TSTP Solution File: SWV165+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV165+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:44:21 EDT 2024
% Result : Theorem 43.13s 43.31s
% Output : Refutation 43.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 18 unt; 0 def)
% Number of atoms : 71 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 27 ~; 18 |; 11 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 46 ( 0 sgn 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexivity_gt,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(c452,plain,
! [X] : ~ gt(X,X),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c453,plain,
! [X175] : ~ gt(X175,X175),
inference(variable_rename,[status(thm)],[c452]) ).
cnf(c454,plain,
~ gt(X183,X183),
inference(split_conjunct,[status(thm)],[c453]) ).
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(c109,plain,
! [X,Y] :
( ~ leq(succ(X),Y)
| gt(Y,X) ),
inference(fof_nnf,[status(thm)],[leq_succ_gt]) ).
fof(c110,plain,
! [X43,X44] :
( ~ leq(succ(X43),X44)
| gt(X44,X43) ),
inference(variable_rename,[status(thm)],[c109]) ).
cnf(c111,plain,
( ~ leq(succ(X319),X320)
| gt(X320,X319) ),
inference(split_conjunct,[status(thm)],[c110]) ).
fof(cl5_nebula_init_0001,conjecture,
! [A] :
( ( leq(n0,A)
& leq(A,tptp_minus_1) )
=> uninit = init ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0001) ).
fof(c66,negated_conjecture,
~ ! [A] :
( ( leq(n0,A)
& leq(A,tptp_minus_1) )
=> uninit = init ),
inference(assume_negation,[status(cth)],[cl5_nebula_init_0001]) ).
fof(c67,negated_conjecture,
? [A] :
( leq(n0,A)
& leq(A,tptp_minus_1)
& uninit != init ),
inference(fof_nnf,[status(thm)],[c66]) ).
fof(c68,negated_conjecture,
( ? [A] :
( leq(n0,A)
& leq(A,tptp_minus_1) )
& uninit != init ),
inference(shift_quantors,[status(thm)],[c67]) ).
fof(c69,negated_conjecture,
( ? [X8] :
( leq(n0,X8)
& leq(X8,tptp_minus_1) )
& uninit != init ),
inference(variable_rename,[status(thm)],[c68]) ).
fof(c70,negated_conjecture,
( leq(n0,skolem0001)
& leq(skolem0001,tptp_minus_1)
& uninit != init ),
inference(skolemize,[status(esa)],[c69]) ).
cnf(c72,negated_conjecture,
leq(skolem0001,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c70]) ).
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(c447,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(fof_nnf,[status(thm)],[transitivity_leq]) ).
fof(c448,plain,
! [X171,X172,X173] :
( ~ leq(X171,X172)
| ~ leq(X172,X173)
| leq(X171,X173) ),
inference(variable_rename,[status(thm)],[c447]) ).
cnf(c449,plain,
( ~ leq(X2176,X2175)
| ~ leq(X2175,X2177)
| leq(X2176,X2177) ),
inference(split_conjunct,[status(thm)],[c448]) ).
cnf(c24846,plain,
( ~ leq(X2434,skolem0001)
| leq(X2434,tptp_minus_1) ),
inference(resolution,[status(thm)],[c449,c72]) ).
cnf(c71,negated_conjecture,
leq(n0,skolem0001),
inference(split_conjunct,[status(thm)],[c70]) ).
cnf(c24819,plain,
( ~ leq(X2352,n0)
| leq(X2352,skolem0001) ),
inference(resolution,[status(thm)],[c449,c71]) ).
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(c144,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c488,plain,
n0 = succ(tptp_minus_1),
inference(resolution,[status(thm)],[c144,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(c450,plain,
! [X174] : leq(X174,X174),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c451,plain,
leq(X182,X182),
inference(split_conjunct,[status(thm)],[c450]) ).
cnf(c19,axiom,
( X286 != X285
| X284 != X287
| ~ leq(X286,X284)
| leq(X285,X287) ),
theory(equality) ).
cnf(c699,plain,
( X2958 != X2959
| X2958 != X2957
| leq(X2959,X2957) ),
inference(resolution,[status(thm)],[c19,c451]) ).
cnf(c49974,plain,
( X2964 != X2965
| leq(X2965,X2964) ),
inference(resolution,[status(thm)],[c699,reflexivity]) ).
cnf(c50037,plain,
leq(succ(tptp_minus_1),n0),
inference(resolution,[status(thm)],[c49974,c488]) ).
cnf(c50727,plain,
leq(succ(tptp_minus_1),skolem0001),
inference(resolution,[status(thm)],[c50037,c24819]) ).
cnf(c51909,plain,
leq(succ(tptp_minus_1),tptp_minus_1),
inference(resolution,[status(thm)],[c50727,c24846]) ).
cnf(c52251,plain,
gt(tptp_minus_1,tptp_minus_1),
inference(resolution,[status(thm)],[c51909,c111]) ).
cnf(c52351,plain,
$false,
inference(resolution,[status(thm)],[c52251,c454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV165+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 05:54:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 43.13/43.31 % Version: 1.5
% 43.13/43.31 % SZS status Theorem
% 43.13/43.31 % SZS output start CNFRefutation
% See solution above
% 43.13/43.31
% 43.13/43.31 % Initial clauses : 315
% 43.13/43.31 % Processed clauses : 1421
% 43.13/43.31 % Factors computed : 445
% 43.13/43.31 % Resolvents computed: 51447
% 43.13/43.31 % Tautologies deleted: 5
% 43.13/43.31 % Forward subsumed : 1191
% 43.13/43.31 % Backward subsumed : 0
% 43.13/43.31 % -------- CPU Time ---------
% 43.13/43.31 % User time : 42.718 s
% 43.13/43.31 % System time : 0.223 s
% 43.13/43.31 % Total time : 42.941 s
%------------------------------------------------------------------------------