TSTP Solution File: LAT273-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT273-1 : TPTP v8.1.2. Released v3.2.0.
% 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 02:34:59 EDT 2024

% Result   : Unsatisfiable 17.72s 3.19s
% Output   : CNFRefutation 17.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   5 unt;   3 nHn;  15 RR)
%            Number of literals    :   43 (   8 equ;  26 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-4 aty)
%            Number of variables   :   21 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    c_in(v_b,v_A,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,negated_conjecture,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_53,negated_conjecture,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_55,negated_conjecture,
    ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_2797,plain,
    ( ~ c_lessequals(X0,c_Tarski_Ointerval(X1,X2,X3,X4),tc_set(X4))
    | ~ c_in(X5,X0,X4)
    | c_in(c_Pair(X5,X3,X4,X4),X1,tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).

cnf(c_2801,plain,
    ( ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
    | ~ c_in(X2,v_A,t_a)
    | c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(X0,v_r,X2),X0,t_a) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).

cnf(c_2802,plain,
    ( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X1),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_Tarski_OisLub(X0,v_cl,X2,t_a)
    | ~ c_in(X1,v_A,t_a)
    | c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).

cnf(c_34797,plain,
    ( X0 != v_S
    | X1 != v_L
    | t_a != t_a
    | v_cl != v_cl
    | ~ c_in(X2,v_A,t_a)
    | c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(X0,v_r,X2),X0,t_a) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_2801]) ).

cnf(c_34798,plain,
    ( ~ c_in(X0,v_A,t_a)
    | c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a) ),
    inference(unflattening,[status(thm)],[c_34797]) ).

cnf(c_34818,plain,
    ( X0 != v_S
    | X1 != v_L
    | t_a != t_a
    | v_cl != v_cl
    | ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X2),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(X2,v_A,t_a)
    | c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_2802]) ).

cnf(c_34819,plain,
    ( ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,X0),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(X0,v_A,t_a)
    | c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(unflattening,[status(thm)],[c_34818]) ).

cnf(c_71265,plain,
    ( ~ c_in(v_b,v_A,t_a)
    | c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
    inference(superposition,[status(thm)],[c_34798,c_55]) ).

cnf(c_71285,plain,
    ( ~ c_in(X0,v_S,t_a)
    | c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(superposition,[status(thm)],[c_51,c_2797]) ).

cnf(c_71411,plain,
    ( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
    | ~ c_in(v_b,v_A,t_a)
    | c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(superposition,[status(thm)],[c_71285,c_34819]) ).

cnf(c_71412,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_71411,c_71265,c_55,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT273-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 17:54:56 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
% 17.72/3.19  % SZS status Started for theBenchmark.p
% 17.72/3.19  % SZS status Unsatisfiable for theBenchmark.p
% 17.72/3.19  
% 17.72/3.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.72/3.19  
% 17.72/3.19  ------  iProver source info
% 17.72/3.19  
% 17.72/3.19  git: date: 2024-05-02 19:28:25 +0000
% 17.72/3.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.72/3.19  git: non_committed_changes: false
% 17.72/3.19  
% 17.72/3.19  ------ Parsing...successful
% 17.72/3.19  
% 17.72/3.19  
% 17.72/3.19  
% 17.72/3.19  ------ Preprocessing... sup_sim: 107  sf_s  rm: 605 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e 
% 17.72/3.19  
% 17.72/3.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.72/3.19  
% 17.72/3.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e 
% 17.72/3.19  ------ Proving...
% 17.72/3.19  ------ Problem Properties 
% 17.72/3.19  
% 17.72/3.19  
% 17.72/3.19  clauses                                 1558
% 17.72/3.19  conjectures                             6
% 17.72/3.19  EPR                                     63
% 17.72/3.19  Horn                                    1352
% 17.72/3.19  unary                                   638
% 17.72/3.19  binary                                  622
% 17.72/3.19  lits                                    2841
% 17.72/3.19  lits eq                                 1151
% 17.72/3.19  fd_pure                                 0
% 17.72/3.19  fd_pseudo                               0
% 17.72/3.19  fd_cond                                 122
% 17.72/3.19  fd_pseudo_cond                          71
% 17.72/3.19  AC symbols                              0
% 17.72/3.19  
% 17.72/3.19  ------ Input Options Time Limit: Unbounded
% 17.72/3.19  
% 17.72/3.19  
% 17.72/3.19  ------ 
% 17.72/3.19  Current options:
% 17.72/3.19  ------ 
% 17.72/3.19  
% 17.72/3.19  
% 17.72/3.19  
% 17.72/3.19  
% 17.72/3.19  ------ Proving...
% 17.72/3.19  
% 17.72/3.19  
% 17.72/3.19  % SZS status Unsatisfiable for theBenchmark.p
% 17.72/3.19  
% 17.72/3.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.72/3.19  
% 17.72/3.19  
%------------------------------------------------------------------------------