TSTP Solution File: SEU270+2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SEU270+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n005.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 14:13:23 EDT 2022

% Result   : Theorem 13.73s 2.20s
% Output   : Proof 13.73s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ordinal(sK125),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_wellord2)]) ).

cnf(g1,plain,
    ~ connected(inclusion_relation(sK125)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_wellord2)]) ).

cnf(g2,plain,
    ( ~ ordinal(sK125)
    | ~ ordinal(sK125)
    | ordinal_subset(sK125,sK125)
    | ordinal_subset(sK125,sK125) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_r1_ordinal1)]) ).

cnf(g3,plain,
    ( ~ ordinal(sK125)
    | ~ ordinal(sK125)
    | ~ ordinal_subset(sK125,sK125)
    | subset(sK125,sK125) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1)]) ).

cnf(g4,plain,
    ( ~ relation(inclusion_relation(sK125))
    | in(sK94(inclusion_relation(sK125)),relation_field(inclusion_relation(sK125)))
    | connected(inclusion_relation(sK125)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1)]) ).

cnf(g5,plain,
    ( ~ sPE(sK94(inclusion_relation(sK125)),sK95(inclusion_relation(sK125)))
    | ~ relation(inclusion_relation(sK125))
    | connected(inclusion_relation(sK125)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1)]) ).

cnf(g6,plain,
    ( ~ relation(inclusion_relation(sK125))
    | in(sK95(inclusion_relation(sK125)),relation_field(inclusion_relation(sK125)))
    | connected(inclusion_relation(sK125)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1)]) ).

cnf(g7,plain,
    ( ~ in(ordered_pair(sK94(inclusion_relation(sK125)),sK95(inclusion_relation(sK125))),inclusion_relation(sK125))
    | ~ relation(inclusion_relation(sK125))
    | connected(inclusion_relation(sK125)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1)]) ).

cnf(g8,plain,
    ( ~ in(ordered_pair(sK95(inclusion_relation(sK125)),sK94(inclusion_relation(sK125))),inclusion_relation(sK125))
    | ~ relation(inclusion_relation(sK125))
    | connected(inclusion_relation(sK125)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1)]) ).

cnf(g9,plain,
    relation(inclusion_relation(sK125)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_wellord2)]) ).

cnf(g10,plain,
    ( ~ sPE(relation_field(inclusion_relation(sK125)),set_intersection2(sK125,sK125))
    | ~ in(sK95(inclusion_relation(sK125)),relation_field(inclusion_relation(sK125)))
    | in(sK95(inclusion_relation(sK125)),sK125) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g11,plain,
    ( ~ sPE(inclusion_relation(sK125),inclusion_relation(sK125))
    | ~ in(sK94(inclusion_relation(sK125)),sK125)
    | ~ in(sK95(inclusion_relation(sK125)),sK125)
    | ~ relation(inclusion_relation(sK125))
    | ~ subset(sK94(inclusion_relation(sK125)),sK95(inclusion_relation(sK125)))
    | in(ordered_pair(sK94(inclusion_relation(sK125)),sK95(inclusion_relation(sK125))),inclusion_relation(sK125)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord2)]) ).

cnf(g12,plain,
    ( ~ sPE(relation_field(inclusion_relation(sK125)),set_intersection2(sK125,sK125))
    | ~ in(sK94(inclusion_relation(sK125)),relation_field(inclusion_relation(sK125)))
    | in(sK94(inclusion_relation(sK125)),sK125) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g13,plain,
    ( ~ ordinal(sK94(inclusion_relation(sK125)))
    | ~ ordinal(sK95(inclusion_relation(sK125)))
    | sPE(sK94(inclusion_relation(sK125)),sK95(inclusion_relation(sK125)))
    | in(sK94(inclusion_relation(sK125)),sK95(inclusion_relation(sK125)))
    | in(sK95(inclusion_relation(sK125)),sK94(inclusion_relation(sK125))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1)]) ).

cnf(g14,plain,
    ( ~ sPE(inclusion_relation(sK125),inclusion_relation(sK125))
    | ~ in(sK95(inclusion_relation(sK125)),sK125)
    | ~ in(sK94(inclusion_relation(sK125)),sK125)
    | ~ relation(inclusion_relation(sK125))
    | ~ subset(sK95(inclusion_relation(sK125)),sK94(inclusion_relation(sK125)))
    | in(ordered_pair(sK95(inclusion_relation(sK125)),sK94(inclusion_relation(sK125))),inclusion_relation(sK125)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord2)]) ).

cnf(g15,plain,
    ( ~ subset(sK125,sK125)
    | ~ subset(sK125,sK125)
    | subset(sK125,set_intersection2(sK125,sK125)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1)]) ).

cnf(g16,plain,
    ( ~ subset(sK125,sK125)
    | ~ subset(sK125,sK125)
    | sPE(sK125,sK125) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0)]) ).

cnf(g17,plain,
    ( ~ subset(sK125,sK125)
    | sPE(set_intersection2(sK125,sK125),sK125) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1)]) ).

cnf(g18,plain,
    ( ~ sPE(sK125,sK125)
    | sPE(inclusion_relation(sK125),inclusion_relation(sK125)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(set_intersection2(sK125,sK125),sK125)
    | subset(set_intersection2(sK125,sK125),sK125) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0)]) ).

cnf(g20,plain,
    ( ~ in(sK95(inclusion_relation(sK125)),sK125)
    | ~ ordinal(sK125)
    | ordinal(sK95(inclusion_relation(sK125))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1)]) ).

cnf(g21,plain,
    ( ~ in(sK94(inclusion_relation(sK125)),sK125)
    | ~ ordinal(sK125)
    | ordinal(sK94(inclusion_relation(sK125))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1)]) ).

cnf(g22,plain,
    ( ~ in(sK94(inclusion_relation(sK125)),sK95(inclusion_relation(sK125)))
    | ~ epsilon_transitive(sK95(inclusion_relation(sK125)))
    | subset(sK94(inclusion_relation(sK125)),sK95(inclusion_relation(sK125))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1)]) ).

cnf(g23,plain,
    ( ~ in(sK95(inclusion_relation(sK125)),sK94(inclusion_relation(sK125)))
    | ~ epsilon_transitive(sK94(inclusion_relation(sK125)))
    | subset(sK95(inclusion_relation(sK125)),sK94(inclusion_relation(sK125))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1)]) ).

cnf(g24,plain,
    ( ~ sPE(relation_field(inclusion_relation(sK125)),sK125)
    | ~ sPE(sK125,set_intersection2(sK125,sK125))
    | sPE(relation_field(inclusion_relation(sK125)),set_intersection2(sK125,sK125)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ subset(sK125,set_intersection2(sK125,sK125))
    | ~ subset(set_intersection2(sK125,sK125),sK125)
    | sPE(sK125,set_intersection2(sK125,sK125)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0)]) ).

cnf(g26,plain,
    ( ~ sPE(inclusion_relation(sK125),inclusion_relation(sK125))
    | ~ relation(inclusion_relation(sK125))
    | sPE(relation_field(inclusion_relation(sK125)),sK125) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord2)]) ).

cnf(g27,plain,
    ( ~ ordinal(sK95(inclusion_relation(sK125)))
    | epsilon_transitive(sK95(inclusion_relation(sK125))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1)]) ).

cnf(g28,plain,
    ( ~ ordinal(sK94(inclusion_relation(sK125)))
    | epsilon_transitive(sK94(inclusion_relation(sK125))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_ordinal1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU270+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n005.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 : Sun Jun 19 07:43:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 13.73/2.20  % symbols: 234
% 13.73/2.20  % clauses: 982
% 13.73/2.20  % start clauses: 2
% 13.73/2.20  % iterative deepening steps: 2201
% 13.73/2.20  % maximum path limit: 3
% 13.73/2.20  % literal attempts: 2697960
% 13.73/2.20  % depth failures: 2509191
% 13.73/2.20  % regularity failures: 23628
% 13.73/2.20  % tautology failures: 21522
% 13.73/2.20  % reductions: 65080
% 13.73/2.20  % extensions: 2631864
% 13.73/2.20  % SAT variables: 860298
% 13.73/2.20  % SAT clauses: 833878
% 13.73/2.20  % WalkSAT solutions: 833847
% 13.73/2.20  % CDCL solutions: 32
% 13.73/2.20  % SZS status Theorem for theBenchmark
% 13.73/2.20  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------