TSTP Solution File: GRP523-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP523-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 : Mon Jun 24 07:00:42 EDT 2024

% Result   : Unsatisfiable 2.35s 1.18s
% Output   : CNFRefutation 2.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   37 (  37 unt;   0 nHn;   4 RR)
%            Number of literals    :   37 (  36 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   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   :   74 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,plain,
    divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,plain,
    divide(divide(X0,X0),X1) = inverse(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

cnf(c_52,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

cnf(c_64,plain,
    divide(X0,inverse(X1)) = multiply(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_51]) ).

cnf(c_105,plain,
    divide(inverse(divide(X0,X0)),X1) = inverse(X1),
    inference(superposition,[status(thm)],[c_51,c_51]) ).

cnf(c_110,plain,
    multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
    inference(superposition,[status(thm)],[c_64,c_51]) ).

cnf(c_119,plain,
    multiply(inverse(divide(X0,X0)),X1) = inverse(inverse(X1)),
    inference(superposition,[status(thm)],[c_105,c_64]) ).

cnf(c_206,plain,
    divide(X0,divide(divide(X1,divide(X2,X0)),X1)) = X2,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_290,plain,
    divide(X0,inverse(divide(X1,X0))) = X1,
    inference(superposition,[status(thm)],[c_51,c_206]) ).

cnf(c_307,plain,
    divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
    inference(superposition,[status(thm)],[c_206,c_49]) ).

cnf(c_403,plain,
    multiply(X0,divide(X1,X0)) = X1,
    inference(demodulation,[status(thm)],[c_290,c_64]) ).

cnf(c_408,plain,
    multiply(X0,inverse(X0)) = divide(X1,X1),
    inference(superposition,[status(thm)],[c_51,c_403]) ).

cnf(c_409,plain,
    multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_64,c_403]) ).

cnf(c_476,plain,
    divide(X0,X0) = divide(X1,X1),
    inference(superposition,[status(thm)],[c_408,c_408]) ).

cnf(c_634,plain,
    multiply(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_476,c_403]) ).

cnf(c_712,plain,
    inverse(inverse(multiply(X0,divide(X1,X1)))) = X0,
    inference(superposition,[status(thm)],[c_409,c_119]) ).

cnf(c_714,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_712,c_634]) ).

cnf(c_717,plain,
    multiply(divide(X0,X0),X1) = X1,
    inference(demodulation,[status(thm)],[c_110,c_714]) ).

cnf(c_757,plain,
    divide(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_717,c_403]) ).

cnf(c_790,plain,
    divide(X0,divide(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_757,c_49]) ).

cnf(c_850,plain,
    divide(X0,multiply(X0,X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_64,c_790]) ).

cnf(c_866,plain,
    multiply(divide(X0,X1),X1) = X0,
    inference(superposition,[status(thm)],[c_790,c_403]) ).

cnf(c_894,plain,
    multiply(inverse(X0),X1) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_866,c_409]) ).

cnf(c_898,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_409,c_894]) ).

cnf(c_910,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_898,c_403]) ).

cnf(c_914,plain,
    multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
    inference(demodulation,[status(thm)],[c_52,c_910]) ).

cnf(c_1007,plain,
    inverse(divide(X0,X1)) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_403,c_850]) ).

cnf(c_1054,plain,
    divide(X0,divide(X1,X2)) = multiply(divide(X0,X1),X2),
    inference(superposition,[status(thm)],[c_307,c_403]) ).

cnf(c_1195,plain,
    divide(X0,inverse(X1)) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_714,c_894]) ).

cnf(c_1235,plain,
    divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
    inference(superposition,[status(thm)],[c_1195,c_1007]) ).

cnf(c_1334,plain,
    divide(X0,divide(inverse(X1),X2)) = multiply(X0,multiply(X1,X2)),
    inference(superposition,[status(thm)],[c_1235,c_64]) ).

cnf(c_1440,plain,
    divide(X0,divide(X1,X2)) = multiply(X2,divide(X0,X1)),
    inference(superposition,[status(thm)],[c_1054,c_910]) ).

cnf(c_1929,plain,
    divide(X0,divide(inverse(X1),X2)) = multiply(X2,multiply(X0,X1)),
    inference(superposition,[status(thm)],[c_64,c_1440]) ).

cnf(c_2174,plain,
    multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
    inference(superposition,[status(thm)],[c_1929,c_1334]) ).

cnf(c_2192,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm)],[c_914,c_2174]) ).

cnf(c_2193,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_2192]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP523-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.35  % Computer : n029.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Thu Jun 20 12:43:39 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.22/0.49  Running UEQ theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.35/1.18  % SZS status Started for theBenchmark.p
% 2.35/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.35/1.18  
% 2.35/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.35/1.18  
% 2.35/1.18  ------  iProver source info
% 2.35/1.18  
% 2.35/1.18  git: date: 2024-06-12 09:56:46 +0000
% 2.35/1.18  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.35/1.18  git: non_committed_changes: false
% 2.35/1.18  
% 2.35/1.18  ------ Parsing...successful
% 2.35/1.18  
% 2.35/1.18  
% 2.35/1.18  
% 2.35/1.18  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.35/1.18  
% 2.35/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.35/1.18  
% 2.35/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.35/1.18  ------ Proving...
% 2.35/1.18  ------ Problem Properties 
% 2.35/1.18  
% 2.35/1.18  
% 2.35/1.18  clauses                                 4
% 2.35/1.18  conjectures                             1
% 2.35/1.18  EPR                                     0
% 2.35/1.18  Horn                                    4
% 2.35/1.18  unary                                   4
% 2.35/1.18  binary                                  0
% 2.35/1.18  lits                                    4
% 2.35/1.18  lits eq                                 4
% 2.35/1.18  fd_pure                                 0
% 2.35/1.18  fd_pseudo                               0
% 2.35/1.18  fd_cond                                 0
% 2.35/1.18  fd_pseudo_cond                          0
% 2.35/1.18  AC symbols                              0
% 2.35/1.18  
% 2.35/1.18  ------ Input Options Time Limit: Unbounded
% 2.35/1.18  
% 2.35/1.18  
% 2.35/1.18  ------ 
% 2.35/1.18  Current options:
% 2.35/1.18  ------ 
% 2.35/1.18  
% 2.35/1.18  
% 2.35/1.18  
% 2.35/1.18  
% 2.35/1.18  ------ Proving...
% 2.35/1.18  
% 2.35/1.18  
% 2.35/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.35/1.18  
% 2.35/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.35/1.18  
% 2.35/1.18  
%------------------------------------------------------------------------------