TSTP Solution File: SCT024-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SCT024-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 02:58:17 EDT 2024

% Result   : Unsatisfiable 17.67s 3.15s
% Output   : CNFRefutation 17.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (  10 unt;   2 nHn;  13 RR)
%            Number of literals    :   31 (   6 equ;  16 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-4 aty)
%            Number of variables   :    9 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_720,negated_conjecture,
    ( ~ hBOOL(c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1)))
    | ~ c_Relation_Oirrefl(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_0) ).

cnf(c_727,negated_conjecture,
    c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_728,negated_conjecture,
    c_Relation_Oirrefl(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_729,negated_conjecture,
    c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_730,negated_conjecture,
    hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_731,negated_conjecture,
    ~ hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_735,negated_conjecture,
    ( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Otrans(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
    | X0 = X1
    | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(c_1760,plain,
    c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt),
    inference(instantiation,[status(thm)],[c_727]) ).

cnf(c_2468,plain,
    ( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | v_a = v_b
    | hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(superposition,[status(thm)],[c_730,c_735]) ).

cnf(c_2477,plain,
    ( v_a = v_b
    | ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
    inference(global_subsumption_just,[status(thm)],[c_2468,c_731,c_1760,c_2468]) ).

cnf(c_2478,plain,
    ( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | v_a = v_b ),
    inference(renaming,[status(thm)],[c_2477]) ).

cnf(c_2479,plain,
    ( ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | v_a = v_b ),
    inference(superposition,[status(thm)],[c_729,c_2478]) ).

cnf(c_2480,plain,
    v_a = v_b,
    inference(superposition,[status(thm)],[c_728,c_2479]) ).

cnf(c_2483,plain,
    hBOOL(c_in(c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    inference(superposition,[status(thm)],[c_2480,c_730]) ).

cnf(c_2503,plain,
    ~ c_Relation_Oirrefl(hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt),
    inference(superposition,[status(thm)],[c_2483,c_720]) ).

cnf(c_2506,plain,
    $false,
    inference(superposition,[status(thm)],[c_728,c_2503]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SCT024-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n019.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 : Thu May  2 18:52:29 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.67/3.15  % SZS status Started for theBenchmark.p
% 17.67/3.15  % SZS status Unsatisfiable for theBenchmark.p
% 17.67/3.15  
% 17.67/3.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.67/3.15  
% 17.67/3.15  ------  iProver source info
% 17.67/3.15  
% 17.67/3.15  git: date: 2024-05-02 19:28:25 +0000
% 17.67/3.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.67/3.15  git: non_committed_changes: false
% 17.67/3.15  
% 17.67/3.15  ------ Parsing...successful
% 17.67/3.15  
% 17.67/3.15  
% 17.67/3.15  
% 17.67/3.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 13 0s  sf_e  sup_sim: 0  sf_s  rm: 6 0s  sf_e 
% 17.67/3.15  
% 17.67/3.15  ------ Preprocessing...
% 17.67/3.15  
% 17.67/3.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 17.67/3.15  ------ Proving...
% 17.67/3.15  ------ Problem Properties 
% 17.67/3.15  
% 17.67/3.15  
% 17.67/3.15  clauses                                 632
% 17.67/3.15  conjectures                             27
% 17.67/3.15  EPR                                     27
% 17.67/3.15  Horn                                    562
% 17.67/3.15  unary                                   195
% 17.67/3.15  binary                                  272
% 17.67/3.15  lits                                    1276
% 17.67/3.15  lits eq                                 307
% 17.67/3.15  fd_pure                                 0
% 17.67/3.15  fd_pseudo                               0
% 17.67/3.15  fd_cond                                 0
% 17.67/3.15  fd_pseudo_cond                          48
% 17.67/3.15  AC symbols                              0
% 17.67/3.15  
% 17.67/3.15  ------ Input Options Time Limit: Unbounded
% 17.67/3.15  
% 17.67/3.15  
% 17.67/3.15  ------ 
% 17.67/3.15  Current options:
% 17.67/3.15  ------ 
% 17.67/3.15  
% 17.67/3.15  
% 17.67/3.15  
% 17.67/3.15  
% 17.67/3.15  ------ Proving...
% 17.67/3.15  
% 17.67/3.15  
% 17.67/3.15  % SZS status Unsatisfiable for theBenchmark.p
% 17.67/3.15  
% 17.67/3.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.67/3.15  
% 17.67/3.15  
%------------------------------------------------------------------------------