%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : FLD031-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 : 300s
% DateTime : Thu May 9 17:20:19 EDT 2024
% Result : Unsatisfiable 55.96s 56.17s
% Output : Refutation 55.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 11 unt; 2 nHn; 18 RR)
% Number of literals : 29 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_product_4,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_4) ).
cnf(commutativity_multiplication,axiom,
( product(X28,X27,X29)
| ~ product(X27,X28,X29) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(not_sum_3,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
cnf(a_is_defined,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(existence_of_inverse_multiplication,axiom,
( product(multiplicative_inverse(X36),X36,multiplicative_identity)
| sum(additive_identity,X36,additive_identity)
| ~ defined(X36) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(c84,plain,
( product(multiplicative_inverse(a),a,multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[existence_of_inverse_multiplication,a_is_defined]) ).
cnf(c7377,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(resolution,[status(thm)],[c84,not_sum_3]) ).
cnf(product_2,negated_conjecture,
product(multiplicative_identity,a,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_2) ).
cnf(c62,plain,
product(a,multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[commutativity_multiplication,product_2]) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X17,X17)
| ~ defined(X17) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c44,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[existence_of_identity_multiplication,well_definedness_of_multiplicative_identity]) ).
cnf(associativity_multiplication_1,axiom,
( product(X24,X25,X22)
| ~ product(X24,X26,X21)
| ~ product(X26,X23,X25)
| ~ product(X21,X23,X22) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(c60,plain,
( product(X164,X165,multiplicative_identity)
| ~ product(X164,X163,multiplicative_identity)
| ~ product(X163,multiplicative_identity,X165) ),
inference(resolution,[status(thm)],[associativity_multiplication_1,c44]) ).
cnf(c5311,plain,
( product(X510,multiplicative_identity,multiplicative_identity)
| ~ product(X510,a,multiplicative_identity) ),
inference(resolution,[status(thm)],[c60,c62]) ).
cnf(c152175,plain,
product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[c5311,c7377]) ).
cnf(c152186,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
inference(resolution,[status(thm)],[c152175,commutativity_multiplication]) ).
cnf(c153300,plain,
$false,
inference(resolution,[status(thm)],[c152186,not_product_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : FLD031-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 23:43:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 55.96/56.17 % Version: 1.5
% 55.96/56.17 % SZS status Unsatisfiable
% 55.96/56.17 % SZS output start CNFRefutation
% See solution above
% 55.96/56.17
% 55.96/56.17 % Initial clauses : 30
% 55.96/56.17 % Processed clauses : 1565
% 55.96/56.17 % Factors computed : 74
% 55.96/56.17 % Resolvents computed: 153235
% 55.96/56.17 % Tautologies deleted: 49
% 55.96/56.17 % Forward subsumed : 213
% 55.96/56.17 % Backward subsumed : 4
% 55.96/56.17 % -------- CPU Time ---------
% 55.96/56.17 % User time : 55.528 s
% 55.96/56.17 % System time : 0.262 s
% 55.96/56.17 % Total time : 55.790 s
%------------------------------------------------------------------------------