TSTP Solution File: ALG235-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG235-1 : TPTP v8.1.2. Released v4.0.0.
% 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 02:04:25 EDT 2024

% Result   : Unsatisfiable 3.29s 1.13s
% Output   : CNFRefutation 3.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   3 RR)
%            Number of literals    :   14 (  13 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   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   :   32 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    mult(X0,mult(X1,mult(X0,X1))) = mult(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).

cnf(c_50,plain,
    mult(X0,mult(X1,mult(X2,X3))) = mult(X2,mult(X1,mult(X0,X3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).

cnf(c_51,plain,
    mult(mult(X0,mult(X1,mult(X2,X1))),X3) = mult(X0,mult(X3,mult(mult(X2,X1),X3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).

cnf(c_52,negated_conjecture,
    mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(c_64,plain,
    mult(a,mult(c,mult(a,mult(b,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
    inference(demodulation,[status(thm)],[c_52,c_50]) ).

cnf(c_104,plain,
    mult(X0,mult(X1,mult(X2,mult(X1,X0)))) = mult(X2,mult(X1,X0)),
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_117,plain,
    mult(X0,mult(X1,mult(X0,mult(mult(X1,X2),X2)))) = mult(X0,mult(X1,X2)),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_163,plain,
    mult(mult(X0,X1),mult(X1,mult(X0,X1))) = mult(X0,X1),
    inference(superposition,[status(thm)],[c_49,c_104]) ).

cnf(c_236,plain,
    mult(X0,mult(X1,mult(mult(X0,X1),X1))) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_163,c_50]) ).

cnf(c_462,plain,
    mult(X0,mult(X1,mult(mult(X0,X2),X1))) = mult(mult(X0,X2),X1),
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_559,plain,
    mult(mult(X0,X1),X1) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_236,c_462]) ).

cnf(c_982,plain,
    mult(X0,mult(X1,mult(X0,mult(X1,X2)))) = mult(X0,mult(X1,X2)),
    inference(demodulation,[status(thm)],[c_117,c_559]) ).

cnf(c_996,plain,
    mult(X0,mult(X1,mult(X0,mult(X2,mult(X3,X1))))) = mult(X0,mult(X2,mult(X3,X1))),
    inference(superposition,[status(thm)],[c_104,c_982]) ).

cnf(c_1018,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_64,c_996]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG235-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 22:47:05 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running UEQ theorem proving
% 0.18/0.45  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
% 3.29/1.13  % SZS status Started for theBenchmark.p
% 3.29/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.29/1.13  
% 3.29/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.29/1.13  
% 3.29/1.13  ------  iProver source info
% 3.29/1.13  
% 3.29/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.29/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.29/1.13  git: non_committed_changes: false
% 3.29/1.13  
% 3.29/1.13  ------ Parsing...successful
% 3.29/1.13  
% 3.29/1.13  
% 3.29/1.13  
% 3.29/1.13  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.29/1.13  
% 3.29/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.29/1.13  
% 3.29/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.29/1.13  ------ Proving...
% 3.29/1.13  ------ Problem Properties 
% 3.29/1.13  
% 3.29/1.13  
% 3.29/1.13  clauses                                 4
% 3.29/1.13  conjectures                             0
% 3.29/1.13  EPR                                     0
% 3.29/1.13  Horn                                    4
% 3.29/1.13  unary                                   4
% 3.29/1.13  binary                                  0
% 3.29/1.13  lits                                    4
% 3.29/1.13  lits eq                                 4
% 3.29/1.13  fd_pure                                 0
% 3.29/1.13  fd_pseudo                               0
% 3.29/1.13  fd_cond                                 0
% 3.29/1.13  fd_pseudo_cond                          0
% 3.29/1.13  AC symbols                              0
% 3.29/1.13  
% 3.29/1.13  ------ Input Options Time Limit: Unbounded
% 3.29/1.13  
% 3.29/1.13  
% 3.29/1.13  ------ 
% 3.29/1.13  Current options:
% 3.29/1.13  ------ 
% 3.29/1.13  
% 3.29/1.13  
% 3.29/1.13  
% 3.29/1.13  
% 3.29/1.13  ------ Proving...
% 3.29/1.13  
% 3.29/1.13  
% 3.29/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.29/1.13  
% 3.29/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.29/1.13  
% 3.29/1.13  
%------------------------------------------------------------------------------