TSTP Solution File: SYO633-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% 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 19:51:49 EDT 2022
% Result : Unsatisfiable 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 17
% Syntax : Number of formulae : 49 ( 5 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 153 ( 74 ~; 69 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 12 ( 11 usr; 11 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f37,f42,f47,f52,f54,f56,f58,f60,f62,f64]) ).
fof(f64,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f63,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f36,f51]) ).
fof(f51,plain,
( ! [X6] : ~ 'E'(f(X6),'0')
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_10
<=> ! [X6] : ~ 'E'(f(X6),'0') ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f36,plain,
( ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0')
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_7
<=> ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0') ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f62,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f61,plain,
( $false
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f46,f16]) ).
fof(f16,plain,
( ! [X4] : ~ 'E'(f(X4),s(s('0')))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f15,plain,
( spl0_1
<=> ! [X4] : ~ 'E'(f(X4),s(s('0'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f46,plain,
( ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_9
<=> ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f60,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f22,f33]) ).
fof(f33,plain,
( ! [X5] : ~ 'E'(f(X5),s('0'))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_6
<=> ! [X5] : ~ 'E'(f(X5),s('0')) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f22,plain,
( ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0'))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_3
<=> ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0')) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f58,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f19,f5]) ).
fof(f5,axiom,
! [X7] : 'E'(f(X7),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_05) ).
fof(f19,plain,
( ! [X1] : ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl0_2
<=> ! [X1] : ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f56,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f55,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f25,f41]) ).
fof(f41,plain,
( ! [X1] : 'E'(f(X1),s(s(s('0'))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_8
<=> ! [X1] : 'E'(f(X1),s(s(s('0')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f25,plain,
( ! [X2] : ~ 'E'(f(X2),s(s(s('0'))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl0_4
<=> ! [X2] : ~ 'E'(f(X2),s(s(s('0')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f54,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f53,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f28,f4]) ).
fof(f4,axiom,
! [X1] : 'E'(f(X1),s(s(s(s('0'))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).
fof(f28,plain,
( ! [X0] : ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl0_5
<=> ! [X0] : ~ 'E'(f(X0),s(s(s(s('0'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f52,plain,
( spl0_1
| spl0_10
| spl0_5
| spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f48,f32,f24,f27,f50,f15]) ).
fof(f48,plain,
! [X2,X0,X6,X4,X5] :
( ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X6),'0')
| ~ 'E'(f(X4),s(s('0'))) ),
inference(subsumption_resolution,[],[f3,f5]) ).
fof(f3,axiom,
! [X2,X0,X1,X6,X4,X5] :
( ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X6),'0')
| ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5_03) ).
fof(f47,plain,
( spl0_9
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f43,f27,f24,f45]) ).
fof(f43,plain,
! [X2,X3,X0] :
( ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))) ),
inference(subsumption_resolution,[],[f12,f5]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4_12) ).
fof(f42,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f38,f27,f40]) ).
fof(f38,plain,
! [X0,X1] :
( ~ 'E'(f(X0),s(s(s(s('0')))))
| 'E'(f(X1),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f10,f5]) ).
fof(f10,axiom,
! [X0,X1] :
( 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_10) ).
fof(f37,plain,
( spl0_6
| spl0_4
| spl0_5
| spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f30,f15,f35,f27,f24,f32]) ).
fof(f30,plain,
! [X2,X3,X0,X4,X5] :
( ~ 'E'(f(X4),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0')
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X5),s('0')) ),
inference(subsumption_resolution,[],[f7,f5]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0')
| ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_07) ).
fof(f29,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f9,f27,f24,f21,f18,f15]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0'))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X4),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_09) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n025.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 23:17:45 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.46 % (23309)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)
% 0.15/0.46 % (23301)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.46 % (23300)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)
% 0.15/0.47 % (23322)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.47 % (23306)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.47 % (23306)First to succeed.
% 0.15/0.47 % (23317)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)
% 0.15/0.47 % (23316)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)
% 0.15/0.47 % (23314)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)
% 0.15/0.47 % (23308)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)
% 0.15/0.48 % (23306)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (23306)------------------------------
% 0.15/0.48 % (23306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (23306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (23306)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (23306)Memory used [KB]: 5373
% 0.15/0.48 % (23306)Time elapsed: 0.103 s
% 0.15/0.48 % (23306)Instructions burned: 1 (million)
% 0.15/0.48 % (23306)------------------------------
% 0.15/0.48 % (23306)------------------------------
% 0.15/0.48 % (23293)Success in time 0.164 s
%------------------------------------------------------------------------------