TSTP Solution File: GRP710-11 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP710-11 : TPTP v8.1.2. Released v8.1.0.
% 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 02:23:32 EDT 2024

% Result   : Unsatisfiable 3.86s 1.15s
% Output   : CNFRefutation 3.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   8 RR)
%            Number of literals    :   20 (  19 equ;   7 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   37 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    mult(X0,unit) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

cnf(c_50,plain,
    mult(unit,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

cnf(c_51,plain,
    mult(mult(mult(X0,X1),X1),X2) = mult(X0,mult(X1,mult(X1,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

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

cnf(c_54,negated_conjecture,
    mult(X0,x4) != x3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(c_75,negated_conjecture,
    mult(X0,x4) != x3,
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_124,plain,
    mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_125,plain,
    mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3) = mult(mult(mult(X0,X1),X1),mult(X2,mult(X2,X3))),
    inference(superposition,[status(thm)],[c_51,c_51]) ).

cnf(c_1045,plain,
    mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
    inference(demodulation,[status(thm)],[c_124,c_49]) ).

cnf(c_1046,plain,
    mult(mult(X0,mult(X1,X1)),X2) = mult(X0,mult(X1,mult(X1,X2))),
    inference(demodulation,[status(thm)],[c_51,c_1045]) ).

cnf(c_1052,plain,
    mult(i(X0),mult(X0,X0)) = mult(unit,X0),
    inference(superposition,[status(thm)],[c_53,c_1045]) ).

cnf(c_1062,plain,
    mult(X0,mult(x4,x4)) != x3,
    inference(superposition,[status(thm)],[c_1045,c_75]) ).

cnf(c_1092,plain,
    mult(i(X0),mult(X0,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1052,c_50]) ).

cnf(c_1465,plain,
    mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3) = mult(mult(X0,mult(X1,X1)),mult(X2,mult(X2,X3))),
    inference(light_normalisation,[status(thm)],[c_125,c_1045]) ).

cnf(c_1466,plain,
    mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3) = mult(X0,mult(X1,mult(X1,mult(X2,mult(X2,X3))))),
    inference(demodulation,[status(thm)],[c_1465,c_1046]) ).

cnf(c_1579,plain,
    mult(X0,mult(X1,mult(X1,mult(X2,mult(X2,mult(x4,x4)))))) != x3,
    inference(superposition,[status(thm)],[c_1466,c_1062]) ).

cnf(c_2398,plain,
    mult(X0,mult(X1,mult(X1,mult(x4,x4)))) != x3,
    inference(superposition,[status(thm)],[c_50,c_1579]) ).

cnf(c_2746,plain,
    mult(X0,mult(i(x4),x4)) != x3,
    inference(superposition,[status(thm)],[c_1092,c_2398]) ).

cnf(c_3321,plain,
    X0 != x3,
    inference(demodulation,[status(thm)],[c_2746,c_49,c_53]) ).

cnf(c_3322,plain,
    $false,
    inference(equality_resolution,[status(thm)],[c_3321]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP710-11 : TPTP v8.1.2. Released v8.1.0.
% 0.14/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri May  3 00:05:51 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running UEQ theorem proving
% 0.21/0.47  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
% 3.86/1.15  % SZS status Started for theBenchmark.p
% 3.86/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.86/1.15  
% 3.86/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.86/1.15  
% 3.86/1.15  ------  iProver source info
% 3.86/1.15  
% 3.86/1.15  git: date: 2024-05-02 19:28:25 +0000
% 3.86/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.86/1.15  git: non_committed_changes: false
% 3.86/1.15  
% 3.86/1.15  ------ Parsing...successful
% 3.86/1.15  
% 3.86/1.15  
% 3.86/1.15  
% 3.86/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.86/1.15  
% 3.86/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.86/1.15  
% 3.86/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.86/1.15  ------ Proving...
% 3.86/1.15  ------ Problem Properties 
% 3.86/1.15  
% 3.86/1.15  
% 3.86/1.15  clauses                                 6
% 3.86/1.15  conjectures                             1
% 3.86/1.15  EPR                                     0
% 3.86/1.15  Horn                                    6
% 3.86/1.15  unary                                   6
% 3.86/1.15  binary                                  0
% 3.86/1.15  lits                                    6
% 3.86/1.15  lits eq                                 6
% 3.86/1.15  fd_pure                                 0
% 3.86/1.15  fd_pseudo                               0
% 3.86/1.15  fd_cond                                 0
% 3.86/1.15  fd_pseudo_cond                          0
% 3.86/1.15  AC symbols                              0
% 3.86/1.15  
% 3.86/1.15  ------ Input Options Time Limit: Unbounded
% 3.86/1.15  
% 3.86/1.15  
% 3.86/1.15  ------ 
% 3.86/1.15  Current options:
% 3.86/1.15  ------ 
% 3.86/1.15  
% 3.86/1.15  
% 3.86/1.15  
% 3.86/1.15  
% 3.86/1.15  ------ Proving...
% 3.86/1.15  
% 3.86/1.15  
% 3.86/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.86/1.15  
% 3.86/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/1.15  
% 3.86/1.15  
%------------------------------------------------------------------------------