TSTP Solution File: SET947+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Sun May 5 09:19:46 EDT 2024
% Result : Theorem 0.16s 0.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 105 ( 5 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 119 ( 46 ~; 41 |; 20 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 64 ( 56 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(unit_resulting_resolution,[],[f52,f57,f47,f40]) ).
fof(f40,plain,
! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ subset(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ subset(sK3(X0,X1),X0)
| ~ in(sK3(X0,X1),X1) )
& ( subset(sK3(X0,X1),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK3(X0,X1),X0)
| ~ in(sK3(X0,X1),X1) )
& ( subset(sK3(X0,X1),X0)
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f47,plain,
! [X0] : sP0(X0,powerset(X0)),
inference(equality_resolution,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( sP0(X0,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( powerset(X0) = X1
<=> sP0(X0,X1) ),
inference(definition_folding,[],[f2,f15]) ).
fof(f2,axiom,
! [X0,X1] :
( powerset(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f57,plain,
~ in(sK2(sK1,powerset(union(sK1))),powerset(union(sK1))),
inference(unit_resulting_resolution,[],[f32,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f20,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f32,plain,
~ subset(sK1,powerset(union(sK1))),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
~ subset(sK1,powerset(union(sK1))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f11,f17]) ).
fof(f17,plain,
( ? [X0] : ~ subset(X0,powerset(union(X0)))
=> ~ subset(sK1,powerset(union(sK1))) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] : ~ subset(X0,powerset(union(X0))),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0] : subset(X0,powerset(union(X0))),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0] : subset(X0,powerset(union(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_zfmisc_1) ).
fof(f52,plain,
subset(sK2(sK1,powerset(union(sK1))),union(sK1)),
inference(unit_resulting_resolution,[],[f50,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).
fof(f50,plain,
in(sK2(sK1,powerset(union(sK1))),sK1),
inference(unit_resulting_resolution,[],[f32,f37]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 16:55:07 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % (17979)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (17982)WARNING: value z3 for option sas not known
% 0.16/0.32 % (17983)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.32 % (17982)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)
% 0.16/0.32 % (17985)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)
% 0.16/0.32 % (17984)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)
% 0.16/0.32 % (17981)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.32 % (17986)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)
% 0.16/0.32 TRYING [1]
% 0.16/0.32 % (17980)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 % (17986)First to succeed.
% 0.16/0.32 % (17985)Also succeeded, but the first one will report.
% 0.16/0.32 TRYING [4]
% 0.16/0.32 % (17986)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17979"
% 0.16/0.32 % (17986)Refutation found. Thanks to Tanya!
% 0.16/0.32 % SZS status Theorem for theBenchmark
% 0.16/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.32 % (17986)------------------------------
% 0.16/0.32 % (17986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.32 % (17986)Termination reason: Refutation
% 0.16/0.32
% 0.16/0.32 % (17986)Memory used [KB]: 759
% 0.16/0.32 % (17986)Time elapsed: 0.004 s
% 0.16/0.32 % (17986)Instructions burned: 4 (million)
% 0.16/0.32 % (17979)Success in time 0.014 s
%------------------------------------------------------------------------------