TSTP Solution File: SET654+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET654+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 : 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 18:25:14 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% Number of atoms : 182 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 214 ( 77 ~; 64 |; 46 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 111 ( 87 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f271,plain,
$false,
inference(subsumption_resolution,[],[f270,f121]) ).
fof(f121,plain,
~ ilf_type(sK9,relation_type(sK8,sK7)),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( subset(sK6,sK7)
& ilf_type(sK9,relation_type(sK8,sK6))
& ~ ilf_type(sK9,relation_type(sK8,sK7))
& ilf_type(sK8,set_type)
& ilf_type(sK7,set_type)
& ilf_type(sK6,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f50,f75,f74,f73,f72]) ).
fof(f72,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0))
& ~ ilf_type(X3,relation_type(X2,X1)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(sK6,X1)
& ilf_type(X3,relation_type(X2,sK6))
& ~ ilf_type(X3,relation_type(X2,X1)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(sK6,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(sK6,X1)
& ilf_type(X3,relation_type(X2,sK6))
& ~ ilf_type(X3,relation_type(X2,X1)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( subset(sK6,sK7)
& ilf_type(X3,relation_type(X2,sK6))
& ~ ilf_type(X3,relation_type(X2,sK7)) )
& ilf_type(X2,set_type) )
& ilf_type(sK7,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X2] :
( ? [X3] :
( subset(sK6,sK7)
& ilf_type(X3,relation_type(X2,sK6))
& ~ ilf_type(X3,relation_type(X2,sK7)) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( subset(sK6,sK7)
& ilf_type(X3,relation_type(sK8,sK6))
& ~ ilf_type(X3,relation_type(sK8,sK7)) )
& ilf_type(sK8,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X3] :
( subset(sK6,sK7)
& ilf_type(X3,relation_type(sK8,sK6))
& ~ ilf_type(X3,relation_type(sK8,sK7)) )
=> ( subset(sK6,sK7)
& ilf_type(sK9,relation_type(sK8,sK6))
& ~ ilf_type(sK9,relation_type(sK8,sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0))
& ~ ilf_type(X3,relation_type(X2,X1)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_16) ).
fof(f270,plain,
ilf_type(sK9,relation_type(sK8,sK7)),
inference(resolution,[],[f227,f240]) ).
fof(f240,plain,
ilf_type(sK9,relation_type(sK8,range_of(sK9))),
inference(resolution,[],[f190,f122]) ).
fof(f122,plain,
ilf_type(sK9,relation_type(sK8,sK6)),
inference(cnf_transformation,[],[f76]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| ilf_type(X0,relation_type(X1,range_of(X0))) ),
inference(resolution,[],[f178,f136]) ).
fof(f136,plain,
! [X0] : subset(X0,X0),
inference(subsumption_resolution,[],[f94,f88]) ).
fof(f88,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f94,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( ~ subset(range_of(X3),X1)
| ilf_type(X3,relation_type(X2,X1))
| ~ ilf_type(X3,relation_type(X2,X0)) ),
inference(subsumption_resolution,[],[f177,f88]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X2,X0))
| ~ ilf_type(X2,set_type)
| ~ subset(range_of(X3),X1)
| ilf_type(X3,relation_type(X2,X1)) ),
inference(subsumption_resolution,[],[f176,f88]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X2,X0))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X0,set_type)
| ilf_type(X3,relation_type(X2,X1))
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f105,f88]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X2,X0))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X0,set_type)
| ilf_type(X3,relation_type(X2,X1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ! [X3] :
( ~ ilf_type(X3,relation_type(X2,X0))
| ~ subset(range_of(X3),X1)
| ilf_type(X3,relation_type(X2,X1)) )
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(range_of(X3),X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f227,plain,
! [X0,X1] :
( ~ ilf_type(sK9,relation_type(X0,X1))
| ilf_type(sK9,relation_type(X0,sK7)) ),
inference(resolution,[],[f214,f191]) ).
fof(f191,plain,
! [X3,X4,X5] :
( ~ subset(range_of(X3),sK6)
| ilf_type(X3,relation_type(X4,sK7))
| ~ ilf_type(X3,relation_type(X4,X5)) ),
inference(resolution,[],[f178,f185]) ).
fof(f185,plain,
! [X0] :
( subset(X0,sK7)
| ~ subset(X0,sK6) ),
inference(resolution,[],[f156,f123]) ).
fof(f123,plain,
subset(sK6,sK7),
inference(cnf_transformation,[],[f76]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(subsumption_resolution,[],[f155,f88]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ subset(X1,X2)
| subset(X0,X2)
| ~ subset(X0,X1) ),
inference(subsumption_resolution,[],[f154,f88]) ).
fof(f154,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ subset(X0,X1) ),
inference(subsumption_resolution,[],[f89,f88]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| subset(X0,X2)
| ~ ilf_type(X0,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ subset(X0,X1)
| subset(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X2) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f214,plain,
subset(range_of(sK9),sK6),
inference(resolution,[],[f169,f122]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1) ),
inference(subsumption_resolution,[],[f168,f88]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f115,f88]) ).
fof(f115,plain,
! [X2,X0,X1] :
( subset(range_of(X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET654+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
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:07:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.50 % (1457)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)
% 0.21/0.50 % (1461)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.50 % (1461)Instruction limit reached!
% 0.21/0.50 % (1461)------------------------------
% 0.21/0.50 % (1461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (1461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (1461)Termination reason: Unknown
% 0.21/0.50 % (1461)Termination phase: Blocked clause elimination
% 0.21/0.50
% 0.21/0.50 % (1461)Memory used [KB]: 895
% 0.21/0.50 % (1461)Time elapsed: 0.003 s
% 0.21/0.50 % (1461)Instructions burned: 3 (million)
% 0.21/0.50 % (1461)------------------------------
% 0.21/0.50 % (1461)------------------------------
% 0.21/0.51 % (1462)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)
% 0.21/0.51 % (1459)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (1456)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (1459)Instruction limit reached!
% 0.21/0.51 % (1459)------------------------------
% 0.21/0.51 % (1459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (1459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (1459)Termination reason: Unknown
% 0.21/0.51 % (1459)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (1459)Memory used [KB]: 5500
% 0.21/0.51 % (1459)Time elapsed: 0.110 s
% 0.21/0.51 % (1459)Instructions burned: 7 (million)
% 0.21/0.51 % (1459)------------------------------
% 0.21/0.51 % (1459)------------------------------
% 0.21/0.51 % (1465)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (1473)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)
% 0.21/0.52 % (1475)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)
% 0.21/0.52 % (1453)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)
% 0.21/0.52 % (1467)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)
% 0.21/0.52 % (1464)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)
% 0.21/0.52 % (1472)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)
% 0.21/0.52 % (1481)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (1454)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)
% 0.21/0.53 % (1458)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)
% 0.21/0.53 % (1455)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)
% 0.21/0.53 % (1463)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (1452)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)
% 0.21/0.53 % (1453)Refutation not found, incomplete strategy% (1453)------------------------------
% 0.21/0.53 % (1453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (1453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (1453)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (1453)Memory used [KB]: 5500
% 0.21/0.53 % (1453)Time elapsed: 0.127 s
% 0.21/0.53 % (1453)Instructions burned: 6 (million)
% 0.21/0.53 % (1453)------------------------------
% 0.21/0.53 % (1453)------------------------------
% 0.21/0.53 % (1454)First to succeed.
% 0.21/0.53 % (1454)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (1454)------------------------------
% 0.21/0.53 % (1454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (1454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (1454)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (1454)Memory used [KB]: 1023
% 0.21/0.53 % (1454)Time elapsed: 0.130 s
% 0.21/0.53 % (1454)Instructions burned: 6 (million)
% 0.21/0.53 % (1454)------------------------------
% 0.21/0.53 % (1454)------------------------------
% 0.21/0.53 % (1451)Success in time 0.178 s
%------------------------------------------------------------------------------