TSTP Solution File: SYN110-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 Sep  1 03:05:21 EDT 2023

% Result   : Unsatisfiable 2.50s 1.16s
% Output   : CNFRefutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   27 (   8 unt;   1 nHn;  25 RR)
%            Number of literals    :   65 (   0 equ;  39 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   27 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ k2(c,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_61,plain,
    m0(a,X0,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).

cnf(c_63,plain,
    p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(c_73,plain,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

cnf(c_82,plain,
    q0(d,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_33) ).

cnf(c_86,plain,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

cnf(c_88,plain,
    ( ~ n0(X0,X1)
    | k1(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(c_107,plain,
    ( ~ l0(c)
    | m1(c,c,c) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_020) ).

cnf(c_111,plain,
    ( ~ m1(X0,c,X0)
    | ~ m0(a,X1,a)
    | ~ q0(X2,X0)
    | m1(X2,a,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_024) ).

cnf(c_179,plain,
    ( ~ n0(X0,X1)
    | ~ p0(X2,X3)
    | q1(X3,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_092) ).

cnf(c_214,plain,
    ( ~ m1(X0,X1,X2)
    | ~ k2(X3,X1)
    | ~ k1(X3)
    | k2(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).

cnf(c_216,plain,
    ( ~ q1(X0,X1,X1)
    | k2(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).

cnf(c_763,plain,
    ( ~ m0(a,X0,a)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_111]) ).

cnf(c_764,plain,
    ( m1(X0,a,X1)
    | ~ m1(X1,c,X1)
    | ~ q0(X0,X1)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_111]) ).

cnf(c_765,plain,
    ( sP28_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_111]) ).

cnf(c_798,plain,
    ( ~ m1(c,c,c)
    | ~ q0(X0,c)
    | ~ sP29_iProver_split
    | m1(X0,a,c) ),
    inference(instantiation,[status(thm)],[c_764]) ).

cnf(c_815,plain,
    ( ~ n0(b,a)
    | k1(a) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_929,plain,
    ( ~ m1(c,c,c)
    | ~ q0(d,c)
    | ~ sP29_iProver_split
    | m1(d,a,c) ),
    inference(instantiation,[status(thm)],[c_798]) ).

cnf(c_931,plain,
    p0(b,a),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_935,plain,
    ( ~ m1(X0,a,c)
    | ~ k2(X1,a)
    | ~ k1(X1)
    | k2(c,a) ),
    inference(instantiation,[status(thm)],[c_214]) ).

cnf(c_985,plain,
    ( ~ m1(X0,a,c)
    | ~ k2(a,a)
    | ~ k1(a)
    | k2(c,a) ),
    inference(instantiation,[status(thm)],[c_935]) ).

cnf(c_986,plain,
    ( ~ q1(X0,a,a)
    | k2(a,a) ),
    inference(instantiation,[status(thm)],[c_216]) ).

cnf(c_1008,plain,
    ( ~ q1(a,a,a)
    | k2(a,a) ),
    inference(instantiation,[status(thm)],[c_986]) ).

cnf(c_1009,plain,
    ( ~ n0(X0,a)
    | ~ p0(X1,a)
    | q1(a,a,a) ),
    inference(instantiation,[status(thm)],[c_179]) ).

cnf(c_1010,plain,
    ( ~ n0(b,a)
    | ~ p0(b,a)
    | q1(a,a,a) ),
    inference(instantiation,[status(thm)],[c_1009]) ).

cnf(c_1039,plain,
    ( ~ m1(d,a,c)
    | ~ k2(a,a)
    | ~ k1(a)
    | k2(c,a) ),
    inference(instantiation,[status(thm)],[c_985]) ).

cnf(c_1040,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1039,c_1010,c_1008,c_931,c_929,c_815,c_763,c_765,c_107,c_61,c_49,c_82,c_86,c_73]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 17:40:53 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.50/1.16  % SZS status Started for theBenchmark.p
% 2.50/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 2.50/1.16  
% 2.50/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.50/1.16  
% 2.50/1.16  ------  iProver source info
% 2.50/1.16  
% 2.50/1.16  git: date: 2023-05-31 18:12:56 +0000
% 2.50/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.50/1.16  git: non_committed_changes: false
% 2.50/1.16  git: last_make_outside_of_git: false
% 2.50/1.16  
% 2.50/1.16  ------ Parsing...successful
% 2.50/1.16  
% 2.50/1.16  ------  preprocesses with Option_epr_horn
% 2.50/1.16  
% 2.50/1.16  
% 2.50/1.16  ------ Preprocessing... sf_s  rm: 203 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.50/1.16  
% 2.50/1.16  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 2.50/1.16   gs_s  sp: 40 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.50/1.16  ------ Proving...
% 2.50/1.16  ------ Problem Properties 
% 2.50/1.16  
% 2.50/1.16  
% 2.50/1.16  clauses                                 172
% 2.50/1.16  conjectures                             1
% 2.50/1.16  EPR                                     172
% 2.50/1.16  Horn                                    152
% 2.50/1.16  unary                                   50
% 2.50/1.16  binary                                  62
% 2.50/1.16  lits                                    376
% 2.50/1.16  lits eq                                 0
% 2.50/1.16  fd_pure                                 0
% 2.50/1.16  fd_pseudo                               0
% 2.50/1.16  fd_cond                                 0
% 2.50/1.16  fd_pseudo_cond                          0
% 2.50/1.16  AC symbols                              0
% 2.50/1.16  
% 2.50/1.16  ------ Schedule EPR non Horn non eq is on
% 2.50/1.16  
% 2.50/1.16  ------ no equalities: superposition off 
% 2.50/1.16  
% 2.50/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.50/1.16  
% 2.50/1.16  
% 2.50/1.16  ------ 
% 2.50/1.16  Current options:
% 2.50/1.16  ------ 
% 2.50/1.16  
% 2.50/1.16  
% 2.50/1.16  
% 2.50/1.16  
% 2.50/1.16  ------ Proving...
% 2.50/1.16  
% 2.50/1.16  
% 2.50/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 2.50/1.16  
% 2.50/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.50/1.16  
% 2.50/1.16  
%------------------------------------------------------------------------------