%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : FLD064-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:20:28 EDT 2024
% Result : Unsatisfiable 173.74s 173.95s
% Output : Refutation 173.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 9 unt; 0 nHn; 16 RR)
% Number of literals : 26 ( 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_less_or_equal_3,negated_conjecture,
~ less_or_equal(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_3) ).
cnf(less_or_equal_2,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_2) ).
cnf(a_is_defined,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X2))
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(c0,plain,
defined(additive_inverse(a)),
inference(resolution,[status(thm)],[well_definedness_of_additive_inverse,a_is_defined]) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X15,X15)
| ~ defined(X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c16,plain,
sum(additive_identity,additive_inverse(a),additive_inverse(a)),
inference(resolution,[status(thm)],[existence_of_identity_addition,c0]) ).
cnf(commutativity_addition,axiom,
( sum(X18,X20,X19)
| ~ sum(X20,X18,X19) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X16),X16,additive_identity)
| ~ defined(X16) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(c26,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(c100,plain,
sum(a,additive_inverse(a),additive_identity),
inference(resolution,[status(thm)],[c26,commutativity_addition]) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X80,X77)
| ~ less_or_equal(X78,X79)
| ~ sum(X78,X81,X80)
| ~ sum(X79,X81,X77) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c776,plain,
( less_or_equal(X601,additive_identity)
| ~ less_or_equal(X602,a)
| ~ sum(X602,additive_inverse(a),X601) ),
inference(resolution,[status(thm)],[compatibility_of_order_relation_and_addition,c100]) ).
cnf(c304173,plain,
( less_or_equal(additive_inverse(a),additive_identity)
| ~ less_or_equal(additive_identity,a) ),
inference(resolution,[status(thm)],[c776,c16]) ).
cnf(c364076,plain,
less_or_equal(additive_inverse(a),additive_identity),
inference(resolution,[status(thm)],[c304173,less_or_equal_2]) ).
cnf(c365823,plain,
$false,
inference(resolution,[status(thm)],[c364076,not_less_or_equal_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD064-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n025.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 : Thu May 9 00:03:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 173.74/173.95 % Version: 1.5
% 173.74/173.95 % SZS status Unsatisfiable
% 173.74/173.95 % SZS output start CNFRefutation
% See solution above
% 173.74/173.95
% 173.74/173.95 % Initial clauses : 29
% 173.74/173.95 % Processed clauses : 2370
% 173.74/173.95 % Factors computed : 68
% 173.74/173.95 % Resolvents computed: 365758
% 173.74/173.95 % Tautologies deleted: 79
% 173.74/173.95 % Forward subsumed : 300
% 173.74/173.95 % Backward subsumed : 6
% 173.74/173.95 % -------- CPU Time ---------
% 173.74/173.95 % User time : 172.940 s
% 173.74/173.95 % System time : 0.637 s
% 173.74/173.95 % Total time : 173.577 s
%------------------------------------------------------------------------------