TSTP Solution File: SET683+3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET683+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n014.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 05:03:08 EDT 2022

% Result   : Theorem 0.19s 0.57s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ilf_type(sK10,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_50)]) ).

cnf(g1,plain,
    ~ empty(sK11),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_50)]) ).

cnf(g2,plain,
    ilf_type(sK11,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_50)]) ).

cnf(g3,plain,
    ilf_type(sK12,relation_type(sK11,sK10)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_50)]) ).

cnf(g4,plain,
    member(sK13,range(sK11,sK10,sK12)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_50)]) ).

cnf(g5,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ empty(power_set(sK11)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15)]) ).

cnf(g6,plain,
    ( ~ ilf_type(sK11,set_type)
    | ilf_type(power_set(sK11),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15)]) ).

cnf(g7,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(sK10,set_type)
    | ~ ilf_type(sK12,relation_type(sK11,sK10))
    | ilf_type(sK12,subset_type(cross_product(sK11,sK10))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2)]) ).

cnf(g8,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(sK10,set_type)
    | ~ ilf_type(sK12,relation_type(sK11,sK10))
    | ilf_type(domain(sK11,sK10,sK12),subset_type(sK11)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21)]) ).

cnf(g9,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(sK10,set_type)
    | ~ ilf_type(sK12,relation_type(sK11,sK10))
    | sPE(domain(sK11,sK10,sK12),domain_of(sK12)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20)]) ).

cnf(g10,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(sK10,set_type)
    | ~ ilf_type(sK12,relation_type(sK11,sK10))
    | sPE(range(sK11,sK10,sK12),range_of(sK12)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22)]) ).

cnf(g11,plain,
    ( ~ ilf_type(sK3(domain(sK11,sK10,sK12)),member_type(sK11))
    | ~ member(sK3(domain(sK11,sK10,sK12)),domain(sK11,sK10,sK12)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_50)]) ).

cnf(g12,plain,
    ( ~ ilf_type(domain(sK11,sK10,sK12),set_type)
    | member(sK3(domain(sK11,sK10,sK12)),domain(sK11,sK10,sK12))
    | empty(domain(sK11,sK10,sK12)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)]) ).

cnf(g13,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(sK10,set_type)
    | ~ ilf_type(sK12,subset_type(cross_product(sK11,sK10)))
    | relation_like(sK12) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18)]) ).

cnf(g14,plain,
    ilf_type(sK13,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24)]) ).

cnf(g15,plain,
    ( ~ ilf_type(sK11,set_type)
    | ~ ilf_type(domain(sK11,sK10,sK12),set_type)
    | ~ ilf_type(domain(sK11,sK10,sK12),subset_type(sK11))
    | ilf_type(domain(sK11,sK10,sK12),member_type(power_set(sK11))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12)]) ).

cnf(g16,plain,
    ( ~ sPE(domain(sK11,sK10,sK12),domain_of(sK12))
    | ~ empty(domain(sK11,sK10,sK12))
    | empty(domain_of(sK12)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ilf_type(domain(sK11,sK10,sK12),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24)]) ).

cnf(g18,plain,
    sPE(sK13,sK13),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(sK13,sK13)
    | ~ sPE(range(sK11,sK10,sK12),range_of(sK12))
    | ~ member(sK13,range(sK11,sK10,sK12))
    | member(sK13,range_of(sK12)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,binary_relation_type)
    | ~ member(sK13,range_of(sK12))
    | member(sK0(sK13,sK12),domain_of(sK12)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).

cnf(g21,plain,
    ( ~ ilf_type(sK13,set_type)
    | ~ ilf_type(sK12,binary_relation_type)
    | ~ member(sK13,range_of(sK12))
    | ilf_type(sK0(sK13,sK12),set_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)]) ).

cnf(g22,plain,
    ( ~ ilf_type(sK3(domain(sK11,sK10,sK12)),set_type)
    | ~ ilf_type(sK11,set_type)
    | ~ member(sK3(domain(sK11,sK10,sK12)),sK11)
    | ilf_type(sK3(domain(sK11,sK10,sK12)),member_type(sK11))
    | empty(sK11) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4)]) ).

cnf(g23,plain,
    ilf_type(sK3(domain(sK11,sK10,sK12)),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24)]) ).

cnf(g24,plain,
    ilf_type(domain_of(sK12),set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24)]) ).

cnf(g25,plain,
    ( ~ ilf_type(domain(sK11,sK10,sK12),set_type)
    | ~ ilf_type(domain(sK11,sK10,sK12),member_type(power_set(sK11)))
    | ~ ilf_type(power_set(sK11),set_type)
    | member(domain(sK11,sK10,sK12),power_set(sK11))
    | empty(power_set(sK11)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4)]) ).

cnf(g26,plain,
    ilf_type(sK12,set_type),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24)]) ).

cnf(g27,plain,
    ( ~ ilf_type(sK12,set_type)
    | ~ relation_like(sK12)
    | ilf_type(sK12,binary_relation_type) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10)]) ).

cnf(g28,plain,
    ( ~ ilf_type(domain_of(sK12),set_type)
    | ~ ilf_type(sK0(sK13,sK12),set_type)
    | ~ member(sK0(sK13,sK12),domain_of(sK12))
    | ~ empty(domain_of(sK12)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)]) ).

cnf(g29,plain,
    ( ~ ilf_type(domain(sK11,sK10,sK12),set_type)
    | ~ ilf_type(sK11,set_type)
    | ~ ilf_type(sK3(domain(sK11,sK10,sK12)),set_type)
    | ~ member(domain(sK11,sK10,sK12),power_set(sK11))
    | ~ member(sK3(domain(sK11,sK10,sK12)),domain(sK11,sK10,sK12))
    | member(sK3(domain(sK11,sK10,sK12)),sK11) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET683+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n014.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 : Sun Jul 10 00:17:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.57  % symbols: 32
% 0.19/0.57  % clauses: 74
% 0.19/0.57  % start clauses: 8
% 0.19/0.57  % iterative deepening steps: 222
% 0.19/0.57  % maximum path limit: 3
% 0.19/0.57  % literal attempts: 495885
% 0.19/0.57  % depth failures: 444303
% 0.19/0.57  % regularity failures: 2943
% 0.19/0.57  % tautology failures: 1653
% 0.19/0.57  % reductions: 5121
% 0.19/0.57  % extensions: 489612
% 0.19/0.57  % SAT variables: 95819
% 0.19/0.57  % SAT clauses: 94358
% 0.19/0.57  % WalkSAT solutions: 94358
% 0.19/0.57  % CDCL solutions: 0
% 0.19/0.57  % SZS status Theorem for theBenchmark
% 0.19/0.57  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------