TSTP Solution File: SET148+4 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET148+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 Apr 30 15:06:06 EDT 2024
% Result : Theorem 0.80s 0.60s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 128 ( 59 ~; 41 |; 17 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 69 ( 64 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2150,plain,
$false,
inference(resolution,[],[f2146,f1767]) ).
fof(f1767,plain,
~ subset(sK0,intersection(sK0,sK0)),
inference(resolution,[],[f1711,f62]) ).
fof(f62,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( member(X0,power_set(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ member(X0,power_set(X1)) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( member(X0,power_set(X1))
<=> subset(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0] :
( member(X2,power_set(X0))
<=> subset(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_set) ).
fof(f1711,plain,
~ member(sK0,power_set(intersection(sK0,sK0))),
inference(duplicate_literal_removal,[],[f1708]) ).
fof(f1708,plain,
( ~ member(sK0,power_set(intersection(sK0,sK0)))
| ~ member(sK0,power_set(intersection(sK0,sK0))) ),
inference(resolution,[],[f1578,f166]) ).
fof(f166,plain,
( ~ subset(intersection(sK0,sK0),sK0)
| ~ member(sK0,power_set(intersection(sK0,sK0))) ),
inference(resolution,[],[f104,f62]) ).
fof(f104,plain,
( ~ member(intersection(sK0,sK0),power_set(sK0))
| ~ member(sK0,power_set(intersection(sK0,sK0))) ),
inference(resolution,[],[f102,f61]) ).
fof(f61,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f102,plain,
( ~ subset(sK0,intersection(sK0,sK0))
| ~ member(intersection(sK0,sK0),power_set(sK0)) ),
inference(resolution,[],[f100,f61]) ).
fof(f100,plain,
( ~ subset(intersection(sK0,sK0),sK0)
| ~ subset(sK0,intersection(sK0,sK0)) ),
inference(resolution,[],[f58,f53]) ).
fof(f53,plain,
~ equal_set(intersection(sK0,sK0),sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
~ equal_set(intersection(sK0,sK0),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f29]) ).
fof(f29,plain,
( ? [X0] : ~ equal_set(intersection(X0,X0),X0)
=> ~ equal_set(intersection(sK0,sK0),sK0) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0] : ~ equal_set(intersection(X0,X0),X0),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : equal_set(intersection(X0,X0),X0),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : equal_set(intersection(X0,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI13) ).
fof(f58,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f1578,plain,
( subset(intersection(sK0,sK0),sK0)
| ~ member(sK0,power_set(intersection(sK0,sK0))) ),
inference(resolution,[],[f89,f165]) ).
fof(f165,plain,
( ~ member(sK1(intersection(sK0,sK0),sK0),sK0)
| ~ member(sK0,power_set(intersection(sK0,sK0))) ),
inference(resolution,[],[f101,f61]) ).
fof(f101,plain,
( ~ subset(sK0,intersection(sK0,sK0))
| ~ member(sK1(intersection(sK0,sK0),sK0),sK0) ),
inference(resolution,[],[f100,f57]) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f32,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f89,plain,
! [X2,X0,X1] :
( member(sK1(intersection(X0,X1),X2),X0)
| subset(intersection(X0,X1),X2) ),
inference(resolution,[],[f78,f56]) ).
fof(f56,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X2)
& member(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f2146,plain,
subset(sK0,intersection(sK0,sK0)),
inference(resolution,[],[f2145,f56]) ).
fof(f2145,plain,
~ member(sK1(sK0,intersection(sK0,sK0)),sK0),
inference(duplicate_literal_removal,[],[f2141]) ).
fof(f2141,plain,
( ~ member(sK1(sK0,intersection(sK0,sK0)),sK0)
| ~ member(sK1(sK0,intersection(sK0,sK0)),sK0) ),
inference(resolution,[],[f1772,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f1772,plain,
~ member(sK1(sK0,intersection(sK0,sK0)),intersection(sK0,sK0)),
inference(resolution,[],[f1767,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET148+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 01:35:50 EDT 2024
% 0.15/0.37 % CPUTime :
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% 0.22/0.52 % (17286)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.53 % (17420)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.54 TRYING [1]
% 0.22/0.54 % (17422)WARNING: value z3 for option sas not known
% 0.22/0.54 TRYING [2]
% 0.22/0.54 % (17423)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.54 % (17421)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.54 % (17422)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)
% 0.22/0.54 % (17424)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)
% 0.22/0.54 % (17425)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)
% 0.22/0.54 % (17426)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)
% 0.22/0.54 TRYING [1]
% 0.22/0.54 TRYING [2]
% 0.22/0.54 TRYING [3]
% 0.22/0.55 TRYING [4]
% 0.22/0.55 TRYING [3]
% 0.22/0.56 TRYING [5]
% 0.22/0.58 TRYING [6]
% 0.22/0.59 TRYING [4]
% 0.22/0.60 % (17425)First to succeed.
% 0.80/0.60 % (17425)Refutation found. Thanks to Tanya!
% 0.80/0.60 % SZS status Theorem for theBenchmark
% 0.80/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.60 % (17425)------------------------------
% 0.80/0.60 % (17425)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.60 % (17425)Termination reason: Refutation
% 0.80/0.60
% 0.80/0.60 % (17425)Memory used [KB]: 1724
% 0.80/0.60 % (17425)Time elapsed: 0.060 s
% 0.80/0.60 % (17425)Instructions burned: 97 (million)
% 0.80/0.60 % (17425)------------------------------
% 0.80/0.60 % (17425)------------------------------
% 0.80/0.60 % (17286)Success in time 0.216 s
%------------------------------------------------------------------------------