TSTP Solution File: GRP700-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP700-10 : TPTP v8.1.2. Released v8.1.0.
% 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 : Fri May  3 02:23:28 EDT 2024

% Result   : Unsatisfiable 3.81s 1.12s
% Output   : CNFRefutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   3 RR)
%            Number of literals    :   20 (  19 equ;   2 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;   2 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

cnf(c_51,plain,
    mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

cnf(c_52,plain,
    rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

cnf(c_53,plain,
    mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

cnf(c_54,plain,
    mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).

cnf(c_56,plain,
    mult(mult(X0,mult(X1,mult(X1,X2))),X1) = mult(mult(X0,X1),mult(X1,mult(X2,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).

cnf(c_57,negated_conjecture,
    tuple(mult(X0,x0),mult(x0,X0)) != tuple(unit,unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_154,plain,
    ld(X0,X0) = unit,
    inference(superposition,[status(thm)],[c_53,c_50]) ).

cnf(c_161,plain,
    ld(rd(X0,X1),X0) = X1,
    inference(superposition,[status(thm)],[c_51,c_50]) ).

cnf(c_163,plain,
    tuple(X0,mult(x0,rd(X0,x0))) != tuple(unit,unit),
    inference(superposition,[status(thm)],[c_51,c_57]) ).

cnf(c_210,plain,
    mult(mult(unit,X0),mult(X0,mult(X1,X0))) = mult(mult(X0,mult(X0,X1)),X0),
    inference(superposition,[status(thm)],[c_54,c_56]) ).

cnf(c_232,plain,
    mult(mult(X0,mult(X0,X1)),X0) = mult(X0,mult(X0,mult(X1,X0))),
    inference(light_normalisation,[status(thm)],[c_210,c_54]) ).

cnf(c_380,plain,
    rd(mult(X0,mult(X0,mult(X1,X0))),X0) = mult(X0,mult(X0,X1)),
    inference(superposition,[status(thm)],[c_232,c_52]) ).

cnf(c_613,plain,
    mult(X0,mult(X0,rd(X1,X0))) = rd(mult(X0,mult(X0,X1)),X0),
    inference(superposition,[status(thm)],[c_51,c_380]) ).

cnf(c_1571,plain,
    mult(X0,mult(X0,rd(unit,X0))) = rd(mult(X0,X0),X0),
    inference(superposition,[status(thm)],[c_53,c_613]) ).

cnf(c_1627,plain,
    rd(rd(mult(X0,X0),X0),mult(X0,rd(unit,X0))) = X0,
    inference(superposition,[status(thm)],[c_1571,c_52]) ).

cnf(c_1682,plain,
    rd(X0,mult(X0,rd(unit,X0))) = X0,
    inference(superposition,[status(thm)],[c_52,c_1627]) ).

cnf(c_1734,plain,
    mult(X0,rd(unit,X0)) = ld(X0,X0),
    inference(superposition,[status(thm)],[c_1682,c_161]) ).

cnf(c_1740,plain,
    mult(X0,rd(unit,X0)) = unit,
    inference(light_normalisation,[status(thm)],[c_1734,c_154]) ).

cnf(c_1781,plain,
    $false,
    inference(superposition,[status(thm)],[c_1740,c_163]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP700-10 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.12  % 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 : Thu May  2 23:59:58 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.19/0.44  Running UEQ theorem proving
% 0.19/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.81/1.12  % SZS status Started for theBenchmark.p
% 3.81/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.12  
% 3.81/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.81/1.12  
% 3.81/1.12  ------  iProver source info
% 3.81/1.12  
% 3.81/1.12  git: date: 2024-05-02 19:28:25 +0000
% 3.81/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.81/1.12  git: non_committed_changes: false
% 3.81/1.12  
% 3.81/1.12  ------ Parsing...successful
% 3.81/1.12  
% 3.81/1.12  
% 3.81/1.12  
% 3.81/1.12  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.81/1.12  
% 3.81/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.81/1.12  
% 3.81/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.81/1.12  ------ Proving...
% 3.81/1.12  ------ Problem Properties 
% 3.81/1.12  
% 3.81/1.12  
% 3.81/1.12  clauses                                 9
% 3.81/1.12  conjectures                             1
% 3.81/1.12  EPR                                     0
% 3.81/1.12  Horn                                    9
% 3.81/1.12  unary                                   9
% 3.81/1.12  binary                                  0
% 3.81/1.12  lits                                    9
% 3.81/1.12  lits eq                                 9
% 3.81/1.12  fd_pure                                 0
% 3.81/1.12  fd_pseudo                               0
% 3.81/1.12  fd_cond                                 0
% 3.81/1.12  fd_pseudo_cond                          0
% 3.81/1.12  AC symbols                              0
% 3.81/1.12  
% 3.81/1.12  ------ Input Options Time Limit: Unbounded
% 3.81/1.12  
% 3.81/1.12  
% 3.81/1.12  ------ 
% 3.81/1.12  Current options:
% 3.81/1.12  ------ 
% 3.81/1.12  
% 3.81/1.12  
% 3.81/1.12  
% 3.81/1.12  
% 3.81/1.12  ------ Proving...
% 3.81/1.12  
% 3.81/1.12  
% 3.81/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.12  
% 3.81/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.12  
% 3.81/1.12  
%------------------------------------------------------------------------------