TSTP Solution File: SET095+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n024.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 18:23:40 EDT 2022
% Result : Theorem 1.56s 0.56s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 70 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 26 ~; 17 |; 14 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 40 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114,plain,
$false,
inference(subsumption_resolution,[],[f113,f65]) ).
fof(f65,plain,
member(sK2,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( member(sK2,sK1)
& ~ subset(singleton(sK2),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f35,f36]) ).
fof(f36,plain,
( ? [X0,X1] :
( member(X1,X0)
& ~ subset(singleton(X1),X0) )
=> ( member(sK2,sK1)
& ~ subset(singleton(sK2),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1] :
( member(X1,X0)
& ~ subset(singleton(X1),X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X1,X0] :
( member(X0,X1)
& ~ subset(singleton(X0),X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X1,X0] :
( member(X0,X1)
=> subset(singleton(X0),X1) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X2,X0] :
( member(X2,X0)
=> subset(singleton(X2),X0) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X2,X0] :
( member(X2,X0)
=> subset(singleton(X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI44) ).
fof(f113,plain,
~ member(sK2,sK1),
inference(subsumption_resolution,[],[f112,f64]) ).
fof(f64,plain,
~ subset(singleton(sK2),sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f112,plain,
( subset(singleton(sK2),sK1)
| ~ member(sK2,sK1) ),
inference(superposition,[],[f66,f109]) ).
fof(f109,plain,
sK3(sK1,singleton(sK2)) = sK2,
inference(resolution,[],[f92,f64]) ).
fof(f92,plain,
! [X2,X3] :
( subset(singleton(X2),X3)
| sK3(X3,singleton(X2)) = X2 ),
inference(resolution,[],[f67,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( member(X1,singleton(X0))
| X0 != X1 )
& ( X0 = X1
| ~ member(X1,singleton(X0)) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( member(X1,singleton(X0))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2] :
( X0 = X2
<=> member(X2,singleton(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
fof(f67,plain,
! [X0,X1] :
( member(sK3(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( member(sK3(X0,X1),X1)
& ~ member(sK3(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f39,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) )
=> ( member(sK3(X0,X1),X1)
& ~ member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f66,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 13:18:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.54 % (23609)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (23634)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55 % (23605)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.55 % (23614)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (23611)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 1.56/0.56 % (23625)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.56/0.56 TRYING [4]
% 1.56/0.56 % (23625)First to succeed.
% 1.56/0.56 % (23613)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.56/0.56 % (23621)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.56 % (23613)Instruction limit reached!
% 1.56/0.56 % (23613)------------------------------
% 1.56/0.56 % (23613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (23625)Refutation found. Thanks to Tanya!
% 1.56/0.56 % SZS status Theorem for theBenchmark
% 1.56/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.56 % (23625)------------------------------
% 1.56/0.56 % (23625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (23625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (23625)Termination reason: Refutation
% 1.56/0.56
% 1.56/0.56 % (23625)Memory used [KB]: 5500
% 1.56/0.56 % (23625)Time elapsed: 0.165 s
% 1.56/0.56 % (23625)Instructions burned: 4 (million)
% 1.56/0.56 % (23625)------------------------------
% 1.56/0.56 % (23625)------------------------------
% 1.56/0.56 % (23604)Success in time 0.226 s
%------------------------------------------------------------------------------