%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM021-1 : 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 0.89s 1.14s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 8 unt; 3 nHn; 17 RR)
% Number of literals : 29 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_greater_equal_a,plain,
~ less(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_greater_equal_a) ).
cnf(smaller_number,axiom,
( ~ equalish(add(successor(X37),X38),X36)
| less(X38,X36) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',smaller_number) ).
cnf(transitivity,axiom,
( ~ equalish(X55,X56)
| ~ equalish(X56,X57)
| equalish(X55,X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(b_less_than_c,plain,
less(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_less_than_c) ).
cnf(transitivity_of_less,axiom,
( ~ less(X33,X34)
| ~ less(X32,X33)
| less(X32,X34) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',transitivity_of_less) ).
cnf(c24,plain,
( ~ less(c,X45)
| less(b,X45) ),
inference(resolution,[status(thm)],[transitivity_of_less,b_less_than_c]) ).
cnf(impossible_c_divides_a,negated_conjecture,
divides(c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_c_divides_a) ).
cnf(divides_only_less_or_equal,axiom,
( ~ divides(X52,X53)
| less(X52,X53)
| equalish(X52,X53) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-2.ax',divides_only_less_or_equal) ).
cnf(c47,plain,
( less(c,a)
| equalish(c,a) ),
inference(resolution,[status(thm)],[divides_only_less_or_equal,impossible_c_divides_a]) ).
cnf(c73,plain,
( equalish(c,a)
| less(b,a) ),
inference(resolution,[status(thm)],[c47,c24]) ).
cnf(c109,plain,
equalish(c,a),
inference(resolution,[status(thm)],[c73,b_greater_equal_a]) ).
cnf(c121,plain,
( ~ equalish(X90,c)
| equalish(X90,a) ),
inference(resolution,[status(thm)],[c109,transitivity]) ).
cnf(less_lemma,axiom,
( ~ less(X46,X47)
| equalish(add(successor(predecessor_of_1st_minus_2nd(X47,X46)),X46),X47) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',less_lemma) ).
cnf(c35,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),c),
inference(resolution,[status(thm)],[less_lemma,b_less_than_c]) ).
cnf(c234,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),a),
inference(resolution,[status(thm)],[c35,c121]) ).
cnf(c876,plain,
less(b,a),
inference(resolution,[status(thm)],[c234,smaller_number]) ).
cnf(c883,plain,
$false,
inference(resolution,[status(thm)],[c876,b_greater_equal_a]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM021-1 : 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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 16:06:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.89/1.14 % Version: 1.5
% 0.89/1.14 % SZS status Unsatisfiable
% 0.89/1.14 % SZS output start CNFRefutation
% See solution above
% 0.89/1.14
% 0.89/1.14 % Initial clauses : 19
% 0.89/1.14 % Processed clauses : 201
% 0.89/1.14 % Factors computed : 2
% 0.89/1.14 % Resolvents computed: 893
% 0.89/1.14 % Tautologies deleted: 3
% 0.89/1.14 % Forward subsumed : 210
% 0.89/1.14 % Backward subsumed : 2
% 0.89/1.14 % -------- CPU Time ---------
% 0.89/1.14 % User time : 0.765 s
% 0.89/1.14 % System time : 0.019 s
% 0.89/1.14 % Total time : 0.784 s
%------------------------------------------------------------------------------