TSTP Solution File: SEU263+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n025.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 18:32:53 EDT 2022
% Result : Theorem 0.19s 0.59s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 12 unt; 0 def)
% Number of atoms : 160 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 151 ( 57 ~; 48 |; 25 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 151 ( 135 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(subsumption_resolution,[],[f223,f69]) ).
fof(f69,plain,
~ relation_of2_as_subset(sK3,sK2,sK5),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ~ relation_of2_as_subset(sK3,sK2,sK5)
& subset(relation_rng(sK3),sK5)
& relation_of2_as_subset(sK3,sK2,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f48,f49]) ).
fof(f49,plain,
( ? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X1,X0,X3)
& subset(relation_rng(X1),X3)
& relation_of2_as_subset(X1,X0,X2) )
=> ( ~ relation_of2_as_subset(sK3,sK2,sK5)
& subset(relation_rng(sK3),sK5)
& relation_of2_as_subset(sK3,sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X1,X0,X3)
& subset(relation_rng(X1),X3)
& relation_of2_as_subset(X1,X0,X2) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
? [X2,X0,X1,X3] :
( ~ relation_of2_as_subset(X0,X2,X3)
& subset(relation_rng(X0),X3)
& relation_of2_as_subset(X0,X2,X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X1,X3,X2,X0] :
( ~ relation_of2_as_subset(X0,X2,X3)
& subset(relation_rng(X0),X3)
& relation_of2_as_subset(X0,X2,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X1,X3,X2,X0] :
( relation_of2_as_subset(X0,X2,X1)
=> ( subset(relation_rng(X0),X3)
=> relation_of2_as_subset(X0,X2,X3) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X0,X2,X1] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X0,X2,X1] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f223,plain,
relation_of2_as_subset(sK3,sK2,sK5),
inference(resolution,[],[f219,f83]) ).
fof(f83,plain,
subset(sF7,sK5),
inference(definition_folding,[],[f68,f82]) ).
fof(f82,plain,
sF7 = relation_rng(sK3),
introduced(function_definition,[]) ).
fof(f68,plain,
subset(relation_rng(sK3),sK5),
inference(cnf_transformation,[],[f50]) ).
fof(f219,plain,
! [X0] :
( ~ subset(sF7,X0)
| relation_of2_as_subset(sK3,sK2,X0) ),
inference(resolution,[],[f218,f88]) ).
fof(f88,plain,
subset(relation_dom(sK3),sK2),
inference(resolution,[],[f77,f67]) ).
fof(f67,plain,
relation_of2_as_subset(sK3,sK2,sK4),
inference(cnf_transformation,[],[f50]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X1,X2,X0)
| subset(relation_dom(X1),X2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ( subset(relation_rng(X1),X0)
& subset(relation_dom(X1),X2) )
| ~ relation_of2_as_subset(X1,X2,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( ( subset(relation_rng(X1),X2)
& subset(relation_dom(X1),X0) )
| ~ relation_of2_as_subset(X1,X0,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X2,X0] :
( relation_of2_as_subset(X1,X0,X2)
=> ( subset(relation_rng(X1),X2)
& subset(relation_dom(X1),X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X2,X1] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f218,plain,
! [X2,X3] :
( ~ subset(relation_dom(sK3),X3)
| relation_of2_as_subset(sK3,X3,X2)
| ~ subset(sF7,X2) ),
inference(resolution,[],[f214,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ relation_of2(X0,X1,X2)
| relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) )
& ( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( relation_of2(X0,X1,X2)
<=> relation_of2_as_subset(X0,X1,X2) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f214,plain,
! [X0,X1] :
( relation_of2(sK3,X0,X1)
| ~ subset(sF7,X1)
| ~ subset(relation_dom(sK3),X0) ),
inference(resolution,[],[f191,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ subset(X2,cartesian_product2(X0,X1))
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( relation_of2(X2,X0,X1)
| ~ subset(X2,cartesian_product2(X0,X1)) )
& ( subset(X2,cartesian_product2(X0,X1))
| ~ relation_of2(X2,X0,X1) ) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X0,X2,X1] :
( ( relation_of2(X1,X0,X2)
| ~ subset(X1,cartesian_product2(X0,X2)) )
& ( subset(X1,cartesian_product2(X0,X2))
| ~ relation_of2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( relation_of2(X1,X0,X2)
<=> subset(X1,cartesian_product2(X0,X2)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] :
( subset(X2,cartesian_product2(X0,X1))
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relset_1) ).
fof(f191,plain,
! [X0,X1] :
( subset(sK3,cartesian_product2(X0,X1))
| ~ subset(relation_dom(sK3),X0)
| ~ subset(sF7,X1) ),
inference(resolution,[],[f165,f70]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( subset(cartesian_product2(X0,X3),cartesian_product2(X2,X1))
| ~ subset(X3,X1)
| ~ subset(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( subset(cartesian_product2(X0,X3),cartesian_product2(X2,X1))
| ~ subset(X0,X2)
| ~ subset(X3,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2,X3] :
( subset(cartesian_product2(X1,X3),cartesian_product2(X2,X0))
| ~ subset(X1,X2)
| ~ subset(X3,X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X3,X2] :
( subset(cartesian_product2(X1,X3),cartesian_product2(X2,X0))
| ~ subset(X1,X2)
| ~ subset(X3,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X3,X2] :
( ( subset(X1,X2)
& subset(X3,X0) )
=> subset(cartesian_product2(X1,X3),cartesian_product2(X2,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X0,X1,X2] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f165,plain,
! [X0] :
( ~ subset(cartesian_product2(relation_dom(sK3),sF7),X0)
| subset(sK3,X0) ),
inference(resolution,[],[f162,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ subset(X0,X1)
| subset(X2,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ subset(X2,X0)
| ~ subset(X0,X1)
| subset(X2,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X2,X1,X0] :
( ~ subset(X0,X2)
| ~ subset(X2,X1)
| subset(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| ~ subset(X0,X2)
| ~ subset(X2,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X2,X1) )
=> subset(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X2,X1] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f162,plain,
subset(sK3,cartesian_product2(relation_dom(sK3),sF7)),
inference(resolution,[],[f116,f128]) ).
fof(f128,plain,
relation(sK3),
inference(resolution,[],[f118,f87]) ).
fof(f87,plain,
! [X2,X3,X4] :
( ~ subset(X2,cartesian_product2(X3,X4))
| relation(X2) ),
inference(resolution,[],[f63,f71]) ).
fof(f71,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ~ element(X0,powerset(X1)) )
& ( element(X0,powerset(X1))
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ~ element(X1,powerset(X0)) )
& ( element(X1,powerset(X0))
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( subset(X1,X0)
<=> element(X1,powerset(X0)) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f118,plain,
subset(sK3,cartesian_product2(sK2,sK4)),
inference(resolution,[],[f102,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| subset(X2,cartesian_product2(X0,X1)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f102,plain,
relation_of2(sK3,sK2,sK4),
inference(resolution,[],[f81,f67]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f116,plain,
( ~ relation(sK3)
| subset(sK3,cartesian_product2(relation_dom(sK3),sF7)) ),
inference(superposition,[],[f66,f82]) ).
fof(f66,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % 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 : n025.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 15:08:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (11488)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.53 TRYING [4]
% 0.19/0.55 % (11510)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (11496)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 % (11494)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.56 % (11505)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 % (11492)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (11497)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 % (11493)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)
% 0.19/0.57 % (11489)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.58 % (11497)First to succeed.
% 0.19/0.58 % (11482)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)
% 0.19/0.58 % (11486)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58 TRYING [1]
% 0.19/0.58 TRYING [2]
% 0.19/0.58 TRYING [3]
% 0.19/0.58 % (11487)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)
% 0.19/0.58 % (11489)Instruction limit reached!
% 0.19/0.58 % (11489)------------------------------
% 0.19/0.58 % (11489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (11489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (11489)Termination reason: Unknown
% 0.19/0.58 % (11489)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (11489)Memory used [KB]: 5500
% 0.19/0.58 % (11489)Time elapsed: 0.103 s
% 0.19/0.58 % (11489)Instructions burned: 7 (million)
% 0.19/0.58 % (11489)------------------------------
% 0.19/0.58 % (11489)------------------------------
% 0.19/0.59 % (11497)Refutation found. Thanks to Tanya!
% 0.19/0.59 % SZS status Theorem for theBenchmark
% 0.19/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59 % (11497)------------------------------
% 0.19/0.59 % (11497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (11497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (11497)Termination reason: Refutation
% 0.19/0.59
% 0.19/0.59 % (11497)Memory used [KB]: 1023
% 0.19/0.59 % (11497)Time elapsed: 0.100 s
% 0.19/0.59 % (11497)Instructions burned: 8 (million)
% 0.19/0.59 % (11497)------------------------------
% 0.19/0.59 % (11497)------------------------------
% 0.19/0.59 % (11481)Success in time 0.235 s
%------------------------------------------------------------------------------