TSTP Solution File: SWC404-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC404-1 : 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_sat --cores 0 -t %d %s
% Computer : n003.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 18:43:40 EDT 2022
% Result : Unsatisfiable 2.17s 0.66s
% Output : Refutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 59 ( 9 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 55 ( 28 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1129,plain,
$false,
inference(subsumption_resolution,[],[f1128,f200]) ).
fof(f200,axiom,
~ memberP(sk2,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f1128,plain,
memberP(sk2,sk7),
inference(subsumption_resolution,[],[f1124,f193]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f1124,plain,
( ~ ssList(sk6)
| memberP(sk2,sk7) ),
inference(superposition,[],[f996,f236]) ).
fof(f236,plain,
sk2 = app(sF0,sk6),
inference(backward_demodulation,[],[f235,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f235,plain,
sk4 = app(sF0,sk6),
inference(forward_demodulation,[],[f227,f228]) ).
fof(f228,plain,
sk4 = sF1,
inference(definition_folding,[],[f194,f227,f226]) ).
fof(f226,plain,
app(sk5,sk3) = sF0,
introduced(function_definition,[]) ).
fof(f194,axiom,
sk4 = app(app(sk5,sk3),sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f227,plain,
sF1 = app(sF0,sk6),
introduced(function_definition,[]) ).
fof(f996,plain,
! [X1] :
( memberP(app(sF0,X1),sk7)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f995,f198]) ).
fof(f198,axiom,
ssItem(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f995,plain,
! [X1] :
( memberP(app(sF0,X1),sk7)
| ~ ssItem(sk7)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f994,f369]) ).
fof(f369,plain,
ssList(sF0),
inference(subsumption_resolution,[],[f368,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f368,plain,
( ~ ssList(sk1)
| ssList(sF0) ),
inference(subsumption_resolution,[],[f364,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f364,plain,
( ~ ssList(sk5)
| ~ ssList(sk1)
| ssList(sF0) ),
inference(superposition,[],[f85,f242]) ).
fof(f242,plain,
app(sk5,sk1) = sF0,
inference(backward_demodulation,[],[f226,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f994,plain,
! [X1] :
( ~ ssList(sF0)
| ~ ssItem(sk7)
| memberP(app(sF0,X1),sk7)
| ~ ssList(X1) ),
inference(resolution,[],[f991,f140]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X2)
| memberP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f991,plain,
memberP(sF0,sk7),
inference(subsumption_resolution,[],[f989,f192]) ).
fof(f989,plain,
( memberP(sF0,sk7)
| ~ ssList(sk5) ),
inference(superposition,[],[f982,f242]) ).
fof(f982,plain,
! [X0] :
( memberP(app(X0,sk1),sk7)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f981,f186]) ).
fof(f981,plain,
! [X0] :
( memberP(app(X0,sk1),sk7)
| ~ ssList(X0)
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f973,f198]) ).
fof(f973,plain,
! [X0] :
( ~ ssItem(sk7)
| ~ ssList(sk1)
| memberP(app(X0,sk1),sk7)
| ~ ssList(X0) ),
inference(resolution,[],[f141,f199]) ).
fof(f199,axiom,
memberP(sk1,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC404-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n003.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
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:54:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (20060)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.51 % (20086)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.51 % (20069)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (20064)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (20076)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.53 % (20067)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (20081)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.31/0.53 % (20057)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.31/0.53 % (20073)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.31/0.53 % (20056)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.53 % (20078)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.31/0.53 % (20075)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/0.54 % (20059)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.54 % (20055)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.31/0.54 % (20058)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.54 % (20082)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.31/0.54 % (20071)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.31/0.54 % (20083)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.31/0.54 % (20063)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.54 % (20063)Instruction limit reached!
% 1.31/0.54 % (20063)------------------------------
% 1.31/0.54 % (20063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54 % (20063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54 % (20063)Termination reason: Unknown
% 1.31/0.54 % (20063)Termination phase: Equality resolution with deletion
% 1.31/0.54
% 1.31/0.54 % (20063)Memory used [KB]: 1023
% 1.31/0.54 % (20063)Time elapsed: 0.002 s
% 1.31/0.54 % (20063)Instructions burned: 2 (million)
% 1.31/0.54 % (20063)------------------------------
% 1.31/0.54 % (20063)------------------------------
% 1.31/0.54 % (20085)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.31/0.54 % (20084)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.31/0.55 % (20074)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.55 % (20068)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.50/0.55 % (20061)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.55 % (20066)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.55 % (20079)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.50/0.55 % (20070)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.50/0.56 % (20077)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.50/0.56 % (20062)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.57 % (20056)Refutation not found, incomplete strategy% (20056)------------------------------
% 1.50/0.57 % (20056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (20056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (20056)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.57
% 1.50/0.57 % (20056)Memory used [KB]: 5884
% 1.50/0.57 % (20056)Time elapsed: 0.153 s
% 1.50/0.57 % (20056)Instructions burned: 16 (million)
% 1.50/0.57 % (20056)------------------------------
% 1.50/0.57 % (20056)------------------------------
% 1.50/0.57 % (20072)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.57 TRYING [1]
% 1.50/0.57 TRYING [2]
% 1.50/0.58 TRYING [1]
% 1.50/0.58 TRYING [1]
% 1.50/0.58 TRYING [2]
% 1.50/0.58 TRYING [2]
% 1.50/0.58 % (20062)Instruction limit reached!
% 1.50/0.58 % (20062)------------------------------
% 1.50/0.58 % (20062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (20062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (20062)Termination reason: Unknown
% 1.50/0.58 % (20062)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (20062)Memory used [KB]: 5756
% 1.50/0.59 % (20062)Time elapsed: 0.173 s
% 1.50/0.59 % (20062)Instructions burned: 8 (million)
% 1.50/0.59 % (20062)------------------------------
% 1.50/0.59 % (20062)------------------------------
% 1.50/0.59 % (20060)Instruction limit reached!
% 1.50/0.59 % (20060)------------------------------
% 1.50/0.59 % (20060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (20060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (20060)Termination reason: Unknown
% 1.50/0.59 % (20060)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (20060)Memory used [KB]: 6268
% 1.50/0.59 % (20060)Time elapsed: 0.142 s
% 1.50/0.59 % (20060)Instructions burned: 49 (million)
% 1.50/0.59 % (20060)------------------------------
% 1.50/0.59 % (20060)------------------------------
% 1.50/0.59 % (20057)Instruction limit reached!
% 1.50/0.59 % (20057)------------------------------
% 1.50/0.59 % (20057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (20057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (20057)Termination reason: Unknown
% 1.50/0.59 % (20057)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (20057)Memory used [KB]: 1535
% 1.50/0.59 % (20057)Time elapsed: 0.184 s
% 1.50/0.59 % (20057)Instructions burned: 37 (million)
% 1.50/0.59 % (20057)------------------------------
% 1.50/0.59 % (20057)------------------------------
% 1.50/0.60 % (20064)Instruction limit reached!
% 1.50/0.60 % (20064)------------------------------
% 1.50/0.60 % (20064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.60 TRYING [3]
% 1.50/0.61 % (20061)Instruction limit reached!
% 1.50/0.61 % (20061)------------------------------
% 1.50/0.61 % (20061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61 % (20061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (20061)Termination reason: Unknown
% 1.50/0.61 % (20061)Termination phase: Finite model building constraint generation
% 1.50/0.61
% 1.50/0.61 % (20061)Memory used [KB]: 7036
% 1.50/0.61 % (20061)Time elapsed: 0.143 s
% 1.50/0.61 % (20061)Instructions burned: 52 (million)
% 1.50/0.61 % (20061)------------------------------
% 1.50/0.61 % (20061)------------------------------
% 1.50/0.61 % (20064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (20064)Termination reason: Unknown
% 1.50/0.61 % (20064)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (20064)Memory used [KB]: 2174
% 1.50/0.61 % (20064)Time elapsed: 0.187 s
% 1.50/0.61 % (20064)Instructions burned: 51 (million)
% 1.50/0.61 % (20064)------------------------------
% 1.50/0.61 % (20064)------------------------------
% 1.50/0.62 TRYING [3]
% 1.50/0.62 % (20073)Instruction limit reached!
% 1.50/0.62 % (20073)------------------------------
% 1.50/0.62 % (20073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62 % (20073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62 % (20073)Termination reason: Unknown
% 1.50/0.62 % (20073)Termination phase: Finite model building constraint generation
% 1.50/0.62
% 1.50/0.62 % (20073)Memory used [KB]: 7931
% 1.50/0.62 % (20073)Time elapsed: 0.211 s
% 1.50/0.62 % (20073)Instructions burned: 59 (million)
% 1.50/0.62 % (20073)------------------------------
% 1.50/0.62 % (20073)------------------------------
% 1.50/0.62 % (20059)Instruction limit reached!
% 1.50/0.62 % (20059)------------------------------
% 1.50/0.62 % (20059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62 % (20059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62 % (20059)Termination reason: Unknown
% 1.50/0.62 % (20059)Termination phase: Saturation
% 1.50/0.62
% 1.50/0.62 % (20059)Memory used [KB]: 6524
% 1.50/0.62 % (20059)Time elapsed: 0.213 s
% 1.50/0.62 % (20059)Instructions burned: 51 (million)
% 1.50/0.62 % (20059)------------------------------
% 1.50/0.62 % (20059)------------------------------
% 1.50/0.62 % (20058)Instruction limit reached!
% 1.50/0.62 % (20058)------------------------------
% 1.50/0.62 % (20058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62 % (20058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62 % (20058)Termination reason: Unknown
% 1.50/0.62 % (20058)Termination phase: Saturation
% 1.50/0.62
% 1.50/0.62 % (20058)Memory used [KB]: 6652
% 1.50/0.62 % (20058)Time elapsed: 0.215 s
% 1.50/0.62 % (20058)Instructions burned: 52 (million)
% 1.50/0.62 % (20058)------------------------------
% 1.50/0.62 % (20058)------------------------------
% 2.17/0.65 % (20084)First to succeed.
% 2.17/0.65 % (20066)Instruction limit reached!
% 2.17/0.65 % (20066)------------------------------
% 2.17/0.65 % (20066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (20066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66 % (20084)Refutation found. Thanks to Tanya!
% 2.17/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.17/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.17/0.66 % (20084)------------------------------
% 2.17/0.66 % (20084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66 % (20084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66 % (20084)Termination reason: Refutation
% 2.17/0.66
% 2.17/0.66 % (20084)Memory used [KB]: 2046
% 2.17/0.66 % (20084)Time elapsed: 0.246 s
% 2.17/0.66 % (20084)Instructions burned: 53 (million)
% 2.17/0.66 % (20084)------------------------------
% 2.17/0.66 % (20084)------------------------------
% 2.17/0.66 % (20051)Success in time 0.294 s
%------------------------------------------------------------------------------