TSTP Solution File: GRP118-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP118-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 02:21:02 EDT 2024

% Result   : Unsatisfiable 3.84s 1.04s
% Output   : CNFRefutation 3.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   19 (  19 unt;   0 nHn;   3 RR)
%            Number of literals    :   19 (  18 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;   4 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn)

% 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(multiply(a,b),c) != multiply(a,multiply(b,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).

cnf(c_89,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_94,plain,
    multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
    inference(superposition,[status(thm)],[c_49,c_89]) ).

cnf(c_109,plain,
    multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
    inference(demodulation,[status(thm)],[c_89,c_94]) ).

cnf(c_110,plain,
    multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
    inference(demodulation,[status(thm)],[c_49,c_94]) ).

cnf(c_126,plain,
    multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
    inference(superposition,[status(thm)],[c_94,c_110]) ).

cnf(c_145,plain,
    multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
    inference(superposition,[status(thm)],[c_94,c_126]) ).

cnf(c_147,plain,
    multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2))) = multiply(X0,multiply(X0,multiply(X1,multiply(identity,identity)))),
    inference(superposition,[status(thm)],[c_110,c_126]) ).

cnf(c_154,plain,
    multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(identity,identity))))) = X1,
    inference(demodulation,[status(thm)],[c_110,c_147]) ).

cnf(c_171,plain,
    multiply(X0,identity) = X0,
    inference(superposition,[status(thm)],[c_145,c_154]) ).

cnf(c_176,plain,
    multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
    inference(demodulation,[status(thm)],[c_145,c_171]) ).

cnf(c_237,plain,
    multiply(X0,multiply(multiply(multiply(identity,X1),multiply(identity,X1)),X1)) = X0,
    inference(superposition,[status(thm)],[c_176,c_109]) ).

cnf(c_333,plain,
    multiply(X0,multiply(multiply(X1,X1),multiply(identity,multiply(identity,X1)))) = X0,
    inference(superposition,[status(thm)],[c_176,c_237]) ).

cnf(c_964,plain,
    multiply(X0,multiply(X1,multiply(X1,multiply(identity,X1)))) = X0,
    inference(superposition,[status(thm)],[c_94,c_333]) ).

cnf(c_1029,plain,
    multiply(identity,X0) = X0,
    inference(superposition,[status(thm)],[c_964,c_176]) ).

cnf(c_1037,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(demodulation,[status(thm)],[c_94,c_1029]) ).

cnf(c_1039,plain,
    multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
    inference(demodulation,[status(thm)],[c_50,c_1037]) ).

cnf(c_1040,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1039]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : GRP118-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.09  % Command  : run_iprover %s %d THM
% 0.07/0.28  % Computer : n015.cluster.edu
% 0.07/0.28  % Model    : x86_64 x86_64
% 0.07/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28  % Memory   : 8042.1875MB
% 0.07/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28  % CPULimit : 300
% 0.12/0.28  % WCLimit  : 300
% 0.12/0.28  % DateTime : Fri May  3 00:03:06 EDT 2024
% 0.12/0.28  % CPUTime  : 
% 0.12/0.37  Running UEQ theorem proving
% 0.12/0.37  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
% 3.84/1.04  % SZS status Started for theBenchmark.p
% 3.84/1.04  % SZS status Unsatisfiable for theBenchmark.p
% 3.84/1.04  
% 3.84/1.04  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.84/1.04  
% 3.84/1.04  ------  iProver source info
% 3.84/1.04  
% 3.84/1.04  git: date: 2024-05-02 19:28:25 +0000
% 3.84/1.04  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.84/1.04  git: non_committed_changes: false
% 3.84/1.04  
% 3.84/1.04  ------ Parsing...successful
% 3.84/1.04  
% 3.84/1.04  
% 3.84/1.04  
% 3.84/1.04  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.84/1.04  
% 3.84/1.04  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.84/1.04  
% 3.84/1.04  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.84/1.04  ------ Proving...
% 3.84/1.04  ------ Problem Properties 
% 3.84/1.04  
% 3.84/1.04  
% 3.84/1.04  clauses                                 2
% 3.84/1.04  conjectures                             1
% 3.84/1.04  EPR                                     0
% 3.84/1.04  Horn                                    2
% 3.84/1.04  unary                                   2
% 3.84/1.04  binary                                  0
% 3.84/1.04  lits                                    2
% 3.84/1.04  lits eq                                 2
% 3.84/1.04  fd_pure                                 0
% 3.84/1.04  fd_pseudo                               0
% 3.84/1.04  fd_cond                                 0
% 3.84/1.04  fd_pseudo_cond                          0
% 3.84/1.04  AC symbols                              0
% 3.84/1.04  
% 3.84/1.04  ------ Input Options Time Limit: Unbounded
% 3.84/1.04  
% 3.84/1.04  
% 3.84/1.04  ------ 
% 3.84/1.04  Current options:
% 3.84/1.04  ------ 
% 3.84/1.04  
% 3.84/1.04  
% 3.84/1.04  
% 3.84/1.04  
% 3.84/1.04  ------ Proving...
% 3.84/1.04  
% 3.84/1.04  
% 3.84/1.04  % SZS status Unsatisfiable for theBenchmark.p
% 3.84/1.04  
% 3.84/1.04  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.84/1.04  
% 3.84/1.04  
%------------------------------------------------------------------------------