%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : FLD069-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 17:20:29 EDT 2024
% Result : Unsatisfiable 159.08s 159.37s
% Output : Refutation 159.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 25 ( 14 unt; 0 nHn; 25 RR)
% Number of literals : 43 ( 0 equ; 19 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 : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_sum_5,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
cnf(less_or_equal_4,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
cnf(antisymmetry_of_order_relation,axiom,
( sum(additive_identity,X66,X65)
| ~ less_or_equal(X66,X65)
| ~ less_or_equal(X65,X66) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
cnf(c562,plain,
( sum(additive_identity,b,additive_identity)
| ~ less_or_equal(b,additive_identity) ),
inference(resolution,[status(thm)],[antisymmetry_of_order_relation,less_or_equal_4]) ).
cnf(less_or_equal_3,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
cnf(commutativity_addition,axiom,
( sum(X18,X19,X20)
| ~ sum(X19,X18,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(c45,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(sum_6,negated_conjecture,
sum(a,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
cnf(associativity_addition_1,axiom,
( sum(X4,X2,X5)
| ~ sum(X4,X7,X6)
| ~ sum(X7,X3,X2)
| ~ sum(X6,X3,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(b_is_defined,plain,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
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(c16,plain,
sum(additive_identity,b,b),
inference(resolution,[status(thm)],[existence_of_identity_addition,b_is_defined]) ).
cnf(c33,plain,
( sum(X126,X127,b)
| ~ sum(X126,X125,additive_identity)
| ~ sum(X125,b,X127) ),
inference(resolution,[status(thm)],[c16,associativity_addition_1]) ).
cnf(c2540,plain,
( sum(X608,additive_identity,b)
| ~ sum(X608,a,additive_identity) ),
inference(resolution,[status(thm)],[c33,sum_6]) ).
cnf(c288535,plain,
sum(additive_inverse(a),additive_identity,b),
inference(resolution,[status(thm)],[c2540,c45]) ).
cnf(c288549,plain,
sum(additive_identity,additive_inverse(a),b),
inference(resolution,[status(thm)],[c288535,commutativity_addition]) ).
cnf(c170,plain,
sum(a,additive_inverse(a),additive_identity),
inference(resolution,[status(thm)],[c45,commutativity_addition]) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X78,X75)
| ~ less_or_equal(X77,X79)
| ~ sum(X77,X76,X78)
| ~ sum(X79,X76,X75) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c781,plain,
( less_or_equal(X652,additive_identity)
| ~ less_or_equal(X651,a)
| ~ sum(X651,additive_inverse(a),X652) ),
inference(resolution,[status(thm)],[compatibility_of_order_relation_and_addition,c170]) ).
cnf(c369803,plain,
( less_or_equal(b,additive_identity)
| ~ less_or_equal(additive_identity,a) ),
inference(resolution,[status(thm)],[c781,c288549]) ).
cnf(c369805,plain,
less_or_equal(b,additive_identity),
inference(resolution,[status(thm)],[c369803,less_or_equal_3]) ).
cnf(c369809,plain,
sum(additive_identity,b,additive_identity),
inference(resolution,[status(thm)],[c369805,c562]) ).
cnf(c369819,plain,
$false,
inference(resolution,[status(thm)],[c369809,not_sum_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD069-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 23:53:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 159.08/159.37 % Version: 1.5
% 159.08/159.37 % SZS status Unsatisfiable
% 159.08/159.37 % SZS output start CNFRefutation
% See solution above
% 159.08/159.37
% 159.08/159.37 % Initial clauses : 32
% 159.08/159.37 % Processed clauses : 2334
% 159.08/159.37 % Factors computed : 86
% 159.08/159.37 % Resolvents computed: 369751
% 159.08/159.37 % Tautologies deleted: 53
% 159.08/159.37 % Forward subsumed : 266
% 159.08/159.37 % Backward subsumed : 7
% 159.08/159.37 % -------- CPU Time ---------
% 159.08/159.37 % User time : 158.335 s
% 159.08/159.37 % System time : 0.604 s
% 159.08/159.37 % Total time : 158.939 s
%------------------------------------------------------------------------------