TSTP Solution File: SEU221+2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SEU221+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n009.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 14:12:50 EDT 2022

% Result   : Theorem 188.52s 24.22s
% Output   : Proof 188.52s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    relation(sK76),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funct_1)]) ).

cnf(g1,plain,
    function(sK76),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funct_1)]) ).

cnf(g2,plain,
    one_to_one(sK76),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funct_1)]) ).

cnf(g3,plain,
    ~ one_to_one(function_inverse(sK76)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funct_1)]) ).

cnf(g4,plain,
    ( ~ function(sK76)
    | ~ relation(sK76)
    | function(function_inverse(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1)]) ).

cnf(g5,plain,
    ( ~ function(sK76)
    | ~ relation(sK76)
    | relation(function_inverse(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1)]) ).

cnf(g6,plain,
    ( ~ function(function_inverse(sK76))
    | ~ relation(function_inverse(sK76))
    | in(sK46(function_inverse(sK76)),relation_dom(function_inverse(sK76)))
    | one_to_one(function_inverse(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1)]) ).

cnf(g7,plain,
    ( ~ sPE(sK46(function_inverse(sK76)),sK47(function_inverse(sK76)))
    | ~ function(function_inverse(sK76))
    | ~ relation(function_inverse(sK76))
    | one_to_one(function_inverse(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1)]) ).

cnf(g8,plain,
    ( ~ function(function_inverse(sK76))
    | ~ relation(function_inverse(sK76))
    | sPE(apply(function_inverse(sK76),sK46(function_inverse(sK76))),apply(function_inverse(sK76),sK47(function_inverse(sK76))))
    | one_to_one(function_inverse(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1)]) ).

cnf(g9,plain,
    ( ~ function(function_inverse(sK76))
    | ~ relation(function_inverse(sK76))
    | in(sK47(function_inverse(sK76)),relation_dom(function_inverse(sK76)))
    | one_to_one(function_inverse(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1)]) ).

cnf(g10,plain,
    ( ~ sPE(function_inverse(sK76),function_inverse(sK76))
    | ~ sPE(apply(function_inverse(sK76),sK46(function_inverse(sK76))),apply(function_inverse(sK76),sK47(function_inverse(sK76))))
    | ~ in(sK47(function_inverse(sK76)),relation_rng(sK76))
    | ~ function(sK76)
    | ~ function(function_inverse(sK76))
    | ~ relation(sK76)
    | ~ relation(function_inverse(sK76))
    | ~ one_to_one(sK76)
    | sPE(sK47(function_inverse(sK76)),apply(sK76,apply(function_inverse(sK76),sK46(function_inverse(sK76))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1)]) ).

cnf(g11,plain,
    sPE(function_inverse(sK76),function_inverse(sK76)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(function_inverse(sK76),function_inverse(sK76))
    | ~ function(sK76)
    | ~ function(function_inverse(sK76))
    | ~ relation(sK76)
    | ~ relation(function_inverse(sK76))
    | ~ one_to_one(sK76)
    | sPE(relation_dom(function_inverse(sK76)),relation_rng(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1)]) ).

cnf(g13,plain,
    ( ~ sPE(relation_dom(function_inverse(sK76)),relation_rng(sK76))
    | subset(relation_dom(function_inverse(sK76)),relation_rng(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0)]) ).

cnf(g14,plain,
    ( ~ in(sK47(function_inverse(sK76)),relation_dom(function_inverse(sK76)))
    | ~ subset(relation_dom(function_inverse(sK76)),relation_rng(sK76))
    | in(sK47(function_inverse(sK76)),relation_rng(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).

cnf(g15,plain,
    ( ~ in(sK46(function_inverse(sK76)),relation_dom(function_inverse(sK76)))
    | ~ subset(relation_dom(function_inverse(sK76)),relation_rng(sK76))
    | in(sK46(function_inverse(sK76)),relation_rng(sK76)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).

cnf(g16,plain,
    ( ~ sPE(sK47(function_inverse(sK76)),apply(sK76,apply(function_inverse(sK76),sK46(function_inverse(sK76)))))
    | sPE(apply(sK76,apply(function_inverse(sK76),sK46(function_inverse(sK76)))),sK47(function_inverse(sK76))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(sK46(function_inverse(sK76)),apply(sK76,apply(function_inverse(sK76),sK46(function_inverse(sK76)))))
    | ~ sPE(apply(sK76,apply(function_inverse(sK76),sK46(function_inverse(sK76)))),sK47(function_inverse(sK76)))
    | sPE(sK46(function_inverse(sK76)),sK47(function_inverse(sK76))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ in(sK46(function_inverse(sK76)),relation_rng(sK76))
    | ~ function(sK76)
    | ~ relation(sK76)
    | ~ one_to_one(sK76)
    | sPE(sK46(function_inverse(sK76)),apply(sK76,apply(function_inverse(sK76),sK46(function_inverse(sK76))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU221+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : satcop --statistics %s
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 19 06:45:37 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 188.52/24.22  % symbols: 142
% 188.52/24.22  % clauses: 598
% 188.52/24.22  % start clauses: 4
% 188.52/24.22  % iterative deepening steps: 11896
% 188.52/24.22  % maximum path limit: 3
% 188.52/24.22  % literal attempts: 47907236
% 188.52/24.22  % depth failures: 46440479
% 188.52/24.22  % regularity failures: 58517
% 188.52/24.22  % tautology failures: 77862
% 188.52/24.22  % reductions: 593405
% 188.52/24.22  % extensions: 47296472
% 188.52/24.22  % SAT variables: 1955881
% 188.52/24.22  % SAT clauses: 2019882
% 188.52/24.22  % WalkSAT solutions: 2019584
% 188.52/24.22  % CDCL solutions: 291
% 188.52/24.22  % SZS status Theorem for theBenchmark
% 188.52/24.22  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------