TSTP Solution File: NUM505+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n009.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 18:00:11 EDT 2022
% Result : Theorem 0.19s 0.61s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 106 ( 24 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 119 ( 47 ~; 39 |; 25 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f470,plain,
$false,
inference(avatar_sat_refutation,[],[f397,f410,f469]) ).
fof(f469,plain,
spl18_7,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| spl18_7 ),
inference(subsumption_resolution,[],[f467,f330]) ).
fof(f330,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f467,plain,
( ~ aNaturalNumber0(xk)
| spl18_7 ),
inference(subsumption_resolution,[],[f466,f339]) ).
fof(f339,plain,
~ sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ~ sdtlseqdt0(xp,xk)
& ! [X0] :
( sdtpldt0(xp,X0) != xk
| ~ aNaturalNumber0(X0) )
& ( ( ~ sdtlseqdt0(xk,xp)
& ! [X1] :
( xp != sdtpldt0(xk,X1)
| ~ aNaturalNumber0(X1) ) )
| xp = xk ) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
( ( ( ~ sdtlseqdt0(xk,xp)
& ! [X1] :
( xp != sdtpldt0(xk,X1)
| ~ aNaturalNumber0(X1) ) )
| xp = xk )
& ~ sdtlseqdt0(xp,xk)
& ! [X0] :
( sdtpldt0(xp,X0) != xk
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ( ~ ( sdtlseqdt0(xp,xk)
| ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) )
=> ( ( sdtlseqdt0(xk,xp)
| ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtpldt0(xk,X1) ) )
& xp != xk ) ),
inference(rectify,[],[f51]) ).
fof(f51,negated_conjecture,
~ ( ~ ( sdtlseqdt0(xp,xk)
| ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) )
=> ( ( ? [X0] :
( xp = sdtpldt0(xk,X0)
& aNaturalNumber0(X0) )
| sdtlseqdt0(xk,xp) )
& xp != xk ) ),
inference(negated_conjecture,[],[f50]) ).
fof(f50,conjecture,
( ~ ( sdtlseqdt0(xp,xk)
| ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) )
=> ( ( ? [X0] :
( xp = sdtpldt0(xk,X0)
& aNaturalNumber0(X0) )
| sdtlseqdt0(xk,xp) )
& xp != xk ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f466,plain,
( sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xk)
| spl18_7 ),
inference(subsumption_resolution,[],[f459,f310]) ).
fof(f310,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f459,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xk)
| spl18_7 ),
inference(resolution,[],[f267,f396]) ).
fof(f396,plain,
( ~ sdtlseqdt0(xk,xp)
| spl18_7 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl18_7
<=> sdtlseqdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).
fof(f267,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( X0 != X1
& sdtlseqdt0(X0,X1) )
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ( X0 != X1
& sdtlseqdt0(X0,X1) )
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
| sdtlseqdt0(X1,X0) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
| ( X0 != X1
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f410,plain,
~ spl18_2,
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f409,plain,
( $false
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f408,f310]) ).
fof(f408,plain,
( ~ aNaturalNumber0(xp)
| ~ spl18_2 ),
inference(resolution,[],[f258,f399]) ).
fof(f399,plain,
( ~ sdtlseqdt0(xp,xp)
| ~ spl18_2 ),
inference(backward_demodulation,[],[f339,f372]) ).
fof(f372,plain,
( xp = xk
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl18_2
<=> xp = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f258,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(f397,plain,
( spl18_2
| ~ spl18_7 ),
inference(avatar_split_clause,[],[f337,f394,f370]) ).
fof(f337,plain,
( ~ sdtlseqdt0(xk,xp)
| xp = xk ),
inference(cnf_transformation,[],[f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 30 06:44:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.53 % (13775)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)
% 0.19/0.53 % (13768)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)
% 0.19/0.53 % (13767)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)
% 0.19/0.54 % (13776)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)
% 0.19/0.54 % (13784)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)
% 0.19/0.54 % (13783)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)
% 0.19/0.55 % (13775)Instruction limit reached!
% 0.19/0.55 % (13775)------------------------------
% 0.19/0.55 % (13775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (13775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (13775)Termination reason: Unknown
% 0.19/0.56 % (13775)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (13775)Memory used [KB]: 6140
% 0.19/0.56 % (13775)Time elapsed: 0.009 s
% 0.19/0.56 % (13775)Instructions burned: 7 (million)
% 0.19/0.56 % (13775)------------------------------
% 0.19/0.56 % (13775)------------------------------
% 0.19/0.57 % (13770)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)
% 0.19/0.57 % (13771)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)
% 0.19/0.58 % (13760)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.58 % (13777)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.58 % (13781)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)
% 0.19/0.58 % (13763)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)
% 0.19/0.59 % (13788)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)
% 0.19/0.59 % (13762)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)
% 0.19/0.59 % (13762)Instruction limit reached!
% 0.19/0.59 % (13762)------------------------------
% 0.19/0.59 % (13762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (13762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (13762)Termination reason: Unknown
% 0.19/0.59 % (13762)Termination phase: Preprocessing 3
% 0.19/0.59
% 0.19/0.59 % (13762)Memory used [KB]: 1535
% 0.19/0.59 % (13762)Time elapsed: 0.003 s
% 0.19/0.59 % (13762)Instructions burned: 3 (million)
% 0.19/0.59 % (13762)------------------------------
% 0.19/0.59 % (13762)------------------------------
% 0.19/0.59 % (13774)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)
% 0.19/0.59 % (13789)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)
% 0.19/0.59 % (13774)Instruction limit reached!
% 0.19/0.59 % (13774)------------------------------
% 0.19/0.59 % (13774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (13774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (13774)Termination reason: Unknown
% 0.19/0.59 % (13774)Termination phase: Preprocessing 3
% 0.19/0.59
% 0.19/0.59 % (13774)Memory used [KB]: 1535
% 0.19/0.59 % (13774)Time elapsed: 0.003 s
% 0.19/0.59 % (13774)Instructions burned: 3 (million)
% 0.19/0.59 % (13774)------------------------------
% 0.19/0.59 % (13774)------------------------------
% 0.19/0.59 % (13787)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)
% 0.19/0.59 % (13772)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)
% 0.19/0.60 % (13782)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)
% 0.19/0.60 % (13764)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)
% 0.19/0.60 % (13767)Instruction limit reached!
% 0.19/0.60 % (13767)------------------------------
% 0.19/0.60 % (13767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (13767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (13767)Termination reason: Unknown
% 0.19/0.60 % (13767)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (13767)Memory used [KB]: 6652
% 0.19/0.60 % (13767)Time elapsed: 0.188 s
% 0.19/0.60 % (13767)Instructions burned: 40 (million)
% 0.19/0.60 % (13767)------------------------------
% 0.19/0.60 % (13767)------------------------------
% 0.19/0.60 % (13771)Instruction limit reached!
% 0.19/0.60 % (13771)------------------------------
% 0.19/0.60 % (13771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (13771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (13771)Termination reason: Unknown
% 0.19/0.60 % (13771)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (13771)Memory used [KB]: 6140
% 0.19/0.60 % (13771)Time elapsed: 0.007 s
% 0.19/0.60 % (13771)Instructions burned: 7 (million)
% 0.19/0.60 % (13771)------------------------------
% 0.19/0.60 % (13771)------------------------------
% 0.19/0.60 % (13785)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)
% 0.19/0.60 % (13773)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)
% 0.19/0.60 % (13765)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)
% 0.19/0.60 % (13779)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)
% 0.19/0.60 % (13778)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)
% 0.19/0.60 % (13778)Instruction limit reached!
% 0.19/0.60 % (13778)------------------------------
% 0.19/0.60 % (13778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (13778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (13778)Termination reason: Unknown
% 0.19/0.60 % (13778)Termination phase: Naming
% 0.19/0.60
% 0.19/0.60 % (13778)Memory used [KB]: 1535
% 0.19/0.60 % (13778)Time elapsed: 0.003 s
% 0.19/0.60 % (13778)Instructions burned: 3 (million)
% 0.19/0.60 % (13778)------------------------------
% 0.19/0.60 % (13778)------------------------------
% 0.19/0.60 % (13783)Instruction limit reached!
% 0.19/0.60 % (13783)------------------------------
% 0.19/0.60 % (13783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (13783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (13783)Termination reason: Unknown
% 0.19/0.60 % (13783)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (13783)Memory used [KB]: 2558
% 0.19/0.60 % (13783)Time elapsed: 0.189 s
% 0.19/0.60 % (13783)Instructions burned: 45 (million)
% 0.19/0.60 % (13783)------------------------------
% 0.19/0.60 % (13783)------------------------------
% 0.19/0.60 % (13766)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)
% 0.19/0.60 % (13777)Instruction limit reached!
% 0.19/0.60 % (13777)------------------------------
% 0.19/0.60 % (13777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (13777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (13777)Termination reason: Unknown
% 0.19/0.60 % (13777)Termination phase: Preprocessing 3
% 0.19/0.60
% 0.19/0.60 % (13777)Memory used [KB]: 1535
% 0.19/0.60 % (13777)Time elapsed: 0.005 s
% 0.19/0.60 % (13777)Instructions burned: 3 (million)
% 0.19/0.60 % (13777)------------------------------
% 0.19/0.60 % (13777)------------------------------
% 0.19/0.60 % (13769)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)
% 0.19/0.61 % (13780)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)
% 0.19/0.61 % (13786)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)
% 0.19/0.61 % (13760)First to succeed.
% 0.19/0.61 % (13760)Refutation found. Thanks to Tanya!
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.61 % (13760)------------------------------
% 0.19/0.61 % (13760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (13760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (13760)Termination reason: Refutation
% 0.19/0.61
% 0.19/0.61 % (13760)Memory used [KB]: 6268
% 0.19/0.61 % (13760)Time elapsed: 0.181 s
% 0.19/0.61 % (13760)Instructions burned: 10 (million)
% 0.19/0.61 % (13760)------------------------------
% 0.19/0.61 % (13760)------------------------------
% 0.19/0.61 % (13759)Success in time 0.26 s
%------------------------------------------------------------------------------