%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP486-1 : TPTP v9.3.1. Released v2.6.0.
% 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 01:27:09 PM UTC 2026
% Result : Unsatisfiable 3.26s 0.81s
% Output : CNFRefutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 5
% Syntax : Number of clauses : 155 ( 155 unt; 0 nHn; 10 RR)
% Number of literals : 155 ( 154 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 258 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),double_divide(identity,identity)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),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(t8,plain,
double_divide(X1,identity) = inverse(X1),
inference(orient,[status(thm)],[t0]) ).
cnf(t1484,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),double_divide(identity,identity)) = X3,
inference(step,[status(thm)],[t4,t8]) ).
cnf(t1485,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),inverse(identity)) = X3,
inference(step,[status(thm)],[t1484,t8]) ).
cnf(t9,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),inverse(identity)) = X3,
inference(rw,[status(thm)],[t1485]) ).
cnf(t70,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),inverse(identity)) = X3,
inference(orient,[status(thm)],[t9]) ).
cnf(t1,axiom,
double_divide(X1,inverse(X1)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
double_divide(X1,inverse(X1)) = identity,
inference(orient,[status(thm)],[t1]) ).
cnf(t2,axiom,
double_divide(double_divide(X1,X2),identity) = multiply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t1486,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(step,[status(thm)],[t2,t8]) ).
cnf(t11,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(orient,[status(thm)],[t1486]) ).
cnf(t14,plain,
identity = double_divide(double_divide(X1,X2),multiply(X2,X1)),
inference(cp,[status(thm)],[t10,t11]) ).
cnf(t35,plain,
double_divide(double_divide(X1,X2),multiply(X2,X1)) = identity,
inference(orient,[status(thm)],[t14]) ).
cnf(t71,plain,
multiply(X1,X2) = double_divide(double_divide(X2,double_divide(identity,inverse(X1))),inverse(identity)),
inference(cp,[status(thm)],[t70,t35]) ).
cnf(t91,plain,
double_divide(double_divide(X1,double_divide(identity,inverse(X2))),inverse(identity)) = multiply(X2,X1),
inference(orient,[status(thm)],[t71]) ).
cnf(t100,plain,
double_divide(identity,inverse(X1)) = double_divide(double_divide(X2,multiply(X1,double_divide(X2,identity))),inverse(identity)),
inference(cp,[status(thm)],[t70,t91]) ).
cnf(t1491,plain,
double_divide(identity,inverse(X1)) = double_divide(double_divide(X2,multiply(X1,inverse(X2))),inverse(identity)),
inference(step,[status(thm)],[t100,t8]) ).
cnf(t127,plain,
double_divide(double_divide(X1,multiply(X2,inverse(X1))),inverse(identity)) = double_divide(identity,inverse(X2)),
inference(orient,[status(thm)],[t1491]) ).
cnf(t138,plain,
multiply(X1,inverse(double_divide(X2,identity))) = double_divide(double_divide(X2,double_divide(identity,inverse(X1))),inverse(identity)),
inference(cp,[status(thm)],[t70,t127]) ).
cnf(t1495,plain,
multiply(X1,multiply(identity,X2)) = double_divide(double_divide(X2,double_divide(identity,inverse(X1))),inverse(identity)),
inference(step,[status(thm)],[t138,t11]) ).
cnf(t1496,plain,
multiply(X1,multiply(identity,X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t1495,t91]) ).
cnf(t148,plain,
multiply(X1,multiply(identity,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t1496]) ).
cnf(t92,plain,
multiply(identity,X1) = double_divide(double_divide(X1,identity),inverse(identity)),
inference(cp,[status(thm)],[t91,t10]) ).
cnf(t1487,plain,
multiply(identity,X1) = double_divide(inverse(X1),inverse(identity)),
inference(step,[status(thm)],[t92,t8]) ).
cnf(t103,plain,
double_divide(inverse(X1),inverse(identity)) = multiply(identity,X1),
inference(orient,[status(thm)],[t1487]) ).
cnf(t110,plain,
multiply(inverse(identity),inverse(X1)) = inverse(multiply(identity,X1)),
inference(cp,[status(thm)],[t11,t103]) ).
cnf(t12,plain,
multiply(identity,X1) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t11,t8]) ).
cnf(t15,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t12]) ).
cnf(t18,plain,
multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)),
inference(cp,[status(thm)],[t15,t15]) ).
cnf(t22,plain,
inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)),
inference(orient,[status(thm)],[t18]) ).
cnf(t1488,plain,
multiply(inverse(identity),inverse(X1)) = multiply(identity,inverse(X1)),
inference(step,[status(thm)],[t110,t22]) ).
cnf(t112,plain,
multiply(inverse(identity),inverse(X1)) = multiply(identity,inverse(X1)),
inference(orient,[status(thm)],[t1488]) ).
cnf(t114,plain,
multiply(identity,inverse(double_divide(X1,X2))) = multiply(inverse(identity),multiply(X2,X1)),
inference(cp,[status(thm)],[t112,t11]) ).
cnf(t1490,plain,
multiply(identity,multiply(X2,X1)) = multiply(inverse(identity),multiply(X2,X1)),
inference(step,[status(thm)],[t114,t11]) ).
cnf(t122,plain,
multiply(inverse(identity),multiply(X1,X2)) = multiply(identity,multiply(X1,X2)),
inference(orient,[status(thm)],[t1490]) ).
cnf(t150,plain,
multiply(inverse(identity),X1) = multiply(identity,multiply(identity,X1)),
inference(cp,[status(thm)],[t148,t122]) ).
cnf(t1502,plain,
multiply(inverse(identity),X1) = multiply(identity,X1),
inference(step,[status(thm)],[t150,t148]) ).
cnf(t158,plain,
multiply(inverse(identity),X1) = multiply(identity,X1),
inference(orient,[status(thm)],[t1502]) ).
cnf(t13,plain,
multiply(inverse(X1),X1) = inverse(identity),
inference(cp,[status(thm)],[t11,t10]) ).
cnf(t19,plain,
multiply(inverse(X1),X1) = inverse(identity),
inference(orient,[status(thm)],[t13]) ).
cnf(t159,plain,
multiply(identity,identity) = inverse(identity),
inference(cp,[status(thm)],[t158,t19]) ).
cnf(t163,plain,
multiply(identity,identity) = inverse(identity),
inference(orient,[status(thm)],[t159]) ).
cnf(t167,plain,
identity = double_divide(double_divide(identity,identity),inverse(identity)),
inference(cp,[status(thm)],[t35,t163]) ).
cnf(t1505,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(step,[status(thm)],[t167,t8]) ).
cnf(t1506,plain,
identity = multiply(identity,identity),
inference(step,[status(thm)],[t1505,t103]) ).
cnf(t1507,plain,
identity = inverse(identity),
inference(step,[status(thm)],[t1506,t163]) ).
cnf(t172,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t1507]) ).
cnf(t1522,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),identity) = X3,
inference(step,[status(thm)],[t70,t172]) ).
cnf(t1523,plain,
inverse(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2)))) = X3,
inference(step,[status(thm)],[t1522,t8]) ).
cnf(t1524,plain,
multiply(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2)),X1) = X3,
inference(step,[status(thm)],[t1523,t11]) ).
cnf(t183,plain,
multiply(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2)),X1) = X3,
inference(rw,[status(thm)],[t1524]) ).
cnf(t1147,plain,
multiply(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2)),X1) = X3,
inference(orient,[status(thm)],[t183]) ).
cnf(t16,plain,
multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)),
inference(cp,[status(thm)],[t15,t11]) ).
cnf(t30,plain,
multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)),
inference(orient,[status(thm)],[t16]) ).
cnf(t151,plain,
multiply(X1,double_divide(X2,X3)) = multiply(X1,inverse(multiply(X3,X2))),
inference(cp,[status(thm)],[t148,t30]) ).
cnf(t305,plain,
multiply(X1,inverse(multiply(X2,X3))) = multiply(X1,double_divide(X3,X2)),
inference(orient,[status(thm)],[t151]) ).
cnf(t1516,plain,
double_divide(double_divide(X1,multiply(X2,inverse(X1))),identity) = double_divide(identity,inverse(X2)),
inference(step,[status(thm)],[t127,t172]) ).
cnf(t1517,plain,
inverse(double_divide(X1,multiply(X2,inverse(X1)))) = double_divide(identity,inverse(X2)),
inference(step,[status(thm)],[t1516,t8]) ).
cnf(t1518,plain,
multiply(multiply(X2,inverse(X1)),X1) = double_divide(identity,inverse(X2)),
inference(step,[status(thm)],[t1517,t11]) ).
cnf(t181,plain,
multiply(multiply(X2,inverse(X1)),X1) = double_divide(identity,inverse(X2)),
inference(rw,[status(thm)],[t1518]) ).
cnf(t192,plain,
multiply(multiply(X1,inverse(X2)),X2) = double_divide(identity,inverse(X1)),
inference(orient,[status(thm)],[t181]) ).
cnf(t21,plain,
inverse(identity) = multiply(multiply(identity,X1),inverse(X1)),
inference(cp,[status(thm)],[t19,t15]) ).
cnf(t32,plain,
multiply(multiply(identity,X1),inverse(X1)) = inverse(identity),
inference(orient,[status(thm)],[t21]) ).
cnf(t1510,plain,
multiply(multiply(identity,X1),inverse(X1)) = identity,
inference(step,[status(thm)],[t32,t172]) ).
cnf(t175,plain,
multiply(multiply(identity,X1),inverse(X1)) = identity,
inference(orient,[status(thm)],[t1510]) ).
cnf(t194,plain,
double_divide(identity,inverse(multiply(identity,X1))) = multiply(identity,X1),
inference(cp,[status(thm)],[t192,t175]) ).
cnf(t1527,plain,
double_divide(identity,multiply(identity,inverse(X1))) = multiply(identity,X1),
inference(step,[status(thm)],[t194,t22]) ).
cnf(t208,plain,
double_divide(identity,multiply(identity,inverse(X1))) = multiply(identity,X1),
inference(orient,[status(thm)],[t1527]) ).
cnf(t210,plain,
multiply(identity,inverse(X1)) = double_divide(identity,multiply(identity,multiply(identity,X1))),
inference(cp,[status(thm)],[t208,t15]) ).
cnf(t1528,plain,
multiply(identity,inverse(X1)) = double_divide(identity,multiply(identity,X1)),
inference(step,[status(thm)],[t210,t148]) ).
cnf(t215,plain,
double_divide(identity,multiply(identity,X1)) = multiply(identity,inverse(X1)),
inference(orient,[status(thm)],[t1528]) ).
cnf(t220,plain,
multiply(multiply(identity,X1),identity) = inverse(multiply(identity,inverse(X1))),
inference(cp,[status(thm)],[t11,t215]) ).
cnf(t1529,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,inverse(inverse(X1))),
inference(step,[status(thm)],[t220,t22]) ).
cnf(t1530,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(identity,X1)),
inference(step,[status(thm)],[t1529,t15]) ).
cnf(t1531,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,X1),
inference(step,[status(thm)],[t1530,t148]) ).
cnf(t221,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,X1),
inference(orient,[status(thm)],[t1531]) ).
cnf(t1519,plain,
double_divide(double_divide(X1,double_divide(identity,inverse(X2))),identity) = multiply(X2,X1),
inference(step,[status(thm)],[t91,t172]) ).
cnf(t1520,plain,
inverse(double_divide(X1,double_divide(identity,inverse(X2)))) = multiply(X2,X1),
inference(step,[status(thm)],[t1519,t8]) ).
cnf(t1521,plain,
multiply(double_divide(identity,inverse(X2)),X1) = multiply(X2,X1),
inference(step,[status(thm)],[t1520,t11]) ).
cnf(t182,plain,
multiply(double_divide(identity,inverse(X2)),X1) = multiply(X2,X1),
inference(rw,[status(thm)],[t1521]) ).
cnf(t186,plain,
multiply(double_divide(identity,inverse(X1)),X2) = multiply(X1,X2),
inference(orient,[status(thm)],[t182]) ).
cnf(t193,plain,
double_divide(identity,inverse(double_divide(identity,inverse(X1)))) = multiply(multiply(X1,inverse(X2)),X2),
inference(cp,[status(thm)],[t192,t186]) ).
cnf(t1536,plain,
double_divide(identity,multiply(inverse(X1),identity)) = multiply(multiply(X1,inverse(X2)),X2),
inference(step,[status(thm)],[t193,t11]) ).
cnf(t1537,plain,
double_divide(identity,multiply(inverse(X1),identity)) = double_divide(identity,inverse(X1)),
inference(step,[status(thm)],[t1536,t192]) ).
cnf(t235,plain,
double_divide(identity,multiply(inverse(X1),identity)) = double_divide(identity,inverse(X1)),
inference(orient,[status(thm)],[t1537]) ).
cnf(t240,plain,
multiply(multiply(inverse(X1),identity),identity) = inverse(double_divide(identity,inverse(X1))),
inference(cp,[status(thm)],[t11,t235]) ).
cnf(t196,plain,
double_divide(identity,inverse(X1)) = multiply(multiply(X1,identity),identity),
inference(cp,[status(thm)],[t192,t172]) ).
cnf(t202,plain,
multiply(multiply(X1,identity),identity) = double_divide(identity,inverse(X1)),
inference(orient,[status(thm)],[t196]) ).
cnf(t1538,plain,
double_divide(identity,inverse(inverse(X1))) = inverse(double_divide(identity,inverse(X1))),
inference(step,[status(thm)],[t240,t202]) ).
cnf(t1539,plain,
double_divide(identity,multiply(identity,X1)) = inverse(double_divide(identity,inverse(X1))),
inference(step,[status(thm)],[t1538,t15]) ).
cnf(t1540,plain,
multiply(identity,inverse(X1)) = inverse(double_divide(identity,inverse(X1))),
inference(step,[status(thm)],[t1539,t215]) ).
cnf(t1541,plain,
multiply(identity,inverse(X1)) = multiply(inverse(X1),identity),
inference(step,[status(thm)],[t1540,t11]) ).
cnf(t242,plain,
multiply(inverse(X1),identity) = multiply(identity,inverse(X1)),
inference(orient,[status(thm)],[t1541]) ).
cnf(t1542,plain,
double_divide(identity,multiply(identity,inverse(X1))) = double_divide(identity,inverse(X1)),
inference(step,[status(thm)],[t235,t242]) ).
cnf(t1543,plain,
multiply(identity,X1) = double_divide(identity,inverse(X1)),
inference(step,[status(thm)],[t1542,t208]) ).
cnf(t246,plain,
multiply(identity,X1) = double_divide(identity,inverse(X1)),
inference(rw,[status(thm)],[t1543]) ).
cnf(t247,plain,
double_divide(identity,inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t246]) ).
cnf(t1549,plain,
multiply(multiply(identity,X1),X2) = multiply(X1,X2),
inference(step,[status(thm)],[t186,t247]) ).
cnf(t254,plain,
multiply(multiply(identity,X1),X2) = multiply(X1,X2),
inference(rw,[status(thm)],[t1549]) ).
cnf(t265,plain,
multiply(multiply(identity,X1),X2) = multiply(X1,X2),
inference(orient,[status(thm)],[t254]) ).
cnf(t1550,plain,
multiply(X1,identity) = multiply(identity,X1),
inference(step,[status(thm)],[t221,t265]) ).
cnf(t270,plain,
multiply(X1,identity) = multiply(identity,X1),
inference(rw,[status(thm)],[t1550]) ).
cnf(t274,plain,
multiply(X1,identity) = multiply(identity,X1),
inference(orient,[status(thm)],[t270]) ).
cnf(t287,plain,
multiply(identity,inverse(X1)) = inverse(multiply(X1,identity)),
inference(cp,[status(thm)],[t22,t274]) ).
cnf(t292,plain,
inverse(multiply(X1,identity)) = multiply(identity,inverse(X1)),
inference(orient,[status(thm)],[t287]) ).
cnf(t307,plain,
multiply(X1,double_divide(identity,X2)) = multiply(X1,multiply(identity,inverse(X2))),
inference(cp,[status(thm)],[t305,t292]) ).
cnf(t1556,plain,
multiply(X1,double_divide(identity,X2)) = multiply(X1,inverse(X2)),
inference(step,[status(thm)],[t307,t148]) ).
cnf(t340,plain,
multiply(X1,double_divide(identity,X2)) = multiply(X1,inverse(X2)),
inference(orient,[status(thm)],[t1556]) ).
cnf(t1544,plain,
multiply(multiply(X1,inverse(X2)),X2) = multiply(identity,X1),
inference(step,[status(thm)],[t192,t247]) ).
cnf(t248,plain,
multiply(multiply(X1,inverse(X2)),X2) = multiply(identity,X1),
inference(orient,[status(thm)],[t1544]) ).
cnf(t341,plain,
multiply(multiply(X1,inverse(double_divide(identity,X2))),inverse(X2)) = multiply(identity,X1),
inference(cp,[status(thm)],[t340,t248]) ).
cnf(t1559,plain,
multiply(multiply(X1,multiply(X2,identity)),inverse(X2)) = multiply(identity,X1),
inference(step,[status(thm)],[t341,t11]) ).
cnf(t283,plain,
multiply(X1,X2) = multiply(X1,multiply(X2,identity)),
inference(cp,[status(thm)],[t148,t274]) ).
cnf(t323,plain,
multiply(X1,multiply(X2,identity)) = multiply(X1,X2),
inference(orient,[status(thm)],[t283]) ).
cnf(t1560,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(identity,X1),
inference(step,[status(thm)],[t1559,t323]) ).
cnf(t366,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(identity,X1),
inference(orient,[status(thm)],[t1560]) ).
cnf(t1166,plain,
X1 = multiply(double_divide(double_divide(inverse(X2),X1),inverse(identity)),X2),
inference(cp,[status(thm)],[t1147,t8]) ).
cnf(t1602,plain,
X1 = multiply(double_divide(double_divide(inverse(X2),X1),identity),X2),
inference(step,[status(thm)],[t1166,t172]) ).
cnf(t1603,plain,
X1 = multiply(inverse(double_divide(inverse(X2),X1)),X2),
inference(step,[status(thm)],[t1602,t8]) ).
cnf(t1604,plain,
X1 = multiply(multiply(X1,inverse(X2)),X2),
inference(step,[status(thm)],[t1603,t11]) ).
cnf(t1605,plain,
X1 = multiply(identity,X1),
inference(step,[status(thm)],[t1604,t248]) ).
cnf(t1219,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t1605]) ).
cnf(t1614,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(step,[status(thm)],[t366,t1219]) ).
cnf(t1228,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(orient,[status(thm)],[t1614]) ).
cnf(t1167,plain,
X1 = multiply(double_divide(double_divide(identity,X1),inverse(inverse(X2))),X2),
inference(cp,[status(thm)],[t1147,t10]) ).
cnf(t267,plain,
multiply(double_divide(X1,X2),X3) = multiply(inverse(multiply(X2,X1)),X3),
inference(cp,[status(thm)],[t265,t30]) ).
cnf(t407,plain,
multiply(inverse(multiply(X1,X2)),X3) = multiply(double_divide(X2,X1),X3),
inference(orient,[status(thm)],[t267]) ).
cnf(t409,plain,
multiply(double_divide(double_divide(identity,X1),X2),X3) = multiply(inverse(multiply(X2,inverse(X1))),X3),
inference(cp,[status(thm)],[t407,t340]) ).
cnf(t1590,plain,
multiply(double_divide(double_divide(identity,X1),X2),X3) = multiply(double_divide(inverse(X1),X2),X3),
inference(step,[status(thm)],[t409,t407]) ).
cnf(t976,plain,
multiply(double_divide(double_divide(identity,X1),X2),X3) = multiply(double_divide(inverse(X1),X2),X3),
inference(orient,[status(thm)],[t1590]) ).
cnf(t1632,plain,
X1 = multiply(double_divide(inverse(X1),inverse(inverse(X2))),X2),
inference(step,[status(thm)],[t1167,t976]) ).
cnf(t1606,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t15,t1219]) ).
cnf(t1220,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t1606]) ).
cnf(t1633,plain,
X1 = multiply(double_divide(inverse(X1),X2),X2),
inference(step,[status(thm)],[t1632,t1220]) ).
cnf(t1298,plain,
multiply(double_divide(inverse(X1),X2),X2) = X1,
inference(orient,[status(thm)],[t1633]) ).
cnf(t1306,plain,
double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)),
inference(cp,[status(thm)],[t1228,t1298]) ).
cnf(t1314,plain,
double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)),
inference(orient,[status(thm)],[t1306]) ).
cnf(t1317,plain,
multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2),
inference(cp,[status(thm)],[t1314,t1220]) ).
cnf(t1326,plain,
multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2),
inference(orient,[status(thm)],[t1317]) ).
cnf(t1331,plain,
double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2),
inference(cp,[status(thm)],[t1326,t1220]) ).
cnf(t1337,plain,
double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2),
inference(orient,[status(thm)],[t1331]) ).
cnf(t1638,plain,
multiply(multiply(inverse(double_divide(double_divide(X1,X2),X3)),X2),X1) = X3,
inference(step,[status(thm)],[t1147,t1337]) ).
cnf(t1639,plain,
multiply(multiply(multiply(X3,double_divide(X1,X2)),X2),X1) = X3,
inference(step,[status(thm)],[t1638,t11]) ).
cnf(t1343,plain,
multiply(multiply(multiply(X3,double_divide(X1,X2)),X2),X1) = X3,
inference(rw,[status(thm)],[t1639]) ).
cnf(t1434,plain,
multiply(multiply(multiply(X1,double_divide(X2,X3)),X3),X2) = X1,
inference(orient,[status(thm)],[t1343]) ).
cnf(t1608,plain,
multiply(multiply(X1,inverse(X2)),X2) = X1,
inference(step,[status(thm)],[t248,t1219]) ).
cnf(t1222,plain,
multiply(multiply(X1,inverse(X2)),X2) = X1,
inference(orient,[status(thm)],[t1608]) ).
cnf(t1439,plain,
multiply(X1,inverse(double_divide(X2,X3))) = multiply(multiply(X1,X3),X2),
inference(cp,[status(thm)],[t1434,t1222]) ).
cnf(t1645,plain,
multiply(X1,multiply(X3,X2)) = multiply(multiply(X1,X3),X2),
inference(step,[status(thm)],[t1439,t11]) ).
cnf(t1465,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t1645]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[goal_0,t1465]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP486-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Wed Sep 23 14:52:37 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.26/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.26/0.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------