%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : FLD019-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 17:20:16 EDT 2024
% Result : Unsatisfiable 70.89s 71.12s
% Output : Refutation 70.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 14 RR)
% Number of literals : 23 ( 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,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
cnf(a_is_defined,plain,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_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(c20,plain,
sum(additive_identity,a,a),
inference(resolution,[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(commutativity_addition,axiom,
( sum(X19,X18,X20)
| ~ sum(X18,X19,X20) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(sum_2,negated_conjecture,
sum(additive_identity,additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_2) ).
cnf(c76,plain,
sum(additive_inverse(a),additive_identity,additive_identity),
inference(resolution,[status(thm)],[sum_2,commutativity_addition]) ).
cnf(associativity_addition_2,axiom,
( sum(X14,X11,X13)
| ~ sum(X9,X10,X14)
| ~ sum(X10,X11,X12)
| ~ sum(X9,X12,X13) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
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(c33,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(c108,plain,
( sum(X232,X231,additive_identity)
| ~ sum(additive_inverse(a),X230,X232)
| ~ sum(X230,X231,a) ),
inference(resolution,[status(thm)],[c33,associativity_addition_2]) ).
cnf(c9451,plain,
( sum(additive_identity,X542,additive_identity)
| ~ sum(additive_identity,X542,a) ),
inference(resolution,[status(thm)],[c108,c76]) ).
cnf(c178909,plain,
sum(additive_identity,a,additive_identity),
inference(resolution,[status(thm)],[c9451,c20]) ).
cnf(c178915,plain,
$false,
inference(resolution,[status(thm)],[c178909,not_sum_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD019-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n023.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 23:55:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 70.89/71.12 % Version: 1.5
% 70.89/71.12 % SZS status Unsatisfiable
% 70.89/71.12 % SZS output start CNFRefutation
% See solution above
% 70.89/71.12
% 70.89/71.12 % Initial clauses : 29
% 70.89/71.12 % Processed clauses : 1710
% 70.89/71.12 % Factors computed : 72
% 70.89/71.12 % Resolvents computed: 178855
% 70.89/71.12 % Tautologies deleted: 58
% 70.89/71.12 % Forward subsumed : 238
% 70.89/71.12 % Backward subsumed : 4
% 70.89/71.12 % -------- CPU Time ---------
% 70.89/71.12 % User time : 70.361 s
% 70.89/71.12 % System time : 0.360 s
% 70.89/71.12 % Total time : 70.721 s
%------------------------------------------------------------------------------