TSTP Solution File: SET671+3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET671+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n026.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 05:03:02 EDT 2022

% Result   : Theorem 262.19s 33.51s
% Output   : Proof 262.83s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ilf_type(sK12,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_34)]) ).

cnf(g1,plain,
    ilf_type(sK13,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_34)]) ).

cnf(g2,plain,
    ilf_type(sK14,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_34)]) ).

cnf(g3,plain,
    ilf_type(sK15,relation_type(sK13,sK12)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_34)]) ).

cnf(g4,plain,
    subset(sK13,sK14),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_34)]) ).

cnf(g5,plain,
    ~ sPE(restrict4(sK13,sK12,sK15,sK14),sK15),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_34)]) ).

cnf(g6,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK15,relation_type(sK13,sK12))
    | ilf_type(sK15,subset_type(cross_product(sK13,sK12))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4)]) ).

cnf(g7,plain,
    ( ~ ilf_type(restrict4(sK13,sK12,sK15,sK14),binary_relation_type)
    | ~ ilf_type(sK15,binary_relation_type)
    | sPE(restrict4(sK13,sK12,sK15,sK14),sK15)
    | member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),restrict4(sK13,sK12,sK15,sK14))
    | sP0(restrict4(sK13,sK12,sK15,sK14),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).

cnf(g8,plain,
    ( ~ ilf_type(restrict4(sK13,sK12,sK15,sK14),binary_relation_type)
    | ~ ilf_type(sK15,binary_relation_type)
    | ~ member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),sK15)
    | sPE(restrict4(sK13,sK12,sK15,sK14),sK15)
    | sP0(restrict4(sK13,sK12,sK15,sK14),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).

cnf(g9,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK15,subset_type(cross_product(sK13,sK12)))
    | relation_like(sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22)]) ).

cnf(g10,plain,
    ( ~ ilf_type(restrict4(sK13,sK12,sK15,sK14),set_type)
    | ~ relation_like(restrict4(sK13,sK12,sK15,sK14))
    | ilf_type(restrict4(sK13,sK12,sK15,sK14),binary_relation_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10)]) ).

cnf(g11,plain,
    ( ~ ilf_type(sK15,set_type)
    | ~ relation_like(sK15)
    | ilf_type(sK15,binary_relation_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10)]) ).

cnf(g12,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK15,relation_type(sK13,sK12))
    | ~ ilf_type(sK14,set_type)
    | sPE(restrict4(sK13,sK12,sK15,sK14),restrict(sK15,sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25)]) ).

cnf(g13,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK15,relation_type(sK13,sK12))
    | ~ ilf_type(sK14,set_type)
    | ilf_type(restrict4(sK13,sK12,sK15,sK14),relation_type(sK13,sK12)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26)]) ).

cnf(g14,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(restrict4(sK13,sK12,sK15,sK14),relation_type(sK13,sK12))
    | ilf_type(restrict4(sK13,sK12,sK15,sK14),subset_type(cross_product(sK13,sK12))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4)]) ).

cnf(g15,plain,
    ( member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),sK15)
    | ~ sP0(restrict4(sK13,sK12,sK15,sK14),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).

cnf(g16,plain,
    ilf_type(sK15,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27)]) ).

cnf(g17,plain,
    ilf_type(restrict4(sK13,sK12,sK15,sK14),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27)]) ).

cnf(g18,plain,
    ilf_type(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27)]) ).

cnf(g19,plain,
    ilf_type(sK1(restrict4(sK13,sK12,sK15,sK14),sK15),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27)]) ).

cnf(g20,plain,
    ( ~ ilf_type(sK15,binary_relation_type)
    | ~ ilf_type(sK14,set_type)
    | ilf_type(restrict(sK15,sK14),binary_relation_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9)]) ).

cnf(g21,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(sK1(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(restrict4(sK13,sK12,sK15,sK14),relation_type(sK13,sK12))
    | ~ member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),restrict4(sK13,sK12,sK15,sK14))
    | member(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK13) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3)]) ).

cnf(g22,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(sK1(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(sK15,relation_type(sK13,sK12))
    | ~ member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),sK15)
    | member(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK13) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3)]) ).

cnf(g23,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,set_type)
    | ~ ilf_type(restrict4(sK13,sK12,sK15,sK14),subset_type(cross_product(sK13,sK12)))
    | relation_like(restrict4(sK13,sK12,sK15,sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22)]) ).

cnf(g24,plain,
    ( ~ member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),restrict4(sK13,sK12,sK15,sK14))
    | ~ sP0(restrict4(sK13,sK12,sK15,sK14),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).

cnf(g25,plain,
    ( ~ sPE(restrict4(sK13,sK12,sK15,sK14),restrict(sK15,sK14))
    | ~ ilf_type(restrict4(sK13,sK12,sK15,sK14),binary_relation_type)
    | ~ ilf_type(restrict(sK15,sK14),binary_relation_type)
    | ~ ilf_type(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(sK1(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),restrict4(sK13,sK12,sK15,sK14))
    | member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),restrict(sK15,sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).

cnf(g26,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(sK1(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(sK15,binary_relation_type)
    | ~ member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),restrict(sK15,sK14))
    | member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2)]) ).

cnf(g27,plain,
    ( ~ sPE(restrict4(sK13,sK12,sK15,sK14),restrict(sK15,sK14))
    | ~ ilf_type(restrict4(sK13,sK12,sK15,sK14),binary_relation_type)
    | ~ ilf_type(restrict(sK15,sK14),binary_relation_type)
    | ~ ilf_type(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(sK1(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),restrict(sK15,sK14))
    | member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),restrict4(sK13,sK12,sK15,sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)]) ).

cnf(g28,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(sK1(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ ilf_type(sK15,binary_relation_type)
    | ~ member(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK14)
    | ~ member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),sK15)
    | member(ordered_pair(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK1(restrict4(sK13,sK12,sK15,sK14),sK15)),restrict(sK15,sK14)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2)]) ).

cnf(g29,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),set_type)
    | ~ member(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK13)
    | ~ subset(sK13,sK14)
    | member(sK0(restrict4(sK13,sK12,sK15,sK14),sK15),sK14) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET671+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 21:02:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 262.19/33.51  % symbols: 34
% 262.19/33.51  % clauses: 88
% 262.19/33.51  % start clauses: 6
% 262.19/33.51  % iterative deepening steps: 2531
% 262.19/33.51  % maximum path limit: 4
% 262.19/33.51  % literal attempts: 29774453
% 262.19/33.51  % depth failures: 27226026
% 262.19/33.51  % regularity failures: 168854
% 262.19/33.51  % tautology failures: 297408
% 262.19/33.51  % reductions: 247127
% 262.19/33.51  % extensions: 29521882
% 262.19/33.51  % SAT variables: 1451478
% 262.19/33.51  % SAT clauses: 1639152
% 262.19/33.51  % WalkSAT solutions: 1637818
% 262.19/33.51  % CDCL solutions: 1328
% 262.19/33.51  % SZS status Theorem for theBenchmark
% 262.19/33.51  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------