TSTP Solution File: SCT002-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SCT002-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:58:15 EDT 2024

% Result   : Unsatisfiable 10.12s 2.18s
% Output   : CNFRefutation 10.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_694,plain,
    ( ~ hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))
    | ~ hBOOL(c_in(c_Pair(X1,X4,X2,X2),X3,tc_prod(X2,X2)))
    | ~ c_Relation_Otrans(X3,X2)
    | hBOOL(c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__def_0) ).

cnf(c_699,negated_conjecture,
    c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_700,negated_conjecture,
    ~ hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_701,negated_conjecture,
    hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_702,negated_conjecture,
    hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_24364,plain,
    ( ~ hBOOL(c_in(c_Pair(v_y,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(superposition,[status(thm)],[c_702,c_694]) ).

cnf(c_24443,plain,
    ( ~ hBOOL(c_in(c_Pair(v_y,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | hBOOL(c_in(c_Pair(v_x,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(global_subsumption_just,[status(thm)],[c_24364,c_699,c_24364]) ).

cnf(c_24450,plain,
    hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    inference(superposition,[status(thm)],[c_701,c_24443]) ).

cnf(c_24926,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_24450,c_700]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SCT002-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.15  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 18:42:50 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  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
% 10.12/2.18  % SZS status Started for theBenchmark.p
% 10.12/2.18  % SZS status Unsatisfiable for theBenchmark.p
% 10.12/2.18  
% 10.12/2.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.12/2.18  
% 10.12/2.18  ------  iProver source info
% 10.12/2.18  
% 10.12/2.18  git: date: 2024-05-02 19:28:25 +0000
% 10.12/2.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.12/2.18  git: non_committed_changes: false
% 10.12/2.18  
% 10.12/2.18  ------ Parsing...successful
% 10.12/2.18  
% 10.12/2.18  
% 10.12/2.18  
% 10.12/2.18  ------ Preprocessing... sup_sim: 30  sf_s  rm: 11 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 10.12/2.18  
% 10.12/2.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.12/2.18  
% 10.12/2.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.12/2.18  ------ Proving...
% 10.12/2.18  ------ Problem Properties 
% 10.12/2.18  
% 10.12/2.18  
% 10.12/2.18  clauses                                 569
% 10.12/2.18  conjectures                             6
% 10.12/2.18  EPR                                     21
% 10.12/2.18  Horn                                    506
% 10.12/2.18  unary                                   171
% 10.12/2.18  binary                                  234
% 10.12/2.18  lits                                    1173
% 10.12/2.18  lits eq                                 263
% 10.12/2.18  fd_pure                                 0
% 10.12/2.18  fd_pseudo                               0
% 10.12/2.18  fd_cond                                 0
% 10.12/2.18  fd_pseudo_cond                          41
% 10.12/2.18  AC symbols                              0
% 10.12/2.18  
% 10.12/2.18  ------ Input Options Time Limit: Unbounded
% 10.12/2.18  
% 10.12/2.18  
% 10.12/2.18  ------ 
% 10.12/2.18  Current options:
% 10.12/2.18  ------ 
% 10.12/2.18  
% 10.12/2.18  
% 10.12/2.18  
% 10.12/2.18  
% 10.12/2.18  ------ Proving...
% 10.12/2.18  
% 10.12/2.18  
% 10.12/2.18  % SZS status Unsatisfiable for theBenchmark.p
% 10.12/2.18  
% 10.12/2.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.12/2.18  
% 10.12/2.18  
%------------------------------------------------------------------------------