%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : FLD018-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:20:15 EDT 2024
% Result : Unsatisfiable 34.80s 35.05s
% Output : Refutation 34.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 25 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_sum_3,negated_conjecture,
~ sum(additive_identity,additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
cnf(commutativity_addition,axiom,
( sum(X19,X18,X20)
| ~ sum(X18,X19,X20) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(a_is_defined,plain,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X16),X16,additive_identity)
| ~ defined(X16) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(c35,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(sum_2,negated_conjecture,
sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_2) ).
cnf(c48,plain,
sum(a,additive_identity,additive_identity),
inference(resolution,[status(thm)],[commutativity_addition,sum_2]) ).
cnf(associativity_addition_1,axiom,
( sum(X7,X3,X6)
| ~ sum(X7,X8,X5)
| ~ sum(X8,X4,X3)
| ~ sum(X5,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X15,X15)
| ~ defined(X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c17,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(resolution,[status(thm)],[existence_of_identity_addition,well_definedness_of_additive_identity]) ).
cnf(c25,plain,
( sum(X121,X122,additive_identity)
| ~ sum(X121,X123,additive_identity)
| ~ sum(X123,additive_identity,X122) ),
inference(resolution,[status(thm)],[c17,associativity_addition_1]) ).
cnf(c2184,plain,
( sum(X473,additive_identity,additive_identity)
| ~ sum(X473,a,additive_identity) ),
inference(resolution,[status(thm)],[c25,c48]) ).
cnf(c102014,plain,
sum(additive_inverse(a),additive_identity,additive_identity),
inference(resolution,[status(thm)],[c2184,c35]) ).
cnf(c102854,plain,
sum(additive_identity,additive_inverse(a),additive_identity),
inference(resolution,[status(thm)],[c102014,commutativity_addition]) ).
cnf(c104539,plain,
$false,
inference(resolution,[status(thm)],[c102854,not_sum_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD018-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n018.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 : 300
% 0.13/0.35 % DateTime : Wed May 8 23:57:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 34.80/35.05 % Version: 1.5
% 34.80/35.05 % SZS status Unsatisfiable
% 34.80/35.05 % SZS output start CNFRefutation
% See solution above
% 34.80/35.05
% 34.80/35.05 % Initial clauses : 29
% 34.80/35.05 % Processed clauses : 1267
% 34.80/35.05 % Factors computed : 72
% 34.80/35.05 % Resolvents computed: 104470
% 34.80/35.05 % Tautologies deleted: 49
% 34.80/35.05 % Forward subsumed : 245
% 34.80/35.05 % Backward subsumed : 8
% 34.80/35.05 % -------- CPU Time ---------
% 34.80/35.05 % User time : 34.510 s
% 34.80/35.05 % System time : 0.164 s
% 34.80/35.05 % Total time : 34.674 s
%------------------------------------------------------------------------------