TSTP Solution File: SEU161+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU161+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 : n014.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 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 35 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 6 |; 5 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f660,plain,
$false,
inference(subsumption_resolution,[],[f658,f619]) ).
fof(f619,plain,
subset(singleton(sK4),sK5),
inference(unit_resulting_resolution,[],[f311,f323]) ).
fof(f323,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f311,plain,
in(sK4,sK5),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( in(sK4,sK5)
& set_union2(singleton(sK4),sK5) != sK5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f146,f200]) ).
fof(f200,plain,
( ? [X0,X1] :
( in(X0,X1)
& set_union2(singleton(X0),X1) != X1 )
=> ( in(sK4,sK5)
& set_union2(singleton(sK4),sK5) != sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1] :
( in(X0,X1)
& set_union2(singleton(X0),X1) != X1 ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,negated_conjecture,
~ ! [X1,X0] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
inference(negated_conjecture,[],[f76]) ).
fof(f76,conjecture,
! [X1,X0] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).
fof(f658,plain,
~ subset(singleton(sK4),sK5),
inference(unit_resulting_resolution,[],[f310,f297]) ).
fof(f297,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X1,X0] :
( ~ subset(X1,X0)
| set_union2(X1,X0) = X0 ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( subset(X1,X0)
=> set_union2(X1,X0) = X0 ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X1,X0] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f310,plain,
set_union2(singleton(sK4),sK5) != sK5,
inference(cnf_transformation,[],[f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU161+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:44:18 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 % (19340)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)
% 0.21/0.48 % (19332)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)
% 0.21/0.52 % (19322)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)
% 0.21/0.53 % (19320)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)
% 0.21/0.53 % (19339)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.54 % (19320)Instruction limit reached!
% 0.21/0.54 % (19320)------------------------------
% 0.21/0.54 % (19320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (19331)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.54 % (19332)Instruction limit reached!
% 0.21/0.54 % (19332)------------------------------
% 0.21/0.54 % (19332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (19332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (19332)Termination reason: Unknown
% 0.21/0.54 % (19332)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (19332)Memory used [KB]: 6908
% 0.21/0.54 % (19332)Time elapsed: 0.109 s
% 0.21/0.54 % (19332)Instructions burned: 51 (million)
% 0.21/0.54 % (19332)------------------------------
% 0.21/0.54 % (19332)------------------------------
% 0.21/0.54 % (19333)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)
% 0.21/0.54 % (19333)Instruction limit reached!
% 0.21/0.54 % (19333)------------------------------
% 0.21/0.54 % (19333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (19333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (19333)Termination reason: Unknown
% 0.21/0.54 % (19333)Termination phase: Preprocessing 3
% 0.21/0.54
% 0.21/0.54 % (19333)Memory used [KB]: 1535
% 0.21/0.54 % (19333)Time elapsed: 0.002 s
% 0.21/0.54 % (19333)Instructions burned: 3 (million)
% 0.21/0.54 % (19333)------------------------------
% 0.21/0.54 % (19333)------------------------------
% 0.21/0.54 % (19342)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)
% 0.21/0.54 % (19347)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.54 % (19343)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)
% 0.21/0.54 % (19319)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (19329)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.54 % (19334)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)
% 0.21/0.55 % (19322)First to succeed.
% 0.21/0.55 % (19323)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)
% 0.21/0.55 % (19326)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)
% 0.21/0.55 % (19329)Instruction limit reached!
% 0.21/0.55 % (19329)------------------------------
% 0.21/0.55 % (19329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (19329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (19329)Termination reason: Unknown
% 0.21/0.55 % (19329)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (19329)Memory used [KB]: 6268
% 0.21/0.55 % (19329)Time elapsed: 0.136 s
% 0.21/0.55 % (19329)Instructions burned: 12 (million)
% 0.21/0.55 % (19329)------------------------------
% 0.21/0.55 % (19329)------------------------------
% 0.21/0.55 % (19348)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)
% 0.21/0.55 % (19328)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.55 % (19344)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)
% 0.21/0.55 % (19321)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)
% 0.21/0.55 % (19347)Instruction limit reached!
% 0.21/0.55 % (19347)------------------------------
% 0.21/0.55 % (19347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (19347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (19347)Termination reason: Unknown
% 0.21/0.55 % (19347)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (19347)Memory used [KB]: 1663
% 0.21/0.55 % (19347)Time elapsed: 0.005 s
% 0.21/0.55 % (19347)Instructions burned: 8 (million)
% 0.21/0.55 % (19347)------------------------------
% 0.21/0.55 % (19347)------------------------------
% 0.21/0.55 % (19320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (19320)Termination reason: Unknown
% 0.21/0.55 % (19320)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (19320)Memory used [KB]: 6268
% 0.21/0.55 % (19320)Time elapsed: 0.122 s
% 0.21/0.55 % (19320)Instructions burned: 13 (million)
% 0.21/0.55 % (19320)------------------------------
% 0.21/0.55 % (19320)------------------------------
% 0.21/0.55 % (19324)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)
% 0.21/0.55 % (19325)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)
% 0.21/0.55 % (19321)Instruction limit reached!
% 0.21/0.55 % (19321)------------------------------
% 0.21/0.55 % (19321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (19321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (19321)Termination reason: Unknown
% 0.21/0.55 % (19321)Termination phase: Preprocessing 3
% 0.21/0.55
% 0.21/0.55 % (19321)Memory used [KB]: 1535
% 0.21/0.55 % (19321)Time elapsed: 0.004 s
% 0.21/0.55 % (19321)Instructions burned: 3 (million)
% 0.21/0.55 % (19321)------------------------------
% 0.21/0.55 % (19321)------------------------------
% 0.21/0.55 % (19345)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (19335)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)
% 0.21/0.56 % (19327)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)
% 0.21/0.56 % (19330)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)
% 0.21/0.56 % (19337)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)
% 0.21/0.56 % (19337)Instruction limit reached!
% 0.21/0.56 % (19337)------------------------------
% 0.21/0.56 % (19337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (19337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (19337)Termination reason: Unknown
% 0.21/0.56 % (19337)Termination phase: Preprocessing 3
% 0.21/0.56
% 0.21/0.56 % (19337)Memory used [KB]: 1535
% 0.21/0.56 % (19337)Time elapsed: 0.002 s
% 0.21/0.56 % (19337)Instructions burned: 3 (million)
% 0.21/0.56 % (19337)------------------------------
% 0.21/0.56 % (19337)------------------------------
% 0.21/0.56 % (19334)Instruction limit reached!
% 0.21/0.56 % (19334)------------------------------
% 0.21/0.56 % (19334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (19334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (19334)Termination reason: Unknown
% 0.21/0.56 % (19334)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (19334)Memory used [KB]: 6140
% 0.21/0.56 % (19334)Time elapsed: 0.005 s
% 0.21/0.56 % (19334)Instructions burned: 7 (million)
% 0.21/0.56 % (19334)------------------------------
% 0.21/0.56 % (19334)------------------------------
% 0.21/0.56 % (19322)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (19322)------------------------------
% 0.21/0.56 % (19322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (19322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (19322)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (19322)Memory used [KB]: 6396
% 0.21/0.56 % (19322)Time elapsed: 0.129 s
% 0.21/0.56 % (19322)Instructions burned: 16 (million)
% 0.21/0.56 % (19322)------------------------------
% 0.21/0.56 % (19322)------------------------------
% 0.21/0.56 % (19314)Success in time 0.199 s
%------------------------------------------------------------------------------