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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : NUM396+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n015.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 : Mon Jul 18 14:00:29 EDT 2022

% Result   : Theorem 4.19s 0.91s
% Output   : Proof 4.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ordinal(sK18),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_ordinal1)]) ).

cnf(g1,plain,
    ~ ordinal(succ(sK18)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_ordinal1)]) ).

cnf(g2,plain,
    ( ~ ordinal(sK18)
    | epsilon_transitive(sK18) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1)]) ).

cnf(g3,plain,
    ( ~ ordinal(sK18)
    | epsilon_connected(sK18) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1)]) ).

cnf(g4,plain,
    ( ~ epsilon_transitive(succ(sK18))
    | ~ epsilon_connected(succ(sK18))
    | ordinal(succ(sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1)]) ).

cnf(g5,plain,
    ( ~ in(sK3(succ(sK18)),sK4(succ(sK18)))
    | epsilon_connected(succ(sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1)]) ).

cnf(g6,plain,
    ( ~ sPE(sK3(succ(sK18)),sK4(succ(sK18)))
    | epsilon_connected(succ(sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1)]) ).

cnf(g7,plain,
    ( in(sK3(succ(sK18)),succ(sK18))
    | epsilon_connected(succ(sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1)]) ).

cnf(g8,plain,
    sPE(set_union2(sK18,sK18),sK18),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0)]) ).

cnf(g9,plain,
    ( ~ sPE(sK18,set_union2(sK18,sK18))
    | ~ sPE(set_union2(sK18,sK18),sK18)
    | sPE(sK18,sK18) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ sPE(succ(sK18),set_union2(sK18,singleton(sK18)))
    | sPE(set_union2(sK18,singleton(sK18)),succ(sK18)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    sPE(succ(sK18),set_union2(sK18,singleton(sK18))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1)]) ).

cnf(g12,plain,
    ( in(sK1(set_union2(sK18,singleton(sK18))),set_union2(sK18,singleton(sK18)))
    | epsilon_transitive(set_union2(sK18,singleton(sK18))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1)]) ).

cnf(g13,plain,
    ( ~ subset(sK1(set_union2(sK18,singleton(sK18))),set_union2(sK18,singleton(sK18)))
    | epsilon_transitive(set_union2(sK18,singleton(sK18))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1)]) ).

cnf(g14,plain,
    sPE(singleton(sK18),singleton(sK18)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( in(sK4(succ(sK18)),succ(sK18))
    | epsilon_connected(succ(sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1)]) ).

cnf(g16,plain,
    ( ~ in(sK4(succ(sK18)),sK3(succ(sK18)))
    | epsilon_connected(succ(sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1)]) ).

cnf(g17,plain,
    subset(sK18,sK18),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski)]) ).

cnf(g18,plain,
    ( ~ sPE(set_union2(sK18,singleton(sK18)),succ(sK18))
    | ~ epsilon_transitive(set_union2(sK18,singleton(sK18)))
    | epsilon_transitive(succ(sK18)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ subset(sK1(set_union2(sK18,singleton(sK18))),sK18)
    | ~ subset(sK18,set_union2(sK18,singleton(sK18)))
    | subset(sK1(set_union2(sK18,singleton(sK18))),set_union2(sK18,singleton(sK18))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1)]) ).

cnf(g20,plain,
    ( ~ sPE(sK3(succ(sK18)),set_union2(sK18,sK18))
    | ~ in(sK4(succ(sK18)),sK18)
    | in(sK4(succ(sK18)),sK3(succ(sK18))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0)]) ).

cnf(g21,plain,
    ( ~ sPE(sK3(succ(sK18)),sK18)
    | ~ sPE(sK18,set_union2(sK18,sK18))
    | sPE(sK3(succ(sK18)),set_union2(sK18,sK18)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(sK3(succ(sK18)),sK18)
    | ~ sPE(sK18,sK4(succ(sK18)))
    | sPE(sK3(succ(sK18)),sK4(succ(sK18))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ in(sK3(succ(sK18)),sK18)
    | ~ in(sK4(succ(sK18)),sK18)
    | ~ epsilon_connected(sK18)
    | sPE(sK3(succ(sK18)),sK4(succ(sK18)))
    | in(sK3(succ(sK18)),sK4(succ(sK18)))
    | in(sK4(succ(sK18)),sK3(succ(sK18))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1)]) ).

cnf(g24,plain,
    ( ~ sPE(sK4(succ(sK18)),set_union2(sK18,sK18))
    | ~ in(sK3(succ(sK18)),sK18)
    | in(sK3(succ(sK18)),sK4(succ(sK18))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0)]) ).

cnf(g25,plain,
    ( ~ sPE(succ(sK18),set_union2(sK18,singleton(sK18)))
    | ~ in(sK3(succ(sK18)),succ(sK18))
    | in(sK3(succ(sK18)),sK18)
    | in(sK3(succ(sK18)),singleton(sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0)]) ).

cnf(g26,plain,
    ( ~ sPE(singleton(sK18),singleton(sK18))
    | ~ in(sK3(succ(sK18)),singleton(sK18))
    | sPE(sK3(succ(sK18)),sK18) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski)]) ).

cnf(g27,plain,
    ( ~ sPE(succ(sK18),set_union2(sK18,singleton(sK18)))
    | ~ in(sK4(succ(sK18)),succ(sK18))
    | in(sK4(succ(sK18)),sK18)
    | in(sK4(succ(sK18)),singleton(sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0)]) ).

cnf(g28,plain,
    ( ~ sPE(singleton(sK18),singleton(sK18))
    | ~ in(sK4(succ(sK18)),singleton(sK18))
    | sPE(sK4(succ(sK18)),sK18) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski)]) ).

cnf(g29,plain,
    sPE(set_union2(sK18,singleton(sK18)),set_union2(sK18,singleton(sK18))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    ( ~ sPE(set_union2(sK18,sK18),sK18)
    | sPE(sK18,set_union2(sK18,sK18)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g31,plain,
    subset(sK18,set_union2(sK18,singleton(sK18))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1)]) ).

cnf(g32,plain,
    ( ~ sPE(sK18,sK1(set_union2(sK18,singleton(sK18))))
    | ~ sPE(sK18,sK18)
    | ~ subset(sK18,sK18)
    | subset(sK1(set_union2(sK18,singleton(sK18))),sK18) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ in(sK1(set_union2(sK18,singleton(sK18))),sK18)
    | ~ epsilon_transitive(sK18)
    | subset(sK1(set_union2(sK18,singleton(sK18))),sK18) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1)]) ).

cnf(g34,plain,
    ( ~ sPE(singleton(sK18),singleton(sK18))
    | ~ in(sK1(set_union2(sK18,singleton(sK18))),singleton(sK18))
    | sPE(sK1(set_union2(sK18,singleton(sK18))),sK18) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski)]) ).

cnf(g35,plain,
    ( ~ sPE(set_union2(sK18,singleton(sK18)),set_union2(sK18,singleton(sK18)))
    | ~ in(sK1(set_union2(sK18,singleton(sK18))),set_union2(sK18,singleton(sK18)))
    | in(sK1(set_union2(sK18,singleton(sK18))),sK18)
    | in(sK1(set_union2(sK18,singleton(sK18))),singleton(sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0)]) ).

cnf(g36,plain,
    ( ~ sPE(sK4(succ(sK18)),sK18)
    | sPE(sK18,sK4(succ(sK18))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g37,plain,
    ( ~ sPE(sK4(succ(sK18)),sK18)
    | ~ sPE(sK18,set_union2(sK18,sK18))
    | sPE(sK4(succ(sK18)),set_union2(sK18,sK18)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g38,plain,
    ( ~ sPE(sK1(set_union2(sK18,singleton(sK18))),sK18)
    | sPE(sK18,sK1(set_union2(sK18,singleton(sK18)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM396+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul  5 02:50:02 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 4.19/0.91  % symbols: 40
% 4.19/0.91  % clauses: 132
% 4.19/0.91  % start clauses: 2
% 4.19/0.91  % iterative deepening steps: 980
% 4.19/0.91  % maximum path limit: 5
% 4.19/0.91  % literal attempts: 1063917
% 4.19/0.91  % depth failures: 828766
% 4.19/0.91  % regularity failures: 54519
% 4.19/0.91  % tautology failures: 31322
% 4.19/0.91  % reductions: 14254
% 4.19/0.91  % extensions: 1048977
% 4.19/0.91  % SAT variables: 102185
% 4.19/0.91  % SAT clauses: 142735
% 4.19/0.91  % WalkSAT solutions: 142728
% 4.19/0.91  % CDCL solutions: 8
% 4.19/0.91  % SZS status Theorem for theBenchmark
% 4.19/0.91  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------