TSTP Solution File: SEU198+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU198+1 : 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 : n004.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 18:32:27 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 92 ( 33 ~; 24 |; 20 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 50 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f399,plain,
$false,
inference(subsumption_resolution,[],[f396,f128]) ).
fof(f128,plain,
~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( relation(sK9)
& ~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f88,f89]) ).
fof(f89,plain,
( ? [X0,X1] :
( relation(X1)
& ~ subset(relation_rng(relation_rng_restriction(X0,X1)),X0) )
=> ( relation(sK9)
& ~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
? [X0,X1] :
( relation(X1)
& ~ subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
? [X1,X0] :
( relation(X0)
& ~ subset(relation_rng(relation_rng_restriction(X1,X0)),X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
~ ! [X0,X1] :
( relation(X0)
=> subset(relation_rng(relation_rng_restriction(X1,X0)),X1) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X1,X0] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_relat_1) ).
fof(f396,plain,
subset(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),
inference(resolution,[],[f326,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( in(sK4(X0,X1),X0)
& ~ in(sK4(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f74,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK4(X0,X1),X0)
& ~ in(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f326,plain,
in(sK4(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),sK8),
inference(resolution,[],[f161,f195]) ).
fof(f195,plain,
! [X14,X15] :
( ~ in(X14,relation_rng(relation_rng_restriction(X15,sK9)))
| in(X14,X15) ),
inference(resolution,[],[f115,f129]) ).
fof(f129,plain,
relation(sK9),
inference(cnf_transformation,[],[f90]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| in(X1,X0)
| ~ in(X1,relation_rng(relation_rng_restriction(X0,X2))) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( ( ( in(X1,relation_rng(X2))
& in(X1,X0) )
| ~ in(X1,relation_rng(relation_rng_restriction(X0,X2))) )
& ( in(X1,relation_rng(relation_rng_restriction(X0,X2)))
| ~ in(X1,relation_rng(X2))
| ~ in(X1,X0) ) )
| ~ relation(X2) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( ( ( in(X1,relation_rng(X2))
& in(X1,X0) )
| ~ in(X1,relation_rng(relation_rng_restriction(X0,X2))) )
& ( in(X1,relation_rng(relation_rng_restriction(X0,X2)))
| ~ in(X1,relation_rng(X2))
| ~ in(X1,X0) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( ( in(X1,relation_rng(X2))
& in(X1,X0) )
<=> in(X1,relation_rng(relation_rng_restriction(X0,X2))) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X2,X1,X0] :
( relation(X2)
=> ( ( in(X1,relation_rng(X2))
& in(X1,X0) )
<=> in(X1,relation_rng(relation_rng_restriction(X0,X2))) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X0,X2] :
( relation(X2)
=> ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
<=> in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f161,plain,
in(sK4(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),relation_rng(relation_rng_restriction(sK8,sK9))),
inference(resolution,[],[f112,f128]) ).
fof(f112,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU198+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:45:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (7037)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 % (7029)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (7029)First to succeed.
% 0.20/0.51 % (7029)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 % (7029)------------------------------
% 0.20/0.51 % (7029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (7029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (7029)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (7029)Memory used [KB]: 5628
% 0.20/0.51 % (7029)Time elapsed: 0.078 s
% 0.20/0.51 % (7029)Instructions burned: 12 (million)
% 0.20/0.51 % (7029)------------------------------
% 0.20/0.51 % (7029)------------------------------
% 0.20/0.51 % (7006)Success in time 0.155 s
%------------------------------------------------------------------------------