TSTP Solution File: SEU162+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU162+3 : 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_uns --cores 0 -t %d %s
% Computer : n019.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 18:27:00 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 3 unt; 0 def)
% Number of atoms : 121 ( 29 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 121 ( 54 ~; 47 |; 8 &)
% ( 7 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 41 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f52,f81,f88,f93]) ).
fof(f93,plain,
( ~ spl6_2
| ~ spl6_3 ),
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| ~ spl6_2
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f91,f49]) ).
fof(f49,plain,
( in(sK1,sK0)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl6_2
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f91,plain,
( ~ in(sK1,sK0)
| ~ spl6_3 ),
inference(resolution,[],[f84,f55]) ).
fof(f55,plain,
! [X0] :
( ~ disjoint(X0,sF4)
| ~ in(sK1,X0) ),
inference(resolution,[],[f54,f29]) ).
fof(f29,plain,
! [X0,X1] :
( disjoint(X0,X1)
| ~ disjoint(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ disjoint(X1,X0)
| disjoint(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( disjoint(X1,X0)
=> disjoint(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f54,plain,
! [X0] :
( ~ disjoint(sF4,X0)
| ~ in(sK1,X0) ),
inference(superposition,[],[f34,f39]) ).
fof(f39,plain,
sF4 = singleton(sK1),
introduced(function_definition,[]) ).
fof(f34,plain,
! [X0,X1] :
( ~ disjoint(singleton(X1),X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ disjoint(singleton(X1),X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
~ ( in(X1,X0)
& disjoint(singleton(X1),X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_zfmisc_1) ).
fof(f84,plain,
( disjoint(sK0,sF4)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl6_3
<=> disjoint(sK0,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f88,plain,
( spl6_3
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f76,f44,f83]) ).
fof(f44,plain,
( spl6_1
<=> sK0 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f76,plain,
( sK0 != sF5
| disjoint(sK0,sF4) ),
inference(superposition,[],[f33,f40]) ).
fof(f40,plain,
sF5 = set_difference(sK0,sF4),
introduced(function_definition,[]) ).
fof(f33,plain,
! [X0,X1] :
( set_difference(X0,X1) != X0
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_difference(X0,X1) != X0 )
& ( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(f81,plain,
( spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f80,plain,
( $false
| spl6_1
| spl6_2 ),
inference(subsumption_resolution,[],[f79,f50]) ).
fof(f50,plain,
( ~ in(sK1,sK0)
| spl6_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f79,plain,
( in(sK1,sK0)
| spl6_1 ),
inference(resolution,[],[f75,f59]) ).
fof(f59,plain,
! [X0] :
( disjoint(sF4,X0)
| in(sK1,X0) ),
inference(superposition,[],[f38,f39]) ).
fof(f38,plain,
! [X0,X1] :
( disjoint(singleton(X1),X0)
| in(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( disjoint(singleton(X1),X0)
| in(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(f75,plain,
( ~ disjoint(sF4,sK0)
| spl6_1 ),
inference(resolution,[],[f73,f29]) ).
fof(f73,plain,
( ~ disjoint(sK0,sF4)
| spl6_1 ),
inference(subsumption_resolution,[],[f72,f45]) ).
fof(f45,plain,
( sK0 != sF5
| spl6_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f72,plain,
( sK0 = sF5
| ~ disjoint(sK0,sF4) ),
inference(superposition,[],[f40,f32]) ).
fof(f32,plain,
! [X0,X1] :
( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f41,f48,f44]) ).
fof(f41,plain,
( in(sK1,sK0)
| sK0 != sF5 ),
inference(definition_folding,[],[f31,f40,f39]) ).
fof(f31,plain,
( sK0 != set_difference(sK0,singleton(sK1))
| in(sK1,sK0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( sK0 != set_difference(sK0,singleton(sK1))
| in(sK1,sK0) )
& ( sK0 = set_difference(sK0,singleton(sK1))
| ~ in(sK1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f19,f20]) ).
fof(f20,plain,
( ? [X0,X1] :
( ( set_difference(X0,singleton(X1)) != X0
| in(X1,X0) )
& ( set_difference(X0,singleton(X1)) = X0
| ~ in(X1,X0) ) )
=> ( ( sK0 != set_difference(sK0,singleton(sK1))
| in(sK1,sK0) )
& ( sK0 = set_difference(sK0,singleton(sK1))
| ~ in(sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1] :
( ( set_difference(X0,singleton(X1)) != X0
| in(X1,X0) )
& ( set_difference(X0,singleton(X1)) = X0
| ~ in(X1,X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
? [X1,X0] :
( ( set_difference(X1,singleton(X0)) != X1
| in(X0,X1) )
& ( set_difference(X1,singleton(X0)) = X1
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
? [X1,X0] :
( ~ in(X0,X1)
<~> set_difference(X1,singleton(X0)) = X1 ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X1] :
( set_difference(X1,singleton(X0)) = X1
<=> ~ in(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X1,X0] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X1,X0] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f51,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f42,f48,f44]) ).
fof(f42,plain,
( ~ in(sK1,sK0)
| sK0 = sF5 ),
inference(definition_folding,[],[f30,f40,f39]) ).
fof(f30,plain,
( sK0 = set_difference(sK0,singleton(sK1))
| ~ in(sK1,sK0) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU162+3 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:47:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (12880)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (12894)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)
% 0.20/0.52 % (12900)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52 % (12881)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)
% 0.20/0.52 % (12902)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (12881)Refutation not found, incomplete strategy% (12881)------------------------------
% 0.20/0.52 % (12881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12881)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (12881)Memory used [KB]: 5884
% 0.20/0.52 % (12881)Time elapsed: 0.113 s
% 0.20/0.52 % (12881)Instructions burned: 1 (million)
% 0.20/0.52 % (12881)------------------------------
% 0.20/0.52 % (12881)------------------------------
% 0.20/0.53 % (12908)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (12880)First to succeed.
% 0.20/0.53 % (12880)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (12880)------------------------------
% 0.20/0.53 % (12880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12880)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (12880)Memory used [KB]: 6012
% 0.20/0.53 % (12880)Time elapsed: 0.111 s
% 0.20/0.53 % (12880)Instructions burned: 2 (million)
% 0.20/0.53 % (12880)------------------------------
% 0.20/0.53 % (12880)------------------------------
% 0.20/0.53 % (12879)Success in time 0.172 s
%------------------------------------------------------------------------------