TSTP Solution File: SEU014+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SEU014+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n024.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 14:11:16 EDT 2022

% Result   : Theorem 22.66s 3.31s
% Output   : Proof 22.66s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    relation(sK11),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1)]) ).

cnf(g1,plain,
    function(sK11),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1)]) ).

cnf(g2,plain,
    relation(sK12),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1)]) ).

cnf(g3,plain,
    function(sK12),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1)]) ).

cnf(g4,plain,
    one_to_one(relation_composition(sK12,sK11)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1)]) ).

cnf(g5,plain,
    subset(relation_rng(sK12),relation_dom(sK11)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1)]) ).

cnf(g6,plain,
    ~ one_to_one(sK12),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1)]) ).

cnf(g7,plain,
    ( ~ function(sK12)
    | ~ function(sK11)
    | ~ relation(sK12)
    | ~ relation(sK11)
    | relation(relation_composition(sK12,sK11)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1)]) ).

cnf(g8,plain,
    ( ~ relation(sK12)
    | ~ relation(sK11)
    | ~ subset(relation_rng(sK12),relation_dom(sK11))
    | sPE(relation_dom(relation_composition(sK12,sK11)),relation_dom(sK12)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_relat_1)]) ).

cnf(g9,plain,
    ( ~ function(sK12)
    | ~ function(sK11)
    | ~ relation(sK12)
    | ~ relation(sK11)
    | function(relation_composition(sK12,sK11)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1)]) ).

cnf(g10,plain,
    ( ~ function(sK12)
    | ~ relation(sK12)
    | sPE(apply(sK12,sK0(sK12)),apply(sK12,sK1(sK12)))
    | one_to_one(sK12) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1)]) ).

cnf(g11,plain,
    ( ~ sPE(sK0(sK12),sK1(sK12))
    | ~ function(sK12)
    | ~ relation(sK12)
    | one_to_one(sK12) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1)]) ).

cnf(g12,plain,
    ( ~ function(sK12)
    | ~ relation(sK12)
    | in(sK0(sK12),relation_dom(sK12))
    | one_to_one(sK12) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1)]) ).

cnf(g13,plain,
    ( ~ function(sK12)
    | ~ relation(sK12)
    | in(sK1(sK12),relation_dom(sK12))
    | one_to_one(sK12) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1)]) ).

cnf(g14,plain,
    ( ~ sPE(relation_dom(relation_composition(sK12,sK11)),relation_dom(sK12))
    | sPE(relation_dom(sK12),relation_dom(relation_composition(sK12,sK11))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ in(sK1(sK12),relation_dom(sK12))
    | ~ function(sK12)
    | ~ function(sK11)
    | ~ relation(sK12)
    | ~ relation(sK11)
    | sPE(apply(relation_composition(sK12,sK11),sK1(sK12)),apply(sK11,apply(sK12,sK1(sK12)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1)]) ).

cnf(g16,plain,
    ( ~ in(sK0(sK12),relation_dom(sK12))
    | ~ function(sK12)
    | ~ function(sK11)
    | ~ relation(sK12)
    | ~ relation(sK11)
    | sPE(apply(relation_composition(sK12,sK11),sK0(sK12)),apply(sK11,apply(sK12,sK0(sK12)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1)]) ).

cnf(g17,plain,
    ( ~ sPE(sK0(sK12),sK0(sK12))
    | ~ sPE(relation_dom(sK12),relation_dom(relation_composition(sK12,sK11)))
    | ~ in(sK0(sK12),relation_dom(sK12))
    | in(sK0(sK12),relation_dom(relation_composition(sK12,sK11))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    sPE(sK0(sK12),sK0(sK12)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(apply(relation_composition(sK12,sK11),sK0(sK12)),apply(relation_composition(sK12,sK11),sK1(sK12)))
    | ~ in(sK0(sK12),relation_dom(relation_composition(sK12,sK11)))
    | ~ in(sK1(sK12),relation_dom(relation_composition(sK12,sK11)))
    | ~ function(relation_composition(sK12,sK11))
    | ~ relation(relation_composition(sK12,sK11))
    | ~ one_to_one(relation_composition(sK12,sK11))
    | sPE(sK0(sK12),sK1(sK12)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1)]) ).

cnf(g20,plain,
    ( ~ sPE(apply(relation_composition(sK12,sK11),sK1(sK12)),apply(relation_composition(sK12,sK11),sK0(sK12)))
    | sPE(apply(relation_composition(sK12,sK11),sK0(sK12)),apply(relation_composition(sK12,sK11),sK1(sK12))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    sPE(sK11,sK11),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    sPE(sK1(sK12),sK1(sK12)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ sPE(sK1(sK12),sK1(sK12))
    | ~ sPE(relation_dom(sK12),relation_dom(relation_composition(sK12,sK11)))
    | ~ in(sK1(sK12),relation_dom(sK12))
    | in(sK1(sK12),relation_dom(relation_composition(sK12,sK11))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ sPE(apply(relation_composition(sK12,sK11),sK1(sK12)),apply(sK11,apply(sK12,sK1(sK12))))
    | ~ sPE(apply(sK11,apply(sK12,sK1(sK12))),apply(relation_composition(sK12,sK11),sK0(sK12)))
    | sPE(apply(relation_composition(sK12,sK11),sK1(sK12)),apply(relation_composition(sK12,sK11),sK0(sK12))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(apply(relation_composition(sK12,sK11),sK0(sK12)),apply(sK11,apply(sK12,sK1(sK12))))
    | sPE(apply(sK11,apply(sK12,sK1(sK12))),apply(relation_composition(sK12,sK11),sK0(sK12))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sPE(apply(relation_composition(sK12,sK11),sK0(sK12)),apply(sK11,apply(sK12,sK0(sK12))))
    | ~ sPE(apply(sK11,apply(sK12,sK0(sK12))),apply(sK11,apply(sK12,sK1(sK12))))
    | sPE(apply(relation_composition(sK12,sK11),sK0(sK12)),apply(sK11,apply(sK12,sK1(sK12)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ sPE(sK11,sK11)
    | ~ sPE(apply(sK12,sK0(sK12)),apply(sK12,sK1(sK12)))
    | sPE(apply(sK11,apply(sK12,sK0(sK12))),apply(sK11,apply(sK12,sK1(sK12)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU014+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n024.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 Jun 19 00:32:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 22.66/3.31  % symbols: 29
% 22.66/3.31  % clauses: 83
% 22.66/3.31  % start clauses: 7
% 22.66/3.31  % iterative deepening steps: 893
% 22.66/3.31  % maximum path limit: 4
% 22.66/3.31  % literal attempts: 10080781
% 22.66/3.31  % depth failures: 8936156
% 22.66/3.31  % regularity failures: 91226
% 22.66/3.31  % tautology failures: 168059
% 22.66/3.31  % reductions: 106030
% 22.66/3.31  % extensions: 9970466
% 22.66/3.31  % SAT variables: 471569
% 22.66/3.31  % SAT clauses: 545944
% 22.66/3.31  % WalkSAT solutions: 545930
% 22.66/3.31  % CDCL solutions: 16
% 22.66/3.31  % SZS status Theorem for theBenchmark
% 22.66/3.31  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------