TSTP Solution File: SWC118+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC118+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n013.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 18:38:56 EDT 2022
% Result : Theorem 2.39s 0.68s
% Output : Refutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 11 unt; 0 def)
% Number of atoms : 219 ( 62 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 271 ( 96 ~; 89 |; 62 &)
% ( 8 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 77 ( 45 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1306,plain,
$false,
inference(avatar_sat_refutation,[],[f302,f311,f312,f1246,f1287]) ).
fof(f1287,plain,
spl24_3,
inference(avatar_contradiction_clause,[],[f1286]) ).
fof(f1286,plain,
( $false
| spl24_3 ),
inference(subsumption_resolution,[],[f1285,f253]) ).
fof(f253,plain,
ssList(sK19),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& X1 = X3
& ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& ssList(X3)
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( app(app(X4,X2),X5) = X3
& ssList(X5)
& totalorderedP(X2)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != X2
| ~ leq(X12,X10)
| ~ ssList(X13) ) )
| app(cons(X10,nil),X11) != X5 )
| ~ ssItem(X10) )
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ leq(X6,X8)
| ~ ssList(X9)
| app(cons(X8,nil),X9) != X2 ) )
| app(X7,cons(X6,nil)) != X4
| ~ ssList(X7) ) ) )
& ssList(X4) )
& ( nil != X1
| nil != X0 ) )
& ssList(X2) )
& ssList(X1) ) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( totalorderedP(X2)
& app(app(X4,X2),X5) = X3
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != X2
| ~ leq(X12,X10)
| ~ ssList(X13) ) )
| app(cons(X10,nil),X11) != X5 )
| ~ ssItem(X10) )
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ leq(X6,X8)
| ~ ssList(X9)
| app(cons(X8,nil),X9) != X2 ) )
| app(X7,cons(X6,nil)) != X4
| ~ ssList(X7) ) )
& ssList(X5) )
& ssList(X4) )
& X0 = X2
& X1 = X3
& ( nil != X1
| nil != X0 )
& ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& ( nil != X2
| nil = X3 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ~ totalorderedP(X2)
| app(app(X4,X2),X5) != X3
| ? [X10] :
( ? [X11] :
( ssList(X11)
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& leq(X12,X10) ) )
& app(cons(X10,nil),X11) = X5 )
& ssItem(X10) )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( leq(X6,X8)
& app(cons(X8,nil),X9) = X2
& ssList(X9) ) )
& ssList(X7) )
& ssItem(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ( nil = X0
& nil = X1 )
| ( segmentP(X1,X0)
& neq(X0,nil) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ~ totalorderedP(X2)
| app(app(X4,X2),X5) != X3
| ? [X10] :
( ? [X11] :
( ssList(X11)
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& leq(X12,X10) ) )
& app(cons(X10,nil),X11) = X5 )
& ssItem(X10) )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( leq(X6,X8)
& app(cons(X8,nil),X9) = X2
& ssList(X9) ) )
& ssList(X7) )
& ssItem(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ( nil = X0
& nil = X1 )
| ( segmentP(X1,X0)
& neq(X0,nil) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1285,plain,
( ~ ssList(sK19)
| spl24_3 ),
inference(subsumption_resolution,[],[f1284,f250]) ).
fof(f250,plain,
ssList(sK20),
inference(cnf_transformation,[],[f128]) ).
fof(f1284,plain,
( ~ ssList(sK20)
| ~ ssList(sK19)
| spl24_3 ),
inference(subsumption_resolution,[],[f1283,f244]) ).
fof(f244,plain,
ssList(sK22),
inference(cnf_transformation,[],[f128]) ).
fof(f1283,plain,
( ~ ssList(sK22)
| ~ ssList(sK20)
| ~ ssList(sK19)
| spl24_3 ),
inference(subsumption_resolution,[],[f1282,f246]) ).
fof(f246,plain,
ssList(sK21),
inference(cnf_transformation,[],[f128]) ).
fof(f1282,plain,
( ~ ssList(sK21)
| ~ ssList(sK20)
| ~ ssList(sK19)
| ~ ssList(sK22)
| spl24_3 ),
inference(subsumption_resolution,[],[f1251,f306]) ).
fof(f306,plain,
( ~ segmentP(sK20,sK19)
| spl24_3 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl24_3
<=> segmentP(sK20,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).
fof(f1251,plain,
( segmentP(sK20,sK19)
| ~ ssList(sK21)
| ~ ssList(sK19)
| ~ ssList(sK22)
| ~ ssList(sK20) ),
inference(superposition,[],[f286,f245]) ).
fof(f245,plain,
app(app(sK21,sK19),sK22) = sK20,
inference(cnf_transformation,[],[f128]) ).
fof(f286,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| segmentP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 )
& ssList(X2) ) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f1246,plain,
( spl24_4
| spl24_1 ),
inference(avatar_split_clause,[],[f1237,f295,f308]) ).
fof(f308,plain,
( spl24_4
<=> neq(sK19,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).
fof(f295,plain,
( spl24_1
<=> nil = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f1237,plain,
( neq(sK19,nil)
| spl24_1 ),
inference(unit_resulting_resolution,[],[f194,f253,f297,f204]) ).
fof(f204,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f297,plain,
( nil != sK19
| spl24_1 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f194,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f312,plain,
( spl24_2
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f248,f295,f299]) ).
fof(f299,plain,
( spl24_2
<=> nil = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f248,plain,
( nil != sK19
| nil = sK20 ),
inference(cnf_transformation,[],[f128]) ).
fof(f311,plain,
( ~ spl24_3
| ~ spl24_4 ),
inference(avatar_split_clause,[],[f278,f308,f304]) ).
fof(f278,plain,
( ~ neq(sK19,nil)
| ~ segmentP(sK20,sK19) ),
inference(definition_unfolding,[],[f247,f252,f251,f252]) ).
fof(f251,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f128]) ).
fof(f252,plain,
sK17 = sK19,
inference(cnf_transformation,[],[f128]) ).
fof(f247,plain,
( ~ neq(sK17,nil)
| ~ segmentP(sK18,sK17) ),
inference(cnf_transformation,[],[f128]) ).
fof(f302,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f277,f299,f295]) ).
fof(f277,plain,
( nil != sK20
| nil != sK19 ),
inference(definition_unfolding,[],[f249,f252,f251]) ).
fof(f249,plain,
( nil != sK17
| nil != sK18 ),
inference(cnf_transformation,[],[f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC118+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n013.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 18:14:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.57 % (2274)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.58 % (2290)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)
% 0.21/0.58 % (2282)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)
% 0.21/0.59 % (2280)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)
% 0.21/0.59 % (2275)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)
% 0.21/0.60 % (2286)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)
% 0.21/0.60 % (2285)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)
% 0.21/0.60 % (2284)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)
% 1.77/0.61 % (2279)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)
% 1.77/0.61 % (2275)Instruction limit reached!
% 1.77/0.61 % (2275)------------------------------
% 1.77/0.61 % (2275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (2283)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)
% 1.77/0.62 % (2278)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)
% 1.77/0.62 % (2296)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)
% 1.77/0.62 % (2297)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)
% 1.77/0.62 % (2291)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.77/0.62 % (2303)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)
% 1.77/0.62 % (2275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62 % (2275)Termination reason: Unknown
% 1.77/0.62 % (2275)Termination phase: Saturation
% 1.77/0.62
% 1.77/0.62 % (2275)Memory used [KB]: 1918
% 1.77/0.62 % (2275)Time elapsed: 0.010 s
% 1.77/0.62 % (2275)Instructions burned: 13 (million)
% 1.77/0.62 % (2275)------------------------------
% 1.77/0.62 % (2275)------------------------------
% 1.77/0.62 % (2276)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)
% 1.77/0.62 % (2276)Instruction limit reached!
% 1.77/0.62 % (2276)------------------------------
% 1.77/0.62 % (2276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (2285)Instruction limit reached!
% 2.09/0.63 % (2285)------------------------------
% 2.09/0.63 % (2285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (2291)Instruction limit reached!
% 2.09/0.63 % (2291)------------------------------
% 2.09/0.63 % (2291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (2291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (2291)Termination reason: Unknown
% 2.09/0.63 % (2291)Termination phase: Naming
% 2.09/0.63
% 2.09/0.63 % (2291)Memory used [KB]: 1535
% 2.09/0.63 % (2291)Time elapsed: 0.005 s
% 2.09/0.63 % (2291)Instructions burned: 3 (million)
% 2.09/0.63 % (2291)------------------------------
% 2.09/0.63 % (2291)------------------------------
% 2.09/0.63 % (2288)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)
% 2.09/0.63 % (2288)Instruction limit reached!
% 2.09/0.63 % (2288)------------------------------
% 2.09/0.63 % (2288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (2288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (2288)Termination reason: Unknown
% 2.09/0.63 % (2288)Termination phase: Preprocessing 3
% 2.09/0.63
% 2.09/0.63 % (2288)Memory used [KB]: 1535
% 2.09/0.63 % (2288)Time elapsed: 0.003 s
% 2.09/0.63 % (2288)Instructions burned: 3 (million)
% 2.09/0.63 % (2288)------------------------------
% 2.09/0.63 % (2288)------------------------------
% 2.09/0.63 % (2277)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)
% 2.09/0.63 % (2284)Instruction limit reached!
% 2.09/0.63 % (2284)------------------------------
% 2.09/0.63 % (2284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (2284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (2284)Termination reason: Unknown
% 2.09/0.63 % (2284)Termination phase: Saturation
% 2.09/0.63
% 2.09/0.63 % (2284)Memory used [KB]: 6268
% 2.09/0.63 % (2284)Time elapsed: 0.193 s
% 2.09/0.63 % (2284)Instructions burned: 12 (million)
% 2.09/0.63 % (2284)------------------------------
% 2.09/0.63 % (2284)------------------------------
% 2.09/0.64 % (2295)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)
% 2.09/0.64 % (2281)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)
% 2.09/0.64 % (2294)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)
% 2.09/0.64 % (2276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (2276)Termination reason: Unknown
% 2.09/0.64 % (2276)Termination phase: Naming
% 2.09/0.64
% 2.09/0.64 % (2276)Memory used [KB]: 1535
% 2.09/0.64 % (2276)Time elapsed: 0.003 s
% 2.09/0.64 % (2276)Instructions burned: 3 (million)
% 2.09/0.64 % (2276)------------------------------
% 2.09/0.64 % (2276)------------------------------
% 2.09/0.64 % (2289)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)
% 2.09/0.65 % (2293)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)
% 2.09/0.65 % (2300)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)
% 2.09/0.65 % (2285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (2285)Termination reason: Unknown
% 2.09/0.65 % (2285)Termination phase: Saturation
% 2.09/0.65
% 2.09/0.65 % (2285)Memory used [KB]: 6140
% 2.09/0.65 % (2285)Time elapsed: 0.007 s
% 2.09/0.65 % (2285)Instructions burned: 7 (million)
% 2.09/0.65 % (2285)------------------------------
% 2.09/0.65 % (2285)------------------------------
% 2.09/0.65 % (2289)Instruction limit reached!
% 2.09/0.65 % (2289)------------------------------
% 2.09/0.65 % (2289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (2289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (2289)Termination reason: Unknown
% 2.09/0.65 % (2289)Termination phase: Property scanning
% 2.09/0.65
% 2.09/0.65 % (2289)Memory used [KB]: 1791
% 2.09/0.65 % (2289)Time elapsed: 0.007 s
% 2.09/0.65 % (2289)Instructions burned: 8 (million)
% 2.09/0.65 % (2289)------------------------------
% 2.09/0.65 % (2289)------------------------------
% 2.09/0.65 % (2278)Instruction limit reached!
% 2.09/0.65 % (2278)------------------------------
% 2.09/0.65 % (2278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (2278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (2278)Termination reason: Unknown
% 2.09/0.65 % (2278)Termination phase: Saturation
% 2.09/0.65
% 2.09/0.65 % (2278)Memory used [KB]: 6268
% 2.09/0.65 % (2278)Time elapsed: 0.214 s
% 2.09/0.65 % (2278)Instructions burned: 14 (million)
% 2.09/0.65 % (2278)------------------------------
% 2.09/0.65 % (2278)------------------------------
% 2.09/0.65 % (2292)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)
% 2.09/0.65 % (2286)Instruction limit reached!
% 2.09/0.65 % (2286)------------------------------
% 2.09/0.65 % (2286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (2292)Instruction limit reached!
% 2.09/0.65 % (2292)------------------------------
% 2.09/0.65 % (2292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (2292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (2286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (2292)Termination reason: Unknown
% 2.09/0.65 % (2286)Termination reason: Unknown
% 2.09/0.65 % (2292)Termination phase: Preprocessing 1
% 2.09/0.65
% 2.09/0.65 % (2286)Termination phase: Saturation
% 2.09/0.65
% 2.09/0.65 % (2292)Memory used [KB]: 1407
% 2.09/0.65 % (2286)Memory used [KB]: 2046
% 2.09/0.65 % (2292)Time elapsed: 0.004 s
% 2.09/0.65 % (2286)Time elapsed: 0.221 s
% 2.09/0.65 % (2292)Instructions burned: 2 (million)
% 2.09/0.65 % (2286)Instructions burned: 17 (million)
% 2.09/0.65 % (2292)------------------------------
% 2.09/0.65 % (2292)------------------------------
% 2.09/0.65 % (2286)------------------------------
% 2.09/0.65 % (2286)------------------------------
% 2.09/0.65 % (2279)Instruction limit reached!
% 2.09/0.65 % (2279)------------------------------
% 2.09/0.65 % (2279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (2279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (2279)Termination reason: Unknown
% 2.09/0.65 % (2279)Termination phase: Saturation
% 2.09/0.65
% 2.09/0.65 % (2279)Memory used [KB]: 1791
% 2.09/0.65 % (2279)Time elapsed: 0.208 s
% 2.09/0.65 % (2279)Instructions burned: 16 (million)
% 2.09/0.65 % (2279)------------------------------
% 2.09/0.65 % (2279)------------------------------
% 2.09/0.65 % (2302)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)
% 2.09/0.66 % (2301)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)
% 2.09/0.66 % (2299)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)
% 2.09/0.66 % (2283)Instruction limit reached!
% 2.09/0.66 % (2283)------------------------------
% 2.09/0.66 % (2283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (2283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (2283)Termination reason: Unknown
% 2.09/0.66 % (2283)Termination phase: Saturation
% 2.09/0.66
% 2.09/0.66 % (2283)Memory used [KB]: 6780
% 2.09/0.66 % (2283)Time elapsed: 0.217 s
% 2.09/0.66 % (2283)Instructions burned: 33 (million)
% 2.09/0.66 % (2283)------------------------------
% 2.09/0.66 % (2283)------------------------------
% 2.09/0.66 % (2282)First to succeed.
% 2.09/0.66 % (2302)Instruction limit reached!
% 2.09/0.66 % (2302)------------------------------
% 2.09/0.66 % (2302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (2302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (2302)Termination reason: Unknown
% 2.09/0.66 % (2302)Termination phase: Function definition elimination
% 2.09/0.66
% 2.09/0.66 % (2302)Memory used [KB]: 1791
% 2.09/0.66 % (2302)Time elapsed: 0.007 s
% 2.09/0.66 % (2302)Instructions burned: 8 (million)
% 2.09/0.66 % (2302)------------------------------
% 2.09/0.66 % (2302)------------------------------
% 2.09/0.66 % (2287)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)
% 2.39/0.66 % (2298)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)
% 2.39/0.68 % (2282)Refutation found. Thanks to Tanya!
% 2.39/0.68 % SZS status Theorem for theBenchmark
% 2.39/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.68 % (2282)------------------------------
% 2.39/0.68 % (2282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68 % (2282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68 % (2282)Termination reason: Refutation
% 2.39/0.68
% 2.39/0.68 % (2282)Memory used [KB]: 6908
% 2.39/0.68 % (2282)Time elapsed: 0.217 s
% 2.39/0.68 % (2282)Instructions burned: 35 (million)
% 2.39/0.68 % (2282)------------------------------
% 2.39/0.68 % (2282)------------------------------
% 2.39/0.68 % (2273)Success in time 0.313 s
%------------------------------------------------------------------------------