%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KLE057+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 17:28:11 EDT 2024
% Result : Theorem 0.57s 0.78s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 4 |; 3 &)
% ( 0 <=>; 1 =>; 2 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X0] :
( domain(X0) = zero
<= X0 = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(c4,negated_conjecture,
~ ! [X0] :
( domain(X0) = zero
<= X0 = zero ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c5,negated_conjecture,
~ ! [X0] :
( X0 = zero
=> domain(X0) = zero ),
inference(fof_simplification,[status(thm)],[c4]) ).
fof(c6,negated_conjecture,
? [X0] :
( X0 = zero
& domain(X0) != zero ),
inference(fof_nnf,[status(thm)],[c5]) ).
fof(c7,negated_conjecture,
? [X2] :
( X2 = zero
& domain(X2) != zero ),
inference(variable_rename,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
( skolem0001 = zero
& domain(skolem0001) != zero ),
inference(skolemize,[status(esa)],[c7]) ).
cnf(c10,negated_conjecture,
domain(skolem0001) != zero,
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(c9,negated_conjecture,
skolem0001 = zero,
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(c2,axiom,
( X61 != X60
| domain(X61) = domain(X60) ),
theory(equality) ).
cnf(c106,plain,
domain(skolem0001) = domain(zero),
inference(resolution,[status(thm)],[c2,c9]) ).
cnf(transitivity,axiom,
( X39 != X40
| X40 != X38
| X39 = X38 ),
theory(equality) ).
fof(domain4,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain4) ).
cnf(c13,plain,
domain(zero) = zero,
inference(split_conjunct,[status(thm)],[domain4]) ).
cnf(c67,plain,
( X171 != domain(zero)
| X171 = zero ),
inference(resolution,[status(thm)],[c13,transitivity]) ).
cnf(c888,plain,
domain(skolem0001) = zero,
inference(resolution,[status(thm)],[c67,c106]) ).
cnf(c900,plain,
$false,
inference(resolution,[status(thm)],[c888,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE057+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 9 06:51:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.57/0.78 % Version: 1.5
% 0.57/0.78 % SZS status Theorem
% 0.57/0.78 % SZS output start CNFRefutation
% See solution above
% 0.57/0.78
% 0.57/0.78 % Initial clauses : 27
% 0.57/0.78 % Processed clauses : 86
% 0.57/0.78 % Factors computed : 3
% 0.57/0.78 % Resolvents computed: 860
% 0.57/0.78 % Tautologies deleted: 2
% 0.57/0.78 % Forward subsumed : 66
% 0.57/0.78 % Backward subsumed : 0
% 0.57/0.78 % -------- CPU Time ---------
% 0.57/0.78 % User time : 0.399 s
% 0.57/0.78 % System time : 0.019 s
% 0.57/0.78 % Total time : 0.418 s
%------------------------------------------------------------------------------