TSTP Solution File: SET650+3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET650+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n013.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 05:02:54 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ilf_type(sK14,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_12)]) ).

cnf(g1,plain,
    ilf_type(sK15,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_12)]) ).

cnf(g2,plain,
    ilf_type(sK16,relation_type(sK14,sK15)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_12)]) ).

cnf(g3,plain,
    ( ~ subset(domain_of(sK16),sK14)
    | ~ subset(range_of(sK16),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_12)]) ).

cnf(g4,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK15,set_type)
    | ~ ilf_type(sK16,relation_type(sK14,sK15))
    | ilf_type(sK16,subset_type(cross_product(sK14,sK15))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8)]) ).

cnf(g5,plain,
    ( ~ ilf_type(domain_of(sK16),set_type)
    | ~ ilf_type(sK14,set_type)
    | ~ member(sK5(domain_of(sK16),sK14),sK14)
    | subset(domain_of(sK16),sK14) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10)]) ).

cnf(g6,plain,
    ( ~ ilf_type(domain_of(sK16),set_type)
    | ~ ilf_type(sK14,set_type)
    | member(sK5(domain_of(sK16),sK14),domain_of(sK16))
    | subset(domain_of(sK16),sK14) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10)]) ).

cnf(g7,plain,
    ( ~ ilf_type(domain_of(sK16),set_type)
    | ~ ilf_type(sK14,set_type)
    | ilf_type(sK5(domain_of(sK16),sK14),set_type)
    | subset(domain_of(sK16),sK14) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10)]) ).

cnf(g8,plain,
    ( ~ ilf_type(range_of(sK16),set_type)
    | ~ ilf_type(sK15,set_type)
    | member(sK5(range_of(sK16),sK15),range_of(sK16))
    | subset(range_of(sK16),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10)]) ).

cnf(g9,plain,
    ( ~ ilf_type(range_of(sK16),set_type)
    | ~ ilf_type(sK15,set_type)
    | ilf_type(sK5(range_of(sK16),sK15),set_type)
    | subset(range_of(sK16),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10)]) ).

cnf(g10,plain,
    ( ~ ilf_type(range_of(sK16),set_type)
    | ~ ilf_type(sK15,set_type)
    | ~ member(sK5(range_of(sK16),sK15),sK15)
    | subset(range_of(sK16),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10)]) ).

cnf(g11,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK15,set_type)
    | ~ ilf_type(sK16,subset_type(cross_product(sK14,sK15)))
    | relation_like(sK16) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23)]) ).

cnf(g12,plain,
    ilf_type(domain_of(sK16),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).

cnf(g13,plain,
    ilf_type(range_of(sK16),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).

cnf(g14,plain,
    ( ~ ilf_type(sK16,binary_relation_type)
    | ~ ilf_type(sK5(domain_of(sK16),sK14),set_type)
    | ~ member(sK5(domain_of(sK16),sK14),domain_of(sK16))
    | member(ordered_pair(sK5(domain_of(sK16),sK14),sK2(sK16,sK5(domain_of(sK16),sK14))),sK16) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4)]) ).

cnf(g15,plain,
    ( ~ ilf_type(range_of(sK16),set_type)
    | ~ ilf_type(sK15,set_type)
    | ~ ilf_type(sK5(range_of(sK16),sK15),set_type)
    | ~ member(range_of(sK16),power_set(sK15))
    | ~ member(sK5(range_of(sK16),sK15),range_of(sK16))
    | member(sK5(range_of(sK16),sK15),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18)]) ).

cnf(g16,plain,
    ( ~ ilf_type(sK16,binary_relation_type)
    | ~ ilf_type(sK8(range_of(sK16),sK15),set_type)
    | ~ member(sK8(range_of(sK16),sK15),range_of(sK16))
    | member(ordered_pair(sK3(sK16,sK8(range_of(sK16),sK15)),sK8(range_of(sK16),sK15)),sK16) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)]) ).

cnf(g17,plain,
    ( ~ ilf_type(range_of(sK16),set_type)
    | ~ ilf_type(sK15,set_type)
    | member(range_of(sK16),power_set(sK15))
    | member(sK8(range_of(sK16),sK15),range_of(sK16)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18)]) ).

cnf(g18,plain,
    ilf_type(sK8(range_of(sK16),sK15),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).

cnf(g19,plain,
    ( ~ ilf_type(sK16,set_type)
    | ~ relation_like(sK16)
    | ilf_type(sK16,binary_relation_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13)]) ).

cnf(g20,plain,
    ilf_type(sK16,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).

cnf(g21,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK15,set_type)
    | ~ ilf_type(sK5(domain_of(sK16),sK14),set_type)
    | ~ ilf_type(sK2(sK16,sK5(domain_of(sK16),sK14)),set_type)
    | ~ ilf_type(sK16,relation_type(sK14,sK15))
    | ~ member(ordered_pair(sK5(domain_of(sK16),sK14),sK2(sK16,sK5(domain_of(sK16),sK14))),sK16)
    | member(sK5(domain_of(sK16),sK14),sK14) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3)]) ).

cnf(g22,plain,
    ilf_type(sK2(sK16,sK5(domain_of(sK16),sK14)),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).

cnf(g23,plain,
    ( ~ ilf_type(range_of(sK16),set_type)
    | ~ ilf_type(sK15,set_type)
    | ~ member(sK8(range_of(sK16),sK15),sK15)
    | member(range_of(sK16),power_set(sK15)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18)]) ).

cnf(g24,plain,
    ( ~ ilf_type(sK14,set_type)
    | ~ ilf_type(sK15,set_type)
    | ~ ilf_type(sK3(sK16,sK8(range_of(sK16),sK15)),set_type)
    | ~ ilf_type(sK8(range_of(sK16),sK15),set_type)
    | ~ ilf_type(sK16,relation_type(sK14,sK15))
    | ~ member(ordered_pair(sK3(sK16,sK8(range_of(sK16),sK15)),sK8(range_of(sK16),sK15)),sK16)
    | member(sK8(range_of(sK16),sK15),sK15) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3)]) ).

cnf(g25,plain,
    ilf_type(sK3(sK16,sK8(range_of(sK16),sK15)),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET650+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n013.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 : Mon Jul 11 08:55:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.52  % symbols: 34
% 0.19/0.52  % clauses: 86
% 0.19/0.52  % start clauses: 4
% 0.19/0.52  % iterative deepening steps: 154
% 0.19/0.52  % maximum path limit: 3
% 0.19/0.52  % literal attempts: 286225
% 0.19/0.52  % depth failures: 261044
% 0.19/0.52  % regularity failures: 536
% 0.19/0.52  % tautology failures: 820
% 0.19/0.52  % reductions: 1518
% 0.19/0.52  % extensions: 284295
% 0.19/0.52  % SAT variables: 39286
% 0.19/0.52  % SAT clauses: 43852
% 0.19/0.52  % WalkSAT solutions: 43847
% 0.19/0.52  % CDCL solutions: 0
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------