TSTP Solution File: SEU032+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SEU032+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n005.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 14:11:21 EDT 2022

% Result   : Theorem 0.20s 0.40s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    relation(sK11),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1)]) ).

cnf(g1,plain,
    function(sK11),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1)]) ).

cnf(g2,plain,
    one_to_one(sK11),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1)]) ).

cnf(g3,plain,
    ~ sPE(function_inverse(function_inverse(sK11)),sK11),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1)]) ).

cnf(g4,plain,
    ( ~ function(sK11)
    | ~ relation(sK11)
    | ~ one_to_one(sK11)
    | sPE(relation_composition(function_inverse(sK11),sK11),identity_relation(relation_rng(sK11))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1)]) ).

cnf(g5,plain,
    ( ~ function(sK11)
    | ~ relation(sK11)
    | ~ one_to_one(sK11)
    | one_to_one(function_inverse(sK11)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_funct_1)]) ).

cnf(g6,plain,
    ( ~ function(sK11)
    | ~ relation(sK11)
    | function(function_inverse(sK11)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1)]) ).

cnf(g7,plain,
    ( ~ function(sK11)
    | ~ relation(sK11)
    | relation(function_inverse(sK11)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1)]) ).

cnf(g8,plain,
    ( ~ function(sK11)
    | ~ relation(sK11)
    | ~ one_to_one(sK11)
    | sPE(relation_rng(sK11),relation_dom(function_inverse(sK11))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1)]) ).

cnf(g9,plain,
    ( ~ function(sK11)
    | ~ relation(sK11)
    | ~ one_to_one(sK11)
    | sPE(relation_dom(sK11),relation_rng(function_inverse(sK11))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1)]) ).

cnf(g10,plain,
    ( ~ sPE(sK11,function_inverse(function_inverse(sK11)))
    | sPE(function_inverse(function_inverse(sK11)),sK11) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ sPE(relation_composition(function_inverse(sK11),sK11),identity_relation(relation_dom(function_inverse(sK11))))
    | ~ sPE(relation_rng(function_inverse(sK11)),relation_dom(sK11))
    | ~ function(function_inverse(sK11))
    | ~ function(sK11)
    | ~ relation(function_inverse(sK11))
    | ~ relation(sK11)
    | ~ one_to_one(function_inverse(sK11))
    | sPE(sK11,function_inverse(function_inverse(sK11))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_funct_1)]) ).

cnf(g12,plain,
    ( ~ sPE(relation_rng(sK11),relation_dom(function_inverse(sK11)))
    | sPE(identity_relation(relation_rng(sK11)),identity_relation(relation_dom(function_inverse(sK11)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(relation_dom(sK11),relation_rng(function_inverse(sK11)))
    | sPE(relation_rng(function_inverse(sK11)),relation_dom(sK11)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU032+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : satcop --statistics %s
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 19:06:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.40  % symbols: 29
% 0.20/0.40  % clauses: 90
% 0.20/0.40  % start clauses: 4
% 0.20/0.40  % iterative deepening steps: 86
% 0.20/0.40  % maximum path limit: 2
% 0.20/0.40  % literal attempts: 68963
% 0.20/0.40  % depth failures: 59686
% 0.20/0.40  % regularity failures: 124
% 0.20/0.40  % tautology failures: 1168
% 0.20/0.40  % reductions: 4548
% 0.20/0.40  % extensions: 64102
% 0.20/0.40  % SAT variables: 11176
% 0.20/0.40  % SAT clauses: 11012
% 0.20/0.40  % WalkSAT solutions: 11007
% 0.20/0.40  % CDCL solutions: 0
% 0.20/0.40  % SZS status Theorem for theBenchmark
% 0.20/0.40  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------