%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP428-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 01:26:50 PM UTC 2026
% Result : Unsatisfiable 5.53s 6.23s
% Output : CNFRefutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 2
% Syntax : Number of clauses : 111 ( 111 unt; 0 nHn; 3 RR)
% Number of literals : 111 ( 110 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 335 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t1,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
inference(orient,[status(thm)],[t0]) ).
cnf(t3,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(Y4),X3)),Y5),inverse(multiply(Y4,Y5))))),
inference(cp,[status(thm)],[t1,t1]) ).
cnf(t37,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(Y4),X3)),Y5),inverse(multiply(Y4,Y5))))),
inference(orient,[status(thm)],[t3]) ).
cnf(t44,plain,
X1 = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X1)),X4),inverse(multiply(X3,X4)))))),
inference(cp,[status(thm)],[t1,t37]) ).
cnf(t90,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))) = X3,
inference(orient,[status(thm)],[t44]) ).
cnf(t92,plain,
multiply(inverse(inverse(X1)),X2) = multiply(inverse(X3),multiply(X3,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),Y4),inverse(multiply(X4,Y4))))))),
inference(cp,[status(thm)],[t90,t37]) ).
cnf(t125,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X4)),Y4),inverse(multiply(X3,Y4))))))) = multiply(inverse(inverse(X2)),X4),
inference(orient,[status(thm)],[t92]) ).
cnf(t127,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(cp,[status(thm)],[t125,t1]) ).
cnf(t167,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(orient,[status(thm)],[t127]) ).
cnf(t191,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(cp,[status(thm)],[t167,t167]) ).
cnf(t222,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(orient,[status(thm)],[t191]) ).
cnf(t227,plain,
X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X1))),X4),inverse(multiply(inverse(X2),X4))))),
inference(cp,[status(thm)],[t1,t222]) ).
cnf(t322,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(inverse(X1),X4))))) = X3,
inference(orient,[status(thm)],[t227]) ).
cnf(t328,plain,
X1 = multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(inverse(X2),multiply(multiply(inverse(Y4),multiply(Y4,X1)),X4)))))),
inference(cp,[status(thm)],[t322,t222]) ).
cnf(t774,plain,
multiply(X1,inverse(multiply(multiply(inverse(X2),multiply(X2,X3)),inverse(multiply(inverse(X1),multiply(multiply(inverse(X4),multiply(X4,Y4)),X3)))))) = Y4,
inference(orient,[status(thm)],[t328]) ).
cnf(t230,plain,
X1 = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(Y4,multiply(multiply(inverse(Y4),X1),X4))))))),
inference(cp,[status(thm)],[t90,t222]) ).
cnf(t684,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(X2),multiply(X2,X3)),inverse(multiply(X4,multiply(multiply(inverse(X4),Y4),X3))))))) = Y4,
inference(orient,[status(thm)],[t230]) ).
cnf(t795,plain,
X1 = multiply(multiply(inverse(X2),multiply(X2,X1)),inverse(multiply(multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(X4),multiply(X4,Y4)),inverse(multiply(Y5,multiply(multiply(inverse(Y5),Y6),Y4))))))),inverse(Y6)))),
inference(cp,[status(thm)],[t774,t684]) ).
cnf(t3331,plain,
X1 = multiply(multiply(inverse(X2),multiply(X2,X1)),inverse(multiply(Y6,inverse(Y6)))),
inference(step,[status(thm)],[t795,t684]) ).
cnf(t870,plain,
multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,inverse(X3)))) = X2,
inference(orient,[status(thm)],[t3331]) ).
cnf(t902,plain,
X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),inverse(multiply(inverse(X2),multiply(multiply(inverse(Y4),multiply(Y4,X1)),inverse(multiply(Y5,inverse(Y5))))))))),
inference(cp,[status(thm)],[t774,t870]) ).
cnf(t3334,plain,
X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),inverse(multiply(inverse(X2),X1))))),
inference(step,[status(thm)],[t902,t870]) ).
cnf(t1440,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),inverse(multiply(inverse(X1),X4))))) = X4,
inference(orient,[status(thm)],[t3334]) ).
cnf(t231,plain,
multiply(X1,X2) = multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(X4,X2))),Y4),inverse(multiply(X1,Y4)))))),
inference(cp,[status(thm)],[t90,t222]) ).
cnf(t517,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(Y4,X4)))))) = multiply(Y4,X3),
inference(orient,[status(thm)],[t231]) ).
cnf(t905,plain,
multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),
inference(cp,[status(thm)],[t517,t870]) ).
cnf(t920,plain,
multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),
inference(orient,[status(thm)],[t905]) ).
cnf(t969,plain,
X1 = multiply(inverse(inverse(multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X1)),X4),inverse(multiply(X3,X4)))))))),multiply(inverse(multiply(inverse(Y4),multiply(Y4,Y5))),Y5)),
inference(cp,[status(thm)],[t90,t920]) ).
cnf(t3332,plain,
X1 = multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(Y4),multiply(Y4,Y5))),Y5)),
inference(step,[status(thm)],[t969,t90]) ).
cnf(t1003,plain,
multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)) = X1,
inference(orient,[status(thm)],[t3332]) ).
cnf(t1050,plain,
multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)) = multiply(inverse(X4),multiply(X4,multiply(X1,inverse(multiply(multiply(inverse(Y4),Y5),inverse(multiply(inverse(Y4),Y5))))))),
inference(cp,[status(thm)],[t125,t1003]) ).
cnf(t3335,plain,
X1 = multiply(inverse(X4),multiply(X4,multiply(X1,inverse(multiply(multiply(inverse(Y4),Y5),inverse(multiply(inverse(Y4),Y5))))))),
inference(step,[status(thm)],[t1050,t1003]) ).
cnf(t1671,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X3),X4))))))) = X2,
inference(orient,[status(thm)],[t3335]) ).
cnf(t1692,plain,
X1 = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(multiply(X3,inverse(multiply(inverse(X4),multiply(X4,inverse(multiply(multiply(inverse(Y4),multiply(Y4,Y5)),inverse(multiply(Y6,multiply(multiply(inverse(Y6),X3),Y5))))))))))))),
inference(cp,[status(thm)],[t1671,t684]) ).
cnf(t3336,plain,
X1 = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(multiply(X3,inverse(X3)))))),
inference(step,[status(thm)],[t1692,t684]) ).
cnf(t1815,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X3,inverse(X3)))))) = X2,
inference(orient,[status(thm)],[t3336]) ).
cnf(t1842,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(X3,inverse(X3)))),
inference(cp,[status(thm)],[t870,t1815]) ).
cnf(t1914,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(X3,inverse(X3)))),
inference(orient,[status(thm)],[t1842]) ).
cnf(t1924,plain,
inverse(multiply(X1,inverse(X1))) = multiply(multiply(inverse(X2),multiply(X2,inverse(multiply(X3,inverse(X3))))),inverse(multiply(X4,inverse(X4)))),
inference(cp,[status(thm)],[t870,t1914]) ).
cnf(t3337,plain,
inverse(multiply(X1,inverse(X1))) = inverse(multiply(X3,inverse(X3))),
inference(step,[status(thm)],[t1924,t870]) ).
cnf(t1998,plain,
inverse(multiply(X1,inverse(X1))) = inverse(multiply(X2,inverse(X2))),
inference(orient,[status(thm)],[t3337]) ).
cnf(t2008,plain,
multiply(X1,inverse(X1)) = multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4)),
inference(cp,[status(thm)],[t1003,t1998]) ).
cnf(t3338,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(step,[status(thm)],[t2008,t1003]) ).
cnf(t2077,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(orient,[status(thm)],[t3338]) ).
cnf(t2090,plain,
multiply(X1,inverse(X1)) = multiply(inverse(X2),multiply(X2,multiply(X3,inverse(X3)))),
inference(cp,[status(thm)],[t1815,t2077]) ).
cnf(t2147,plain,
multiply(X1,inverse(X1)) = multiply(inverse(X2),multiply(X2,multiply(X3,inverse(X3)))),
inference(orient,[status(thm)],[t2090]) ).
cnf(t2170,plain,
inverse(inverse(X1)) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),inverse(multiply(inverse(X4),multiply(X4,multiply(Y4,inverse(Y4)))))))),
inference(cp,[status(thm)],[t1440,t2147]) ).
cnf(t242,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(X4),multiply(X4,X3))),
inference(cp,[status(thm)],[t222,t222]) ).
cnf(t251,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(X4),multiply(X4,X3))),
inference(orient,[status(thm)],[t242]) ).
cnf(t306,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = inverse(multiply(multiply(inverse(multiply(inverse(Y4),multiply(Y4,multiply(Y5,X3)))),Y6),inverse(multiply(inverse(Y5),Y6)))),
inference(cp,[status(thm)],[t37,t251]) ).
cnf(t3330,plain,
X3 = inverse(multiply(multiply(inverse(multiply(inverse(Y4),multiply(Y4,multiply(Y5,X3)))),Y6),inverse(multiply(inverse(Y5),Y6)))),
inference(step,[status(thm)],[t306,t1]) ).
cnf(t447,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,multiply(X2,X3)))),X4),inverse(multiply(inverse(X2),X4)))) = X3,
inference(orient,[status(thm)],[t3330]) ).
cnf(t950,plain,
X1 = inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),inverse(multiply(inverse(X4),multiply(X4,X1))))),
inference(cp,[status(thm)],[t447,t920]) ).
cnf(t1546,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4,
inference(orient,[status(thm)],[t950]) ).
cnf(t3339,plain,
inverse(inverse(X1)) = multiply(X1,multiply(Y4,inverse(Y4))),
inference(step,[status(thm)],[t2170,t1546]) ).
cnf(t2329,plain,
multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(X1)),
inference(orient,[status(thm)],[t3339]) ).
cnf(t2337,plain,
inverse(inverse(inverse(X1))) = multiply(inverse(X2),multiply(X2,inverse(X1))),
inference(cp,[status(thm)],[t2329,t222]) ).
cnf(t2431,plain,
multiply(inverse(X1),multiply(X1,inverse(X2))) = inverse(inverse(inverse(X2))),
inference(orient,[status(thm)],[t2337]) ).
cnf(t248,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = inverse(multiply(multiply(inverse(multiply(inverse(Y4),multiply(inverse(Y5),multiply(Y5,X3)))),Y6),inverse(multiply(Y4,Y6)))),
inference(cp,[status(thm)],[t37,t222]) ).
cnf(t3329,plain,
X3 = inverse(multiply(multiply(inverse(multiply(inverse(Y4),multiply(inverse(Y5),multiply(Y5,X3)))),Y6),inverse(multiply(Y4,Y6)))),
inference(step,[status(thm)],[t248,t1]) ).
cnf(t378,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(X1,X4)))) = X3,
inference(orient,[status(thm)],[t3329]) ).
cnf(t2450,plain,
inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(X1,X4)))))) = multiply(inverse(Y4),multiply(Y4,X3)),
inference(cp,[status(thm)],[t2431,t378]) ).
cnf(t3344,plain,
inverse(inverse(X3)) = multiply(inverse(Y4),multiply(Y4,X3)),
inference(step,[status(thm)],[t2450,t378]) ).
cnf(t2521,plain,
multiply(inverse(X1),multiply(X1,X2)) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t3344]) ).
cnf(t3351,plain,
multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(X3)))) = X2,
inference(step,[status(thm)],[t870,t2521]) ).
cnf(t2552,plain,
multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(X3)))) = X2,
inference(rw,[status(thm)],[t3351]) ).
cnf(t2608,plain,
multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(X2)))) = X1,
inference(orient,[status(thm)],[t2552]) ).
cnf(t2530,plain,
inverse(inverse(multiply(X1,X2))) = multiply(inverse(inverse(X1)),inverse(inverse(X2))),
inference(cp,[status(thm)],[t2521,t2521]) ).
cnf(t2563,plain,
multiply(inverse(inverse(X1)),inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))),
inference(orient,[status(thm)],[t2530]) ).
cnf(t2569,plain,
inverse(inverse(X1)) = multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))),
inference(cp,[status(thm)],[t2329,t2563]) ).
cnf(t2581,plain,
multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))) = inverse(inverse(X1)),
inference(orient,[status(thm)],[t2569]) ).
cnf(t2612,plain,
X1 = multiply(inverse(inverse(X1)),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))),
inference(cp,[status(thm)],[t2608,t2581]) ).
cnf(t3364,plain,
X1 = inverse(inverse(multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))))),
inference(step,[status(thm)],[t2612,t2563]) ).
cnf(t3365,plain,
X1 = inverse(inverse(inverse(inverse(X1)))),
inference(step,[status(thm)],[t3364,t2581]) ).
cnf(t2628,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(orient,[status(thm)],[t3365]) ).
cnf(t3353,plain,
inverse(multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4,
inference(step,[status(thm)],[t1546,t2521]) ).
cnf(t3354,plain,
inverse(multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(inverse(inverse(X4))))) = X4,
inference(step,[status(thm)],[t3353,t2521]) ).
cnf(t2554,plain,
inverse(multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(inverse(inverse(X4))))) = X4,
inference(rw,[status(thm)],[t3354]) ).
cnf(t2648,plain,
multiply(X1,inverse(X1)) = multiply(inverse(inverse(inverse(X2))),X2),
inference(cp,[status(thm)],[t2077,t2628]) ).
cnf(t2908,plain,
multiply(X1,inverse(X1)) = multiply(inverse(inverse(inverse(X2))),X2),
inference(orient,[status(thm)],[t2648]) ).
cnf(t3368,plain,
inverse(multiply(multiply(b2,inverse(b2)),inverse(inverse(inverse(X4))))) = X4,
inference(step,[status(thm)],[t2554,t2908]) ).
cnf(t3003,plain,
inverse(multiply(multiply(b2,inverse(b2)),inverse(inverse(inverse(X1))))) = X1,
inference(orient,[status(thm)],[t3368]) ).
cnf(t3005,plain,
inverse(X1) = inverse(multiply(multiply(b2,inverse(b2)),X1)),
inference(cp,[status(thm)],[t3003,t2628]) ).
cnf(t3046,plain,
inverse(multiply(multiply(b2,inverse(b2)),X1)) = inverse(X1),
inference(orient,[status(thm)],[t3005]) ).
cnf(t3063,plain,
multiply(multiply(b2,inverse(b2)),X1) = inverse(inverse(inverse(inverse(X1)))),
inference(cp,[status(thm)],[t2628,t3046]) ).
cnf(t3369,plain,
multiply(multiply(b2,inverse(b2)),X1) = X1,
inference(step,[status(thm)],[t3063,t2628]) ).
cnf(t3088,plain,
multiply(multiply(b2,inverse(b2)),X1) = X1,
inference(orient,[status(thm)],[t3369]) ).
cnf(t3099,plain,
X1 = multiply(multiply(X2,inverse(X2)),X1),
inference(cp,[status(thm)],[t3088,t2077]) ).
cnf(t3111,plain,
multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(orient,[status(thm)],[t3099]) ).
cnf(t2633,plain,
inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))),
inference(cp,[status(thm)],[t2563,t2628]) ).
cnf(t2687,plain,
inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))),
inference(orient,[status(thm)],[t2633]) ).
cnf(t2689,plain,
multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = inverse(inverse(inverse(inverse(X2)))),
inference(cp,[status(thm)],[t2687,t2521]) ).
cnf(t3366,plain,
multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2,
inference(step,[status(thm)],[t2689,t2628]) ).
cnf(t2725,plain,
multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2,
inference(orient,[status(thm)],[t3366]) ).
cnf(t2637,plain,
inverse(inverse(X1)) = multiply(X1,inverse(multiply(X2,inverse(X2)))),
inference(cp,[status(thm)],[t2608,t2628]) ).
cnf(t2658,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = inverse(inverse(X1)),
inference(orient,[status(thm)],[t2637]) ).
cnf(t2727,plain,
inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(inverse(inverse(inverse(inverse(X2)))))),
inference(cp,[status(thm)],[t2725,t2658]) ).
cnf(t3367,plain,
inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(X2)),
inference(step,[status(thm)],[t2727,t2628]) ).
cnf(t2751,plain,
inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(X2)),
inference(orient,[status(thm)],[t3367]) ).
cnf(t2758,plain,
inverse(inverse(X1)) = multiply(multiply(X2,inverse(X2)),multiply(multiply(X3,inverse(X3)),X1)),
inference(cp,[status(thm)],[t2521,t2751]) ).
cnf(t2968,plain,
multiply(multiply(X1,inverse(X1)),multiply(multiply(X2,inverse(X2)),X3)) = inverse(inverse(X3)),
inference(orient,[status(thm)],[t2758]) ).
cnf(t3370,plain,
multiply(multiply(X2,inverse(X2)),X3) = inverse(inverse(X3)),
inference(step,[status(thm)],[t2968,t3111]) ).
cnf(t3371,plain,
X3 = inverse(inverse(X3)),
inference(step,[status(thm)],[t3370,t3111]) ).
cnf(t3141,plain,
X3 = inverse(inverse(X3)),
inference(rw,[status(thm)],[t3371]) ).
cnf(t3142,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t3141]) ).
cnf(t3150,plain,
X1 = multiply(multiply(inverse(X2),X2),X1),
inference(cp,[status(thm)],[t3111,t3142]) ).
cnf(t3307,plain,
multiply(multiply(inverse(X1),X1),X2) = X2,
inference(orient,[status(thm)],[t3150]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
a2 != a2,
inference(rw,[status(thm)],[goal_0,t3307]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP428-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n003.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Wed Sep 23 14:46:26 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.53/6.23 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.53/6.23 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------