%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT101_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:47:18 AM UTC 2026
% Result : Theorem 8.44s 2.12s
% Output : Refutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 134 ( 48 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 144 ( 50 ~; 59 |; 29 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 127 ( 37 atm; 0 fun; 38 num; 52 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 : 11 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 92 ( 80 !; 12 ?; 92 :)
% 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_11,type,
sK0: ( $int * list ) > list ).
tff(func_def_12,type,
sK1: ( $int * list ) > $int ).
tff(pred_def_1,type,
inRange: ( $int * list ) > $o ).
tff(f1,negated_conjecture,
! [X1: list,X0: $int] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
tff(f2,negated_conjecture,
! [X1: list,X0: $int] : ( tail(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2) ).
tff(f4,negated_conjecture,
! [X1: list,X0: $int] : ( cons(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4) ).
tff(f5,negated_conjecture,
! [X1: list,X0: $int] :
( ( ? [X2: $int,X3: list] :
( $less(X2,X0)
& $lesseq(0,X2)
& ( X1 = cons(X2,X3) )
& inRange(X0,X3) )
| ( X1 = nil ) )
<=> inRange(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange) ).
tff(f6,conjecture,
~ ! [X0: $int] :
( $greatereq(X0,4)
=> inRange(X0,cons(1,cons(5,cons(2,nil)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(f7,negated_conjecture,
~ ~ ! [X0: $int] :
( $greatereq(X0,4)
=> inRange(X0,cons(1,cons(5,cons(2,nil)))) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
! [X0: $int] :
( ~ $less(X0,4)
=> inRange(X0,cons(1,cons(5,cons(2,nil)))) ),
inference(theory_normalization,[],[f7]) ).
tff(f9,plain,
! [X1: list,X0: $int] :
( ( ? [X2: $int,X3: list] :
( $less(X2,X0)
& ~ $less(X2,0)
& ( X1 = cons(X2,X3) )
& inRange(X0,X3) )
| ( X1 = nil ) )
<=> inRange(X0,X1) ),
inference(theory_normalization,[],[f5]) ).
tff(f15,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f22,plain,
! [X1: $int,X0: list] : ( nil != cons(X1,X0) ),
inference(rectify,[],[f4]) ).
tff(f23,plain,
! [X1: $int,X0: list] :
( inRange(X1,X0)
<=> ( ( nil = X0 )
| ? [X3: list,X2: $int] :
( ~ $less(X2,0)
& inRange(X1,X3)
& ( cons(X2,X3) = X0 )
& $less(X2,X1) ) ) ),
inference(rectify,[],[f9]) ).
tff(f24,plain,
! [X0: list,X1: $int] : ( head(cons(X1,X0)) = X1 ),
inference(rectify,[],[f1]) ).
tff(f25,plain,
! [X0: $int] :
( $less(X0,4)
| inRange(X0,cons(1,cons(5,cons(2,nil)))) ),
inference(ennf_transformation,[],[f8]) ).
tff(f26,plain,
! [X1: $int,X0: list] :
( ( inRange(X1,X0)
| ( ( nil != X0 )
& ! [X3: list,X2: $int] :
( $less(X2,0)
| ~ inRange(X1,X3)
| ( cons(X2,X3) != X0 )
| ~ $less(X2,X1) ) ) )
& ( ( nil = X0 )
| ? [X3: list,X2: $int] :
( ~ $less(X2,0)
& inRange(X1,X3)
& ( cons(X2,X3) = X0 )
& $less(X2,X1) )
| ~ inRange(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f27,plain,
! [X1: $int,X0: list] :
( ( inRange(X1,X0)
| ( ( nil != X0 )
& ! [X3: list,X2: $int] :
( $less(X2,0)
| ~ inRange(X1,X3)
| ( cons(X2,X3) != X0 )
| ~ $less(X2,X1) ) ) )
& ( ( nil = X0 )
| ? [X3: list,X2: $int] :
( ~ $less(X2,0)
& inRange(X1,X3)
& ( cons(X2,X3) = X0 )
& $less(X2,X1) )
| ~ inRange(X1,X0) ) ),
inference(flattening,[],[f26]) ).
tff(f28,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ( nil != X1 )
& ! [X2: list,X3: $int] :
( $less(X3,0)
| ~ inRange(X0,X2)
| ( cons(X3,X2) != X1 )
| ~ $less(X3,X0) ) ) )
& ( ( nil = X1 )
| ? [X4: list,X5: $int] :
( ~ $less(X5,0)
& inRange(X0,X4)
& ( cons(X5,X4) = X1 )
& $less(X5,X0) )
| ~ inRange(X0,X1) ) ),
inference(rectify,[],[f27]) ).
tff(f29,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ( nil != X1 )
& ! [X2: list,X3: $int] :
( $less(X3,0)
| ~ inRange(X0,X2)
| ( cons(X3,X2) != X1 )
| ~ $less(X3,X0) ) ) )
& ( ( nil = X1 )
| ( ~ $less(sK1(X0,X1),0)
& inRange(X0,sK0(X0,X1))
& ( cons(sK1(X0,X1),sK0(X0,X1)) = X1 )
& $less(sK1(X0,X1),X0) )
| ~ inRange(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X4,sK0(X0,X1)),skolemize(X5,sK1(X0,X1))],[f28]) ).
tff(f30,plain,
! [X0: list,X1: $int] : ( tail(cons(X1,X0)) = X0 ),
inference(rectify,[],[f2]) ).
tff(f31,plain,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
inference(rectify,[],[f22]) ).
tff(f32,plain,
! [X0: list,X1: $int] : ( head(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f24]) ).
tff(f34,plain,
! [X0: $int] :
( inRange(X0,cons(1,cons(5,cons(2,nil))))
| $less(X0,4) ),
inference(cnf_transformation,[],[f25]) ).
tff(f35,plain,
! [X0: $int,X1: list] :
( $less(sK1(X0,X1),X0)
| ( nil = X1 )
| ~ inRange(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tff(f36,plain,
! [X0: $int,X1: list] :
( ( cons(sK1(X0,X1),sK0(X0,X1)) = X1 )
| ( nil = X1 )
| ~ inRange(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tff(f37,plain,
! [X0: $int,X1: list] :
( inRange(X0,sK0(X0,X1))
| ~ inRange(X0,X1)
| ( nil = X1 ) ),
inference(cnf_transformation,[],[f29]) ).
tff(f41,plain,
! [X0: list,X1: $int] : ( tail(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f30]) ).
tff(f42,plain,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
inference(cnf_transformation,[],[f31]) ).
tff(f58,plain,
! [X0: list,X1: $int] :
( ( tail(X0) = sK0(X1,X0) )
| ( nil = X0 )
| ~ inRange(X1,X0) ),
inference(superposition,[],[f41,f36]) ).
tff(f59,plain,
! [X0: list,X1: $int] :
( ( head(X0) = sK1(X1,X0) )
| ~ inRange(X1,X0)
| ( nil = X0 ) ),
inference(superposition,[],[f32,f36]) ).
tff(f63,plain,
! [X0: list,X1: $int] :
( ~ inRange(X1,X0)
| ( nil = X0 )
| inRange(X1,tail(X0))
| ~ inRange(X1,X0)
| ( nil = X0 ) ),
inference(superposition,[],[f37,f58]) ).
tff(f65,plain,
! [X0: list,X1: $int] :
( inRange(X1,tail(X0))
| ~ inRange(X1,X0)
| ( nil = X0 ) ),
inference(duplicate_literal_removal,[],[f63]) ).
tff(f67,plain,
! [X2: $int,X0: list,X1: $int] :
( ~ inRange(X1,cons(X2,X0))
| ( nil = cons(X2,X0) )
| inRange(X1,X0) ),
inference(superposition,[],[f65,f41]) ).
tff(f68,plain,
! [X2: $int,X0: list,X1: $int] :
( ~ inRange(X1,cons(X2,X0))
| inRange(X1,X0) ),
inference(forward_subsumption_resolution,[],[f67,f42]) ).
tff(f69,plain,
! [X0: $int] :
( inRange(X0,cons(5,cons(2,nil)))
| $less(X0,4) ),
inference(resolution,[],[f68,f34]) ).
tff(f79,plain,
! [X0: list,X1: $int] :
( ~ inRange(X1,X0)
| ( nil = X0 )
| $less(head(X0),X1)
| ~ inRange(X1,X0)
| ( nil = X0 ) ),
inference(superposition,[],[f35,f59]) ).
tff(f80,plain,
! [X0: list,X1: $int] :
( $less(head(X0),X1)
| ( nil = X0 )
| ~ inRange(X1,X0) ),
inference(duplicate_literal_removal,[],[f79]) ).
tff(f83,plain,
! [X2: $int,X0: $int,X1: list] :
( ~ inRange(X2,cons(X0,X1))
| $less(X0,X2)
| ( cons(X0,X1) = nil ) ),
inference(superposition,[],[f80,f32]) ).
tff(f84,plain,
! [X2: $int,X0: $int,X1: list] :
( ~ inRange(X2,cons(X0,X1))
| $less(X0,X2) ),
inference(forward_subsumption_resolution,[],[f83,f42]) ).
tff(f87,plain,
! [X0: $int] :
( $less(5,X0)
| $less(X0,4) ),
inference(resolution,[],[f84,f69]) ).
tff(f114,plain,
$less(5,4),
inference(resolution,[],[f15,f87]) ).
tff(f116,plain,
$false,
inference(evaluation,[],[f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT101_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n005.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Tue Sep 29 00:08:16 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running first-order theorem proving
% 0.26/0.31 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.50/1.66 % (1302798)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.50/1.66 % (1302807)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=229749796:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.50/1.66 % (1302811)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3479696657:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.50/1.66 % (1302811)Instruction limit reached!
% 4.50/1.66 % (1302811)------------------------------
% 4.50/1.66 % (1302811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.66 % (1302811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.66 % (1302811)CaDiCaL version: 2.1.3
% 4.50/1.66 % (1302811)Termination reason: Instruction limit
% 4.50/1.66 % (1302811)Termination phase: Saturation
% 4.50/1.66 % (1302811)Time elapsed: 0.005 s
% 4.50/1.66 % (1302811)Peak memory usage: 89 MB
% 4.50/1.66 % (1302811)Instructions burned: 5 (million)
% 4.50/1.66 % (1302807)Instruction limit reached!
% 4.50/1.66 % (1302807)------------------------------
% 4.50/1.66 % (1302807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.66 % (1302807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.66 % (1302807)CaDiCaL version: 2.1.3
% 4.50/1.66 % (1302807)Termination reason: Instruction limit
% 4.50/1.66 % (1302807)Termination phase: Saturation
% 4.50/1.66 % (1302807)Time elapsed: 0.025 s
% 4.50/1.66 % (1302807)Peak memory usage: 112 MB
% 4.50/1.66 % (1302807)Instructions burned: 13 (million)
% 4.50/1.66 % (1302808)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4059842948:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.50/1.66 % (1302809)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3039358710:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.50/1.66 % (1302810)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2797926041:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.50/1.66 % (1302813)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2520979847:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.50/1.66 % (1302812)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2057588120:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.50/1.66 % (1302810)Instruction limit reached!
% 4.50/1.66 % (1302810)------------------------------
% 4.50/1.66 % (1302810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.66 % (1302810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.66 % (1302810)CaDiCaL version: 2.1.3
% 4.50/1.66 % (1302810)Termination reason: Instruction limit
% 4.50/1.66 % (1302810)Termination phase: Saturation
% 4.50/1.66 % (1302810)Time elapsed: 0.009 s
% 4.50/1.66 % (1302810)Peak memory usage: 88 MB
% 4.50/1.66 % (1302810)Instructions burned: 7 (million)
% 4.50/1.66 % (1302813)Instruction limit reached!
% 4.50/1.66 % (1302813)------------------------------
% 4.50/1.66 % (1302813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.66 % (1302813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.66 % (1302813)CaDiCaL version: 2.1.3
% 4.50/1.66 % (1302813)Termination reason: Instruction limit
% 4.50/1.66 % (1302813)Termination phase: Saturation
% 4.50/1.66 % (1302813)Time elapsed: 0.067 s
% 4.50/1.66 % (1302813)Peak memory usage: 115 MB
% 4.50/1.66 % (1302813)Instructions burned: 33 (million)
% 4.50/1.66 % (1302812)Instruction limit reached!
% 4.50/1.66 % (1302812)------------------------------
% 4.50/1.66 % (1302812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.66 % (1302812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.66 % (1302812)CaDiCaL version: 2.1.3
% 4.50/1.66 % (1302812)Termination reason: Instruction limit
% 4.50/1.66 % (1302812)Termination phase: Saturation
% 4.50/1.66 % (1302812)Time elapsed: 0.077 s
% 4.50/1.66 % (1302812)Peak memory usage: 116 MB
% 4.50/1.66 % (1302812)Instructions burned: 47 (million)
% 4.50/1.66 % (1302817)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=225605931:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.50/1.66 % (1302816)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1324806018:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 6.61/1.81 % (1302816)Instruction limit reached!
% 6.61/1.81 % (1302816)------------------------------
% 6.61/1.81 % (1302816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302816)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302816)Termination reason: Instruction limit
% 6.61/1.81 % (1302816)Termination phase: Saturation
% 6.61/1.81 % (1302816)Time elapsed: 0.016 s
% 6.61/1.81 % (1302816)Peak memory usage: 88 MB
% 6.61/1.81 % (1302816)Instructions burned: 15 (million)
% 6.61/1.81 % (1302817)Instruction limit reached!
% 6.61/1.81 % (1302817)------------------------------
% 6.61/1.81 % (1302817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302817)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302817)Termination reason: Instruction limit
% 6.61/1.81 % (1302817)Termination phase: Saturation
% 6.61/1.81 % (1302817)Time elapsed: 0.033 s
% 6.61/1.81 % (1302817)Peak memory usage: 88 MB
% 6.61/1.81 % (1302817)Instructions burned: 30 (million)
% 6.61/1.81 % (1302823)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1216029781:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 6.61/1.81 % (1302823)Instruction limit reached!
% 6.61/1.81 % (1302823)------------------------------
% 6.61/1.81 % (1302823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302823)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302823)Termination reason: Instruction limit
% 6.61/1.81 % (1302823)Termination phase: Saturation
% 6.61/1.81 % (1302823)Time elapsed: 0.011 s
% 6.61/1.81 % (1302823)Peak memory usage: 90 MB
% 6.61/1.81 % (1302823)Instructions burned: 18 (million)
% 6.61/1.81 % (1302809)Instruction limit reached!
% 6.61/1.81 % (1302809)------------------------------
% 6.61/1.81 % (1302809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302809)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302809)Termination reason: Instruction limit
% 6.61/1.81 % (1302809)Termination phase: Saturation
% 6.61/1.81 % (1302809)Time elapsed: 0.257 s
% 6.61/1.81 % (1302809)Peak memory usage: 117 MB
% 6.61/1.81 % (1302809)Instructions burned: 201 (million)
% 6.61/1.81 % (1302824)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2708518385:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 6.61/1.81 % (1302808)Instruction limit reached!
% 6.61/1.81 % (1302808)------------------------------
% 6.61/1.81 % (1302808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302808)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302808)Termination reason: Instruction limit
% 6.61/1.81 % (1302808)Termination phase: Saturation
% 6.61/1.81 % (1302808)Time elapsed: 0.318 s
% 6.61/1.81 % (1302808)Peak memory usage: 116 MB
% 6.61/1.81 % (1302808)Instructions burned: 307 (million)
% 6.61/1.81 % (1302824)Instruction limit reached!
% 6.61/1.81 % (1302824)------------------------------
% 6.61/1.81 % (1302824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302824)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302824)Termination reason: Instruction limit
% 6.61/1.81 % (1302824)Termination phase: Saturation
% 6.61/1.81 % (1302824)Time elapsed: 0.029 s
% 6.61/1.81 % (1302824)Peak memory usage: 89 MB
% 6.61/1.81 % (1302824)Instructions burned: 24 (million)
% 6.61/1.81 % (1302825)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=664586324:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 6.61/1.81 % (1302825)Refutation not found, incomplete strategy
% 6.61/1.81 % (1302825)------------------------------
% 6.61/1.81 % (1302825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302825)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302825)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.81 % (1302825)Time elapsed: 0.003 s
% 6.61/1.81 % (1302825)Peak memory usage: 89 MB
% 6.61/1.81 % (1302825)Instructions burned: 1 (million)
% 6.61/1.81 % (1302828)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=4094882567:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 6.61/1.81 % (1302828)First to succeed.
% 6.61/1.81 % (1302828)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1302798"
% 6.61/1.81 % (1302829)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=407204148:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 6.61/1.81 % (1302831)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=78442456:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 6.61/1.81 % (1302831)Refutation not found, incomplete strategy
% 6.61/1.81 % (1302831)------------------------------
% 6.61/1.81 % (1302831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302831)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302831)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.81 % (1302831)Time elapsed: 0.002 s
% 6.61/1.81 % (1302831)Peak memory usage: 89 MB
% 6.61/1.81 % (1302829)Instruction limit reached!
% 6.61/1.81 % (1302829)------------------------------
% 6.61/1.81 % (1302829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302829)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302829)Termination reason: Instruction limit
% 6.61/1.81 % (1302829)Termination phase: Saturation
% 6.61/1.81 % (1302829)Time elapsed: 0.004 s
% 6.61/1.81 % (1302829)Peak memory usage: 88 MB
% 6.61/1.81 % (1302829)Instructions burned: 3 (million)
% 6.61/1.81 % (1302832)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3306208805:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 6.61/1.81 % (1302832)Instruction limit reached!
% 6.61/1.81 % (1302832)------------------------------
% 6.61/1.81 % (1302832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302832)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302832)Termination reason: Instruction limit
% 6.61/1.81 % (1302832)Termination phase: Saturation
% 6.61/1.81 % (1302832)Time elapsed: 0.004 s
% 6.61/1.81 % (1302832)Peak memory usage: 88 MB
% 6.61/1.81 % (1302832)Instructions burned: 5 (million)
% 6.61/1.81 % (1302835)lrs+10_1_thi=all:si=on:fd=off:random_seed=3007462262:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 6.61/1.81 % (1302834)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=895109379:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 6.61/1.81 % (1302835)Instruction limit reached!
% 6.61/1.81 % (1302835)------------------------------
% 6.61/1.81 % (1302835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.81 % (1302835)CaDiCaL version: 2.1.3
% 6.61/1.81 % (1302835)Termination reason: Instruction limit
% 6.61/1.81 % (1302835)Termination phase: Saturation
% 6.61/1.81 % (1302835)Time elapsed: 0.093 s
% 6.61/1.81 % (1302835)Peak memory usage: 115 MB
% 6.61/1.81 % (1302835)Instructions burned: 53 (million)
% 6.61/1.81 % (1302834)Also succeeded, but the first one will report.
% 6.61/1.81 % (1302842)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2472383609:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 6.61/1.81 % (1302840)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=1479631217:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 6.61/1.81 % (1302842)Instruction limit reached!
% 6.61/1.81 % (1302842)------------------------------
% 6.61/1.81 % (1302842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.81 % (1302842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.12 % (1302842)CaDiCaL version: 2.1.3
% 8.44/2.12 % (1302842)Termination reason: Instruction limit
% 8.44/2.12 % (1302842)Termination phase: Saturation
% 8.44/2.12 % (1302842)Time elapsed: 0.003 s
% 8.44/2.12 % (1302842)Peak memory usage: 90 MB
% 8.44/2.12 % (1302842)Instructions burned: 3 (million)
% 8.44/2.12 % (1302840)Instruction limit reached!
% 8.44/2.12 % (1302840)------------------------------
% 8.44/2.12 % (1302840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.12 % (1302840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.12 % (1302840)CaDiCaL version: 2.1.3
% 8.44/2.12 % (1302840)Termination reason: Instruction limit
% 8.44/2.12 % (1302840)Termination phase: Saturation
% 8.44/2.12 % (1302840)Time elapsed: 0.010 s
% 8.44/2.12 % (1302840)Peak memory usage: 88 MB
% 8.44/2.12 % (1302840)Instructions burned: 9 (million)
% 8.44/2.12 % (1302825)------------------------------
% 8.44/2.12 % (1302825)------------------------------
% 8.44/2.12 % (1302828)Refutation found. Thanks to Tanya!
% 8.44/2.12 % SZS status Theorem for theBenchmark
% 8.44/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 8.44/2.12 % (1302828)------------------------------
% 8.44/2.12 % (1302828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.12 % (1302828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.12 % (1302828)CaDiCaL version: 2.1.3
% 8.44/2.12 % (1302828)Termination reason: Refutation
% 8.44/2.12 % (1302828)Time elapsed: 0.009 s
% 8.44/2.12 % (1302828)Peak memory usage: 89 MB
% 8.44/2.12 % (1302828)Instructions burned: 6 (million)
% 8.44/2.12 % (1302828)------------------------------
% 8.44/2.12 % (1302828)------------------------------
% 8.44/2.12 % (1302798)Success in time 1.093 s
% 8.44/2.12 % Vampire exiting
%------------------------------------------------------------------------------