%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP705-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 01:28:14 PM UTC 2026
% Result : Unsatisfiable 39.03s 10.34s
% Output : CNFRefutation 39.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 9
% Syntax : Number of clauses : 150 ( 150 unt; 0 nHn; 13 RR)
% Number of literals : 150 ( 149 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 307 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t5,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)],[t5]) ).
cnf(t3,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t16,plain,
X1 = rd(X2,ld(X1,X2)),
inference(cp,[status(thm)],[t15,t9]) ).
cnf(t45,plain,
rd(X1,ld(X2,X1)) = X2,
inference(orient,[status(thm)],[t16]) ).
cnf(t7,axiom,
mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t23,plain,
mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(orient,[status(thm)],[t7]) ).
cnf(t0,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
mult(X1,unit) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t25,plain,
mult(X1,mult(X2,mult(X2,unit))) = mult(mult(X1,X2),X2),
inference(cp,[status(thm)],[t23,t10]) ).
cnf(t72065,plain,
mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2),
inference(step,[status(thm)],[t25,t10]) ).
cnf(t53,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(orient,[status(thm)],[t72065]) ).
cnf(t72066,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(step,[status(thm)],[t23,t53]) ).
cnf(t61,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(rw,[status(thm)],[t72066]) ).
cnf(t168,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(orient,[status(thm)],[t61]) ).
cnf(t4,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
mult(rd(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t57,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(cp,[status(thm)],[t53,t13]) ).
cnf(t63,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t57]) ).
cnf(t175,plain,
mult(rd(X1,X2),mult(X2,mult(X2,X3))) = mult(mult(X1,X2),X3),
inference(cp,[status(thm)],[t168,t63]) ).
cnf(t1691,plain,
mult(rd(X1,X2),mult(X2,mult(X2,X3))) = mult(mult(X1,X2),X3),
inference(orient,[status(thm)],[t175]) ).
cnf(t1723,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,X2),mult(X2,X3)),
inference(cp,[status(thm)],[t1691,t9]) ).
cnf(t1785,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,X2),mult(X2,X3)),
inference(orient,[status(thm)],[t1723]) ).
cnf(t1,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t11,plain,
mult(unit,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t1814,plain,
mult(rd(unit,X1),mult(X1,X2)) = mult(X1,ld(X1,X2)),
inference(cp,[status(thm)],[t1785,t11]) ).
cnf(t72176,plain,
mult(rd(unit,X1),mult(X1,X2)) = X2,
inference(step,[status(thm)],[t1814,t9]) ).
cnf(t1855,plain,
mult(rd(unit,X1),mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t72176]) ).
cnf(t1864,plain,
ld(X1,X2) = mult(rd(unit,X1),X2),
inference(cp,[status(thm)],[t1855,t9]) ).
cnf(t1899,plain,
mult(rd(unit,X1),X2) = ld(X1,X2),
inference(orient,[status(thm)],[t1864]) ).
cnf(t1911,plain,
ld(ld(X1,unit),X2) = mult(X1,X2),
inference(cp,[status(thm)],[t1899,t45]) ).
cnf(t60,plain,
mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2),
inference(cp,[status(thm)],[t15,t53]) ).
cnf(t69,plain,
rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2),
inference(orient,[status(thm)],[t60]) ).
cnf(t72,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2),
inference(cp,[status(thm)],[t69,t13]) ).
cnf(t113,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2),
inference(orient,[status(thm)],[t72]) ).
cnf(t1901,plain,
ld(mult(X1,X1),X1) = rd(unit,X1),
inference(cp,[status(thm)],[t1899,t113]) ).
cnf(t2,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t21,plain,
X1 = ld(rd(X2,X1),X2),
inference(cp,[status(thm)],[t19,t13]) ).
cnf(t46,plain,
ld(rd(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t21]) ).
cnf(t177,plain,
mult(unit,mult(X1,mult(X1,X2))) = mult(mult(X1,X1),X2),
inference(cp,[status(thm)],[t168,t11]) ).
cnf(t72068,plain,
mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2),
inference(step,[status(thm)],[t177,t11]) ).
cnf(t198,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(orient,[status(thm)],[t72068]) ).
cnf(t210,plain,
mult(X1,X1) = rd(mult(X1,mult(X1,X2)),X2),
inference(cp,[status(thm)],[t15,t198]) ).
cnf(t259,plain,
rd(mult(X1,mult(X1,X2)),X2) = mult(X1,X1),
inference(orient,[status(thm)],[t210]) ).
cnf(t263,plain,
mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)),
inference(cp,[status(thm)],[t259,t9]) ).
cnf(t287,plain,
rd(mult(X1,X2),ld(X1,X2)) = mult(X1,X1),
inference(orient,[status(thm)],[t263]) ).
cnf(t288,plain,
mult(X1,X1) = rd(X2,ld(X1,ld(X1,X2))),
inference(cp,[status(thm)],[t287,t9]) ).
cnf(t348,plain,
rd(X1,ld(X2,ld(X2,X1))) = mult(X2,X2),
inference(orient,[status(thm)],[t288]) ).
cnf(t360,plain,
ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2),
inference(cp,[status(thm)],[t46,t348]) ).
cnf(t362,plain,
ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)),
inference(orient,[status(thm)],[t360]) ).
cnf(t72177,plain,
ld(X1,ld(X1,X1)) = rd(unit,X1),
inference(step,[status(thm)],[t1901,t362]) ).
cnf(t20,plain,
unit = ld(X1,X1),
inference(cp,[status(thm)],[t19,t10]) ).
cnf(t44,plain,
ld(X1,X1) = unit,
inference(orient,[status(thm)],[t20]) ).
cnf(t72178,plain,
ld(X1,unit) = rd(unit,X1),
inference(step,[status(thm)],[t72177,t44]) ).
cnf(t1975,plain,
ld(X1,unit) = rd(unit,X1),
inference(orient,[status(thm)],[t72178]) ).
cnf(t72191,plain,
ld(rd(unit,X1),X2) = mult(X1,X2),
inference(step,[status(thm)],[t1911,t1975]) ).
cnf(t2017,plain,
ld(rd(unit,X1),X2) = mult(X1,X2),
inference(orient,[status(thm)],[t72191]) ).
cnf(t2026,plain,
rd(unit,X1) = rd(X2,mult(X1,X2)),
inference(cp,[status(thm)],[t45,t2017]) ).
cnf(t2096,plain,
rd(X1,mult(X2,X1)) = rd(unit,X2),
inference(orient,[status(thm)],[t2026]) ).
cnf(t187,plain,
mult(X1,mult(X2,X2)) = rd(mult(X1,mult(X2,mult(X2,X3))),X3),
inference(cp,[status(thm)],[t15,t168]) ).
cnf(t5631,plain,
rd(mult(X1,mult(X2,mult(X2,X3))),X3) = mult(X1,mult(X2,X2)),
inference(orient,[status(thm)],[t187]) ).
cnf(t1982,plain,
mult(rd(X1,X2),mult(X2,unit)) = mult(mult(X1,X2),rd(unit,X2)),
inference(cp,[status(thm)],[t1785,t1975]) ).
cnf(t72222,plain,
mult(rd(X1,X2),X2) = mult(mult(X1,X2),rd(unit,X2)),
inference(step,[status(thm)],[t1982,t10]) ).
cnf(t72223,plain,
X1 = mult(mult(X1,X2),rd(unit,X2)),
inference(step,[status(thm)],[t72222,t13]) ).
cnf(t2319,plain,
mult(mult(X1,X2),rd(unit,X2)) = X1,
inference(orient,[status(thm)],[t72223]) ).
cnf(t2339,plain,
rd(X1,X2) = mult(X1,rd(unit,X2)),
inference(cp,[status(thm)],[t2319,t13]) ).
cnf(t2360,plain,
mult(X1,rd(unit,X2)) = rd(X1,X2),
inference(orient,[status(thm)],[t2339]) ).
cnf(t2371,plain,
rd(X1,ld(X2,unit)) = mult(X1,X2),
inference(cp,[status(thm)],[t2360,t45]) ).
cnf(t72224,plain,
rd(X1,rd(unit,X2)) = mult(X1,X2),
inference(step,[status(thm)],[t2371,t1975]) ).
cnf(t2412,plain,
rd(X1,rd(unit,X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t72224]) ).
cnf(t5633,plain,
mult(X1,mult(X2,X2)) = mult(mult(X1,mult(X2,mult(X2,rd(unit,X3)))),X3),
inference(cp,[status(thm)],[t5631,t2412]) ).
cnf(t72378,plain,
mult(X1,mult(X2,X2)) = mult(mult(X1,mult(X2,rd(X2,X3))),X3),
inference(step,[status(thm)],[t5633,t2360]) ).
cnf(t1935,plain,
rd(unit,X1) = rd(ld(X1,X2),X2),
inference(cp,[status(thm)],[t15,t1899]) ).
cnf(t2036,plain,
rd(ld(X1,X2),X2) = rd(unit,X1),
inference(orient,[status(thm)],[t1935]) ).
cnf(t2058,plain,
rd(unit,rd(X1,X2)) = rd(X2,X1),
inference(cp,[status(thm)],[t2036,t46]) ).
cnf(t2132,plain,
rd(unit,rd(X1,X2)) = rd(X2,X1),
inference(orient,[status(thm)],[t2058]) ).
cnf(t2369,plain,
rd(X1,rd(X2,X3)) = mult(X1,rd(X3,X2)),
inference(cp,[status(thm)],[t2360,t2132]) ).
cnf(t2631,plain,
mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)),
inference(orient,[status(thm)],[t2369]) ).
cnf(t72379,plain,
mult(X1,mult(X2,X2)) = mult(mult(X1,rd(X2,rd(X3,X2))),X3),
inference(step,[status(thm)],[t72378,t2631]) ).
cnf(t72380,plain,
mult(X1,mult(X2,X2)) = mult(rd(X1,rd(rd(X3,X2),X2)),X3),
inference(step,[status(thm)],[t72379,t2631]) ).
cnf(t68,plain,
rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)),
inference(cp,[status(thm)],[t15,t63]) ).
cnf(t97,plain,
rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2),
inference(orient,[status(thm)],[t68]) ).
cnf(t101,plain,
rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(cp,[status(thm)],[t97,t13]) ).
cnf(t105,plain,
rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(orient,[status(thm)],[t101]) ).
cnf(t72381,plain,
mult(X1,mult(X2,X2)) = mult(rd(X1,rd(X3,mult(X2,X2))),X3),
inference(step,[status(thm)],[t72380,t105]) ).
cnf(t7796,plain,
mult(rd(X1,rd(X2,mult(X3,X3))),X2) = mult(X1,mult(X3,X3)),
inference(orient,[status(thm)],[t72381]) ).
cnf(t7873,plain,
rd(unit,rd(X1,rd(X2,mult(X3,X3)))) = rd(X2,mult(X1,mult(X3,X3))),
inference(cp,[status(thm)],[t2096,t7796]) ).
cnf(t72382,plain,
rd(rd(X2,mult(X3,X3)),X1) = rd(X2,mult(X1,mult(X3,X3))),
inference(step,[status(thm)],[t7873,t2132]) ).
cnf(t7916,plain,
rd(rd(X1,mult(X2,X2)),X3) = rd(X1,mult(X3,mult(X2,X2))),
inference(orient,[status(thm)],[t72382]) ).
cnf(t7838,plain,
mult(X1,mult(X2,X2)) = mult(rd(X1,rd(unit,X3)),ld(X3,mult(X2,X2))),
inference(cp,[status(thm)],[t7796,t2036]) ).
cnf(t2389,plain,
rd(unit,X1) = ld(X2,rd(X2,X1)),
inference(cp,[status(thm)],[t19,t2360]) ).
cnf(t2425,plain,
ld(X1,rd(X1,X2)) = rd(unit,X2),
inference(orient,[status(thm)],[t2389]) ).
cnf(t2431,plain,
rd(unit,ld(X1,X2)) = ld(X2,X1),
inference(cp,[status(thm)],[t2425,t45]) ).
cnf(t2476,plain,
rd(unit,ld(X1,X2)) = ld(X2,X1),
inference(orient,[status(thm)],[t2431]) ).
cnf(t2489,plain,
mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)),
inference(cp,[status(thm)],[t2412,t2476]) ).
cnf(t2724,plain,
mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)),
inference(orient,[status(thm)],[t2489]) ).
cnf(t72436,plain,
mult(X1,mult(X2,X2)) = rd(rd(X1,rd(unit,X3)),ld(mult(X2,X2),X3)),
inference(step,[status(thm)],[t7838,t2724]) ).
cnf(t72437,plain,
mult(X1,mult(X2,X2)) = rd(mult(X1,X3),ld(mult(X2,X2),X3)),
inference(step,[status(thm)],[t72436,t2412]) ).
cnf(t72438,plain,
mult(X1,mult(X2,X2)) = rd(mult(X1,X3),ld(X2,ld(X2,X3))),
inference(step,[status(thm)],[t72437,t362]) ).
cnf(t10193,plain,
rd(mult(X1,X2),ld(X3,ld(X3,X2))) = mult(X1,mult(X3,X3)),
inference(orient,[status(thm)],[t72438]) ).
cnf(t10224,plain,
mult(rd(X1,X2),mult(X3,X3)) = rd(X1,ld(X3,ld(X3,X2))),
inference(cp,[status(thm)],[t10193,t13]) ).
cnf(t10289,plain,
mult(rd(X1,X2),mult(X3,X3)) = rd(X1,ld(X3,ld(X3,X2))),
inference(orient,[status(thm)],[t10224]) ).
cnf(t10364,plain,
rd(X1,ld(rd(unit,X2),ld(rd(unit,X2),X3))) = mult(rd(X1,X3),ld(X2,rd(unit,X2))),
inference(cp,[status(thm)],[t10289,t1899]) ).
cnf(t72449,plain,
rd(X1,mult(X2,ld(rd(unit,X2),X3))) = mult(rd(X1,X3),ld(X2,rd(unit,X2))),
inference(step,[status(thm)],[t10364,t2017]) ).
cnf(t72450,plain,
rd(X1,rd(X2,ld(X3,rd(unit,X2)))) = mult(rd(X1,X3),ld(X2,rd(unit,X2))),
inference(step,[status(thm)],[t72449,t2724]) ).
cnf(t2361,plain,
rd(rd(unit,X1),X2) = ld(X1,rd(unit,X2)),
inference(cp,[status(thm)],[t2360,t1899]) ).
cnf(t2529,plain,
ld(X1,rd(unit,X2)) = rd(rd(unit,X1),X2),
inference(orient,[status(thm)],[t2361]) ).
cnf(t2420,plain,
rd(rd(unit,X1),X2) = rd(unit,mult(X2,X1)),
inference(cp,[status(thm)],[t2132,t2412]) ).
cnf(t2690,plain,
rd(rd(unit,X1),X2) = rd(unit,mult(X2,X1)),
inference(orient,[status(thm)],[t2420]) ).
cnf(t72233,plain,
ld(X1,rd(unit,X2)) = rd(unit,mult(X2,X1)),
inference(step,[status(thm)],[t2529,t2690]) ).
cnf(t2691,plain,
ld(X1,rd(unit,X2)) = rd(unit,mult(X2,X1)),
inference(orient,[status(thm)],[t72233]) ).
cnf(t72451,plain,
rd(X1,rd(X2,rd(unit,mult(X2,X3)))) = mult(rd(X1,X3),ld(X2,rd(unit,X2))),
inference(step,[status(thm)],[t72450,t2691]) ).
cnf(t72452,plain,
rd(X1,mult(X2,mult(X2,X3))) = mult(rd(X1,X3),ld(X2,rd(unit,X2))),
inference(step,[status(thm)],[t72451,t2412]) ).
cnf(t72453,plain,
rd(X1,mult(X2,mult(X2,X3))) = rd(rd(X1,X3),ld(rd(unit,X2),X2)),
inference(step,[status(thm)],[t72452,t2724]) ).
cnf(t72454,plain,
rd(X1,mult(X2,mult(X2,X3))) = rd(rd(X1,X3),mult(X2,X2)),
inference(step,[status(thm)],[t72453,t2017]) ).
cnf(t10727,plain,
rd(rd(X1,X2),mult(X3,X3)) = rd(X1,mult(X3,mult(X3,X2))),
inference(orient,[status(thm)],[t72454]) ).
cnf(t10814,plain,
rd(rd(X1,X2),mult(X3,mult(Y3,Y3))) = rd(rd(X1,mult(Y3,mult(Y3,X2))),X3),
inference(cp,[status(thm)],[t7916,t10727]) ).
cnf(t70639,plain,
rd(rd(X1,mult(X2,mult(X2,X3))),Y3) = rd(rd(X1,X3),mult(Y3,mult(X2,X2))),
inference(orient,[status(thm)],[t10814]) ).
cnf(t8,axiom,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t33,plain,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))) = unit,
inference(orient,[status(thm)],[t8]) ).
cnf(t34,plain,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = ld(op_b,unit),
inference(cp,[status(thm)],[t19,t33]) ).
cnf(t318,plain,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = ld(op_b,unit),
inference(orient,[status(thm)],[t34]) ).
cnf(t323,plain,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))) = ld(op_b,ld(op_b,unit)),
inference(cp,[status(thm)],[t19,t318]) ).
cnf(t73453,plain,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))) = ld(op_b,rd(unit,op_b)),
inference(step,[status(thm)],[t323,t1975]) ).
cnf(t73454,plain,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))) = rd(unit,mult(op_b,op_b)),
inference(step,[status(thm)],[t73453,t2691]) ).
cnf(t64794,plain,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))) = rd(unit,mult(op_b,op_b)),
inference(orient,[status(thm)],[t73454]) ).
cnf(t70768,plain,
rd(rd(X1,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))),mult(X2,mult(op_b,op_b))) = rd(rd(X1,mult(op_b,rd(unit,mult(op_b,op_b)))),X2),
inference(cp,[status(thm)],[t70639,t64794]) ).
cnf(t73497,plain,
rd(rd(X1,mult(op_b,mult(op_b,mult(op_b,op_b)))),mult(mult(X2,mult(op_b,op_b)),mult(op_b,op_b))) = rd(rd(X1,mult(op_b,rd(unit,mult(op_b,op_b)))),X2),
inference(step,[status(thm)],[t70768,t70639]) ).
cnf(t73498,plain,
rd(rd(X1,mult(op_b,op_b)),mult(mult(mult(X2,mult(op_b,op_b)),mult(op_b,op_b)),mult(op_b,op_b))) = rd(rd(X1,mult(op_b,rd(unit,mult(op_b,op_b)))),X2),
inference(step,[status(thm)],[t73497,t70639]) ).
cnf(t73499,plain,
rd(X1,mult(mult(mult(mult(X2,mult(op_b,op_b)),mult(op_b,op_b)),mult(op_b,op_b)),mult(op_b,op_b))) = rd(rd(X1,mult(op_b,rd(unit,mult(op_b,op_b)))),X2),
inference(step,[status(thm)],[t73498,t7916]) ).
cnf(t73500,plain,
rd(X1,mult(mult(mult(X2,mult(op_b,op_b)),mult(op_b,op_b)),mult(op_b,mult(op_b,mult(op_b,op_b))))) = rd(rd(X1,mult(op_b,rd(unit,mult(op_b,op_b)))),X2),
inference(step,[status(thm)],[t73499,t168]) ).
cnf(t73501,plain,
rd(X1,mult(mult(X2,mult(op_b,op_b)),mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = rd(rd(X1,mult(op_b,rd(unit,mult(op_b,op_b)))),X2),
inference(step,[status(thm)],[t73500,t168]) ).
cnf(t73502,plain,
rd(X1,mult(X2,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))))) = rd(rd(X1,mult(op_b,rd(unit,mult(op_b,op_b)))),X2),
inference(step,[status(thm)],[t73501,t168]) ).
cnf(t72179,plain,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = rd(unit,op_b),
inference(step,[status(thm)],[t318,t1975]) ).
cnf(t1976,plain,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = rd(unit,op_b),
inference(orient,[status(thm)],[t72179]) ).
cnf(t73503,plain,
rd(X1,mult(X2,rd(unit,op_b))) = rd(rd(X1,mult(op_b,rd(unit,mult(op_b,op_b)))),X2),
inference(step,[status(thm)],[t73502,t1976]) ).
cnf(t73504,plain,
rd(X1,rd(X2,op_b)) = rd(rd(X1,mult(op_b,rd(unit,mult(op_b,op_b)))),X2),
inference(step,[status(thm)],[t73503,t2360]) ).
cnf(t73505,plain,
rd(X1,rd(X2,op_b)) = rd(rd(X1,rd(op_b,mult(op_b,op_b))),X2),
inference(step,[status(thm)],[t73504,t2360]) ).
cnf(t73506,plain,
rd(X1,rd(X2,op_b)) = rd(rd(X1,rd(unit,op_b)),X2),
inference(step,[status(thm)],[t73505,t2096]) ).
cnf(t73507,plain,
rd(X1,rd(X2,op_b)) = rd(mult(X1,op_b),X2),
inference(step,[status(thm)],[t73506,t2412]) ).
cnf(t71015,plain,
rd(mult(X1,op_b),X2) = rd(X1,rd(X2,op_b)),
inference(orient,[status(thm)],[t73507]) ).
cnf(t71043,plain,
rd(X1,rd(rd(unit,X2),op_b)) = mult(mult(X1,op_b),X2),
inference(cp,[status(thm)],[t71015,t2412]) ).
cnf(t73513,plain,
rd(X1,rd(unit,mult(op_b,X2))) = mult(mult(X1,op_b),X2),
inference(step,[status(thm)],[t71043,t2690]) ).
cnf(t73514,plain,
mult(X1,mult(op_b,X2)) = mult(mult(X1,op_b),X2),
inference(step,[status(thm)],[t73513,t2412]) ).
cnf(t71753,plain,
mult(mult(X1,op_b),X2) = mult(X1,mult(op_b,X2)),
inference(orient,[status(thm)],[t73514]) ).
cnf(goal_0,negated_conjecture,
mult(op_a,mult(op_b,a)) != mult(mult(op_a,op_b),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(op_a,mult(op_b,a)) != mult(op_a,mult(op_b,a)),
inference(rw,[status(thm)],[goal_0,t71753]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP705-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.06/5.35 % Computer : n005.cluster.edu
% 0.06/5.35 % Model : x86_64 x86_64
% 0.06/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/5.35 % Memory : 8046.5625MB
% 0.06/5.35 % OS : Linux 6.8.0-71-generic
% 0.06/5.35 % CPULimit : 300
% 0.06/5.35 % WCLimit : 300
% 0.06/5.35 % DateTime : Wed Sep 23 15:47:09 UTC 2026
% 0.06/5.35 % CPUTime :
% 0.06/5.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 39.03/10.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.03/10.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------