TSTP Solution File: LAT276-2 by SATCoP---0.1

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n026.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  : 600s
% DateTime : Sun Jul 17 06:39:49 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0)]) ).

cnf(g1,plain,
    ( c_in(v_xa,v_S,t_a)
    | c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3)]) ).

cnf(g2,plain,
    ( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
    | c_in(v_xa,v_S,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4)]) ).

cnf(g3,plain,
    ( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6)]) ).

cnf(g4,plain,
    ( ~ c_lessequals(v_S,v_A,tc_set(t_a))
    | ~ c_in(v_xa,v_S,t_a)
    | c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0)]) ).

cnf(g5,plain,
    ( ~ c_lessequals(v_S,v_A,tc_set(t_a))
    | ~ c_in(v_xa,v_S,t_a)
    | c_in(v_xa,v_A,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0)]) ).

cnf(g6,plain,
    sPE(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    sPE(t_a,t_a),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    sPE(v_xa,v_xa),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    sPE(v_r,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0)]) ).

cnf(g10,plain,
    ( ~ sPE(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a))
    | ~ sPE(v_r,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))
    | ~ sPE(tc_prod(t_a,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    sPE(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sPE(v_A,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0)]) ).

cnf(g13,plain,
    ( ~ c_lessequals(v_S,v_A,tc_set(t_a))
    | ~ c_in(v_xa,v_A,t_a)
    | ~ c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1)]) ).

cnf(g14,plain,
    ( ~ c_lessequals(v_S,v_A,tc_set(t_a))
    | ~ c_in(v_xa,v_A,t_a)
    | c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0)]) ).

cnf(g15,plain,
    sPE(tc_prod(t_a,t_a),tc_prod(t_a,t_a)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a))
    | ~ sPE(v_r,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))
    | ~ sPE(tc_prod(t_a,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(v_xa,v_xa)
    | ~ sPE(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_A)
    | ~ sPE(t_a,t_a)
    | ~ c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
    | c_in(v_xa,v_A,t_a) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(v_A,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit))
    | sPE(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_A) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
    | c_in(v_xa,v_S,t_a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9)]) ).

cnf(g20,plain,
    ( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
    | ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10)]) ).

cnf(g21,plain,
    ( ~ sPE(v_r,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))
    | sPE(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),v_r) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a))
    | ~ sPE(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),v_r)
    | ~ sPE(tc_prod(t_a,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    sPE(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a)),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n026.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  : 600
% 0.13/0.34  % DateTime : Wed Jun 29 15:31:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  % symbols: 18
% 0.13/0.37  % clauses: 24
% 0.13/0.37  % start clauses: 6
% 0.13/0.37  % iterative deepening steps: 167
% 0.13/0.37  % maximum path limit: 3
% 0.13/0.37  % literal attempts: 21651
% 0.13/0.37  % depth failures: 13586
% 0.13/0.37  % regularity failures: 134
% 0.13/0.37  % tautology failures: 2123
% 0.13/0.37  % reductions: 278
% 0.13/0.37  % extensions: 20393
% 0.13/0.37  % SAT variables: 2167
% 0.13/0.37  % SAT clauses: 3336
% 0.13/0.37  % WalkSAT solutions: 3331
% 0.13/0.37  % CDCL solutions: 0
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------