TSTP Solution File: GRP613-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP613-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : Thu Aug 31 01:00:43 EDT 2023

% Result   : Unsatisfiable 0.45s 1.14s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   43 (  43 unt;   0 nHn;   5 RR)
%            Number of literals    :   43 (  42 equ;   4 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   :   92 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,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(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).

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

cnf(c_108,plain,
    multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0))) = inverse(X2),
    inference(superposition,[status(thm)],[c_60,c_50]) ).

cnf(c_109,plain,
    double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3) = X2,
    inference(superposition,[status(thm)],[c_60,c_60]) ).

cnf(c_113,plain,
    multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1))))) = inverse(X3),
    inference(superposition,[status(thm)],[c_60,c_108]) ).

cnf(c_116,plain,
    double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))) = X2,
    inference(superposition,[status(thm)],[c_108,c_60]) ).

cnf(c_259,plain,
    double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3) = X1,
    inference(superposition,[status(thm)],[c_113,c_109]) ).

cnf(c_446,plain,
    double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_60,c_259]) ).

cnf(c_508,plain,
    double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1)) = X0,
    inference(superposition,[status(thm)],[c_50,c_446]) ).

cnf(c_513,plain,
    multiply(X0,multiply(inverse(X1),inverse(X0))) = inverse(X1),
    inference(superposition,[status(thm)],[c_446,c_50]) ).

cnf(c_548,plain,
    double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
    inference(superposition,[status(thm)],[c_513,c_60]) ).

cnf(c_554,plain,
    multiply(double_divide(inverse(X0),X0),inverse(X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_513,c_108]) ).

cnf(c_599,plain,
    double_divide(multiply(X0,X1),double_divide(inverse(X2),X2)) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_50,c_548]) ).

cnf(c_673,plain,
    double_divide(inverse(X0),double_divide(inverse(inverse(X1)),inverse(X0))) = X1,
    inference(superposition,[status(thm)],[c_513,c_508]) ).

cnf(c_885,plain,
    double_divide(multiply(X0,inverse(X0)),inverse(X1)) = X1,
    inference(superposition,[status(thm)],[c_599,c_508]) ).

cnf(c_917,plain,
    double_divide(multiply(double_divide(X0,X1),multiply(X1,X0)),inverse(X2)) = X2,
    inference(superposition,[status(thm)],[c_50,c_885]) ).

cnf(c_923,plain,
    multiply(inverse(X0),multiply(X1,inverse(X1))) = inverse(X0),
    inference(superposition,[status(thm)],[c_885,c_50]) ).

cnf(c_952,plain,
    multiply(inverse(X0),multiply(double_divide(X1,X2),multiply(X2,X1))) = inverse(X0),
    inference(superposition,[status(thm)],[c_50,c_923]) ).

cnf(c_1154,plain,
    double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(double_divide(X1,X2),multiply(X2,X1))),X3)) = X3,
    inference(superposition,[status(thm)],[c_917,c_116]) ).

cnf(c_1162,plain,
    double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
    inference(light_normalisation,[status(thm)],[c_1154,c_952]) ).

cnf(c_1222,plain,
    inverse(inverse(X0)) = X0,
    inference(superposition,[status(thm)],[c_1162,c_673]) ).

cnf(c_1242,plain,
    inverse(multiply(X0,X1)) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_50,c_1222]) ).

cnf(c_1245,plain,
    multiply(double_divide(inverse(X0),X0),X1) = X1,
    inference(superposition,[status(thm)],[c_1222,c_554]) ).

cnf(c_1247,plain,
    multiply(X0,multiply(X1,inverse(X0))) = X1,
    inference(superposition,[status(thm)],[c_1222,c_513]) ).

cnf(c_1250,plain,
    double_divide(X0,double_divide(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_1222,c_1162]) ).

cnf(c_1315,plain,
    multiply(double_divide(X0,X1),X0) = inverse(X1),
    inference(superposition,[status(thm)],[c_1250,c_50]) ).

cnf(c_1343,plain,
    double_divide(inverse(X0),X0) = multiply(X1,inverse(X1)),
    inference(superposition,[status(thm)],[c_1245,c_1247]) ).

cnf(c_1344,plain,
    double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_1315,c_1247]) ).

cnf(c_1347,plain,
    multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_1222,c_1247]) ).

cnf(c_1354,plain,
    multiply(X0,double_divide(inverse(X1),X0)) = X1,
    inference(demodulation,[status(thm)],[c_1247,c_1344]) ).

cnf(c_1405,plain,
    multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
    inference(superposition,[status(thm)],[c_1347,c_1347]) ).

cnf(c_1407,plain,
    multiply(double_divide(X0,X1),X1) = inverse(X0),
    inference(light_normalisation,[status(thm)],[c_1405,c_1242]) ).

cnf(c_1421,plain,
    multiply(X0,double_divide(X1,X0)) = inverse(X1),
    inference(superposition,[status(thm)],[c_1222,c_1354]) ).

cnf(c_1593,plain,
    double_divide(double_divide(X0,X1),X1) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_1421,c_1242]) ).

cnf(c_1601,plain,
    double_divide(double_divide(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_1593,c_1222]) ).

cnf(c_1610,plain,
    inverse(double_divide(X0,X1)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_1601,c_1407]) ).

cnf(c_1843,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_1610,c_50]) ).

cnf(c_1850,plain,
    multiply(inverse(b1),b1) != multiply(a1,inverse(a1)),
    inference(demodulation,[status(thm)],[c_51,c_1843]) ).

cnf(c_1905,plain,
    multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
    inference(superposition,[status(thm)],[c_1843,c_1850]) ).

cnf(c_2671,plain,
    double_divide(inverse(X0),X0) != multiply(a1,inverse(a1)),
    inference(superposition,[status(thm)],[c_1343,c_1905]) ).

cnf(c_2672,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2671,c_1343]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GRP613-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.11  % 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 : Mon Aug 28 20:39:13 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.18/0.45  Running UEQ theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.45/1.14  % SZS status Started for theBenchmark.p
% 0.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14  
% 0.45/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.45/1.14  
% 0.45/1.14  ------  iProver source info
% 0.45/1.14  
% 0.45/1.14  git: date: 2023-05-31 18:12:56 +0000
% 0.45/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.45/1.14  git: non_committed_changes: false
% 0.45/1.14  git: last_make_outside_of_git: false
% 0.45/1.14  
% 0.45/1.14  ------ Parsing...successful
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.45/1.14  ------ Proving...
% 0.45/1.14  ------ Problem Properties 
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  clauses                                 3
% 0.45/1.14  conjectures                             1
% 0.45/1.14  EPR                                     0
% 0.45/1.14  Horn                                    3
% 0.45/1.14  unary                                   3
% 0.45/1.14  binary                                  0
% 0.45/1.14  lits                                    3
% 0.45/1.14  lits eq                                 3
% 0.45/1.14  fd_pure                                 0
% 0.45/1.14  fd_pseudo                               0
% 0.45/1.14  fd_cond                                 0
% 0.45/1.14  fd_pseudo_cond                          0
% 0.45/1.14  AC symbols                              0
% 0.45/1.14  
% 0.45/1.14  ------ Input Options Time Limit: Unbounded
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ 
% 0.45/1.14  Current options:
% 0.45/1.14  ------ 
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ Proving...
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14  
% 0.45/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.15  
% 0.45/1.15  
%------------------------------------------------------------------------------