%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP575-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 01:27:34 PM UTC 2026
% Result : Unsatisfiable 3.82s 0.92s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 5
% Syntax : Number of clauses : 148 ( 148 unt; 0 nHn; 9 RR)
% Number of literals : 148 ( 147 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 : 236 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),double_divide(identity,identity)) = X2,
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(t1499,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),inverse(X3))),double_divide(identity,identity)) = X2,
inference(step,[status(thm)],[t4,t7]) ).
cnf(t1500,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),inverse(X3))),inverse(identity)) = X2,
inference(step,[status(thm)],[t1499,t7]) ).
cnf(t8,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),inverse(X3))),inverse(identity)) = X2,
inference(rw,[status(thm)],[t1500]) ).
cnf(t69,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),inverse(X3))),inverse(identity)) = X2,
inference(orient,[status(thm)],[t8]) ).
cnf(t70,plain,
X1 = double_divide(double_divide(identity,double_divide(double_divide(X1,inverse(X2)),inverse(X2))),inverse(identity)),
inference(cp,[status(thm)],[t69,t7]) ).
cnf(t137,plain,
double_divide(double_divide(identity,double_divide(double_divide(X1,inverse(X2)),inverse(X2))),inverse(identity)) = X1,
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(t138,plain,
X1 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),inverse(identity)),
inference(cp,[status(thm)],[t137,t9]) ).
cnf(t155,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X1))),inverse(identity)) = X1,
inference(orient,[status(thm)],[t138]) ).
cnf(t156,plain,
identity = double_divide(double_divide(identity,identity),inverse(identity)),
inference(cp,[status(thm)],[t155,t9]) ).
cnf(t1506,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(step,[status(thm)],[t156,t7]) ).
cnf(t167,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(orient,[status(thm)],[t1506]) ).
cnf(t175,plain,
inverse(identity) = double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),
inference(cp,[status(thm)],[t137,t167]) ).
cnf(t1507,plain,
inverse(identity) = identity,
inference(step,[status(thm)],[t175,t155]) ).
cnf(t176,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t1507]) ).
cnf(t1537,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),inverse(X3))),identity) = X2,
inference(step,[status(thm)],[t69,t176]) ).
cnf(t1538,plain,
inverse(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),inverse(X3)))) = X2,
inference(step,[status(thm)],[t1537,t7]) ).
cnf(t2,axiom,
double_divide(double_divide(X1,X2),identity) = multiply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t1501,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)],[t1501]) ).
cnf(t1539,plain,
multiply(double_divide(double_divide(X2,double_divide(X3,X1)),inverse(X3)),X1) = X2,
inference(step,[status(thm)],[t1538,t10]) ).
cnf(t206,plain,
multiply(double_divide(double_divide(X2,double_divide(X3,X1)),inverse(X3)),X1) = X2,
inference(rw,[status(thm)],[t1539]) ).
cnf(t345,plain,
multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3) = X1,
inference(orient,[status(thm)],[t206]) ).
cnf(t437,plain,
multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3) = X1,
inference(rw,[status(thm)],[t345]) ).
cnf(t13,plain,
identity = double_divide(double_divide(X1,X2),multiply(X2,X1)),
inference(cp,[status(thm)],[t9,t10]) ).
cnf(t34,plain,
double_divide(double_divide(X1,X2),multiply(X2,X1)) = identity,
inference(orient,[status(thm)],[t13]) ).
cnf(t71,plain,
X1 = double_divide(double_divide(inverse(X2),double_divide(double_divide(X1,identity),inverse(X2))),inverse(identity)),
inference(cp,[status(thm)],[t69,t9]) ).
cnf(t1502,plain,
X1 = double_divide(double_divide(inverse(X2),double_divide(inverse(X1),inverse(X2))),inverse(identity)),
inference(step,[status(thm)],[t71,t7]) ).
cnf(t85,plain,
double_divide(double_divide(inverse(X1),double_divide(inverse(X2),inverse(X1))),inverse(identity)) = X2,
inference(orient,[status(thm)],[t1502]) ).
cnf(t1534,plain,
double_divide(double_divide(inverse(X1),double_divide(inverse(X2),inverse(X1))),identity) = X2,
inference(step,[status(thm)],[t85,t176]) ).
cnf(t1535,plain,
inverse(double_divide(inverse(X1),double_divide(inverse(X2),inverse(X1)))) = X2,
inference(step,[status(thm)],[t1534,t7]) ).
cnf(t1536,plain,
multiply(double_divide(inverse(X2),inverse(X1)),inverse(X1)) = X2,
inference(step,[status(thm)],[t1535,t10]) ).
cnf(t205,plain,
multiply(double_divide(inverse(X2),inverse(X1)),inverse(X1)) = X2,
inference(rw,[status(thm)],[t1536]) ).
cnf(t287,plain,
multiply(double_divide(inverse(X1),inverse(X2)),inverse(X2)) = X1,
inference(orient,[status(thm)],[t205]) ).
cnf(t292,plain,
X1 = multiply(double_divide(inverse(X1),identity),inverse(identity)),
inference(cp,[status(thm)],[t287,t176]) ).
cnf(t1556,plain,
X1 = multiply(inverse(inverse(X1)),inverse(identity)),
inference(step,[status(thm)],[t292,t7]) ).
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(t1557,plain,
X1 = multiply(multiply(identity,X1),inverse(identity)),
inference(step,[status(thm)],[t1556,t14]) ).
cnf(t1558,plain,
X1 = multiply(multiply(identity,X1),identity),
inference(step,[status(thm)],[t1557,t176]) ).
cnf(t89,plain,
X1 = double_divide(double_divide(inverse(inverse(X1)),identity),inverse(identity)),
inference(cp,[status(thm)],[t85,t9]) ).
cnf(t1503,plain,
X1 = double_divide(inverse(inverse(inverse(X1))),inverse(identity)),
inference(step,[status(thm)],[t89,t7]) ).
cnf(t1504,plain,
X1 = double_divide(multiply(identity,inverse(X1)),inverse(identity)),
inference(step,[status(thm)],[t1503,t14]) ).
cnf(t101,plain,
double_divide(multiply(identity,inverse(X1)),inverse(identity)) = X1,
inference(orient,[status(thm)],[t1504]) ).
cnf(t103,plain,
double_divide(X1,X2) = double_divide(multiply(identity,multiply(X2,X1)),inverse(identity)),
inference(cp,[status(thm)],[t101,t10]) ).
cnf(t120,plain,
double_divide(multiply(identity,multiply(X1,X2)),inverse(identity)) = double_divide(X2,X1),
inference(orient,[status(thm)],[t103]) ).
cnf(t1521,plain,
double_divide(multiply(identity,multiply(X1,X2)),identity) = double_divide(X2,X1),
inference(step,[status(thm)],[t120,t176]) ).
cnf(t1522,plain,
inverse(multiply(identity,multiply(X1,X2))) = double_divide(X2,X1),
inference(step,[status(thm)],[t1521,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(t1523,plain,
multiply(identity,inverse(multiply(X1,X2))) = double_divide(X2,X1),
inference(step,[status(thm)],[t1522,t21]) ).
cnf(t200,plain,
multiply(identity,inverse(multiply(X1,X2))) = double_divide(X2,X1),
inference(rw,[status(thm)],[t1523]) ).
cnf(t227,plain,
multiply(identity,inverse(multiply(X1,X2))) = double_divide(X2,X1),
inference(orient,[status(thm)],[t200]) ).
cnf(t1529,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X1))),identity) = X1,
inference(step,[status(thm)],[t155,t176]) ).
cnf(t1530,plain,
inverse(double_divide(identity,double_divide(identity,inverse(X1)))) = X1,
inference(step,[status(thm)],[t1529,t7]) ).
cnf(t1531,plain,
multiply(double_divide(identity,inverse(X1)),identity) = X1,
inference(step,[status(thm)],[t1530,t10]) ).
cnf(t203,plain,
multiply(double_divide(identity,inverse(X1)),identity) = X1,
inference(rw,[status(thm)],[t1531]) ).
cnf(t217,plain,
multiply(double_divide(identity,inverse(X1)),identity) = X1,
inference(orient,[status(thm)],[t203]) ).
cnf(t228,plain,
double_divide(identity,double_divide(identity,inverse(X1))) = multiply(identity,inverse(X1)),
inference(cp,[status(thm)],[t227,t217]) ).
cnf(t235,plain,
double_divide(identity,double_divide(identity,inverse(X1))) = multiply(identity,inverse(X1)),
inference(orient,[status(thm)],[t228]) ).
cnf(t238,plain,
multiply(identity,inverse(inverse(X1))) = double_divide(identity,double_divide(identity,multiply(identity,X1))),
inference(cp,[status(thm)],[t235,t14]) ).
cnf(t1549,plain,
multiply(identity,multiply(identity,X1)) = double_divide(identity,double_divide(identity,multiply(identity,X1))),
inference(step,[status(thm)],[t238,t14]) ).
cnf(t1525,plain,
double_divide(multiply(identity,inverse(X1)),identity) = X1,
inference(step,[status(thm)],[t101,t176]) ).
cnf(t1526,plain,
inverse(multiply(identity,inverse(X1))) = X1,
inference(step,[status(thm)],[t1525,t7]) ).
cnf(t1527,plain,
multiply(identity,inverse(inverse(X1))) = X1,
inference(step,[status(thm)],[t1526,t21]) ).
cnf(t1528,plain,
multiply(identity,multiply(identity,X1)) = X1,
inference(step,[status(thm)],[t1527,t14]) ).
cnf(t202,plain,
multiply(identity,multiply(identity,X1)) = X1,
inference(rw,[status(thm)],[t1528]) ).
cnf(t209,plain,
multiply(identity,multiply(identity,X1)) = X1,
inference(orient,[status(thm)],[t202]) ).
cnf(t1550,plain,
X1 = double_divide(identity,double_divide(identity,multiply(identity,X1))),
inference(step,[status(thm)],[t1549,t209]) ).
cnf(t239,plain,
double_divide(identity,double_divide(identity,multiply(identity,X1))) = X1,
inference(orient,[status(thm)],[t1550]) ).
cnf(t241,plain,
multiply(identity,X1) = double_divide(identity,double_divide(identity,X1)),
inference(cp,[status(thm)],[t239,t209]) ).
cnf(t246,plain,
double_divide(identity,double_divide(identity,X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t241]) ).
cnf(t247,plain,
multiply(identity,double_divide(identity,X1)) = double_divide(identity,multiply(identity,X1)),
inference(cp,[status(thm)],[t246,t246]) ).
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(t1552,plain,
inverse(multiply(X1,identity)) = double_divide(identity,multiply(identity,X1)),
inference(step,[status(thm)],[t247,t29]) ).
cnf(t263,plain,
double_divide(identity,multiply(identity,X1)) = inverse(multiply(X1,identity)),
inference(orient,[status(thm)],[t1552]) ).
cnf(t271,plain,
multiply(multiply(identity,X1),identity) = inverse(inverse(multiply(X1,identity))),
inference(cp,[status(thm)],[t10,t263]) ).
cnf(t1555,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)),
inference(step,[status(thm)],[t271,t14]) ).
cnf(t284,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)),
inference(orient,[status(thm)],[t1555]) ).
cnf(t1559,plain,
X1 = multiply(identity,multiply(X1,identity)),
inference(step,[status(thm)],[t1558,t284]) ).
cnf(t303,plain,
multiply(identity,multiply(X1,identity)) = X1,
inference(orient,[status(thm)],[t1559]) ).
cnf(t251,plain,
multiply(double_divide(identity,X1),identity) = inverse(multiply(identity,X1)),
inference(cp,[status(thm)],[t10,t246]) ).
cnf(t1554,plain,
multiply(double_divide(identity,X1),identity) = multiply(identity,inverse(X1)),
inference(step,[status(thm)],[t251,t21]) ).
cnf(t278,plain,
multiply(double_divide(identity,X1),identity) = multiply(identity,inverse(X1)),
inference(orient,[status(thm)],[t1554]) ).
cnf(t306,plain,
double_divide(identity,X1) = multiply(identity,multiply(identity,inverse(X1))),
inference(cp,[status(thm)],[t303,t278]) ).
cnf(t1562,plain,
double_divide(identity,X1) = inverse(X1),
inference(step,[status(thm)],[t306,t209]) ).
cnf(t318,plain,
double_divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t1562]) ).
cnf(t350,plain,
X1 = multiply(double_divide(double_divide(X1,inverse(X2)),inverse(identity)),X2),
inference(cp,[status(thm)],[t345,t318]) ).
cnf(t1568,plain,
X1 = multiply(double_divide(double_divide(X1,inverse(X2)),identity),X2),
inference(step,[status(thm)],[t350,t176]) ).
cnf(t1569,plain,
X1 = multiply(inverse(double_divide(X1,inverse(X2))),X2),
inference(step,[status(thm)],[t1568,t7]) ).
cnf(t1570,plain,
X1 = multiply(multiply(inverse(X2),X1),X2),
inference(step,[status(thm)],[t1569,t10]) ).
cnf(t379,plain,
multiply(multiply(inverse(X1),X2),X1) = X2,
inference(orient,[status(thm)],[t1570]) ).
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(t1508,plain,
multiply(inverse(X1),X1) = identity,
inference(step,[status(thm)],[t18,t176]) ).
cnf(t177,plain,
multiply(inverse(X1),X1) = identity,
inference(orient,[status(thm)],[t1508]) ).
cnf(t380,plain,
X1 = multiply(identity,X1),
inference(cp,[status(thm)],[t379,t177]) ).
cnf(t391,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t380]) ).
cnf(t397,plain,
identity = double_divide(double_divide(X1,identity),X1),
inference(cp,[status(thm)],[t34,t391]) ).
cnf(t1586,plain,
identity = double_divide(inverse(X1),X1),
inference(step,[status(thm)],[t397,t7]) ).
cnf(t415,plain,
double_divide(inverse(X1),X1) = identity,
inference(orient,[status(thm)],[t1586]) ).
cnf(t417,plain,
inverse(double_divide(X1,X2)) = multiply(double_divide(identity,inverse(X1)),X2),
inference(cp,[status(thm)],[t345,t415]) ).
cnf(t1587,plain,
multiply(X2,X1) = multiply(double_divide(identity,inverse(X1)),X2),
inference(step,[status(thm)],[t417,t10]) ).
cnf(t1588,plain,
multiply(X2,X1) = multiply(inverse(inverse(X1)),X2),
inference(step,[status(thm)],[t1587,t318]) ).
cnf(t1571,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t14,t391]) ).
cnf(t392,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t1571]) ).
cnf(t1589,plain,
multiply(X2,X1) = multiply(X1,X2),
inference(step,[status(thm)],[t1588,t392]) ).
cnf(t430,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t1589]) ).
cnf(t1604,plain,
multiply(X3,double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2))) = X1,
inference(step,[status(thm)],[t437,t430]) ).
cnf(t435,plain,
multiply(multiply(inverse(X1),X2),X1) = X2,
inference(rw,[status(thm)],[t379]) ).
cnf(t1591,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(step,[status(thm)],[t435,t430]) ).
cnf(t443,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(orient,[status(thm)],[t1591]) ).
cnf(t444,plain,
X1 = multiply(X2,multiply(X1,inverse(X2))),
inference(cp,[status(thm)],[t443,t430]) ).
cnf(t450,plain,
multiply(X1,multiply(X2,inverse(X1))) = X2,
inference(orient,[status(thm)],[t444]) ).
cnf(t453,plain,
X1 = multiply(inverse(X2),multiply(X1,X2)),
inference(cp,[status(thm)],[t450,t392]) ).
cnf(t465,plain,
multiply(inverse(X1),multiply(X2,X1)) = X2,
inference(orient,[status(thm)],[t453]) ).
cnf(t447,plain,
X1 = multiply(inverse(X2),multiply(X2,X1)),
inference(cp,[status(thm)],[t443,t392]) ).
cnf(t457,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(orient,[status(thm)],[t447]) ).
cnf(t470,plain,
inverse(X1) = multiply(inverse(multiply(X1,X2)),X2),
inference(cp,[status(thm)],[t465,t457]) ).
cnf(t1592,plain,
inverse(X1) = multiply(X2,inverse(multiply(X1,X2))),
inference(step,[status(thm)],[t470,t430]) ).
cnf(t1578,plain,
double_divide(X1,X2) = inverse(multiply(X2,X1)),
inference(step,[status(thm)],[t29,t391]) ).
cnf(t401,plain,
double_divide(X1,X2) = inverse(multiply(X2,X1)),
inference(rw,[status(thm)],[t1578]) ).
cnf(t419,plain,
inverse(multiply(X1,X2)) = double_divide(X2,X1),
inference(orient,[status(thm)],[t401]) ).
cnf(t1593,plain,
inverse(X1) = multiply(X2,double_divide(X2,X1)),
inference(step,[status(thm)],[t1592,t419]) ).
cnf(t477,plain,
multiply(X1,double_divide(X1,X2)) = inverse(X2),
inference(orient,[status(thm)],[t1593]) ).
cnf(t483,plain,
double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)),
inference(cp,[status(thm)],[t443,t477]) ).
cnf(t495,plain,
double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)),
inference(orient,[status(thm)],[t483]) ).
cnf(t431,plain,
double_divide(X1,X2) = inverse(multiply(X1,X2)),
inference(cp,[status(thm)],[t419,t430]) ).
cnf(t1590,plain,
double_divide(X1,X2) = double_divide(X2,X1),
inference(step,[status(thm)],[t431,t419]) ).
cnf(t438,plain,
double_divide(X1,X2) = double_divide(X2,X1),
inference(orient,[status(thm)],[t1590]) ).
cnf(t496,plain,
multiply(X1,inverse(X2)) = double_divide(X2,inverse(X1)),
inference(cp,[status(thm)],[t495,t438]) ).
cnf(t502,plain,
double_divide(X1,inverse(X2)) = multiply(X2,inverse(X1)),
inference(orient,[status(thm)],[t496]) ).
cnf(t1605,plain,
multiply(X3,multiply(X2,inverse(double_divide(X1,double_divide(X2,X3))))) = X1,
inference(step,[status(thm)],[t1604,t502]) ).
cnf(t1606,plain,
multiply(X3,multiply(X2,multiply(double_divide(X2,X3),X1))) = X1,
inference(step,[status(thm)],[t1605,t10]) ).
cnf(t1390,plain,
multiply(X1,multiply(X2,multiply(double_divide(X2,X1),X3))) = X3,
inference(orient,[status(thm)],[t1606]) ).
cnf(t446,plain,
X1 = multiply(double_divide(X2,X3),multiply(multiply(X3,X2),X1)),
inference(cp,[status(thm)],[t443,t10]) ).
cnf(t696,plain,
multiply(double_divide(X1,X2),multiply(multiply(X2,X1),X3)) = X3,
inference(orient,[status(thm)],[t446]) ).
cnf(t1396,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(cp,[status(thm)],[t1390,t696]) ).
cnf(t1454,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t1396]) ).
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,t1454]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP575-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 15:07:12 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.82/0.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.82/0.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------