%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP584-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 01:27:35 PM UTC 2026
% Result : Unsatisfiable 5.86s 1.29s
% Output : CNFRefutation 5.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 5
% Syntax : Number of clauses : 161 ( 161 unt; 0 nHn; 21 RR)
% Number of literals : 161 ( 160 equ; 2 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 : 212 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),double_divide(identity,identity)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),double_divide(identity,identity)) = X3,
inference(orient,[status(thm)],[t3]) ).
cnf(t0,axiom,
double_divide(X1,identity) = inverse(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
double_divide(X1,identity) = inverse(X1),
inference(orient,[status(thm)],[t0]) ).
cnf(t718,plain,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),inverse(identity)) = X3,
inference(step,[status(thm)],[t4,t7]) ).
cnf(t8,plain,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),inverse(identity)) = X3,
inference(rw,[status(thm)],[t718]) ).
cnf(t69,plain,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),inverse(identity)) = X3,
inference(orient,[status(thm)],[t8]) ).
cnf(t70,plain,
X1 = double_divide(double_divide(X2,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X2)))),inverse(identity)),
inference(cp,[status(thm)],[t69,t7]) ).
cnf(t176,plain,
double_divide(double_divide(X1,double_divide(inverse(identity),double_divide(X2,double_divide(identity,X1)))),inverse(identity)) = X2,
inference(orient,[status(thm)],[t70]) ).
cnf(t1,axiom,
double_divide(X1,inverse(X1)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
double_divide(X1,inverse(X1)) = identity,
inference(orient,[status(thm)],[t1]) ).
cnf(t73,plain,
X1 = double_divide(double_divide(inverse(X2),double_divide(double_divide(identity,X2),double_divide(X1,identity))),inverse(identity)),
inference(cp,[status(thm)],[t69,t9]) ).
cnf(t720,plain,
X1 = double_divide(double_divide(inverse(X2),double_divide(double_divide(identity,X2),inverse(X1))),inverse(identity)),
inference(step,[status(thm)],[t73,t7]) ).
cnf(t84,plain,
double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),inverse(X2))),inverse(identity)) = X2,
inference(orient,[status(thm)],[t720]) ).
cnf(t91,plain,
X1 = double_divide(double_divide(inverse(inverse(identity)),double_divide(identity,inverse(X1))),inverse(identity)),
inference(cp,[status(thm)],[t84,t9]) ).
cnf(t2,axiom,
double_divide(double_divide(X1,X2),identity) = multiply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t719,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(step,[status(thm)],[t2,t7]) ).
cnf(t10,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(orient,[status(thm)],[t719]) ).
cnf(t11,plain,
multiply(identity,X1) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t10,t7]) ).
cnf(t14,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t11]) ).
cnf(t724,plain,
X1 = double_divide(double_divide(multiply(identity,identity),double_divide(identity,inverse(X1))),inverse(identity)),
inference(step,[status(thm)],[t91,t14]) ).
cnf(t125,plain,
double_divide(double_divide(multiply(identity,identity),double_divide(identity,inverse(X1))),inverse(identity)) = X1,
inference(orient,[status(thm)],[t724]) ).
cnf(t127,plain,
double_divide(X1,X2) = double_divide(double_divide(multiply(identity,identity),double_divide(identity,multiply(X2,X1))),inverse(identity)),
inference(cp,[status(thm)],[t125,t10]) ).
cnf(t168,plain,
double_divide(double_divide(multiply(identity,identity),double_divide(identity,multiply(X1,X2))),inverse(identity)) = double_divide(X2,X1),
inference(orient,[status(thm)],[t127]) ).
cnf(t177,plain,
X1 = double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X1,inverse(identity)))),inverse(identity)),
inference(cp,[status(thm)],[t176,t7]) ).
cnf(t185,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X1,inverse(identity)))),inverse(identity)) = X1,
inference(orient,[status(thm)],[t177]) ).
cnf(t186,plain,
identity = double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)),
inference(cp,[status(thm)],[t185,t9]) ).
cnf(t727,plain,
identity = double_divide(double_divide(identity,inverse(inverse(identity))),inverse(identity)),
inference(step,[status(thm)],[t186,t7]) ).
cnf(t728,plain,
identity = double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)),
inference(step,[status(thm)],[t727,t14]) ).
cnf(t204,plain,
double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) = identity,
inference(orient,[status(thm)],[t728]) ).
cnf(t210,plain,
identity = double_divide(double_divide(inverse(multiply(identity,identity)),identity),inverse(identity)),
inference(cp,[status(thm)],[t84,t204]) ).
cnf(t729,plain,
identity = double_divide(inverse(inverse(multiply(identity,identity))),inverse(identity)),
inference(step,[status(thm)],[t210,t7]) ).
cnf(t730,plain,
identity = double_divide(multiply(identity,multiply(identity,identity)),inverse(identity)),
inference(step,[status(thm)],[t729,t14]) ).
cnf(t89,plain,
double_divide(identity,X1) = double_divide(double_divide(inverse(X1),identity),inverse(identity)),
inference(cp,[status(thm)],[t84,t9]) ).
cnf(t721,plain,
double_divide(identity,X1) = double_divide(inverse(inverse(X1)),inverse(identity)),
inference(step,[status(thm)],[t89,t7]) ).
cnf(t722,plain,
double_divide(identity,X1) = double_divide(multiply(identity,X1),inverse(identity)),
inference(step,[status(thm)],[t721,t14]) ).
cnf(t100,plain,
double_divide(multiply(identity,X1),inverse(identity)) = double_divide(identity,X1),
inference(orient,[status(thm)],[t722]) ).
cnf(t731,plain,
identity = double_divide(identity,multiply(identity,identity)),
inference(step,[status(thm)],[t730,t100]) ).
cnf(t213,plain,
double_divide(identity,multiply(identity,identity)) = identity,
inference(orient,[status(thm)],[t731]) ).
cnf(t219,plain,
double_divide(identity,identity) = double_divide(double_divide(multiply(identity,identity),identity),inverse(identity)),
inference(cp,[status(thm)],[t168,t213]) ).
cnf(t732,plain,
inverse(identity) = double_divide(double_divide(multiply(identity,identity),identity),inverse(identity)),
inference(step,[status(thm)],[t219,t7]) ).
cnf(t733,plain,
inverse(identity) = double_divide(inverse(multiply(identity,identity)),inverse(identity)),
inference(step,[status(thm)],[t732,t7]) ).
cnf(t17,plain,
multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)),
inference(cp,[status(thm)],[t14,t14]) ).
cnf(t21,plain,
inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)),
inference(orient,[status(thm)],[t17]) ).
cnf(t734,plain,
inverse(identity) = double_divide(multiply(identity,inverse(identity)),inverse(identity)),
inference(step,[status(thm)],[t733,t21]) ).
cnf(t735,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(step,[status(thm)],[t734,t100]) ).
cnf(t736,plain,
inverse(identity) = identity,
inference(step,[status(thm)],[t735,t9]) ).
cnf(t225,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t736]) ).
cnf(t799,plain,
double_divide(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1)))),inverse(identity)) = X2,
inference(step,[status(thm)],[t176,t225]) ).
cnf(t800,plain,
double_divide(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1)))),identity) = X2,
inference(step,[status(thm)],[t799,t225]) ).
cnf(t801,plain,
inverse(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1))))) = X2,
inference(step,[status(thm)],[t800,t7]) ).
cnf(t802,plain,
multiply(double_divide(identity,double_divide(X2,double_divide(identity,X1))),X1) = X2,
inference(step,[status(thm)],[t801,t10]) ).
cnf(t263,plain,
multiply(double_divide(identity,double_divide(X2,double_divide(identity,X1))),X1) = X2,
inference(rw,[status(thm)],[t802]) ).
cnf(t15,plain,
multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)),
inference(cp,[status(thm)],[t14,t10]) ).
cnf(t29,plain,
multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)),
inference(orient,[status(thm)],[t15]) ).
cnf(t101,plain,
double_divide(identity,double_divide(X1,X2)) = double_divide(inverse(multiply(X2,X1)),inverse(identity)),
inference(cp,[status(thm)],[t100,t29]) ).
cnf(t109,plain,
double_divide(inverse(multiply(X1,X2)),inverse(identity)) = double_divide(identity,double_divide(X2,X1)),
inference(orient,[status(thm)],[t101]) ).
cnf(t754,plain,
double_divide(inverse(multiply(X1,X2)),identity) = double_divide(identity,double_divide(X2,X1)),
inference(step,[status(thm)],[t109,t225]) ).
cnf(t755,plain,
inverse(inverse(multiply(X1,X2))) = double_divide(identity,double_divide(X2,X1)),
inference(step,[status(thm)],[t754,t7]) ).
cnf(t756,plain,
multiply(identity,multiply(X1,X2)) = double_divide(identity,double_divide(X2,X1)),
inference(step,[status(thm)],[t755,t14]) ).
cnf(t250,plain,
multiply(identity,multiply(X1,X2)) = double_divide(identity,double_divide(X2,X1)),
inference(rw,[status(thm)],[t756]) ).
cnf(t311,plain,
double_divide(identity,double_divide(X1,X2)) = multiply(identity,multiply(X2,X1)),
inference(orient,[status(thm)],[t250]) ).
cnf(t846,plain,
multiply(multiply(identity,multiply(double_divide(identity,X1),X2)),X1) = X2,
inference(step,[status(thm)],[t263,t311]) ).
cnf(t450,plain,
multiply(multiply(identity,multiply(double_divide(identity,X1),X2)),X1) = X2,
inference(orient,[status(thm)],[t846]) ).
cnf(t787,plain,
double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),inverse(X2))),identity) = X2,
inference(step,[status(thm)],[t84,t225]) ).
cnf(t788,plain,
inverse(double_divide(inverse(X1),double_divide(double_divide(identity,X1),inverse(X2)))) = X2,
inference(step,[status(thm)],[t787,t7]) ).
cnf(t789,plain,
multiply(double_divide(double_divide(identity,X1),inverse(X2)),inverse(X1)) = X2,
inference(step,[status(thm)],[t788,t10]) ).
cnf(t260,plain,
multiply(double_divide(double_divide(identity,X1),inverse(X2)),inverse(X1)) = X2,
inference(rw,[status(thm)],[t789]) ).
cnf(t365,plain,
multiply(double_divide(double_divide(identity,X1),inverse(X2)),inverse(X1)) = X2,
inference(orient,[status(thm)],[t260]) ).
cnf(t369,plain,
identity = multiply(double_divide(double_divide(identity,X1),identity),inverse(X1)),
inference(cp,[status(thm)],[t365,t225]) ).
cnf(t831,plain,
identity = multiply(inverse(double_divide(identity,X1)),inverse(X1)),
inference(step,[status(thm)],[t369,t7]) ).
cnf(t832,plain,
identity = multiply(multiply(X1,identity),inverse(X1)),
inference(step,[status(thm)],[t831,t10]) ).
cnf(t381,plain,
multiply(multiply(X1,identity),inverse(X1)) = identity,
inference(orient,[status(thm)],[t832]) ).
cnf(t90,plain,
X1 = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X1))),inverse(identity)),
inference(cp,[status(thm)],[t84,t7]) ).
cnf(t116,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X1))),inverse(identity)) = X1,
inference(orient,[status(thm)],[t90]) ).
cnf(t782,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),inverse(X1))),inverse(identity)) = X1,
inference(step,[status(thm)],[t116,t225]) ).
cnf(t783,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X1))),inverse(identity)) = X1,
inference(step,[status(thm)],[t782,t225]) ).
cnf(t784,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X1))),identity) = X1,
inference(step,[status(thm)],[t783,t225]) ).
cnf(t785,plain,
inverse(double_divide(identity,double_divide(identity,inverse(X1)))) = X1,
inference(step,[status(thm)],[t784,t7]) ).
cnf(t786,plain,
multiply(double_divide(identity,inverse(X1)),identity) = X1,
inference(step,[status(thm)],[t785,t10]) ).
cnf(t259,plain,
multiply(double_divide(identity,inverse(X1)),identity) = X1,
inference(rw,[status(thm)],[t786]) ).
cnf(t750,plain,
double_divide(multiply(identity,X1),identity) = double_divide(identity,X1),
inference(step,[status(thm)],[t100,t225]) ).
cnf(t751,plain,
inverse(multiply(identity,X1)) = double_divide(identity,X1),
inference(step,[status(thm)],[t750,t7]) ).
cnf(t752,plain,
multiply(identity,inverse(X1)) = double_divide(identity,X1),
inference(step,[status(thm)],[t751,t21]) ).
cnf(t248,plain,
multiply(identity,inverse(X1)) = double_divide(identity,X1),
inference(rw,[status(thm)],[t752]) ).
cnf(t265,plain,
multiply(identity,inverse(X1)) = double_divide(identity,X1),
inference(orient,[status(thm)],[t248]) ).
cnf(t803,plain,
inverse(multiply(identity,X1)) = double_divide(identity,X1),
inference(step,[status(thm)],[t21,t265]) ).
cnf(t266,plain,
inverse(multiply(identity,X1)) = double_divide(identity,X1),
inference(orient,[status(thm)],[t803]) ).
cnf(t275,plain,
double_divide(identity,inverse(X1)) = inverse(double_divide(identity,X1)),
inference(cp,[status(thm)],[t266,t265]) ).
cnf(t813,plain,
double_divide(identity,inverse(X1)) = multiply(X1,identity),
inference(step,[status(thm)],[t275,t10]) ).
cnf(t282,plain,
double_divide(identity,inverse(X1)) = multiply(X1,identity),
inference(orient,[status(thm)],[t813]) ).
cnf(t814,plain,
multiply(multiply(X1,identity),identity) = X1,
inference(step,[status(thm)],[t259,t282]) ).
cnf(t302,plain,
multiply(multiply(X1,identity),identity) = X1,
inference(orient,[status(thm)],[t814]) ).
cnf(t383,plain,
identity = multiply(X1,inverse(multiply(X1,identity))),
inference(cp,[status(thm)],[t381,t302]) ).
cnf(t289,plain,
multiply(inverse(X1),identity) = inverse(multiply(X1,identity)),
inference(cp,[status(thm)],[t10,t282]) ).
cnf(t290,plain,
inverse(multiply(X1,identity)) = multiply(inverse(X1),identity),
inference(orient,[status(thm)],[t289]) ).
cnf(t833,plain,
identity = multiply(X1,multiply(inverse(X1),identity)),
inference(step,[status(thm)],[t383,t290]) ).
cnf(t389,plain,
multiply(X1,multiply(inverse(X1),identity)) = identity,
inference(orient,[status(thm)],[t833]) ).
cnf(t392,plain,
identity = multiply(inverse(X1),multiply(multiply(identity,X1),identity)),
inference(cp,[status(thm)],[t389,t14]) ).
cnf(t283,plain,
multiply(multiply(identity,X1),identity) = double_divide(identity,double_divide(identity,X1)),
inference(cp,[status(thm)],[t282,t266]) ).
cnf(t817,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)),
inference(step,[status(thm)],[t283,t311]) ).
cnf(t318,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)),
inference(orient,[status(thm)],[t817]) ).
cnf(t838,plain,
identity = multiply(inverse(X1),multiply(identity,multiply(X1,identity))),
inference(step,[status(thm)],[t392,t318]) ).
cnf(t421,plain,
multiply(inverse(X1),multiply(identity,multiply(X1,identity))) = identity,
inference(orient,[status(thm)],[t838]) ).
cnf(t422,plain,
identity = multiply(double_divide(identity,X1),multiply(identity,multiply(multiply(identity,X1),identity))),
inference(cp,[status(thm)],[t421,t266]) ).
cnf(t839,plain,
identity = multiply(double_divide(identity,X1),multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(step,[status(thm)],[t422,t318]) ).
cnf(t105,plain,
multiply(inverse(identity),multiply(identity,X1)) = inverse(double_divide(identity,X1)),
inference(cp,[status(thm)],[t10,t100]) ).
cnf(t723,plain,
multiply(inverse(identity),multiply(identity,X1)) = multiply(X1,identity),
inference(step,[status(thm)],[t105,t10]) ).
cnf(t107,plain,
multiply(inverse(identity),multiply(identity,X1)) = multiply(X1,identity),
inference(orient,[status(thm)],[t723]) ).
cnf(t749,plain,
multiply(identity,multiply(identity,X1)) = multiply(X1,identity),
inference(step,[status(thm)],[t107,t225]) ).
cnf(t247,plain,
multiply(identity,multiply(identity,X1)) = multiply(X1,identity),
inference(rw,[status(thm)],[t749]) ).
cnf(t298,plain,
multiply(identity,multiply(identity,X1)) = multiply(X1,identity),
inference(orient,[status(thm)],[t247]) ).
cnf(t840,plain,
identity = multiply(double_divide(identity,X1),multiply(multiply(X1,identity),identity)),
inference(step,[status(thm)],[t839,t298]) ).
cnf(t841,plain,
identity = multiply(double_divide(identity,X1),X1),
inference(step,[status(thm)],[t840,t302]) ).
cnf(t428,plain,
multiply(double_divide(identity,X1),X1) = identity,
inference(orient,[status(thm)],[t841]) ).
cnf(t451,plain,
X1 = multiply(multiply(identity,identity),X1),
inference(cp,[status(thm)],[t450,t428]) ).
cnf(t12,plain,
multiply(inverse(X1),X1) = inverse(identity),
inference(cp,[status(thm)],[t10,t9]) ).
cnf(t18,plain,
multiply(inverse(X1),X1) = inverse(identity),
inference(orient,[status(thm)],[t12]) ).
cnf(t737,plain,
multiply(inverse(X1),X1) = identity,
inference(step,[status(thm)],[t18,t225]) ).
cnf(t226,plain,
multiply(inverse(X1),X1) = identity,
inference(orient,[status(thm)],[t737]) ).
cnf(t239,plain,
identity = multiply(identity,identity),
inference(cp,[status(thm)],[t226,t225]) ).
cnf(t264,plain,
multiply(identity,identity) = identity,
inference(orient,[status(thm)],[t239]) ).
cnf(t847,plain,
X1 = multiply(identity,X1),
inference(step,[status(thm)],[t451,t264]) ).
cnf(t459,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t847]) ).
cnf(t866,plain,
multiply(multiply(double_divide(identity,X1),X2),X1) = X2,
inference(step,[status(thm)],[t450,t459]) ).
cnf(t480,plain,
multiply(multiply(double_divide(identity,X1),X2),X1) = X2,
inference(rw,[status(thm)],[t866]) ).
cnf(t854,plain,
inverse(X1) = double_divide(identity,X1),
inference(step,[status(thm)],[t265,t459]) ).
cnf(t468,plain,
inverse(X1) = double_divide(identity,X1),
inference(rw,[status(thm)],[t854]) ).
cnf(t494,plain,
double_divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t468]) ).
cnf(t881,plain,
multiply(multiply(inverse(X1),X2),X1) = X2,
inference(step,[status(thm)],[t480,t494]) ).
cnf(t507,plain,
multiply(multiply(inverse(X1),X2),X1) = X2,
inference(orient,[status(thm)],[t881]) ).
cnf(t848,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t14,t459]) ).
cnf(t460,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t848]) ).
cnf(t510,plain,
X1 = multiply(multiply(X2,X1),inverse(X2)),
inference(cp,[status(thm)],[t507,t460]) ).
cnf(t514,plain,
multiply(multiply(X1,X2),inverse(X1)) = X2,
inference(orient,[status(thm)],[t510]) ).
cnf(t518,plain,
inverse(X1) = multiply(X2,inverse(multiply(X1,X2))),
inference(cp,[status(thm)],[t514,t514]) ).
cnf(t856,plain,
double_divide(X1,X2) = inverse(multiply(X2,X1)),
inference(step,[status(thm)],[t29,t459]) ).
cnf(t470,plain,
double_divide(X1,X2) = inverse(multiply(X2,X1)),
inference(rw,[status(thm)],[t856]) ).
cnf(t504,plain,
inverse(multiply(X1,X2)) = double_divide(X2,X1),
inference(orient,[status(thm)],[t470]) ).
cnf(t882,plain,
inverse(X1) = multiply(X2,double_divide(X2,X1)),
inference(step,[status(thm)],[t518,t504]) ).
cnf(t522,plain,
multiply(X1,double_divide(X1,X2)) = inverse(X2),
inference(orient,[status(thm)],[t882]) ).
cnf(t878,plain,
multiply(double_divide(inverse(X1),inverse(X2)),inverse(X1)) = X2,
inference(step,[status(thm)],[t365,t494]) ).
cnf(t498,plain,
multiply(double_divide(inverse(X1),inverse(X2)),inverse(X1)) = X2,
inference(rw,[status(thm)],[t878]) ).
cnf(t527,plain,
double_divide(inverse(X1),X2) = multiply(inverse(X2),X1),
inference(cp,[status(thm)],[t507,t522]) ).
cnf(t535,plain,
double_divide(inverse(X1),X2) = multiply(inverse(X2),X1),
inference(orient,[status(thm)],[t527]) ).
cnf(t544,plain,
multiply(X1,inverse(X2)) = inverse(multiply(inverse(X1),X2)),
inference(cp,[status(thm)],[t10,t535]) ).
cnf(t884,plain,
multiply(X1,inverse(X2)) = double_divide(X2,inverse(X1)),
inference(step,[status(thm)],[t544,t504]) ).
cnf(t545,plain,
double_divide(X1,inverse(X2)) = multiply(X2,inverse(X1)),
inference(orient,[status(thm)],[t884]) ).
cnf(t548,plain,
multiply(double_divide(X1,X2),inverse(X3)) = double_divide(X3,multiply(X2,X1)),
inference(cp,[status(thm)],[t545,t10]) ).
cnf(t603,plain,
multiply(double_divide(X1,X2),inverse(X3)) = double_divide(X3,multiply(X2,X1)),
inference(orient,[status(thm)],[t548]) ).
cnf(t889,plain,
double_divide(X1,multiply(inverse(X2),inverse(X1))) = X2,
inference(step,[status(thm)],[t498,t603]) ).
cnf(t523,plain,
double_divide(X1,X2) = multiply(inverse(X2),inverse(X1)),
inference(cp,[status(thm)],[t514,t522]) ).
cnf(t556,plain,
multiply(inverse(X1),inverse(X2)) = double_divide(X2,X1),
inference(orient,[status(thm)],[t523]) ).
cnf(t890,plain,
double_divide(X1,double_divide(X1,X2)) = X2,
inference(step,[status(thm)],[t889,t556]) ).
cnf(t606,plain,
double_divide(X1,double_divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t890]) ).
cnf(t621,plain,
inverse(double_divide(X1,X2)) = multiply(X1,X2),
inference(cp,[status(thm)],[t522,t606]) ).
cnf(t894,plain,
multiply(X2,X1) = multiply(X1,X2),
inference(step,[status(thm)],[t621,t10]) ).
cnf(t699,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t894]) ).
cnf(goal_0,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(b,a) != multiply(b,a),
inference(rw,[status(thm)],[goal_0,t699]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP584-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 15:08:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.86/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.86/1.29 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------