TSTP Solution File: SEU149+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU149+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n019.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 : Wed Aug 31 18:26:54 EDT 2022
% Result : Theorem 1.47s 0.56s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 113 ( 83 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 136 ( 50 ~; 48 |; 29 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 67 ( 54 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f398,plain,
$false,
inference(subsumption_resolution,[],[f397,f382]) ).
fof(f382,plain,
! [X3,X1] : in(X3,unordered_pair(X3,X1)),
inference(equality_resolution,[],[f381]) ).
fof(f381,plain,
! [X2,X3,X1] :
( in(X3,X2)
| unordered_pair(X3,X1) != X2 ),
inference(equality_resolution,[],[f321]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( in(X3,X2)
| X0 != X3
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X0 = X3
| X1 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 )
& ( unordered_pair(X0,X1) = X2
| ( ( ( sK15(X0,X1,X2) != X0
& sK15(X0,X1,X2) != X1 )
| ~ in(sK15(X0,X1,X2),X2) )
& ( sK15(X0,X1,X2) = X0
| sK15(X0,X1,X2) = X1
| in(sK15(X0,X1,X2),X2) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f215,f216]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ( X0 != X4
& X1 != X4 )
| ~ in(X4,X2) )
& ( X0 = X4
| X1 = X4
| in(X4,X2) ) )
=> ( ( ( sK15(X0,X1,X2) != X0
& sK15(X0,X1,X2) != X1 )
| ~ in(sK15(X0,X1,X2),X2) )
& ( sK15(X0,X1,X2) = X0
| sK15(X0,X1,X2) = X1
| in(sK15(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X0 = X3
| X1 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 )
& ( unordered_pair(X0,X1) = X2
| ? [X4] :
( ( ( X0 != X4
& X1 != X4 )
| ~ in(X4,X2) )
& ( X0 = X4
| X1 = X4
| in(X4,X2) ) ) ) ),
inference(rectify,[],[f214]) ).
fof(f214,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( in(X3,X1)
| ( X0 != X3
& X2 != X3 ) )
& ( X0 = X3
| X2 = X3
| ~ in(X3,X1) ) )
| unordered_pair(X0,X2) != X1 )
& ( unordered_pair(X0,X2) = X1
| ? [X3] :
( ( ( X0 != X3
& X2 != X3 )
| ~ in(X3,X1) )
& ( X0 = X3
| X2 = X3
| in(X3,X1) ) ) ) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( in(X3,X1)
| ( X0 != X3
& X2 != X3 ) )
& ( X0 = X3
| X2 = X3
| ~ in(X3,X1) ) )
| unordered_pair(X0,X2) != X1 )
& ( unordered_pair(X0,X2) = X1
| ? [X3] :
( ( ( X0 != X3
& X2 != X3 )
| ~ in(X3,X1) )
& ( X0 = X3
| X2 = X3
| in(X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X2,X1] :
( ! [X3] :
( in(X3,X1)
<=> ( X0 = X3
| X2 = X3 ) )
<=> unordered_pair(X0,X2) = X1 ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X2,X1] :
( unordered_pair(X0,X1) = X2
<=> ! [X3] :
( ( X1 = X3
| X0 = X3 )
<=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(f397,plain,
~ in(sK7,unordered_pair(sK7,sK8)),
inference(forward_demodulation,[],[f391,f343]) ).
fof(f343,plain,
unordered_pair(sK7,sK8) = unordered_pair(sK9,sK9),
inference(definition_unfolding,[],[f274,f271]) ).
fof(f271,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f274,plain,
singleton(sK9) = unordered_pair(sK7,sK8),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( singleton(sK9) = unordered_pair(sK7,sK8)
& sK9 != sK7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f179,f180]) ).
fof(f180,plain,
( ? [X0,X1,X2] :
( unordered_pair(X0,X1) = singleton(X2)
& X0 != X2 )
=> ( singleton(sK9) = unordered_pair(sK7,sK8)
& sK9 != sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
? [X0,X1,X2] :
( unordered_pair(X0,X1) = singleton(X2)
& X0 != X2 ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
? [X2,X0,X1] :
( singleton(X1) = unordered_pair(X2,X0)
& X1 != X2 ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
~ ! [X2,X0,X1] :
( singleton(X1) = unordered_pair(X2,X0)
=> X1 = X2 ),
inference(rectify,[],[f73]) ).
fof(f73,negated_conjecture,
~ ! [X2,X0,X1] :
( singleton(X0) = unordered_pair(X1,X2)
=> X0 = X1 ),
inference(negated_conjecture,[],[f72]) ).
fof(f72,conjecture,
! [X2,X0,X1] :
( singleton(X0) = unordered_pair(X1,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
fof(f391,plain,
~ in(sK7,unordered_pair(sK9,sK9)),
inference(unit_resulting_resolution,[],[f273,f273,f385]) ).
fof(f385,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,unordered_pair(X0,X1))
| X1 = X3 ),
inference(equality_resolution,[],[f319]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| X1 = X3
| ~ in(X3,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f217]) ).
fof(f273,plain,
sK9 != sK7,
inference(cnf_transformation,[],[f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU149+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.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 : Tue Aug 30 14:49:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (19119)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (19111)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.34/0.54 % (19103)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.34/0.54 % (19110)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.34/0.54 % (19096)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.34/0.55 % (19102)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.34/0.55 % (19116)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.34/0.55 % (19103)First to succeed.
% 1.34/0.55 % (19111)Instruction limit reached!
% 1.34/0.55 % (19111)------------------------------
% 1.34/0.55 % (19111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (19111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (19111)Termination reason: Unknown
% 1.34/0.55 % (19111)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (19111)Memory used [KB]: 6140
% 1.34/0.55 % (19111)Time elapsed: 0.011 s
% 1.34/0.55 % (19111)Instructions burned: 8 (million)
% 1.34/0.55 % (19111)------------------------------
% 1.34/0.55 % (19111)------------------------------
% 1.34/0.55 % (19104)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.47/0.55 % (19108)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.47/0.56 % (19103)Refutation found. Thanks to Tanya!
% 1.47/0.56 % SZS status Theorem for theBenchmark
% 1.47/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.56 % (19103)------------------------------
% 1.47/0.56 % (19103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (19103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (19103)Termination reason: Refutation
% 1.47/0.56
% 1.47/0.56 % (19103)Memory used [KB]: 6140
% 1.47/0.56 % (19103)Time elapsed: 0.092 s
% 1.47/0.56 % (19103)Instructions burned: 7 (million)
% 1.47/0.56 % (19103)------------------------------
% 1.47/0.56 % (19103)------------------------------
% 1.47/0.56 % (19095)Success in time 0.194 s
%------------------------------------------------------------------------------