TSTP Solution File: SET653+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET653+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_uns --cores 0 -t %d %s
% Computer : n006.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 18:21:45 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 159 ( 51 ~; 36 |; 46 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 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 : 71 ( 47 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
$false,
inference(subsumption_resolution,[],[f154,f146]) ).
fof(f146,plain,
subset(domain_of(sK12),sK9),
inference(unit_resulting_resolution,[],[f102,f102,f130,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| subset(domain_of(X2),X0)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) ) )
| ~ ilf_type(X1,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/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f130,plain,
ilf_type(sK12,relation_type(sK9,sK11)),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ilf_type(sK10,set_type)
& ilf_type(sK11,set_type)
& subset(sK9,sK10)
& ilf_type(sK12,relation_type(sK9,sK11))
& ~ ilf_type(sK12,relation_type(sK10,sK11))
& ilf_type(sK9,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f56,f87,f86,f85,f84]) ).
fof(f84,plain,
( ? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( subset(X0,X1)
& ilf_type(X3,relation_type(X0,X2))
& ~ ilf_type(X3,relation_type(X1,X2)) ) ) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( subset(sK9,X1)
& ilf_type(X3,relation_type(sK9,X2))
& ~ ilf_type(X3,relation_type(X1,X2)) ) ) )
& ilf_type(sK9,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( subset(sK9,X1)
& ilf_type(X3,relation_type(sK9,X2))
& ~ ilf_type(X3,relation_type(X1,X2)) ) ) )
=> ( ilf_type(sK10,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( subset(sK9,sK10)
& ilf_type(X3,relation_type(sK9,X2))
& ~ ilf_type(X3,relation_type(sK10,X2)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( subset(sK9,sK10)
& ilf_type(X3,relation_type(sK9,X2))
& ~ ilf_type(X3,relation_type(sK10,X2)) ) )
=> ( ilf_type(sK11,set_type)
& ? [X3] :
( subset(sK9,sK10)
& ilf_type(X3,relation_type(sK9,sK11))
& ~ ilf_type(X3,relation_type(sK10,sK11)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X3] :
( subset(sK9,sK10)
& ilf_type(X3,relation_type(sK9,sK11))
& ~ ilf_type(X3,relation_type(sK10,sK11)) )
=> ( subset(sK9,sK10)
& ilf_type(sK12,relation_type(sK9,sK11))
& ~ ilf_type(sK12,relation_type(sK10,sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( subset(X0,X1)
& ilf_type(X3,relation_type(X0,X2))
& ~ ilf_type(X3,relation_type(X1,X2)) ) ) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
& subset(X0,X1)
& ilf_type(X3,relation_type(X0,X2)) )
& 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(X0,X2))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
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(X0,X2))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_15) ).
fof(f102,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f154,plain,
~ subset(domain_of(sK12),sK9),
inference(unit_resulting_resolution,[],[f102,f131,f102,f102,f145,f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1)
| subset(X0,X2)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( subset(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f53]) ).
fof(f53,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/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f145,plain,
~ subset(domain_of(sK12),sK10),
inference(unit_resulting_resolution,[],[f102,f102,f102,f129,f130,f112]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ subset(domain_of(X3),X1)
| ~ ilf_type(X3,relation_type(X0,X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X2))
| ~ subset(domain_of(X3),X1)
| ilf_type(X3,relation_type(X1,X2)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
| ~ subset(domain_of(X3),X1)
| ~ ilf_type(X3,relation_type(X0,X2)) )
| ~ 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(X0,X2))
=> ( subset(domain_of(X3),X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f129,plain,
~ ilf_type(sK12,relation_type(sK10,sK11)),
inference(cnf_transformation,[],[f88]) ).
fof(f131,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET653+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.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 14:09:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (2860)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (2879)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.50 % (2880)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50 % (2863)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (2872)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (2871)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (2863)Refutation not found, incomplete strategy% (2863)------------------------------
% 0.20/0.51 % (2863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2863)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (2863)Memory used [KB]: 5884
% 0.20/0.51 % (2863)Time elapsed: 0.097 s
% 0.20/0.51 % (2863)Instructions burned: 2 (million)
% 0.20/0.51 % (2863)------------------------------
% 0.20/0.51 % (2863)------------------------------
% 0.20/0.51 % (2864)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (2877)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.51 % (2871)Instruction limit reached!
% 0.20/0.51 % (2871)------------------------------
% 0.20/0.51 % (2871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2871)Termination reason: Unknown
% 0.20/0.51 % (2871)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (2871)Memory used [KB]: 6012
% 0.20/0.51 % (2871)Time elapsed: 0.003 s
% 0.20/0.51 % (2871)Instructions burned: 3 (million)
% 0.20/0.51 % (2871)------------------------------
% 0.20/0.51 % (2871)------------------------------
% 0.20/0.51 % (2872)Instruction limit reached!
% 0.20/0.51 % (2872)------------------------------
% 0.20/0.51 % (2872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2864)First to succeed.
% 0.20/0.51 % (2872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2872)Termination reason: Unknown
% 0.20/0.51 % (2872)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (2872)Memory used [KB]: 6140
% 0.20/0.51 % (2872)Time elapsed: 0.068 s
% 0.20/0.51 % (2872)Instructions burned: 8 (million)
% 0.20/0.51 % (2872)------------------------------
% 0.20/0.51 % (2872)------------------------------
% 0.20/0.51 % (2880)Also succeeded, but the first one will report.
% 0.20/0.52 % (2869)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52 % (2864)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (2864)------------------------------
% 0.20/0.52 % (2864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2864)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (2864)Memory used [KB]: 6012
% 0.20/0.52 % (2864)Time elapsed: 0.071 s
% 0.20/0.52 % (2864)Instructions burned: 5 (million)
% 0.20/0.52 % (2864)------------------------------
% 0.20/0.52 % (2864)------------------------------
% 0.20/0.52 % (2854)Success in time 0.168 s
%------------------------------------------------------------------------------