%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT106_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:47:19 AM UTC 2026
% Result : Theorem 4.66s 1.05s
% Output : Refutation 4.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 138 ( 42 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 170 ( 67 ~; 63 |; 34 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 148 ( 37 atm; 19 fun; 52 num; 40 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 8 usr; 8 con; 0-2 aty)
% Number of variables : 90 ( 80 !; 10 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_10,type,
sK0: ( list * $int ) > list ).
tff(func_def_11,type,
sK1: ( list * $int ) > $int ).
tff(func_def_13,type,
'$inst2': $int ).
tff(func_def_15,type,
'$inst3': $int ).
tff(pred_def_1,type,
inRange: ( $int * list ) > $o ).
tff(f1,axiom,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
tff(f4,axiom,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4) ).
tff(f5,axiom,
! [X0: $int,X1: list] :
( inRange(X0,X1)
<=> ( ( X1 = nil )
| ? [X2: $int,X3: list] :
( $lesseq(0,X2)
& $less(X2,X0)
& inRange(X0,X3)
& ( X1 = cons(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inRange) ).
tff(f6,conjecture,
~ ! [X2: list,X1: list,X0: $int] :
( ( inRange(X0,X1)
& ( X2 = cons($difference(X0,2),X1) )
& $greater(X0,0) )
=> inRange(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
tff(f7,negated_conjecture,
~ ~ ! [X2: list,X1: list,X0: $int] :
( ( inRange(X0,X1)
& ( X2 = cons($difference(X0,2),X1) )
& $greater(X0,0) )
=> inRange(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
! [X1: list,X0: $int] :
( ( ? [X3: list,X2: $int] :
( $less(X2,X0)
& ( X1 = cons(X2,X3) )
& ~ $less(X2,0)
& inRange(X0,X3) )
| ( X1 = nil ) )
<=> inRange(X0,X1) ),
inference(theory_normalization,[],[f5]) ).
tff(f9,plain,
! [X2: list,X1: list,X0: $int] :
( ( inRange(X0,X1)
& ( cons($sum(X0,$uminus(2)),X1) = X2 )
& $less(0,X0) )
=> inRange(X0,X2) ),
inference(theory_normalization,[],[f7]) ).
tff(f22,plain,
! [X2: $int,X1: list,X0: list] :
( ( ( cons($sum(X2,$uminus(2)),X1) = X0 )
& inRange(X2,X1)
& $less(0,X2) )
=> inRange(X2,X0) ),
inference(rectify,[],[f9]) ).
tff(f24,plain,
! [X2: $int,X1: list,X0: list] :
( inRange(X2,X0)
| ( cons($sum(X2,$uminus(2)),X1) != X0 )
| ~ inRange(X2,X1)
| ~ $less(0,X2) ),
inference(ennf_transformation,[],[f22]) ).
tff(f25,plain,
! [X1: list,X0: list,X2: $int] :
( ~ inRange(X2,X1)
| ~ $less(0,X2)
| inRange(X2,X0)
| ( cons($sum(X2,$uminus(2)),X1) != X0 ) ),
inference(flattening,[],[f24]) ).
tff(f26,plain,
! [X0: list,X1: list,X2: $int] :
( ~ inRange(X2,X0)
| ~ $less(0,X2)
| inRange(X2,X1)
| ( cons($sum(X2,$uminus(2)),X0) != X1 ) ),
inference(rectify,[],[f25]) ).
tff(f27,plain,
! [X1: list,X0: $int] :
( ( ? [X3: list,X2: $int] :
( $less(X2,X0)
& ( X1 = cons(X2,X3) )
& ~ $less(X2,0)
& inRange(X0,X3) )
| ( X1 = nil )
| ~ inRange(X0,X1) )
& ( inRange(X0,X1)
| ( ! [X3: list,X2: $int] :
( ~ $less(X2,X0)
| ( cons(X2,X3) != X1 )
| $less(X2,0)
| ~ inRange(X0,X3) )
& ( nil != X1 ) ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f28,plain,
! [X1: list,X0: $int] :
( ( ? [X3: list,X2: $int] :
( $less(X2,X0)
& ( X1 = cons(X2,X3) )
& ~ $less(X2,0)
& inRange(X0,X3) )
| ( X1 = nil )
| ~ inRange(X0,X1) )
& ( inRange(X0,X1)
| ( ! [X3: list,X2: $int] :
( ~ $less(X2,X0)
| ( cons(X2,X3) != X1 )
| $less(X2,0)
| ~ inRange(X0,X3) )
& ( nil != X1 ) ) ) ),
inference(flattening,[],[f27]) ).
tff(f29,plain,
! [X0: list,X1: $int] :
( ( ? [X2: list,X3: $int] :
( $less(X3,X1)
& ( cons(X3,X2) = X0 )
& ~ $less(X3,0)
& inRange(X1,X2) )
| ( nil = X0 )
| ~ inRange(X1,X0) )
& ( inRange(X1,X0)
| ( ! [X4: list,X5: $int] :
( ~ $less(X5,X1)
| ( cons(X5,X4) != X0 )
| $less(X5,0)
| ~ inRange(X1,X4) )
& ( nil != X0 ) ) ) ),
inference(rectify,[],[f28]) ).
tff(f30,plain,
! [X0: list,X1: $int] :
( ( ( $less(sK1(X0,X1),X1)
& ( cons(sK1(X0,X1),sK0(X0,X1)) = X0 )
& ~ $less(sK1(X0,X1),0)
& inRange(X1,sK0(X0,X1)) )
| ( nil = X0 )
| ~ inRange(X1,X0) )
& ( inRange(X1,X0)
| ( ! [X4: list,X5: $int] :
( ~ $less(X5,X1)
| ( cons(X5,X4) != X0 )
| $less(X5,0)
| ~ inRange(X1,X4) )
& ( nil != X0 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f29]) ).
tff(f31,plain,
! [X2: $int,X0: list,X1: list] :
( ~ inRange(X2,X0)
| ~ $less(0,X2)
| inRange(X2,X1)
| ( cons($sum(X2,$uminus(2)),X0) != X1 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f32,plain,
! [X0: list,X1: $int] :
( inRange(X1,X0)
| ( nil != X0 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f35,plain,
! [X0: list,X1: $int] :
( ~ $less(sK1(X0,X1),0)
| ~ inRange(X1,X0)
| ( nil = X0 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f36,plain,
! [X0: list,X1: $int] :
( ( cons(sK1(X0,X1),sK0(X0,X1)) = X0 )
| ( nil = X0 )
| ~ inRange(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
tff(f38,plain,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f1]) ).
tff(f41,plain,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
inference(cnf_transformation,[],[f4]) ).
tff(f42,plain,
! [X2: $int,X0: list] :
( ~ $less(0,X2)
| ~ inRange(X2,X0)
| inRange(X2,cons($sum(X2,$uminus(2)),X0)) ),
inference(equality_resolution,[],[f31]) ).
tff(f44,plain,
! [X1: $int] : inRange(X1,nil),
inference(equality_resolution,[],[f32]) ).
tff(f45,plain,
! [X2: $int,X0: list] :
( inRange(X2,cons($sum(-2,X2),X0))
| ~ inRange(X2,X0)
| ~ $less(0,X2) ),
inference(evaluation,[],[f42]) ).
tff(f46,plain,
! [X0: list] :
( inRange(1,cons($sum(-2,1),X0))
| ~ inRange(1,X0)
| ~ $less(0,1) ),
inference(instantiation,[],[f45]) ).
tff(f47,plain,
! [X0: list] :
( ~ inRange(1,X0)
| inRange(1,cons($sum(-2,1),X0)) ),
inference(interpreted_simplification,[],[f46]) ).
tff(f48,plain,
! [X0: list] :
( inRange(1,cons(-1,X0))
| ~ inRange(1,X0) ),
inference(evaluation,[],[f47]) ).
tff(f101,plain,
! [X0: list,X1: $int] :
( ( head(X0) = sK1(X0,X1) )
| ( nil = X0 )
| ~ inRange(X1,X0) ),
inference(superposition,[],[f38,f36]) ).
tff(f149,plain,
! [X0: list,X1: $int] :
( ( nil = X0 )
| ~ inRange(X1,X0)
| ~ $less(head(X0),0)
| ~ inRange(X1,X0)
| ( nil = X0 ) ),
inference(superposition,[],[f35,f101]) ).
tff(f152,plain,
! [X0: list,X1: $int] :
( ~ $less(head(X0),0)
| ( nil = X0 )
| ~ inRange(X1,X0) ),
inference(duplicate_literal_removal,[],[f149]) ).
tff(f205,plain,
! [X2: $int,X0: $int,X1: list] :
( ~ inRange(X2,cons(X0,X1))
| ( cons(X0,X1) = nil )
| ~ $less(X0,0) ),
inference(superposition,[],[f152,f38]) ).
tff(f209,plain,
! [X2: $int,X0: $int,X1: list] :
( ~ inRange(X2,cons(X0,X1))
| ~ $less(X0,0) ),
inference(forward_subsumption_resolution,[],[f205,f41]) ).
tff(f225,plain,
! [X0: list] :
( ~ $less(-1,0)
| ~ inRange(1,X0) ),
inference(resolution,[],[f209,f48]) ).
tff(f230,plain,
! [X0: list] : ~ inRange(1,X0),
inference(evaluation,[],[f225]) ).
tff(f231,plain,
$false,
inference(resolution,[],[f230,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : DAT106_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 00:08:19 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.70/0.80 % (3921541)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.70/0.80 % (3921550)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3361726019:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.70/0.80 % (3921549)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1690387016:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.70/0.80 % (3921551)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1328945587:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.70/0.80 % (3921548)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1020740631:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.70/0.80 % (3921552)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3962075061:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.70/0.80 % (3921547)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1500600293:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.70/0.80 % (3921546)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=589356763:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.70/0.80 % (3921550)Instruction limit reached!
% 2.70/0.80 % (3921550)------------------------------
% 2.70/0.80 % (3921550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/0.80 % (3921550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.80 % (3921550)CaDiCaL version: 2.1.3
% 2.70/0.80 % (3921550)Termination reason: Instruction limit
% 2.70/0.80 % (3921550)Termination phase: Saturation
% 2.70/0.80 % (3921550)Time elapsed: 0.002 s
% 2.70/0.80 % (3921550)Peak memory usage: 88 MB
% 2.70/0.80 % (3921550)Instructions burned: 4 (million)
% 2.70/0.80 % (3921549)Instruction limit reached!
% 2.70/0.80 % (3921549)------------------------------
% 2.70/0.80 % (3921549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/0.80 % (3921549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.80 % (3921549)CaDiCaL version: 2.1.3
% 2.70/0.80 % (3921549)Termination reason: Instruction limit
% 2.70/0.80 % (3921549)Termination phase: Saturation
% 2.70/0.80 % (3921549)Time elapsed: 0.003 s
% 2.70/0.80 % (3921549)Peak memory usage: 88 MB
% 2.70/0.80 % (3921549)Instructions burned: 8 (million)
% 2.70/0.80 % (3921546)Refutation not found, incomplete strategy
% 2.70/0.80 % (3921546)------------------------------
% 2.70/0.80 % (3921546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/0.80 % (3921546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.80 % (3921546)CaDiCaL version: 2.1.3
% 2.70/0.80 % (3921546)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.80 % (3921546)Time elapsed: 0.020 s
% 2.70/0.80 % (3921546)Peak memory usage: 112 MB
% 2.70/0.80 % (3921546)Instructions burned: 12 (million)
% 2.70/0.80 % (3921552)Instruction limit reached!
% 2.70/0.80 % (3921552)------------------------------
% 2.70/0.80 % (3921552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/0.80 % (3921552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.80 % (3921552)CaDiCaL version: 2.1.3
% 2.70/0.80 % (3921552)Termination reason: Instruction limit
% 2.70/0.80 % (3921552)Termination phase: Saturation
% 2.70/0.80 % (3921552)Time elapsed: 0.027 s
% 2.70/0.80 % (3921552)Peak memory usage: 115 MB
% 2.70/0.80 % (3921552)Instructions burned: 33 (million)
% 2.70/0.80 % (3921551)Instruction limit reached!
% 2.70/0.80 % (3921551)------------------------------
% 2.70/0.80 % (3921551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/0.80 % (3921551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.80 % (3921551)CaDiCaL version: 2.1.3
% 2.70/0.80 % (3921551)Termination reason: Instruction limit
% 2.70/0.80 % (3921551)Termination phase: Saturation
% 2.70/0.80 % (3921551)Time elapsed: 0.027 s
% 2.70/0.80 % (3921551)Peak memory usage: 110 MB
% 2.70/0.80 % (3921551)Instructions burned: 51 (million)
% 2.70/0.80 % (3921547)Refutation not found, incomplete strategy
% 2.70/0.80 % (3921547)------------------------------
% 2.70/0.80 % (3921547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/0.80 % (3921547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.91 % (3921547)CaDiCaL version: 2.1.3
% 3.47/0.91 % (3921547)Termination reason: Refutation not found, incomplete strategy
% 3.47/0.91 % (3921547)Time elapsed: 0.081 s
% 3.47/0.91 % (3921547)Peak memory usage: 115 MB
% 3.47/0.91 % (3921547)Instructions burned: 215 (million)
% 3.47/0.91 % (3921548)Instruction limit reached!
% 3.47/0.91 % (3921548)------------------------------
% 3.47/0.91 % (3921548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.91 % (3921548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.91 % (3921548)CaDiCaL version: 2.1.3
% 3.47/0.91 % (3921548)Termination reason: Instruction limit
% 3.47/0.91 % (3921548)Termination phase: Saturation
% 3.47/0.91 % (3921548)Time elapsed: 0.094 s
% 3.47/0.91 % (3921548)Peak memory usage: 117 MB
% 3.47/0.91 % (3921548)Instructions burned: 201 (million)
% 3.47/0.91 % (3921560)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3837959635:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.47/0.91 % (3921561)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1805192009:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.47/0.92 % (3921560)Instruction limit reached!
% 3.47/0.92 % (3921560)------------------------------
% 3.47/0.92 % (3921560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.92 % (3921560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.92 % (3921560)CaDiCaL version: 2.1.3
% 3.47/0.92 % (3921560)Termination reason: Instruction limit
% 3.47/0.92 % (3921560)Termination phase: Saturation
% 3.47/0.92 % (3921560)Time elapsed: 0.005 s
% 3.47/0.92 % (3921560)Peak memory usage: 88 MB
% 3.47/0.92 % (3921560)Instructions burned: 16 (million)
% 3.47/0.92 % (3921561)Instruction limit reached!
% 3.47/0.92 % (3921561)------------------------------
% 3.47/0.92 % (3921561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.92 % (3921561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.92 % (3921561)CaDiCaL version: 2.1.3
% 3.47/0.92 % (3921561)Termination reason: Instruction limit
% 3.47/0.92 % (3921561)Termination phase: Saturation
% 3.47/0.92 % (3921561)Time elapsed: 0.012 s
% 3.47/0.92 % (3921561)Peak memory usage: 88 MB
% 3.47/0.92 % (3921561)Instructions burned: 30 (million)
% 3.47/0.92 % (3921562)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3985301437:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.47/0.92 % (3921563)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1507948233:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.47/0.92 % (3921562)Instruction limit reached!
% 3.47/0.92 % (3921562)------------------------------
% 3.47/0.92 % (3921562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.92 % (3921562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.92 % (3921562)CaDiCaL version: 2.1.3
% 3.47/0.92 % (3921562)Termination reason: Instruction limit
% 3.47/0.92 % (3921562)Termination phase: Saturation
% 3.47/0.92 % (3921562)Time elapsed: 0.006 s
% 3.47/0.92 % (3921562)Peak memory usage: 90 MB
% 3.47/0.92 % (3921562)Instructions burned: 17 (million)
% 3.47/0.92 % (3921563)Instruction limit reached!
% 3.47/0.92 % (3921563)------------------------------
% 3.47/0.92 % (3921563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.92 % (3921563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.92 % (3921563)CaDiCaL version: 2.1.3
% 3.47/0.92 % (3921563)Termination reason: Instruction limit
% 3.47/0.92 % (3921563)Termination phase: Saturation
% 3.47/0.92 % (3921563)Time elapsed: 0.010 s
% 3.47/0.92 % (3921563)Peak memory usage: 89 MB
% 3.47/0.92 % (3921563)Instructions burned: 25 (million)
% 3.47/0.92 % (3921546)------------------------------
% 3.47/0.92 % (3921546)------------------------------
% 3.47/0.92 % (3921564)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3098313353:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.47/0.92 % (3921564)Instruction limit reached!
% 3.47/0.92 % (3921564)------------------------------
% 3.47/0.92 % (3921564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.95 % (3921564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.95 % (3921564)CaDiCaL version: 2.1.3
% 3.47/0.95 % (3921564)Termination reason: Instruction limit
% 3.47/0.95 % (3921564)Termination phase: Saturation
% 3.47/0.95 % (3921564)Time elapsed: 0.009 s
% 3.47/0.95 % (3921564)Peak memory usage: 89 MB
% 3.47/0.95 % (3921564)Instructions burned: 28 (million)
% 3.47/0.95 % (3921567)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1443059767:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.47/0.95 % (3921547)------------------------------
% 3.47/0.95 % (3921547)------------------------------
% 3.47/0.95 % (3921568)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1794822674:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 3.47/0.95 % (3921568)Instruction limit reached!
% 3.47/0.95 % (3921568)------------------------------
% 3.47/0.95 % (3921568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.95 % (3921568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.95 % (3921568)CaDiCaL version: 2.1.3
% 3.47/0.95 % (3921568)Termination reason: Instruction limit
% 3.47/0.95 % (3921568)Termination phase: Saturation
% 3.47/0.95 % (3921568)Time elapsed: 0.002 s
% 3.47/0.95 % (3921568)Peak memory usage: 88 MB
% 3.47/0.95 % (3921568)Instructions burned: 4 (million)
% 3.47/0.95 % (3921567)Instruction limit reached!
% 3.47/0.95 % (3921567)------------------------------
% 3.47/0.95 % (3921567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.95 % (3921567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.95 % (3921567)CaDiCaL version: 2.1.3
% 3.47/0.95 % (3921567)Termination reason: Instruction limit
% 3.47/0.95 % (3921567)Termination phase: Saturation
% 3.47/0.95 % (3921567)Time elapsed: 0.029 s
% 3.47/0.95 % (3921567)Peak memory usage: 88 MB
% 3.47/0.95 % (3921567)Instructions burned: 86 (million)
% 3.47/0.95 % (3921571)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1636199244:i=181:rtra=on:ss=axioms:ev=cautious_2997 on theBenchmark for (2997ds/181Mi)
% 3.47/0.95 % (3921572)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=542204487:i=4:ep=RST:ins=2:rtra=on_2997 on theBenchmark for (2997ds/4Mi)
% 3.47/0.95 % (3921571)Refutation not found, incomplete strategy
% 3.47/0.95 % (3921571)------------------------------
% 3.47/0.95 % (3921571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.95 % (3921571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.95 % (3921571)CaDiCaL version: 2.1.3
% 3.47/0.95 % (3921571)Termination reason: Refutation not found, incomplete strategy
% 3.47/0.95 % (3921571)Time elapsed: 0.002 s
% 3.47/0.95 % (3921571)Peak memory usage: 89 MB
% 3.47/0.95 % (3921571)Instructions burned: 2 (million)
% 3.47/0.95 % (3921572)Instruction limit reached!
% 3.47/0.95 % (3921572)------------------------------
% 3.47/0.95 % (3921572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/0.95 % (3921572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.95 % (3921572)CaDiCaL version: 2.1.3
% 3.47/0.95 % (3921572)Termination reason: Instruction limit
% 3.47/0.95 % (3921572)Termination phase: Saturation
% 3.47/0.95 % (3921572)Time elapsed: 0.002 s
% 3.47/0.95 % (3921572)Peak memory usage: 88 MB
% 3.47/0.95 % (3921572)Instructions burned: 4 (million)
% 3.47/0.95 % (3921573)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=837909077:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.47/0.95 % (3921575)lrs+10_1_thi=all:si=on:fd=off:random_seed=103557986:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 3.47/0.95 % (3921573)First to succeed.
% 3.47/0.95 % (3921573)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3921541"
% 3.47/0.95 % (3921579)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=786773460:st=3:i=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/2Mi)
% 3.47/0.95 % (3921578)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=4226369768:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 3.47/0.95 % (3921579)Instruction limit reached!
% 3.47/0.95 % (3921579)------------------------------
% 3.47/0.95 % (3921579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.05 % (3921579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.05 % (3921579)CaDiCaL version: 2.1.3
% 4.66/1.05 % (3921579)Termination reason: Instruction limit
% 4.66/1.05 % (3921579)Termination phase: Saturation
% 4.66/1.05 % (3921579)Time elapsed: 0.002 s
% 4.66/1.05 % (3921579)Peak memory usage: 90 MB
% 4.66/1.05 % (3921579)Instructions burned: 3 (million)
% 4.66/1.05 % (3921578)Instruction limit reached!
% 4.66/1.05 % (3921578)------------------------------
% 4.66/1.05 % (3921578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.05 % (3921578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.05 % (3921578)CaDiCaL version: 2.1.3
% 4.66/1.05 % (3921578)Termination reason: Instruction limit
% 4.66/1.05 % (3921578)Termination phase: Saturation
% 4.66/1.05 % (3921578)Time elapsed: 0.004 s
% 4.66/1.05 % (3921578)Peak memory usage: 88 MB
% 4.66/1.05 % (3921578)Instructions burned: 11 (million)
% 4.66/1.05 % (3921575)Instruction limit reached!
% 4.66/1.05 % (3921575)------------------------------
% 4.66/1.05 % (3921575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.05 % (3921575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.05 % (3921575)CaDiCaL version: 2.1.3
% 4.66/1.05 % (3921575)Termination reason: Instruction limit
% 4.66/1.05 % (3921575)Termination phase: Saturation
% 4.66/1.05 % (3921575)Time elapsed: 0.037 s
% 4.66/1.05 % (3921575)Peak memory usage: 116 MB
% 4.66/1.05 % (3921575)Instructions burned: 54 (million)
% 4.66/1.05 % (3921583)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=85032033:i=127:doe=on:rtra=on_2996 on theBenchmark for (2996ds/127Mi)
% 4.66/1.05 % (3921582)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2830458522:i=2:doe=on:canc=force:asg=cautious:rtra=on_2996 on theBenchmark for (2996ds/2Mi)
% 4.66/1.05 % (3921582)Instruction limit reached!
% 4.66/1.05 % (3921582)------------------------------
% 4.66/1.05 % (3921582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.05 % (3921582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.05 % (3921582)CaDiCaL version: 2.1.3
% 4.66/1.05 % (3921582)Termination reason: Instruction limit
% 4.66/1.05 % (3921582)Termination phase: Saturation
% 4.66/1.05 % (3921582)Time elapsed: 0.002 s
% 4.66/1.05 % (3921582)Peak memory usage: 88 MB
% 4.66/1.05 % (3921582)Instructions burned: 3 (million)
% 4.66/1.05 % (3921571)------------------------------
% 4.66/1.05 % (3921571)------------------------------
% 4.66/1.05 % (3921583)Instruction limit reached!
% 4.66/1.05 % (3921583)------------------------------
% 4.66/1.05 % (3921583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.05 % (3921583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.05 % (3921583)CaDiCaL version: 2.1.3
% 4.66/1.05 % (3921583)Termination reason: Instruction limit
% 4.66/1.05 % (3921583)Termination phase: Saturation
% 4.66/1.05 % (3921583)Time elapsed: 0.063 s
% 4.66/1.05 % (3921583)Peak memory usage: 116 MB
% 4.66/1.05 % (3921583)Instructions burned: 127 (million)
% 4.66/1.05 % (3921589)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2948680991:i=26:canc=cautious:av=off:rtra=on_2995 on theBenchmark for (2995ds/26Mi)
% 4.66/1.05 % (3921588)dis+10_1_si=on:random_seed=3749959241:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 4.66/1.05 % (3921589)Refutation not found, incomplete strategy
% 4.66/1.05 % (3921589)------------------------------
% 4.66/1.05 % (3921589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.05 % (3921589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.05 % (3921589)CaDiCaL version: 2.1.3
% 4.66/1.05 % (3921589)Termination reason: Refutation not found, incomplete strategy
% 4.66/1.05 % (3921589)Time elapsed: 0.001 s
% 4.66/1.05 % (3921589)Peak memory usage: 88 MB
% 4.66/1.05 % (3921589)Instructions burned: 1 (million)
% 4.66/1.05 % (3921588)Instruction limit reached!
% 4.66/1.05 % (3921588)------------------------------
% 4.66/1.05 % (3921588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.05 % (3921588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.05 % (3921588)CaDiCaL version: 2.1.3
% 4.66/1.05 % (3921588)Termination reason: Instruction limit
% 4.66/1.05 % (3921588)Termination phase: Saturation
% 4.66/1.05 % (3921588)Time elapsed: 0.004 s
% 4.66/1.05 % (3921588)Peak memory usage: 88 MB
% 4.66/1.05 % (3921588)Instructions burned: 12 (million)
% 4.66/1.05 % (3921590)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1979148931:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 4.66/1.05 % (3921573)Refutation found. Thanks to Tanya!
% 4.66/1.05 % SZS status Theorem for theBenchmark
% 4.66/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 4.66/1.05 % (3921573)------------------------------
% 4.66/1.05 % (3921573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.05 % (3921573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.05 % (3921573)CaDiCaL version: 2.1.3
% 4.66/1.05 % (3921573)Termination reason: Refutation
% 4.66/1.05 % (3921573)Time elapsed: 0.041 s
% 4.66/1.05 % (3921573)Peak memory usage: 133 MB
% 4.66/1.05 % (3921573)Instructions burned: 26 (million)
% 4.66/1.05 % (3921573)------------------------------
% 4.66/1.05 % (3921573)------------------------------
% 4.66/1.05 % (3921541)Success in time 0.633 s
% 4.66/1.05 % Vampire exiting
%------------------------------------------------------------------------------