TSTP Solution File: GRP062-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP062-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:20:48 EDT 2024
% Result : Unsatisfiable 37.96s 6.03s
% Output : CNFRefutation 37.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 2
% Syntax : Number of clauses : 134 ( 132 unt; 0 nHn; 30 RR)
% Number of literals : 138 ( 137 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 224 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_100,plain,
inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0)))),multiply(multiply(X4,inverse(X4)),X2)))) = X3,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_128,plain,
inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(multiply(multiply(X2,inverse(X2)),X3),multiply(multiply(X4,inverse(X4)),X5)))) = multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,multiply(X3,X5)))),
inference(superposition,[status(thm)],[c_100,c_100]) ).
cnf(c_129,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,X3)))) = sP0_iProver_def(X1,X2,X3),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_128]) ).
cnf(c_147,plain,
inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,sP0_iProver_def(X0,X1,X2)))),multiply(multiply(X5,inverse(X5)),X4)))) = multiply(X6,inverse(X6)),
inference(superposition,[status(thm)],[c_129,c_100]) ).
cnf(c_154,plain,
multiply(X0,inverse(X0)) = sP1_iProver_def,
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_147]) ).
cnf(c_2783,plain,
inverse(multiply(X0,multiply(X1,multiply(sP1_iProver_def,inverse(multiply(X2,multiply(X0,X1))))))) = X2,
inference(demodulation,[status(thm)],[c_49,c_154]) ).
cnf(c_2785,plain,
inverse(multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(X1,sP1_iProver_def)))))) = X1,
inference(superposition,[status(thm)],[c_154,c_2783]) ).
cnf(c_2787,plain,
inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,multiply(X2,X0)))),multiply(sP1_iProver_def,X1)))) = X2,
inference(superposition,[status(thm)],[c_2783,c_2783]) ).
cnf(c_2791,plain,
multiply(multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(X1,sP1_iProver_def))))),X1) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2785,c_154]) ).
cnf(c_2793,plain,
multiply(multiply(multiply(X0,multiply(X1,multiply(sP1_iProver_def,inverse(multiply(X2,multiply(X0,X1)))))),multiply(X2,multiply(sP1_iProver_def,inverse(multiply(X3,sP1_iProver_def))))),X3) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2783,c_2791]) ).
cnf(c_2798,plain,
multiply(multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(sP1_iProver_def)))),multiply(X1,multiply(inverse(X1),multiply(sP1_iProver_def,inverse(multiply(sP1_iProver_def,sP1_iProver_def)))))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2791,c_2791]) ).
cnf(c_2799,plain,
multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(sP1_iProver_def,sP1_iProver_def))))) = inverse(multiply(X1,multiply(inverse(X1),multiply(sP1_iProver_def,inverse(sP1_iProver_def))))),
inference(superposition,[status(thm)],[c_2791,c_2785]) ).
cnf(c_2800,plain,
multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(sP1_iProver_def,sP1_iProver_def))))) = inverse(multiply(X1,multiply(inverse(X1),sP1_iProver_def))),
inference(demodulation,[status(thm)],[c_2799,c_154]) ).
cnf(c_2801,plain,
inverse(multiply(X0,multiply(inverse(X0),sP1_iProver_def))) = sP5_iProver_def,
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_2800]) ).
cnf(c_2802,plain,
multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(sP1_iProver_def,sP1_iProver_def))))) = sP5_iProver_def,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2800]) ).
cnf(c_2803,plain,
multiply(multiply(X0,multiply(inverse(X0),sP1_iProver_def)),multiply(X1,multiply(inverse(X1),multiply(sP1_iProver_def,inverse(multiply(sP1_iProver_def,sP1_iProver_def)))))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2798,c_154]) ).
cnf(c_2806,plain,
inverse(multiply(multiply(X0,multiply(X1,multiply(sP1_iProver_def,inverse(multiply(X2,multiply(X0,X1)))))),multiply(X2,sP1_iProver_def))) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_2783,c_2801]) ).
cnf(c_2808,plain,
inverse(multiply(multiply(X0,multiply(inverse(X0),sP1_iProver_def)),multiply(sP5_iProver_def,sP1_iProver_def))) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_2801,c_2801]) ).
cnf(c_2812,plain,
multiply(multiply(X0,multiply(inverse(X0),sP1_iProver_def)),sP5_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2801,c_154]) ).
cnf(c_2813,plain,
inverse(multiply(inverse(X0),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = X0,
inference(superposition,[status(thm)],[c_2801,c_2783]) ).
cnf(c_2816,plain,
multiply(multiply(multiply(X0,multiply(inverse(X0),sP1_iProver_def)),multiply(sP5_iProver_def,sP1_iProver_def)),sP5_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2801,c_2812]) ).
cnf(c_2818,plain,
multiply(X0,multiply(X1,multiply(sP1_iProver_def,inverse(multiply(X2,multiply(X0,X1)))))) = inverse(multiply(X2,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),
inference(superposition,[status(thm)],[c_2783,c_2813]) ).
cnf(c_2821,plain,
inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = multiply(inverse(X0),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def))),
inference(superposition,[status(thm)],[c_2813,c_2813]) ).
cnf(c_2827,plain,
multiply(multiply(inverse(X0),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def))),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2813,c_154]) ).
cnf(c_2828,plain,
inverse(multiply(sP1_iProver_def,multiply(multiply(sP1_iProver_def,sP5_iProver_def),multiply(sP1_iProver_def,X0)))) = inverse(X0),
inference(superposition,[status(thm)],[c_2813,c_2783]) ).
cnf(c_2829,plain,
multiply(inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),X0) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2827,c_2821]) ).
cnf(c_2834,plain,
inverse(multiply(multiply(X0,X1),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = inverse(multiply(X0,multiply(X1,multiply(sP1_iProver_def,inverse(sP1_iProver_def))))),
inference(superposition,[status(thm)],[c_2829,c_2783]) ).
cnf(c_2836,plain,
inverse(multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(sP1_iProver_def))))) = inverse(multiply(sP1_iProver_def,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),
inference(superposition,[status(thm)],[c_2829,c_2785]) ).
cnf(c_2843,plain,
inverse(multiply(sP1_iProver_def,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_2836,c_154,c_2801]) ).
cnf(c_2845,plain,
inverse(multiply(multiply(X0,X1),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = inverse(multiply(X0,multiply(X1,sP1_iProver_def))),
inference(demodulation,[status(thm)],[c_2834,c_154]) ).
cnf(c_2856,plain,
inverse(multiply(sP5_iProver_def,multiply(multiply(sP1_iProver_def,inverse(multiply(X0,sP1_iProver_def))),multiply(sP1_iProver_def,X0)))) = multiply(X1,multiply(inverse(X1),sP1_iProver_def)),
inference(superposition,[status(thm)],[c_2812,c_2787]) ).
cnf(c_2857,plain,
inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,sP1_iProver_def))),multiply(sP1_iProver_def,X1)))) = inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),
inference(superposition,[status(thm)],[c_2829,c_2787]) ).
cnf(c_2858,plain,
inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),multiply(X1,X0)))),sP1_iProver_def))) = X1,
inference(superposition,[status(thm)],[c_154,c_2787]) ).
cnf(c_2859,plain,
multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,multiply(X2,X0)))),multiply(sP1_iProver_def,X1))) = inverse(multiply(X2,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),
inference(superposition,[status(thm)],[c_2787,c_2813]) ).
cnf(c_2860,plain,
multiply(multiply(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,multiply(X2,X0)))),multiply(sP1_iProver_def,X1))),multiply(X2,sP1_iProver_def)),sP5_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2787,c_2812]) ).
cnf(c_2861,plain,
inverse(multiply(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,multiply(X2,X0)))),multiply(sP1_iProver_def,X1))),multiply(X2,sP1_iProver_def))) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_2787,c_2801]) ).
cnf(c_2862,plain,
multiply(multiply(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,multiply(X2,X0)))),multiply(sP1_iProver_def,X1))),multiply(X2,multiply(sP1_iProver_def,inverse(multiply(X3,sP1_iProver_def))))),X3) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2787,c_2791]) ).
cnf(c_2863,plain,
inverse(multiply(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,multiply(X2,X0)))),multiply(sP1_iProver_def,X1))),multiply(X2,multiply(sP1_iProver_def,inverse(multiply(X3,sP1_iProver_def)))))) = X3,
inference(superposition,[status(thm)],[c_2787,c_2785]) ).
cnf(c_2864,plain,
multiply(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,multiply(X2,X0)))),multiply(sP1_iProver_def,X1))),X2) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2787,c_154]) ).
cnf(c_2867,plain,
multiply(X0,multiply(inverse(X0),sP1_iProver_def)) = sP6_iProver_def,
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_2856]) ).
cnf(c_2868,plain,
inverse(multiply(sP5_iProver_def,multiply(multiply(sP1_iProver_def,inverse(multiply(X0,sP1_iProver_def))),multiply(sP1_iProver_def,X0)))) = sP6_iProver_def,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2856]) ).
cnf(c_2872,plain,
multiply(multiply(inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),multiply(X0,multiply(sP1_iProver_def,inverse(multiply(X1,sP1_iProver_def))))),X1) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2793,c_2818]) ).
cnf(c_2877,plain,
multiply(multiply(inverse(multiply(multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(X1,sP1_iProver_def))),sP1_iProver_def))))),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),sP1_iProver_def),X1) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2791,c_2872]) ).
cnf(c_2884,plain,
multiply(inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),multiply(X0,multiply(sP1_iProver_def,inverse(multiply(multiply(X1,X2),sP1_iProver_def))))) = inverse(multiply(X1,multiply(X2,multiply(sP1_iProver_def,inverse(sP1_iProver_def))))),
inference(superposition,[status(thm)],[c_2872,c_2783]) ).
cnf(c_2888,plain,
multiply(inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),multiply(X0,multiply(sP1_iProver_def,inverse(multiply(X1,sP1_iProver_def))))) = inverse(multiply(X1,multiply(multiply(sP1_iProver_def,inverse(multiply(X2,sP1_iProver_def))),multiply(sP1_iProver_def,X2)))),
inference(superposition,[status(thm)],[c_2872,c_2787]) ).
cnf(c_2889,plain,
inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),multiply(sP1_iProver_def,multiply(inverse(multiply(X1,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),multiply(X1,multiply(sP1_iProver_def,inverse(multiply(multiply(X2,X0),sP1_iProver_def))))))))) = X2,
inference(superposition,[status(thm)],[c_2872,c_2787]) ).
cnf(c_2897,plain,
multiply(inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),multiply(X0,multiply(sP1_iProver_def,inverse(multiply(multiply(X1,X2),sP1_iProver_def))))) = inverse(multiply(X1,multiply(X2,sP1_iProver_def))),
inference(demodulation,[status(thm)],[c_2884,c_154]) ).
cnf(c_2899,plain,
multiply(multiply(inverse(multiply(X0,multiply(multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(X1,sP1_iProver_def))),sP1_iProver_def)))),sP1_iProver_def))),sP1_iProver_def),X1) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2877,c_2845]) ).
cnf(c_2901,plain,
inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,multiply(inverse(multiply(X1,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),multiply(X1,multiply(sP1_iProver_def,inverse(multiply(multiply(X2,X0),sP1_iProver_def))))))))) = X2,
inference(demodulation,[status(thm)],[c_2889,c_154]) ).
cnf(c_2902,plain,
multiply(inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),multiply(X0,multiply(sP1_iProver_def,inverse(multiply(X1,sP1_iProver_def))))) = inverse(multiply(X1,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),
inference(demodulation,[status(thm)],[c_2888,c_2857]) ).
cnf(c_2907,plain,
multiply(sP6_iProver_def,sP5_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2803,c_2802,c_2867]) ).
cnf(c_2910,plain,
inverse(multiply(inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),multiply(X0,sP1_iProver_def))) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_2806,c_2818]) ).
cnf(c_2930,plain,
inverse(multiply(sP6_iProver_def,multiply(sP5_iProver_def,sP1_iProver_def))) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_2808,c_2867]) ).
cnf(c_2931,plain,
inverse(multiply(sP5_iProver_def,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = multiply(sP6_iProver_def,multiply(sP5_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_2930,c_2813]) ).
cnf(c_2937,plain,
inverse(multiply(sP5_iProver_def,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_2930,c_2783]) ).
cnf(c_2938,plain,
inverse(multiply(sP1_iProver_def,multiply(multiply(sP1_iProver_def,sP5_iProver_def),multiply(sP1_iProver_def,sP6_iProver_def)))) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_2930,c_2787]) ).
cnf(c_2939,plain,
inverse(sP6_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_2938,c_2828]) ).
cnf(c_2980,plain,
multiply(sP6_iProver_def,multiply(sP5_iProver_def,sP1_iProver_def)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_2939,c_2867]) ).
cnf(c_3008,plain,
inverse(multiply(sP1_iProver_def,multiply(multiply(sP1_iProver_def,sP5_iProver_def),multiply(sP1_iProver_def,sP5_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2843,c_2783]) ).
cnf(c_3012,plain,
multiply(sP5_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2843,c_2829]) ).
cnf(c_3013,plain,
inverse(sP5_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_3008,c_2828]) ).
cnf(c_3023,plain,
multiply(multiply(sP6_iProver_def,sP1_iProver_def),sP5_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2816,c_2867,c_3012]) ).
cnf(c_3025,plain,
inverse(multiply(sP5_iProver_def,multiply(multiply(sP1_iProver_def,inverse(multiply(X0,sP1_iProver_def))),multiply(sP1_iProver_def,X0)))) = multiply(sP6_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_3023,c_2787]) ).
cnf(c_3026,plain,
multiply(sP6_iProver_def,sP1_iProver_def) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_3025,c_2868]) ).
cnf(c_3029,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(X0,multiply(X1,X2)))),multiply(multiply(sP1_iProver_def,X0),multiply(sP1_iProver_def,X1))) = inverse(multiply(X2,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),
inference(superposition,[status(thm)],[c_2787,c_2818]) ).
cnf(c_3036,plain,
inverse(multiply(multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(multiply(X1,X2),sP1_iProver_def))))),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = multiply(X1,multiply(X2,multiply(sP1_iProver_def,inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_2791,c_2818]) ).
cnf(c_3066,plain,
inverse(multiply(X0,multiply(multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(multiply(X1,X2),sP1_iProver_def)))),sP1_iProver_def))) = multiply(X1,multiply(X2,sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_3036,c_154,c_2845]) ).
cnf(c_3158,plain,
inverse(multiply(inverse(multiply(sP6_iProver_def,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),sP6_iProver_def)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_3026,c_2910]) ).
cnf(c_3162,plain,
inverse(sP1_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_3158,c_2829]) ).
cnf(c_3169,plain,
inverse(multiply(sP5_iProver_def,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_3162,c_2813]) ).
cnf(c_3174,plain,
multiply(sP1_iProver_def,sP5_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_3162,c_154]) ).
cnf(c_3178,plain,
sP1_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_3169,c_2937]) ).
cnf(c_3181,plain,
multiply(sP6_iProver_def,sP6_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_3178,c_3026]) ).
cnf(c_3258,plain,
inverse(multiply(X0,multiply(multiply(sP6_iProver_def,inverse(multiply(sP5_iProver_def,multiply(X1,X0)))),sP6_iProver_def))) = X1,
inference(demodulation,[status(thm)],[c_2858,c_3162,c_3178]) ).
cnf(c_3262,plain,
inverse(multiply(sP1_iProver_def,multiply(multiply(sP6_iProver_def,sP5_iProver_def),sP6_iProver_def))) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_2801,c_3258]) ).
cnf(c_3297,plain,
sP5_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_3262,c_2907,c_2939,c_3013,c_3178,c_3181]) ).
cnf(c_3327,plain,
multiply(X0,multiply(multiply(sP5_iProver_def,inverse(multiply(X1,multiply(X2,X0)))),multiply(sP5_iProver_def,X1))) = inverse(multiply(X2,multiply(sP5_iProver_def,sP5_iProver_def))),
inference(demodulation,[status(thm)],[c_2859,c_3174,c_3178,c_3297]) ).
cnf(c_3357,plain,
inverse(multiply(inverse(multiply(X0,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),multiply(sP5_iProver_def,sP5_iProver_def))) = multiply(X0,multiply(multiply(sP5_iProver_def,inverse(multiply(X1,sP1_iProver_def))),multiply(sP5_iProver_def,X1))),
inference(superposition,[status(thm)],[c_2829,c_3327]) ).
cnf(c_3363,plain,
multiply(sP1_iProver_def,multiply(multiply(sP5_iProver_def,inverse(multiply(X0,sP6_iProver_def))),multiply(sP5_iProver_def,X0))) = inverse(multiply(sP6_iProver_def,multiply(sP5_iProver_def,sP5_iProver_def))),
inference(superposition,[status(thm)],[c_3026,c_3327]) ).
cnf(c_3391,plain,
multiply(sP5_iProver_def,multiply(multiply(sP5_iProver_def,inverse(multiply(X0,sP5_iProver_def))),multiply(sP5_iProver_def,X0))) = inverse(multiply(sP5_iProver_def,multiply(sP5_iProver_def,sP5_iProver_def))),
inference(demodulation,[status(thm)],[c_3363,c_3178,c_3297]) ).
cnf(c_3411,plain,
multiply(X0,multiply(multiply(sP5_iProver_def,inverse(multiply(X1,sP5_iProver_def))),multiply(sP5_iProver_def,X1))) = inverse(multiply(inverse(multiply(X0,multiply(sP5_iProver_def,sP5_iProver_def))),multiply(sP5_iProver_def,sP5_iProver_def))),
inference(demodulation,[status(thm)],[c_3357,c_3174,c_3178,c_3297]) ).
cnf(c_3436,plain,
multiply(multiply(inverse(multiply(X0,multiply(sP5_iProver_def,sP5_iProver_def))),multiply(X0,sP5_iProver_def)),sP5_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_2860,c_2859,c_3174,c_3178,c_3297]) ).
cnf(c_3452,plain,
inverse(multiply(sP5_iProver_def,multiply(multiply(sP1_iProver_def,inverse(multiply(X0,sP5_iProver_def))),multiply(sP1_iProver_def,X0)))) = multiply(inverse(multiply(X1,multiply(sP5_iProver_def,sP5_iProver_def))),multiply(X1,sP5_iProver_def)),
inference(superposition,[status(thm)],[c_3436,c_2787]) ).
cnf(c_3466,plain,
multiply(inverse(multiply(X0,multiply(sP5_iProver_def,sP5_iProver_def))),multiply(X0,sP5_iProver_def)) = inverse(inverse(multiply(sP5_iProver_def,multiply(sP5_iProver_def,sP5_iProver_def)))),
inference(demodulation,[status(thm)],[c_3452,c_3178,c_3297,c_3391]) ).
cnf(c_3471,plain,
inverse(inverse(inverse(multiply(sP5_iProver_def,multiply(sP5_iProver_def,sP5_iProver_def))))) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_2861,c_2859,c_3174,c_3178,c_3297,c_3466]) ).
cnf(c_3475,plain,
inverse(multiply(sP5_iProver_def,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = inverse(inverse(multiply(sP5_iProver_def,multiply(sP5_iProver_def,sP5_iProver_def)))),
inference(superposition,[status(thm)],[c_3471,c_2813]) ).
cnf(c_3485,plain,
inverse(inverse(multiply(sP5_iProver_def,multiply(sP5_iProver_def,sP5_iProver_def)))) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_3475,c_2931,c_2980,c_3297]) ).
cnf(c_3490,plain,
multiply(multiply(inverse(multiply(X0,multiply(sP5_iProver_def,sP5_iProver_def))),multiply(X0,multiply(sP5_iProver_def,inverse(multiply(X1,sP5_iProver_def))))),X1) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_2862,c_2859,c_3174,c_3178,c_3297]) ).
cnf(c_3508,plain,
multiply(multiply(inverse(multiply(X0,multiply(sP5_iProver_def,sP5_iProver_def))),multiply(X0,multiply(sP5_iProver_def,inverse(sP5_iProver_def)))),multiply(inverse(multiply(X1,multiply(sP5_iProver_def,sP5_iProver_def))),multiply(X1,sP5_iProver_def))) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_3436,c_3490]) ).
cnf(c_3548,plain,
multiply(sP5_iProver_def,sP5_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_3508,c_154,c_3178,c_3297,c_3466,c_3485]) ).
cnf(c_3582,plain,
inverse(multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP5_iProver_def,inverse(multiply(X1,sP5_iProver_def)))))) = X1,
inference(demodulation,[status(thm)],[c_2863,c_2859,c_3174,c_3178,c_3297,c_3548]) ).
cnf(c_3615,plain,
multiply(X0,multiply(multiply(sP5_iProver_def,inverse(multiply(X1,sP5_iProver_def))),multiply(sP1_iProver_def,X1))) = inverse(multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))),
inference(superposition,[status(thm)],[c_3582,c_2818]) ).
cnf(c_3641,plain,
inverse(multiply(inverse(multiply(X0,sP5_iProver_def)),sP5_iProver_def)) = multiply(X0,sP5_iProver_def),
inference(demodulation,[status(thm)],[c_3615,c_2813,c_3178,c_3297,c_3411,c_3548]) ).
cnf(c_3655,plain,
multiply(inverse(multiply(X0,sP5_iProver_def)),X0) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_2864,c_2859,c_3174,c_3178,c_3297,c_3548]) ).
cnf(c_3669,plain,
inverse(multiply(inverse(multiply(multiply(X0,X1),sP5_iProver_def)),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = multiply(X0,multiply(X1,multiply(sP1_iProver_def,inverse(sP5_iProver_def)))),
inference(superposition,[status(thm)],[c_3655,c_2818]) ).
cnf(c_3670,plain,
inverse(multiply(X0,multiply(X1,multiply(sP1_iProver_def,inverse(sP5_iProver_def))))) = inverse(multiply(multiply(X0,X1),sP5_iProver_def)),
inference(superposition,[status(thm)],[c_3655,c_2783]) ).
cnf(c_3703,plain,
inverse(multiply(inverse(multiply(inverse(multiply(multiply(sP5_iProver_def,inverse(multiply(X0,sP5_iProver_def))),sP5_iProver_def)),sP5_iProver_def)),sP5_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_3655,c_3582]) ).
cnf(c_3709,plain,
inverse(multiply(multiply(X0,X1),sP5_iProver_def)) = inverse(multiply(X0,multiply(X1,sP5_iProver_def))),
inference(demodulation,[status(thm)],[c_3670,c_3013,c_3178,c_3297,c_3548]) ).
cnf(c_3711,plain,
multiply(inverse(multiply(multiply(sP5_iProver_def,inverse(multiply(X0,sP5_iProver_def))),sP5_iProver_def)),sP5_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_3703,c_3641]) ).
cnf(c_3723,plain,
multiply(multiply(X0,X1),sP5_iProver_def) = multiply(X0,multiply(X1,sP5_iProver_def)),
inference(demodulation,[status(thm)],[c_3669,c_2813,c_3013,c_3178,c_3297,c_3548]) ).
cnf(c_3799,plain,
inverse(sP5_iProver_def) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_3297,c_2939]) ).
cnf(c_3813,plain,
sP1_iProver_def = sP5_iProver_def,
inference(superposition,[status(thm)],[c_3799,c_3013]) ).
cnf(c_3821,plain,
inverse(multiply(X0,multiply(sP5_iProver_def,multiply(sP5_iProver_def,sP5_iProver_def)))) = multiply(inverse(X0),multiply(sP5_iProver_def,multiply(sP5_iProver_def,sP5_iProver_def))),
inference(superposition,[status(thm)],[c_3813,c_2821]) ).
cnf(c_3841,plain,
inverse(multiply(X0,sP5_iProver_def)) = multiply(inverse(X0),sP5_iProver_def),
inference(demodulation,[status(thm)],[c_3821,c_3548]) ).
cnf(c_3863,plain,
multiply(multiply(sP5_iProver_def,inverse(multiply(X0,sP5_iProver_def))),X0) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_2899,c_3066,c_3548,c_3709,c_3723,c_3813,c_3841]) ).
cnf(c_3879,plain,
inverse(multiply(X0,multiply(X1,multiply(sP1_iProver_def,inverse(sP5_iProver_def))))) = multiply(sP5_iProver_def,inverse(multiply(multiply(X0,X1),sP5_iProver_def))),
inference(superposition,[status(thm)],[c_3863,c_2783]) ).
cnf(c_3907,plain,
inverse(multiply(inverse(multiply(multiply(sP5_iProver_def,inverse(multiply(multiply(sP5_iProver_def,inverse(multiply(X0,sP5_iProver_def))),sP5_iProver_def))),sP5_iProver_def)),sP5_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_3863,c_3582]) ).
cnf(c_3912,plain,
multiply(sP5_iProver_def,inverse(multiply(X0,multiply(X1,sP5_iProver_def)))) = inverse(multiply(X0,multiply(X1,sP5_iProver_def))),
inference(demodulation,[status(thm)],[c_3879,c_3548,c_3709,c_3799,c_3813]) ).
cnf(c_3914,plain,
multiply(sP5_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_3907,c_3641,c_3711,c_3723]) ).
cnf(c_3927,plain,
inverse(multiply(X0,inverse(multiply(X1,multiply(X0,sP5_iProver_def))))) = X1,
inference(demodulation,[status(thm)],[c_2901,c_2897,c_3813,c_3912]) ).
cnf(c_3947,plain,
inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(X0,sP5_iProver_def)))),multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))) = multiply(X1,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def))),
inference(superposition,[status(thm)],[c_3927,c_2821]) ).
cnf(c_3963,plain,
multiply(X0,sP5_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_3947,c_2845,c_3174,c_3548,c_3709,c_3723,c_3813,c_3841,c_3927]) ).
cnf(c_3965,plain,
multiply(inverse(X0),multiply(X0,inverse(X1))) = inverse(X1),
inference(demodulation,[status(thm)],[c_2902,c_3174,c_3548,c_3813,c_3914,c_3963]) ).
cnf(c_4006,plain,
multiply(inverse(X0),multiply(X0,sP5_iProver_def)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_3471,c_3965]) ).
cnf(c_4009,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_3927,c_3965]) ).
cnf(c_4022,plain,
inverse(multiply(sP1_iProver_def,inverse(multiply(X0,sP1_iProver_def)))) = X0,
inference(superposition,[status(thm)],[c_3965,c_2785]) ).
cnf(c_4027,plain,
multiply(inverse(X0),X0) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_4006,c_3963]) ).
cnf(c_4031,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_4022,c_3813,c_3914,c_3963]) ).
cnf(c_4113,plain,
multiply(multiply(sP5_iProver_def,inverse(multiply(X0,multiply(X1,sP5_iProver_def)))),multiply(sP5_iProver_def,X0)) = inverse(multiply(X1,multiply(sP5_iProver_def,sP5_iProver_def))),
inference(superposition,[status(thm)],[c_3914,c_3327]) ).
cnf(c_4127,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(demodulation,[status(thm)],[c_4113,c_3548,c_3912,c_3914,c_3963]) ).
cnf(c_4313,plain,
multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)) = inverse(X2),
inference(demodulation,[status(thm)],[c_3029,c_3174,c_3548,c_3813,c_3914,c_3963]) ).
cnf(c_4347,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP5_iProver_def)))))),multiply(X0,X2)) = inverse(multiply(X3,multiply(sP1_iProver_def,inverse(multiply(X1,multiply(X2,X3)))))),
inference(superposition,[status(thm)],[c_2818,c_4313]) ).
cnf(c_4374,plain,
multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),sP1_iProver_def) = inverse(X1),
inference(superposition,[status(thm)],[c_154,c_4313]) ).
cnf(c_4408,plain,
multiply(multiply(X0,X1),multiply(multiply(sP5_iProver_def,inverse(multiply(X2,inverse(X3)))),multiply(sP5_iProver_def,X2))) = inverse(multiply(inverse(multiply(X0,multiply(X1,X3))),multiply(sP5_iProver_def,sP5_iProver_def))),
inference(superposition,[status(thm)],[c_4313,c_3327]) ).
cnf(c_4430,plain,
inverse(multiply(X0,multiply(inverse(X0),X1))) = inverse(X1),
inference(demodulation,[status(thm)],[c_4374,c_3709,c_3723,c_3813,c_3841,c_3963]) ).
cnf(c_4444,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_4408,c_3548,c_3709,c_3723,c_3841,c_3914,c_3963,c_4031,c_4127]) ).
cnf(c_4449,plain,
inverse(multiply(X0,inverse(multiply(X1,multiply(X2,X0))))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(demodulation,[status(thm)],[c_4347,c_3174,c_3548,c_3813,c_3914,c_3963]) ).
cnf(c_4450,plain,
inverse(multiply(X0,inverse(multiply(X1,multiply(X2,X0))))) = sP9_iProver_def(X1,X2),
inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_4449]) ).
cnf(c_5302,plain,
inverse(multiply(X0,multiply(inverse(X0),multiply(sP1_iProver_def,inverse(multiply(X1,multiply(X2,sP1_iProver_def))))))) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_4444,c_2785]) ).
cnf(c_5362,plain,
multiply(X0,X1) = sP9_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_5302,c_4430,c_4450]) ).
cnf(c_9975,plain,
( sP9_iProver_def(a3,multiply(b3,c3)) != sP9_iProver_def(a3,multiply(b3,c3))
| a2 != a2
| sP5_iProver_def != sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_50,c_4009,c_4027,c_4444,c_5362]) ).
cnf(c_9976,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_9975]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP062-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.07 % Command : run_iprover %s %d THM
% 0.07/0.26 % Computer : n026.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri May 3 00:04:06 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.10/0.34 Running first-order theorem proving
% 0.10/0.34 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 37.96/6.03 % SZS status Started for theBenchmark.p
% 37.96/6.03 % SZS status Unsatisfiable for theBenchmark.p
% 37.96/6.03
% 37.96/6.03 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 37.96/6.03
% 37.96/6.03 ------ iProver source info
% 37.96/6.03
% 37.96/6.03 git: date: 2024-05-02 19:28:25 +0000
% 37.96/6.03 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 37.96/6.03 git: non_committed_changes: false
% 37.96/6.03
% 37.96/6.03 ------ Parsing...successful
% 37.96/6.03
% 37.96/6.03
% 37.96/6.03
% 37.96/6.03 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 37.96/6.03
% 37.96/6.03 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 37.96/6.03
% 37.96/6.03 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 37.96/6.03 ------ Proving...
% 37.96/6.03 ------ Problem Properties
% 37.96/6.03
% 37.96/6.03
% 37.96/6.03 clauses 2
% 37.96/6.03 conjectures 1
% 37.96/6.03 EPR 0
% 37.96/6.03 Horn 2
% 37.96/6.03 unary 1
% 37.96/6.03 binary 0
% 37.96/6.03 lits 4
% 37.96/6.03 lits eq 4
% 37.96/6.03 fd_pure 0
% 37.96/6.03 fd_pseudo 0
% 37.96/6.03 fd_cond 0
% 37.96/6.03 fd_pseudo_cond 0
% 37.96/6.03 AC symbols 0
% 37.96/6.03
% 37.96/6.03 ------ Input Options Time Limit: Unbounded
% 37.96/6.03
% 37.96/6.03
% 37.96/6.03 ------
% 37.96/6.03 Current options:
% 37.96/6.03 ------
% 37.96/6.03
% 37.96/6.03
% 37.96/6.03
% 37.96/6.03
% 37.96/6.03 ------ Proving...
% 37.96/6.03
% 37.96/6.03
% 37.96/6.03 % SZS status Unsatisfiable for theBenchmark.p
% 37.96/6.03
% 37.96/6.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.96/6.03
% 37.96/6.03
%------------------------------------------------------------------------------