TSTP Solution File: COL123-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL123-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 02:09:59 EDT 2024

% Result   : Unsatisfiable 115.51s 16.29s
% Output   : CNFRefutation 115.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (   3 unt;   0 nHn;  18 RR)
%            Number of literals    :   40 (   0 equ;  29 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-4 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_57,plain,
    ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | ~ c_in(c_Pair(X4,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).

cnf(c_59,negated_conjecture,
    c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_60,negated_conjecture,
    c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_61,negated_conjecture,
    ( ~ c_in(c_Pair(v_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(X0,v_xaa(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_62,negated_conjecture,
    ( ~ c_in(c_Pair(v_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(v_y,v_xaa(X0),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_63,negated_conjecture,
    ( ~ c_in(c_Pair(v_xb,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_64,negated_conjecture,
    ( ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(X0,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(X1,v_xa(X0,X1,X2),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_65,negated_conjecture,
    ( ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(X0,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(X2,v_xa(X0,X1,X2),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(c_184,plain,
    ( ~ c_in(X0,X1,tc_prod(X2,X2))
    | c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Or__into__rtrancl_0) ).

cnf(c_21531,plain,
    ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | ~ c_in(c_Pair(X1,X4,X2,X2),X3,tc_prod(X2,X2))
    | c_in(c_Pair(X0,X4,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
    inference(superposition,[status(thm)],[c_184,c_57]) ).

cnf(c_21615,plain,
    ( ~ c_in(c_Pair(v_xaa(X0),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(superposition,[status(thm)],[c_61,c_21531]) ).

cnf(c_21797,plain,
    ( ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(superposition,[status(thm)],[c_21615,c_63]) ).

cnf(c_21837,plain,
    ( ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(global_subsumption_just,[status(thm)],[c_21797,c_60,c_21797]) ).

cnf(c_21838,plain,
    ( ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(renaming,[status(thm)],[c_21837]) ).

cnf(c_21840,plain,
    ( ~ c_in(c_Pair(v_z,v_xa(X0,v_xaa(v_xb),X1),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(superposition,[status(thm)],[c_64,c_21838]) ).

cnf(c_21848,plain,
    ( ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(X0,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(superposition,[status(thm)],[c_65,c_21840]) ).

cnf(c_21855,plain,
    ( ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(superposition,[status(thm)],[c_62,c_21848]) ).

cnf(c_21856,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_21855,c_59,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COL123-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n028.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 : Thu May  2 21:44:48 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 115.51/16.29  % SZS status Started for theBenchmark.p
% 115.51/16.29  % SZS status Unsatisfiable for theBenchmark.p
% 115.51/16.29  
% 115.51/16.29  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 115.51/16.29  
% 115.51/16.29  ------  iProver source info
% 115.51/16.29  
% 115.51/16.29  git: date: 2024-05-02 19:28:25 +0000
% 115.51/16.29  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 115.51/16.29  git: non_committed_changes: false
% 115.51/16.29  
% 115.51/16.29  ------ Parsing...successful
% 115.51/16.29  
% 115.51/16.29  
% 115.51/16.29  
% 115.51/16.29  ------ Preprocessing... sup_sim: 0  sf_s  rm: 823 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 69 0s  sf_e  pe_s  pe_e 
% 115.51/16.29  
% 115.51/16.29  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 115.51/16.29  
% 115.51/16.29  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 115.51/16.29  ------ Proving...
% 115.51/16.29  ------ Problem Properties 
% 115.51/16.29  
% 115.51/16.29  
% 115.51/16.29  clauses                                 310
% 115.51/16.29  conjectures                             8
% 115.51/16.29  EPR                                     27
% 115.51/16.29  Horn                                    283
% 115.51/16.29  unary                                   82
% 115.51/16.29  binary                                  178
% 115.51/16.29  lits                                    588
% 115.51/16.29  lits eq                                 169
% 115.51/16.29  fd_pure                                 0
% 115.51/16.29  fd_pseudo                               0
% 115.51/16.29  fd_cond                                 21
% 115.51/16.29  fd_pseudo_cond                          42
% 115.51/16.29  AC symbols                              0
% 115.51/16.29  
% 115.51/16.29  ------ Input Options Time Limit: Unbounded
% 115.51/16.29  
% 115.51/16.29  
% 115.51/16.29  ------ 
% 115.51/16.29  Current options:
% 115.51/16.29  ------ 
% 115.51/16.29  
% 115.51/16.29  
% 115.51/16.29  
% 115.51/16.29  
% 115.51/16.29  ------ Proving...
% 115.51/16.29  
% 115.51/16.29  
% 115.51/16.29  % SZS status Unsatisfiable for theBenchmark.p
% 115.51/16.29  
% 115.51/16.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 115.51/16.29  
% 115.51/16.29  
%------------------------------------------------------------------------------