm)],[t14,t9785]) ).
cnf(t15696,plain,
mult(rd(mult(a,X1),sFlat0),a) = mult(rd(sFlat0,sFlat0),X1),
inference(orient,[status(thm)],[t9799]) ).
cnf(t413,plain,
mult(rd(X1,X1),X2) = rd(mult(X1,mult(X2,ld(X1,X3))),X3),
inference(cp,[status(thm)],[t369,t13]) ).
cnf(t1580,plain,
rd(mult(X1,mult(X2,ld(X1,X3))),X3) = mult(rd(X1,X1),X2),
inference(orient,[status(thm)],[t413]) ).
cnf(t31,plain,
mult(X1,ld(X2,X2)) = ld(mult(X3,X2),mult(mult(X3,X1),X2)),
inference(cp,[status(thm)],[t17,t26]) ).
cnf(t715,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = mult(X3,ld(X2,X2)),
inference(orient,[status(thm)],[t31]) ).
cnf(t752,plain,
mult(ld(X1,X2),ld(X3,X3)) = ld(mult(X1,X3),mult(X2,X3)),
inference(cp,[status(thm)],[t715,t13]) ).
cnf(t921,plain,
ld(mult(X1,X2),mult(X3,X2)) = mult(ld(X1,X3),ld(X2,X2)),
inference(orient,[status(thm)],[t752]) ).
cnf(t952,plain,
mult(ld(rd(X1,X2),X3),ld(X2,X2)) = ld(X1,mult(X3,X2)),
inference(cp,[status(thm)],[t921,t14]) ).
cnf(t3220,plain,
mult(ld(rd(X1,X2),X3),ld(X2,X2)) = ld(X1,mult(X3,X2)),
inference(orient,[status(thm)],[t952]) ).
cnf(t3334,plain,
mult(rd(X1,X1),ld(rd(X2,X1),X3)) = rd(mult(X1,ld(X2,mult(X3,X1))),X1),
inference(cp,[status(thm)],[t1580,t3220]) ).
cnf(t47518,plain,
mult(rd(X1,X1),ld(rd(X2,X1),X3)) = rd(mult(X1,ld(X2,mult(X3,X1))),X1),
inference(orient,[status(thm)],[t3334]) ).
cnf(t6999,plain,
rd(ld(X1,mult(mult(rd(X1,X1),X2),X3)),ld(X1,X2)) = rd(X3,ld(X2,X2)),
inference(cp,[status(thm)],[t6998,t1644]) ).
cnf(t21,plain,
mult(X1,mult(X2,ld(X1,X3))) = mult(mult(rd(X1,X1),X2),X3),
inference(cp,[status(thm)],[t19,t13]) ).
cnf(t111,plain,
mult(mult(rd(X1,X1),X2),X3) = mult(X1,mult(X2,ld(X1,X3))),
inference(orient,[status(thm)],[t21]) ).
cnf(t76647,plain,
rd(ld(X1,mult(X1,mult(X2,ld(X1,X3)))),ld(X1,X2)) = rd(X3,ld(X2,X2)),
inference(step,[status(thm)],[t6999,t111]) ).
cnf(t76648,plain,
rd(mult(X2,ld(X1,X3)),ld(X1,X2)) = rd(X3,ld(X2,X2)),
inference(step,[status(thm)],[t76647,t17]) ).
cnf(t7154,plain,
rd(mult(X1,ld(X2,X3)),ld(X2,X1)) = rd(X3,ld(X1,X1)),
inference(orient,[status(thm)],[t76648]) ).
cnf(t7322,plain,
rd(X1,ld(X2,X2)) = rd(mult(X2,ld(rd(X2,X3),X1)),X3),
inference(cp,[status(thm)],[t7154,t102]) ).
cnf(t11463,plain,
rd(mult(X1,ld(rd(X1,X2),X3)),X2) = rd(X3,ld(X1,X1)),
inference(orient,[status(thm)],[t7322]) ).
cnf(t3544,plain,
ld(rd(X1,X1),X2) = ld(rd(X1,X3),mult(rd(X2,X3),X1)),
inference(cp,[status(thm)],[t17,t3453]) ).
cnf(t9889,plain,
ld(rd(X1,X2),mult(rd(X3,X2),X1)) = ld(rd(X1,X1),X3),
inference(orient,[status(thm)],[t3544]) ).
cnf(t10062,plain,
ld(rd(X1,X1),X2) = ld(rd(X1,ld(X3,X2)),mult(X3,X1)),
inference(cp,[status(thm)],[t9889,t101]) ).
cnf(t25129,plain,
ld(rd(X1,ld(X2,X3)),mult(X2,X1)) = ld(rd(X1,X1),X3),
inference(orient,[status(thm)],[t10062]) ).
cnf(t57,plain,
a = ld(a,sFlat0),
inference(cp,[status(thm)],[t17,t56]) ).
cnf(t74,plain,
ld(a,sFlat0) = a,
inference(orient,[status(thm)],[t57]) ).
cnf(t8477,plain,
ld(rd(a,a),X1) = rd(a,ld(a,ld(X1,sFlat0))),
inference(cp,[status(thm)],[t8395,t74]) ).
cnf(t8682,plain,
rd(a,ld(a,ld(X1,sFlat0))) = ld(rd(a,a),X1),
inference(orient,[status(thm)],[t8477]) ).
cnf(t25141,plain,
ld(rd(a,a),ld(X1,sFlat0)) = ld(ld(rd(a,a),X1),mult(a,a)),
inference(cp,[status(thm)],[t25129,t8682]) ).
cnf(t8398,plain,
ld(rd(X1,X1),X2) = rd(X3,ld(X1,ld(X2,mult(X1,X3)))),
inference(cp,[status(thm)],[t8395,t17]) ).
cnf(t12332,plain,
rd(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(rd(X2,X2),X3),
inference(orient,[status(thm)],[t8398]) ).
cnf(t12476,plain,
ld(X1,ld(X2,mult(X1,X3))) = ld(ld(rd(X1,X1),X2),X3),
inference(cp,[status(thm)],[t102,t12332]) ).
cnf(t12512,plain,
ld(ld(rd(X1,X1),X2),X3) = ld(X1,ld(X2,mult(X1,X3))),
inference(orient,[status(thm)],[t12476]) ).
cnf(t76740,plain,
ld(rd(a,a),ld(X1,sFlat0)) = ld(a,ld(X1,mult(a,mult(a,a)))),
inference(step,[status(thm)],[t25141,t12512]) ).
cnf(t76741,plain,
ld(rd(a,a),ld(X1,sFlat0)) = ld(a,ld(X1,mult(a,sFlat0))),
inference(step,[status(thm)],[t76740,t56]) ).
cnf(t76742,plain,
ld(rd(a,a),ld(X1,sFlat0)) = ld(a,ld(X1,sFlat1)),
inference(step,[status(thm)],[t76741,t76]) ).
cnf(t25485,plain,
ld(rd(a,a),ld(X1,sFlat0)) = ld(a,ld(X1,sFlat1)),
inference(orient,[status(thm)],[t76742]) ).
cnf(t25530,plain,
rd(ld(X1,sFlat0),ld(a,a)) = rd(mult(a,ld(a,ld(X1,sFlat1))),a),
inference(cp,[status(thm)],[t11463,t25485]) ).
cnf(t4546,plain,
ld(rd(X1,X2),rd(X3,X2)) = rd(ld(X1,X3),ld(X2,X2)),
inference(cp,[status(thm)],[t4472,t14]) ).
cnf(t4567,plain,
ld(rd(X1,X2),rd(X3,X2)) = rd(ld(X1,X3),ld(X2,X2)),
inference(orient,[status(thm)],[t4546]) ).
cnf(t4699,plain,
rd(ld(X1,sFlat0),ld(a,a)) = ld(rd(X1,a),a),
inference(cp,[status(thm)],[t4567,t75]) ).
cnf(t4808,plain,
rd(ld(X1,sFlat0),ld(a,a)) = ld(rd(X1,a),a),
inference(orient,[status(thm)],[t4699]) ).
cnf(t76743,plain,
ld(rd(X1,a),a) = rd(mult(a,ld(a,ld(X1,sFlat1))),a),
inference(step,[status(thm)],[t25530,t4808]) ).
cnf(t76744,plain,
ld(rd(X1,a),a) = rd(ld(X1,sFlat1),a),
inference(step,[status(thm)],[t76743,t13]) ).
cnf(t25540,plain,
ld(rd(X1,a),a) = rd(ld(X1,sFlat1),a),
inference(orient,[status(thm)],[t76744]) ).
cnf(t47535,plain,
rd(mult(a,ld(X1,mult(a,a))),a) = mult(rd(a,a),rd(ld(X1,sFlat1),a)),
inference(cp,[status(thm)],[t47518,t25540]) ).
cnf(t77012,plain,
rd(mult(a,ld(X1,sFlat0)),a) = mult(rd(a,a),rd(ld(X1,sFlat1),a)),
inference(step,[status(thm)],[t47535,t56]) ).
cnf(t77013,plain,
rd(mult(a,ld(X1,sFlat0)),a) = rd(mult(a,ld(X1,sFlat1)),mult(a,a)),
inference(step,[status(thm)],[t77012,t568]) ).
cnf(t77014,plain,
rd(mult(a,ld(X1,sFlat0)),a) = rd(mult(a,ld(X1,sFlat1)),sFlat0),
inference(step,[status(thm)],[t77013,t56]) ).
cnf(t47996,plain,
rd(mult(a,ld(X1,sFlat1)),sFlat0) = rd(mult(a,ld(X1,sFlat0)),a),
inference(orient,[status(thm)],[t77014]) ).
cnf(t48049,plain,
mult(rd(sFlat0,sFlat0),ld(X1,sFlat1)) = mult(rd(mult(a,ld(X1,sFlat0)),a),a),
inference(cp,[status(thm)],[t15696,t47996]) ).
cnf(t77032,plain,
mult(rd(sFlat0,sFlat0),ld(X1,sFlat1)) = mult(a,ld(X1,sFlat0)),
inference(step,[status(thm)],[t48049,t14]) ).
cnf(t48885,plain,
mult(rd(sFlat0,sFlat0),ld(X1,sFlat1)) = mult(a,ld(X1,sFlat0)),
inference(orient,[status(thm)],[t77032]) ).
cnf(t7195,plain,
rd(mult(X1,X2),ld(X3,X3)) = rd(mult(X3,X2),ld(X1,X3)),
inference(cp,[status(thm)],[t7154,t17]) ).
cnf(t7687,plain,
rd(mult(X1,X2),ld(X3,X3)) = rd(mult(X3,X2),ld(X1,X3)),
inference(orient,[status(thm)],[t7195]) ).
cnf(t7863,plain,
rd(mult(X1,sFlat0),ld(a,a)) = rd(sFlat1,ld(X1,a)),
inference(cp,[status(thm)],[t7687,t76]) ).
cnf(t8077,plain,
rd(mult(X1,sFlat0),ld(a,a)) = rd(sFlat1,ld(X1,a)),
inference(orient,[status(thm)],[t7863]) ).
cnf(t8091,plain,
rd(sFlat1,ld(rd(X1,sFlat0),a)) = rd(X1,ld(a,a)),
inference(cp,[status(thm)],[t8077,t14]) ).
cnf(t9021,plain,
rd(sFlat1,ld(rd(X1,sFlat0),a)) = rd(X1,ld(a,a)),
inference(orient,[status(thm)],[t8091]) ).
cnf(t9038,plain,
ld(rd(X1,sFlat0),a) = ld(rd(X1,ld(a,a)),sFlat1),
inference(cp,[status(thm)],[t102,t9021]) ).
cnf(t15198,plain,
ld(rd(X1,ld(a,a)),sFlat1) = ld(rd(X1,sFlat0),a),
inference(orient,[status(thm)],[t9038]) ).
cnf(t7864,plain,
rd(mult(X1,a),ld(a,a)) = rd(sFlat0,ld(X1,a)),
inference(cp,[status(thm)],[t7687,t56]) ).
cnf(t8109,plain,
rd(mult(X1,a),ld(a,a)) = rd(sFlat0,ld(X1,a)),
inference(orient,[status(thm)],[t7864]) ).
cnf(t8121,plain,
rd(sFlat0,ld(rd(X1,a),a)) = rd(X1,ld(a,a)),
inference(cp,[status(thm)],[t8109,t14]) ).
cnf(t9050,plain,
rd(sFlat0,ld(rd(X1,a),a)) = rd(X1,ld(a,a)),
inference(orient,[status(thm)],[t8121]) ).
cnf(t76749,plain,
rd(sFlat0,rd(ld(X1,sFlat1),a)) = rd(X1,ld(a,a)),
inference(step,[status(thm)],[t9050,t25540]) ).
cnf(t25601,plain,
rd(sFlat0,rd(ld(X1,sFlat1),a)) = rd(X1,ld(a,a)),
inference(rw,[status(thm)],[t76749]) ).
cnf(t26247,plain,
rd(sFlat0,rd(ld(X1,sFlat1),a)) = rd(X1,ld(a,a)),
inference(orient,[status(thm)],[t25601]) ).
cnf(t26269,plain,
rd(rd(sFlat1,X1),ld(a,a)) = rd(sFlat0,rd(X1,a)),
inference(cp,[status(thm)],[t26247,t102]) ).
cnf(t27046,plain,
rd(rd(sFlat1,X1),ld(a,a)) = rd(sFlat0,rd(X1,a)),
inference(orient,[status(thm)],[t26269]) ).
cnf(t27077,plain,
ld(rd(rd(sFlat1,X1),sFlat0),a) = ld(rd(sFlat0,rd(X1,a)),sFlat1),
inference(cp,[status(thm)],[t15198,t27046]) ).
cnf(t78,plain,
a = rd(sFlat1,sFlat0),
inference(cp,[status(thm)],[t15,t76]) ).
cnf(t98,plain,
rd(sFlat1,sFlat0) = a,
inference(orient,[status(thm)],[t78]) ).
cnf(t4675,plain,
rd(ld(X1,sFlat1),ld(sFlat0,sFlat0)) = ld(rd(X1,sFlat0),a),
inference(cp,[status(thm)],[t4567,t98]) ).
cnf(t4751,plain,
rd(ld(X1,sFlat1),ld(sFlat0,sFlat0)) = ld(rd(X1,sFlat0),a),
inference(orient,[status(thm)],[t4675]) ).
cnf(t4758,plain,
ld(rd(rd(sFlat1,X1),sFlat0),a) = rd(X1,ld(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t4751,t102]) ).
cnf(t5581,plain,
ld(rd(rd(sFlat1,X1),sFlat0),a) = rd(X1,ld(sFlat0,sFlat0)),
inference(orient,[status(thm)],[t4758]) ).
cnf(t76833,plain,
rd(X1,ld(sFlat0,sFlat0)) = ld(rd(sFlat0,rd(X1,a)),sFlat1),
inference(step,[status(thm)],[t27077,t5581]) ).
cnf(t32801,plain,
ld(rd(sFlat0,rd(X1,a)),sFlat1) = rd(X1,ld(sFlat0,sFlat0)),
inference(orient,[status(thm)],[t76833]) ).
cnf(t48896,plain,
mult(a,ld(rd(sFlat0,rd(X1,a)),sFlat0)) = mult(rd(sFlat0,sFlat0),rd(X1,ld(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t48885,t32801]) ).
cnf(t77033,plain,
mult(a,rd(X1,a)) = mult(rd(sFlat0,sFlat0),rd(X1,ld(sFlat0,sFlat0))),
inference(step,[status(thm)],[t48896,t102]) ).
cnf(t77034,plain,
mult(a,rd(X1,a)) = rd(mult(sFlat0,X1),mult(sFlat0,ld(sFlat0,sFlat0))),
inference(step,[status(thm)],[t77033,t568]) ).
cnf(t77035,plain,
mult(a,rd(X1,a)) = rd(mult(sFlat0,X1),sFlat0),
inference(step,[status(thm)],[t77034,t13]) ).
cnf(t48975,plain,
mult(a,rd(X1,a)) = rd(mult(sFlat0,X1),sFlat0),
inference(orient,[status(thm)],[t77035]) ).
cnf(t49014,plain,
rd(X1,a) = ld(a,rd(mult(sFlat0,X1),sFlat0)),
inference(cp,[status(thm)],[t17,t48975]) ).
cnf(t49425,plain,
ld(a,rd(mult(sFlat0,X1),sFlat0)) = rd(X1,a),
inference(orient,[status(thm)],[t49014]) ).
cnf(t49455,plain,
rd(ld(sFlat0,X1),a) = ld(a,rd(X1,sFlat0)),
inference(cp,[status(thm)],[t49425,t13]) ).
cnf(t49708,plain,
ld(a,rd(X1,sFlat0)) = rd(ld(sFlat0,X1),a),
inference(orient,[status(thm)],[t49455]) ).
cnf(t77050,plain,
ld(rd(b,a),rd(sFlat2,sFlat0)) = rd(ld(sFlat0,ld(sFlat4,sFlat3)),a),
inference(step,[status(thm)],[t33719,t49708]) ).
cnf(t49711,plain,
ld(rd(b,a),rd(sFlat2,sFlat0)) = rd(ld(sFlat0,ld(sFlat4,sFlat3)),a),
inference(orient,[status(thm)],[t77050]) ).
cnf(t985,plain,
mult(ld(X1,a),ld(a,a)) = ld(mult(X1,a),sFlat0),
inference(cp,[status(thm)],[t921,t56]) ).
cnf(t1095,plain,
mult(ld(X1,a),ld(a,a)) = ld(mult(X1,a),sFlat0),
inference(orient,[status(thm)],[t985]) ).
cnf(t1253,plain,
mult(rd(X1,a),ld(X2,a)) = rd(mult(X1,ld(mult(X2,a),sFlat0)),a),
inference(cp,[status(thm)],[t1246,t1095]) ).
cnf(t67660,plain,
rd(mult(X1,ld(mult(X2,a),sFlat0)),a) = mult(rd(X1,a),ld(X2,a)),
inference(orient,[status(thm)],[t1253]) ).
cnf(t67684,plain,
mult(rd(ld(rd(mult(X1,a),mult(X1,a)),X2),a),ld(X1,a)) = rd(ld(mult(X1,a),mult(X2,sFlat0)),a),
inference(cp,[status(thm)],[t67660,t3125]) ).
cnf(t23,plain,
mult(X1,X2) = ld(mult(rd(X1,X1),X3),mult(X1,mult(X3,X2))),
inference(cp,[status(thm)],[t17,t19]) ).
cnf(t841,plain,
ld(mult(rd(X1,X1),X2),mult(X1,mult(X2,X3))) = mult(X1,X3),
inference(orient,[status(thm)],[t23]) ).
cnf(t861,plain,
mult(X1,ld(X2,X3)) = ld(mult(rd(X1,X1),X2),mult(X1,X3)),
inference(cp,[status(thm)],[t841,t13]) ).
cnf(t1882,plain,
ld(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,ld(X2,X3)),
inference(orient,[status(thm)],[t861]) ).
cnf(t1894,plain,
mult(X1,ld(X2,ld(X1,X3))) = ld(mult(rd(X1,X1),X2),X3),
inference(cp,[status(thm)],[t1882,t13]) ).
cnf(t1938,plain,
ld(mult(rd(X1,X1),X2),X3) = mult(X1,ld(X2,ld(X1,X3))),
inference(orient,[status(thm)],[t1894]) ).
cnf(t1942,plain,
mult(X1,ld(rd(X2,X3),ld(X1,Y3))) = ld(rd(mult(X1,X2),mult(X1,X3)),Y3),
inference(cp,[status(thm)],[t1938,t568]) ).
cnf(t45868,plain,
ld(rd(mult(X1,X2),mult(X1,X3)),Y3) = mult(X1,ld(rd(X2,X3),ld(X1,Y3))),
inference(orient,[status(thm)],[t1942]) ).
cnf(t77291,plain,
mult(rd(mult(X1,ld(rd(a,a),ld(X1,X2))),a),ld(X1,a)) = rd(ld(mult(X1,a),mult(X2,sFlat0)),a),
inference(step,[status(thm)],[t67684,t45868]) ).
cnf(t3458,plain,
mult(rd(X1,ld(X2,X3)),X3) = mult(X2,ld(rd(X3,X3),X1)),
inference(cp,[status(thm)],[t3453,t101]) ).
cnf(t3558,plain,
mult(rd(X1,ld(X2,X3)),X3) = mult(X2,ld(rd(X3,X3),X1)),
inference(orient,[status(thm)],[t3458]) ).
cnf(t3654,plain,
rd(X1,ld(X2,X3)) = rd(mult(X2,ld(rd(X3,X3),X1)),X3),
inference(cp,[status(thm)],[t15,t3558]) ).
cnf(t24609,plain,
rd(mult(X1,ld(rd(X2,X2),X3)),X2) = rd(X3,ld(X1,X2)),
inference(orient,[status(thm)],[t3654]) ).
cnf(t77292,plain,
mult(rd(ld(X1,X2),ld(X1,a)),ld(X1,a)) = rd(ld(mult(X1,a),mult(X2,sFlat0)),a),
inference(step,[status(thm)],[t77291,t24609]) ).
cnf(t77293,plain,
ld(X1,X2) = rd(ld(mult(X1,a),mult(X2,sFlat0)),a),
inference(step,[status(thm)],[t77292,t14]) ).
cnf(t68854,plain,
rd(ld(mult(X1,a),mult(X2,sFlat0)),a) = ld(X1,X2),
inference(orient,[status(thm)],[t77293]) ).
cnf(t68904,plain,
ld(rd(X1,a),X2) = rd(ld(X1,mult(X2,sFlat0)),a),
inference(cp,[status(thm)],[t68854,t14]) ).
cnf(t69001,plain,
rd(ld(X1,mult(X2,sFlat0)),a) = ld(rd(X1,a),X2),
inference(orient,[status(thm)],[t68904]) ).
cnf(t69084,plain,
ld(rd(X1,a),rd(X2,sFlat0)) = rd(ld(X1,X2),a),
inference(cp,[status(thm)],[t69001,t14]) ).
cnf(t69551,plain,
ld(rd(X1,a),rd(X2,sFlat0)) = rd(ld(X1,X2),a),
inference(orient,[status(thm)],[t69084]) ).
cnf(t77297,plain,
rd(ld(b,sFlat2),a) = rd(ld(sFlat0,ld(sFlat4,sFlat3)),a),
inference(step,[status(thm)],[t49711,t69551]) ).
cnf(t70,plain,
c = ld(b,sFlat2),
inference(cp,[status(thm)],[t17,t69]) ).
cnf(t93,plain,
ld(b,sFlat2) = c,
inference(orient,[status(thm)],[t70]) ).
cnf(t77298,plain,
rd(c,a) = rd(ld(sFlat0,ld(sFlat4,sFlat3)),a),
inference(step,[status(thm)],[t77297,t93]) ).
cnf(t69691,plain,
rd(c,a) = rd(ld(sFlat0,ld(sFlat4,sFlat3)),a),
inference(rw,[status(thm)],[t77298]) ).
cnf(t76273,plain,
rd(ld(sFlat0,ld(sFlat4,sFlat3)),a) = rd(c,a),
inference(orient,[status(thm)],[t69691]) ).
cnf(t76286,plain,
ld(sFlat0,ld(sFlat4,sFlat3)) = mult(rd(c,a),a),
inference(cp,[status(thm)],[t14,t76273]) ).
cnf(t77382,plain,
ld(sFlat0,ld(sFlat4,sFlat3)) = c,
inference(step,[status(thm)],[t76286,t14]) ).
cnf(t76327,plain,
ld(sFlat0,ld(sFlat4,sFlat3)) = c,
inference(orient,[status(thm)],[t77382]) ).
cnf(t76328,plain,
ld(sFlat4,sFlat3) = mult(sFlat0,c),
inference(cp,[status(thm)],[t13,t76327]) ).
cnf(t77383,plain,
ld(sFlat4,sFlat3) = sFlat5,
inference(step,[status(thm)],[t76328,t81]) ).
cnf(t76384,plain,
ld(sFlat4,sFlat3) = sFlat5,
inference(orient,[status(thm)],[t77383]) ).
cnf(t76385,plain,
sFlat3 = mult(sFlat4,sFlat5),
inference(cp,[status(thm)],[t13,t76384]) ).
cnf(t77384,plain,
sFlat3 = sFlat6,
inference(step,[status(thm)],[t76385,t88]) ).
cnf(t76436,plain,
sFlat6 = sFlat3,
inference(orient,[status(thm)],[t77384]) ).
cnf(t77385,plain,
mult(sFlat4,sFlat5) = sFlat3,
inference(step,[status(thm)],[t88,t76436]) ).
cnf(t76437,plain,
mult(sFlat4,sFlat5) = sFlat3,
inference(orient,[status(thm)],[t77385]) ).
cnf(goal_0,negated_conjecture,
mult(mult(a,mult(a,a)),mult(b,c)) != mult(mult(a,b),mult(mult(a,a),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(mult(a,sFlat0),mult(b,c)) != mult(mult(a,b),mult(mult(a,a),c)),
inference(rw,[status(thm)],[goal_0,t56]) ).
cnf(g0_1,plain,
mult(sFlat1,mult(b,c)) != mult(mult(a,b),mult(mult(a,a),c)),
inference(rw,[status(thm)],[g0_0,t76]) ).
cnf(g0_2,plain,
mult(sFlat1,sFlat2) != mult(mult(a,b),mult(mult(a,a),c)),
inference(rw,[status(thm)],[g0_1,t69]) ).
cnf(g0_3,plain,
sFlat3 != mult(mult(a,b),mult(mult(a,a),c)),
inference(rw,[status(thm)],[g0_2,t103]) ).
cnf(g0_4,plain,
sFlat3 != mult(sFlat4,mult(mult(a,a),c)),
inference(rw,[status(thm)],[g0_3,t63]) ).
cnf(g0_5,plain,
sFlat3 != mult(sFlat4,mult(sFlat0,c)),
inference(rw,[status(thm)],[g0_4,t56]) ).
cnf(g0_6,plain,
sFlat3 != mult(sFlat4,sFlat5),
inference(rw,[status(thm)],[g0_5,t81]) ).
cnf(g0_7,plain,
sFlat3 != sFlat3,
inference(rw,[status(thm)],[g0_6,t76437]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP753-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/10.39 % Computer : n001.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Wed Sep 23 16:02:46 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 81.95/21.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 81.95/21.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------