%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 17:35:01 EDT 2024
% Result : Unsatisfiable 0.38s 0.61s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(deny_addition_lemma,negated_conjecture,
~ equalish(add(a,successor(n0)),successor(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deny_addition_lemma) ).
cnf(addition,axiom,
equalish(add(X8,successor(X9)),successor(add(X8,X9))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',addition) ).
cnf(transitivity,axiom,
( ~ equalish(X24,X25)
| ~ equalish(X25,X23)
| equalish(X24,X23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
cnf(adding_zero,axiom,
equalish(add(X4,n0),X4),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',adding_zero) ).
cnf(successor_substitution,axiom,
( ~ equalish(X18,X19)
| equalish(successor(X18),successor(X19)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',successor_substitution) ).
cnf(c11,plain,
equalish(successor(add(X31,n0)),successor(X31)),
inference(resolution,[status(thm)],[successor_substitution,adding_zero]) ).
cnf(c35,plain,
( ~ equalish(X102,successor(add(X101,n0)))
| equalish(X102,successor(X101)) ),
inference(resolution,[status(thm)],[c11,transitivity]) ).
cnf(c219,plain,
equalish(add(X104,successor(n0)),successor(X104)),
inference(resolution,[status(thm)],[c35,addition]) ).
cnf(c230,plain,
$false,
inference(resolution,[status(thm)],[c219,deny_addition_lemma]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n012.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 17:08:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.38/0.61 % Version: 1.5
% 0.38/0.61 % SZS status Unsatisfiable
% 0.38/0.61 % SZS output start CNFRefutation
% See solution above
% 0.38/0.61
% 0.38/0.61 % Initial clauses : 12
% 0.38/0.61 % Processed clauses : 53
% 0.38/0.61 % Factors computed : 1
% 0.38/0.61 % Resolvents computed: 233
% 0.38/0.61 % Tautologies deleted: 2
% 0.38/0.61 % Forward subsumed : 56
% 0.38/0.61 % Backward subsumed : 0
% 0.38/0.61 % -------- CPU Time ---------
% 0.38/0.61 % User time : 0.248 s
% 0.38/0.61 % System time : 0.014 s
% 0.38/0.61 % Total time : 0.262 s
%------------------------------------------------------------------------------