TSTP Solution File: SET642+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET642+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 : n029.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 18:21:43 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 134 ( 41 ~; 27 |; 43 &)
% ( 0 <=>; 23 =>; 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 38 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(subsumption_resolution,[],[f66,f63]) ).
fof(f63,plain,
~ subset(sK2,cross_product(sK3,sK4)),
inference(unit_resulting_resolution,[],[f55,f55,f55,f58,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type)
| ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ subset(X0,cross_product(X1,X2)) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type) )
| ~ 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,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f58,plain,
~ ilf_type(sK2,relation_type(sK3,sK4)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ilf_type(sK2,set_type)
& subset(sK2,sK5)
& ilf_type(sK5,relation_type(sK3,sK4))
& ~ ilf_type(sK2,relation_type(sK3,sK4))
& ilf_type(sK4,set_type)
& ilf_type(sK3,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f32,f44,f43,f42,f41]) ).
fof(f41,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(X0,X3)
& ilf_type(X3,relation_type(X1,X2))
& ~ ilf_type(X0,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) ) )
=> ( ilf_type(sK2,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(sK2,X3)
& ilf_type(X3,relation_type(X1,X2))
& ~ ilf_type(sK2,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(sK2,X3)
& ilf_type(X3,relation_type(X1,X2))
& ~ ilf_type(sK2,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( subset(sK2,X3)
& ilf_type(X3,relation_type(sK3,X2))
& ~ ilf_type(sK2,relation_type(sK3,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(sK3,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X2] :
( ? [X3] :
( subset(sK2,X3)
& ilf_type(X3,relation_type(sK3,X2))
& ~ ilf_type(sK2,relation_type(sK3,X2)) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( subset(sK2,X3)
& ilf_type(X3,relation_type(sK3,sK4))
& ~ ilf_type(sK2,relation_type(sK3,sK4)) )
& ilf_type(sK4,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X3] :
( subset(sK2,X3)
& ilf_type(X3,relation_type(sK3,sK4))
& ~ ilf_type(sK2,relation_type(sK3,sK4)) )
=> ( subset(sK2,sK5)
& ilf_type(sK5,relation_type(sK3,sK4))
& ~ ilf_type(sK2,relation_type(sK3,sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(X0,X3)
& ilf_type(X3,relation_type(X1,X2))
& ~ ilf_type(X0,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
& subset(X0,X3)
& ilf_type(X3,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,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(X1,X2))
=> ( subset(X0,X3)
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,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(X1,X2))
=> ( subset(X0,X3)
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_4) ).
fof(f55,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f66,plain,
subset(sK2,cross_product(sK3,sK4)),
inference(unit_resulting_resolution,[],[f55,f60,f55,f55,f59,f50]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X3)
| ~ ilf_type(X1,set_type)
| subset(X0,cross_product(X1,X2))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ! [X3] :
( subset(X0,cross_product(X1,X2))
| ~ subset(X0,X3)
| ~ ilf_type(X3,relation_type(X1,X2)) )
| ~ ilf_type(X2,set_type) ) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(X0,cross_product(X1,X2))
| ~ subset(X0,X3)
| ~ ilf_type(X3,relation_type(X1,X2)) )
| ~ 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)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(X0,X3)
=> subset(X0,cross_product(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f59,plain,
ilf_type(sK5,relation_type(sK3,sK4)),
inference(cnf_transformation,[],[f45]) ).
fof(f60,plain,
subset(sK2,sK5),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % 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 : n029.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
% 0.20/0.34 % DateTime : Tue Aug 30 14:19:27 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.49 % (32210)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)
% 0.20/0.49 % (32210)Instruction limit reached!
% 0.20/0.49 % (32210)------------------------------
% 0.20/0.49 % (32210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (32210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (32210)Termination reason: Unknown
% 0.20/0.49 % (32210)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (32210)Memory used [KB]: 6012
% 0.20/0.49 % (32210)Time elapsed: 0.004 s
% 0.20/0.49 % (32210)Instructions burned: 3 (million)
% 0.20/0.49 % (32210)------------------------------
% 0.20/0.49 % (32210)------------------------------
% 0.20/0.49 % (32198)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (32197)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (32197)Refutation not found, incomplete strategy% (32197)------------------------------
% 0.20/0.49 % (32197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (32197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (32197)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (32197)Memory used [KB]: 6012
% 0.20/0.49 % (32197)Time elapsed: 0.091 s
% 0.20/0.49 % (32197)Instructions burned: 2 (million)
% 0.20/0.49 % (32197)------------------------------
% 0.20/0.49 % (32197)------------------------------
% 0.20/0.50 % (32202)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 % (32207)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (32206)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.50 % (32206)Refutation not found, incomplete strategy% (32206)------------------------------
% 0.20/0.50 % (32206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (32206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (32206)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (32206)Memory used [KB]: 6012
% 0.20/0.50 % (32206)Time elapsed: 0.097 s
% 0.20/0.50 % (32206)Instructions burned: 2 (million)
% 0.20/0.50 % (32206)------------------------------
% 0.20/0.50 % (32206)------------------------------
% 0.20/0.50 % (32198)First to succeed.
% 0.20/0.50 % (32224)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51 % (32198)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (32198)------------------------------
% 0.20/0.51 % (32198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (32198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (32198)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (32198)Memory used [KB]: 6012
% 0.20/0.51 % (32198)Time elapsed: 0.091 s
% 0.20/0.51 % (32198)Instructions burned: 1 (million)
% 0.20/0.51 % (32198)------------------------------
% 0.20/0.51 % (32198)------------------------------
% 0.20/0.51 % (32190)Success in time 0.152 s
%------------------------------------------------------------------------------