TSTP Solution File: GRP116-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP116-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 02:21:01 EDT 2024

% Result   : Unsatisfiable 3.67s 1.19s
% Output   : CNFRefutation 3.67s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,negated_conjecture,
    multiply(identity,a) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).

cnf(c_59,plain,
    multiply(identity,a) = sP0_iProver_def,
    definition ).

cnf(c_60,negated_conjecture,
    sP0_iProver_def != a,
    inference(demodulation,[status(thm)],[c_50,c_59]) ).

cnf(c_89,plain,
    multiply(identity,multiply(multiply(identity,multiply(sP0_iProver_def,X0)),multiply(identity,multiply(X0,X0)))) = a,
    inference(superposition,[status(thm)],[c_59,c_49]) ).

cnf(c_94,plain,
    multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_101,plain,
    multiply(identity,multiply(multiply(identity,multiply(sP0_iProver_def,multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0))))),X0)) = a,
    inference(superposition,[status(thm)],[c_49,c_89]) ).

cnf(c_105,plain,
    multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(sP0_iProver_def,sP0_iProver_def)))),a)) = X1,
    inference(superposition,[status(thm)],[c_89,c_49]) ).

cnf(c_120,plain,
    multiply(identity,multiply(a,a)) = multiply(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_89,c_105]) ).

cnf(c_121,plain,
    multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2))) = multiply(X0,multiply(multiply(X0,multiply(X1,multiply(identity,multiply(sP0_iProver_def,sP0_iProver_def)))),a)),
    inference(superposition,[status(thm)],[c_49,c_105]) ).

cnf(c_129,plain,
    multiply(multiply(X0,X1),multiply(identity,multiply(sP0_iProver_def,sP0_iProver_def))) = multiply(X0,multiply(X1,multiply(identity,multiply(a,a)))),
    inference(superposition,[status(thm)],[c_105,c_49]) ).

cnf(c_131,plain,
    multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,multiply(identity,multiply(sP0_iProver_def,sP0_iProver_def)))),a))) = X1,
    inference(demodulation,[status(thm)],[c_49,c_121]) ).

cnf(c_430,plain,
    multiply(multiply(X0,X1),multiply(identity,multiply(sP0_iProver_def,sP0_iProver_def))) = multiply(X0,multiply(X1,multiply(sP0_iProver_def,sP0_iProver_def))),
    inference(light_normalisation,[status(thm)],[c_129,c_120]) ).

cnf(c_443,plain,
    multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,multiply(X2,multiply(sP0_iProver_def,sP0_iProver_def)))),a))) = multiply(X1,X2),
    inference(superposition,[status(thm)],[c_430,c_131]) ).

cnf(c_444,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_131,c_443]) ).

cnf(c_483,plain,
    multiply(identity,multiply(multiply(identity,multiply(sP0_iProver_def,identity)),identity)) = a,
    inference(superposition,[status(thm)],[c_444,c_101]) ).

cnf(c_500,plain,
    multiply(identity,multiply(identity,sP0_iProver_def)) = a,
    inference(demodulation,[status(thm)],[c_483,c_444]) ).

cnf(c_503,plain,
    multiply(identity,multiply(multiply(identity,multiply(sP0_iProver_def,multiply(identity,multiply(a,a)))),multiply(identity,sP0_iProver_def))) = a,
    inference(superposition,[status(thm)],[c_500,c_101]) ).

cnf(c_504,plain,
    multiply(identity,multiply(multiply(identity,multiply(sP0_iProver_def,multiply(sP0_iProver_def,sP0_iProver_def))),multiply(identity,sP0_iProver_def))) = a,
    inference(light_normalisation,[status(thm)],[c_503,c_120]) ).

cnf(c_1218,plain,
    multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
    inference(superposition,[status(thm)],[c_444,c_94]) ).

cnf(c_1716,plain,
    multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
    inference(demodulation,[status(thm)],[c_1218,c_444]) ).

cnf(c_1732,plain,
    multiply(X0,multiply(X0,X0)) = identity,
    inference(superposition,[status(thm)],[c_444,c_1716]) ).

cnf(c_1761,plain,
    multiply(identity,multiply(multiply(identity,identity),multiply(identity,sP0_iProver_def))) = a,
    inference(demodulation,[status(thm)],[c_504,c_1732]) ).

cnf(c_1965,plain,
    a = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_1761,c_59,c_444,c_500]) ).

cnf(c_1978,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_60,c_1965]) ).

cnf(c_1979,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1978]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP116-1 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 23:48:20 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  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
% 3.67/1.19  % SZS status Started for theBenchmark.p
% 3.67/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.19  
% 3.67/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.67/1.19  
% 3.67/1.19  ------  iProver source info
% 3.67/1.19  
% 3.67/1.19  git: date: 2024-05-02 19:28:25 +0000
% 3.67/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.67/1.19  git: non_committed_changes: false
% 3.67/1.19  
% 3.67/1.19  ------ Parsing...successful
% 3.67/1.19  
% 3.67/1.19  
% 3.67/1.19  
% 3.67/1.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.67/1.19  
% 3.67/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.67/1.19  
% 3.67/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.67/1.19  ------ Proving...
% 3.67/1.19  ------ Problem Properties 
% 3.67/1.19  
% 3.67/1.19  
% 3.67/1.19  clauses                                 3
% 3.67/1.19  conjectures                             1
% 3.67/1.19  EPR                                     1
% 3.67/1.19  Horn                                    3
% 3.67/1.19  unary                                   3
% 3.67/1.19  binary                                  0
% 3.67/1.19  lits                                    3
% 3.67/1.19  lits eq                                 3
% 3.67/1.19  fd_pure                                 0
% 3.67/1.19  fd_pseudo                               0
% 3.67/1.19  fd_cond                                 0
% 3.67/1.19  fd_pseudo_cond                          0
% 3.67/1.19  AC symbols                              0
% 3.67/1.19  
% 3.67/1.19  ------ Input Options Time Limit: Unbounded
% 3.67/1.19  
% 3.67/1.19  
% 3.67/1.19  ------ 
% 3.67/1.19  Current options:
% 3.67/1.19  ------ 
% 3.67/1.19  
% 3.67/1.19  
% 3.67/1.19  
% 3.67/1.19  
% 3.67/1.19  ------ Proving...
% 3.67/1.19  
% 3.67/1.19  
% 3.67/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.19  
% 3.67/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.67/1.19  
% 3.67/1.19  
%------------------------------------------------------------------------------