TSTP Solution File: FLD072-3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : FLD072-3 : 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 02:26:44 EDT 2022
% Result : Unsatisfiable 12.83s 2.02s
% Output : Proof 12.83s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
less_or_equal(a,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3)]) ).
cnf(g1,plain,
less_or_equal(additive_identity,b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4)]) ).
cnf(g2,plain,
~ less_or_equal(multiply(a,b),additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_5)]) ).
cnf(g3,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g4,plain,
( ~ defined(b)
| ~ defined(additive_identity)
| product(b,additive_identity,multiply(b,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g5,plain,
( ~ defined(a)
| ~ defined(b)
| defined(multiply(a,b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g6,plain,
( ~ defined(multiply(a,b))
| sum(additive_identity,multiply(a,b),multiply(a,b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g7,plain,
defined(additive_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).
cnf(g8,plain,
( ~ product(b,additive_identity,additive_identity)
| product(additive_identity,b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g9,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',different_identities)]) ).
cnf(g10,plain,
defined(a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).
cnf(g11,plain,
( ~ defined(a)
| sum(additive_inverse(a),a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g12,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g13,plain,
( ~ defined(a)
| ~ defined(b)
| product(a,b,multiply(a,b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g14,plain,
defined(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined)]) ).
cnf(g15,plain,
( ~ defined(b)
| sum(additive_identity,b,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g16,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g17,plain,
( ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g18,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| sum(a,additive_inverse(a),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g19,plain,
( ~ defined(additive_inverse(a))
| sum(additive_identity,additive_inverse(a),additive_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g20,plain,
( ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g21,plain,
( ~ sum(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(additive_identity,multiply(additive_identity,additive_identity),additive_identity)
| sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g22,plain,
( ~ sum(a,additive_inverse(a),additive_identity)
| ~ sum(additive_identity,additive_inverse(a),additive_inverse(a))
| ~ less_or_equal(a,additive_identity)
| less_or_equal(additive_identity,additive_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).
cnf(g23,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g24,plain,
defined(multiplicative_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity)]) ).
cnf(g25,plain,
( ~ sum(additive_identity,multiply(a,b),multiply(a,b))
| ~ sum(multiply(additive_inverse(a),b),multiply(a,b),additive_identity)
| ~ less_or_equal(additive_identity,multiply(additive_inverse(a),b))
| less_or_equal(multiply(a,b),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).
cnf(g26,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| ~ product(additive_inverse(a),b,multiply(additive_inverse(a),b))
| ~ product(a,b,multiply(a,b))
| ~ product(additive_identity,b,additive_identity)
| sum(multiply(additive_inverse(a),b),multiply(a,b),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g27,plain,
( ~ defined(additive_inverse(a))
| ~ defined(b)
| product(additive_inverse(a),b,multiply(additive_inverse(a),b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g28,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),additive_identity)
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| product(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g29,plain,
( ~ defined(b)
| ~ defined(additive_identity)
| defined(multiply(b,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g30,plain,
( ~ defined(multiply(additive_identity,additive_identity))
| sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g31,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| defined(multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g32,plain,
( ~ sum(additive_identity,b,b)
| ~ sum(additive_identity,multiply(b,additive_identity),add(additive_identity,multiply(b,additive_identity)))
| ~ product(additive_identity,additive_identity,additive_identity)
| ~ product(b,additive_identity,multiply(b,additive_identity))
| product(b,additive_identity,add(additive_identity,multiply(b,additive_identity))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g33,plain,
( ~ defined(additive_identity)
| ~ defined(multiply(b,additive_identity))
| sum(additive_identity,multiply(b,additive_identity),add(additive_identity,multiply(b,additive_identity))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g34,plain,
( ~ sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g35,plain,
( ~ sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity)
| sum(additive_identity,multiply(additive_identity,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g36,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(additive_identity,multiplicative_identity,multiplicative_identity)
| sum(additive_identity,additive_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g37,plain,
( ~ product(multiplicative_identity,additive_identity,multiplicative_identity)
| product(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g38,plain,
( ~ sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity)
| ~ sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity))
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(additive_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g39,plain,
( ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g40,plain,
( ~ product(b,additive_identity,add(additive_identity,multiply(b,additive_identity)))
| ~ product(b,additive_identity,add(additive_identity,multiply(b,additive_identity)))
| ~ product(additive_identity,additive_identity,additive_identity)
| product(add(additive_identity,multiply(b,additive_identity)),additive_identity,add(additive_identity,multiply(b,additive_identity))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g41,plain,
( ~ sum(additive_identity,b,b)
| ~ sum(additive_identity,add(additive_identity,multiply(b,additive_identity)),additive_identity)
| ~ product(additive_identity,additive_identity,additive_identity)
| ~ product(b,additive_identity,add(additive_identity,multiply(b,additive_identity)))
| product(b,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g42,plain,
( ~ defined(add(additive_identity,multiply(b,additive_identity)))
| sum(additive_identity,add(additive_identity,multiply(b,additive_identity)),additive_identity)
| product(multiplicative_inverse(add(additive_identity,multiply(b,additive_identity))),add(additive_identity,multiply(b,additive_identity)),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g43,plain,
( ~ defined(additive_identity)
| ~ defined(multiply(b,additive_identity))
| defined(add(additive_identity,multiply(b,additive_identity))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_addition)]) ).
cnf(g44,plain,
( ~ product(multiplicative_inverse(add(additive_identity,multiply(b,additive_identity))),add(additive_identity,multiply(b,additive_identity)),multiplicative_identity)
| ~ product(multiplicative_inverse(add(additive_identity,multiply(b,additive_identity))),add(additive_identity,multiply(b,additive_identity)),multiplicative_identity)
| ~ product(add(additive_identity,multiply(b,additive_identity)),additive_identity,add(additive_identity,multiply(b,additive_identity)))
| product(multiplicative_identity,additive_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g45,plain,
( ~ product(additive_inverse(a),b,multiply(additive_inverse(a),b))
| ~ less_or_equal(additive_identity,additive_inverse(a))
| ~ less_or_equal(additive_identity,b)
| less_or_equal(additive_identity,multiply(additive_inverse(a),b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD072-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 6 12:40:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 12.83/2.02 % symbols: 14
% 12.83/2.02 % clauses: 31
% 12.83/2.02 % start clauses: 3
% 12.83/2.02 % iterative deepening steps: 2016
% 12.83/2.02 % maximum path limit: 5
% 12.83/2.02 % literal attempts: 2780427
% 12.83/2.02 % depth failures: 1780024
% 12.83/2.02 % regularity failures: 152496
% 12.83/2.02 % tautology failures: 252882
% 12.83/2.02 % reductions: 289414
% 12.83/2.02 % extensions: 2489605
% 12.83/2.02 % SAT variables: 182067
% 12.83/2.02 % SAT clauses: 390925
% 12.83/2.02 % WalkSAT solutions: 390881
% 12.83/2.02 % CDCL solutions: 42
% 12.83/2.02 % SZS status Unsatisfiable for theBenchmark
% 12.83/2.02 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------