TSTP Solution File: SET691+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET691+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 : n012.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 18:25:21 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 99 ( 39 ~; 32 |; 18 &)
% ( 6 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f131,plain,
$false,
inference(subsumption_resolution,[],[f130,f105]) ).
fof(f105,plain,
! [X9] : subset(empty_set,X9),
inference(resolution,[],[f77,f89]) ).
fof(f89,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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(f77,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( member(sK2(X0,X1),X0)
& ~ member(sK2(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f45,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK2(X0,X1),X0)
& ~ member(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f130,plain,
~ subset(empty_set,sK3),
inference(subsumption_resolution,[],[f129,f94]) ).
fof(f94,plain,
subset(sK3,empty_set),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f93,plain,
( subset(sK3,empty_set)
| subset(sK3,empty_set) ),
inference(resolution,[],[f84,f78]) ).
fof(f78,plain,
( equal_set(sK3,empty_set)
| subset(sK3,empty_set) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( ~ subset(sK3,empty_set)
| ~ equal_set(sK3,empty_set) )
& ( subset(sK3,empty_set)
| equal_set(sK3,empty_set) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f48,f49]) ).
fof(f49,plain,
( ? [X0] :
( ( ~ subset(X0,empty_set)
| ~ equal_set(X0,empty_set) )
& ( subset(X0,empty_set)
| equal_set(X0,empty_set) ) )
=> ( ( ~ subset(sK3,empty_set)
| ~ equal_set(sK3,empty_set) )
& ( subset(sK3,empty_set)
| equal_set(sK3,empty_set) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0] :
( ( ~ subset(X0,empty_set)
| ~ equal_set(X0,empty_set) )
& ( subset(X0,empty_set)
| equal_set(X0,empty_set) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
? [X0] :
( equal_set(X0,empty_set)
<~> subset(X0,empty_set) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] :
( equal_set(X0,empty_set)
<=> subset(X0,empty_set) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] :
( equal_set(X0,empty_set)
<=> subset(X0,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI16) ).
fof(f84,plain,
! [X0,X1] :
( ~ equal_set(X1,X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| ~ equal_set(X1,X0) )
& ( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| ~ equal_set(X1,X0) )
& ( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> equal_set(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f129,plain,
( ~ subset(sK3,empty_set)
| ~ subset(empty_set,sK3) ),
inference(resolution,[],[f83,f96]) ).
fof(f96,plain,
~ equal_set(sK3,empty_set),
inference(resolution,[],[f94,f79]) ).
fof(f79,plain,
( ~ subset(sK3,empty_set)
| ~ equal_set(sK3,empty_set) ),
inference(cnf_transformation,[],[f50]) ).
fof(f83,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET691+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:13:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.55 % (11127)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (11126)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)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 % (11128)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (11127)Instruction limit reached!
% 0.19/0.55 % (11127)------------------------------
% 0.19/0.55 % (11127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11144)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (11128)Instruction limit reached!
% 0.19/0.55 % (11128)------------------------------
% 0.19/0.55 % (11128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11128)Termination reason: Unknown
% 0.19/0.55 % (11128)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (11128)Memory used [KB]: 895
% 0.19/0.55 % (11128)Time elapsed: 0.004 s
% 0.19/0.55 % (11128)Instructions burned: 2 (million)
% 0.19/0.55 % (11128)------------------------------
% 0.19/0.55 % (11128)------------------------------
% 0.19/0.55 % (11142)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)
% 0.19/0.56 % (11143)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)
% 0.19/0.56 % (11134)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)
% 0.19/0.56 TRYING [2]
% 0.19/0.56 % (11135)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)
% 0.19/0.56 TRYING [3]
% 0.19/0.56 % (11136)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)
% 0.19/0.56 % (11135)First to succeed.
% 0.19/0.56 % (11127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11127)Termination reason: Unknown
% 0.19/0.56 % (11127)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (11127)Memory used [KB]: 5500
% 0.19/0.56 % (11127)Time elapsed: 0.130 s
% 0.19/0.56 % (11127)Instructions burned: 7 (million)
% 0.19/0.56 % (11127)------------------------------
% 0.19/0.56 % (11127)------------------------------
% 0.19/0.56 % (11135)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (11135)------------------------------
% 0.19/0.56 % (11135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (11135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11135)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (11135)Memory used [KB]: 1023
% 0.19/0.56 % (11135)Time elapsed: 0.143 s
% 0.19/0.56 % (11135)Instructions burned: 3 (million)
% 0.19/0.56 % (11135)------------------------------
% 0.19/0.56 % (11135)------------------------------
% 0.19/0.56 % (11119)Success in time 0.207 s
%------------------------------------------------------------------------------