TSTP Solution File: SYN162-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN162-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 03:29:29 EDT 2024

% Result   : Unsatisfiable 3.97s 1.19s
% Output   : CNFRefutation 3.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   47 (  10 unt;   2 nHn;  45 RR)
%            Number of literals    :  109 (   0 equ;  65 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   23 (  22 usr;   5 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   50 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ n5(c,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_56,plain,
    n0(d,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).

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

cnf(c_68,plain,
    m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

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

cnf(c_78,plain,
    q0(d,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_29) ).

cnf(c_81,plain,
    k0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

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

cnf(c_155,plain,
    ( ~ k0(X0)
    | p1(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).

cnf(c_212,plain,
    ( ~ p0(X0,X0)
    | s1(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(c_213,plain,
    ( ~ q0(X0,X1)
    | ~ s1(X2)
    | s1(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(c_220,plain,
    ( ~ m0(X0,X1,X2)
    | ~ p0(X3,X3)
    | ~ s1(X1)
    | l2(X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).

cnf(c_224,plain,
    ( ~ p1(X0,X1,X2)
    | n2(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(c_270,plain,
    ( ~ l2(X0,X1)
    | ~ k1(X0)
    | ~ l0(c)
    | q2(X1,c,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_183) ).

cnf(c_297,plain,
    ( ~ n2(X0)
    | k3(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).

cnf(c_323,plain,
    ( ~ n2(X0)
    | m3(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).

cnf(c_345,plain,
    ( ~ l2(X0,X0)
    | ~ s1(X1)
    | ~ r2(X2)
    | q3(X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_258) ).

cnf(c_382,plain,
    ( ~ q2(X0,X1,X2)
    | ~ k3(X3,X3,X2)
    | ~ m3(X0,X4,X0)
    | q4(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).

cnf(c_400,plain,
    ( ~ q4(X0,X1)
    | n5(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_313) ).

cnf(c_419,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_420,plain,
    m0(b,d,b),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_427,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[c_212]) ).

cnf(c_438,plain,
    ( ~ n2(b)
    | m3(b,b,b) ),
    inference(instantiation,[status(thm)],[c_323]) ).

cnf(c_440,plain,
    ( ~ n2(b)
    | k3(b,b,b) ),
    inference(instantiation,[status(thm)],[c_297]) ).

cnf(c_442,plain,
    ( ~ p1(b,b,b)
    | n2(b) ),
    inference(instantiation,[status(thm)],[c_224]) ).

cnf(c_444,plain,
    ( ~ k0(b)
    | p1(b,b,b) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_686,plain,
    ( ~ k1(X0)
    | ~ l2(X0,X1)
    | q2(X1,c,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_270,c_73,c_270]) ).

cnf(c_687,plain,
    ( ~ l2(X0,X1)
    | ~ k1(X0)
    | q2(X1,c,X0) ),
    inference(renaming,[status(thm)],[c_686]) ).

cnf(c_688,plain,
    ( ~ l2(b,b)
    | ~ k1(b)
    | q2(b,c,b) ),
    inference(instantiation,[status(thm)],[c_687]) ).

cnf(c_760,plain,
    ( ~ s1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_345]) ).

cnf(c_825,plain,
    ( ~ p0(X0,X0)
    | ~ sP68_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP68_iProver_def])],[c_220]) ).

cnf(c_826,plain,
    ( ~ m0(X0,X1,X2)
    | l2(X2,X2)
    | ~ s1(X1)
    | ~ sP69_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP69_iProver_def])],[c_220]) ).

cnf(c_827,plain,
    ( sP68_iProver_def
    | sP69_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_220]) ).

cnf(c_828,plain,
    ( ~ q0(X0,X1)
    | s1(X0)
    | ~ sP70_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP70_iProver_def])],[c_213]) ).

cnf(c_829,plain,
    ( sP25_iProver_def
    | sP70_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_213]) ).

cnf(c_879,plain,
    ( ~ s1(b)
    | ~ sP25_iProver_def ),
    inference(instantiation,[status(thm)],[c_760]) ).

cnf(c_894,plain,
    ( ~ p0(b,b)
    | ~ sP68_iProver_def ),
    inference(instantiation,[status(thm)],[c_825]) ).

cnf(c_958,plain,
    ( ~ q4(X0,c)
    | n5(c,c) ),
    inference(instantiation,[status(thm)],[c_400]) ).

cnf(c_959,plain,
    ( ~ q4(b,c)
    | n5(c,c) ),
    inference(instantiation,[status(thm)],[c_958]) ).

cnf(c_972,plain,
    ( ~ n0(d,b)
    | k1(b) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_1001,plain,
    ( ~ q0(d,X0)
    | ~ sP70_iProver_def
    | s1(d) ),
    inference(instantiation,[status(thm)],[c_828]) ).

cnf(c_1002,plain,
    ( ~ q0(d,b)
    | ~ sP70_iProver_def
    | s1(d) ),
    inference(instantiation,[status(thm)],[c_1001]) ).

cnf(c_1201,plain,
    ( ~ m0(X0,d,X1)
    | ~ s1(d)
    | ~ sP69_iProver_def
    | l2(X1,X1) ),
    inference(instantiation,[status(thm)],[c_826]) ).

cnf(c_1202,plain,
    ( ~ m0(b,d,b)
    | ~ s1(d)
    | ~ sP69_iProver_def
    | l2(b,b) ),
    inference(instantiation,[status(thm)],[c_1201]) ).

cnf(c_1411,plain,
    ( ~ k3(X0,X0,X1)
    | ~ m3(X2,X3,X2)
    | ~ q2(X2,c,X1)
    | q4(X1,c) ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_1412,plain,
    ( ~ q2(b,c,b)
    | ~ k3(b,b,b)
    | ~ m3(b,b,b)
    | q4(b,c) ),
    inference(instantiation,[status(thm)],[c_1411]) ).

cnf(c_1413,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1412,c_1202,c_1002,c_972,c_959,c_894,c_879,c_829,c_827,c_688,c_444,c_442,c_440,c_438,c_427,c_420,c_49,c_56,c_419,c_78,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN162-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 20:41:10 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.97/1.19  % SZS status Started for theBenchmark.p
% 3.97/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.97/1.19  
% 3.97/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.97/1.19  
% 3.97/1.19  ------  iProver source info
% 3.97/1.19  
% 3.97/1.19  git: date: 2024-05-02 19:28:25 +0000
% 3.97/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.97/1.19  git: non_committed_changes: false
% 3.97/1.19  
% 3.97/1.19  ------ Parsing...successful
% 3.97/1.19  
% 3.97/1.19  ------  preprocesses with Option_epr_horn
% 3.97/1.19  
% 3.97/1.19  
% 3.97/1.19  ------ Preprocessing... sf_s  rm: 32 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.97/1.19  
% 3.97/1.19  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 3.97/1.19   gs_s  sp: 112 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.97/1.19  ------ Proving...
% 3.97/1.19  ------ Problem Properties 
% 3.97/1.19  
% 3.97/1.19  
% 3.97/1.19  clauses                                 408
% 3.97/1.19  conjectures                             1
% 3.97/1.19  EPR                                     408
% 3.97/1.19  Horn                                    353
% 3.97/1.19  unary                                   52
% 3.97/1.19  binary                                  165
% 3.97/1.19  lits                                    1025
% 3.97/1.19  lits eq                                 0
% 3.97/1.19  fd_pure                                 0
% 3.97/1.19  fd_pseudo                               0
% 3.97/1.19  fd_cond                                 0
% 3.97/1.19  fd_pseudo_cond                          0
% 3.97/1.19  AC symbols                              0
% 3.97/1.19  
% 3.97/1.19  ------ Schedule EPR non Horn non eq is on
% 3.97/1.19  
% 3.97/1.19  ------ no equalities: superposition off 
% 3.97/1.19  
% 3.97/1.19  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.97/1.19  
% 3.97/1.19  
% 3.97/1.19  ------ 
% 3.97/1.19  Current options:
% 3.97/1.19  ------ 
% 3.97/1.19  
% 3.97/1.19  
% 3.97/1.19  
% 3.97/1.19  
% 3.97/1.19  ------ Proving...
% 3.97/1.19  
% 3.97/1.19  
% 3.97/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.97/1.19  
% 3.97/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.97/1.19  
% 3.97/1.19  
%------------------------------------------------------------------------------