TSTP Solution File: SET002-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET002-1 : TPTP v8.1.0. Released v1.0.0.
% 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 18:18:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 4 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 33 ~; 38 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f102,plain,
$false,
inference(avatar_sat_refutation,[],[f61,f65,f87,f100,f101]) ).
fof(f101,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f90,f54,f22,f58]) ).
fof(f58,plain,
( spl0_5
<=> equal_sets(aUa,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f22,plain,
( spl0_1
<=> member(member_of_1_not_of_2(a,aUa),aUa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f54,plain,
( spl0_4
<=> subset(aUa,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f90,plain,
( ~ member(member_of_1_not_of_2(a,aUa),aUa)
| equal_sets(aUa,a)
| ~ spl0_4 ),
inference(resolution,[],[f55,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ member(member_of_1_not_of_2(X1,X0),X0)
| equal_sets(X0,X1) ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X2,X1] :
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f6,axiom,
! [X3,X4] :
( ~ subset(X3,X4)
| equal_sets(X4,X3)
| ~ subset(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
fof(f55,plain,
( subset(aUa,a)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f100,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f60,f14]) ).
fof(f14,axiom,
~ equal_sets(aUa,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_aUa) ).
fof(f60,plain,
( equal_sets(aUa,a)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f87,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f81,f26,f54]) ).
fof(f26,plain,
( spl0_2
<=> member(member_of_1_not_of_2(aUa,a),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f81,plain,
( subset(aUa,a)
| spl0_2 ),
inference(resolution,[],[f78,f2]) ).
fof(f2,axiom,
! [X2,X1] :
( member(member_of_1_not_of_2(X1,X2),X1)
| subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f78,plain,
( ~ member(member_of_1_not_of_2(aUa,a),aUa)
| spl0_2 ),
inference(resolution,[],[f66,f13]) ).
fof(f13,axiom,
union(a,a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_a_is_aUa) ).
fof(f66,plain,
( ! [X0] :
( ~ union(a,a,X0)
| ~ member(member_of_1_not_of_2(aUa,a),X0) )
| spl0_2 ),
inference(resolution,[],[f28,f17]) ).
fof(f17,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ union(X1,X1,X2)
| ~ member(X0,X2) ),
inference(factoring,[],[f7]) ).
fof(f7,axiom,
! [X3,X0,X4,X5] :
( member(X0,X4)
| ~ union(X3,X4,X5)
| ~ member(X0,X5)
| member(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).
fof(f28,plain,
( ~ member(member_of_1_not_of_2(aUa,a),a)
| spl0_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f65,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f64,f54,f26]) ).
fof(f64,plain,
( ~ member(member_of_1_not_of_2(aUa,a),a)
| spl0_4 ),
inference(resolution,[],[f56,f3]) ).
fof(f56,plain,
( ~ subset(aUa,a)
| spl0_4 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f61,plain,
( ~ spl0_4
| spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f47,f22,f58,f54]) ).
fof(f47,plain,
( equal_sets(aUa,a)
| ~ subset(aUa,a)
| spl0_1 ),
inference(resolution,[],[f39,f6]) ).
fof(f39,plain,
( subset(a,aUa)
| spl0_1 ),
inference(resolution,[],[f37,f2]) ).
fof(f37,plain,
( ~ member(member_of_1_not_of_2(a,aUa),a)
| spl0_1 ),
inference(resolution,[],[f32,f13]) ).
fof(f32,plain,
( ! [X3,X4] :
( ~ union(X4,X3,aUa)
| ~ member(member_of_1_not_of_2(a,aUa),X3) )
| spl0_1 ),
inference(resolution,[],[f24,f9]) ).
fof(f9,axiom,
! [X3,X0,X4,X5] :
( member(X0,X5)
| ~ member(X0,X4)
| ~ union(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set2_is_member_of_union) ).
fof(f24,plain,
( ~ member(member_of_1_not_of_2(a,aUa),aUa)
| spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % 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 12:52:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (17265)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.50 % (17274)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 % (17274)Refutation not found, incomplete strategy% (17274)------------------------------
% 0.19/0.50 % (17274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17274)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (17274)Memory used [KB]: 5884
% 0.19/0.50 % (17274)Time elapsed: 0.099 s
% 0.19/0.50 % (17274)Instructions burned: 2 (million)
% 0.19/0.50 % (17274)------------------------------
% 0.19/0.50 % (17274)------------------------------
% 0.19/0.50 % (17265)Refutation not found, incomplete strategy% (17265)------------------------------
% 0.19/0.50 % (17265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17265)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (17265)Memory used [KB]: 5884
% 0.19/0.50 % (17265)Time elapsed: 0.103 s
% 0.19/0.50 % (17265)Instructions burned: 1 (million)
% 0.19/0.50 % (17265)------------------------------
% 0.19/0.50 % (17265)------------------------------
% 0.19/0.51 % (17269)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (17268)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51 % (17267)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51 % (17267)Refutation not found, incomplete strategy% (17267)------------------------------
% 0.19/0.51 % (17267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17267)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (17267)Memory used [KB]: 5756
% 0.19/0.51 % (17267)Time elapsed: 0.105 s
% 0.19/0.51 % (17267)Instructions burned: 2 (million)
% 0.19/0.51 % (17267)------------------------------
% 0.19/0.51 % (17267)------------------------------
% 0.19/0.51 % (17280)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (17285)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (17280)Instruction limit reached!
% 0.19/0.51 % (17280)------------------------------
% 0.19/0.51 % (17280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17280)Termination reason: Unknown
% 0.19/0.51 % (17280)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (17280)Memory used [KB]: 5756
% 0.19/0.51 % (17285)Refutation not found, incomplete strategy% (17285)------------------------------
% 0.19/0.51 % (17285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17285)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (17285)Memory used [KB]: 1407
% 0.19/0.51 % (17285)Time elapsed: 0.106 s
% 0.19/0.51 % (17285)Instructions burned: 2 (million)
% 0.19/0.51 % (17285)------------------------------
% 0.19/0.51 % (17285)------------------------------
% 0.19/0.51 % (17280)Time elapsed: 0.004 s
% 0.19/0.51 % (17280)Instructions burned: 2 (million)
% 0.19/0.51 % (17280)------------------------------
% 0.19/0.51 % (17280)------------------------------
% 0.19/0.52 % (17284)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (17278)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52 % (17268)First to succeed.
% 0.19/0.52 % (17272)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (17272)Instruction limit reached!
% 0.19/0.52 % (17272)------------------------------
% 0.19/0.52 % (17272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17272)Termination reason: Unknown
% 0.19/0.52 % (17272)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (17272)Memory used [KB]: 5884
% 0.19/0.52 % (17272)Time elapsed: 0.112 s
% 0.19/0.52 % (17272)Instructions burned: 3 (million)
% 0.19/0.52 % (17272)------------------------------
% 0.19/0.52 % (17272)------------------------------
% 0.19/0.53 % (17268)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (17268)------------------------------
% 0.19/0.53 % (17268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17268)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (17268)Memory used [KB]: 5884
% 0.19/0.53 % (17268)Time elapsed: 0.116 s
% 0.19/0.53 % (17268)Instructions burned: 3 (million)
% 0.19/0.53 % (17268)------------------------------
% 0.19/0.53 % (17268)------------------------------
% 0.19/0.53 % (17260)Success in time 0.168 s
%------------------------------------------------------------------------------