TSTP Solution File: SET803+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET803+4 : 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 : n001.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 18:25:41 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 12 unt; 0 def)
% Number of atoms : 144 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 143 ( 52 ~; 42 |; 26 &)
% ( 9 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 79 ( 66 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f68,f70,f92,f94,f102]) ).
fof(f102,plain,
~ spl5_4,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f101,plain,
( $false
| ~ spl5_4 ),
inference(trivial_inequality_removal,[],[f96]) ).
fof(f96,plain,
( sK2 != sK2
| ~ spl5_4 ),
inference(superposition,[],[f41,f86]) ).
fof(f86,plain,
( sK3 = sK2
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl5_4
<=> sK3 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f41,plain,
sK3 != sK2,
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
? [X0,X1] :
( ? [X2,X3] :
( X2 != X3
& max(X2,X0,X1)
& ? [X4] : greatest(X4,X0,X1)
& max(X3,X0,X1) )
& order(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X1,X0] :
( ? [X2,X3] :
( ? [X4] : greatest(X4,X0,X1)
& max(X2,X0,X1)
& X2 != X3
& max(X3,X0,X1) )
& order(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
~ ! [X1,X0] :
( order(X0,X1)
=> ! [X2,X3] :
( ( max(X2,X0,X1)
& X2 != X3
& max(X3,X0,X1) )
=> ~ ? [X4] : greatest(X4,X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( order(X0,X1)
=> ! [X7,X8] :
( ( max(X7,X0,X1)
& X7 != X8
& max(X8,X0,X1) )
=> ~ ? [X5] : greatest(X5,X0,X1) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X1] :
( order(X0,X1)
=> ! [X7,X8] :
( ( max(X7,X0,X1)
& X7 != X8
& max(X8,X0,X1) )
=> ~ ? [X5] : greatest(X5,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV15) ).
fof(f94,plain,
spl5_5,
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f93,plain,
( $false
| spl5_5 ),
inference(resolution,[],[f90,f47]) ).
fof(f47,plain,
member(sK2,sK1),
inference(resolution,[],[f35,f40]) ).
fof(f40,plain,
max(sK2,sK0,sK1),
inference(cnf_transformation,[],[f33]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ max(X2,X1,X0)
| member(X2,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ( member(X2,X0)
& ! [X3] :
( ~ apply(X1,X2,X3)
| ~ member(X3,X0)
| X2 = X3 ) )
| ~ max(X2,X1,X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0] :
( ( ! [X3] :
( X2 = X3
| ~ member(X3,X0)
| ~ apply(X1,X2,X3) )
& member(X2,X0) )
| ~ max(X2,X1,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( max(X2,X1,X0)
=> ( ! [X3] :
( ( member(X3,X0)
& apply(X1,X2,X3) )
=> X2 = X3 )
& member(X2,X0) ) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( max(X2,X1,X0)
<=> ( ! [X3] :
( ( member(X3,X0)
& apply(X1,X2,X3) )
=> X2 = X3 )
& member(X2,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0,X5] :
( max(X5,X0,X1)
<=> ( ! [X2] :
( ( member(X2,X1)
& apply(X0,X5,X2) )
=> X2 = X5 )
& member(X5,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max) ).
fof(f90,plain,
( ~ member(sK2,sK1)
| spl5_5 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl5_5
<=> member(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f92,plain,
( ~ spl5_5
| spl5_4
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f79,f63,f59,f84,f88]) ).
fof(f59,plain,
( spl5_2
<=> member(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f63,plain,
( spl5_3
<=> sK4 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f79,plain,
( ~ member(sK3,sK1)
| sK3 = sK2
| ~ member(sK2,sK1)
| ~ spl5_3 ),
inference(resolution,[],[f51,f71]) ).
fof(f71,plain,
( ! [X0] :
( apply(sK0,X0,sK3)
| ~ member(X0,sK1) )
| ~ spl5_3 ),
inference(superposition,[],[f49,f65]) ).
fof(f65,plain,
( sK4 = sK3
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f49,plain,
! [X0] :
( apply(sK0,X0,sK4)
| ~ member(X0,sK1) ),
inference(resolution,[],[f36,f39]) ).
fof(f39,plain,
greatest(sK4,sK0,sK1),
inference(cnf_transformation,[],[f33]) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ greatest(X0,X2,X1)
| ~ member(X3,X1)
| apply(X2,X3,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( ( member(X0,X1)
& ! [X3] :
( ~ member(X3,X1)
| apply(X2,X3,X0) ) )
| ~ greatest(X0,X2,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( greatest(X0,X2,X1)
=> ( member(X0,X1)
& ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X0) ) ) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ( member(X0,X1)
& ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X0) ) )
<=> greatest(X0,X2,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X1,X0] :
( greatest(X5,X0,X1)
<=> ( ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X5) )
& member(X5,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greatest) ).
fof(f51,plain,
! [X1] :
( ~ apply(sK0,sK2,X1)
| ~ member(X1,sK1)
| sK2 = X1 ),
inference(resolution,[],[f34,f40]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( ~ max(X2,X1,X0)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f70,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| spl5_2 ),
inference(resolution,[],[f61,f46]) ).
fof(f46,plain,
member(sK3,sK1),
inference(resolution,[],[f35,f38]) ).
fof(f38,plain,
max(sK3,sK0,sK1),
inference(cnf_transformation,[],[f33]) ).
fof(f61,plain,
( ~ member(sK3,sK1)
| spl5_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f68,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| spl5_1 ),
inference(resolution,[],[f57,f48]) ).
fof(f48,plain,
member(sK4,sK1),
inference(resolution,[],[f37,f39]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ greatest(X0,X2,X1)
| member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f57,plain,
( ~ member(sK4,sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl5_1
<=> member(sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f66,plain,
( ~ spl5_1
| ~ spl5_2
| spl5_3 ),
inference(avatar_split_clause,[],[f52,f63,f59,f55]) ).
fof(f52,plain,
( sK4 = sK3
| ~ member(sK3,sK1)
| ~ member(sK4,sK1) ),
inference(resolution,[],[f50,f49]) ).
fof(f50,plain,
! [X0] :
( ~ apply(sK0,sK3,X0)
| ~ member(X0,sK1)
| sK3 = X0 ),
inference(resolution,[],[f34,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % 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 : n001.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 14:42:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (25426)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)
% 0.19/0.50 % (25418)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)
% 0.19/0.50 % (25426)First to succeed.
% 0.19/0.50 % (25419)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (25427)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (25420)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)
% 0.19/0.51 % (25414)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)
% 0.19/0.51 % (25430)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)
% 0.19/0.51 % (25438)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)
% 0.19/0.51 % (25444)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 % (25426)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (25426)------------------------------
% 0.19/0.51 % (25426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (25426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25426)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (25426)Memory used [KB]: 5500
% 0.19/0.51 % (25426)Time elapsed: 0.107 s
% 0.19/0.51 % (25426)Instructions burned: 2 (million)
% 0.19/0.51 % (25426)------------------------------
% 0.19/0.51 % (25426)------------------------------
% 0.19/0.51 % (25411)Success in time 0.163 s
%------------------------------------------------------------------------------