TSTP Solution File: GRP698-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP698-1 : TPTP v8.1.2. Released v4.0.0.
% 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 15.70s 2.62s
% Output   : CNFRefutation 15.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% 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    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   44 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).

cnf(c_50,plain,
    ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

cnf(c_51,plain,
    mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

cnf(c_53,plain,
    mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

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/sandbox2/benchmark/theBenchmark.p',c07) ).

cnf(c_57,negated_conjecture,
    mult(rd(mult(a,b),a),mult(a,c)) != mult(a,mult(b,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c_165,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_172,plain,
    mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
    inference(superposition,[status(thm)],[c_53,c_55]) ).

cnf(c_5124,plain,
    mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
    inference(superposition,[status(thm)],[c_53,c_172]) ).

cnf(c_5255,plain,
    mult(X0,mult(mult(ld(X0,X1),X0),X0)) = mult(mult(X1,X0),X0),
    inference(superposition,[status(thm)],[c_49,c_5124]) ).

cnf(c_5414,plain,
    ld(X0,mult(mult(X1,X0),X0)) = mult(mult(ld(X0,X1),X0),X0),
    inference(superposition,[status(thm)],[c_5255,c_50]) ).

cnf(c_6211,plain,
    mult(mult(ld(X0,rd(X1,X0)),X0),X0) = ld(X0,mult(X1,X0)),
    inference(superposition,[status(thm)],[c_51,c_5414]) ).

cnf(c_10403,plain,
    ld(X0,mult(mult(X1,X0),mult(X0,X2))) = mult(mult(mult(ld(X0,X1),X0),X0),X2),
    inference(superposition,[status(thm)],[c_165,c_50]) ).

cnf(c_16341,plain,
    mult(mult(mult(ld(X0,rd(X1,X0)),X0),X0),X2) = ld(X0,mult(X1,mult(X0,X2))),
    inference(superposition,[status(thm)],[c_51,c_10403]) ).

cnf(c_16461,plain,
    ld(X0,mult(X1,mult(X0,X2))) = mult(ld(X0,mult(X1,X0)),X2),
    inference(light_normalisation,[status(thm)],[c_16341,c_6211]) ).

cnf(c_16642,plain,
    mult(ld(X0,mult(X1,X0)),ld(X0,X2)) = ld(X0,mult(X1,X2)),
    inference(superposition,[status(thm)],[c_49,c_16461]) ).

cnf(c_17337,plain,
    ld(X0,mult(rd(X1,X0),X2)) = mult(ld(X0,X1),ld(X0,X2)),
    inference(superposition,[status(thm)],[c_51,c_16642]) ).

cnf(c_18025,plain,
    mult(X0,mult(ld(X0,X1),ld(X0,X2))) = mult(rd(X1,X0),X2),
    inference(superposition,[status(thm)],[c_17337,c_49]) ).

cnf(c_26503,plain,
    mult(rd(mult(X0,X1),X0),X2) = mult(X0,mult(X1,ld(X0,X2))),
    inference(superposition,[status(thm)],[c_50,c_18025]) ).

cnf(c_26681,plain,
    mult(a,mult(b,ld(a,mult(a,c)))) != mult(a,mult(b,c)),
    inference(demodulation,[status(thm)],[c_57,c_26503]) ).

cnf(c_27059,plain,
    $false,
    inference(superposition,[status(thm)],[c_50,c_26681]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP698-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % 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 : Fri May  3 00:05:13 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running UEQ theorem proving
% 0.17/0.44  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
% 15.70/2.62  % SZS status Started for theBenchmark.p
% 15.70/2.62  % SZS status Unsatisfiable for theBenchmark.p
% 15.70/2.62  
% 15.70/2.62  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 15.70/2.62  
% 15.70/2.62  ------  iProver source info
% 15.70/2.62  
% 15.70/2.62  git: date: 2024-05-02 19:28:25 +0000
% 15.70/2.62  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 15.70/2.62  git: non_committed_changes: false
% 15.70/2.62  
% 15.70/2.62  ------ Parsing...successful
% 15.70/2.62  
% 15.70/2.62  
% 15.70/2.62  
% 15.70/2.62  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 15.70/2.62  
% 15.70/2.62  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 15.70/2.62  
% 15.70/2.62  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 15.70/2.62  ------ Proving...
% 15.70/2.62  ------ Problem Properties 
% 15.70/2.62  
% 15.70/2.62  
% 15.70/2.62  clauses                                 9
% 15.70/2.62  conjectures                             1
% 15.70/2.62  EPR                                     0
% 15.70/2.62  Horn                                    9
% 15.70/2.62  unary                                   9
% 15.70/2.62  binary                                  0
% 15.70/2.62  lits                                    9
% 15.70/2.62  lits eq                                 9
% 15.70/2.62  fd_pure                                 0
% 15.70/2.62  fd_pseudo                               0
% 15.70/2.62  fd_cond                                 0
% 15.70/2.62  fd_pseudo_cond                          0
% 15.70/2.62  AC symbols                              0
% 15.70/2.62  
% 15.70/2.62  ------ Input Options Time Limit: Unbounded
% 15.70/2.62  
% 15.70/2.62  
% 15.70/2.62  ------ 
% 15.70/2.62  Current options:
% 15.70/2.62  ------ 
% 15.70/2.62  
% 15.70/2.62  
% 15.70/2.62  
% 15.70/2.62  
% 15.70/2.62  ------ Proving...
% 15.70/2.62  
% 15.70/2.62  
% 15.70/2.62  % SZS status Unsatisfiable for theBenchmark.p
% 15.70/2.62  
% 15.70/2.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.70/2.62  
% 15.70/2.62  
%------------------------------------------------------------------------------