TSTP Solution File: SEU121+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU121+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_sat --cores 0 -t %d %s
% Computer : n021.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 18:32:00 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 27 ~; 17 |; 23 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 39 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f268,plain,
$false,
inference(subsumption_resolution,[],[f267,f87]) ).
fof(f87,plain,
~ subset(sK3,sK4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ~ subset(sK3,sK4)
& subset(sK2,sK4)
& subset(sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f53,f54]) ).
fof(f54,plain,
( ? [X0,X1,X2] :
( ~ subset(X1,X2)
& subset(X0,X2)
& subset(X1,X0) )
=> ( ~ subset(sK3,sK4)
& subset(sK2,sK4)
& subset(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ~ subset(X1,X2)
& subset(X0,X2)
& subset(X1,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X0,X2,X1] :
( ~ subset(X2,X1)
& subset(X0,X1)
& subset(X2,X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0,X2,X1] :
( ~ subset(X2,X1)
& subset(X0,X1)
& subset(X2,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X0,X2,X1] :
( ( subset(X0,X1)
& subset(X2,X0) )
=> subset(X2,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X2,X0] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X2,X0] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f267,plain,
subset(sK3,sK4),
inference(resolution,[],[f243,f190]) ).
fof(f190,plain,
in(sK8(sK3,sK4),sK2),
inference(resolution,[],[f146,f132]) ).
fof(f132,plain,
in(sK8(sK3,sK4),sK3),
inference(resolution,[],[f96,f87]) ).
fof(f96,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ in(sK8(X0,X1),X1)
& in(sK8(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f65,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X1)
& in(X3,X0) )
=> ( ~ in(sK8(X0,X1),X1)
& in(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ in(X3,X1)
& in(X3,X0) ) ) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f146,plain,
! [X0] :
( ~ in(X0,sK3)
| in(X0,sK2) ),
inference(resolution,[],[f98,f85]) ).
fof(f85,plain,
subset(sK3,sK2),
inference(cnf_transformation,[],[f55]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f243,plain,
! [X3] :
( ~ in(sK8(X3,sK4),sK2)
| subset(X3,sK4) ),
inference(resolution,[],[f147,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ in(sK8(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f147,plain,
! [X1] :
( in(X1,sK4)
| ~ in(X1,sK2) ),
inference(resolution,[],[f98,f86]) ).
fof(f86,plain,
subset(sK2,sK4),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:36:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (24500)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.48 % (24508)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.49 % (24516)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)
% 0.20/0.49 % (24509)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.50 % (24501)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50 % (24508)First to succeed.
% 0.20/0.50 % (24493)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (24487)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)
% 0.20/0.51 % (24508)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (24508)------------------------------
% 0.20/0.51 % (24508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24508)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (24508)Memory used [KB]: 5500
% 0.20/0.51 % (24508)Time elapsed: 0.107 s
% 0.20/0.51 % (24508)Instructions burned: 11 (million)
% 0.20/0.51 % (24508)------------------------------
% 0.20/0.51 % (24508)------------------------------
% 0.20/0.51 % (24486)Success in time 0.162 s
%------------------------------------------------------------------------------