TSTP Solution File: GRP682-11 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP682-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 02:23:25 EDT 2024

% Result   : Unsatisfiable 11.92s 2.12s
% Output   : CNFRefutation 11.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    8
% Syntax   : Number of clauses     :  108 ( 108 unt;   0 nHn;   3 RR)
%            Number of literals    :  108 ( 107 equ;   2 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   :  246 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ld(X0,mult(X0,X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

cnf(c_50,plain,
    rd(mult(X0,X0),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

cnf(c_51,plain,
    mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

cnf(c_52,plain,
    mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',f07) ).

cnf(c_56,negated_conjecture,
    ld(rd(x0,x1),mult(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
    file('/export/starexec/sandbox2/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(x0,x1),ld(rd(x0,x1),x2)) != mult(x0,ld(x0,x2)),
    inference(demodulation,[status(thm)],[c_56,c_51]) ).

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_603,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_628,plain,
    mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = X0,
    inference(light_normalisation,[status(thm)],[c_603,c_160]) ).

cnf(c_853,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
    inference(superposition,[status(thm)],[c_81,c_212]) ).

cnf(c_880,plain,
    ld(ld(X0,X0),X0) = X0,
    inference(demodulation,[status(thm)],[c_163,c_853]) ).

cnf(c_977,plain,
    mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),ld(X1,X1)) = mult(X0,ld(X0,X1)),
    inference(superposition,[status(thm)],[c_880,c_212]) ).

cnf(c_1016,plain,
    mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = mult(X0,ld(X0,X0)),
    inference(superposition,[status(thm)],[c_853,c_212]) ).

cnf(c_1029,plain,
    mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1016,c_81]) ).

cnf(c_1080,plain,
    mult(rd(ld(X0,X0),rd(X1,X0)),rd(X1,X0)) = ld(X0,X0),
    inference(superposition,[status(thm)],[c_362,c_628]) ).

cnf(c_1323,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_1029]) ).

cnf(c_1324,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = ld(X0,X0),
    inference(superposition,[status(thm)],[c_880,c_1029]) ).

cnf(c_1393,plain,
    mult(X0,ld(X0,ld(rd(X1,X0),rd(X1,X0)))) = ld(X0,X0),
    inference(demodulation,[status(thm)],[c_1080,c_167]) ).

cnf(c_1400,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_1393]) ).

cnf(c_1857,plain,
    mult(mult(X0,ld(X0,ld(X0,X0))),ld(ld(X0,X0),ld(X0,X0))) = ld(X0,X0),
    inference(superposition,[status(thm)],[c_1324,c_212]) ).

cnf(c_1859,plain,
    ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
    inference(light_normalisation,[status(thm)],[c_1857,c_148,c_1400]) ).

cnf(c_1937,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_1859,c_212]) ).

cnf(c_1938,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_1859,c_183]) ).

cnf(c_1948,plain,
    mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,X2),X2)),
    inference(light_normalisation,[status(thm)],[c_1938,c_183,c_405]) ).

cnf(c_1949,plain,
    mult(ld(X0,X0),ld(ld(X0,X0),X1)) = mult(X0,ld(X0,X1)),
    inference(light_normalisation,[status(thm)],[c_1937,c_977]) ).

cnf(c_2005,plain,
    mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(rd(X1,X1),X1)),
    inference(superposition,[status(thm)],[c_52,c_1948]) ).

cnf(c_2009,plain,
    mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,X1),X1),
    inference(superposition,[status(thm)],[c_81,c_1948]) ).

cnf(c_2014,plain,
    mult(ld(X0,X0),mult(rd(X0,X1),X1)) = mult(rd(X0,X1),X1),
    inference(superposition,[status(thm)],[c_160,c_1948]) ).

cnf(c_2052,plain,
    mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = mult(rd(X0,X1),X1),
    inference(light_normalisation,[status(thm)],[c_2009,c_167]) ).

cnf(c_2065,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X2),X2),
    inference(demodulation,[status(thm)],[c_178,c_2014]) ).

cnf(c_2243,plain,
    mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
    inference(superposition,[status(thm)],[c_1949,c_85]) ).

cnf(c_2247,plain,
    mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,ld(X0,X1)),
    inference(superposition,[status(thm)],[c_1949,c_216]) ).

cnf(c_2268,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_2243]) ).

cnf(c_2319,plain,
    mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_2005,c_159,c_160]) ).

cnf(c_2321,plain,
    mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X0),X1),
    inference(superposition,[status(thm)],[c_167,c_2319]) ).

cnf(c_2335,plain,
    mult(ld(X0,X0),X1) = mult(X0,ld(X0,X1)),
    inference(light_normalisation,[status(thm)],[c_2321,c_2247]) ).

cnf(c_2341,plain,
    mult(X0,ld(X0,ld(ld(X0,X0),X1))) = mult(X0,ld(X0,X1)),
    inference(demodulation,[status(thm)],[c_1949,c_2335]) ).

cnf(c_2382,plain,
    mult(rd(mult(X0,ld(X0,X1)),X2),X2) = mult(ld(X0,X0),mult(rd(X1,X2),X2)),
    inference(superposition,[status(thm)],[c_2335,c_1948]) ).

cnf(c_2902,plain,
    mult(X0,ld(X0,mult(X0,X1))) = mult(X0,X1),
    inference(superposition,[status(thm)],[c_81,c_2243]) ).

cnf(c_2903,plain,
    mult(X0,ld(X0,mult(ld(X0,X0),X1))) = mult(ld(X0,X0),X1),
    inference(superposition,[status(thm)],[c_148,c_2243]) ).

cnf(c_2919,plain,
    mult(rd(mult(X0,ld(X0,X1)),X2),X2) = rd(mult(X0,ld(X0,mult(X1,X2))),X2),
    inference(superposition,[status(thm)],[c_2243,c_52]) ).

cnf(c_2931,plain,
    mult(X0,mult(X0,ld(X0,X1))) = mult(X0,X1),
    inference(light_normalisation,[status(thm)],[c_2902,c_51]) ).

cnf(c_2932,plain,
    mult(X0,ld(X0,mult(X0,ld(X0,X1)))) = mult(X0,ld(X0,X1)),
    inference(light_normalisation,[status(thm)],[c_2903,c_2335]) ).

cnf(c_2933,plain,
    mult(ld(X0,X0),mult(rd(X1,X2),X2)) = rd(mult(X0,ld(X0,mult(X1,X2))),X2),
    inference(light_normalisation,[status(thm)],[c_2919,c_2382]) ).

cnf(c_2945,plain,
    mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
    inference(demodulation,[status(thm)],[c_2052,c_2931]) ).

cnf(c_2948,plain,
    mult(X0,ld(X1,X1)) = rd(mult(X0,X1),X1),
    inference(demodulation,[status(thm)],[c_52,c_2945]) ).

cnf(c_2949,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X2,X2)),
    inference(demodulation,[status(thm)],[c_2065,c_2945]) ).

cnf(c_2951,plain,
    mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(X1,ld(X2,X2))),
    inference(demodulation,[status(thm)],[c_1948,c_2945]) ).

cnf(c_3123,plain,
    mult(rd(X0,X1),ld(X1,X1)) = rd(mult(X0,ld(X1,X1)),X1),
    inference(superposition,[status(thm)],[c_2945,c_2948]) ).

cnf(c_3789,plain,
    mult(X0,ld(rd(X1,X2),rd(X1,X2))) = mult(X0,ld(X2,X2)),
    inference(demodulation,[status(thm)],[c_2949,c_2945]) ).

cnf(c_3814,plain,
    mult(rd(X0,X1),ld(X1,X1)) = rd(X0,X1),
    inference(superposition,[status(thm)],[c_3789,c_81]) ).

cnf(c_3958,plain,
    mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(X1,ld(X2,X2))),
    inference(demodulation,[status(thm)],[c_2951,c_2945]) ).

cnf(c_3995,plain,
    mult(X0,mult(ld(X0,X1),ld(X2,X2))) = mult(X0,ld(X0,mult(X1,ld(X2,X2)))),
    inference(superposition,[status(thm)],[c_3958,c_2243]) ).

cnf(c_4126,plain,
    rd(mult(X0,ld(X1,X1)),X1) = rd(X0,X1),
    inference(light_normalisation,[status(thm)],[c_3123,c_3814]) ).

cnf(c_4130,plain,
    rd(mult(X0,ld(X0,mult(X1,ld(X2,X2)))),X2) = rd(mult(X0,ld(X0,X1)),X2),
    inference(superposition,[status(thm)],[c_2243,c_4126]) ).

cnf(c_4150,plain,
    rd(mult(X0,mult(ld(X0,X1),ld(X2,X2))),X2) = rd(mult(X0,ld(X0,X1)),X2),
    inference(light_normalisation,[status(thm)],[c_4130,c_3995]) ).

cnf(c_4766,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_1323]) ).

cnf(c_4782,plain,
    mult(ld(mult(X0,X1),X2),ld(ld(mult(X0,X1),X2),X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_4766,c_2931]) ).

cnf(c_4818,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X2))) = ld(X0,X2),
    inference(superposition,[status(thm)],[c_853,c_4782]) ).

cnf(c_5258,plain,
    mult(X0,ld(X0,ld(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
    inference(superposition,[status(thm)],[c_880,c_4818]) ).

cnf(c_5276,plain,
    mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X1)))) = ld(X0,X1),
    inference(superposition,[status(thm)],[c_4818,c_2335]) ).

cnf(c_5277,plain,
    mult(X0,ld(X0,X1)) = ld(ld(X0,X0),X1),
    inference(light_normalisation,[status(thm)],[c_5258,c_2341]) ).

cnf(c_6007,plain,
    mult(X0,ld(X0,ld(X0,X1))) = ld(X0,X1),
    inference(demodulation,[status(thm)],[c_5276,c_51,c_2931,c_5277]) ).

cnf(c_6021,plain,
    mult(X0,ld(X0,mult(ld(X0,X1),X2))) = mult(ld(X0,X1),X2),
    inference(superposition,[status(thm)],[c_6007,c_2243]) ).

cnf(c_6528,plain,
    mult(mult(X0,X1),ld(mult(X0,X1),X0)) = X0,
    inference(superposition,[status(thm)],[c_4782,c_6021]) ).

cnf(c_6681,plain,
    mult(mult(X0,X1),ld(mult(X0,X1),mult(X0,X2))) = mult(X0,X2),
    inference(superposition,[status(thm)],[c_6528,c_2243]) ).

cnf(c_7130,plain,
    mult(X0,ld(X0,mult(mult(X0,X1),X2))) = mult(mult(X0,X1),X2),
    inference(superposition,[status(thm)],[c_6528,c_6681]) ).

cnf(c_7294,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,mult(ld(X0,X2),ld(X2,X2))),
    inference(demodulation,[status(thm)],[c_2268,c_3995]) ).

cnf(c_7343,plain,
    mult(X0,mult(ld(X0,X1),ld(X1,X1))) = mult(X0,ld(X0,ld(ld(X0,X0),X1))),
    inference(superposition,[status(thm)],[c_7294,c_2335]) ).

cnf(c_7362,plain,
    mult(X0,mult(ld(X0,X1),ld(X1,X1))) = mult(X0,ld(X0,X1)),
    inference(light_normalisation,[status(thm)],[c_7343,c_2932,c_5277]) ).

cnf(c_7371,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
    inference(demodulation,[status(thm)],[c_7294,c_7362]) ).

cnf(c_8240,plain,
    mult(X0,mult(ld(X0,rd(X1,X2)),ld(X2,X2))) = mult(X0,ld(X0,rd(X1,X2))),
    inference(superposition,[status(thm)],[c_3789,c_7362]) ).

cnf(c_8396,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_7371]) ).

cnf(c_10839,plain,
    mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,X2)),
    inference(demodulation,[status(thm)],[c_8396,c_2243]) ).

cnf(c_10914,plain,
    mult(mult(X0,X1),ld(mult(X0,ld(X0,mult(X0,X1))),X2)) = mult(X0,ld(X0,X2)),
    inference(superposition,[status(thm)],[c_10839,c_7130]) ).

cnf(c_10918,plain,
    mult(mult(X0,X1),ld(mult(X0,X1),X2)) = mult(X0,ld(X0,X2)),
    inference(light_normalisation,[status(thm)],[c_10914,c_51,c_2931]) ).

cnf(c_14256,plain,
    mult(X0,mult(ld(X0,X1),ld(X2,X2))) = rd(mult(X0,ld(X0,mult(X1,X2))),X2),
    inference(demodulation,[status(thm)],[c_2933,c_2335,c_2945,c_3995]) ).

cnf(c_14276,plain,
    mult(X0,mult(ld(X0,rd(X1,X2)),ld(X2,X2))) = rd(mult(X0,ld(X0,mult(X1,ld(X2,X2)))),X2),
    inference(superposition,[status(thm)],[c_2945,c_14256]) ).

cnf(c_14326,plain,
    mult(X0,ld(X0,rd(X1,X2))) = rd(mult(X0,ld(X0,X1)),X2),
    inference(light_normalisation,[status(thm)],[c_14276,c_3995,c_4150,c_8240]) ).

cnf(c_14514,plain,
    mult(X0,ld(X0,rd(X0,X1))) = rd(X0,X1),
    inference(superposition,[status(thm)],[c_81,c_14326]) ).

cnf(c_14764,plain,
    mult(rd(X0,X1),ld(rd(X0,X1),X2)) = mult(X0,ld(X0,X2)),
    inference(superposition,[status(thm)],[c_14514,c_10918]) ).

cnf(c_14779,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_83,c_14764]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP682-11 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n006.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 23:54:34 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running UEQ theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.92/2.12  % SZS status Started for theBenchmark.p
% 11.92/2.12  % SZS status Unsatisfiable for theBenchmark.p
% 11.92/2.12  
% 11.92/2.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.92/2.12  
% 11.92/2.12  ------  iProver source info
% 11.92/2.12  
% 11.92/2.12  git: date: 2024-05-02 19:28:25 +0000
% 11.92/2.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 11.92/2.12  git: non_committed_changes: false
% 11.92/2.12  
% 11.92/2.12  ------ Parsing...successful
% 11.92/2.12  
% 11.92/2.12  
% 11.92/2.12  
% 11.92/2.12  ------ Preprocessing... sup_sim: 6  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 11.92/2.12  
% 11.92/2.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 11.92/2.12  
% 11.92/2.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 11.92/2.12  ------ Proving...
% 11.92/2.12  ------ Problem Properties 
% 11.92/2.12  
% 11.92/2.12  
% 11.92/2.12  clauses                                 8
% 11.92/2.12  conjectures                             0
% 11.92/2.12  EPR                                     0
% 11.92/2.12  Horn                                    8
% 11.92/2.12  unary                                   8
% 11.92/2.12  binary                                  0
% 11.92/2.12  lits                                    8
% 11.92/2.12  lits eq                                 8
% 11.92/2.12  fd_pure                                 0
% 11.92/2.12  fd_pseudo                               0
% 11.92/2.12  fd_cond                                 0
% 11.92/2.12  fd_pseudo_cond                          0
% 11.92/2.12  AC symbols                              0
% 11.92/2.12  
% 11.92/2.12  ------ Input Options Time Limit: Unbounded
% 11.92/2.12  
% 11.92/2.12  
% 11.92/2.12  ------ 
% 11.92/2.12  Current options:
% 11.92/2.12  ------ 
% 11.92/2.12  
% 11.92/2.12  
% 11.92/2.12  
% 11.92/2.12  
% 11.92/2.12  ------ Proving...
% 11.92/2.12  
% 11.92/2.12  
% 11.92/2.12  % SZS status Unsatisfiable for theBenchmark.p
% 11.92/2.12  
% 11.92/2.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.92/2.12  
% 11.92/2.13  
%------------------------------------------------------------------------------