TSTP Solution File: FLD044-4 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : FLD044-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n029.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 02:26:31 EDT 2022
% Result : Unsatisfiable 1.59s 0.60s
% Output : Proof 1.59s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
product(a,b,u),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4)]) ).
cnf(g1,plain,
~ product(additive_inverse(a),b,additive_inverse(u)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5)]) ).
cnf(g2,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g3,plain,
( ~ defined(a)
| sum(additive_inverse(a),a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g4,plain,
( ~ defined(u)
| sum(additive_inverse(u),u,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g5,plain,
( ~ defined(u)
| sum(additive_identity,u,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g6,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(g7,plain,
( ~ defined(additive_inverse(u))
| sum(additive_identity,additive_inverse(u),additive_inverse(u)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g8,plain,
defined(a),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined)]) ).
cnf(g9,plain,
defined(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined)]) ).
cnf(g10,plain,
defined(additive_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).
cnf(g11,plain,
defined(u),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined)]) ).
cnf(g12,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(g13,plain,
( ~ product(b,additive_identity,multiply(b,additive_identity))
| product(additive_identity,b,multiply(b,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g14,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(g15,plain,
( ~ sum(a,additive_inverse(a),additive_identity)
| ~ product(a,b,u)
| ~ product(additive_inverse(a),b,multiply(additive_inverse(a),b))
| ~ product(additive_identity,b,multiply(b,additive_identity))
| sum(u,multiply(additive_inverse(a),b),multiply(b,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g16,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(g17,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g18,plain,
( ~ defined(multiply(b,additive_identity))
| sum(additive_identity,multiply(b,additive_identity),multiply(b,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g19,plain,
( ~ sum(additive_identity,u,u)
| ~ sum(additive_identity,multiply(b,additive_identity),additive_identity)
| ~ sum(u,multiply(additive_inverse(a),b),multiply(b,additive_identity))
| sum(u,multiply(additive_inverse(a),b),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g20,plain,
( ~ sum(additive_identity,a,a)
| sum(a,additive_identity,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g21,plain,
( ~ sum(a,additive_identity,a)
| ~ product(a,b,u)
| ~ product(additive_identity,b,multiply(b,additive_identity))
| ~ product(a,b,u)
| sum(u,multiply(b,additive_identity),u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g22,plain,
( ~ sum(additive_inverse(u),u,additive_identity)
| ~ sum(u,multiply(b,additive_identity),u)
| ~ sum(additive_identity,multiply(b,additive_identity),multiply(b,additive_identity))
| sum(additive_inverse(u),u,multiply(b,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g23,plain,
( ~ defined(u)
| defined(additive_inverse(u)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g24,plain,
( ~ sum(additive_inverse(u),u,additive_identity)
| ~ sum(additive_inverse(u),u,additive_identity)
| ~ sum(u,multiply(b,additive_identity),u)
| sum(additive_identity,multiply(b,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g25,plain,
( ~ defined(b)
| ~ defined(additive_identity)
| defined(multiply(b,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g26,plain,
( ~ sum(additive_identity,additive_inverse(a),additive_inverse(a))
| ~ sum(multiply(b,additive_identity),multiply(additive_inverse(a),b),additive_inverse(u))
| ~ product(additive_identity,b,multiply(b,additive_identity))
| ~ product(additive_inverse(a),b,multiply(additive_inverse(a),b))
| product(additive_inverse(a),b,additive_inverse(u)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g27,plain,
( ~ sum(multiply(additive_inverse(a),b),multiply(b,additive_identity),additive_inverse(u))
| sum(multiply(b,additive_identity),multiply(additive_inverse(a),b),additive_inverse(u)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g28,plain,
( ~ sum(additive_inverse(u),u,multiply(b,additive_identity))
| sum(u,additive_inverse(u),multiply(b,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g29,plain,
( ~ sum(multiply(additive_inverse(a),b),u,additive_identity)
| ~ sum(u,additive_inverse(u),multiply(b,additive_identity))
| ~ sum(additive_identity,additive_inverse(u),additive_inverse(u))
| sum(multiply(additive_inverse(a),b),multiply(b,additive_identity),additive_inverse(u)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g30,plain,
( ~ sum(u,multiply(additive_inverse(a),b),additive_identity)
| sum(multiply(additive_inverse(a),b),u,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD044-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.14 % Command : satcop --statistics %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 Jun 6 21:01:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.59/0.60 % symbols: 15
% 1.59/0.60 % clauses: 31
% 1.59/0.60 % start clauses: 2
% 1.59/0.60 % iterative deepening steps: 392
% 1.59/0.60 % maximum path limit: 3
% 1.59/0.60 % literal attempts: 273350
% 1.59/0.60 % depth failures: 162480
% 1.59/0.60 % regularity failures: 3350
% 1.59/0.60 % tautology failures: 7641
% 1.59/0.60 % reductions: 60825
% 1.59/0.60 % extensions: 212035
% 1.59/0.60 % SAT variables: 41426
% 1.59/0.60 % SAT clauses: 101509
% 1.59/0.60 % WalkSAT solutions: 101501
% 1.59/0.60 % CDCL solutions: 3
% 1.59/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.59/0.60 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------