TSTP Solution File: SEU154+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU154+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 : 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 18:32:11 EDT 2022
% Result : Theorem 0.10s 0.41s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 108 ( 34 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 130 ( 54 ~; 35 |; 32 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 62 ( 49 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f515,plain,
$false,
inference(subsumption_resolution,[],[f508,f297]) ).
fof(f297,plain,
~ in(sK10,sK9),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ~ disjoint(singleton(sK10),sK9)
& ~ in(sK10,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f200,f201]) ).
fof(f201,plain,
( ? [X0,X1] :
( ~ disjoint(singleton(X1),X0)
& ~ in(X1,X0) )
=> ( ~ disjoint(singleton(sK10),sK9)
& ~ in(sK10,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
? [X0,X1] :
( ~ disjoint(singleton(X1),X0)
& ~ in(X1,X0) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
? [X1,X0] :
( ~ disjoint(singleton(X0),X1)
& ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(f508,plain,
in(sK10,sK9),
inference(backward_demodulation,[],[f475,f503]) ).
fof(f503,plain,
sK10 = sK13(unordered_pair(sK10,sK10),sK9),
inference(resolution,[],[f385,f472]) ).
fof(f472,plain,
in(sK13(unordered_pair(sK10,sK10),sK9),unordered_pair(sK10,sK10)),
inference(resolution,[],[f337,f368]) ).
fof(f368,plain,
~ disjoint(unordered_pair(sK10,sK10),sK9),
inference(definition_unfolding,[],[f298,f327]) ).
fof(f327,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f298,plain,
~ disjoint(singleton(sK10),sK9),
inference(cnf_transformation,[],[f202]) ).
fof(f337,plain,
! [X0,X1] :
( disjoint(X0,X1)
| in(sK13(X0,X1),X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ( in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) )
& ( ~ disjoint(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f114,f226]) ).
fof(f226,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& in(X2,X0) )
=> ( in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ? [X2] :
( in(X2,X1)
& in(X2,X0) ) )
& ( ~ disjoint(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X1,X0] :
( ~ ( disjoint(X0,X1)
& ? [X3] :
( in(X3,X1)
& in(X3,X0) ) )
& ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) ) ) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ? [X2] :
( in(X2,X1)
& in(X2,X0) )
& disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f385,plain,
! [X2,X1] :
( ~ in(X2,unordered_pair(X1,X1))
| X1 = X2 ),
inference(equality_resolution,[],[f349]) ).
fof(f349,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ in(X2,X0)
| unordered_pair(X1,X1) != X0 ),
inference(definition_unfolding,[],[f242,f327]) ).
fof(f242,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ in(X2,X0)
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| X1 != X2 )
& ( X1 = X2
| ~ in(X2,X0) ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ( ( sK0(X0,X1) != X1
| ~ in(sK0(X0,X1),X0) )
& ( sK0(X0,X1) = X1
| in(sK0(X0,X1),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f152,f153]) ).
fof(f153,plain,
! [X0,X1] :
( ? [X3] :
( ( X1 != X3
| ~ in(X3,X0) )
& ( X1 = X3
| in(X3,X0) ) )
=> ( ( sK0(X0,X1) != X1
| ~ in(sK0(X0,X1),X0) )
& ( sK0(X0,X1) = X1
| in(sK0(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| X1 != X2 )
& ( X1 = X2
| ~ in(X2,X0) ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X3] :
( ( X1 != X3
| ~ in(X3,X0) )
& ( X1 = X3
| in(X3,X0) ) ) ) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| X1 != X2 )
& ( X1 = X2
| ~ in(X2,X0) ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X2] :
( ( X1 != X2
| ~ in(X2,X0) )
& ( X1 = X2
| in(X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> X1 = X2 )
<=> singleton(X1) = X0 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( singleton(X0) = X1
<=> ! [X2] :
( X0 = X2
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f475,plain,
in(sK13(unordered_pair(sK10,sK10),sK9),sK9),
inference(resolution,[],[f338,f368]) ).
fof(f338,plain,
! [X0,X1] :
( disjoint(X0,X1)
| in(sK13(X0,X1),X1) ),
inference(cnf_transformation,[],[f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU154+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26 % Computer : n024.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Aug 30 14:44:34 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.10/0.34 % (31089)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.35 % (31087)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.35 % (31077)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.35 % (31076)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)
% 0.10/0.35 % (31085)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)
% 0.10/0.36 % (31081)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.10/0.36 % (31084)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.36 % (31088)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.10/0.36 % (31086)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.36 % (31084)Instruction limit reached!
% 0.10/0.36 % (31084)------------------------------
% 0.10/0.36 % (31084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.36 % (31084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.36 % (31084)Termination reason: Unknown
% 0.10/0.36 % (31084)Termination phase: Property scanning
% 0.10/0.36
% 0.10/0.36 % (31084)Memory used [KB]: 1023
% 0.10/0.36 % (31084)Time elapsed: 0.003 s
% 0.10/0.36 % (31084)Instructions burned: 4 (million)
% 0.10/0.36 % (31084)------------------------------
% 0.10/0.36 % (31084)------------------------------
% 0.10/0.37 % (31096)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)
% 0.10/0.37 % (31092)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)
% 0.10/0.37 % (31079)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.37 % (31090)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)
% 0.10/0.37 % (31078)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.10/0.38 % (31095)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.38 % (31099)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.10/0.38 TRYING [1]
% 0.10/0.38 TRYING [2]
% 0.10/0.38 % (31080)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.38 % (31082)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)
% 0.10/0.39 % (31105)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)
% 0.10/0.39 % (31103)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.10/0.39 % (31104)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.10/0.40 % (31101)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.10/0.40 % (31100)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.10/0.40 % (31102)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)
% 0.10/0.40 % (31093)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.10/0.40 % (31094)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.40 % (31098)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)
% 0.10/0.41 TRYING [3]
% 0.10/0.41 % (31099)First to succeed.
% 0.10/0.41 % (31099)Refutation found. Thanks to Tanya!
% 0.10/0.41 % SZS status Theorem for theBenchmark
% 0.10/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.41 % (31099)------------------------------
% 0.10/0.41 % (31099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.41 % (31099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.41 % (31099)Termination reason: Refutation
% 0.10/0.41
% 0.10/0.41 % (31099)Memory used [KB]: 5756
% 0.10/0.41 % (31099)Time elapsed: 0.095 s
% 0.10/0.41 % (31099)Instructions burned: 13 (million)
% 0.10/0.41 % (31099)------------------------------
% 0.10/0.41 % (31099)------------------------------
% 0.10/0.41 % (31075)Success in time 0.147 s
%------------------------------------------------------------------------------