TSTP Solution File: SET696+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET696+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 : n011.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 18:25:22 EDT 2022
% Result : Theorem 0.21s 0.58s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 9 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 141 ( 56 ~; 40 |; 30 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 87 ( 78 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128,plain,
$false,
inference(subsumption_resolution,[],[f127,f125]) ).
fof(f125,plain,
member(sK3(empty_set,intersection(difference(sK2,sK1),sK1)),sK1),
inference(resolution,[],[f123,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) )
& ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) )
& ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( member(X1,X0)
& member(X1,X2) )
<=> member(X1,intersection(X0,X2)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f123,plain,
member(sK3(empty_set,intersection(difference(sK2,sK1),sK1)),intersection(difference(sK2,sK1),sK1)),
inference(subsumption_resolution,[],[f121,f84]) ).
fof(f84,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f121,plain,
( member(sK3(intersection(difference(sK2,sK1),sK1),empty_set),empty_set)
| member(sK3(empty_set,intersection(difference(sK2,sK1),sK1)),intersection(difference(sK2,sK1),sK1)) ),
inference(resolution,[],[f114,f69]) ).
fof(f69,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ member(sK3(X0,X1),X0)
& member(sK3(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f41,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
=> ( ~ member(sK3(X0,X1),X0)
& member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) ) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f114,plain,
( ~ subset(empty_set,intersection(difference(sK2,sK1),sK1))
| member(sK3(empty_set,intersection(difference(sK2,sK1),sK1)),intersection(difference(sK2,sK1),sK1)) ),
inference(resolution,[],[f112,f69]) ).
fof(f112,plain,
( ~ subset(intersection(difference(sK2,sK1),sK1),empty_set)
| ~ subset(empty_set,intersection(difference(sK2,sK1),sK1)) ),
inference(resolution,[],[f78,f67]) ).
fof(f67,plain,
~ equal_set(intersection(difference(sK2,sK1),sK1),empty_set),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( subset(sK1,sK2)
& ~ equal_set(intersection(difference(sK2,sK1),sK1),empty_set) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f37,f38]) ).
fof(f38,plain,
( ? [X0,X1] :
( subset(X0,X1)
& ~ equal_set(intersection(difference(X1,X0),X0),empty_set) )
=> ( subset(sK1,sK2)
& ~ equal_set(intersection(difference(sK2,sK1),sK1),empty_set) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1] :
( subset(X0,X1)
& ~ equal_set(intersection(difference(X1,X0),X0),empty_set) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
? [X1,X0] :
( subset(X1,X0)
& ~ equal_set(intersection(difference(X0,X1),X1),empty_set) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1] :
( subset(X1,X0)
=> equal_set(intersection(difference(X0,X1),X1),empty_set) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X3,X0] :
( subset(X0,X3)
=> equal_set(intersection(difference(X3,X0),X0),empty_set) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X3,X0] :
( subset(X0,X3)
=> equal_set(intersection(difference(X3,X0),X0),empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI28) ).
fof(f78,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| equal_set(X0,X1)
| ~ subset(X0,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ~ subset(X0,X1)
| equal_set(X1,X0)
| ~ subset(X1,X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( equal_set(X1,X0)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f127,plain,
~ member(sK3(empty_set,intersection(difference(sK2,sK1),sK1)),sK1),
inference(resolution,[],[f124,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X2,X0] :
( ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) )
& ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X1,X2,X0] :
( ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) )
& ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] :
( member(X0,difference(X1,X2))
<=> ( member(X0,X1)
& ~ member(X0,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X3,X0] :
( member(X1,difference(X3,X0))
<=> ( member(X1,X3)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f124,plain,
member(sK3(empty_set,intersection(difference(sK2,sK1),sK1)),difference(sK2,sK1)),
inference(resolution,[],[f123,f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET696+4 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:18:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.53 % (6324)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)
% 0.21/0.53 % (6333)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)
% 0.21/0.54 % (6317)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (6325)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)
% 0.21/0.54 % (6316)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 TRYING [3]
% 0.21/0.55 % (6317)Instruction limit reached!
% 0.21/0.55 % (6317)------------------------------
% 0.21/0.55 % (6317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (6332)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)
% 0.21/0.55 % (6332)First to succeed.
% 0.21/0.55 % (6317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (6317)Termination reason: Unknown
% 0.21/0.55 % (6317)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (6317)Memory used [KB]: 5500
% 0.21/0.55 % (6317)Time elapsed: 0.117 s
% 0.21/0.55 % (6317)Instructions burned: 7 (million)
% 0.21/0.55 % (6317)------------------------------
% 0.21/0.55 % (6317)------------------------------
% 0.21/0.56 % (6310)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)
% 0.21/0.56 % (6313)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)
% 0.21/0.56 % (6315)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)
% 0.21/0.56 % (6336)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)
% 0.21/0.56 % (6322)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.56 % (6326)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)
% 0.21/0.56 TRYING [1]
% 0.21/0.56 TRYING [2]
% 0.21/0.56 TRYING [3]
% 0.21/0.57 % (6329)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)
% 0.21/0.57 % (6335)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.57 % (6331)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.57 % (6312)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)
% 0.21/0.57 % (6327)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.57 % (6318)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.57 TRYING [4]
% 0.21/0.57 % (6318)Instruction limit reached!
% 0.21/0.57 % (6318)------------------------------
% 0.21/0.57 % (6318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (6330)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)
% 0.21/0.57 % (6319)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)
% 0.21/0.57 TRYING [1]
% 0.21/0.57 % (6318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6318)Termination reason: Unknown
% 0.21/0.57 % (6318)Termination phase: Blocked clause elimination
% 0.21/0.57
% 0.21/0.57 % (6318)Memory used [KB]: 895
% 0.21/0.57 % (6318)Time elapsed: 0.004 s
% 0.21/0.57 % (6318)Instructions burned: 2 (million)
% 0.21/0.57 % (6318)------------------------------
% 0.21/0.57 % (6318)------------------------------
% 0.21/0.57 TRYING [2]
% 0.21/0.57 % (6337)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)
% 0.21/0.57 % (6314)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57 % (6323)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57 TRYING [3]
% 0.21/0.58 TRYING [4]
% 0.21/0.58 % (6332)Refutation found. Thanks to Tanya!
% 0.21/0.58 % SZS status Theorem for theBenchmark
% 0.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58 % (6332)------------------------------
% 0.21/0.58 % (6332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (6332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (6332)Termination reason: Refutation
% 0.21/0.58
% 0.21/0.58 % (6332)Memory used [KB]: 1023
% 0.21/0.58 % (6332)Time elapsed: 0.135 s
% 0.21/0.58 % (6332)Instructions burned: 3 (million)
% 0.21/0.58 % (6332)------------------------------
% 0.21/0.58 % (6332)------------------------------
% 0.21/0.58 % (6309)Success in time 0.218 s
%------------------------------------------------------------------------------