TSTP Solution File: DAT026_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT026_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n012.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 : Fri Sep 1 14:16:28 EDT 2023
% Result : Theorem 0.23s 0.61s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 83 ( 30 unt; 9 typ; 0 def)
% Number of atoms : 184 ( 44 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 190 ( 80 ~; 53 |; 42 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 324 ( 66 atm; 73 fun; 89 num; 96 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 7 usr; 10 con; 0-2 aty)
% Number of variables : 120 (; 102 !; 18 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_8,type,
sK0: collection ).
tff(func_def_9,type,
sK1: collection ).
tff(func_def_10,type,
sK2: $int ).
tff(func_def_11,type,
sK3: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f5843,plain,
$false,
inference(evaluation,[],[f5189]) ).
tff(f5189,plain,
~ $less($sum(1,-2),0),
inference(backward_demodulation,[],[f4075,f4931]) ).
tff(f4931,plain,
sK2 = -2,
inference(evaluation,[],[f4904]) ).
tff(f4904,plain,
$sum(sK2,0) = $uminus(2),
inference(superposition,[],[f4656,f53]) ).
tff(f53,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f13,f19]) ).
tff(f19,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_151,[]) ).
tff(f13,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f4656,plain,
! [X11: $int] : ( $sum(sK2,$sum(X11,2)) = X11 ),
inference(evaluation,[],[f4643]) ).
tff(f4643,plain,
! [X11: $int] : ( $sum(sK2,$sum(X11,2)) = $sum(X11,0) ),
inference(backward_demodulation,[],[f3949,f3960]) ).
tff(f3960,plain,
0 = sK3,
inference(resolution,[],[f3958,f210]) ).
tff(f210,plain,
( $less(sK3,0)
| ( 0 = sK3 ) ),
inference(resolution,[],[f16,f39]) ).
tff(f39,plain,
~ $less(0,sK3),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ~ $less(0,sK3)
& in(sK3,sK0)
& ( sK0 = add($sum(sK2,2),remove(sK2,sK1)) )
& in(sK2,sK1)
& ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f27,f29,f28]) ).
tff(f28,plain,
( ? [X0: collection,X1: collection,X2: $int] :
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X0) )
& ( add($sum(X2,2),remove(X2,X1)) = X0 )
& in(X2,X1)
& ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,X1) ) )
=> ( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,sK0) )
& ( sK0 = add($sum(sK2,2),remove(sK2,sK1)) )
& in(sK2,sK1)
& ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f29,plain,
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,sK0) )
=> ( ~ $less(0,sK3)
& in(sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
? [X0: collection,X1: collection,X2: $int] :
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X0) )
& ( add($sum(X2,2),remove(X2,X1)) = X0 )
& in(X2,X1)
& ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,X1) ) ),
inference(rectify,[],[f26]) ).
tff(f26,plain,
? [X0: collection,X1: collection,X2: $int] :
( ? [X4: $int] :
( ~ $less(0,X4)
& in(X4,X0) )
& ( add($sum(X2,2),remove(X2,X1)) = X0 )
& in(X2,X1)
& ! [X3: $int] :
( $less(0,X3)
| ~ in(X3,X1) ) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
? [X0: collection,X1: collection,X2: $int] :
( ? [X4: $int] :
( ~ $less(0,X4)
& in(X4,X0) )
& ( add($sum(X2,2),remove(X2,X1)) = X0 )
& in(X2,X1)
& ! [X3: $int] :
( $less(0,X3)
| ~ in(X3,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ! [X0: collection,X1: collection,X2: $int] :
( ( ( add($sum(X2,2),remove(X2,X1)) = X0 )
& in(X2,X1)
& ! [X3: $int] :
( in(X3,X1)
=> $less(0,X3) ) )
=> ! [X4: $int] :
( in(X4,X0)
=> $less(0,X4) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: collection,X1: collection,X2: $int] :
( ( ( add($sum(X2,2),remove(X2,X1)) = X0 )
& in(X2,X1)
& ! [X3: $int] :
( in(X3,X1)
=> $greater(X3,0) ) )
=> ! [X4: $int] :
( in(X4,X0)
=> $greater(X4,0) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: collection,X1: collection,X2: $int] :
( ( ( add($sum(X2,2),remove(X2,X1)) = X0 )
& in(X2,X1)
& ! [X3: $int] :
( in(X3,X1)
=> $greater(X3,0) ) )
=> ! [X4: $int] :
( in(X4,X0)
=> $greater(X4,0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WkPGb3UioY/Vampire---4.8_8589',co1) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_147,[]) ).
tff(f3958,plain,
~ $less(sK3,0),
inference(evaluation,[],[f3922]) ).
tff(f3922,plain,
( ~ $less(sK3,0)
| ~ $less(-1,2) ),
inference(superposition,[],[f1275,f3893]) ).
tff(f3893,plain,
sK3 = $sum(2,sK2),
inference(resolution,[],[f3891,f38]) ).
tff(f38,plain,
in(sK3,sK0),
inference(cnf_transformation,[],[f30]) ).
tff(f3891,plain,
( ~ in(sK3,sK0)
| ( sK3 = $sum(2,sK2) ) ),
inference(resolution,[],[f1016,f50]) ).
tff(f50,plain,
~ in(sK3,sK1),
inference(resolution,[],[f35,f39]) ).
tff(f35,plain,
! [X4: $int] :
( $less(0,X4)
| ~ in(X4,sK1) ),
inference(cnf_transformation,[],[f30]) ).
tff(f1016,plain,
! [X1: $int] :
( in(X1,sK1)
| ( $sum(2,sK2) = X1 )
| ~ in(X1,sK0) ),
inference(resolution,[],[f851,f44]) ).
tff(f44,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,remove(X2,X1))
| in(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(flattening,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 != X2 )
& in(X0,X1) )
<=> in(X0,remove(X2,X1)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X8: $int,X9: collection,X10: $int] :
( ( ( X8 != X10 )
& in(X8,X9) )
<=> in(X8,remove(X10,X9)) ),
file('/export/starexec/sandbox2/tmp/tmp.WkPGb3UioY/Vampire---4.8_8589',ax5) ).
tff(f851,plain,
! [X0: $int] :
( in(X0,remove(sK2,sK1))
| ~ in(X0,sK0)
| ( $sum(2,sK2) = X0 ) ),
inference(superposition,[],[f48,f49]) ).
tff(f49,plain,
sK0 = add($sum(2,sK2),remove(sK2,sK1)),
inference(forward_demodulation,[],[f37,f9]) ).
tff(f9,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f37,plain,
sK0 = add($sum(sK2,2),remove(sK2,sK1)),
inference(cnf_transformation,[],[f30]) ).
tff(f48,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,add(X2,X1))
| in(X0,X1)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(flattening,[],[f33]) ).
tff(f33,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1) )
<=> in(X0,add(X2,X1)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: $int,X6: collection,X7: $int] :
( ( ( X5 = X7 )
| in(X5,X6) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox2/tmp/tmp.WkPGb3UioY/Vampire---4.8_8589',ax4) ).
tff(f1275,plain,
! [X0: $int] :
( ~ $less($sum(X0,sK2),0)
| ~ $less(-1,X0) ),
inference(resolution,[],[f1260,f17]) ).
tff(f17,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f1260,plain,
! [X0: $int] :
( ~ $less($sum(-1,sK2),X0)
| ~ $less(X0,0) ),
inference(resolution,[],[f1255,f15]) ).
tff(f15,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_146,[]) ).
tff(f1255,plain,
~ $less($sum(-1,sK2),0),
inference(resolution,[],[f1249,f36]) ).
tff(f36,plain,
in(sK2,sK1),
inference(cnf_transformation,[],[f30]) ).
tff(f1249,plain,
! [X21: $int] :
( ~ in(X21,sK1)
| ~ $less($sum(-1,X21),0) ),
inference(evaluation,[],[f1236]) ).
tff(f1236,plain,
! [X21: $int] :
( ~ in(X21,sK1)
| ~ $less($sum($uminus(1),X21),0) ),
inference(superposition,[],[f80,f565]) ).
tff(f565,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(evaluation,[],[f541]) ).
tff(f541,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0,X3) ),
inference(superposition,[],[f10,f13]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_139,[]) ).
tff(f80,plain,
! [X0: $int] :
( ~ in($sum(1,X0),sK1)
| ~ $less(X0,0) ),
inference(superposition,[],[f73,f9]) ).
tff(f73,plain,
! [X0: $int] :
( ~ in($sum(X0,1),sK1)
| ~ $less(X0,0) ),
inference(resolution,[],[f20,f35]) ).
tff(f20,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_164,[]) ).
tff(f3949,plain,
! [X11: $int] : ( $sum(sK2,$sum(X11,2)) = $sum(X11,sK3) ),
inference(superposition,[],[f549,f3893]) ).
tff(f549,plain,
! [X8: $int,X9: $int,X7: $int] : ( $sum(X7,$sum(X8,X9)) = $sum(X9,$sum(X7,X8)) ),
inference(superposition,[],[f10,f9]) ).
tff(f4075,plain,
~ $less($sum(1,sK2),0),
inference(backward_demodulation,[],[f1447,f3960]) ).
tff(f1447,plain,
~ $less($sum(1,sK2),sK3),
inference(resolution,[],[f1319,f36]) ).
tff(f1319,plain,
! [X2: $int] :
( ~ in(X2,sK1)
| ~ $less($sum(1,X2),sK3) ),
inference(evaluation,[],[f1316]) ).
tff(f1316,plain,
! [X2: $int] :
( ~ in(X2,sK1)
| ~ $less($sum($uminus(-1),X2),sK3) ),
inference(superposition,[],[f1265,f565]) ).
tff(f1265,plain,
! [X2: $int] :
( ~ in($sum(-1,X2),sK1)
| ~ $less(X2,sK3) ),
inference(resolution,[],[f1248,f35]) ).
tff(f1248,plain,
! [X22: $int] :
( ~ $less(0,$sum(-1,X22))
| ~ $less(X22,sK3) ),
inference(evaluation,[],[f1237]) ).
tff(f1237,plain,
! [X22: $int] :
( ~ $less(X22,sK3)
| ~ $less(0,$sum($uminus(1),X22)) ),
inference(superposition,[],[f241,f565]) ).
tff(f241,plain,
! [X3: $int] :
( ~ $less($sum(1,X3),sK3)
| ~ $less(0,X3) ),
inference(resolution,[],[f149,f70]) ).
tff(f70,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f65,f9]) ).
tff(f65,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f18,f14]) ).
tff(f14,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_145,[]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f149,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ~ $less(X1,sK3)
| ~ $less(X0,X1) ),
inference(resolution,[],[f145,f15]) ).
tff(f145,plain,
! [X12: $int] :
( ~ $less(X12,sK3)
| ~ $less(0,X12) ),
inference(resolution,[],[f15,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : DAT026_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n012.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 30 14:31:53 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.41 % (8876)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.41 % (8911)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.41 % (8911)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.41 % (8911)Terminated due to inappropriate strategy.
% 0.23/0.41 % (8911)------------------------------
% 0.23/0.41 % (8911)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.41 % (8911)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.41 % (8911)Termination reason: Inappropriate
% 0.23/0.41
% 0.23/0.41 % (8913)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.41 % (8911)Memory used [KB]: 767
% 0.23/0.41 % (8911)Time elapsed: 0.002 s
% 0.23/0.41 % (8911)------------------------------
% 0.23/0.41 % (8911)------------------------------
% 0.23/0.41 % (8915)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.42 % (8920)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.23/0.42 % (8925)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.23/0.42 % (8924)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.23/0.42 % (8919)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.42 % (8913)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.42 % (8913)Terminated due to inappropriate strategy.
% 0.23/0.42 % (8913)------------------------------
% 0.23/0.42 % (8913)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.42 % (8913)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.42 % (8913)Termination reason: Inappropriate
% 0.23/0.42
% 0.23/0.42 % (8913)Memory used [KB]: 767
% 0.23/0.42 % (8913)Time elapsed: 0.003 s
% 0.23/0.42 % (8913)------------------------------
% 0.23/0.42 % (8913)------------------------------
% 0.23/0.42 % (8919)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.42 % (8919)Terminated due to inappropriate strategy.
% 0.23/0.42 % (8919)------------------------------
% 0.23/0.42 % (8919)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.42 % (8919)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.42 % (8919)Termination reason: Inappropriate
% 0.23/0.42
% 0.23/0.42 % (8919)Memory used [KB]: 767
% 0.23/0.42 % (8919)Time elapsed: 0.003 s
% 0.23/0.42 % (8919)------------------------------
% 0.23/0.42 % (8919)------------------------------
% 0.23/0.42 % (8927)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.23/0.42 % (8927)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.42 % (8927)Terminated due to inappropriate strategy.
% 0.23/0.42 % (8927)------------------------------
% 0.23/0.42 % (8927)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.42 % (8927)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.42 % (8927)Termination reason: Inappropriate
% 0.23/0.42
% 0.23/0.42 % (8927)Memory used [KB]: 767
% 0.23/0.42 % (8927)Time elapsed: 0.001 s
% 0.23/0.42 % (8927)------------------------------
% 0.23/0.42 % (8927)------------------------------
% 0.23/0.42 % (8928)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.23/0.42 % (8932)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 0.23/0.43 % (8930)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.23/0.60 % (8924)First to succeed.
% 0.23/0.61 % (8924)Refutation found. Thanks to Tanya!
% 0.23/0.61 % SZS status Theorem for Vampire---4
% 0.23/0.61 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.61 % (8924)------------------------------
% 0.23/0.61 % (8924)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.61 % (8924)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.61 % (8924)Termination reason: Refutation
% 0.23/0.61
% 0.23/0.61 % (8924)Memory used [KB]: 3965
% 0.23/0.61 % (8924)Time elapsed: 0.193 s
% 0.23/0.61 % (8924)------------------------------
% 0.23/0.61 % (8924)------------------------------
% 0.23/0.61 % (8876)Success in time 0.227 s
% 0.23/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------