TSTP Solution File: FLD014-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : FLD014-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n019.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 : Sat Jul 16 02:26:20 EDT 2022

% Result   : Unsatisfiable 4.19s 0.92s
% Output   : Proof 4.41s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    equalish(a,b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_3)]) ).

cnf(g1,plain,
    ~ equalish(additive_inverse(a),additive_inverse(b)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_not_equal_to_additive_inverse_4)]) ).

cnf(g2,plain,
    defined(a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).

cnf(g3,plain,
    ( ~ defined(additive_inverse(b))
    | equalish(add(additive_identity,additive_inverse(b)),additive_inverse(b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_identity_addition)]) ).

cnf(g4,plain,
    ( ~ defined(a)
    | defined(additive_inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_additive_inverse)]) ).

cnf(g5,plain,
    ( ~ defined(b)
    | defined(additive_inverse(b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_additive_inverse)]) ).

cnf(g6,plain,
    ( ~ defined(additive_inverse(a))
    | equalish(add(additive_identity,additive_inverse(a)),additive_inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_identity_addition)]) ).

cnf(g7,plain,
    defined(b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined)]) ).

cnf(g8,plain,
    ( ~ defined(a)
    | equalish(add(a,additive_inverse(a)),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_inverse_addition)]) ).

cnf(g9,plain,
    ( ~ equalish(a,b)
    | ~ defined(additive_inverse(b))
    | equalish(add(a,additive_inverse(b)),add(b,additive_inverse(b))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',compatibility_of_equality_and_addition)]) ).

cnf(g10,plain,
    ( ~ equalish(add(a,additive_inverse(b)),add(b,additive_inverse(b)))
    | ~ equalish(add(b,additive_inverse(b)),additive_identity)
    | equalish(add(a,additive_inverse(b)),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g11,plain,
    ( ~ defined(b)
    | equalish(add(b,additive_inverse(b)),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_inverse_addition)]) ).

cnf(g12,plain,
    defined(additive_identity),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_additive_identity)]) ).

cnf(g13,plain,
    ( ~ equalish(add(additive_inverse(b),a),add(a,additive_inverse(b)))
    | ~ equalish(add(a,additive_inverse(b)),additive_identity)
    | equalish(add(additive_inverse(b),a),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g14,plain,
    ( ~ defined(additive_inverse(b))
    | ~ defined(a)
    | equalish(add(additive_inverse(b),a),add(a,additive_inverse(b))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',commutativity_addition)]) ).

cnf(g15,plain,
    ( ~ defined(a)
    | ~ defined(additive_inverse(a))
    | defined(add(a,additive_inverse(a))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_addition)]) ).

cnf(g16,plain,
    ( ~ equalish(additive_inverse(a),add(add(additive_identity,add(a,additive_inverse(a))),additive_inverse(b)))
    | ~ equalish(add(add(additive_identity,add(a,additive_inverse(a))),additive_inverse(b)),additive_inverse(b))
    | equalish(additive_inverse(a),additive_inverse(b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g17,plain,
    ( ~ equalish(add(add(additive_identity,add(a,additive_inverse(a))),additive_inverse(b)),add(additive_identity,additive_inverse(b)))
    | ~ equalish(add(additive_identity,additive_inverse(b)),additive_inverse(b))
    | equalish(add(add(additive_identity,add(a,additive_inverse(a))),additive_inverse(b)),additive_inverse(b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g18,plain,
    ( ~ equalish(add(additive_identity,add(a,additive_inverse(a))),additive_identity)
    | ~ defined(additive_inverse(b))
    | equalish(add(add(additive_identity,add(a,additive_inverse(a))),additive_inverse(b)),add(additive_identity,additive_inverse(b))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',compatibility_of_equality_and_addition)]) ).

cnf(g19,plain,
    ( ~ equalish(add(additive_identity,add(a,additive_inverse(a))),add(a,additive_inverse(a)))
    | ~ equalish(add(a,additive_inverse(a)),additive_identity)
    | equalish(add(additive_identity,add(a,additive_inverse(a))),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g20,plain,
    ( ~ defined(add(a,additive_inverse(a)))
    | equalish(add(additive_identity,add(a,additive_inverse(a))),add(a,additive_inverse(a))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_identity_addition)]) ).

cnf(g21,plain,
    ( ~ equalish(additive_inverse(a),add(additive_identity,add(add(a,additive_inverse(a)),additive_inverse(b))))
    | ~ equalish(add(additive_identity,add(add(a,additive_inverse(a)),additive_inverse(b))),add(add(additive_identity,add(a,additive_inverse(a))),additive_inverse(b)))
    | equalish(additive_inverse(a),add(add(additive_identity,add(a,additive_inverse(a))),additive_inverse(b))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g22,plain,
    ( ~ defined(additive_identity)
    | ~ defined(add(a,additive_inverse(a)))
    | ~ defined(additive_inverse(b))
    | equalish(add(additive_identity,add(add(a,additive_inverse(a)),additive_inverse(b))),add(add(additive_identity,add(a,additive_inverse(a))),additive_inverse(b))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',associativity_addition)]) ).

cnf(g23,plain,
    ( ~ equalish(add(additive_identity,add(add(a,additive_inverse(a)),additive_inverse(b))),additive_inverse(a))
    | equalish(additive_inverse(a),add(additive_identity,add(add(a,additive_inverse(a)),additive_inverse(b)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',symmetry_of_equality)]) ).

cnf(g24,plain,
    ( ~ defined(add(a,additive_inverse(a)))
    | ~ defined(additive_inverse(b))
    | defined(add(add(a,additive_inverse(a)),additive_inverse(b))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_addition)]) ).

cnf(g25,plain,
    ( ~ equalish(add(additive_identity,add(add(a,additive_inverse(a)),additive_inverse(b))),add(add(a,additive_inverse(a)),additive_inverse(b)))
    | ~ equalish(add(add(a,additive_inverse(a)),additive_inverse(b)),additive_inverse(a))
    | equalish(add(additive_identity,add(add(a,additive_inverse(a)),additive_inverse(b))),additive_inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g26,plain,
    ( ~ defined(add(add(a,additive_inverse(a)),additive_inverse(b)))
    | equalish(add(additive_identity,add(add(a,additive_inverse(a)),additive_inverse(b))),add(add(a,additive_inverse(a)),additive_inverse(b))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_identity_addition)]) ).

cnf(g27,plain,
    ( ~ defined(add(a,additive_inverse(a)))
    | ~ defined(additive_inverse(b))
    | equalish(add(add(a,additive_inverse(a)),additive_inverse(b)),add(additive_inverse(b),add(a,additive_inverse(a)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',commutativity_addition)]) ).

cnf(g28,plain,
    ( ~ equalish(add(add(a,additive_inverse(a)),additive_inverse(b)),add(add(additive_inverse(b),a),additive_inverse(a)))
    | ~ equalish(add(add(additive_inverse(b),a),additive_inverse(a)),additive_inverse(a))
    | equalish(add(add(a,additive_inverse(a)),additive_inverse(b)),additive_inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g29,plain,
    ( ~ equalish(add(add(a,additive_inverse(a)),additive_inverse(b)),add(additive_inverse(b),add(a,additive_inverse(a))))
    | ~ equalish(add(additive_inverse(b),add(a,additive_inverse(a))),add(add(additive_inverse(b),a),additive_inverse(a)))
    | equalish(add(add(a,additive_inverse(a)),additive_inverse(b)),add(add(additive_inverse(b),a),additive_inverse(a))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g30,plain,
    ( ~ defined(additive_inverse(b))
    | ~ defined(a)
    | ~ defined(additive_inverse(a))
    | equalish(add(additive_inverse(b),add(a,additive_inverse(a))),add(add(additive_inverse(b),a),additive_inverse(a))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',associativity_addition)]) ).

cnf(g31,plain,
    ( ~ equalish(add(add(additive_inverse(b),a),additive_inverse(a)),add(additive_identity,additive_inverse(a)))
    | ~ equalish(add(additive_identity,additive_inverse(a)),additive_inverse(a))
    | equalish(add(add(additive_inverse(b),a),additive_inverse(a)),additive_inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g32,plain,
    ( ~ equalish(add(additive_inverse(b),a),additive_identity)
    | ~ defined(additive_inverse(a))
    | equalish(add(add(additive_inverse(b),a),additive_inverse(a)),add(additive_identity,additive_inverse(a))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',compatibility_of_equality_and_addition)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : FLD014-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n019.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun  6 17:52:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 4.19/0.92  % symbols: 13
% 4.19/0.92  % clauses: 31
% 4.19/0.92  % start clauses: 2
% 4.19/0.92  % iterative deepening steps: 1136
% 4.19/0.92  % maximum path limit: 5
% 4.19/0.92  % literal attempts: 889434
% 4.19/0.92  % depth failures: 582181
% 4.19/0.92  % regularity failures: 61176
% 4.19/0.92  % tautology failures: 115132
% 4.19/0.92  % reductions: 60970
% 4.19/0.92  % extensions: 827493
% 4.19/0.92  % SAT variables: 67447
% 4.19/0.92  % SAT clauses: 109340
% 4.19/0.92  % WalkSAT solutions: 109313
% 4.19/0.92  % CDCL solutions: 25
% 4.19/0.92  % SZS status Unsatisfiable for theBenchmark
% 4.19/0.92  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------