TSTP Solution File: GRP604-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP604-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 02:23:03 EDT 2024

% Result   : Unsatisfiable 3.53s 1.14s
% Output   : CNFRefutation 3.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   28 (  28 unt;   0 nHn;   3 RR)
%            Number of literals    :   28 (  27 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   70 (   0 sgn)

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

cnf(c_50,plain,
    inverse(double_divide(X0,X1)) = multiply(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).

cnf(c_60,plain,
    multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
    inference(demodulation,[status(thm)],[c_49,c_50]) ).

cnf(c_97,plain,
    multiply(multiply(double_divide(X0,double_divide(X1,X2)),X3),X0) = multiply(X2,multiply(X3,X1)),
    inference(superposition,[status(thm)],[c_60,c_60]) ).

cnf(c_101,plain,
    multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
    inference(superposition,[status(thm)],[c_97,c_60]) ).

cnf(c_106,plain,
    multiply(double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X3),multiply(X3,X2)) = X1,
    inference(superposition,[status(thm)],[c_60,c_101]) ).

cnf(c_110,plain,
    multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
    inference(superposition,[status(thm)],[c_101,c_101]) ).

cnf(c_189,plain,
    double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X1)) = X2,
    inference(superposition,[status(thm)],[c_110,c_106]) ).

cnf(c_213,plain,
    double_divide(multiply(X0,X1),double_divide(X1,multiply(X2,X0))) = X2,
    inference(superposition,[status(thm)],[c_110,c_189]) ).

cnf(c_261,plain,
    multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
    inference(superposition,[status(thm)],[c_213,c_50]) ).

cnf(c_356,plain,
    multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
    inference(superposition,[status(thm)],[c_261,c_101]) ).

cnf(c_524,plain,
    double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
    inference(superposition,[status(thm)],[c_356,c_189]) ).

cnf(c_581,plain,
    double_divide(X0,multiply(double_divide(X0,X1),inverse(X2))) = multiply(X2,X1),
    inference(superposition,[status(thm)],[c_524,c_189]) ).

cnf(c_615,plain,
    multiply(X0,double_divide(X1,multiply(X0,X2))) = double_divide(X1,X2),
    inference(superposition,[status(thm)],[c_356,c_581]) ).

cnf(c_650,plain,
    multiply(double_divide(multiply(X0,X1),X2),X2) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_189,c_615]) ).

cnf(c_1015,plain,
    double_divide(multiply(X0,X1),double_divide(X1,multiply(X2,X0))) = multiply(double_divide(inverse(X2),X3),X3),
    inference(superposition,[status(thm)],[c_261,c_650]) ).

cnf(c_1046,plain,
    double_divide(X0,double_divide(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_650,c_189]) ).

cnf(c_1049,plain,
    inverse(multiply(X0,X1)) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_650,c_261]) ).

cnf(c_1051,plain,
    multiply(double_divide(inverse(X0),X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_1015,c_213]) ).

cnf(c_1249,plain,
    multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(inverse(X2),X0),
    inference(superposition,[status(thm)],[c_1051,c_101]) ).

cnf(c_1258,plain,
    double_divide(inverse(multiply(X0,X1)),X1) = X0,
    inference(demodulation,[status(thm)],[c_101,c_1249]) ).

cnf(c_1259,plain,
    double_divide(double_divide(X0,X1),X0) = X1,
    inference(light_normalisation,[status(thm)],[c_1258,c_1049]) ).

cnf(c_1279,plain,
    double_divide(X0,X1) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_1046,c_1259]) ).

cnf(c_1300,plain,
    inverse(double_divide(X0,X1)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_1279,c_50]) ).

cnf(c_1336,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_1300,c_50]) ).

cnf(c_1339,plain,
    multiply(a,b) != multiply(a,b),
    inference(demodulation,[status(thm)],[c_51,c_1336]) ).

cnf(c_1340,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1339]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP604-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May  3 00:14:46 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running UEQ theorem proving
% 0.19/0.47  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
% 3.53/1.14  % SZS status Started for theBenchmark.p
% 3.53/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.14  
% 3.53/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.53/1.14  
% 3.53/1.14  ------  iProver source info
% 3.53/1.14  
% 3.53/1.14  git: date: 2024-05-02 19:28:25 +0000
% 3.53/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.53/1.14  git: non_committed_changes: false
% 3.53/1.14  
% 3.53/1.14  ------ Parsing...successful
% 3.53/1.14  
% 3.53/1.14  
% 3.53/1.14  
% 3.53/1.14  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.53/1.14  
% 3.53/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.53/1.14  
% 3.53/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.53/1.14  ------ Proving...
% 3.53/1.14  ------ Problem Properties 
% 3.53/1.14  
% 3.53/1.14  
% 3.53/1.14  clauses                                 3
% 3.53/1.14  conjectures                             1
% 3.53/1.14  EPR                                     0
% 3.53/1.14  Horn                                    3
% 3.53/1.14  unary                                   3
% 3.53/1.14  binary                                  0
% 3.53/1.14  lits                                    3
% 3.53/1.14  lits eq                                 3
% 3.53/1.14  fd_pure                                 0
% 3.53/1.14  fd_pseudo                               0
% 3.53/1.14  fd_cond                                 0
% 3.53/1.14  fd_pseudo_cond                          0
% 3.53/1.14  AC symbols                              0
% 3.53/1.14  
% 3.53/1.14  ------ Input Options Time Limit: Unbounded
% 3.53/1.14  
% 3.53/1.14  
% 3.53/1.14  ------ 
% 3.53/1.14  Current options:
% 3.53/1.14  ------ 
% 3.53/1.14  
% 3.53/1.14  
% 3.53/1.14  
% 3.53/1.14  
% 3.53/1.14  ------ Proving...
% 3.53/1.14  
% 3.53/1.14  
% 3.53/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.14  
% 3.53/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.53/1.14  
% 3.53/1.14  
%------------------------------------------------------------------------------