TSTP Solution File: SET594+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET594+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 : n013.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 18:25:01 EDT 2022
% Result : Theorem 1.34s 0.61s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 116 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 46 ~; 39 |; 24 &)
% ( 6 <=>; 7 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 71 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(subsumption_resolution,[],[f93,f64]) ).
fof(f64,plain,
~ member(sK1(sK4,union(sK2,sK3)),sK2),
inference(resolution,[],[f49,f62]) ).
fof(f62,plain,
~ member(sK1(sK4,union(sK2,sK3)),union(sK2,sK3)),
inference(resolution,[],[f47,f53]) ).
fof(f53,plain,
~ subset(sK4,union(sK2,sK3)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ~ subset(sK4,union(sK2,sK3))
& sK4 = union(intersection(sK4,sK2),intersection(sK4,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f31,f32]) ).
fof(f32,plain,
( ? [X0,X1,X2] :
( ~ subset(X2,union(X0,X1))
& union(intersection(X2,X0),intersection(X2,X1)) = X2 )
=> ( ~ subset(sK4,union(sK2,sK3))
& sK4 = union(intersection(sK4,sK2),intersection(sK4,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2] :
( ~ subset(X2,union(X0,X1))
& union(intersection(X2,X0),intersection(X2,X1)) = X2 ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
? [X2,X0,X1] :
( ~ subset(X1,union(X2,X0))
& union(intersection(X1,X2),intersection(X1,X0)) = X1 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1,X2] :
( union(intersection(X1,X2),intersection(X1,X0)) = X1
=> subset(X1,union(X2,X0)) ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X2,X0,X1] :
( union(intersection(X0,X1),intersection(X0,X2)) = X0
=> subset(X0,union(X1,X2)) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X2,X0,X1] :
( union(intersection(X0,X1),intersection(X0,X2)) = X0
=> subset(X0,union(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th53) ).
fof(f47,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f25,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f25,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,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f49,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X1,X0)) )
& ( member(X2,union(X1,X0))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X0,X2] :
( ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X1,X0)) )
& ( member(X2,union(X1,X0))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0,X2] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X1,X0)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f93,plain,
member(sK1(sK4,union(sK2,sK3)),sK2),
inference(resolution,[],[f91,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) )
& ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) )
& ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( member(X2,X1)
& member(X2,X0) )
<=> member(X2,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f91,plain,
member(sK1(sK4,union(sK2,sK3)),intersection(sK4,sK2)),
inference(subsumption_resolution,[],[f90,f63]) ).
fof(f63,plain,
member(sK1(sK4,union(sK2,sK3)),sK4),
inference(resolution,[],[f48,f53]) ).
fof(f48,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f90,plain,
( member(sK1(sK4,union(sK2,sK3)),intersection(sK4,sK2))
| ~ member(sK1(sK4,union(sK2,sK3)),sK4) ),
inference(resolution,[],[f88,f68]) ).
fof(f68,plain,
~ member(sK1(sK4,union(sK2,sK3)),sK3),
inference(resolution,[],[f50,f62]) ).
fof(f50,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f88,plain,
! [X1] :
( member(X1,sK3)
| ~ member(X1,sK4)
| member(X1,intersection(sK4,sK2)) ),
inference(resolution,[],[f84,f57]) ).
fof(f84,plain,
! [X0] :
( member(X0,intersection(sK4,sK3))
| member(X0,intersection(sK4,sK2))
| ~ member(X0,sK4) ),
inference(superposition,[],[f51,f52]) ).
fof(f52,plain,
sK4 = union(intersection(sK4,sK2),intersection(sK4,sK3)),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET594+3 : 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 : n013.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 13:57:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.34/0.53 % (20446)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.34/0.53 % (20445)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.34/0.53 % (20462)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.34/0.54 % (20445)Instruction limit reached!
% 1.34/0.54 % (20445)------------------------------
% 1.34/0.54 % (20445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (20445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (20445)Termination reason: Unknown
% 1.34/0.54 % (20445)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (20445)Memory used [KB]: 5500
% 1.34/0.54 % (20445)Time elapsed: 0.116 s
% 1.34/0.54 % (20445)Instructions burned: 7 (million)
% 1.34/0.54 % (20445)------------------------------
% 1.34/0.54 % (20445)------------------------------
% 1.34/0.54 % (20453)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)
% 1.34/0.54 % (20461)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)
% 1.34/0.54 % (20454)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)
% 1.34/0.54 % (20452)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)
% 1.34/0.55 % (20444)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)
% 1.34/0.55 TRYING [1]
% 1.34/0.55 TRYING [2]
% 1.34/0.55 % (20446)Instruction limit reached!
% 1.34/0.55 % (20446)------------------------------
% 1.34/0.55 % (20446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (20446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (20446)Termination reason: Unknown
% 1.34/0.55 % (20446)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (20446)Memory used [KB]: 5373
% 1.34/0.55 % (20446)Time elapsed: 0.128 s
% 1.34/0.55 % (20446)Instructions burned: 3 (million)
% 1.34/0.55 % (20446)------------------------------
% 1.34/0.55 % (20446)------------------------------
% 1.34/0.55 TRYING [3]
% 1.34/0.55 TRYING [4]
% 1.34/0.56 % (20459)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.34/0.56 % (20464)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)
% 1.34/0.56 % (20450)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.34/0.56 % (20440)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)
% 1.34/0.56 % (20465)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)
% 1.34/0.57 % (20442)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.57 % (20439)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)
% 1.34/0.57 % (20447)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)
% 1.34/0.57 % (20455)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.34/0.57 % (20449)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)
% 1.34/0.57 TRYING [1]
% 1.34/0.57 % (20443)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)
% 1.34/0.57 % (20463)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.34/0.57 % (20448)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.34/0.57 TRYING [2]
% 1.34/0.57 TRYING [3]
% 1.34/0.57 % (20441)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)
% 1.34/0.57 % (20458)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)
% 1.34/0.57 % (20438)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)
% 1.34/0.58 % (20439)Refutation not found, incomplete strategy% (20439)------------------------------
% 1.34/0.58 % (20439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.58 TRYING [1]
% 1.34/0.58 % (20439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.58 % (20439)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.58
% 1.34/0.58 % (20439)Memory used [KB]: 5373
% 1.34/0.58 % (20439)Time elapsed: 0.131 s
% 1.34/0.58 % (20439)Instructions burned: 2 (million)
% 1.34/0.58 % (20439)------------------------------
% 1.34/0.58 % (20439)------------------------------
% 1.34/0.58 TRYING [2]
% 1.34/0.58 TRYING [3]
% 1.34/0.58 % (20456)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.34/0.58 TRYING [4]
% 1.34/0.58 % (20466)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.34/0.58 % (20457)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)
% 1.34/0.58 % (20460)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)
% 1.34/0.58 % (20460)First to succeed.
% 1.34/0.59 % (20451)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.34/0.59 % (20467)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)
% 1.34/0.60 TRYING [4]
% 1.34/0.61 TRYING [5]
% 1.34/0.61 % (20460)Refutation found. Thanks to Tanya!
% 1.34/0.61 % SZS status Theorem for theBenchmark
% 1.34/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.61 % (20460)------------------------------
% 1.34/0.61 % (20460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.61 % (20460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.61 % (20460)Termination reason: Refutation
% 1.34/0.61
% 1.34/0.61 % (20460)Memory used [KB]: 895
% 1.34/0.61 % (20460)Time elapsed: 0.177 s
% 1.34/0.61 % (20460)Instructions burned: 3 (million)
% 1.34/0.61 % (20460)------------------------------
% 1.34/0.61 % (20460)------------------------------
% 1.34/0.61 % (20437)Success in time 0.248 s
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