TSTP Solution File: SWW102+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n007.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 : Fri Sep 1 01:00:07 EDT 2023
% Result : Theorem 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 23
% Syntax : Number of formulae : 152 ( 48 unt; 0 def)
% Number of atoms : 335 ( 250 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 261 ( 78 ~; 138 |; 30 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 92 (; 84 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1177,plain,
$false,
inference(subsumption_resolution,[],[f1176,f1175]) ).
fof(f1175,plain,
true != sF9,
inference(backward_demodulation,[],[f206,f1174]) ).
fof(f1174,plain,
true = sF8,
inference(forward_demodulation,[],[f1172,f917]) ).
fof(f917,plain,
true = not2(false),
inference(subsumption_resolution,[],[f916,f138]) ).
fof(f138,plain,
false != true,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( false != err
& true != err
& false != true ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',distinct_false_true_err) ).
fof(f916,plain,
( false = true
| true = not2(false) ),
inference(forward_demodulation,[],[f830,f133]) ).
fof(f133,plain,
true = not1(false),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
true = not1(false),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',not1_axiom2) ).
fof(f830,plain,
( false = not1(false)
| true = not2(false) ),
inference(backward_demodulation,[],[f380,f795]) ).
fof(f795,plain,
false = false2,
inference(subsumption_resolution,[],[f793,f199]) ).
fof(f199,plain,
bool(false),
inference(equality_resolution,[],[f159]) ).
fof(f159,plain,
! [X0] :
( bool(X0)
| false != X0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( bool(X0)
| ( true != X0
& false != X0 ) )
& ( true = X0
| false = X0
| ~ bool(X0) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( bool(X0)
| ( true != X0
& false != X0 ) )
& ( true = X0
| false = X0
| ~ bool(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( bool(X0)
<=> ( true = X0
| false = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',def_bool) ).
fof(f793,plain,
( ~ bool(false)
| false = false2 ),
inference(trivial_inequality_removal,[],[f779]) ).
fof(f779,plain,
( false != false
| ~ bool(false)
| false = false2 ),
inference(superposition,[],[f161,f754]) ).
fof(f754,plain,
( false = prop(false)
| false = false2 ),
inference(subsumption_resolution,[],[f753,f139]) ).
fof(f139,plain,
true != err,
inference(cnf_transformation,[],[f2]) ).
fof(f753,plain,
( false = prop(false)
| true = err
| false = false2 ),
inference(subsumption_resolution,[],[f747,f203]) ).
fof(f203,plain,
forallprefers(false,true),
inference(equality_resolution,[],[f202]) ).
fof(f202,plain,
! [X0] :
( forallprefers(X0,true)
| false != X0 ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| true != X1
| false != X0 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| ( ( true != X1
| false != X0 )
& ( ~ bool(X1)
| bool(X0)
| ~ d(X1)
| ~ d(X0) )
& ( ~ d(X1)
| d(X0) ) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( ( true = X1
& false = X0 )
| ( bool(X1)
& ~ bool(X0)
& d(X1)
& d(X0) )
| ( d(X1)
& ~ d(X0) ) )
=> forallprefers(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( forallprefers(X0,X1)
<=> ( ( true = X1
& false = X0 )
| ( bool(X1)
& ~ bool(X0)
& d(X1)
& d(X0) )
| ( d(X1)
& ~ d(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',def_forallprefers) ).
fof(f747,plain,
( ~ forallprefers(false,true)
| false = prop(false)
| true = err
| false = false2 ),
inference(superposition,[],[f344,f738]) ).
fof(f738,plain,
( true = false2
| false = false2 ),
inference(subsumption_resolution,[],[f736,f199]) ).
fof(f736,plain,
( ~ bool(false)
| false = false2
| true = false2 ),
inference(trivial_inequality_removal,[],[f722]) ).
fof(f722,plain,
( false != false
| ~ bool(false)
| false = false2
| true = false2 ),
inference(superposition,[],[f161,f622]) ).
fof(f622,plain,
( false = prop(false)
| false = false2
| true = false2 ),
inference(forward_demodulation,[],[f621,f225]) ).
fof(f225,plain,
false = phi(false),
inference(resolution,[],[f148,f136]) ).
fof(f136,plain,
d(false),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( d(err)
& d(false)
& d(true) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',false_true_err_in_d) ).
fof(f148,plain,
! [X0] :
( ~ d(X0)
| phi(X0) = X0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( err = phi(X0)
& ~ d(X0) )
| ( phi(X0) = X0
& d(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',def_phi) ).
fof(f621,plain,
( false2 = phi(false)
| false = prop(false)
| true = false2 ),
inference(forward_demodulation,[],[f606,f225]) ).
fof(f606,plain,
( false2 = phi(phi(false))
| false = prop(false)
| true = false2 ),
inference(superposition,[],[f315,f597]) ).
fof(f597,plain,
( false = sK7
| true = false2 ),
inference(subsumption_resolution,[],[f595,f198]) ).
fof(f198,plain,
bool(true),
inference(equality_resolution,[],[f160]) ).
fof(f160,plain,
! [X0] :
( bool(X0)
| true != X0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f595,plain,
( ~ bool(true)
| true = false2
| false = sK7 ),
inference(trivial_inequality_removal,[],[f581]) ).
fof(f581,plain,
( false != false
| ~ bool(true)
| true = false2
| false = sK7 ),
inference(superposition,[],[f161,f455]) ).
fof(f455,plain,
( false = prop(true)
| true = false2
| false = sK7 ),
inference(duplicate_literal_removal,[],[f454]) ).
fof(f454,plain,
( true = false2
| false = prop(true)
| true = false2
| false = sK7 ),
inference(forward_demodulation,[],[f453,f224]) ).
fof(f224,plain,
true = phi(true),
inference(resolution,[],[f148,f135]) ).
fof(f135,plain,
d(true),
inference(cnf_transformation,[],[f3]) ).
fof(f453,plain,
( false2 = phi(true)
| false = prop(true)
| true = false2
| false = sK7 ),
inference(forward_demodulation,[],[f441,f224]) ).
fof(f441,plain,
( false2 = phi(phi(true))
| false = prop(true)
| true = false2
| false = sK7 ),
inference(superposition,[],[f315,f430]) ).
fof(f430,plain,
( true = sK7
| true = false2
| false = sK7 ),
inference(forward_demodulation,[],[f412,f224]) ).
fof(f412,plain,
( false2 = phi(true)
| true = sK7
| false = sK7 ),
inference(superposition,[],[f196,f403]) ).
fof(f403,plain,
! [X0] :
( true = f7(X0)
| true = X0
| false = X0 ),
inference(forward_demodulation,[],[f387,f142]) ).
fof(f142,plain,
! [X0] : true = lazy_impl(false,X0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] : true = lazy_impl(false,X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] : true = lazy_impl(false,X3),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',lazy_impl_axiom2) ).
fof(f387,plain,
! [X0] :
( lazy_impl(false,X0) = f7(X0)
| true = X0
| false = X0 ),
inference(superposition,[],[f146,f285]) ).
fof(f285,plain,
! [X1] :
( false = prop(X1)
| true = X1
| false = X1 ),
inference(resolution,[],[f158,f162]) ).
fof(f162,plain,
! [X0] :
( bool(X0)
| false = prop(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( false = prop(X0)
| bool(X0) )
& ( ~ bool(X0)
| false != prop(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( false = prop(X0)
<=> ~ bool(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',prop_false) ).
fof(f158,plain,
! [X0] :
( ~ bool(X0)
| false = X0
| true = X0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f146,plain,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',def_f7) ).
fof(f196,plain,
false2 = phi(f7(sK7)),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ! [X1] : ~ forallprefers(f7(X1),f7(sK7))
& false2 = phi(f7(sK7)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f110,f129]) ).
fof(f129,plain,
( ? [X0] :
( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) )
=> ( ! [X1] : ~ forallprefers(f7(X1),f7(sK7))
& false2 = phi(f7(sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
? [X0] :
( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ~ ? [X1] : forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
? [X4] :
( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
& false2 = phi(f7(X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',def_false2) ).
fof(f315,plain,
( false2 = phi(phi(sK7))
| false = prop(sK7) ),
inference(superposition,[],[f196,f294]) ).
fof(f294,plain,
! [X0] :
( phi(X0) = f7(X0)
| false = prop(X0) ),
inference(forward_demodulation,[],[f291,f145]) ).
fof(f145,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : phi(X3) = lazy_impl(true,X3),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',lazy_impl_axiom3) ).
fof(f291,plain,
! [X0] :
( lazy_impl(true,X0) = f7(X0)
| false = prop(X0) ),
inference(superposition,[],[f146,f207]) ).
fof(f207,plain,
! [X0] :
( true = prop(X0)
| false = prop(X0) ),
inference(forward_literal_rewriting,[],[f164,f162]) ).
fof(f164,plain,
! [X0] :
( true = prop(X0)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( true = prop(X0)
| ~ bool(X0) )
& ( bool(X0)
| true != prop(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( true = prop(X0)
<=> bool(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',prop_true) ).
fof(f344,plain,
( ~ forallprefers(false,false2)
| false = prop(false)
| err = false2 ),
inference(superposition,[],[f334,f260]) ).
fof(f260,plain,
( false2 = f7(sK7)
| err = false2 ),
inference(superposition,[],[f150,f196]) ).
fof(f150,plain,
! [X0] :
( err = phi(X0)
| phi(X0) = X0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f334,plain,
( ~ forallprefers(false,f7(sK7))
| false = prop(false) ),
inference(superposition,[],[f318,f225]) ).
fof(f318,plain,
! [X4] :
( ~ forallprefers(phi(X4),f7(sK7))
| false = prop(X4) ),
inference(superposition,[],[f197,f294]) ).
fof(f197,plain,
! [X1] : ~ forallprefers(f7(X1),f7(sK7)),
inference(cnf_transformation,[],[f130]) ).
fof(f161,plain,
! [X0] :
( false != prop(X0)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f380,plain,
( true = not2(false)
| false2 = not1(false2) ),
inference(forward_demodulation,[],[f378,f275]) ).
fof(f275,plain,
false2 = phi(false2),
inference(subsumption_resolution,[],[f271,f267]) ).
fof(f267,plain,
! [X0] :
( err != X0
| phi(X0) = X0 ),
inference(equality_factoring,[],[f150]) ).
fof(f271,plain,
( false2 = phi(false2)
| err = false2 ),
inference(superposition,[],[f196,f260]) ).
fof(f378,plain,
( true = not2(false)
| phi(false2) = not1(false2) ),
inference(superposition,[],[f238,f143]) ).
fof(f143,plain,
! [X0] : not2(X0) = impl(X0,false2),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] : not2(X0) = impl(X0,false2),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : not2(X4) = impl(X4,false2),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',def_not2) ).
fof(f238,plain,
! [X0] :
( true = impl(false,X0)
| phi(X0) = not1(X0) ),
inference(resolution,[],[f154,f151]) ).
fof(f151,plain,
! [X0] :
( bool(X0)
| phi(X0) = not1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( phi(X0) = not1(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ bool(X0)
=> phi(X0) = not1(X0) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X2] :
( ~ bool(X2)
=> phi(X2) = not1(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',not1_axiom1) ).
fof(f154,plain,
! [X0] :
( ~ bool(X0)
| true = impl(false,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( true = impl(false,X0)
| ~ bool(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( bool(X0)
=> true = impl(false,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3] :
( bool(X3)
=> true = impl(false,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',impl_axiom3) ).
fof(f1172,plain,
sF8 = not2(false),
inference(backward_demodulation,[],[f204,f1171]) ).
fof(f1171,plain,
false = sK0,
inference(subsumption_resolution,[],[f1170,f1166]) ).
fof(f1166,plain,
( false = sF8
| false = sK0 ),
inference(forward_demodulation,[],[f1163,f920]) ).
fof(f920,plain,
false = not2(true),
inference(subsumption_resolution,[],[f919,f138]) ).
fof(f919,plain,
( false = true
| false = not2(true) ),
inference(forward_demodulation,[],[f918,f133]) ).
fof(f918,plain,
( false = not1(false)
| false = not2(true) ),
inference(forward_demodulation,[],[f831,f795]) ).
fof(f831,plain,
( false = not2(true)
| false2 = not1(false2) ),
inference(backward_demodulation,[],[f384,f795]) ).
fof(f384,plain,
( false2 = not2(true)
| false2 = not1(false2) ),
inference(forward_demodulation,[],[f382,f275]) ).
fof(f382,plain,
( false2 = not2(true)
| phi(false2) = not1(false2) ),
inference(superposition,[],[f250,f143]) ).
fof(f250,plain,
! [X0] :
( impl(true,X0) = X0
| phi(X0) = not1(X0) ),
inference(resolution,[],[f157,f151]) ).
fof(f157,plain,
! [X0] :
( ~ bool(X0)
| impl(true,X0) = X0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( impl(true,X0) = X0
| ~ bool(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( bool(X0)
=> impl(true,X0) = X0 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3] :
( bool(X3)
=> impl(true,X3) = X3 ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',impl_axiom4) ).
fof(f1163,plain,
( sF8 = not2(true)
| false = sK0 ),
inference(superposition,[],[f204,f1161]) ).
fof(f1161,plain,
( true = sK0
| false = sK0 ),
inference(subsumption_resolution,[],[f1160,f206]) ).
fof(f1160,plain,
( sF8 = sF9
| true = sK0
| false = sK0 ),
inference(duplicate_literal_removal,[],[f1150]) ).
fof(f1150,plain,
( sF8 = sF9
| true = sK0
| false = sK0
| true = sK0
| false = sK0 ),
inference(superposition,[],[f1141,f1070]) ).
fof(f1070,plain,
( sF9 = phi(sK0)
| true = sK0
| false = sK0 ),
inference(superposition,[],[f284,f205]) ).
fof(f205,plain,
not1(sK0) = sF9,
introduced(function_definition,[]) ).
fof(f284,plain,
! [X0] :
( phi(X0) = not1(X0)
| true = X0
| false = X0 ),
inference(resolution,[],[f158,f151]) ).
fof(f1141,plain,
( sF8 = phi(sK0)
| true = sK0
| false = sK0 ),
inference(superposition,[],[f1118,f204]) ).
fof(f1118,plain,
! [X0] :
( phi(X0) = not2(X0)
| true = X0
| false = X0 ),
inference(superposition,[],[f396,f796]) ).
fof(f796,plain,
! [X0] : not2(X0) = impl(X0,false),
inference(backward_demodulation,[],[f143,f795]) ).
fof(f396,plain,
! [X12,X13] :
( phi(X12) = impl(X12,X13)
| true = X12
| false = X12 ),
inference(trivial_inequality_removal,[],[f395]) ).
fof(f395,plain,
! [X12,X13] :
( false != false
| phi(X12) = impl(X12,X13)
| true = X12
| false = X12 ),
inference(superposition,[],[f213,f285]) ).
fof(f213,plain,
! [X0,X1] :
( false != prop(X0)
| phi(X0) = impl(X0,X1) ),
inference(forward_literal_rewriting,[],[f174,f161]) ).
fof(f174,plain,
! [X0,X1] :
( phi(X0) = impl(X0,X1)
| bool(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( phi(X0) = impl(X0,X1)
| bool(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ bool(X0)
=> phi(X0) = impl(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X3] :
( ~ bool(X2)
=> impl(X2,X3) = phi(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',impl_axiom1) ).
fof(f1170,plain,
( false != sF8
| false = sK0 ),
inference(superposition,[],[f206,f1165]) ).
fof(f1165,plain,
( false = sF9
| false = sK0 ),
inference(forward_demodulation,[],[f1162,f134]) ).
fof(f134,plain,
false = not1(true),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
false = not1(true),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',not1_axiom3) ).
fof(f1162,plain,
( not1(true) = sF9
| false = sK0 ),
inference(superposition,[],[f205,f1161]) ).
fof(f204,plain,
not2(sK0) = sF8,
introduced(function_definition,[]) ).
fof(f206,plain,
sF8 != sF9,
inference(definition_folding,[],[f131,f205,f204]) ).
fof(f131,plain,
not2(sK0) != not1(sK0),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
not2(sK0) != not1(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f83,f111]) ).
fof(f111,plain,
( ? [X0] : not2(X0) != not1(X0)
=> not2(sK0) != not1(sK0) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] : not2(X0) != not1(X0),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
~ ! [X0] : not2(X0) = not1(X0),
inference(rectify,[],[f46]) ).
fof(f46,negated_conjecture,
~ ! [X4] : not2(X4) = not1(X4),
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
! [X4] : not2(X4) = not1(X4),
file('/export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826',not1_not2) ).
fof(f1176,plain,
true = sF9,
inference(forward_demodulation,[],[f1173,f133]) ).
fof(f1173,plain,
not1(false) = sF9,
inference(backward_demodulation,[],[f205,f1171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n007.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 20:16:28 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826
% 0.16/0.38 % (24085)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (24097)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.23/0.44 % (24095)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.23/0.44 % (24090)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.23/0.44 % (24096)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.23/0.44 % (24092)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.23/0.44 % (24094)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.23/0.44 % (24089)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.23/0.44 % (24094)Refutation not found, incomplete strategy% (24094)------------------------------
% 0.23/0.44 % (24094)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (24094)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (24094)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44 % (24094)Memory used [KB]: 10106
% 0.23/0.44 % (24094)Time elapsed: 0.005 s
% 0.23/0.44 % (24094)------------------------------
% 0.23/0.44 % (24094)------------------------------
% 0.23/0.48 % (24097)First to succeed.
% 0.23/0.48 % (24097)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Theorem for Vampire---4
% 0.23/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.48 % (24097)------------------------------
% 0.23/0.48 % (24097)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48 % (24097)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48 % (24097)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (24097)Memory used [KB]: 1407
% 0.23/0.48 % (24097)Time elapsed: 0.043 s
% 0.23/0.48 % (24097)------------------------------
% 0.23/0.48 % (24097)------------------------------
% 0.23/0.48 % (24085)Success in time 0.102 s
% 0.23/0.48 24090 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.enGHKnIzrE/Vampire---4.8_23826
% 0.23/0.48 % (24090)------------------------------
% 0.23/0.48 % (24090)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48 % (24090)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48 % (24090)Termination reason: Unknown
% 0.23/0.48 % (24090)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (24090)Memory used [KB]: 1023
% 0.23/0.48 % (24090)Time elapsed: 0.045 s
% 0.23/0.48 % (24090)------------------------------
% 0.23/0.48 % (24090)------------------------------
% 0.23/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------