TSTP Solution File: SEU094+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n026.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 18:31:55 EDT 2022
% Result : Theorem 1.51s 0.55s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 76 ( 5 unt; 0 def)
% Number of atoms : 244 ( 1 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 276 ( 108 ~; 116 |; 32 &)
% ( 8 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 61 ( 47 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f688,plain,
$false,
inference(avatar_sat_refutation,[],[f339,f343,f348,f349,f522,f546,f687]) ).
fof(f687,plain,
( ~ spl30_1
| spl30_2
| ~ spl30_4 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl30_1
| spl30_2
| ~ spl30_4 ),
inference(subsumption_resolution,[],[f685,f334]) ).
fof(f334,plain,
( ~ finite(sF29)
| spl30_2 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl30_2
<=> finite(sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).
fof(f685,plain,
( finite(sF29)
| ~ spl30_1
| spl30_2
| ~ spl30_4 ),
inference(forward_demodulation,[],[f684,f322]) ).
fof(f322,plain,
sF29 = union(sK13),
introduced(function_definition,[]) ).
fof(f684,plain,
( finite(union(sK13))
| ~ spl30_1
| spl30_2
| ~ spl30_4 ),
inference(subsumption_resolution,[],[f683,f329]) ).
fof(f329,plain,
( finite(sK13)
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f328,plain,
( spl30_1
<=> finite(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).
fof(f683,plain,
( finite(union(sK13))
| ~ finite(sK13)
| ~ spl30_1
| spl30_2
| ~ spl30_4 ),
inference(resolution,[],[f647,f294]) ).
fof(f294,plain,
! [X0] :
( ~ finite(sK23(X0))
| finite(union(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( in(sK23(X0),X0)
& ~ finite(sK23(X0)) )
| ~ finite(X0)
| finite(union(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f106,f178]) ).
fof(f178,plain,
! [X0] :
( ? [X1] :
( in(X1,X0)
& ~ finite(X1) )
=> ( in(sK23(X0),X0)
& ~ finite(sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0] :
( ? [X1] :
( in(X1,X0)
& ~ finite(X1) )
| ~ finite(X0)
| finite(union(X0)) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( finite(union(X0))
| ? [X1] :
( in(X1,X0)
& ~ finite(X1) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( ! [X1] :
( in(X1,X0)
=> finite(X1) )
& finite(X0) )
=> finite(union(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l22_finset_1) ).
fof(f647,plain,
( finite(sK23(sK13))
| ~ spl30_1
| spl30_2
| ~ spl30_4 ),
inference(subsumption_resolution,[],[f646,f334]) ).
fof(f646,plain,
( finite(sF29)
| finite(sK23(sK13))
| ~ spl30_1
| ~ spl30_4 ),
inference(forward_demodulation,[],[f645,f322]) ).
fof(f645,plain,
( finite(sK23(sK13))
| finite(union(sK13))
| ~ spl30_1
| ~ spl30_4 ),
inference(subsumption_resolution,[],[f640,f329]) ).
fof(f640,plain,
( ~ finite(sK13)
| finite(sK23(sK13))
| finite(union(sK13))
| ~ spl30_4 ),
inference(resolution,[],[f295,f342]) ).
fof(f342,plain,
( ! [X2] :
( ~ in(X2,sK13)
| finite(X2) )
| ~ spl30_4 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl30_4
<=> ! [X2] :
( ~ in(X2,sK13)
| finite(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_4])]) ).
fof(f295,plain,
! [X0] :
( in(sK23(X0),X0)
| finite(union(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f546,plain,
( ~ spl30_2
| spl30_3
| ~ spl30_5 ),
inference(avatar_split_clause,[],[f543,f345,f336,f332]) ).
fof(f336,plain,
( spl30_3
<=> finite(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_3])]) ).
fof(f345,plain,
( spl30_5
<=> in(sK14,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_5])]) ).
fof(f543,plain,
( ~ finite(sF29)
| spl30_3
| ~ spl30_5 ),
inference(subsumption_resolution,[],[f542,f338]) ).
fof(f338,plain,
( ~ finite(sK14)
| spl30_3 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f542,plain,
( finite(sK14)
| ~ finite(sF29)
| ~ spl30_5 ),
inference(resolution,[],[f523,f219]) ).
fof(f219,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ finite(X0)
| finite(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( finite(X1)
| ~ finite(X0)
| ~ subset(X1,X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X1,X0] :
( finite(X1)
| ~ subset(X1,X0)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ( subset(X1,X0)
& finite(X0) )
=> finite(X1) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X1,X0] :
( ( finite(X1)
& subset(X0,X1) )
=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f523,plain,
( subset(sK14,sF29)
| ~ spl30_5 ),
inference(resolution,[],[f347,f514]) ).
fof(f514,plain,
! [X0] :
( ~ in(X0,sK13)
| subset(X0,sF29) ),
inference(superposition,[],[f193,f322]) ).
fof(f193,plain,
! [X0,X1] :
( subset(X1,union(X0))
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ in(X1,X0)
| subset(X1,union(X0)) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( in(X1,X0)
=> subset(X1,union(X0)) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X1,X0] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(f347,plain,
( in(sK14,sK13)
| ~ spl30_5 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f522,plain,
( spl30_1
| ~ spl30_2 ),
inference(avatar_contradiction_clause,[],[f521]) ).
fof(f521,plain,
( $false
| spl30_1
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f520,f333]) ).
fof(f333,plain,
( finite(sF29)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f520,plain,
( ~ finite(sF29)
| spl30_1 ),
inference(resolution,[],[f519,f287]) ).
fof(f287,plain,
! [X0] :
( finite(powerset(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( finite(powerset(X0))
| ~ finite(X0) )
& ( finite(X0)
| ~ finite(powerset(X0)) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( finite(powerset(X0))
<=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_finset_1) ).
fof(f519,plain,
( ~ finite(powerset(sF29))
| spl30_1 ),
inference(subsumption_resolution,[],[f518,f330]) ).
fof(f330,plain,
( ~ finite(sK13)
| spl30_1 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f518,plain,
( ~ finite(powerset(sF29))
| finite(sK13) ),
inference(resolution,[],[f219,f499]) ).
fof(f499,plain,
subset(sK13,powerset(sF29)),
inference(superposition,[],[f299,f322]) ).
fof(f299,plain,
! [X0] : subset(X0,powerset(union(X0))),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] : subset(X0,powerset(union(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_zfmisc_1) ).
fof(f349,plain,
( spl30_2
| spl30_1 ),
inference(avatar_split_clause,[],[f326,f328,f332]) ).
fof(f326,plain,
( finite(sK13)
| finite(sF29) ),
inference(definition_folding,[],[f255,f322]) ).
fof(f255,plain,
( finite(sK13)
| finite(union(sK13)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( ( in(sK14,sK13)
& ~ finite(sK14) )
| ~ finite(sK13)
| ~ finite(union(sK13)) )
& ( ( ! [X2] :
( ~ in(X2,sK13)
| finite(X2) )
& finite(sK13) )
| finite(union(sK13)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f154,f156,f155]) ).
fof(f155,plain,
( ? [X0] :
( ( ? [X1] :
( in(X1,X0)
& ~ finite(X1) )
| ~ finite(X0)
| ~ finite(union(X0)) )
& ( ( ! [X2] :
( ~ in(X2,X0)
| finite(X2) )
& finite(X0) )
| finite(union(X0)) ) )
=> ( ( ? [X1] :
( in(X1,sK13)
& ~ finite(X1) )
| ~ finite(sK13)
| ~ finite(union(sK13)) )
& ( ( ! [X2] :
( ~ in(X2,sK13)
| finite(X2) )
& finite(sK13) )
| finite(union(sK13)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ? [X1] :
( in(X1,sK13)
& ~ finite(X1) )
=> ( in(sK14,sK13)
& ~ finite(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
? [X0] :
( ( ? [X1] :
( in(X1,X0)
& ~ finite(X1) )
| ~ finite(X0)
| ~ finite(union(X0)) )
& ( ( ! [X2] :
( ~ in(X2,X0)
| finite(X2) )
& finite(X0) )
| finite(union(X0)) ) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
? [X0] :
( ( ? [X1] :
( in(X1,X0)
& ~ finite(X1) )
| ~ finite(X0)
| ~ finite(union(X0)) )
& ( ( ! [X1] :
( ~ in(X1,X0)
| finite(X1) )
& finite(X0) )
| finite(union(X0)) ) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
? [X0] :
( ( ? [X1] :
( in(X1,X0)
& ~ finite(X1) )
| ~ finite(X0)
| ~ finite(union(X0)) )
& ( ( ! [X1] :
( ~ in(X1,X0)
| finite(X1) )
& finite(X0) )
| finite(union(X0)) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
? [X0] :
( finite(union(X0))
<~> ( ! [X1] :
( ~ in(X1,X0)
| finite(X1) )
& finite(X0) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,negated_conjecture,
~ ! [X0] :
( finite(union(X0))
<=> ( ! [X1] :
( in(X1,X0)
=> finite(X1) )
& finite(X0) ) ),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
! [X0] :
( finite(union(X0))
<=> ( ! [X1] :
( in(X1,X0)
=> finite(X1) )
& finite(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_finset_1) ).
fof(f348,plain,
( spl30_5
| ~ spl30_1
| ~ spl30_2 ),
inference(avatar_split_clause,[],[f323,f332,f328,f345]) ).
fof(f323,plain,
( ~ finite(sF29)
| ~ finite(sK13)
| in(sK14,sK13) ),
inference(definition_folding,[],[f258,f322]) ).
fof(f258,plain,
( in(sK14,sK13)
| ~ finite(sK13)
| ~ finite(union(sK13)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f343,plain,
( spl30_2
| spl30_4 ),
inference(avatar_split_clause,[],[f325,f341,f332]) ).
fof(f325,plain,
! [X2] :
( ~ in(X2,sK13)
| finite(sF29)
| finite(X2) ),
inference(definition_folding,[],[f256,f322]) ).
fof(f256,plain,
! [X2] :
( ~ in(X2,sK13)
| finite(X2)
| finite(union(sK13)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f339,plain,
( ~ spl30_1
| ~ spl30_2
| ~ spl30_3 ),
inference(avatar_split_clause,[],[f324,f336,f332,f328]) ).
fof(f324,plain,
( ~ finite(sK14)
| ~ finite(sF29)
| ~ finite(sK13) ),
inference(definition_folding,[],[f257,f322]) ).
fof(f257,plain,
( ~ finite(sK14)
| ~ finite(sK13)
| ~ finite(union(sK13)) ),
inference(cnf_transformation,[],[f157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:51:36 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.21/0.50 % (8387)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)
% 0.21/0.51 % (8386)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 % (8395)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (8403)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.52 % (8410)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.28/0.52 % (8382)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)
% 1.28/0.53 % (8395)First to succeed.
% 1.28/0.53 % (8384)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)
% 1.28/0.53 % (8404)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)
% 1.28/0.53 % (8385)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)
% 1.28/0.53 % (8396)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)
% 1.28/0.53 % (8408)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)
% 1.28/0.53 % (8389)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.28/0.54 % (8383)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)
% 1.28/0.54 % (8400)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.28/0.54 % (8401)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)
% 1.28/0.54 % (8397)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)
% 1.28/0.54 TRYING [1]
% 1.28/0.54 % (8388)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)
% 1.28/0.54 TRYING [2]
% 1.28/0.54 % (8402)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)
% 1.28/0.54 TRYING [3]
% 1.28/0.54 TRYING [4]
% 1.28/0.54 % (8407)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.28/0.54 % (8411)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)
% 1.51/0.55 % (8394)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.55 % (8390)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.51/0.55 % (8395)Refutation found. Thanks to Tanya!
% 1.51/0.55 % SZS status Theorem for theBenchmark
% 1.51/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.55 % (8395)------------------------------
% 1.51/0.55 % (8395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (8395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (8395)Termination reason: Refutation
% 1.51/0.55
% 1.51/0.55 % (8395)Memory used [KB]: 5628
% 1.51/0.55 % (8395)Time elapsed: 0.121 s
% 1.51/0.55 % (8395)Instructions burned: 11 (million)
% 1.51/0.55 % (8395)------------------------------
% 1.51/0.55 % (8395)------------------------------
% 1.51/0.55 % (8381)Success in time 0.195 s
%------------------------------------------------------------------------------