%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV152+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 17:44:20 EDT 2024
% Result : Theorem 40.52s 40.69s
% Output : Refutation 40.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 18 unt; 0 def)
% Number of atoms : 68 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 18 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexivity_gt,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(c451,plain,
! [X] : ~ gt(X,X),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c452,plain,
! [X175] : ~ gt(X175,X175),
inference(variable_rename,[status(thm)],[c451]) ).
cnf(c453,plain,
~ gt(X183,X183),
inference(split_conjunct,[status(thm)],[c452]) ).
fof(leq_succ_gt,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(c108,plain,
! [X,Y] :
( ~ leq(succ(X),Y)
| gt(Y,X) ),
inference(fof_nnf,[status(thm)],[leq_succ_gt]) ).
fof(c109,plain,
! [X43,X44] :
( ~ leq(succ(X43),X44)
| gt(X44,X43) ),
inference(variable_rename,[status(thm)],[c108]) ).
cnf(c110,plain,
( ~ leq(succ(X318),X319)
| gt(X319,X318) ),
inference(split_conjunct,[status(thm)],[c109]) ).
fof(cl5_nebula_norm_0002,conjecture,
! [A] :
( ( leq(n0,A)
& leq(A,tptp_minus_1) )
=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0002) ).
fof(c66,negated_conjecture,
~ ! [A] :
( ( leq(n0,A)
& leq(A,tptp_minus_1) )
=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0002]) ).
fof(c67,negated_conjecture,
? [A] :
( leq(n0,A)
& leq(A,tptp_minus_1)
& sum(n0,n4,a_select3(q,A,tptp_sum_index)) != n1 ),
inference(fof_nnf,[status(thm)],[c66]) ).
fof(c68,negated_conjecture,
? [X8] :
( leq(n0,X8)
& leq(X8,tptp_minus_1)
& sum(n0,n4,a_select3(q,X8,tptp_sum_index)) != n1 ),
inference(variable_rename,[status(thm)],[c67]) ).
fof(c69,negated_conjecture,
( leq(n0,skolem0001)
& leq(skolem0001,tptp_minus_1)
& sum(n0,n4,a_select3(q,skolem0001,tptp_sum_index)) != n1 ),
inference(skolemize,[status(esa)],[c68]) ).
cnf(c71,negated_conjecture,
leq(skolem0001,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c69]) ).
fof(transitivity_leq,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(c446,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(fof_nnf,[status(thm)],[transitivity_leq]) ).
fof(c447,plain,
! [X171,X172,X173] :
( ~ leq(X171,X172)
| ~ leq(X172,X173)
| leq(X171,X173) ),
inference(variable_rename,[status(thm)],[c446]) ).
cnf(c448,plain,
( ~ leq(X2170,X2172)
| ~ leq(X2172,X2171)
| leq(X2170,X2171) ),
inference(split_conjunct,[status(thm)],[c447]) ).
cnf(c24827,plain,
( ~ leq(X2344,skolem0001)
| leq(X2344,tptp_minus_1) ),
inference(resolution,[status(thm)],[c448,c71]) ).
cnf(c70,negated_conjecture,
leq(n0,skolem0001),
inference(split_conjunct,[status(thm)],[c69]) ).
cnf(c24807,plain,
( ~ leq(X2242,n0)
| leq(X2242,skolem0001) ),
inference(resolution,[status(thm)],[c448,c70]) ).
cnf(symmetry,axiom,
( X184 != X185
| X185 = X184 ),
theory(equality) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
cnf(c143,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c487,plain,
n0 = succ(tptp_minus_1),
inference(resolution,[status(thm)],[c143,symmetry]) ).
cnf(reflexivity,axiom,
X181 = X181,
theory(equality) ).
fof(reflexivity_leq,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(c449,plain,
! [X174] : leq(X174,X174),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c450,plain,
leq(X182,X182),
inference(split_conjunct,[status(thm)],[c449]) ).
cnf(c19,axiom,
( X287 != X288
| X286 != X289
| ~ leq(X287,X286)
| leq(X288,X289) ),
theory(equality) ).
cnf(c680,plain,
( X2897 != X2899
| X2897 != X2898
| leq(X2899,X2898) ),
inference(resolution,[status(thm)],[c19,c450]) ).
cnf(c49415,plain,
( X2903 != X2902
| leq(X2902,X2903) ),
inference(resolution,[status(thm)],[c680,reflexivity]) ).
cnf(c49451,plain,
leq(succ(tptp_minus_1),n0),
inference(resolution,[status(thm)],[c49415,c487]) ).
cnf(c49880,plain,
leq(succ(tptp_minus_1),skolem0001),
inference(resolution,[status(thm)],[c49451,c24807]) ).
cnf(c51265,plain,
leq(succ(tptp_minus_1),tptp_minus_1),
inference(resolution,[status(thm)],[c49880,c24827]) ).
cnf(c51769,plain,
gt(tptp_minus_1,tptp_minus_1),
inference(resolution,[status(thm)],[c51265,c110]) ).
cnf(c51789,plain,
$false,
inference(resolution,[status(thm)],[c51769,c453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : SWV152+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 9 06:40:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 40.52/40.69 % Version: 1.5
% 40.52/40.69 % SZS status Theorem
% 40.52/40.69 % SZS output start CNFRefutation
% See solution above
% 40.52/40.70
% 40.52/40.70 % Initial clauses : 315
% 40.52/40.70 % Processed clauses : 1386
% 40.52/40.70 % Factors computed : 445
% 40.52/40.70 % Resolvents computed: 50887
% 40.52/40.70 % Tautologies deleted: 5
% 40.52/40.70 % Forward subsumed : 1119
% 40.52/40.70 % Backward subsumed : 0
% 40.52/40.70 % -------- CPU Time ---------
% 40.52/40.70 % User time : 40.098 s
% 40.52/40.70 % System time : 0.224 s
% 40.52/40.70 % Total time : 40.322 s
%------------------------------------------------------------------------------