TSTP Solution File: SET825-2 by SATCoP---0.1

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n020.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 : Tue Jul 19 05:04:04 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    v_Q(v_n),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0)]) ).

cnf(g1,plain,
    ~ v_Q(v_m),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1)]) ).

cnf(g2,plain,
    ( ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
    | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
    | c_in(c_Pair(v_x(c_Relation_OId),v_xa(c_Relation_OId),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2)]) ).

cnf(g3,plain,
    c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdI_0)]) ).

cnf(g4,plain,
    ( ~ c_in(c_Pair(v_x(c_Relation_OId),v_xa(c_Relation_OId),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
    | sPE(v_x(c_Relation_OId),v_xa(c_Relation_OId)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0)]) ).

cnf(g5,plain,
    ( ~ c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
    | sPE(v_n,v_m) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0)]) ).

cnf(g6,plain,
    ( ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
    | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3)]) ).

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

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

cnf(g9,plain,
    sPE(tc_nat,tc_nat),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ sPE(v_n,v_m)
    | ~ v_Q(v_n)
    | v_Q(v_m) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ sPE(v_x(c_Relation_OId),v_xa(c_Relation_OId))
    | sPE(v_xa(c_Relation_OId),v_x(c_Relation_OId)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(v_xa(c_Relation_OId),v_x(c_Relation_OId))
    | sPE(c_Suc(v_xa(c_Relation_OId)),c_Suc(v_x(c_Relation_OId))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(c_Pair(c_Suc(v_xa(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId)),tc_nat,tc_nat),c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId)),tc_nat,tc_nat))
    | ~ sPE(c_Relation_OId,c_Relation_OId)
    | ~ sPE(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_Pair(c_Suc(v_xa(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
    | c_in(c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    c_in(c_Pair(c_Suc(v_xa(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdI_0)]) ).

cnf(g15,plain,
    ( ~ sPE(c_Suc(v_xa(c_Relation_OId)),c_Suc(v_x(c_Relation_OId)))
    | ~ sPE(c_Suc(v_xa(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId)))
    | ~ sPE(tc_nat,tc_nat)
    | ~ sPE(tc_nat,tc_nat)
    | sPE(c_Pair(c_Suc(v_xa(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId)),tc_nat,tc_nat),c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId)),tc_nat,tc_nat)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    sPE(c_Suc(v_xa(c_Relation_OId)),c_Suc(v_xa(c_Relation_OId))),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 06:07:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  % symbols: 14
% 0.12/0.35  % clauses: 16
% 0.12/0.35  % start clauses: 4
% 0.12/0.35  % iterative deepening steps: 143
% 0.12/0.35  % maximum path limit: 3
% 0.12/0.35  % literal attempts: 10124
% 0.12/0.35  % depth failures: 6734
% 0.12/0.35  % regularity failures: 124
% 0.12/0.35  % tautology failures: 710
% 0.12/0.35  % reductions: 224
% 0.12/0.35  % extensions: 9437
% 0.12/0.35  % SAT variables: 3010
% 0.12/0.35  % SAT clauses: 3347
% 0.12/0.35  % WalkSAT solutions: 3342
% 0.12/0.35  % CDCL solutions: 0
% 0.12/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.35  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------