TSTP Solution File: SET775+4 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET775+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n009.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 05:03:42 EDT 2022

% Result   : Theorem 11.96s 1.84s
% Output   : Proof 11.96s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    pre_order(sK21,sK20),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g1,plain,
    ~ equivalence(sK22,sK20),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g2,plain,
    ( ~ member(sK13(sK20,sK22),sK20)
    | ~ member(sK14(sK20,sK22),sK20)
    | ~ apply(sK22,sK13(sK20,sK22),sK14(sK20,sK22))
    | apply(sK21,sK14(sK20,sK22),sK13(sK20,sK22)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    ( apply(sK22,sK13(sK20,sK22),sK14(sK20,sK22))
    | ~ sP3(sK20,sK22) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g4,plain,
    ( ~ member(sK14(sK20,sK22),sK20)
    | ~ member(sK15(sK20,sK22),sK20)
    | ~ apply(sK22,sK14(sK20,sK22),sK15(sK20,sK22))
    | apply(sK21,sK15(sK20,sK22),sK14(sK20,sK22)) ),
    inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence_class)]) ).

cnf(g5,plain,
    ( apply(sK22,sK14(sK20,sK22),sK15(sK20,sK22))
    | ~ sP3(sK20,sK22) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g6,plain,
    ( ~ member(sK11(sK20,sK22),sK20)
    | ~ member(sK12(sK20,sK22),sK20)
    | ~ apply(sK22,sK11(sK20,sK22),sK12(sK20,sK22))
    | apply(sK21,sK12(sK20,sK22),sK11(sK20,sK22)) ),
    inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).

cnf(g7,plain,
    ( apply(sK22,sK11(sK20,sK22),sK12(sK20,sK22))
    | ~ sP2(sK20,sK22) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g8,plain,
    ( ~ apply(sK22,sK10(sK20,sK22),sK10(sK20,sK22))
    | equivalence(sK22,sK20)
    | sP2(sK20,sK22)
    | sP3(sK20,sK22) ),
    inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).

cnf(g9,plain,
    ( member(sK10(sK20,sK22),sK20)
    | equivalence(sK22,sK20)
    | sP2(sK20,sK22)
    | sP3(sK20,sK22) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ member(sK14(sK20,sK22),sK20)
    | ~ member(sK15(sK20,sK22),sK20)
    | ~ apply(sK22,sK14(sK20,sK22),sK15(sK20,sK22))
    | apply(sK21,sK14(sK20,sK22),sK15(sK20,sK22)) ),
    inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).

cnf(g11,plain,
    ( ~ member(sK13(sK20,sK22),sK20)
    | ~ member(sK14(sK20,sK22),sK20)
    | ~ apply(sK22,sK13(sK20,sK22),sK14(sK20,sK22))
    | apply(sK21,sK13(sK20,sK22),sK14(sK20,sK22)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g12,plain,
    ( ~ member(sK11(sK20,sK22),sK20)
    | ~ member(sK12(sK20,sK22),sK20)
    | ~ apply(sK22,sK11(sK20,sK22),sK12(sK20,sK22))
    | apply(sK21,sK11(sK20,sK22),sK12(sK20,sK22)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g13,plain,
    ( member(sK12(sK20,sK22),sK20)
    | ~ sP2(sK20,sK22) ),
    inference(ground_cnf,[],[file('Axioms/SET006+0.ax',intersection)]) ).

cnf(g14,plain,
    ( ~ member(sK13(sK20,sK22),sK20)
    | ~ member(sK15(sK20,sK22),sK20)
    | ~ apply(sK21,sK13(sK20,sK22),sK15(sK20,sK22))
    | ~ apply(sK21,sK15(sK20,sK22),sK13(sK20,sK22))
    | apply(sK22,sK13(sK20,sK22),sK15(sK20,sK22)) ),
    inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).

cnf(g15,plain,
    ( ~ apply(sK22,sK13(sK20,sK22),sK15(sK20,sK22))
    | ~ sP3(sK20,sK22) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g16,plain,
    ( ~ member(sK12(sK20,sK22),sK20)
    | ~ member(sK11(sK20,sK22),sK20)
    | ~ apply(sK21,sK12(sK20,sK22),sK11(sK20,sK22))
    | ~ apply(sK21,sK11(sK20,sK22),sK12(sK20,sK22))
    | apply(sK22,sK12(sK20,sK22),sK11(sK20,sK22)) ),
    inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).

cnf(g17,plain,
    ( ~ apply(sK22,sK12(sK20,sK22),sK11(sK20,sK22))
    | ~ sP2(sK20,sK22) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g18,plain,
    ( ~ member(sK10(sK20,sK22),sK20)
    | ~ member(sK10(sK20,sK22),sK20)
    | ~ apply(sK21,sK10(sK20,sK22),sK10(sK20,sK22))
    | ~ apply(sK21,sK10(sK20,sK22),sK10(sK20,sK22))
    | apply(sK22,sK10(sK20,sK22),sK10(sK20,sK22)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g19,plain,
    ( ~ member(sK10(sK20,sK22),sK20)
    | ~ pre_order(sK21,sK20)
    | apply(sK21,sK10(sK20,sK22),sK10(sK20,sK22)) ),
    inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).

cnf(g20,plain,
    ( member(sK11(sK20,sK22),sK20)
    | ~ sP2(sK20,sK22) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( member(sK14(sK20,sK22),sK20)
    | ~ sP3(sK20,sK22) ),
    inference(ground_cnf,[],[file('Axioms/SET006+0.ax',union)]) ).

cnf(g22,plain,
    ( member(sK15(sK20,sK22),sK20)
    | ~ sP3(sK20,sK22) ),
    inference(ground_cnf,[],[file('Axioms/SET006+0.ax',union)]) ).

cnf(g23,plain,
    ( member(sK13(sK20,sK22),sK20)
    | ~ sP3(sK20,sK22) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ member(sK15(sK20,sK22),sK20)
    | ~ member(sK13(sK20,sK22),sK20)
    | ~ apply(sK22,sK15(sK20,sK22),sK13(sK20,sK22))
    | apply(sK21,sK13(sK20,sK22),sK15(sK20,sK22)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g25,plain,
    ( ~ member(sK15(sK20,sK22),sK20)
    | ~ member(sK13(sK20,sK22),sK20)
    | ~ apply(sK22,sK15(sK20,sK22),sK13(sK20,sK22))
    | apply(sK21,sK15(sK20,sK22),sK13(sK20,sK22)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11)]) ).

cnf(g26,plain,
    ( ~ member(sK15(sK20,sK22),sK20)
    | ~ member(sK13(sK20,sK22),sK20)
    | ~ apply(sK21,sK15(sK20,sK22),sK13(sK20,sK22))
    | ~ apply(sK21,sK13(sK20,sK22),sK15(sK20,sK22))
    | apply(sK22,sK15(sK20,sK22),sK13(sK20,sK22)) ),
    inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).

cnf(g27,plain,
    ( ~ member(sK13(sK20,sK22),sK20)
    | ~ member(sK14(sK20,sK22),sK20)
    | ~ member(sK15(sK20,sK22),sK20)
    | ~ apply(sK21,sK13(sK20,sK22),sK14(sK20,sK22))
    | ~ apply(sK21,sK14(sK20,sK22),sK15(sK20,sK22))
    | ~ pre_order(sK21,sK20)
    | apply(sK21,sK13(sK20,sK22),sK15(sK20,sK22)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    ( ~ member(sK15(sK20,sK22),sK20)
    | ~ member(sK14(sK20,sK22),sK20)
    | ~ member(sK13(sK20,sK22),sK20)
    | ~ apply(sK21,sK15(sK20,sK22),sK14(sK20,sK22))
    | ~ apply(sK21,sK14(sK20,sK22),sK13(sK20,sK22))
    | ~ pre_order(sK21,sK20)
    | apply(sK21,sK15(sK20,sK22),sK13(sK20,sK22)) ),
    inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence_class)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET775+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n009.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 02:08:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 11.96/1.84  % symbols: 48
% 11.96/1.84  % clauses: 123
% 11.96/1.84  % start clauses: 5
% 11.96/1.84  % iterative deepening steps: 1291
% 11.96/1.84  % maximum path limit: 3
% 11.96/1.84  % literal attempts: 1625560
% 11.96/1.84  % depth failures: 1370596
% 11.96/1.84  % regularity failures: 28136
% 11.96/1.84  % tautology failures: 49300
% 11.96/1.84  % reductions: 46356
% 11.96/1.84  % extensions: 1574121
% 11.96/1.84  % SAT variables: 598358
% 11.96/1.84  % SAT clauses: 695147
% 11.96/1.84  % WalkSAT solutions: 695120
% 11.96/1.84  % CDCL solutions: 17
% 11.96/1.84  % SZS status Theorem for theBenchmark
% 11.96/1.84  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------