%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP604-1 : 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 01:27:38 PM UTC 2026
% Result : Unsatisfiable 5.92s 1.37s
% Output : CNFRefutation 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 5
% Syntax : Number of clauses : 141 ( 141 unt; 0 nHn; 45 RR)
% Number of literals : 141 ( 140 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 163 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
sFlat0 = multiply(b,a),
introduced(definition) ).
cnf(t9,plain,
multiply(b,a) = sFlat0,
inference(orient,[status(thm)],[t2]) ).
cnf(t1,axiom,
inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3))))),X3)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3))))),X3)) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(orient,[status(thm)],[t0]) ).
cnf(t1806,plain,
multiply(X3,inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3)))))) = X2,
inference(step,[status(thm)],[t4,t6]) ).
cnf(t1807,plain,
multiply(X3,multiply(inverse(double_divide(X2,double_divide(X1,X3))),X1)) = X2,
inference(step,[status(thm)],[t1806,t6]) ).
cnf(t1808,plain,
multiply(X3,multiply(multiply(double_divide(X1,X3),X2),X1)) = X2,
inference(step,[status(thm)],[t1807,t6]) ).
cnf(t7,plain,
multiply(X3,multiply(multiply(double_divide(X1,X3),X2),X1)) = X2,
inference(rw,[status(thm)],[t1808]) ).
cnf(t10,plain,
multiply(X1,multiply(multiply(double_divide(X2,X1),X3),X2)) = X3,
inference(orient,[status(thm)],[t7]) ).
cnf(t11,plain,
multiply(multiply(double_divide(X1,double_divide(X2,X3)),Y3),X1) = multiply(X3,multiply(Y3,X2)),
inference(cp,[status(thm)],[t10,t10]) ).
cnf(t12,plain,
multiply(multiply(double_divide(X1,double_divide(X2,X3)),Y3),X1) = multiply(X3,multiply(Y3,X2)),
inference(orient,[status(thm)],[t11]) ).
cnf(t13,plain,
X1 = multiply(double_divide(X2,X3),multiply(X3,multiply(X1,X2))),
inference(cp,[status(thm)],[t10,t12]) ).
cnf(t14,plain,
multiply(double_divide(X1,X2),multiply(X2,multiply(X3,X1))) = X3,
inference(orient,[status(thm)],[t13]) ).
cnf(t3,axiom,
sFlat1 = multiply(a,b),
introduced(definition) ).
cnf(t8,plain,
multiply(a,b) = sFlat1,
inference(orient,[status(thm)],[t3]) ).
cnf(t18,plain,
a = multiply(double_divide(b,X1),multiply(X1,sFlat1)),
inference(cp,[status(thm)],[t14,t8]) ).
cnf(t22,plain,
multiply(double_divide(b,X1),multiply(X1,sFlat1)) = a,
inference(orient,[status(thm)],[t18]) ).
cnf(t24,plain,
X1 = multiply(double_divide(sFlat1,double_divide(b,X1)),a),
inference(cp,[status(thm)],[t14,t22]) ).
cnf(t30,plain,
multiply(double_divide(sFlat1,double_divide(b,X1)),a) = X1,
inference(orient,[status(thm)],[t24]) ).
cnf(t31,plain,
double_divide(sFlat1,double_divide(b,X1)) = multiply(double_divide(a,X2),multiply(X2,X1)),
inference(cp,[status(thm)],[t14,t30]) ).
cnf(t34,plain,
multiply(double_divide(a,X1),multiply(X1,X2)) = double_divide(sFlat1,double_divide(b,X2)),
inference(orient,[status(thm)],[t31]) ).
cnf(t19,plain,
b = multiply(double_divide(a,X1),multiply(X1,sFlat0)),
inference(cp,[status(thm)],[t14,t9]) ).
cnf(t26,plain,
multiply(double_divide(a,X1),multiply(X1,sFlat0)) = b,
inference(orient,[status(thm)],[t19]) ).
cnf(t28,plain,
X1 = multiply(double_divide(sFlat0,double_divide(a,X1)),b),
inference(cp,[status(thm)],[t14,t26]) ).
cnf(t32,plain,
multiply(double_divide(sFlat0,double_divide(a,X1)),b) = X1,
inference(orient,[status(thm)],[t28]) ).
cnf(t33,plain,
double_divide(sFlat0,double_divide(a,X1)) = multiply(double_divide(b,X2),multiply(X2,X1)),
inference(cp,[status(thm)],[t14,t32]) ).
cnf(t110,plain,
multiply(double_divide(b,X1),multiply(X1,X2)) = double_divide(sFlat0,double_divide(a,X2)),
inference(orient,[status(thm)],[t33]) ).
cnf(t111,plain,
double_divide(sFlat0,double_divide(a,multiply(X1,b))) = X1,
inference(cp,[status(thm)],[t110,t14]) ).
cnf(t166,plain,
double_divide(sFlat0,double_divide(a,multiply(X1,b))) = X1,
inference(orient,[status(thm)],[t111]) ).
cnf(t171,plain,
multiply(multiply(X1,b),multiply(X2,a)) = multiply(multiply(X1,X2),sFlat0),
inference(cp,[status(thm)],[t12,t166]) ).
cnf(t236,plain,
multiply(multiply(X1,b),multiply(X2,a)) = multiply(multiply(X1,X2),sFlat0),
inference(orient,[status(thm)],[t171]) ).
cnf(t20,plain,
X1 = multiply(double_divide(multiply(X2,X3),double_divide(X3,X1)),X2),
inference(cp,[status(thm)],[t14,t14]) ).
cnf(t370,plain,
multiply(double_divide(multiply(X1,X2),double_divide(X2,X3)),X1) = X3,
inference(orient,[status(thm)],[t20]) ).
cnf(t405,plain,
double_divide(a,multiply(X1,b)) = multiply(double_divide(multiply(X2,sFlat0),X1),X2),
inference(cp,[status(thm)],[t370,t166]) ).
cnf(t484,plain,
multiply(double_divide(multiply(X1,sFlat0),X2),X1) = double_divide(a,multiply(X2,b)),
inference(orient,[status(thm)],[t405]) ).
cnf(t485,plain,
double_divide(a,multiply(double_divide(sFlat0,X1),b)) = X1,
inference(cp,[status(thm)],[t484,t370]) ).
cnf(t516,plain,
double_divide(a,multiply(double_divide(sFlat0,X1),b)) = X1,
inference(orient,[status(thm)],[t485]) ).
cnf(t517,plain,
multiply(multiply(double_divide(sFlat0,X1),b),a) = inverse(X1),
inference(cp,[status(thm)],[t6,t516]) ).
cnf(t523,plain,
multiply(multiply(double_divide(sFlat0,X1),b),a) = inverse(X1),
inference(orient,[status(thm)],[t517]) ).
cnf(t527,plain,
double_divide(sFlat1,double_divide(b,a)) = multiply(double_divide(a,multiply(double_divide(sFlat0,X1),b)),inverse(X1)),
inference(cp,[status(thm)],[t34,t523]) ).
cnf(t43,plain,
double_divide(sFlat1,double_divide(b,a)) = multiply(double_divide(a,b),sFlat0),
inference(cp,[status(thm)],[t34,t9]) ).
cnf(t69,plain,
double_divide(sFlat1,double_divide(b,a)) = multiply(double_divide(a,b),sFlat0),
inference(orient,[status(thm)],[t43]) ).
cnf(t1818,plain,
multiply(double_divide(a,b),sFlat0) = multiply(double_divide(a,multiply(double_divide(sFlat0,X1),b)),inverse(X1)),
inference(step,[status(thm)],[t527,t69]) ).
cnf(t1819,plain,
multiply(double_divide(a,b),sFlat0) = multiply(X1,inverse(X1)),
inference(step,[status(thm)],[t1818,t516]) ).
cnf(t553,plain,
multiply(double_divide(a,b),sFlat0) = multiply(X1,inverse(X1)),
inference(orient,[status(thm)],[t1819]) ).
cnf(t581,plain,
multiply(X1,multiply(inverse(double_divide(X2,double_divide(X3,X1))),X3)) = multiply(multiply(double_divide(a,b),sFlat0),X2),
inference(cp,[status(thm)],[t12,t553]) ).
cnf(t1824,plain,
multiply(X1,multiply(multiply(double_divide(X3,X1),X2),X3)) = multiply(multiply(double_divide(a,b),sFlat0),X2),
inference(step,[status(thm)],[t581,t6]) ).
cnf(t1825,plain,
X2 = multiply(multiply(double_divide(a,b),sFlat0),X2),
inference(step,[status(thm)],[t1824,t10]) ).
cnf(t1826,plain,
X2 = multiply(multiply(sFlat0,inverse(sFlat0)),X2),
inference(step,[status(thm)],[t1825,t553]) ).
cnf(t586,plain,
multiply(multiply(sFlat0,inverse(sFlat0)),X1) = X1,
inference(orient,[status(thm)],[t1826]) ).
cnf(t589,plain,
multiply(multiply(multiply(sFlat0,inverse(sFlat0)),X1),sFlat0) = multiply(b,multiply(X1,a)),
inference(cp,[status(thm)],[t236,t586]) ).
cnf(t1827,plain,
multiply(X1,sFlat0) = multiply(b,multiply(X1,a)),
inference(step,[status(thm)],[t589,t586]) ).
cnf(t610,plain,
multiply(b,multiply(X1,a)) = multiply(X1,sFlat0),
inference(orient,[status(thm)],[t1827]) ).
cnf(t612,plain,
multiply(multiply(double_divide(sFlat0,X1),b),sFlat0) = multiply(b,inverse(X1)),
inference(cp,[status(thm)],[t610,t523]) ).
cnf(t971,plain,
multiply(multiply(double_divide(sFlat0,X1),b),sFlat0) = multiply(b,inverse(X1)),
inference(orient,[status(thm)],[t612]) ).
cnf(t975,plain,
double_divide(sFlat1,double_divide(b,sFlat0)) = multiply(double_divide(a,multiply(double_divide(sFlat0,X1),b)),multiply(b,inverse(X1))),
inference(cp,[status(thm)],[t34,t971]) ).
cnf(t1809,plain,
double_divide(sFlat1,double_divide(b,sFlat0)) = b,
inference(step,[status(thm)],[t26,t34]) ).
cnf(t47,plain,
double_divide(sFlat1,double_divide(b,sFlat0)) = b,
inference(rw,[status(thm)],[t1809]) ).
cnf(t48,plain,
double_divide(sFlat1,double_divide(b,sFlat0)) = b,
inference(orient,[status(thm)],[t47]) ).
cnf(t1837,plain,
b = multiply(double_divide(a,multiply(double_divide(sFlat0,X1),b)),multiply(b,inverse(X1))),
inference(step,[status(thm)],[t975,t48]) ).
cnf(t1838,plain,
b = multiply(X1,multiply(b,inverse(X1))),
inference(step,[status(thm)],[t1837,t516]) ).
cnf(t982,plain,
multiply(X1,multiply(b,inverse(X1))) = b,
inference(orient,[status(thm)],[t1838]) ).
cnf(t566,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(cp,[status(thm)],[t553,t553]) ).
cnf(t721,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(orient,[status(thm)],[t566]) ).
cnf(t984,plain,
b = multiply(b,multiply(X1,inverse(X1))),
inference(cp,[status(thm)],[t982,t721]) ).
cnf(t1021,plain,
multiply(b,multiply(X1,inverse(X1))) = b,
inference(orient,[status(thm)],[t984]) ).
cnf(t1032,plain,
X1 = multiply(double_divide(inverse(X1),b),b),
inference(cp,[status(thm)],[t14,t1021]) ).
cnf(t1086,plain,
multiply(double_divide(inverse(X1),b),b) = X1,
inference(orient,[status(thm)],[t1032]) ).
cnf(t995,plain,
b = multiply(double_divide(inverse(X1),X1),b),
inference(cp,[status(thm)],[t14,t982]) ).
cnf(t1036,plain,
multiply(double_divide(inverse(X1),X1),b) = b,
inference(orient,[status(thm)],[t995]) ).
cnf(t1050,plain,
double_divide(inverse(X1),X1) = multiply(double_divide(b,X2),multiply(X2,b)),
inference(cp,[status(thm)],[t14,t1036]) ).
cnf(t1841,plain,
double_divide(inverse(X1),X1) = double_divide(sFlat0,double_divide(a,b)),
inference(step,[status(thm)],[t1050,t110]) ).
cnf(t126,plain,
double_divide(sFlat0,double_divide(a,b)) = multiply(double_divide(b,a),sFlat1),
inference(cp,[status(thm)],[t110,t8]) ).
cnf(t147,plain,
double_divide(sFlat0,double_divide(a,b)) = multiply(double_divide(b,a),sFlat1),
inference(orient,[status(thm)],[t126]) ).
cnf(t605,plain,
multiply(sFlat0,inverse(sFlat0)) = double_divide(sFlat0,double_divide(a,b)),
inference(cp,[status(thm)],[t166,t586]) ).
cnf(t1829,plain,
multiply(sFlat0,inverse(sFlat0)) = multiply(double_divide(b,a),sFlat1),
inference(step,[status(thm)],[t605,t147]) ).
cnf(t642,plain,
multiply(double_divide(b,a),sFlat1) = multiply(sFlat0,inverse(sFlat0)),
inference(orient,[status(thm)],[t1829]) ).
cnf(t1830,plain,
double_divide(sFlat0,double_divide(a,b)) = multiply(sFlat0,inverse(sFlat0)),
inference(step,[status(thm)],[t147,t642]) ).
cnf(t643,plain,
double_divide(sFlat0,double_divide(a,b)) = multiply(sFlat0,inverse(sFlat0)),
inference(orient,[status(thm)],[t1830]) ).
cnf(t1842,plain,
double_divide(inverse(X1),X1) = multiply(sFlat0,inverse(sFlat0)),
inference(step,[status(thm)],[t1841,t643]) ).
cnf(t1057,plain,
double_divide(inverse(X1),X1) = multiply(sFlat0,inverse(sFlat0)),
inference(orient,[status(thm)],[t1842]) ).
cnf(t1067,plain,
X1 = multiply(multiply(sFlat0,inverse(sFlat0)),multiply(X2,multiply(X1,inverse(X2)))),
inference(cp,[status(thm)],[t14,t1057]) ).
cnf(t1843,plain,
X1 = multiply(X2,multiply(X1,inverse(X2))),
inference(step,[status(thm)],[t1067,t586]) ).
cnf(t1105,plain,
multiply(X1,multiply(X2,inverse(X1))) = X2,
inference(orient,[status(thm)],[t1843]) ).
cnf(t733,plain,
X1 = multiply(multiply(X2,inverse(X2)),X1),
inference(cp,[status(thm)],[t586,t721]) ).
cnf(t742,plain,
multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(orient,[status(thm)],[t733]) ).
cnf(t1106,plain,
X1 = multiply(X1,inverse(multiply(X2,inverse(X2)))),
inference(cp,[status(thm)],[t1105,t742]) ).
cnf(t148,plain,
multiply(double_divide(a,b),sFlat0) = inverse(multiply(double_divide(b,a),sFlat1)),
inference(cp,[status(thm)],[t6,t147]) ).
cnf(t187,plain,
inverse(multiply(double_divide(b,a),sFlat1)) = multiply(double_divide(a,b),sFlat0),
inference(orient,[status(thm)],[t148]) ).
cnf(t1822,plain,
inverse(multiply(double_divide(b,a),sFlat1)) = multiply(sFlat0,inverse(sFlat0)),
inference(step,[status(thm)],[t187,t553]) ).
cnf(t556,plain,
inverse(multiply(double_divide(b,a),sFlat1)) = multiply(sFlat0,inverse(sFlat0)),
inference(orient,[status(thm)],[t1822]) ).
cnf(t1832,plain,
inverse(multiply(sFlat0,inverse(sFlat0))) = multiply(sFlat0,inverse(sFlat0)),
inference(step,[status(thm)],[t556,t642]) ).
cnf(t651,plain,
inverse(multiply(sFlat0,inverse(sFlat0))) = multiply(sFlat0,inverse(sFlat0)),
inference(rw,[status(thm)],[t1832]) ).
cnf(t652,plain,
inverse(multiply(sFlat0,inverse(sFlat0))) = multiply(sFlat0,inverse(sFlat0)),
inference(orient,[status(thm)],[t651]) ).
cnf(t732,plain,
multiply(sFlat0,inverse(sFlat0)) = inverse(multiply(X1,inverse(X1))),
inference(cp,[status(thm)],[t652,t721]) ).
cnf(t772,plain,
inverse(multiply(X1,inverse(X1))) = multiply(sFlat0,inverse(sFlat0)),
inference(orient,[status(thm)],[t732]) ).
cnf(t1850,plain,
X1 = multiply(X1,multiply(sFlat0,inverse(sFlat0))),
inference(step,[status(thm)],[t1106,t772]) ).
cnf(t1387,plain,
multiply(X1,multiply(sFlat0,inverse(sFlat0))) = X1,
inference(orient,[status(thm)],[t1850]) ).
cnf(t1393,plain,
double_divide(multiply(multiply(sFlat0,inverse(sFlat0)),X1),double_divide(X1,X2)) = X2,
inference(cp,[status(thm)],[t1387,t370]) ).
cnf(t1863,plain,
double_divide(X1,double_divide(X1,X2)) = X2,
inference(step,[status(thm)],[t1393,t586]) ).
cnf(t1447,plain,
double_divide(X1,double_divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t1863]) ).
cnf(t1461,plain,
multiply(double_divide(X1,X2),X1) = inverse(X2),
inference(cp,[status(thm)],[t6,t1447]) ).
cnf(t1544,plain,
multiply(double_divide(X1,X2),X1) = inverse(X2),
inference(orient,[status(thm)],[t1461]) ).
cnf(t16,plain,
X1 = multiply(double_divide(multiply(multiply(double_divide(X2,X1),X3),X2),Y3),multiply(Y3,X3)),
inference(cp,[status(thm)],[t14,t10]) ).
cnf(t300,plain,
multiply(double_divide(multiply(multiply(double_divide(X1,X2),X3),X1),Y3),multiply(Y3,X3)) = X2,
inference(orient,[status(thm)],[t16]) ).
cnf(t1545,plain,
inverse(multiply(double_divide(X1,X2),X1)) = X2,
inference(cp,[status(thm)],[t1544,t300]) ).
cnf(t1870,plain,
inverse(inverse(X2)) = X2,
inference(step,[status(thm)],[t1545,t1544]) ).
cnf(t1588,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t1870]) ).
cnf(t1593,plain,
double_divide(X1,X2) = inverse(multiply(X2,X1)),
inference(cp,[status(thm)],[t1588,t6]) ).
cnf(t1627,plain,
inverse(multiply(X1,X2)) = double_divide(X2,X1),
inference(orient,[status(thm)],[t1593]) ).
cnf(t35,plain,
double_divide(sFlat1,double_divide(b,multiply(X1,a))) = X1,
inference(cp,[status(thm)],[t34,t14]) ).
cnf(t81,plain,
double_divide(sFlat1,double_divide(b,multiply(X1,a))) = X1,
inference(orient,[status(thm)],[t35]) ).
cnf(t86,plain,
multiply(multiply(X1,a),multiply(X2,b)) = multiply(multiply(X1,X2),sFlat1),
inference(cp,[status(thm)],[t12,t81]) ).
cnf(t202,plain,
multiply(multiply(X1,a),multiply(X2,b)) = multiply(multiply(X1,X2),sFlat1),
inference(orient,[status(thm)],[t86]) ).
cnf(t591,plain,
multiply(multiply(multiply(sFlat0,inverse(sFlat0)),X1),sFlat1) = multiply(a,multiply(X1,b)),
inference(cp,[status(thm)],[t202,t586]) ).
cnf(t1828,plain,
multiply(X1,sFlat1) = multiply(a,multiply(X1,b)),
inference(step,[status(thm)],[t591,t586]) ).
cnf(t626,plain,
multiply(a,multiply(X1,b)) = multiply(X1,sFlat1),
inference(orient,[status(thm)],[t1828]) ).
cnf(t49,plain,
multiply(double_divide(b,sFlat0),sFlat1) = inverse(b),
inference(cp,[status(thm)],[t6,t48]) ).
cnf(t54,plain,
multiply(double_divide(b,sFlat0),sFlat1) = inverse(b),
inference(orient,[status(thm)],[t49]) ).
cnf(t56,plain,
a = multiply(double_divide(b,double_divide(b,sFlat0)),inverse(b)),
inference(cp,[status(thm)],[t22,t54]) ).
cnf(t102,plain,
multiply(double_divide(b,double_divide(b,sFlat0)),inverse(b)) = a,
inference(orient,[status(thm)],[t56]) ).
cnf(t1114,plain,
double_divide(b,double_divide(b,sFlat0)) = multiply(b,a),
inference(cp,[status(thm)],[t1105,t102]) ).
cnf(t1846,plain,
double_divide(b,double_divide(b,sFlat0)) = sFlat0,
inference(step,[status(thm)],[t1114,t9]) ).
cnf(t1155,plain,
double_divide(b,double_divide(b,sFlat0)) = sFlat0,
inference(orient,[status(thm)],[t1846]) ).
cnf(t1156,plain,
multiply(double_divide(b,sFlat0),b) = inverse(sFlat0),
inference(cp,[status(thm)],[t6,t1155]) ).
cnf(t1338,plain,
multiply(double_divide(b,sFlat0),b) = inverse(sFlat0),
inference(orient,[status(thm)],[t1156]) ).
cnf(t1339,plain,
multiply(double_divide(b,sFlat0),sFlat1) = multiply(a,inverse(sFlat0)),
inference(cp,[status(thm)],[t626,t1338]) ).
cnf(t1849,plain,
inverse(b) = multiply(a,inverse(sFlat0)),
inference(step,[status(thm)],[t1339,t54]) ).
cnf(t1352,plain,
multiply(a,inverse(sFlat0)) = inverse(b),
inference(orient,[status(thm)],[t1849]) ).
cnf(t1672,plain,
double_divide(inverse(sFlat0),a) = inverse(inverse(b)),
inference(cp,[status(thm)],[t1627,t1352]) ).
cnf(t1890,plain,
double_divide(inverse(sFlat0),a) = b,
inference(step,[status(thm)],[t1672,t1588]) ).
cnf(t1734,plain,
double_divide(inverse(sFlat0),a) = b,
inference(orient,[status(thm)],[t1890]) ).
cnf(t1736,plain,
a = double_divide(inverse(sFlat0),b),
inference(cp,[status(thm)],[t1447,t1734]) ).
cnf(t1797,plain,
double_divide(inverse(sFlat0),b) = a,
inference(orient,[status(thm)],[t1736]) ).
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) != sFlat0,
inference(rw,[status(thm)],[goal_0,t9]) ).
cnf(g0_1,plain,
multiply(b,a) != multiply(double_divide(inverse(sFlat0),b),b),
inference(rw,[status(thm)],[g0_0,t1086]) ).
cnf(g0_2,plain,
multiply(double_divide(inverse(sFlat0),b),b) != multiply(double_divide(inverse(sFlat0),b),b),
inference(rw,[status(thm)],[g0_1,t1797]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP604-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 15:11:28 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.92/1.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.92/1.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------