TSTP Solution File: SEU527_8 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU527_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue May 21 04:05:47 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 71 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 303 ( 65 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 190 ( 62 ~; 62 |; 15 &)
% ( 15 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 163 ( 112 fml; 51 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 20 usr; 20 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 79 ( 73 !; 6 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
tff(f108,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f42,f47,f52,f57,f61,f71,f77,f81,f85,f88,f95,f99,f105,f107]) ).
tff(f107,plain,
( ~ spl2_7
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f106]) ).
tff(f106,plain,
( $false
| ~ spl2_7
| ~ spl2_13 ),
inference(resolution,[],[f104,f67]) ).
tff(f67,plain,
( ! [X0: $i] : ~ in(X0,emptyset)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f66]) ).
tff(f66,plain,
( spl2_7
<=> ! [X0] : ~ in(X0,emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
tff(f104,plain,
( in(sK0,emptyset)
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f102]) ).
tff(f102,plain,
( spl2_13
<=> in(sK0,emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
tff(f105,plain,
( spl2_3
| spl2_13
| ~ spl2_4
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f100,f97,f49,f102,f44]) ).
tff(f44,plain,
( spl2_3
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f49,plain,
( spl2_4
<=> in(sK0,setadjoin(sK1,emptyset)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f97,plain,
( spl2_12
<=> ! [X2,X0,X1] :
( in(X2,X1)
| ~ in(X2,setadjoin(X0,X1))
| ( X0 = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
tff(f100,plain,
( in(sK0,emptyset)
| ( sK0 = sK1 )
| ~ spl2_4
| ~ spl2_12 ),
inference(resolution,[],[f98,f51]) ).
tff(f51,plain,
( in(sK0,setadjoin(sK1,emptyset))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f49]) ).
tff(f98,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ in(X2,setadjoin(X0,X1))
| in(X2,X1)
| ( X0 = X2 ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f97]) ).
tff(f99,plain,
( ~ spl2_2
| spl2_12
| spl2_8 ),
inference(avatar_split_clause,[],[f26,f69,f97,f39]) ).
tff(f39,plain,
( spl2_2
<=> setadjoinE ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f69,plain,
( spl2_8
<=> ! [X1: $o] : ( $true = (X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
tff(f26,plain,
! [X2: $i,X3: $o,X0: $i,X1: $i] :
( ( $true = (X3) )
| in(X2,X1)
| ( X0 = X2 )
| ~ in(X2,setadjoin(X0,X1))
| ~ setadjoinE ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ! [X0,X1,X2] :
( ! [X3: $o] :
( ( $true = (X3) )
| ( ( $true != (X3) )
& in(X2,X1) )
| ( ( $true != (X3) )
& ( X0 = X2 ) ) )
| ~ in(X2,setadjoin(X0,X1)) )
| ~ setadjoinE ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( ! [X0,X1,X2] :
( ! [X3: $o] :
( ( $true = (X3) )
| ( ( $true != (X3) )
& in(X2,X1) )
| ( ( $true != (X3) )
& ( X0 = X2 ) ) )
| ~ in(X2,setadjoin(X0,X1)) )
| ~ setadjoinE ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
( setadjoinE
=> ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> ( $true = (X3) ) )
=> ( ( in(X2,X1)
=> ( $true = (X3) ) )
=> ( $true = (X3) ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
tff(f10,plain,
( setadjoinE
<=> ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> ( $true = (X3) ) )
=> ( ( in(X2,X1)
=> ( $true = (X3) ) )
=> ( $true = (X3) ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
tff(f9,plain,
( setadjoinE
= ( ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> (X3) )
=> ( ( in(X2,X1)
=> (X3) )
=> (X3) ) ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
( setadjoinE
= ( ! [X0,X2,X3] :
( in(X3,setadjoin(X0,X2))
=> ! [X1: $o] :
( ( ( X0 = X3 )
=> (X1) )
=> ( ( in(X3,X2)
=> (X1) )
=> (X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinE) ).
tff(f95,plain,
( spl2_11
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f62,f59,f93]) ).
tff(f93,plain,
( spl2_11
<=> ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
tff(f59,plain,
( spl2_6
<=> ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f62,plain,
( ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) )
| ~ spl2_6 ),
inference(superposition,[],[f60,f60]) ).
tff(f60,plain,
( ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f59]) ).
tff(f88,plain,
( spl2_10
| spl2_5
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f86,f75,f54,f79]) ).
tff(f79,plain,
( spl2_10
<=> ! [X0: $o] : ( $false != (X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
tff(f54,plain,
( spl2_5
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f75,plain,
( spl2_9
<=> ! [X0: $o,X1: $o] : ( (X0) = (X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
tff(f86,plain,
( ! [X0: $o] : ( $false != (X0) )
| spl2_5
| ~ spl2_9 ),
inference(superposition,[],[f56,f76]) ).
tff(f76,plain,
( ! [X0: $o,X1: $o] : ( (X0) = (X1) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f75]) ).
tff(f56,plain,
( ( $true != $false )
| spl2_5 ),
inference(avatar_component_clause,[],[f54]) ).
tff(f85,plain,
~ spl2_10,
inference(avatar_contradiction_clause,[],[f84]) ).
tff(f84,plain,
( $false
| ~ spl2_10 ),
inference(equality_resolution,[],[f80]) ).
tff(f80,plain,
( ! [X0: $o] : ( $false != (X0) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f79]) ).
tff(f81,plain,
( spl2_10
| spl2_5
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f73,f69,f54,f79]) ).
tff(f73,plain,
( ! [X0: $o] : ( $false != (X0) )
| spl2_5
| ~ spl2_8 ),
inference(superposition,[],[f56,f70]) ).
tff(f70,plain,
( ! [X1: $o] : ( $true = (X1) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f69]) ).
tff(f77,plain,
( spl2_9
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f72,f69,f75]) ).
tff(f72,plain,
( ! [X0: $o,X1: $o] : ( (X0) = (X1) )
| ~ spl2_8 ),
inference(superposition,[],[f70,f70]) ).
tff(f71,plain,
( ~ spl2_1
| spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f25,f69,f66,f34]) ).
tff(f34,plain,
( spl2_1
<=> emptysetE ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f25,plain,
! [X0: $i,X1: $o] :
( ( $true = (X1) )
| ~ in(X0,emptyset)
| ~ emptysetE ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ! [X0] :
( ! [X1: $o] : ( $true = (X1) )
| ~ in(X0,emptyset) )
| ~ emptysetE ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
( emptysetE
=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : ( $true = (X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
tff(f8,plain,
( emptysetE
<=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : ( $true = (X1) ) ) ),
inference(fool_elimination,[],[f7]) ).
tff(f7,plain,
( emptysetE
= ( ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : (X1) ) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
( emptysetE
= ( ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : (X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetE) ).
tff(f61,plain,
spl2_6,
inference(avatar_split_clause,[],[f6,f59]) ).
tff(f6,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f57,plain,
~ spl2_5,
inference(avatar_split_clause,[],[f5,f54]) ).
tff(f5,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f52,plain,
spl2_4,
inference(avatar_split_clause,[],[f23,f49]) ).
tff(f23,plain,
in(sK0,setadjoin(sK1,emptyset)),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( sK0 != sK1 )
& in(sK0,setadjoin(sK1,emptyset))
& setadjoinE
& emptysetE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f19]) ).
tff(f19,plain,
( ? [X0,X1] :
( ( X0 != X1 )
& in(X0,setadjoin(X1,emptyset)) )
=> ( ( sK0 != sK1 )
& in(sK0,setadjoin(sK1,emptyset)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
( ? [X0,X1] :
( ( X0 != X1 )
& in(X0,setadjoin(X1,emptyset)) )
& setadjoinE
& emptysetE ),
inference(flattening,[],[f14]) ).
tff(f14,plain,
( ? [X0,X1] :
( ( X0 != X1 )
& in(X0,setadjoin(X1,emptyset)) )
& setadjoinE
& emptysetE ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
~ ( emptysetE
=> ( setadjoinE
=> ! [X0,X1] :
( in(X0,setadjoin(X1,emptyset))
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,negated_conjecture,
~ ( emptysetE
=> ( setadjoinE
=> ! [X0,X3] :
( in(X0,setadjoin(X3,emptyset))
=> ( X0 = X3 ) ) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
( emptysetE
=> ( setadjoinE
=> ! [X0,X3] :
( in(X0,setadjoin(X3,emptyset))
=> ( X0 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniqinunit) ).
tff(f47,plain,
~ spl2_3,
inference(avatar_split_clause,[],[f24,f44]) ).
tff(f24,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f20]) ).
tff(f42,plain,
spl2_2,
inference(avatar_split_clause,[],[f22,f39]) ).
tff(f22,plain,
setadjoinE,
inference(cnf_transformation,[],[f20]) ).
tff(f37,plain,
spl2_1,
inference(avatar_split_clause,[],[f21,f34]) ).
tff(f21,plain,
emptysetE,
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU527_8 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 17:43:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (9747)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (9750)WARNING: value z3 for option sas not known
% 0.15/0.38 % (9749)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (9751)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (9752)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (9750)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (9748)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (9754)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 % (9753)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 Detected maximum model sizes of [max,2]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1,2]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 TRYING [3,2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4,2]
% 0.21/0.38 % (9752)First to succeed.
% 0.21/0.38 % (9754)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [5,2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (9752)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9747"
% 0.21/0.38 % (9750)Also succeeded, but the first one will report.
% 0.21/0.38 % (9752)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (9752)------------------------------
% 0.21/0.38 % (9752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (9752)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (9752)Memory used [KB]: 786
% 0.21/0.38 % (9752)Time elapsed: 0.006 s
% 0.21/0.38 % (9752)Instructions burned: 5 (million)
% 0.21/0.38 % (9747)Success in time 0.021 s
%------------------------------------------------------------------------------