TSTP Solution File: FLD027-1 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : FLD027-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n027.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 02:26:25 EDT 2022
% Result : Unsatisfiable 80.76s 10.54s
% Output : Proof 80.76s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ equalish(a,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3)]) ).
cnf(g1,plain,
~ equalish(b,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_4)]) ).
cnf(g2,plain,
equalish(multiplicative_inverse(a),multiplicative_inverse(b)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverses_equal)]) ).
cnf(g3,plain,
~ equalish(a,b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_b_6)]) ).
cnf(g4,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g5,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| defined(multiplicative_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse)]) ).
cnf(g6,plain,
( ~ defined(b)
| equalish(b,additive_identity)
| defined(multiplicative_inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse)]) ).
cnf(g7,plain,
( ~ defined(b)
| equalish(b,additive_identity)
| equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g8,plain,
( ~ equalish(b,a)
| equalish(a,b) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',symmetry_of_equality)]) ).
cnf(g9,plain,
defined(a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).
cnf(g10,plain,
( ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| ~ defined(a)
| equalish(multiply(multiply(a,multiplicative_inverse(a)),a),multiply(multiplicative_identity,a)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication)]) ).
cnf(g11,plain,
defined(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined)]) ).
cnf(g12,plain,
( ~ defined(b)
| equalish(multiply(multiplicative_identity,b),b) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_identity_multiplication)]) ).
cnf(g13,plain,
( ~ equalish(a,multiply(multiply(a,multiplicative_inverse(a)),a))
| ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),a),multiply(multiplicative_identity,a))
| equalish(a,multiply(multiplicative_identity,a)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).
cnf(g14,plain,
( ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),a),multiply(multiplicative_identity,a))
| ~ equalish(multiply(multiplicative_identity,a),a)
| equalish(multiply(multiply(a,multiplicative_inverse(a)),a),a) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).
cnf(g15,plain,
( ~ defined(multiplicative_inverse(b))
| ~ defined(b)
| equalish(multiply(multiplicative_inverse(b),b),multiply(b,multiplicative_inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',commutativity_multiplication)]) ).
cnf(g16,plain,
( ~ equalish(a,multiply(multiplicative_identity,b))
| equalish(multiply(multiplicative_identity,b),a) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',symmetry_of_equality)]) ).
cnf(g17,plain,
( ~ equalish(multiply(multiplicative_identity,b),b)
| equalish(b,multiply(multiplicative_identity,b)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',symmetry_of_equality)]) ).
cnf(g18,plain,
( ~ equalish(a,multiply(multiply(a,multiplicative_inverse(a)),b))
| ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),b),multiply(multiplicative_identity,b))
| equalish(a,multiply(multiplicative_identity,b)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).
cnf(g19,plain,
( ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| ~ defined(b)
| equalish(multiply(multiply(a,multiplicative_inverse(a)),b),multiply(multiplicative_identity,b)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication)]) ).
cnf(g20,plain,
( ~ equalish(b,multiply(multiplicative_identity,b))
| ~ equalish(multiply(multiplicative_identity,b),a)
| equalish(b,a) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).
cnf(g21,plain,
( ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),a),a)
| equalish(a,multiply(multiply(a,multiplicative_inverse(a)),a)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',symmetry_of_equality)]) ).
cnf(g22,plain,
( ~ defined(a)
| equalish(multiply(multiplicative_identity,a),a) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_identity_multiplication)]) ).
cnf(g23,plain,
( ~ equalish(a,multiply(a,multiply(multiplicative_inverse(a),b)))
| ~ equalish(multiply(a,multiply(multiplicative_inverse(a),b)),multiply(multiply(a,multiplicative_inverse(a)),b))
| equalish(a,multiply(multiply(a,multiplicative_inverse(a)),b)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).
cnf(g24,plain,
( ~ defined(a)
| ~ defined(multiplicative_inverse(a))
| ~ defined(b)
| equalish(multiply(a,multiply(multiplicative_inverse(a),b)),multiply(multiply(a,multiplicative_inverse(a)),b)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',associativity_multiplication)]) ).
cnf(g25,plain,
( ~ equalish(multiplicative_inverse(a),multiplicative_inverse(b))
| ~ defined(b)
| equalish(multiply(multiplicative_inverse(a),b),multiply(multiplicative_inverse(b),b)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication)]) ).
cnf(g26,plain,
( ~ equalish(multiply(multiplicative_inverse(a),b),multiply(multiplicative_inverse(b),b))
| ~ equalish(multiply(multiplicative_inverse(b),b),multiply(b,multiplicative_inverse(b)))
| equalish(multiply(multiplicative_inverse(a),b),multiply(b,multiplicative_inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).
cnf(g27,plain,
( ~ equalish(multiply(multiplicative_inverse(a),b),multiply(b,multiplicative_inverse(b)))
| ~ equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity)
| equalish(multiply(multiplicative_inverse(a),b),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).
cnf(g28,plain,
( ~ equalish(multiply(multiplicative_inverse(a),b),multiplicative_identity)
| equalish(multiplicative_identity,multiply(multiplicative_inverse(a),b)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',symmetry_of_equality)]) ).
cnf(g29,plain,
( ~ equalish(multiplicative_identity,multiply(multiplicative_inverse(a),b))
| ~ defined(a)
| equalish(multiply(multiplicative_identity,a),multiply(multiply(multiplicative_inverse(a),b),a)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication)]) ).
cnf(g30,plain,
( ~ defined(multiplicative_inverse(a))
| ~ defined(b)
| defined(multiply(multiplicative_inverse(a),b)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_multiplication)]) ).
cnf(g31,plain,
( ~ equalish(a,multiply(multiplicative_identity,a))
| ~ equalish(multiply(multiplicative_identity,a),multiply(multiply(multiplicative_inverse(a),b),a))
| equalish(a,multiply(multiply(multiplicative_inverse(a),b),a)) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).
cnf(g32,plain,
( ~ equalish(a,multiply(multiply(multiplicative_inverse(a),b),a))
| ~ equalish(multiply(multiply(multiplicative_inverse(a),b),a),multiply(a,multiply(multiplicative_inverse(a),b)))
| equalish(a,multiply(a,multiply(multiplicative_inverse(a),b))) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).
cnf(g33,plain,
( ~ defined(multiply(multiplicative_inverse(a),b))
| ~ defined(a)
| equalish(multiply(multiply(multiplicative_inverse(a),b),a),multiply(a,multiply(multiplicative_inverse(a),b))) ),
inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',commutativity_multiplication)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : FLD027-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.15 % Command : satcop --statistics %s
% 0.15/0.37 % Computer : n027.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Tue Jun 7 01:58:27 EDT 2022
% 0.15/0.37 % CPUTime :
% 80.76/10.54 % symbols: 13
% 80.76/10.54 % clauses: 33
% 80.76/10.54 % start clauses: 4
% 80.76/10.54 % iterative deepening steps: 2517
% 80.76/10.54 % maximum path limit: 5
% 80.76/10.54 % literal attempts: 9095664
% 80.76/10.54 % depth failures: 6532069
% 80.76/10.54 % regularity failures: 424716
% 80.76/10.54 % tautology failures: 1296347
% 80.76/10.54 % reductions: 557802
% 80.76/10.54 % extensions: 8534369
% 80.76/10.54 % SAT variables: 402537
% 80.76/10.54 % SAT clauses: 617950
% 80.76/10.54 % WalkSAT solutions: 616420
% 80.76/10.54 % CDCL solutions: 1522
% 80.76/10.54 % SZS status Unsatisfiable for theBenchmark
% 80.76/10.54 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------