TSTP Solution File: SET638+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET638+3 : 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 : n022.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 18:25:11 EDT 2022
% Result : Theorem 1.51s 0.54s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 9 unt; 0 def)
% Number of atoms : 158 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 163 ( 58 ~; 54 |; 37 &)
% ( 6 <=>; 8 =>; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 97 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f238,plain,
$false,
inference(subsumption_resolution,[],[f237,f71]) ).
fof(f71,plain,
~ subset(sK4,sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( empty_set = intersection(sK4,sK3)
& ~ subset(sK4,sK2)
& subset(sK4,union(sK2,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2] :
( empty_set = intersection(X2,X1)
& ~ subset(X2,X0)
& subset(X2,union(X0,X1)) )
=> ( empty_set = intersection(sK4,sK3)
& ~ subset(sK4,sK2)
& subset(sK4,union(sK2,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2] :
( empty_set = intersection(X2,X1)
& ~ subset(X2,X0)
& subset(X2,union(X0,X1)) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
? [X1,X0,X2] :
( empty_set = intersection(X2,X0)
& ~ subset(X2,X1)
& subset(X2,union(X1,X0)) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X1,X0,X2] :
( ~ subset(X2,X1)
& subset(X2,union(X1,X0))
& empty_set = intersection(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X1,X0,X2] :
( ( subset(X2,union(X1,X0))
& empty_set = intersection(X2,X0) )
=> subset(X2,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( ( subset(X0,union(X1,X2))
& empty_set = intersection(X0,X2) )
=> subset(X0,X1) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( ( subset(X0,union(X1,X2))
& empty_set = intersection(X0,X2) )
=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th120) ).
fof(f237,plain,
subset(sK4,sK2),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f235,plain,
( subset(sK4,sK2)
| subset(sK4,sK2) ),
inference(resolution,[],[f216,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f38,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,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f216,plain,
! [X0] :
( member(sK0(X0,sK2),sK4)
| subset(X0,sK2) ),
inference(resolution,[],[f178,f85]) ).
fof(f85,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f178,plain,
! [X6] :
( ~ member(X6,sK2)
| member(X6,sK4) ),
inference(subsumption_resolution,[],[f171,f168]) ).
fof(f168,plain,
! [X0] :
( member(X0,sK3)
| member(X0,sK4) ),
inference(subsumption_resolution,[],[f162,f83]) ).
fof(f83,plain,
! [X0] : member(X0,empty_set),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f52,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
fof(f162,plain,
! [X0] :
( ~ member(X0,empty_set)
| member(X0,sK3)
| member(X0,sK4) ),
inference(superposition,[],[f84,f72]) ).
fof(f72,plain,
empty_set = intersection(sK4,sK3),
inference(cnf_transformation,[],[f47]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X2,X1))
| member(X0,X2)
| member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| member(X0,intersection(X2,X1))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X2,X1)) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X2,X0] :
( ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) )
& ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0] :
( ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) )
& ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X2,X0] :
( member(X1,intersection(X0,X2))
<=> ( member(X1,X0)
& member(X1,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( ( member(X2,X1)
& member(X2,X0) )
<=> member(X2,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f171,plain,
! [X6] :
( member(X6,sK4)
| ~ member(X6,sK3)
| ~ member(X6,sK2) ),
inference(resolution,[],[f92,f130]) ).
fof(f130,plain,
! [X1] :
( ~ member(X1,union(sK2,sK3))
| member(X1,sK4) ),
inference(superposition,[],[f88,f107]) ).
fof(f107,plain,
sK4 = intersection(sK4,union(sK2,sK3)),
inference(resolution,[],[f73,f70]) ).
fof(f70,plain,
subset(sK4,union(sK2,sK3)),
inference(cnf_transformation,[],[f47]) ).
fof(f73,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| intersection(X0,X1) = X0 ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| intersection(X0,X1) = X0 ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
=> intersection(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_intersection) ).
fof(f88,plain,
! [X2,X0,X1] :
( member(X0,intersection(X2,X1))
| ~ member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X2,X1)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f92,plain,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,union(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X2,X1,X0] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET638+3 : 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
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 30 14:10:26 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.50 % (6025)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)
% 0.20/0.50 % (6014)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 TRYING [3]
% 0.20/0.51 % (6021)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.51 % (6033)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)
% 1.35/0.52 % (6040)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)
% 1.35/0.52 % (6017)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)
% 1.35/0.52 % (6018)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.52 % (6016)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)
% 1.35/0.52 % (6015)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)
% 1.35/0.52 % (6019)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)
% 1.35/0.52 % (6033)First to succeed.
% 1.35/0.52 % (6023)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)
% 1.35/0.52 % (6022)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.35/0.52 % (6022)Instruction limit reached!
% 1.35/0.52 % (6022)------------------------------
% 1.35/0.52 % (6022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.52 % (6022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.52 % (6022)Termination reason: Unknown
% 1.35/0.52 % (6022)Termination phase: Saturation
% 1.35/0.52
% 1.35/0.52 % (6022)Memory used [KB]: 5373
% 1.35/0.52 % (6022)Time elapsed: 0.134 s
% 1.35/0.52 % (6022)Instructions burned: 3 (million)
% 1.35/0.52 % (6022)------------------------------
% 1.35/0.52 % (6022)------------------------------
% 1.35/0.52 % (6029)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.35/0.52 % (6036)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)
% 1.35/0.53 % (6035)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.35/0.53 % (6021)Instruction limit reached!
% 1.35/0.53 % (6021)------------------------------
% 1.35/0.53 % (6021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 TRYING [4]
% 1.35/0.53 % (6032)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.53 % (6041)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)
% 1.51/0.53 % (6039)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.53 % (6027)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.53 % (6037)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)
% 1.51/0.53 % (6021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.53 % (6021)Termination reason: Unknown
% 1.51/0.53 % (6043)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)
% 1.51/0.53 % (6021)Termination phase: Saturation
% 1.51/0.53
% 1.51/0.53 % (6021)Memory used [KB]: 5500
% 1.51/0.53 % (6021)Time elapsed: 0.127 s
% 1.51/0.53 % (6021)Instructions burned: 8 (million)
% 1.51/0.53 % (6021)------------------------------
% 1.51/0.53 % (6021)------------------------------
% 1.51/0.53 % (6028)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)
% 1.51/0.53 % (6031)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.53 TRYING [1]
% 1.51/0.54 TRYING [2]
% 1.51/0.54 % (6024)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.54 TRYING [3]
% 1.51/0.54 % (6026)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.54 % (6042)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.51/0.54 % (6038)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.51/0.54 % (6020)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)
% 1.51/0.54 % (6033)Refutation found. Thanks to Tanya!
% 1.51/0.54 % SZS status Theorem for theBenchmark
% 1.51/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.54 % (6033)------------------------------
% 1.51/0.54 % (6033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (6033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (6033)Termination reason: Refutation
% 1.51/0.54
% 1.51/0.54 % (6033)Memory used [KB]: 1023
% 1.51/0.54 % (6033)Time elapsed: 0.128 s
% 1.51/0.54 % (6033)Instructions burned: 6 (million)
% 1.51/0.54 % (6033)------------------------------
% 1.51/0.54 % (6033)------------------------------
% 1.51/0.54 % (6013)Success in time 0.201 s
%------------------------------------------------------------------------------