%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV402+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 17:44:54 EDT 2024
% Result : Theorem 0.39s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 21 ( 9 ~; 0 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 4 sgn 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax22,axiom,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax22) ).
fof(c49,plain,
! [U,V] : ~ pair_in_list(create_slb,U,V),
inference(fof_simplification,[status(thm)],[ax22]) ).
fof(c50,plain,
! [X38,X39] : ~ pair_in_list(create_slb,X38,X39),
inference(variable_rename,[status(thm)],[c49]) ).
cnf(c51,plain,
~ pair_in_list(create_slb,X70,X71),
inference(split_conjunct,[status(thm)],[c50]) ).
fof(l38_co,conjecture,
! [U,V,W,X] :
( ( pair_in_list(create_slb,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(create_slb,X),V,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l38_co) ).
fof(c10,negated_conjecture,
~ ! [U,V,W,X] :
( ( pair_in_list(create_slb,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(create_slb,X),V,X) ),
inference(assume_negation,[status(cth)],[l38_co]) ).
fof(c11,negated_conjecture,
~ ! [V,W,X] :
( ( pair_in_list(create_slb,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(create_slb,X),V,X) ),
inference(fof_simplification,[status(thm)],[c10]) ).
fof(c12,negated_conjecture,
? [V,W,X] :
( pair_in_list(create_slb,V,W)
& strictly_less_than(W,X)
& ~ pair_in_list(update_slb(create_slb,X),V,X) ),
inference(fof_nnf,[status(thm)],[c11]) ).
fof(c13,negated_conjecture,
? [X2,X3,X4] :
( pair_in_list(create_slb,X2,X3)
& strictly_less_than(X3,X4)
& ~ pair_in_list(update_slb(create_slb,X4),X2,X4) ),
inference(variable_rename,[status(thm)],[c12]) ).
fof(c14,negated_conjecture,
( pair_in_list(create_slb,skolem0001,skolem0002)
& strictly_less_than(skolem0002,skolem0003)
& ~ pair_in_list(update_slb(create_slb,skolem0003),skolem0001,skolem0003) ),
inference(skolemize,[status(esa)],[c13]) ).
cnf(c15,negated_conjecture,
pair_in_list(create_slb,skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c86,plain,
$false,
inference(resolution,[status(thm)],[c15,c51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV402+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 06:28:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.39/0.56 % Version: 1.5
% 0.39/0.56 % SZS status Theorem
% 0.39/0.56 % SZS output start CNFRefutation
% See solution above
% 0.39/0.56
% 0.39/0.56 % Initial clauses : 41
% 0.39/0.56 % Processed clauses : 9
% 0.39/0.56 % Factors computed : 0
% 0.39/0.56 % Resolvents computed: 2
% 0.39/0.56 % Tautologies deleted: 0
% 0.39/0.56 % Forward subsumed : 1
% 0.39/0.56 % Backward subsumed : 0
% 0.39/0.56 % -------- CPU Time ---------
% 0.39/0.56 % User time : 0.188 s
% 0.39/0.56 % System time : 0.014 s
% 0.39/0.56 % Total time : 0.202 s
%------------------------------------------------------------------------------