TSTP Solution File: SEU267+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU267+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_uns --cores 0 -t %d %s
% Computer : n012.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 18:28:10 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 5 unt; 0 def)
% Number of atoms : 127 ( 114 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 149 ( 61 ~; 51 |; 18 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 132 ( 106 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f98,f100]) ).
fof(f100,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f99,plain,
( $false
| spl8_2 ),
inference(subsumption_resolution,[],[f71,f74]) ).
fof(f74,plain,
! [X0,X1] : pair_first(ordered_pair(X0,X1)) = X0,
inference(equality_resolution,[],[f57]) ).
fof(f57,plain,
! [X2,X1,X4,X5] :
( ordered_pair(X2,X1) != ordered_pair(X4,X5)
| pair_first(ordered_pair(X2,X1)) = X4 ),
inference(equality_resolution,[],[f56]) ).
fof(f56,plain,
! [X2,X3,X1,X4,X5] :
( X3 = X4
| ordered_pair(X2,X1) != ordered_pair(X4,X5)
| pair_first(ordered_pair(X2,X1)) != X3 ),
inference(equality_resolution,[],[f49]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4,X5] :
( ordered_pair(X2,X1) != X0
| X3 = X4
| ordered_pair(X4,X5) != X0
| pair_first(X0) != X3 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1,X2] : ordered_pair(X2,X1) != X0
| ! [X3] :
( ( ! [X4,X5] :
( X3 = X4
| ordered_pair(X4,X5) != X0 )
| pair_first(X0) != X3 )
& ( pair_first(X0) = X3
| ( sK3(X0,X3) != X3
& ordered_pair(sK3(X0,X3),sK4(X0,X3)) = X0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f35,f36]) ).
fof(f36,plain,
! [X0,X3] :
( ? [X6,X7] :
( X3 != X6
& ordered_pair(X6,X7) = X0 )
=> ( sK3(X0,X3) != X3
& ordered_pair(sK3(X0,X3),sK4(X0,X3)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ! [X1,X2] : ordered_pair(X2,X1) != X0
| ! [X3] :
( ( ! [X4,X5] :
( X3 = X4
| ordered_pair(X4,X5) != X0 )
| pair_first(X0) != X3 )
& ( pair_first(X0) = X3
| ? [X6,X7] :
( X3 != X6
& ordered_pair(X6,X7) = X0 ) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ! [X1,X2] : ordered_pair(X2,X1) != X0
| ! [X3] :
( ( ! [X4,X5] :
( X3 = X4
| ordered_pair(X4,X5) != X0 )
| pair_first(X0) != X3 )
& ( pair_first(X0) = X3
| ? [X4,X5] :
( X3 != X4
& ordered_pair(X4,X5) = X0 ) ) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ! [X1,X2] : ordered_pair(X2,X1) != X0
| ! [X3] :
( ! [X4,X5] :
( X3 = X4
| ordered_pair(X4,X5) != X0 )
<=> pair_first(X0) = X3 ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ? [X1,X2] : ordered_pair(X2,X1) = X0
=> ! [X3] :
( pair_first(X0) = X3
<=> ! [X4,X5] :
( ordered_pair(X4,X5) = X0
=> X3 = X4 ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ? [X2,X1] : ordered_pair(X1,X2) = X0
=> ! [X1] :
( ! [X2,X3] :
( ordered_pair(X2,X3) = X0
=> X1 = X2 )
<=> pair_first(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_mcart_1) ).
fof(f71,plain,
( sK1 != pair_first(ordered_pair(sK1,sK0))
| spl8_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl8_2
<=> sK1 = pair_first(ordered_pair(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f98,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| spl8_1 ),
inference(unit_resulting_resolution,[],[f67,f87]) ).
fof(f87,plain,
! [X0,X1] : pair_second(ordered_pair(X0,X1)) = X1,
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X6,X7,X4,X5] :
( ordered_pair(X7,X6) != ordered_pair(X4,X5)
| pair_second(ordered_pair(X4,X5)) = X5 ),
inference(equality_resolution,[],[f62]) ).
fof(f62,plain,
! [X1,X6,X7,X4,X5] :
( X1 = X5
| pair_second(ordered_pair(X4,X5)) != X1
| ordered_pair(X7,X6) != ordered_pair(X4,X5) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X6,X7,X4,X5] :
( X1 = X5
| ordered_pair(X4,X5) != X0
| pair_second(X0) != X1
| ordered_pair(X7,X6) != X0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( pair_second(X0) = X1
| ( sK7(X0,X1) != X1
& ordered_pair(sK6(X0,X1),sK7(X0,X1)) = X0 ) )
& ( ! [X4,X5] :
( X1 = X5
| ordered_pair(X4,X5) != X0 )
| pair_second(X0) != X1 ) )
| ! [X6,X7] : ordered_pair(X7,X6) != X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f42,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X2,X3] :
( X1 != X3
& ordered_pair(X2,X3) = X0 )
=> ( sK7(X0,X1) != X1
& ordered_pair(sK6(X0,X1),sK7(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( pair_second(X0) = X1
| ? [X2,X3] :
( X1 != X3
& ordered_pair(X2,X3) = X0 ) )
& ( ! [X4,X5] :
( X1 = X5
| ordered_pair(X4,X5) != X0 )
| pair_second(X0) != X1 ) )
| ! [X6,X7] : ordered_pair(X7,X6) != X0 ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X3] :
( ( pair_second(X0) = X3
| ? [X4,X5] :
( X3 != X5
& ordered_pair(X4,X5) = X0 ) )
& ( ! [X4,X5] :
( X3 = X5
| ordered_pair(X4,X5) != X0 )
| pair_second(X0) != X3 ) )
| ! [X1,X2] : ordered_pair(X2,X1) != X0 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X3] :
( pair_second(X0) = X3
<=> ! [X4,X5] :
( X3 = X5
| ordered_pair(X4,X5) != X0 ) )
| ! [X1,X2] : ordered_pair(X2,X1) != X0 ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ? [X2,X1] : ordered_pair(X2,X1) = X0
=> ! [X3] :
( ! [X5,X4] :
( ordered_pair(X4,X5) = X0
=> X3 = X5 )
<=> pair_second(X0) = X3 ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ? [X2,X1] : ordered_pair(X1,X2) = X0
=> ! [X1] :
( pair_second(X0) = X1
<=> ! [X2,X3] :
( ordered_pair(X2,X3) = X0
=> X1 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_mcart_1) ).
fof(f67,plain,
( sK0 != pair_second(ordered_pair(sK1,sK0))
| spl8_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl8_1
<=> sK0 = pair_second(ordered_pair(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f72,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f45,f69,f65]) ).
fof(f45,plain,
( sK1 != pair_first(ordered_pair(sK1,sK0))
| sK0 != pair_second(ordered_pair(sK1,sK0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( sK1 != pair_first(ordered_pair(sK1,sK0))
| sK0 != pair_second(ordered_pair(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f29,f30]) ).
fof(f30,plain,
( ? [X0,X1] :
( pair_first(ordered_pair(X1,X0)) != X1
| pair_second(ordered_pair(X1,X0)) != X0 )
=> ( sK1 != pair_first(ordered_pair(sK1,sK0))
| sK0 != pair_second(ordered_pair(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0,X1] :
( pair_first(ordered_pair(X1,X0)) != X1
| pair_second(ordered_pair(X1,X0)) != X0 ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
? [X1,X0] :
( pair_first(ordered_pair(X0,X1)) != X0
| pair_second(ordered_pair(X0,X1)) != X1 ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( pair_second(ordered_pair(X0,X1)) = X1
& pair_first(ordered_pair(X0,X1)) = X0 ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0,X1] :
( pair_second(ordered_pair(X0,X1)) = X1
& pair_first(ordered_pair(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_mcart_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU267+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n012.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 15:00:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (26415)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (26402)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (26407)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (26399)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)
% 0.19/0.56 % (26406)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.56 % (26415)Refutation not found, incomplete strategy% (26415)------------------------------
% 0.19/0.56 % (26415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (26407)Instruction limit reached!
% 0.19/0.56 % (26407)------------------------------
% 0.19/0.56 % (26407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (26399)Refutation not found, incomplete strategy% (26399)------------------------------
% 0.19/0.56 % (26399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (26407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (26407)Termination reason: Unknown
% 0.19/0.56 % (26407)Termination phase: shuffling
% 0.19/0.56
% 0.19/0.56 % (26407)Memory used [KB]: 1407
% 0.19/0.56 % (26407)Time elapsed: 0.005 s
% 0.19/0.56 % (26407)Instructions burned: 2 (million)
% 0.19/0.56 % (26407)------------------------------
% 0.19/0.56 % (26407)------------------------------
% 0.19/0.56 % (26399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (26399)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (26399)Memory used [KB]: 5884
% 0.19/0.56 % (26399)Time elapsed: 0.140 s
% 0.19/0.56 % (26399)Instructions burned: 2 (million)
% 0.19/0.56 % (26399)------------------------------
% 0.19/0.56 % (26399)------------------------------
% 0.19/0.56 % (26392)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)
% 0.19/0.56 % (26398)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.56 % (26415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (26415)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (26415)Memory used [KB]: 6012
% 0.19/0.56 % (26415)Time elapsed: 0.141 s
% 0.19/0.56 % (26415)Instructions burned: 2 (million)
% 0.19/0.56 % (26415)------------------------------
% 0.19/0.56 % (26415)------------------------------
% 0.19/0.56 % (26390)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.56 % (26401)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)
% 0.19/0.56 % (26403)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)
% 0.19/0.56 % (26390)Refutation not found, incomplete strategy% (26390)------------------------------
% 0.19/0.56 % (26390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (26390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (26390)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (26390)Memory used [KB]: 5884
% 0.19/0.56 % (26390)Time elapsed: 0.141 s
% 0.19/0.56 % (26390)Instructions burned: 2 (million)
% 0.19/0.56 % (26390)------------------------------
% 0.19/0.56 % (26390)------------------------------
% 0.19/0.57 % (26401)Refutation not found, incomplete strategy% (26401)------------------------------
% 0.19/0.57 % (26401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (26401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (26401)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (26401)Memory used [KB]: 1407
% 0.19/0.57 % (26401)Time elapsed: 0.142 s
% 0.19/0.57 % (26401)Instructions burned: 2 (million)
% 0.19/0.57 % (26401)------------------------------
% 0.19/0.57 % (26401)------------------------------
% 0.19/0.57 % (26404)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)
% 0.19/0.58 % (26391)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)
% 0.19/0.58 % (26391)Refutation not found, incomplete strategy% (26391)------------------------------
% 0.19/0.58 % (26391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (26391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (26391)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.58
% 0.19/0.58 % (26391)Memory used [KB]: 5884
% 0.19/0.58 % (26391)Time elapsed: 0.159 s
% 0.19/0.58 % (26391)Instructions burned: 2 (million)
% 0.19/0.58 % (26391)------------------------------
% 0.19/0.58 % (26391)------------------------------
% 0.19/0.58 % (26402)First to succeed.
% 0.19/0.58 % (26394)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.58 % (26414)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.58 % (26402)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Theorem for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (26402)------------------------------
% 0.19/0.58 % (26402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (26402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (26402)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (26402)Memory used [KB]: 6012
% 0.19/0.58 % (26402)Time elapsed: 0.164 s
% 0.19/0.58 % (26402)Instructions burned: 4 (million)
% 0.19/0.58 % (26402)------------------------------
% 0.19/0.58 % (26402)------------------------------
% 0.19/0.58 % (26388)Success in time 0.226 s
%------------------------------------------------------------------------------