TSTP Solution File: SET902+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n021.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 05:04:49 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    sPE(singleton(sK2),set_union2(sK3,sK4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_zfmisc_1)]) ).

cnf(g1,plain,
    ( ~ sPE(sK3,singleton(sK2))
    | ~ sPE(sK4,singleton(sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_zfmisc_1)]) ).

cnf(g2,plain,
    ( ~ sPE(sK3,empty_set)
    | ~ sPE(sK4,singleton(sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_zfmisc_1)]) ).

cnf(g3,plain,
    ( ~ sPE(sK3,singleton(sK2))
    | ~ sPE(sK4,empty_set) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_zfmisc_1)]) ).

cnf(g4,plain,
    ( ~ sPE(singleton(sK2),set_union2(sK3,sK4))
    | sPE(set_union2(sK3,sK4),singleton(sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ subset(sK3,singleton(sK2))
    | sPE(sK3,empty_set)
    | sPE(sK3,singleton(sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1)]) ).

cnf(g6,plain,
    ( ~ subset(sK4,singleton(sK2))
    | sPE(sK4,empty_set)
    | sPE(sK4,singleton(sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1)]) ).

cnf(g7,plain,
    sPE(sK3,sK3),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    sPE(sK4,sK4),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    sPE(set_union2(sK4,sK3),set_union2(sK3,sK4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0)]) ).

cnf(g10,plain,
    ( ~ sPE(set_union2(sK4,sK3),set_union2(sK3,sK4))
    | ~ sPE(set_union2(sK3,sK4),singleton(sK2))
    | sPE(set_union2(sK4,sK3),singleton(sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    subset(sK3,set_union2(sK3,sK4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1)]) ).

cnf(g12,plain,
    ( ~ sPE(sK3,sK3)
    | ~ sPE(set_union2(sK3,sK4),singleton(sK2))
    | ~ subset(sK3,set_union2(sK3,sK4))
    | subset(sK3,singleton(sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    sPE(set_union2(sK4,sK4),sK4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0)]) ).

cnf(g14,plain,
    ( ~ sPE(sK4,set_union2(sK4,sK4))
    | ~ sPE(set_union2(sK4,sK4),singleton(sK2))
    | sPE(sK4,singleton(sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ sPE(set_union2(sK4,sK4),sK4)
    | sPE(sK4,set_union2(sK4,sK4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(singleton(sK2),set_union2(sK3,sK4))
    | ~ sPE(set_union2(sK3,sK4),set_union2(empty_set,sK4))
    | sPE(singleton(sK2),set_union2(empty_set,sK4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(sK3,empty_set)
    | ~ sPE(sK4,sK4)
    | sPE(set_union2(sK3,sK4),set_union2(empty_set,sK4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(singleton(sK2),set_union2(empty_set,sK4))
    | ~ sPE(set_union2(empty_set,sK4),set_union2(sK4,empty_set))
    | sPE(singleton(sK2),set_union2(sK4,empty_set)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    sPE(set_union2(empty_set,sK4),set_union2(sK4,empty_set)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0)]) ).

cnf(g20,plain,
    ( ~ sPE(singleton(sK2),set_union2(sK4,empty_set))
    | sPE(set_union2(sK4,empty_set),singleton(sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(set_union2(sK4,sK4),set_union2(sK4,empty_set))
    | ~ sPE(set_union2(sK4,empty_set),singleton(sK2))
    | sPE(set_union2(sK4,sK4),singleton(sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(sK4,sK4)
    | ~ sPE(sK4,empty_set)
    | sPE(set_union2(sK4,sK4),set_union2(sK4,empty_set)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    subset(sK4,set_union2(sK4,sK3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1)]) ).

cnf(g24,plain,
    ( ~ sPE(sK4,sK4)
    | ~ sPE(set_union2(sK4,sK3),singleton(sK2))
    | ~ subset(sK4,set_union2(sK4,sK3))
    | subset(sK4,singleton(sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n021.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 Jul 10 02:15:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.51  % symbols: 12
% 0.19/0.51  % clauses: 24
% 0.19/0.51  % start clauses: 4
% 0.19/0.51  % iterative deepening steps: 331
% 0.19/0.51  % maximum path limit: 4
% 0.19/0.51  % literal attempts: 140409
% 0.19/0.51  % depth failures: 78604
% 0.19/0.51  % regularity failures: 7000
% 0.19/0.51  % tautology failures: 9469
% 0.19/0.51  % reductions: 23353
% 0.19/0.51  % extensions: 115966
% 0.19/0.51  % SAT variables: 15299
% 0.19/0.51  % SAT clauses: 23949
% 0.19/0.51  % WalkSAT solutions: 23946
% 0.19/0.51  % CDCL solutions: 0
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------