%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : FLD065-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 175.32s 175.54s
% Output : Refutation 175.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 0 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 9 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 : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_less_or_equal_3,negated_conjecture,
~ less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_3) ).
cnf(less_or_equal_2,negated_conjecture,
less_or_equal(additive_inverse(a),additive_identity),
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(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(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(c15,plain,
sum(additive_identity,a,a),
inference(resolution,[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X77,X78)
| ~ less_or_equal(X79,X80)
| ~ sum(X79,X81,X77)
| ~ sum(X80,X81,X78) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c781,plain,
( less_or_equal(X615,a)
| ~ less_or_equal(X614,additive_identity)
| ~ sum(X614,a,X615) ),
inference(resolution,[status(thm)],[compatibility_of_order_relation_and_addition,c15]) ).
cnf(c310668,plain,
( less_or_equal(additive_identity,a)
| ~ less_or_equal(additive_inverse(a),additive_identity) ),
inference(resolution,[status(thm)],[c781,c26]) ).
cnf(c374010,plain,
less_or_equal(additive_identity,a),
inference(resolution,[status(thm)],[c310668,less_or_equal_2]) ).
cnf(c374011,plain,
$false,
inference(resolution,[status(thm)],[c374010,not_less_or_equal_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD065-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 23:57:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 175.32/175.54 % Version: 1.5
% 175.32/175.54 % SZS status Unsatisfiable
% 175.32/175.54 % SZS output start CNFRefutation
% See solution above
% 175.32/175.54
% 175.32/175.54 % Initial clauses : 29
% 175.32/175.54 % Processed clauses : 2396
% 175.32/175.54 % Factors computed : 68
% 175.32/175.54 % Resolvents computed: 373947
% 175.32/175.54 % Tautologies deleted: 79
% 175.32/175.54 % Forward subsumed : 306
% 175.32/175.54 % Backward subsumed : 10
% 175.32/175.54 % -------- CPU Time ---------
% 175.32/175.54 % User time : 174.554 s
% 175.32/175.54 % System time : 0.614 s
% 175.32/175.54 % Total time : 175.168 s
%------------------------------------------------------------------------------