TSTP Solution File: LAT031-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n029.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 : Sun Jul 17 06:38:32 EDT 2022

% Result   : Unsatisfiable 53.10s 7.06s
% Output   : Proof 53.10s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(join(xx,meet(yy,zz)),meet(join(xx,yy),join(xx,zz))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join)]) ).

cnf(g1,plain,
    ( ~ sPE(meet(join(xx,yy),join(xx,zz)),join(xx,meet(yy,zz)))
    | sPE(join(xx,meet(yy,zz)),meet(join(xx,yy),join(xx,zz))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    sPE(join(xx,meet(yy,zz)),join(meet(yy,zz),xx)),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',commutativity_of_join)]) ).

cnf(g3,plain,
    sPE(meet(join(xx,yy),join(xx,zz)),join(meet(join(xx,yy),xx),meet(join(xx,yy),zz))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet)]) ).

cnf(g4,plain,
    sPE(join(meet(yy,zz),xx),join(xx,meet(yy,zz))),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',commutativity_of_join)]) ).

cnf(g5,plain,
    ( ~ sPE(meet(join(xx,yy),join(xx,zz)),join(meet(yy,zz),xx))
    | ~ sPE(join(meet(yy,zz),xx),join(xx,meet(yy,zz)))
    | sPE(meet(join(xx,yy),join(xx,zz)),join(xx,meet(yy,zz))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ sPE(meet(join(xx,yy),join(xx,zz)),join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)))
    | ~ sPE(join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)),join(meet(yy,zz),xx))
    | sPE(meet(join(xx,yy),join(xx,zz)),join(meet(yy,zz),xx)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    sPE(meet(zz,yy),meet(yy,zz)),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',commutativity_of_meet)]) ).

cnf(g8,plain,
    sPE(meet(meet(yy,zz),meet(yy,zz)),meet(yy,zz)),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',idempotence_of_meet)]) ).

cnf(g9,plain,
    ( ~ sPE(meet(join(xx,yy),xx),meet(xx,join(xx,yy)))
    | ~ sPE(meet(xx,join(xx,yy)),xx)
    | sPE(meet(join(xx,yy),xx),xx) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(meet(join(xx,yy),xx),meet(xx,join(xx,yy))),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',commutativity_of_meet)]) ).

cnf(g11,plain,
    sPE(meet(xx,join(xx,yy)),xx),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',absorption1)]) ).

cnf(g12,plain,
    sPE(meet(join(xx,yy),zz),meet(zz,join(xx,yy))),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',commutativity_of_meet)]) ).

cnf(g13,plain,
    sPE(meet(zz,join(xx,yy)),join(meet(zz,xx),meet(zz,yy))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet)]) ).

cnf(g14,plain,
    ( ~ sPE(meet(meet(yy,zz),meet(yy,zz)),meet(yy,zz))
    | sPE(meet(yy,zz),meet(meet(yy,zz),meet(yy,zz))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ sPE(join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)),join(xx,meet(yy,zz)))
    | ~ sPE(join(xx,meet(yy,zz)),join(meet(yy,zz),xx))
    | sPE(join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)),join(meet(yy,zz),xx)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(meet(join(xx,yy),zz),meet(zz,join(xx,yy)))
    | ~ sPE(meet(zz,join(xx,yy)),join(meet(zz,xx),meet(zz,yy)))
    | sPE(meet(join(xx,yy),zz),join(meet(zz,xx),meet(zz,yy))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    sPE(meet(zz,xx),meet(xx,zz)),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',commutativity_of_meet)]) ).

cnf(g18,plain,
    ( ~ sPE(meet(join(xx,yy),zz),join(meet(zz,xx),meet(zz,yy)))
    | ~ sPE(join(meet(zz,xx),meet(zz,yy)),join(meet(xx,zz),meet(yy,zz)))
    | sPE(meet(join(xx,yy),zz),join(meet(xx,zz),meet(yy,zz))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(meet(zz,xx),meet(xx,zz))
    | ~ sPE(meet(zz,yy),meet(yy,zz))
    | sPE(join(meet(zz,xx),meet(zz,yy)),join(meet(xx,zz),meet(yy,zz))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    sPE(meet(xx,zz),meet(xx,zz)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)),join(xx,join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz)))))
    | ~ sPE(join(xx,join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz)))),join(xx,meet(yy,zz)))
    | sPE(join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)),join(xx,meet(yy,zz))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(meet(join(xx,yy),xx),xx)
    | ~ sPE(meet(join(xx,yy),zz),join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz))))
    | sPE(join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)),join(xx,join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ sPE(meet(join(xx,yy),zz),join(meet(xx,zz),meet(yy,zz)))
    | ~ sPE(join(meet(xx,zz),meet(yy,zz)),join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz))))
    | sPE(meet(join(xx,yy),zz),join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ sPE(meet(xx,zz),meet(xx,zz))
    | ~ sPE(meet(yy,zz),meet(meet(yy,zz),meet(yy,zz)))
    | sPE(join(meet(xx,zz),meet(yy,zz)),join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(join(xx,meet(yy,zz)),join(xx,join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz)))))
    | sPE(join(xx,join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz)))),join(xx,meet(yy,zz))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sPE(join(xx,meet(yy,zz)),join(join(xx,meet(xx,zz)),meet(meet(yy,zz),meet(yy,zz))))
    | ~ sPE(join(join(xx,meet(xx,zz)),meet(meet(yy,zz),meet(yy,zz))),join(xx,join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz)))))
    | sPE(join(xx,meet(yy,zz)),join(xx,join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    sPE(join(join(xx,meet(xx,zz)),meet(meet(yy,zz),meet(yy,zz))),join(xx,join(meet(xx,zz),meet(meet(yy,zz),meet(yy,zz))))),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',associativity_of_join)]) ).

cnf(g28,plain,
    ( ~ sPE(xx,join(xx,meet(xx,zz)))
    | ~ sPE(meet(yy,zz),meet(meet(yy,zz),meet(yy,zz)))
    | sPE(join(xx,meet(yy,zz)),join(join(xx,meet(xx,zz)),meet(meet(yy,zz),meet(yy,zz)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g29,plain,
    ( ~ sPE(join(xx,meet(xx,zz)),xx)
    | sPE(xx,join(xx,meet(xx,zz))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    sPE(join(xx,meet(xx,zz)),xx),
    inference(ground_cnf,[],[file('Axioms/LAT001-0.ax',absorption2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 29 01:12:22 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 53.10/7.06  % symbols: 7
% 53.10/7.06  % clauses: 15
% 53.10/7.06  % start clauses: 1
% 53.10/7.06  % iterative deepening steps: 14625
% 53.10/7.06  % maximum path limit: 9
% 53.10/7.06  % literal attempts: 3741052
% 53.10/7.06  % depth failures: 1468208
% 53.10/7.06  % regularity failures: 393100
% 53.10/7.06  % tautology failures: 220509
% 53.10/7.06  % reductions: 0
% 53.10/7.06  % extensions: 3727261
% 53.10/7.06  % SAT variables: 1191826
% 53.10/7.06  % SAT clauses: 1904936
% 53.10/7.06  % WalkSAT solutions: 1904935
% 53.10/7.06  % CDCL solutions: 0
% 53.10/7.06  % SZS status Unsatisfiable for theBenchmark
% 53.10/7.06  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------