TSTP Solution File: FLD041-4 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : FLD041-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n028.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 02:26:30 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Proof 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sum(additive_identity,a,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4)]) ).
cnf(g1,plain,
~ sum(additive_identity,b,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5)]) ).
cnf(g2,plain,
product(a,b,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_6)]) ).
cnf(g3,plain,
sum(additive_identity,c,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7)]) ).
cnf(g4,plain,
( ~ defined(a)
| sum(additive_identity,a,additive_identity)
| product(multiplicative_inverse(a),a,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g5,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g6,plain,
defined(a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).
cnf(g7,plain,
defined(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined)]) ).
cnf(g8,plain,
( ~ defined(b)
| sum(additive_identity,b,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g9,plain,
( ~ defined(b)
| sum(additive_inverse(b),b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g10,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g11,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g12,plain,
( ~ product(multiplicative_identity,a,a)
| ~ product(a,b,c)
| ~ product(a,b,c)
| product(multiplicative_identity,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g13,plain,
( ~ product(multiplicative_identity,c,c)
| product(c,multiplicative_identity,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g14,plain,
( ~ defined(b)
| product(multiplicative_identity,b,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g15,plain,
( ~ defined(c)
| sum(additive_identity,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g16,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(a,b,c)
| ~ product(multiplicative_identity,b,b)
| product(multiplicative_inverse(a),c,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g17,plain,
( ~ product(multiplicative_inverse(a),c,b)
| product(c,multiplicative_inverse(a),b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g18,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(additive_identity,c,additive_identity)
| ~ sum(additive_identity,c,c)
| sum(additive_identity,additive_identity,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g19,plain,
defined(additive_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).
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,c,c)
| ~ sum(additive_identity,c,additive_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(c,multiplicative_identity,c)
| product(c,multiplicative_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g22,plain,
( ~ product(multiplicative_identity,c,c)
| ~ product(c,multiplicative_identity,additive_identity)
| ~ product(c,multiplicative_identity,c)
| product(multiplicative_identity,additive_identity,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g23,plain,
defined(c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined)]) ).
cnf(g24,plain,
( ~ product(multiplicative_identity,additive_identity,c)
| product(additive_identity,multiplicative_identity,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g25,plain,
( ~ sum(additive_inverse(b),additive_identity,add(additive_inverse(b),additive_identity))
| ~ sum(additive_inverse(b),b,additive_identity)
| ~ sum(additive_identity,b,b)
| sum(add(additive_inverse(b),additive_identity),b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g26,plain,
( ~ defined(additive_inverse(b))
| ~ defined(additive_identity)
| sum(additive_inverse(b),additive_identity,add(additive_inverse(b),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g27,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g28,plain,
( ~ sum(add(additive_inverse(b),additive_identity),b,additive_identity)
| ~ sum(add(additive_inverse(b),additive_identity),b,additive_identity)
| ~ sum(b,b,b)
| sum(additive_identity,b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g29,plain,
( ~ sum(additive_identity,additive_identity,c)
| ~ product(additive_identity,multiplicative_identity,c)
| ~ product(additive_identity,multiplicative_identity,c)
| ~ product(c,multiplicative_identity,c)
| sum(c,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g30,plain,
( ~ sum(c,c,c)
| ~ product(c,multiplicative_inverse(a),b)
| ~ product(c,multiplicative_inverse(a),b)
| ~ product(c,multiplicative_inverse(a),b)
| sum(b,b,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : FLD041-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.13 % Command : satcop --statistics %s
% 0.13/0.33 % Computer : n028.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 : Mon Jun 6 22:17:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.48 % symbols: 15
% 0.18/0.48 % clauses: 33
% 0.18/0.48 % start clauses: 4
% 0.18/0.48 % iterative deepening steps: 256
% 0.18/0.48 % maximum path limit: 3
% 0.18/0.48 % literal attempts: 202391
% 0.18/0.48 % depth failures: 129506
% 0.18/0.48 % regularity failures: 2117
% 0.18/0.48 % tautology failures: 7258
% 0.18/0.48 % reductions: 42127
% 0.18/0.48 % extensions: 159463
% 0.18/0.48 % SAT variables: 24662
% 0.18/0.48 % SAT clauses: 56277
% 0.18/0.48 % WalkSAT solutions: 56269
% 0.18/0.48 % CDCL solutions: 6
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------