%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM024-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 17:35:02 EDT 2024
% Result : Unsatisfiable 3.52s 3.70s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 23 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_contradiction,negated_conjecture,
~ equalish(successor(X3),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_contradiction) ).
cnf(plus_substitution,axiom,
( ~ equalish(add(X56,X54),add(X55,X54))
| equalish(X56,X55) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_substitution) ).
cnf(transitivity,axiom,
( ~ equalish(X32,X33)
| ~ equalish(X33,X34)
| equalish(X32,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(symmetry,axiom,
( ~ equalish(X5,X6)
| equalish(X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
cnf(commutativity_of_plus,axiom,
equalish(add(X18,X17),add(X17,X18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_plus) ).
cnf(adding_zero,axiom,
equalish(add(X4,n0),X4),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-0.ax',adding_zero) ).
cnf(c23,plain,
( ~ equalish(X61,add(X62,n0))
| equalish(X61,X62) ),
inference(resolution,[status(thm)],[transitivity,adding_zero]) ).
cnf(c57,plain,
equalish(add(n0,X67),X67),
inference(resolution,[status(thm)],[c23,commutativity_of_plus]) ).
cnf(c64,plain,
equalish(X68,add(n0,X68)),
inference(resolution,[status(thm)],[c57,symmetry]) ).
cnf(c66,plain,
( ~ equalish(X97,X96)
| equalish(X97,add(n0,X96)) ),
inference(resolution,[status(thm)],[c64,transitivity]) ).
cnf(impossible_a_is_less_than_itself,plain,
less(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_a_is_less_than_itself) ).
cnf(less_lemma,axiom,
( ~ less(X47,X46)
| equalish(add(successor(predecessor_of_1st_minus_2nd(X46,X47)),X47),X46) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',less_lemma) ).
cnf(c39,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),a),
inference(resolution,[status(thm)],[less_lemma,impossible_a_is_less_than_itself]) ).
cnf(c342,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),add(n0,a)),
inference(resolution,[status(thm)],[c39,c66]) ).
cnf(c7166,plain,
equalish(successor(predecessor_of_1st_minus_2nd(a,a)),n0),
inference(resolution,[status(thm)],[c342,plus_substitution]) ).
cnf(c7183,plain,
$false,
inference(resolution,[status(thm)],[c7166,prove_a_contradiction]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM024-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.07/0.13 % 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
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 16:23:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 3.52/3.70 % Version: 1.5
% 3.52/3.70 % SZS status Unsatisfiable
% 3.52/3.70 % SZS output start CNFRefutation
% See solution above
% 3.52/3.70
% 3.52/3.70 % Initial clauses : 16
% 3.52/3.70 % Processed clauses : 443
% 3.52/3.70 % Factors computed : 2
% 3.52/3.70 % Resolvents computed: 7186
% 3.52/3.70 % Tautologies deleted: 4
% 3.52/3.70 % Forward subsumed : 653
% 3.52/3.70 % Backward subsumed : 11
% 3.52/3.70 % -------- CPU Time ---------
% 3.52/3.70 % User time : 3.335 s
% 3.52/3.70 % System time : 0.019 s
% 3.52/3.70 % Total time : 3.354 s
%------------------------------------------------------------------------------