TSTP Solution File: SET919+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET919+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n023.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 05:04:57 EDT 2022

% Result   : Theorem 42.32s 5.78s
% Output   : Proof 42.32s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    in(sK5,sK6),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_zfmisc_1)]) ).

cnf(g1,plain,
    ( ~ in(sK7,sK6)
    | sPE(sK5,sK7) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_zfmisc_1)]) ).

cnf(g2,plain,
    ~ sPE(set_intersection2(unordered_pair(sK5,sK7),sK6),singleton(sK5)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_zfmisc_1)]) ).

cnf(g3,plain,
    ( ~ sPE(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),sK5)
    | sPE(set_intersection2(unordered_pair(sK5,sK7),sK6),singleton(sK5))
    | sP0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski)]) ).

cnf(g4,plain,
    ( sPE(set_intersection2(unordered_pair(sK5,sK7),sK6),singleton(sK5))
    | in(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),set_intersection2(unordered_pair(sK5,sK7),sK6))
    | sP0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski)]) ).

cnf(g5,plain,
    ( ~ sPE(sK5,sK7)
    | sPE(sK7,sK5) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ in(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),set_intersection2(unordered_pair(sK5,sK7),sK6))
    | ~ sP0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski)]) ).

cnf(g7,plain,
    ( sPE(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),sK5)
    | ~ sP0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski)]) ).

cnf(g8,plain,
    sPE(set_intersection2(unordered_pair(sK5,sK7),sK6),set_intersection2(sK6,unordered_pair(sK5,sK7))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).

cnf(g9,plain,
    sPE(sK5,sK5),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(set_intersection2(unordered_pair(sK7,sK5),unordered_pair(sK7,sK5)),unordered_pair(sK7,sK5)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0)]) ).

cnf(g11,plain,
    sPE(unordered_pair(sK5,sK7),unordered_pair(sK5,sK7)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sPE(set_intersection2(unordered_pair(sK5,sK7),sK6),set_intersection2(unordered_pair(sK5,sK7),sK6)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    sPE(unordered_pair(sK5,sK7),unordered_pair(sK7,sK5)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski)]) ).

cnf(g14,plain,
    ( ~ sPE(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),sK5)
    | sPE(sK5,sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    sPE(set_intersection2(sK6,unordered_pair(sK5,sK7)),set_intersection2(unordered_pair(sK5,sK7),sK6)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).

cnf(g16,plain,
    ( ~ sPE(set_intersection2(sK6,unordered_pair(sK5,sK7)),set_intersection2(unordered_pair(sK5,sK7),sK6))
    | ~ in(sK5,unordered_pair(sK5,sK7))
    | ~ in(sK5,sK6)
    | in(sK5,set_intersection2(sK6,unordered_pair(sK5,sK7))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g17,plain,
    sPE(unordered_pair(sK7,sK5),unordered_pair(sK5,sK7)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski)]) ).

cnf(g18,plain,
    ( ~ sPE(unordered_pair(sK5,sK7),unordered_pair(sK5,sK5))
    | ~ in(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),unordered_pair(sK5,sK7))
    | sPE(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),sK5)
    | sPE(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),sK5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski)]) ).

cnf(g19,plain,
    ( ~ sPE(sK5,sK5)
    | ~ sPE(sK7,sK5)
    | sPE(unordered_pair(sK5,sK7),unordered_pair(sK5,sK5)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(set_intersection2(unordered_pair(sK5,sK7),sK6),set_intersection2(sK6,unordered_pair(sK5,sK7)))
    | ~ in(sK7,set_intersection2(unordered_pair(sK5,sK7),sK6))
    | in(sK7,sK6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g21,plain,
    ( ~ sPE(set_intersection2(unordered_pair(sK5,sK7),sK6),set_intersection2(unordered_pair(sK5,sK7),sK6))
    | ~ in(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),set_intersection2(unordered_pair(sK5,sK7),sK6))
    | in(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),unordered_pair(sK5,sK7)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).

cnf(g22,plain,
    ( ~ sPE(unordered_pair(sK5,sK7),unordered_pair(sK5,sK7))
    | ~ sPE(sK5,sK7)
    | in(sK5,unordered_pair(sK5,sK7)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski)]) ).

cnf(g23,plain,
    ( ~ sPE(unordered_pair(sK5,sK7),unordered_pair(sK7,sK5))
    | ~ in(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),unordered_pair(sK5,sK7))
    | sPE(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),sK7)
    | sPE(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),sK5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski)]) ).

cnf(g24,plain,
    ( ~ sPE(sK5,sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)))
    | ~ sPE(set_intersection2(sK6,unordered_pair(sK5,sK7)),set_intersection2(unordered_pair(sK5,sK7),sK6))
    | ~ in(sK5,set_intersection2(sK6,unordered_pair(sK5,sK7)))
    | in(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),set_intersection2(unordered_pair(sK5,sK7),sK6)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(set_intersection2(unordered_pair(sK7,sK5),unordered_pair(sK7,sK5)),unordered_pair(sK7,sK5))
    | ~ sPE(unordered_pair(sK7,sK5),unordered_pair(sK5,sK7))
    | sPE(set_intersection2(unordered_pair(sK7,sK5),unordered_pair(sK7,sK5)),unordered_pair(sK5,sK7)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sPE(sK5,sK5)
    | ~ sPE(set_intersection2(unordered_pair(sK7,sK5),unordered_pair(sK7,sK5)),unordered_pair(sK5,sK7))
    | ~ in(sK5,set_intersection2(unordered_pair(sK7,sK5),unordered_pair(sK7,sK5)))
    | in(sK5,unordered_pair(sK5,sK7)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ sPE(set_intersection2(unordered_pair(sK7,sK5),unordered_pair(sK7,sK5)),unordered_pair(sK5,sK7))
    | ~ sPE(sK5,sK5)
    | in(sK5,set_intersection2(unordered_pair(sK7,sK5),unordered_pair(sK7,sK5))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski)]) ).

cnf(g28,plain,
    ( ~ sPE(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),sK7)
    | ~ sPE(set_intersection2(unordered_pair(sK5,sK7),sK6),set_intersection2(unordered_pair(sK5,sK7),sK6))
    | ~ in(sK0(sK5,set_intersection2(unordered_pair(sK5,sK7),sK6)),set_intersection2(unordered_pair(sK5,sK7),sK6))
    | in(sK7,set_intersection2(unordered_pair(sK5,sK7),sK6)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SET919+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15  % Command  : satcop --statistics %s
% 0.16/0.37  % Computer : n023.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Sat Jul  9 19:07:10 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 42.32/5.78  % symbols: 18
% 42.32/5.78  % clauses: 45
% 42.32/5.78  % start clauses: 3
% 42.32/5.78  % iterative deepening steps: 5539
% 42.32/5.78  % maximum path limit: 4
% 42.32/5.78  % literal attempts: 9289501
% 42.32/5.78  % depth failures: 7400770
% 42.32/5.78  % regularity failures: 110531
% 42.32/5.78  % tautology failures: 151954
% 42.32/5.78  % reductions: 486330
% 42.32/5.78  % extensions: 8796005
% 42.32/5.78  % SAT variables: 662770
% 42.32/5.78  % SAT clauses: 890049
% 42.32/5.78  % WalkSAT solutions: 890036
% 42.32/5.78  % CDCL solutions: 10
% 42.32/5.78  % SZS status Theorem for theBenchmark
% 42.32/5.78  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------