TSTP Solution File: SEU097+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU097+1 : 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 : 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 18:26:39 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 13 unt; 0 def)
% Number of atoms : 87 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 31 ~; 20 |; 15 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 36 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f280,plain,
$false,
inference(avatar_sat_refutation,[],[f258,f274,f279]) ).
fof(f279,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| spl7_2 ),
inference(subsumption_resolution,[],[f275,f125]) ).
fof(f125,plain,
finite(sK1),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( finite(sK2)
& ~ finite(symmetric_difference(sK2,sK1))
& finite(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f91,f101]) ).
fof(f101,plain,
( ? [X0,X1] :
( finite(X1)
& ~ finite(symmetric_difference(X1,X0))
& finite(X0) )
=> ( finite(sK2)
& ~ finite(symmetric_difference(sK2,sK1))
& finite(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
? [X0,X1] :
( finite(X1)
& ~ finite(symmetric_difference(X1,X0))
& finite(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
? [X1,X0] :
( ~ finite(symmetric_difference(X1,X0))
& finite(X0)
& finite(X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
~ ! [X1,X0] :
( ( finite(X0)
& finite(X1) )
=> finite(symmetric_difference(X1,X0)) ),
inference(rectify,[],[f61]) ).
fof(f61,negated_conjecture,
~ ! [X1,X0] :
( ( finite(X0)
& finite(X1) )
=> finite(symmetric_difference(X0,X1)) ),
inference(negated_conjecture,[],[f60]) ).
fof(f60,conjecture,
! [X1,X0] :
( ( finite(X0)
& finite(X1) )
=> finite(symmetric_difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_finset_1) ).
fof(f275,plain,
( ~ finite(sK1)
| spl7_2 ),
inference(resolution,[],[f204,f121]) ).
fof(f121,plain,
! [X0,X1] :
( finite(set_difference(X1,X0))
| ~ finite(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ finite(X1)
| finite(set_difference(X1,X0)) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( finite(X1)
=> finite(set_difference(X1,X0)) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X1,X0] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_finset_1) ).
fof(f204,plain,
( ~ finite(set_difference(sK1,sK2))
| spl7_2 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl7_2
<=> finite(set_difference(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f274,plain,
( ~ spl7_2
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f273,f246,f202]) ).
fof(f246,plain,
( spl7_7
<=> finite(set_difference(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f273,plain,
( ~ finite(set_difference(sK1,sK2))
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f264,f247]) ).
fof(f247,plain,
( finite(set_difference(sK2,sK1))
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f264,plain,
( ~ finite(set_difference(sK1,sK2))
| ~ finite(set_difference(sK2,sK1)) ),
inference(resolution,[],[f116,f172]) ).
fof(f172,plain,
~ finite(set_union2(set_difference(sK1,sK2),set_difference(sK2,sK1))),
inference(backward_demodulation,[],[f150,f143]) ).
fof(f143,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f150,plain,
~ finite(set_union2(set_difference(sK2,sK1),set_difference(sK1,sK2))),
inference(definition_unfolding,[],[f126,f119]) ).
fof(f119,plain,
! [X0,X1] : symmetric_difference(X1,X0) = set_union2(set_difference(X1,X0),set_difference(X0,X1)),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] : symmetric_difference(X1,X0) = set_union2(set_difference(X1,X0),set_difference(X0,X1)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_xboole_0) ).
fof(f126,plain,
~ finite(symmetric_difference(sK2,sK1)),
inference(cnf_transformation,[],[f102]) ).
fof(f116,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(set_union2(X0,X1)) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X1,X0] :
( ~ finite(X0)
| ~ finite(X1)
| finite(set_union2(X1,X0)) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( finite(set_union2(X1,X0))
| ~ finite(X1)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(set_union2(X1,X0)) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( ( finite(X1)
& finite(X0) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_finset_1) ).
fof(f258,plain,
spl7_7,
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| spl7_7 ),
inference(subsumption_resolution,[],[f254,f127]) ).
fof(f127,plain,
finite(sK2),
inference(cnf_transformation,[],[f102]) ).
fof(f254,plain,
( ~ finite(sK2)
| spl7_7 ),
inference(resolution,[],[f248,f121]) ).
fof(f248,plain,
( ~ finite(set_difference(sK2,sK1))
| spl7_7 ),
inference(avatar_component_clause,[],[f246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:59:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (15057)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (15073)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.50 % (15053)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)
% 0.20/0.50 % (15067)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (15065)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)
% 0.20/0.51 % (15057)First to succeed.
% 0.20/0.51 % (15052)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)
% 0.20/0.51 % (15052)Instruction limit reached!
% 0.20/0.51 % (15052)------------------------------
% 0.20/0.51 % (15052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15052)Termination reason: Unknown
% 0.20/0.51 % (15052)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (15052)Memory used [KB]: 1535
% 0.20/0.51 % (15052)Time elapsed: 0.003 s
% 0.20/0.51 % (15052)Instructions burned: 4 (million)
% 0.20/0.51 % (15052)------------------------------
% 0.20/0.51 % (15052)------------------------------
% 0.20/0.51 % (15075)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (15059)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (15065)Instruction limit reached!
% 0.20/0.51 % (15065)------------------------------
% 0.20/0.51 % (15065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15065)Termination reason: Unknown
% 0.20/0.51 % (15065)Termination phase: Function definition elimination
% 0.20/0.51
% 0.20/0.51 % (15065)Memory used [KB]: 1535
% 0.20/0.51 % (15065)Time elapsed: 0.005 s
% 0.20/0.51 % (15065)Instructions burned: 4 (million)
% 0.20/0.51 % (15065)------------------------------
% 0.20/0.51 % (15065)------------------------------
% 0.20/0.51 % (15057)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (15057)------------------------------
% 0.20/0.51 % (15057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15057)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (15057)Memory used [KB]: 6012
% 0.20/0.51 % (15057)Time elapsed: 0.105 s
% 0.20/0.51 % (15057)Instructions burned: 7 (million)
% 0.20/0.51 % (15057)------------------------------
% 0.20/0.51 % (15057)------------------------------
% 0.20/0.51 % (15048)Success in time 0.165 s
%------------------------------------------------------------------------------