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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP700-10 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 07:01:50 EDT 2024

% Result   : Unsatisfiable 3.21s 1.13s
% Output   : CNFRefutation 3.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  21 unt;   0 nHn;   3 RR)
%            Number of literals    :   21 (  20 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    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   32 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

cnf(c_50,plain,
    ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

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

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

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

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

cnf(c_55,plain,
    mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).

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

cnf(c_153,plain,
    tuple(mult(ld(x0,X0),x0),X0) != tuple(unit,unit),
    inference(superposition,[status(thm)],[c_49,c_57]) ).

cnf(c_163,plain,
    ld(rd(X0,X1),X0) = X1,
    inference(superposition,[status(thm)],[c_51,c_50]) ).

cnf(c_171,plain,
    rd(X0,X0) = unit,
    inference(superposition,[status(thm)],[c_54,c_52]) ).

cnf(c_175,plain,
    mult(X0,mult(mult(mult(ld(X0,X1),X0),X0),X2)) = mult(mult(X1,X0),mult(X0,X2)),
    inference(superposition,[status(thm)],[c_49,c_55]) ).

cnf(c_476,plain,
    mult(X0,mult(mult(ld(X0,X1),X0),X0)) = mult(mult(X1,X0),mult(X0,unit)),
    inference(superposition,[status(thm)],[c_53,c_175]) ).

cnf(c_507,plain,
    mult(X0,mult(mult(ld(X0,X1),X0),X0)) = mult(mult(X1,X0),X0),
    inference(light_normalisation,[status(thm)],[c_476,c_53]) ).

cnf(c_1119,plain,
    rd(mult(mult(X0,X1),X1),mult(mult(ld(X1,X0),X1),X1)) = X1,
    inference(superposition,[status(thm)],[c_507,c_52]) ).

cnf(c_3998,plain,
    rd(mult(X0,X0),mult(mult(ld(X0,unit),X0),X0)) = X0,
    inference(superposition,[status(thm)],[c_54,c_1119]) ).

cnf(c_4082,plain,
    mult(mult(ld(X0,unit),X0),X0) = ld(X0,mult(X0,X0)),
    inference(superposition,[status(thm)],[c_3998,c_163]) ).

cnf(c_4764,plain,
    mult(mult(ld(X0,unit),X0),X0) = X0,
    inference(demodulation,[status(thm)],[c_4082,c_50]) ).

cnf(c_4778,plain,
    mult(ld(X0,unit),X0) = rd(X0,X0),
    inference(superposition,[status(thm)],[c_4764,c_52]) ).

cnf(c_4829,plain,
    mult(ld(X0,unit),X0) = unit,
    inference(light_normalisation,[status(thm)],[c_4778,c_171]) ).

cnf(c_5118,plain,
    $false,
    inference(superposition,[status(thm)],[c_4829,c_153]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP700-10 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Jun 20 11:09:39 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running UEQ theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.21/1.13  % SZS status Started for theBenchmark.p
% 3.21/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.21/1.13  
% 3.21/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.21/1.13  
% 3.21/1.13  ------  iProver source info
% 3.21/1.13  
% 3.21/1.13  git: date: 2024-06-12 09:56:46 +0000
% 3.21/1.13  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.21/1.13  git: non_committed_changes: false
% 3.21/1.13  
% 3.21/1.13  ------ Parsing...successful
% 3.21/1.13  
% 3.21/1.13  
% 3.21/1.13  
% 3.21/1.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.21/1.13  
% 3.21/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.21/1.13  
% 3.21/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.21/1.13  ------ Proving...
% 3.21/1.13  ------ Problem Properties 
% 3.21/1.13  
% 3.21/1.13  
% 3.21/1.13  clauses                                 9
% 3.21/1.13  conjectures                             1
% 3.21/1.13  EPR                                     0
% 3.21/1.13  Horn                                    9
% 3.21/1.13  unary                                   9
% 3.21/1.13  binary                                  0
% 3.21/1.13  lits                                    9
% 3.21/1.13  lits eq                                 9
% 3.21/1.13  fd_pure                                 0
% 3.21/1.13  fd_pseudo                               0
% 3.21/1.13  fd_cond                                 0
% 3.21/1.13  fd_pseudo_cond                          0
% 3.21/1.13  AC symbols                              0
% 3.21/1.13  
% 3.21/1.13  ------ Input Options Time Limit: Unbounded
% 3.21/1.13  
% 3.21/1.13  
% 3.21/1.13  ------ 
% 3.21/1.13  Current options:
% 3.21/1.13  ------ 
% 3.21/1.13  
% 3.21/1.13  
% 3.21/1.13  
% 3.21/1.13  
% 3.21/1.13  ------ Proving...
% 3.21/1.13  
% 3.21/1.13  
% 3.21/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.21/1.13  
% 3.21/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.21/1.13  
% 3.21/1.13  
%------------------------------------------------------------------------------