TSTP Solution File: GRP134-1.003 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP134-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 02:21:26 EDT 2024

% Result   : Unsatisfiable 2.45s 1.14s
% Output   : CNFRefutation 2.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :  101 (   7 unt;  27 nHn; 101 RR)
%            Number of literals    :  315 (   0 equ; 192 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   93 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).

cnf(c_50,plain,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

cnf(c_51,plain,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

cnf(c_52,plain,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

cnf(c_53,plain,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

cnf(c_55,plain,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

cnf(c_58,plain,
    ( ~ group_element(X0)
    | ~ group_element(X1)
    | product(X0,X1,e_1)
    | product(X0,X1,e_2)
    | product(X0,X1,e_3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).

cnf(c_59,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X1,X3)
    | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).

cnf(c_60,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X3,X2)
    | equalish(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).

cnf(c_61,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X3,X1,X2)
    | equalish(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).

cnf(c_62,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X0,X3)
    | product(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).

cnf(c_117,plain,
    ( ~ product(X0,X1,e_1)
    | ~ product(X0,X1,e_2) ),
    inference(resolution,[status(thm)],[c_52,c_59]) ).

cnf(c_125,plain,
    ( ~ product(X0,e_1,X1)
    | ~ product(X0,e_2,X1) ),
    inference(resolution,[status(thm)],[c_52,c_60]) ).

cnf(c_126,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_125]) ).

cnf(c_133,plain,
    ( ~ product(e_1,X0,X1)
    | ~ product(e_2,X0,X1) ),
    inference(resolution,[status(thm)],[c_52,c_61]) ).

cnf(c_134,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_2,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_141,plain,
    ( ~ product(X0,X1,e_1)
    | ~ product(X0,X1,e_3) ),
    inference(resolution,[status(thm)],[c_53,c_59]) ).

cnf(c_149,plain,
    ( ~ product(X0,e_1,X1)
    | ~ product(X0,e_3,X1) ),
    inference(resolution,[status(thm)],[c_53,c_60]) ).

cnf(c_150,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_149]) ).

cnf(c_157,plain,
    ( ~ product(e_1,X0,X1)
    | ~ product(e_3,X0,X1) ),
    inference(resolution,[status(thm)],[c_53,c_61]) ).

cnf(c_158,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_3,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_157]) ).

cnf(c_176,plain,
    ( ~ product(X0,e_2,X1)
    | ~ product(X0,e_3,X1) ),
    inference(resolution,[status(thm)],[c_55,c_60]) ).

cnf(c_177,plain,
    ( ~ product(e_1,e_2,e_1)
    | ~ product(e_1,e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_176]) ).

cnf(c_216,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X0,X3)
    | product(X2,X3,X1) ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_219,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X0,e_2)
    | product(X2,e_2,X1) ),
    inference(instantiation,[status(thm)],[c_216]) ).

cnf(c_220,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X0,e_2)
    | product(e_2,X2,X0) ),
    inference(instantiation,[status(thm)],[c_216]) ).

cnf(c_221,plain,
    ( ~ product(X0,e_3,X1)
    | ~ product(e_3,X0,X2)
    | product(X1,X2,e_3) ),
    inference(instantiation,[status(thm)],[c_216]) ).

cnf(c_223,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X0,e_3)
    | product(X2,e_3,X1) ),
    inference(instantiation,[status(thm)],[c_216]) ).

cnf(c_224,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X0,e_3)
    | product(e_3,X2,X0) ),
    inference(instantiation,[status(thm)],[c_216]) ).

cnf(c_228,plain,
    ( ~ group_element(X0)
    | ~ group_element(e_2)
    | product(X0,e_2,e_1)
    | product(X0,e_2,e_2)
    | product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_230,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_228]) ).

cnf(c_231,plain,
    ( ~ group_element(X0)
    | ~ group_element(e_2)
    | product(e_2,X0,e_1)
    | product(e_2,X0,e_2)
    | product(e_2,X0,e_3) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_233,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_231]) ).

cnf(c_234,plain,
    ( ~ group_element(X0)
    | ~ group_element(e_3)
    | product(X0,e_3,e_1)
    | product(X0,e_3,e_2)
    | product(X0,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_236,plain,
    ( ~ product(X0,e_1,e_1)
    | ~ product(X0,e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_149]) ).

cnf(c_237,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_234]) ).

cnf(c_238,plain,
    ( ~ group_element(X0)
    | ~ group_element(e_3)
    | product(e_3,X0,e_1)
    | product(e_3,X0,e_2)
    | product(e_3,X0,e_3) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_241,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_3)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_238]) ).

cnf(c_243,plain,
    ( ~ product(X0,e_3,X1)
    | ~ product(e_3,X0,e_2)
    | product(X1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_221]) ).

cnf(c_244,plain,
    ( ~ product(X0,e_1,e_3)
    | ~ product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_125]) ).

cnf(c_245,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ product(e_3,e_1,e_2)
    | product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_243]) ).

cnf(c_246,plain,
    ( ~ product(e_1,e_1,e_3)
    | ~ product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_244]) ).

cnf(c_252,plain,
    ( ~ product(X0,X1,e_3)
    | ~ product(X1,X0,e_3)
    | product(e_3,e_3,X1) ),
    inference(instantiation,[status(thm)],[c_223]) ).

cnf(c_261,plain,
    ( ~ product(X0,e_1,e_3)
    | ~ product(X0,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_149]) ).

cnf(c_263,plain,
    ( ~ product(e_1,e_1,e_3)
    | ~ product(e_1,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_261]) ).

cnf(c_265,plain,
    ( ~ product(e_1,X0,e_3)
    | ~ product(e_3,X0,e_3) ),
    inference(instantiation,[status(thm)],[c_157]) ).

cnf(c_267,plain,
    ( ~ product(e_1,e_1,e_3)
    | ~ product(e_3,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_265]) ).

cnf(c_278,plain,
    ( ~ product(X0,e_2,e_2)
    | ~ product(e_2,X0,e_3)
    | product(e_2,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_223]) ).

cnf(c_286,plain,
    ( ~ product(X0,e_2,e_2)
    | ~ product(X0,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_176]) ).

cnf(c_287,plain,
    ( ~ product(X0,e_1,e_2)
    | ~ product(X0,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_125]) ).

cnf(c_288,plain,
    ( ~ product(e_1,e_1,e_2)
    | ~ product(e_1,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_287]) ).

cnf(c_289,plain,
    ( ~ product(e_1,e_2,e_2)
    | ~ product(e_1,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_286]) ).

cnf(c_301,plain,
    ( ~ product(X0,e_2,e_3)
    | ~ product(e_2,X0,e_2)
    | product(e_2,e_3,X0) ),
    inference(instantiation,[status(thm)],[c_223]) ).

cnf(c_302,plain,
    ( ~ product(e_1,e_2,e_3)
    | ~ product(e_2,e_1,e_2)
    | product(e_2,e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

cnf(c_311,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ product(e_2,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_149]) ).

cnf(c_313,plain,
    ( ~ product(e_1,X0,e_2)
    | ~ product(e_2,X0,e_2) ),
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_314,plain,
    ( ~ product(e_1,e_1,e_2)
    | ~ product(e_2,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_313]) ).

cnf(c_322,plain,
    ( ~ product(X0,e_3,e_2)
    | ~ product(e_3,X0,e_3)
    | product(e_2,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_223]) ).

cnf(c_323,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_3,e_1,e_3)
    | product(e_2,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_322]) ).

cnf(c_330,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_3,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_157]) ).

cnf(c_333,plain,
    ( ~ product(X0,e_3,e_2)
    | ~ product(e_3,X0,e_2)
    | product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_219]) ).

cnf(c_334,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_3,e_1,e_2)
    | product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_333]) ).

cnf(c_422,plain,
    ( ~ product(X0,X1,X2)
    | ~ group_element(X0)
    | ~ group_element(X1)
    | product(X1,X0,e_1)
    | product(X1,X0,e_2)
    | product(e_3,X2,X0) ),
    inference(superposition,[status(thm)],[c_58,c_216]) ).

cnf(c_502,plain,
    ( ~ group_element(e_3)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_238]) ).

cnf(c_503,plain,
    ( ~ product(e_3,e_3,X0)
    | ~ product(e_3,e_3,e_1)
    | product(e_1,X0,e_3) ),
    inference(instantiation,[status(thm)],[c_221]) ).

cnf(c_504,plain,
    ( ~ product(e_3,e_3,e_1)
    | product(e_1,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_503]) ).

cnf(c_506,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_3,e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_236]) ).

cnf(c_510,plain,
    ( ~ product(X0,X1,e_2)
    | ~ product(X1,X0,e_2)
    | product(e_2,e_2,X0) ),
    inference(instantiation,[status(thm)],[c_220]) ).

cnf(c_511,plain,
    ( ~ product(X0,X1,e_2)
    | ~ product(X1,X0,e_2)
    | product(e_2,e_2,X1) ),
    inference(instantiation,[status(thm)],[c_219]) ).

cnf(c_514,plain,
    ( ~ product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_511]) ).

cnf(c_576,plain,
    ( ~ product(e_3,e_3,e_2)
    | product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_333]) ).

cnf(c_594,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_244]) ).

cnf(c_611,plain,
    ( ~ product(X0,e_3,e_3)
    | ~ group_element(X0)
    | ~ group_element(e_2)
    | product(X0,e_2,e_1)
    | product(X0,e_2,e_2) ),
    inference(superposition,[status(thm)],[c_58,c_176]) ).

cnf(c_612,plain,
    ( ~ product(X0,e_3,e_3)
    | ~ group_element(X0)
    | product(X0,e_2,e_1)
    | product(X0,e_2,e_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_611,c_50]) ).

cnf(c_617,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ group_element(e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_612]) ).

cnf(c_645,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_2,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_676,plain,
    ( ~ product(X0,e_1,e_2)
    | ~ product(X0,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_149]) ).

cnf(c_677,plain,
    ( ~ product(e_1,e_1,e_2)
    | ~ product(e_1,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_676]) ).

cnf(c_679,plain,
    ( ~ product(e_1,X0,e_2)
    | ~ product(e_3,X0,e_2) ),
    inference(instantiation,[status(thm)],[c_157]) ).

cnf(c_680,plain,
    ( ~ product(e_1,e_1,e_2)
    | ~ product(e_3,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_679]) ).

cnf(c_697,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ product(e_3,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_265]) ).

cnf(c_744,plain,
    ( ~ product(e_2,e_2,e_1)
    | ~ product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_748,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_2,e_3)
    | product(e_2,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_278]) ).

cnf(c_828,plain,
    ( ~ product(e_2,e_2,e_3)
    | product(e_3,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_252]) ).

cnf(c_859,plain,
    ( ~ product(X0,e_2,e_2)
    | ~ product(e_2,X0,e_2)
    | product(e_2,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_510]) ).

cnf(c_864,plain,
    ( ~ product(e_1,e_2,e_2)
    | ~ product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_859]) ).

cnf(c_927,plain,
    ( ~ group_element(X0)
    | ~ group_element(X1)
    | product(X0,X1,e_1)
    | product(X0,X1,e_2)
    | product(X1,X0,e_1)
    | product(X1,X0,e_2)
    | product(e_3,e_3,X0) ),
    inference(superposition,[status(thm)],[c_58,c_422]) ).

cnf(c_960,plain,
    ( ~ product(e_1,e_2,e_3)
    | ~ product(e_2,e_1,e_1)
    | product(e_3,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_224]) ).

cnf(c_982,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ group_element(X0)
    | ~ group_element(e_1)
    | product(X0,e_1,e_1)
    | product(X0,e_1,e_2)
    | product(e_1,X0,e_1)
    | product(e_1,X0,e_2) ),
    inference(superposition,[status(thm)],[c_927,c_141]) ).

cnf(c_983,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ group_element(X0)
    | ~ group_element(e_1)
    | product(X0,e_1,e_1)
    | product(X0,e_1,e_2)
    | product(e_1,X0,e_1)
    | product(e_1,X0,e_2) ),
    inference(superposition,[status(thm)],[c_927,c_117]) ).

cnf(c_991,plain,
    ( ~ product(X0,e_3,e_2)
    | ~ group_element(X0)
    | ~ group_element(e_2)
    | product(X0,e_2,e_1)
    | product(e_2,X0,e_1)
    | product(e_2,X0,e_2)
    | product(e_3,e_3,e_2) ),
    inference(superposition,[status(thm)],[c_927,c_176]) ).

cnf(c_992,plain,
    ( ~ product(X0,e_1,e_2)
    | ~ group_element(X0)
    | ~ group_element(e_2)
    | product(X0,e_2,e_1)
    | product(e_2,X0,e_1)
    | product(e_2,X0,e_2)
    | product(e_3,e_3,e_2) ),
    inference(superposition,[status(thm)],[c_927,c_125]) ).

cnf(c_1103,plain,
    ( ~ product(X0,e_1,e_2)
    | ~ group_element(X0)
    | product(X0,e_2,e_1)
    | product(e_2,X0,e_1)
    | product(e_2,X0,e_2)
    | product(e_3,e_3,e_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_992,c_50]) ).

cnf(c_1110,plain,
    ( ~ product(X0,e_3,e_2)
    | ~ group_element(X0)
    | product(X0,e_2,e_1)
    | product(e_2,X0,e_1)
    | product(e_2,X0,e_2)
    | product(e_3,e_3,e_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_991,c_50]) ).

cnf(c_1131,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ group_element(X0)
    | product(X0,e_1,e_1)
    | product(X0,e_1,e_2)
    | product(e_1,X0,e_1)
    | product(e_1,X0,e_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_983,c_49]) ).

cnf(c_1138,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ group_element(X0)
    | product(X0,e_1,e_1)
    | product(X0,e_1,e_2)
    | product(e_1,X0,e_1)
    | product(e_1,X0,e_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_982,c_49]) ).

cnf(c_1187,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ group_element(e_1)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_1138]) ).

cnf(c_1188,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ group_element(e_1)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_1131]) ).

cnf(c_1190,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ group_element(e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_1110]) ).

cnf(c_1191,plain,
    ( ~ product(e_1,e_1,e_2)
    | ~ group_element(e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_1103]) ).

cnf(c_1421,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1191,c_1190,c_1188,c_1187,c_960,c_864,c_828,c_748,c_744,c_697,c_680,c_677,c_645,c_617,c_594,c_576,c_514,c_506,c_504,c_502,c_334,c_330,c_323,c_314,c_311,c_302,c_289,c_288,c_267,c_263,c_246,c_245,c_241,c_237,c_233,c_230,c_177,c_158,c_150,c_134,c_126,c_49,c_50,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP134-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:45:58 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.45/1.14  % SZS status Started for theBenchmark.p
% 2.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.45/1.14  
% 2.45/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.45/1.14  
% 2.45/1.14  ------  iProver source info
% 2.45/1.14  
% 2.45/1.14  git: date: 2024-05-02 19:28:25 +0000
% 2.45/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.45/1.14  git: non_committed_changes: false
% 2.45/1.14  
% 2.45/1.14  ------ Parsing...successful
% 2.45/1.14  
% 2.45/1.14  ------  preprocesses with Option_epr_non_horn_non_eq
% 2.45/1.14  
% 2.45/1.14  
% 2.45/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e 
% 2.45/1.14  
% 2.45/1.14  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 2.45/1.14   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.45/1.14  ------ Proving...
% 2.45/1.14  ------ Problem Properties 
% 2.45/1.14  
% 2.45/1.14  
% 2.45/1.14  clauses                                 14
% 2.45/1.14  conjectures                             1
% 2.45/1.14  EPR                                     14
% 2.45/1.14  Horn                                    13
% 2.45/1.14  unary                                   3
% 2.45/1.14  binary                                  9
% 2.45/1.14  lits                                    29
% 2.45/1.14  lits eq                                 0
% 2.45/1.14  fd_pure                                 0
% 2.45/1.14  fd_pseudo                               0
% 2.45/1.14  fd_cond                                 0
% 2.45/1.14  fd_pseudo_cond                          0
% 2.45/1.14  AC symbols                              0
% 2.45/1.14  
% 2.45/1.14  ------ Schedule EPR non Horn non eq is on
% 2.45/1.14  
% 2.45/1.14  ------ no equalities: superposition off 
% 2.45/1.14  
% 2.45/1.14  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.45/1.14  
% 2.45/1.14  
% 2.45/1.14  ------ 
% 2.45/1.14  Current options:
% 2.45/1.14  ------ 
% 2.45/1.14  
% 2.45/1.14  
% 2.45/1.14  
% 2.45/1.14  
% 2.45/1.14  ------ Proving...
% 2.45/1.14  
% 2.45/1.14  
% 2.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.45/1.14  
% 2.45/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.45/1.14  
% 2.45/1.15  
%------------------------------------------------------------------------------