TSTP Solution File: SET017-7 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET017-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n006.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 04:57:29 EDT 2022

% Result   : Unsatisfiable 37.29s 5.11s
% Output   : Proof 37.71s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    sPE(unordered_pair(x,y),unordered_pair(x,z)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation_1)]) ).

cnf(g1,plain,
    member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation_2)]) ).

cnf(g2,plain,
    ~ sPE(y,z),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation_3)]) ).

cnf(g3,plain,
    ( ~ sPE(unordered_pair(x,y),unordered_pair(x,z))
    | subclass(unordered_pair(x,y),unordered_pair(x,z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass1)]) ).

cnf(g4,plain,
    ( ~ member(ordered_pair(y,z),cross_product(universal_class,universal_class))
    | member(y,unordered_pair(y,z)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_unordered_pair)]) ).

cnf(g5,plain,
    ( ~ member(ordered_pair(y,z),cross_product(universal_class,universal_class))
    | member(z,unordered_pair(y,z)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_unordered_pair)]) ).

cnf(g6,plain,
    ( ~ member(ordered_pair(y,z),cross_product(universal_class,universal_class))
    | member(y,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product1)]) ).

cnf(g7,plain,
    ( ~ member(y,unordered_pair(y,z))
    | sPE(y,y)
    | sPE(y,z) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g8,plain,
    ( ~ sPE(z,y)
    | sPE(y,z) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ member(y,universal_class)
    | member(y,unordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair3)]) ).

cnf(g10,plain,
    ( ~ sPE(y,x)
    | ~ sPE(y,y)
    | sPE(unordered_pair(y,y),unordered_pair(x,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ subclass(unordered_pair(x,y),unordered_pair(x,z))
    | ~ member(y,unordered_pair(x,y))
    | member(y,unordered_pair(x,z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g12,plain,
    ( ~ member(z,unordered_pair(y,y))
    | sPE(z,y)
    | sPE(z,y) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g13,plain,
    ( ~ member(y,unordered_pair(x,z))
    | sPE(y,x)
    | sPE(y,z) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g14,plain,
    sPE(z,z),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ sPE(z,z)
    | ~ sPE(unordered_pair(y,z),unordered_pair(y,y))
    | ~ member(z,unordered_pair(y,z))
    | member(z,unordered_pair(y,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(unordered_pair(x,y),unordered_pair(x,z))
    | ~ sPE(unordered_pair(x,z),unordered_pair(y,z))
    | sPE(unordered_pair(x,y),unordered_pair(y,z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(x,y)
    | ~ sPE(z,z)
    | sPE(unordered_pair(x,z),unordered_pair(y,z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(y,x)
    | sPE(x,y) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(unordered_pair(y,y),unordered_pair(x,y))
    | ~ sPE(unordered_pair(x,y),unordered_pair(y,z))
    | sPE(unordered_pair(y,y),unordered_pair(y,z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(unordered_pair(y,y),unordered_pair(y,z))
    | sPE(unordered_pair(y,z),unordered_pair(y,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET017-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 : Mon Jul 11 10:02:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 37.29/5.11  % symbols: 52
% 37.29/5.11  % clauses: 158
% 37.29/5.11  % start clauses: 3
% 37.29/5.11  % iterative deepening steps: 1774
% 37.29/5.11  % maximum path limit: 3
% 37.29/5.11  % literal attempts: 8084552
% 37.29/5.11  % depth failures: 7133178
% 37.29/5.11  % regularity failures: 161410
% 37.29/5.11  % tautology failures: 135049
% 37.29/5.11  % reductions: 380308
% 37.29/5.11  % extensions: 7702370
% 37.29/5.11  % SAT variables: 1382835
% 37.29/5.11  % SAT clauses: 1208290
% 37.29/5.11  % WalkSAT solutions: 1208281
% 37.29/5.11  % CDCL solutions: 7
% 37.29/5.11  % SZS status Unsatisfiable for theBenchmark
% 37.29/5.11  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------