TSTP Solution File: SEU148+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU148+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n018.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 18:26:54 EDT 2022
% Result : Theorem 1.33s 0.53s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 107 ( 41 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 125 ( 48 ~; 40 |; 24 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 54 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f346,plain,
$false,
inference(subsumption_resolution,[],[f345,f339]) ).
fof(f339,plain,
~ in(sK1,singleton(sK2)),
inference(unit_resulting_resolution,[],[f212,f321]) ).
fof(f321,plain,
! [X2,X1] :
( ~ in(X2,singleton(X1))
| X1 = X2 ),
inference(equality_resolution,[],[f282]) ).
fof(f282,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ in(X2,X0)
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ( ( ~ in(sK9(X0,X1),X0)
| sK9(X0,X1) != X1 )
& ( in(sK9(X0,X1),X0)
| sK9(X0,X1) = X1 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f186,f187]) ).
fof(f187,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ in(X3,X0)
| X1 != X3 )
& ( in(X3,X0)
| X1 = X3 ) )
=> ( ( ~ in(sK9(X0,X1),X0)
| sK9(X0,X1) != X1 )
& ( in(sK9(X0,X1),X0)
| sK9(X0,X1) = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| X1 != X3 )
& ( in(X3,X0)
| X1 = X3 ) ) ) ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X2] :
( ( ~ in(X2,X0)
| X1 != X2 )
& ( in(X2,X0)
| X1 = X2 ) ) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2] :
( X1 = X2
<=> in(X2,X0) )
<=> singleton(X1) = X0 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( ! [X2] :
( X0 = X2
<=> in(X2,X1) )
<=> singleton(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f212,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( sK1 != sK2
& subset(singleton(sK1),singleton(sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f134,f135]) ).
fof(f135,plain,
( ? [X0,X1] :
( X0 != X1
& subset(singleton(X0),singleton(X1)) )
=> ( sK1 != sK2
& subset(singleton(sK1),singleton(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
? [X0,X1] :
( X0 != X1
& subset(singleton(X0),singleton(X1)) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
? [X1,X0] :
( X0 != X1
& subset(singleton(X1),singleton(X0)) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
~ ! [X1,X0] :
( subset(singleton(X1),singleton(X0))
=> X0 = X1 ),
inference(rectify,[],[f67]) ).
fof(f67,negated_conjecture,
~ ! [X1,X0] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
inference(negated_conjecture,[],[f66]) ).
fof(f66,conjecture,
! [X1,X0] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(f345,plain,
in(sK1,singleton(sK2)),
inference(unit_resulting_resolution,[],[f323,f211,f208]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( in(sK0(X0,X1),X1)
& ~ in(sK0(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f130,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& ~ in(X3,X0) )
=> ( in(sK0(X0,X1),X1)
& ~ in(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( in(X3,X1)
& ~ in(X3,X0) ) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X1,X0] :
( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f211,plain,
subset(singleton(sK1),singleton(sK2)),
inference(cnf_transformation,[],[f136]) ).
fof(f323,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f322]) ).
fof(f322,plain,
! [X2,X0] :
( in(X2,X0)
| singleton(X2) != X0 ),
inference(equality_resolution,[],[f281]) ).
fof(f281,plain,
! [X2,X0,X1] :
( in(X2,X0)
| X1 != X2
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU148+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:49:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (12082)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)
% 0.19/0.45 % (12066)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.45 % (12066)Instruction limit reached!
% 0.19/0.45 % (12066)------------------------------
% 0.19/0.45 % (12066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (12066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (12066)Termination reason: Unknown
% 0.19/0.45 % (12066)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (12066)Memory used [KB]: 6140
% 0.19/0.45 % (12066)Time elapsed: 0.007 s
% 0.19/0.45 % (12066)Instructions burned: 7 (million)
% 0.19/0.45 % (12066)------------------------------
% 0.19/0.45 % (12066)------------------------------
% 0.19/0.48 % (12082)Instruction limit reached!
% 0.19/0.48 % (12082)------------------------------
% 0.19/0.48 % (12082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (12082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (12082)Termination reason: Unknown
% 0.19/0.48 % (12082)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (12082)Memory used [KB]: 6396
% 0.19/0.48 % (12082)Time elapsed: 0.093 s
% 0.19/0.48 % (12082)Instructions burned: 25 (million)
% 0.19/0.48 % (12082)------------------------------
% 0.19/0.48 % (12082)------------------------------
% 0.19/0.49 % (12074)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)
% 0.19/0.50 % (12069)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)
% 0.19/0.50 % (12059)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (12057)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)
% 0.19/0.51 % (12069)Instruction limit reached!
% 0.19/0.51 % (12069)------------------------------
% 0.19/0.51 % (12069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (12069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (12069)Termination reason: Unknown
% 0.19/0.51 % (12069)Termination phase: Function definition elimination
% 0.19/0.51
% 0.19/0.51 % (12069)Memory used [KB]: 1535
% 0.19/0.51 % (12069)Time elapsed: 0.003 s
% 0.19/0.51 % (12069)Instructions burned: 4 (million)
% 0.19/0.51 % (12069)------------------------------
% 0.19/0.51 % (12069)------------------------------
% 0.19/0.51 % (12062)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)
% 0.19/0.51 % (12057)Instruction limit reached!
% 0.19/0.51 % (12057)------------------------------
% 0.19/0.51 % (12057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (12057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (12057)Termination reason: Unknown
% 0.19/0.51 % (12057)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (12057)Memory used [KB]: 1535
% 0.19/0.51 % (12057)Time elapsed: 0.002 s
% 0.19/0.51 % (12057)Instructions burned: 3 (million)
% 0.19/0.51 % (12057)------------------------------
% 0.19/0.51 % (12057)------------------------------
% 0.19/0.51 % (12060)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)
% 0.19/0.51 % (12079)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)
% 0.19/0.51 % (12072)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (12076)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)
% 0.19/0.52 % (12061)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)
% 0.19/0.52 % (12071)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)
% 0.19/0.52 % (12073)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (12068)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)
% 0.19/0.52 % (12058)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)
% 0.19/0.52 % (12084)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52 % (12055)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (12080)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.33/0.53 % (12078)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)
% 1.33/0.53 % (12058)First to succeed.
% 1.33/0.53 % (12058)Refutation found. Thanks to Tanya!
% 1.33/0.53 % SZS status Theorem for theBenchmark
% 1.33/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.53 % (12058)------------------------------
% 1.33/0.53 % (12058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (12058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (12058)Termination reason: Refutation
% 1.33/0.53
% 1.33/0.53 % (12058)Memory used [KB]: 6140
% 1.33/0.53 % (12058)Time elapsed: 0.127 s
% 1.33/0.53 % (12058)Instructions burned: 6 (million)
% 1.33/0.53 % (12058)------------------------------
% 1.33/0.53 % (12058)------------------------------
% 1.33/0.53 % (12054)Success in time 0.178 s
%------------------------------------------------------------------------------