TSTP Solution File: SET921+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET921+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 : n017.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 18:22:45 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 3 unt; 0 def)
% Number of atoms : 102 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 46 ~; 41 |; 6 &)
% ( 13 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 55 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f44,f70,f92]) ).
fof(f92,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| ~ spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f78,f31]) ).
fof(f31,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f30]) ).
fof(f30,plain,
! [X2,X1] :
( in(X2,singleton(X1))
| X1 != X2 ),
inference(equality_resolution,[],[f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( singleton(X1) != X0
| in(X2,X0)
| X1 != X2 ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ! [X2] :
( X1 = X2
<=> in(X2,X0) )
<=> singleton(X1) = X0 ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f78,plain,
( ~ in(sK2,singleton(sK2))
| ~ spl5_1
| ~ spl5_2 ),
inference(unit_resulting_resolution,[],[f71,f28]) ).
fof(f28,plain,
! [X2,X3,X0] :
( ~ in(X3,set_difference(X0,X2))
| ~ in(X3,X2) ),
inference(equality_resolution,[],[f18]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X1)
| ~ in(X3,X2)
| set_difference(X0,X2) != X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X2,X0] :
( set_difference(X0,X2) = X1
<=> ! [X3] :
( ( in(X3,X0)
& ~ in(X3,X2) )
<=> in(X3,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X1] :
( ! [X3] :
( ( in(X3,X0)
& ~ in(X3,X1) )
<=> in(X3,X2) )
<=> set_difference(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f71,plain,
( in(sK2,set_difference(sK3,singleton(sK2)))
| ~ spl5_1
| ~ spl5_2 ),
inference(forward_demodulation,[],[f37,f42]) ).
fof(f42,plain,
( sK2 = sK4
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl5_2
<=> sK2 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f37,plain,
( in(sK2,set_difference(sK3,singleton(sK4)))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl5_1
<=> in(sK2,set_difference(sK3,singleton(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f70,plain,
( spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| spl5_1
| spl5_2 ),
inference(subsumption_resolution,[],[f63,f33]) ).
fof(f33,plain,
in(sK2,sK3),
inference(subsumption_resolution,[],[f25,f27]) ).
fof(f27,plain,
! [X2,X3,X0] :
( ~ in(X3,set_difference(X0,X2))
| in(X3,X0) ),
inference(equality_resolution,[],[f19]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X1)
| in(X3,X0)
| set_difference(X0,X2) != X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
( in(sK2,set_difference(sK3,singleton(sK4)))
| in(sK2,sK3) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
? [X2,X1,X0] :
( in(X2,set_difference(X1,singleton(X0)))
<~> ( X0 != X2
& in(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X0,X1,X2] :
( in(X2,set_difference(X1,singleton(X0)))
<=> ( X0 != X2
& in(X2,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X2,X1,X0] :
( ( X0 != X2
& in(X0,X1) )
<=> in(X0,set_difference(X1,singleton(X2))) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X2,X1,X0] :
( ( X0 != X2
& in(X0,X1) )
<=> in(X0,set_difference(X1,singleton(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_zfmisc_1) ).
fof(f63,plain,
( ~ in(sK2,sK3)
| spl5_1
| spl5_2 ),
inference(unit_resulting_resolution,[],[f38,f50,f29]) ).
fof(f29,plain,
! [X2,X3,X0] :
( in(X3,set_difference(X0,X2))
| in(X3,X2)
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f17]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| in(X3,X2)
| ~ in(X3,X0)
| set_difference(X0,X2) != X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f50,plain,
( ~ in(sK2,singleton(sK4))
| spl5_2 ),
inference(unit_resulting_resolution,[],[f41,f32]) ).
fof(f32,plain,
! [X2,X1] :
( ~ in(X2,singleton(X1))
| X1 = X2 ),
inference(equality_resolution,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( singleton(X1) != X0
| ~ in(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f10]) ).
fof(f41,plain,
( sK2 != sK4
| spl5_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f38,plain,
( ~ in(sK2,set_difference(sK3,singleton(sK4)))
| spl5_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f44,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f26,f40,f36]) ).
fof(f26,plain,
( sK2 != sK4
| in(sK2,set_difference(sK3,singleton(sK4))) ),
inference(cnf_transformation,[],[f12]) ).
fof(f43,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f34,f40,f36]) ).
fof(f34,plain,
( sK2 = sK4
| ~ in(sK2,set_difference(sK3,singleton(sK4))) ),
inference(subsumption_resolution,[],[f24,f27]) ).
fof(f24,plain,
( sK2 = sK4
| ~ in(sK2,set_difference(sK3,singleton(sK4)))
| ~ in(sK2,sK3) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET921+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % 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 : n017.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 13:54:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.53 % (18627)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (18626)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)
% 0.20/0.53 % (18628)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)
% 0.20/0.53 % (18628)First to succeed.
% 0.20/0.54 % (18643)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (18636)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)
% 0.20/0.54 % (18634)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)
% 0.20/0.55 % (18625)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.55 % (18635)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (18628)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (18628)------------------------------
% 0.20/0.55 % (18628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18628)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (18628)Memory used [KB]: 5884
% 0.20/0.55 % (18628)Time elapsed: 0.111 s
% 0.20/0.55 % (18628)Instructions burned: 4 (million)
% 0.20/0.55 % (18628)------------------------------
% 0.20/0.55 % (18628)------------------------------
% 0.20/0.55 % (18619)Success in time 0.196 s
%------------------------------------------------------------------------------