TSTP Solution File: GRP685-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP685-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 02:23:26 EDT 2024

% Result   : Unsatisfiable 7.95s 1.67s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :    8
% Syntax   : Number of clauses     :  110 ( 110 unt;   0 nHn;   6 RR)
%            Number of literals    :  110 ( 109 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  237 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ld(X0,mult(X0,X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

cnf(c_50,plain,
    rd(mult(X0,X0),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

cnf(c_51,plain,
    mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

cnf(c_52,plain,
    mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).

cnf(c_53,plain,
    ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).

cnf(c_54,plain,
    rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).

cnf(c_55,plain,
    ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).

cnf(c_56,negated_conjecture,
    rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(c_80,plain,
    mult(rd(X0,X0),X0) = X0,
    inference(demodulation,[status(thm)],[c_50,c_52]) ).

cnf(c_81,plain,
    mult(X0,ld(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_49,c_51]) ).

cnf(c_82,plain,
    mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
    inference(demodulation,[status(thm)],[c_55,c_51,c_52]) ).

cnf(c_83,plain,
    mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != mult(rd(x6,x8),x8),
    inference(demodulation,[status(thm)],[c_56,c_52]) ).

cnf(c_84,plain,
    mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
    inference(demodulation,[status(thm)],[c_54,c_52]) ).

cnf(c_85,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
    inference(demodulation,[status(thm)],[c_53,c_51]) ).

cnf(c_148,plain,
    mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
    inference(superposition,[status(thm)],[c_81,c_51]) ).

cnf(c_151,plain,
    mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
    inference(superposition,[status(thm)],[c_80,c_52]) ).

cnf(c_152,plain,
    mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
    inference(superposition,[status(thm)],[c_81,c_52]) ).

cnf(c_159,plain,
    ld(X0,X0) = rd(X0,X0),
    inference(demodulation,[status(thm)],[c_151,c_82,c_148]) ).

cnf(c_160,plain,
    mult(ld(X0,X0),X0) = X0,
    inference(demodulation,[status(thm)],[c_80,c_159]) ).

cnf(c_163,plain,
    mult(ld(X0,X0),ld(ld(X0,X0),X0)) = ld(ld(X0,X0),X0),
    inference(superposition,[status(thm)],[c_160,c_51]) ).

cnf(c_167,plain,
    mult(rd(ld(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
    inference(light_normalisation,[status(thm)],[c_82,c_159]) ).

cnf(c_175,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
    inference(superposition,[status(thm)],[c_81,c_84]) ).

cnf(c_178,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
    inference(superposition,[status(thm)],[c_160,c_84]) ).

cnf(c_183,plain,
    mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
    inference(superposition,[status(thm)],[c_159,c_84]) ).

cnf(c_212,plain,
    mult(mult(X0,ld(X0,X1)),ld(X1,X1)) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
    inference(superposition,[status(thm)],[c_81,c_85]) ).

cnf(c_216,plain,
    mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
    inference(superposition,[status(thm)],[c_160,c_85]) ).

cnf(c_336,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,ld(X2,X2)))),
    inference(demodulation,[status(thm)],[c_175,c_167]) ).

cnf(c_343,plain,
    mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
    inference(superposition,[status(thm)],[c_159,c_336]) ).

cnf(c_347,plain,
    mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = mult(X0,ld(X0,X0)),
    inference(superposition,[status(thm)],[c_148,c_336]) ).

cnf(c_360,plain,
    mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_347,c_81]) ).

cnf(c_361,plain,
    mult(X0,mult(X0,ld(X0,ld(X0,X0)))) = rd(X0,ld(X0,X0)),
    inference(demodulation,[status(thm)],[c_152,c_343]) ).

cnf(c_362,plain,
    rd(X0,ld(X0,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_361,c_81,c_148]) ).

cnf(c_405,plain,
    mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))) = mult(rd(mult(X0,X1),X2),X2),
    inference(superposition,[status(thm)],[c_362,c_84]) ).

cnf(c_607,plain,
    mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = mult(ld(X0,X0),X0),
    inference(superposition,[status(thm)],[c_360,c_178]) ).

cnf(c_632,plain,
    mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = X0,
    inference(light_normalisation,[status(thm)],[c_607,c_160]) ).

cnf(c_848,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
    inference(superposition,[status(thm)],[c_81,c_212]) ).

cnf(c_875,plain,
    ld(ld(X0,X0),X0) = X0,
    inference(demodulation,[status(thm)],[c_163,c_848]) ).

cnf(c_961,plain,
    mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),ld(X1,X1)) = mult(X0,ld(X0,X1)),
    inference(superposition,[status(thm)],[c_875,c_212]) ).

cnf(c_1024,plain,
    mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = mult(X0,ld(X0,X0)),
    inference(superposition,[status(thm)],[c_848,c_212]) ).

cnf(c_1037,plain,
    mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1024,c_81]) ).

cnf(c_1079,plain,
    mult(rd(ld(X0,X0),rd(X1,X0)),rd(X1,X0)) = ld(X0,X0),
    inference(superposition,[status(thm)],[c_362,c_632]) ).

cnf(c_1321,plain,
    mult(ld(mult(X0,ld(X0,X1)),X2),ld(ld(mult(X0,ld(X0,X1)),X2),X0)) = X0,
    inference(superposition,[status(thm)],[c_51,c_1037]) ).

cnf(c_1322,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = ld(X0,X0),
    inference(superposition,[status(thm)],[c_875,c_1037]) ).

cnf(c_1397,plain,
    mult(X0,ld(X0,ld(rd(X1,X0),rd(X1,X0)))) = ld(X0,X0),
    inference(demodulation,[status(thm)],[c_1079,c_167]) ).

cnf(c_1404,plain,
    mult(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))) = ld(ld(X0,X0),ld(X0,X0)),
    inference(superposition,[status(thm)],[c_362,c_1397]) ).

cnf(c_1863,plain,
    mult(mult(X0,ld(X0,ld(X0,X0))),ld(ld(X0,X0),ld(X0,X0))) = ld(X0,X0),
    inference(superposition,[status(thm)],[c_1322,c_212]) ).

cnf(c_1865,plain,
    ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
    inference(light_normalisation,[status(thm)],[c_1863,c_148,c_1404]) ).

cnf(c_1945,plain,
    mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),ld(X1,X1)) = mult(ld(X0,X0),ld(ld(X0,X0),X1)),
    inference(superposition,[status(thm)],[c_1865,c_212]) ).

cnf(c_1946,plain,
    mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
    inference(superposition,[status(thm)],[c_1865,c_183]) ).

cnf(c_1956,plain,
    mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,X2),X2)),
    inference(light_normalisation,[status(thm)],[c_1946,c_183,c_405]) ).

cnf(c_1957,plain,
    mult(ld(X0,X0),ld(ld(X0,X0),X1)) = mult(X0,ld(X0,X1)),
    inference(light_normalisation,[status(thm)],[c_1945,c_961]) ).

cnf(c_2006,plain,
    mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(rd(X1,X1),X1)),
    inference(superposition,[status(thm)],[c_52,c_1956]) ).

cnf(c_2010,plain,
    mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,X1),X1),
    inference(superposition,[status(thm)],[c_81,c_1956]) ).

cnf(c_2053,plain,
    mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = mult(rd(X0,X1),X1),
    inference(light_normalisation,[status(thm)],[c_2010,c_167]) ).

cnf(c_2215,plain,
    mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
    inference(superposition,[status(thm)],[c_1957,c_85]) ).

cnf(c_2219,plain,
    mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,ld(X0,X1)),
    inference(superposition,[status(thm)],[c_1957,c_216]) ).

cnf(c_2240,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(X2,ld(X2,X2)))),
    inference(demodulation,[status(thm)],[c_212,c_2215]) ).

cnf(c_2316,plain,
    mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_2006,c_159,c_160]) ).

cnf(c_2318,plain,
    mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X0),X1),
    inference(superposition,[status(thm)],[c_167,c_2316]) ).

cnf(c_2332,plain,
    mult(ld(X0,X0),X1) = mult(X0,ld(X0,X1)),
    inference(light_normalisation,[status(thm)],[c_2318,c_2219]) ).

cnf(c_2338,plain,
    mult(X0,ld(X0,ld(ld(X0,X0),X1))) = mult(X0,ld(X0,X1)),
    inference(demodulation,[status(thm)],[c_1957,c_2332]) ).

cnf(c_2396,plain,
    mult(rd(ld(X0,X0),X1),X1) = rd(mult(X0,ld(X0,X1)),X1),
    inference(superposition,[status(thm)],[c_2332,c_52]) ).

cnf(c_2410,plain,
    mult(X0,ld(X0,ld(X1,X1))) = rd(mult(X0,ld(X0,X1)),X1),
    inference(light_normalisation,[status(thm)],[c_2396,c_167]) ).

cnf(c_2917,plain,
    mult(X0,ld(X0,mult(X0,X1))) = mult(X0,X1),
    inference(superposition,[status(thm)],[c_81,c_2215]) ).

cnf(c_2918,plain,
    mult(X0,ld(X0,mult(ld(X0,X0),X1))) = mult(ld(X0,X0),X1),
    inference(superposition,[status(thm)],[c_148,c_2215]) ).

cnf(c_2946,plain,
    mult(X0,mult(X0,ld(X0,X1))) = mult(X0,X1),
    inference(light_normalisation,[status(thm)],[c_2917,c_51]) ).

cnf(c_2947,plain,
    mult(X0,ld(X0,mult(X0,ld(X0,X1)))) = mult(X0,ld(X0,X1)),
    inference(light_normalisation,[status(thm)],[c_2918,c_2332]) ).

cnf(c_2960,plain,
    mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
    inference(demodulation,[status(thm)],[c_2053,c_2946]) ).

cnf(c_2962,plain,
    mult(mult(X0,ld(X1,X1)),X1) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_2316,c_2960]) ).

cnf(c_2963,plain,
    mult(X0,ld(X1,X1)) = rd(mult(X0,X1),X1),
    inference(demodulation,[status(thm)],[c_52,c_2960]) ).

cnf(c_2966,plain,
    mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(X1,ld(X2,X2))),
    inference(demodulation,[status(thm)],[c_1956,c_2960]) ).

cnf(c_2968,plain,
    mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != mult(x6,ld(x8,x8)),
    inference(demodulation,[status(thm)],[c_83,c_2960]) ).

cnf(c_3130,plain,
    mult(mult(X0,ld(X1,X1)),X1) = mult(mult(X0,X1),ld(X1,X1)),
    inference(superposition,[status(thm)],[c_2963,c_2960]) ).

cnf(c_3131,plain,
    mult(mult(X0,X1),ld(X1,X1)) = mult(X0,X1),
    inference(light_normalisation,[status(thm)],[c_3130,c_2962]) ).

cnf(c_3183,plain,
    mult(mult(X0,X1),ld(mult(X0,X1),ld(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
    inference(superposition,[status(thm)],[c_3131,c_51]) ).

cnf(c_3229,plain,
    mult(x6,ld(ld(x7,x8),ld(x7,x8))) != mult(x6,ld(x8,x8)),
    inference(demodulation,[status(thm)],[c_2968,c_2960]) ).

cnf(c_3966,plain,
    mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(X1,ld(X2,X2))),
    inference(demodulation,[status(thm)],[c_2966,c_2960]) ).

cnf(c_4003,plain,
    mult(X0,mult(ld(X0,X1),ld(X2,X2))) = mult(X0,ld(X0,mult(X1,ld(X2,X2)))),
    inference(superposition,[status(thm)],[c_3966,c_2215]) ).

cnf(c_4744,plain,
    mult(ld(mult(X0,mult(X0,ld(X0,X1))),X2),ld(ld(mult(X0,mult(X0,ld(X0,X1))),X2),X0)) = X0,
    inference(superposition,[status(thm)],[c_51,c_1321]) ).

cnf(c_4760,plain,
    mult(ld(mult(X0,X1),X2),ld(ld(mult(X0,X1),X2),X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_4744,c_2946]) ).

cnf(c_4797,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X2))) = ld(X0,X2),
    inference(superposition,[status(thm)],[c_848,c_4760]) ).

cnf(c_5277,plain,
    mult(X0,ld(X0,ld(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
    inference(superposition,[status(thm)],[c_875,c_4797]) ).

cnf(c_5295,plain,
    mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X1)))) = ld(X0,X1),
    inference(superposition,[status(thm)],[c_4797,c_2332]) ).

cnf(c_5296,plain,
    mult(X0,ld(X0,X1)) = ld(ld(X0,X0),X1),
    inference(light_normalisation,[status(thm)],[c_5277,c_2338]) ).

cnf(c_6014,plain,
    mult(X0,ld(X0,ld(X0,X1))) = ld(X0,X1),
    inference(demodulation,[status(thm)],[c_5295,c_51,c_2946,c_5296]) ).

cnf(c_6028,plain,
    mult(X0,ld(X0,mult(ld(X0,X1),X2))) = mult(ld(X0,X1),X2),
    inference(superposition,[status(thm)],[c_6014,c_2215]) ).

cnf(c_6542,plain,
    mult(mult(X0,X1),ld(mult(X0,X1),X0)) = X0,
    inference(superposition,[status(thm)],[c_4760,c_6028]) ).

cnf(c_6700,plain,
    mult(mult(X0,X1),ld(mult(X0,X1),mult(X0,X2))) = mult(X0,X2),
    inference(superposition,[status(thm)],[c_6542,c_2215]) ).

cnf(c_7138,plain,
    mult(X0,ld(X0,mult(mult(X0,X1),X2))) = mult(mult(X0,X1),X2),
    inference(superposition,[status(thm)],[c_6542,c_6700]) ).

cnf(c_7298,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,mult(ld(X0,X2),ld(X2,X2))),
    inference(demodulation,[status(thm)],[c_2240,c_4003]) ).

cnf(c_7347,plain,
    mult(X0,mult(ld(X0,X1),ld(X1,X1))) = mult(X0,ld(X0,ld(ld(X0,X0),X1))),
    inference(superposition,[status(thm)],[c_7298,c_2332]) ).

cnf(c_7366,plain,
    mult(X0,mult(ld(X0,X1),ld(X1,X1))) = mult(X0,ld(X0,X1)),
    inference(light_normalisation,[status(thm)],[c_7347,c_2947,c_5296]) ).

cnf(c_7375,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
    inference(demodulation,[status(thm)],[c_7298,c_7366]) ).

cnf(c_8279,plain,
    mult(X0,ld(X0,mult(ld(X0,X1),ld(X1,X1)))) = ld(X0,mult(X0,ld(X0,X1))),
    inference(superposition,[status(thm)],[c_7366,c_51]) ).

cnf(c_8406,plain,
    mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = mult(X0,ld(X0,X2)),
    inference(superposition,[status(thm)],[c_51,c_7375]) ).

cnf(c_8413,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),ld(X2,X2))) = rd(mult(X0,ld(X0,X2)),X2),
    inference(superposition,[status(thm)],[c_7375,c_2410]) ).

cnf(c_10809,plain,
    mult(ld(X0,X1),ld(X1,X1)) = ld(X0,X1),
    inference(demodulation,[status(thm)],[c_8279,c_51,c_6014,c_6028]) ).

cnf(c_10838,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),ld(X1,X1))) = ld(ld(X0,X1),ld(X0,X1)),
    inference(superposition,[status(thm)],[c_10809,c_51]) ).

cnf(c_10879,plain,
    mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,X2)),
    inference(demodulation,[status(thm)],[c_8406,c_2215]) ).

cnf(c_10954,plain,
    mult(mult(X0,X1),ld(mult(X0,ld(X0,mult(X0,X1))),X2)) = mult(X0,ld(X0,X2)),
    inference(superposition,[status(thm)],[c_10879,c_7138]) ).

cnf(c_10958,plain,
    mult(mult(X0,X1),ld(mult(X0,X1),X2)) = mult(X0,ld(X0,X2)),
    inference(light_normalisation,[status(thm)],[c_10954,c_51,c_2946]) ).

cnf(c_10993,plain,
    mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
    inference(demodulation,[status(thm)],[c_3183,c_10958]) ).

cnf(c_11866,plain,
    mult(mult(X0,ld(X0,ld(X1,X1))),X2) = mult(mult(X0,X1),ld(mult(X0,X1),X2)),
    inference(superposition,[status(thm)],[c_10993,c_2332]) ).

cnf(c_11880,plain,
    mult(mult(X0,ld(X0,ld(X1,X1))),X2) = mult(X0,ld(X0,X2)),
    inference(light_normalisation,[status(thm)],[c_11866,c_10958]) ).

cnf(c_12574,plain,
    mult(X0,ld(X0,mult(X1,ld(X1,X2)))) = mult(X0,ld(X0,X2)),
    inference(demodulation,[status(thm)],[c_11880,c_2215,c_2332]) ).

cnf(c_12609,plain,
    mult(X0,mult(X0,ld(X0,X1))) = mult(X0,mult(X2,ld(X2,X1))),
    inference(superposition,[status(thm)],[c_12574,c_2946]) ).

cnf(c_12645,plain,
    mult(X0,mult(X1,ld(X1,X2))) = mult(X0,X2),
    inference(light_normalisation,[status(thm)],[c_12609,c_2946]) ).

cnf(c_14095,plain,
    mult(X0,ld(X0,ld(X1,X1))) = ld(ld(X0,X1),ld(X0,X1)),
    inference(demodulation,[status(thm)],[c_10838,c_2410,c_8413]) ).

cnf(c_14100,plain,
    mult(x6,mult(x7,ld(x7,ld(x8,x8)))) != mult(x6,ld(x8,x8)),
    inference(demodulation,[status(thm)],[c_3229,c_14095]) ).

cnf(c_14102,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_14100,c_12645]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP685-10 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 23:54:41 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running UEQ theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.95/1.67  % SZS status Started for theBenchmark.p
% 7.95/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.67  
% 7.95/1.67  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.95/1.67  
% 7.95/1.67  ------  iProver source info
% 7.95/1.67  
% 7.95/1.67  git: date: 2024-05-02 19:28:25 +0000
% 7.95/1.67  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.95/1.67  git: non_committed_changes: false
% 7.95/1.67  
% 7.95/1.67  ------ Parsing...successful
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  ------ Preprocessing... sup_sim: 6  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.95/1.67  
% 7.95/1.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.95/1.67  
% 7.95/1.67  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.95/1.67  ------ Proving...
% 7.95/1.67  ------ Problem Properties 
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  clauses                                 8
% 7.95/1.67  conjectures                             0
% 7.95/1.67  EPR                                     0
% 7.95/1.67  Horn                                    8
% 7.95/1.67  unary                                   8
% 7.95/1.67  binary                                  0
% 7.95/1.67  lits                                    8
% 7.95/1.67  lits eq                                 8
% 7.95/1.67  fd_pure                                 0
% 7.95/1.67  fd_pseudo                               0
% 7.95/1.67  fd_cond                                 0
% 7.95/1.67  fd_pseudo_cond                          0
% 7.95/1.67  AC symbols                              0
% 7.95/1.67  
% 7.95/1.67  ------ Input Options Time Limit: Unbounded
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  ------ 
% 7.95/1.67  Current options:
% 7.95/1.67  ------ 
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  ------ Proving...
% 7.95/1.67  
% 7.95/1.67  
% 7.95/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.67  
% 7.95/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.95/1.67  
% 7.95/1.68  
%------------------------------------------------------------------------------