%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI635_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:33:32 AM UTC 2026
% Result : Theorem 0.19s 1.80s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 25 unt; 0 typ; 7 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 6 |; 0 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 90 ( 39 atm; 25 fun; 14 num; 12 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 7 usr; 10 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
u: $real ).
tff(func_def_1,type,
v: $real ).
tff(func_def_2,type,
w: $real ).
tff(func_def_3,type,
x: $real ).
tff(func_def_4,type,
y: $real ).
tff(func_def_5,type,
s: $real ).
tff(func_def_6,type,
f: $real > $real ).
tff(f1,axiom,
! [X1: $real,X0: $real] :
( $greatereq(X0,X1)
=> $greatereq(f(X0),f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_non_decreasing) ).
tff(f2,axiom,
$less(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis) ).
tff(f3,axiom,
$greater(w,1/1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_01) ).
tff(f4,axiom,
$greater(s,2/1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_02) ).
tff(f5,axiom,
$less($product($quotient(1/1,3/1),$sum(w,s)),v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_03) ).
tff(f6,axiom,
$lesseq(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_04) ).
tff(f7,conjecture,
$less($sum(f(x),u),$sum($product(v,v),f(y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion) ).
tff(f8,negated_conjecture,
~ $less($sum(f(x),u),$sum($product(v,v),f(y))),
inference(negated_conjecture,[status(cth)],[f7]) ).
tff(f9,plain,
~ $less(y,x),
inference(theory_normalization,[],[f6]) ).
tff(f10,plain,
! [X1: $real,X0: $real] :
( ~ $less(X0,X1)
=> ~ $less(f(X0),f(X1)) ),
inference(theory_normalization,[],[f1]) ).
tff(f11,plain,
$less(2/1,s),
inference(theory_normalization,[],[f4]) ).
tff(f12,plain,
$less(1/1,w),
inference(theory_normalization,[],[f3]) ).
tff(f32,plain,
! [X1: $real,X0: $real] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) ),
inference(rectify,[],[f10]) ).
tff(f33,plain,
~ $less($sum(f(x),u),$sum($product(v,v),f(y))),
inference(flattening,[],[f8]) ).
tff(f34,plain,
! [X1: $real,X0: $real] :
( $less(X1,X0)
| ~ $less(f(X1),f(X0)) ),
inference(ennf_transformation,[],[f32]) ).
tff(f35,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| ~ $less(f(X0),f(X1)) ),
inference(rectify,[],[f34]) ).
tff(f36,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| ~ $less(f(X0),f(X1)) ),
inference(cnf_transformation,[],[f35]) ).
tff(f37,plain,
$less(1/1,w),
inference(cnf_transformation,[],[f12]) ).
tff(f38,plain,
$less(2/1,s),
inference(cnf_transformation,[],[f11]) ).
tff(f39,plain,
$less(u,v),
inference(cnf_transformation,[],[f2]) ).
tff(f40,plain,
~ $less($sum(f(x),u),$sum($product(v,v),f(y))),
inference(cnf_transformation,[],[f33]) ).
tff(f41,plain,
~ $less(y,x),
inference(cnf_transformation,[],[f9]) ).
tff(f42,plain,
$less($product($quotient(1/1,3/1),$sum(w,s)),v),
inference(cnf_transformation,[],[f5]) ).
tff(f43,plain,
$less($product(1/3,$sum(w,s)),v),
inference(evaluation,[],[f42]) ).
tff(f45,definition,
( spl0_1
<=> $less(u,v) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f48,plain,
spl0_1,
inference(avatar_split_clause,[],[f39,f45]) ).
tff(f50,definition,
( spl0_2
<=> $less($product(1/3,$sum(w,s)),v) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f53,plain,
spl0_2,
inference(avatar_split_clause,[],[f43,f50]) ).
tff(f55,definition,
( spl0_3
<=> $less($sum(f(x),u),$sum($product(v,v),f(y))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f58,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f40,f55]) ).
tff(f60,definition,
( spl0_4
<=> $less(1/1,w) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f63,plain,
spl0_4,
inference(avatar_split_clause,[],[f37,f60]) ).
tff(f65,definition,
( spl0_5
<=> $less(y,x) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f67,plain,
( ~ $less(y,x)
| spl0_5 ),
inference(avatar_component_clause,[],[f65]) ).
tff(f68,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f41,f65]) ).
tff(f70,definition,
( spl0_6
<=> $less(2/1,s) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
tff(f73,plain,
spl0_6,
inference(avatar_split_clause,[],[f38,f70]) ).
tff(f211,plain,
( ~ $less(f(y),f(x))
| spl0_5 ),
inference(resolution,[],[f36,f67]) ).
tff(f213,definition,
( spl0_22
<=> $less(f(y),f(x)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
tff(f216,plain,
( ~ spl0_22
| spl0_5 ),
inference(avatar_split_clause,[],[f211,f65,f213]) ).
tff(f227,plain,
$false,
inference(avatar_smt_refutation,[],[f216,f73,f68,f63,f58,f53,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI635_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:55:09 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.78/1.29 % (2636619)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.78/1.29 % (2636628)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3261996420:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.78/1.29 % (2636628)Instruction limit reached!
% 3.78/1.29 % (2636628)------------------------------
% 3.78/1.29 % (2636628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.29 % (2636628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.29 % (2636628)CaDiCaL version: 2.1.3
% 3.78/1.29 % (2636628)Termination reason: Instruction limit
% 3.78/1.29 % (2636628)Termination phase: Saturation
% 3.78/1.29 % (2636628)Time elapsed: 0.002 s
% 3.78/1.29 % (2636628)Peak memory usage: 88 MB
% 3.78/1.29 % (2636628)Instructions burned: 5 (million)
% 3.78/1.29 % (2636626)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3483291380:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.78/1.29 % (2636625)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4082209289:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.78/1.29 % (2636624)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=827648100:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.78/1.29 % (2636630)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3374374052:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.78/1.29 % (2636627)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=282094282:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.78/1.29 % (2636629)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1897289161:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.78/1.29 % (2636627)Instruction limit reached!
% 3.78/1.29 % (2636627)------------------------------
% 3.78/1.29 % (2636627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.29 % (2636627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.29 % (2636627)CaDiCaL version: 2.1.3
% 3.78/1.29 % (2636627)Termination reason: Instruction limit
% 3.78/1.29 % (2636627)Termination phase: Saturation
% 3.78/1.29 % (2636627)Time elapsed: 0.005 s
% 3.78/1.29 % (2636627)Peak memory usage: 88 MB
% 3.78/1.29 % (2636627)Instructions burned: 8 (million)
% 3.78/1.29 % (2636624)Instruction limit reached!
% 3.78/1.29 % (2636624)------------------------------
% 3.78/1.29 % (2636624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.29 % (2636624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.29 % (2636624)CaDiCaL version: 2.1.3
% 3.78/1.29 % (2636624)Termination reason: Instruction limit
% 3.78/1.29 % (2636624)Termination phase: Saturation
% 3.78/1.29 % (2636624)Time elapsed: 0.032 s
% 3.78/1.29 % (2636624)Peak memory usage: 117 MB
% 3.78/1.29 % (2636624)Instructions burned: 12 (million)
% 3.78/1.29 % (2636629)Refutation not found, incomplete strategy
% 3.78/1.29 % (2636629)------------------------------
% 3.78/1.29 % (2636629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.29 % (2636629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.29 % (2636629)CaDiCaL version: 2.1.3
% 3.78/1.29 % (2636629)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.29 % (2636629)Time elapsed: 0.036 s
% 3.78/1.29 % (2636629)Peak memory usage: 117 MB
% 3.78/1.29 % (2636629)Instructions burned: 15 (million)
% 3.78/1.29 % (2636625)Refutation not found, incomplete strategy
% 3.78/1.29 % (2636625)------------------------------
% 3.78/1.29 % (2636625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.29 % (2636625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.29 % (2636625)CaDiCaL version: 2.1.3
% 3.78/1.29 % (2636625)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.29 % (2636625)Time elapsed: 0.041 s
% 3.78/1.29 % (2636625)Peak memory usage: 117 MB
% 3.78/1.29 % (2636625)Instructions burned: 24 (million)
% 3.78/1.29 % (2636630)Instruction limit reached!
% 3.78/1.29 % (2636630)------------------------------
% 3.78/1.29 % (2636630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.29 % (2636630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.48 % (2636630)CaDiCaL version: 2.1.3
% 4.88/1.48 % (2636630)Termination reason: Instruction limit
% 4.88/1.48 % (2636630)Termination phase: Saturation
% 4.88/1.48 % (2636630)Time elapsed: 0.046 s
% 4.88/1.48 % (2636630)Peak memory usage: 118 MB
% 4.88/1.48 % (2636630)Instructions burned: 34 (million)
% 4.88/1.48 % (2636632)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4084943639:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.88/1.48 % (2636632)Refutation not found, incomplete strategy
% 4.88/1.48 % (2636632)------------------------------
% 4.88/1.48 % (2636632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.48 % (2636632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.48 % (2636632)CaDiCaL version: 2.1.3
% 4.88/1.48 % (2636632)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.48 % (2636632)Time elapsed: 0.001 s
% 4.88/1.48 % (2636632)Peak memory usage: 88 MB
% 4.88/1.48 % (2636626)Instruction limit reached!
% 4.88/1.48 % (2636626)------------------------------
% 4.88/1.48 % (2636626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.48 % (2636626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.48 % (2636626)CaDiCaL version: 2.1.3
% 4.88/1.48 % (2636626)Termination reason: Instruction limit
% 4.88/1.48 % (2636626)Termination phase: Saturation
% 4.88/1.48 % (2636626)Time elapsed: 0.173 s
% 4.88/1.48 % (2636626)Peak memory usage: 117 MB
% 4.88/1.48 % (2636626)Instructions burned: 202 (million)
% 4.88/1.48 % (2636639)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=4040260293:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.88/1.48 % (2636639)Instruction limit reached!
% 4.88/1.48 % (2636639)------------------------------
% 4.88/1.48 % (2636639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.48 % (2636639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.48 % (2636639)CaDiCaL version: 2.1.3
% 4.88/1.48 % (2636639)Termination reason: Instruction limit
% 4.88/1.48 % (2636639)Termination phase: Saturation
% 4.88/1.48 % (2636639)Time elapsed: 0.021 s
% 4.88/1.48 % (2636639)Peak memory usage: 89 MB
% 4.88/1.48 % (2636639)Instructions burned: 29 (million)
% 4.88/1.48 % (2636640)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2760365446:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.88/1.48 % (2636640)Instruction limit reached!
% 4.88/1.48 % (2636640)------------------------------
% 4.88/1.48 % (2636640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.48 % (2636640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.48 % (2636640)CaDiCaL version: 2.1.3
% 4.88/1.48 % (2636640)Termination reason: Instruction limit
% 4.88/1.48 % (2636640)Termination phase: Saturation
% 4.88/1.48 % (2636640)Time elapsed: 0.008 s
% 4.88/1.48 % (2636640)Peak memory usage: 90 MB
% 4.88/1.48 % (2636640)Instructions burned: 16 (million)
% 4.88/1.48 % (2636641)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1710898937:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.88/1.48 % (2636632)------------------------------
% 4.88/1.48 % (2636632)------------------------------
% 4.88/1.48 % (2636641)Instruction limit reached!
% 4.88/1.48 % (2636641)------------------------------
% 4.88/1.48 % (2636641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.48 % (2636641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.48 % (2636641)CaDiCaL version: 2.1.3
% 4.88/1.48 % (2636641)Termination reason: Instruction limit
% 4.88/1.48 % (2636641)Termination phase: Saturation
% 4.88/1.48 % (2636641)Time elapsed: 0.018 s
% 4.88/1.48 % (2636641)Peak memory usage: 89 MB
% 4.88/1.48 % (2636641)Instructions burned: 25 (million)
% 4.88/1.48 % (2636629)------------------------------
% 4.88/1.48 % (2636629)------------------------------
% 4.88/1.48 % (2636625)------------------------------
% 4.88/1.48 % (2636625)------------------------------
% 4.88/1.48 % (2636644)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=2683653656:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 4.88/1.48 % (2636644)Instruction limit reached!
% 4.88/1.48 % (2636644)------------------------------
% 5.90/1.67 % (2636644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.67 % (2636644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.67 % (2636644)CaDiCaL version: 2.1.3
% 5.90/1.67 % (2636644)Termination reason: Instruction limit
% 5.90/1.67 % (2636644)Termination phase: Saturation
% 5.90/1.67 % (2636644)Time elapsed: 0.014 s
% 5.90/1.67 % (2636644)Peak memory usage: 89 MB
% 5.90/1.67 % (2636644)Instructions burned: 27 (million)
% 5.90/1.67 % (2636646)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2356110515:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.90/1.67 % (2636650)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=4246164545:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 5.90/1.67 % (2636648)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3762229207:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.90/1.67 % (2636650)Instruction limit reached!
% 5.90/1.67 % (2636650)------------------------------
% 5.90/1.67 % (2636650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.67 % (2636650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.67 % (2636650)CaDiCaL version: 2.1.3
% 5.90/1.67 % (2636650)Termination reason: Instruction limit
% 5.90/1.67 % (2636650)Termination phase: Saturation
% 5.90/1.67 % (2636650)Time elapsed: 0.002 s
% 5.90/1.67 % (2636650)Peak memory usage: 89 MB
% 5.90/1.67 % (2636650)Instructions burned: 4 (million)
% 5.90/1.67 % (2636648)Instruction limit reached!
% 5.90/1.67 % (2636648)------------------------------
% 5.90/1.67 % (2636648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.67 % (2636648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.67 % (2636648)CaDiCaL version: 2.1.3
% 5.90/1.67 % (2636648)Termination reason: Instruction limit
% 5.90/1.67 % (2636648)Termination phase: Saturation
% 5.90/1.67 % (2636648)Time elapsed: 0.002 s
% 5.90/1.67 % (2636648)Peak memory usage: 88 MB
% 5.90/1.67 % (2636648)Instructions burned: 2 (million)
% 5.90/1.67 % (2636649)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3670557878:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.90/1.67 % (2636649)Refutation not found, incomplete strategy
% 5.90/1.67 % (2636649)------------------------------
% 5.90/1.67 % (2636649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.67 % (2636649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.67 % (2636649)CaDiCaL version: 2.1.3
% 5.90/1.67 % (2636649)Termination reason: Refutation not found, incomplete strategy
% 5.90/1.67 % (2636649)Time elapsed: 0.003 s
% 5.90/1.67 % (2636649)Peak memory usage: 89 MB
% 5.90/1.67 % (2636649)Instructions burned: 3 (million)
% 5.90/1.67 % (2636646)Instruction limit reached!
% 5.90/1.67 % (2636646)------------------------------
% 5.90/1.67 % (2636646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.67 % (2636646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.67 % (2636646)CaDiCaL version: 2.1.3
% 5.90/1.67 % (2636646)Termination reason: Instruction limit
% 5.90/1.67 % (2636646)Termination phase: Saturation
% 5.90/1.67 % (2636646)Time elapsed: 0.058 s
% 5.90/1.67 % (2636646)Peak memory usage: 89 MB
% 5.90/1.67 % (2636646)Instructions burned: 86 (million)
% 5.90/1.67 % (2636651)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=839619798:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 5.90/1.67 % (2636652)lrs+10_1_thi=all:si=on:fd=off:random_seed=1565277821:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.90/1.67 % (2636658)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2439590524:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 5.90/1.67 % (2636658)Instruction limit reached!
% 5.90/1.67 % (2636658)------------------------------
% 5.90/1.67 % (2636658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.67 % (2636658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.67 % (2636658)CaDiCaL version: 2.1.3
% 5.90/1.67 % (2636658)Termination reason: Instruction limit
% 5.90/1.67 % (2636658)Termination phase: Saturation
% 5.90/1.67 % (2636658)Time elapsed: 0.001 s
% 7.02/1.70 % (2636658)Peak memory usage: 88 MB
% 7.02/1.70 % (2636658)Instructions burned: 2 (million)
% 7.02/1.70 % (2636655)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=2898009698:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 7.02/1.70 % (2636655)Instruction limit reached!
% 7.02/1.70 % (2636655)------------------------------
% 7.02/1.70 % (2636655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.70 % (2636655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.70 % (2636655)CaDiCaL version: 2.1.3
% 7.02/1.70 % (2636655)Termination reason: Instruction limit
% 7.02/1.70 % (2636655)Termination phase: Saturation
% 7.02/1.70 % (2636655)Time elapsed: 0.006 s
% 7.02/1.70 % (2636655)Peak memory usage: 88 MB
% 7.02/1.70 % (2636655)Instructions burned: 8 (million)
% 7.02/1.70 % (2636659)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1949393427:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 7.02/1.70 % (2636659)Instruction limit reached!
% 7.02/1.70 % (2636659)------------------------------
% 7.02/1.70 % (2636659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.70 % (2636659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.70 % (2636659)CaDiCaL version: 2.1.3
% 7.02/1.70 % (2636659)Termination reason: Instruction limit
% 7.02/1.70 % (2636659)Termination phase: Saturation
% 7.02/1.70 % (2636659)Time elapsed: 0.003 s
% 7.02/1.70 % (2636659)Peak memory usage: 89 MB
% 7.02/1.70 % (2636659)Instructions burned: 3 (million)
% 7.02/1.70 % (2636652)Instruction limit reached!
% 7.02/1.70 % (2636652)------------------------------
% 7.02/1.70 % (2636652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.70 % (2636652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.70 % (2636652)CaDiCaL version: 2.1.3
% 7.02/1.70 % (2636652)Termination reason: Instruction limit
% 7.02/1.70 % (2636652)Termination phase: Saturation
% 7.02/1.70 % (2636652)Time elapsed: 0.062 s
% 7.02/1.70 % (2636652)Peak memory usage: 116 MB
% 7.02/1.70 % (2636652)Instructions burned: 53 (million)
% 7.02/1.70 % (2636651)Instruction limit reached!
% 7.02/1.71 % (2636651)------------------------------
% 7.02/1.71 % (2636651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.71 % (2636651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.71 % (2636651)CaDiCaL version: 2.1.3
% 7.02/1.71 % (2636651)Termination reason: Instruction limit
% 7.02/1.71 % (2636651)Termination phase: Saturation
% 7.02/1.71 % (2636651)Time elapsed: 0.092 s
% 7.02/1.71 % (2636651)Peak memory usage: 135 MB
% 7.02/1.71 % (2636651)Instructions burned: 66 (million)
% 7.02/1.71 % (2636661)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3184432063:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 7.02/1.71 % (2636665)dis+10_1_si=on:random_seed=1676706450:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 7.02/1.71 % (2636665)Instruction limit reached!
% 7.02/1.71 % (2636665)------------------------------
% 7.02/1.71 % (2636665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.71 % (2636665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.71 % (2636665)CaDiCaL version: 2.1.3
% 7.02/1.71 % (2636665)Termination reason: Instruction limit
% 7.02/1.71 % (2636665)Termination phase: Saturation
% 7.02/1.71 % (2636665)Time elapsed: 0.004 s
% 7.02/1.71 % (2636665)Peak memory usage: 88 MB
% 7.02/1.71 % (2636665)Instructions burned: 12 (million)
% 7.02/1.71 % (2636661)First to succeed.
% 7.02/1.71 % (2636661)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2636619"
% 7.02/1.71 % (2636649)------------------------------
% 7.02/1.71 % (2636649)------------------------------
% 7.02/1.71 % (2636668)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2825907305:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 7.02/1.71 % (2636668)Refutation not found, incomplete strategy
% 7.02/1.71 % (2636668)------------------------------
% 7.02/1.71 % (2636668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.71 % (2636668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.71 % (2636668)CaDiCaL version: 2.1.3
% 7.02/1.71 % (2636668)Termination reason: Refutation not found, incomplete strategy
% 7.02/1.71 % (2636668)Time elapsed: 0.002 s
% 0.19/1.80 % (2636668)Peak memory usage: 89 MB
% 0.19/1.80 % (2636668)Instructions burned: 2 (million)
% 0.19/1.80 % (2636669)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2945566822: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_2993 on theBenchmark for (2993ds/35Mi)
% 0.19/1.80 % (2636670)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3140815554:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 0.19/1.80 % (2636671)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3376238799:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 0.19/1.80 % (2636670)Instruction limit reached!
% 0.19/1.80 % (2636670)------------------------------
% 0.19/1.80 % (2636670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.80 % (2636670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.80 % (2636670)CaDiCaL version: 2.1.3
% 0.19/1.80 % (2636670)Termination reason: Instruction limit
% 0.19/1.80 % (2636670)Termination phase: Saturation
% 0.19/1.80 % (2636670)Time elapsed: 0.003 s
% 0.19/1.80 % (2636670)Peak memory usage: 88 MB
% 0.19/1.80 % (2636670)Instructions burned: 4 (million)
% 0.19/1.80 % (2636669)Instruction limit reached!
% 0.19/1.80 % (2636669)------------------------------
% 0.19/1.80 % (2636669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.80 % (2636669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.80 % (2636669)CaDiCaL version: 2.1.3
% 0.19/1.80 % (2636669)Termination reason: Instruction limit
% 0.19/1.80 % (2636669)Termination phase: Saturation
% 0.19/1.80 % (2636669)Time elapsed: 0.020 s
% 0.19/1.80 % (2636669)Peak memory usage: 89 MB
% 0.19/1.80 % (2636669)Instructions burned: 35 (million)
% 0.19/1.80 % (2636671)Instruction limit reached!
% 0.19/1.80 % (2636671)------------------------------
% 0.19/1.80 % (2636671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.80 % (2636671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.80 % (2636671)CaDiCaL version: 2.1.3
% 0.19/1.80 % (2636671)Termination reason: Instruction limit
% 0.19/1.80 % (2636671)Termination phase: Saturation
% 0.19/1.80 % (2636671)Time elapsed: 0.006 s
% 0.19/1.80 % (2636671)Peak memory usage: 88 MB
% 0.19/1.80 % (2636671)Instructions burned: 8 (million)
% 0.19/1.80 % (2636674)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=4105463702:i=370:ep=RS:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/370Mi)
% 0.19/1.80 % (2636674)Refutation not found, incomplete strategy
% 0.19/1.80 % (2636674)------------------------------
% 0.19/1.80 % (2636674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.80 % (2636674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.80 % (2636674)CaDiCaL version: 2.1.3
% 0.19/1.80 % (2636674)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.80 % (2636674)Time elapsed: 0.001 s
% 0.19/1.80 % (2636674)Peak memory usage: 88 MB
% 0.19/1.80 % (2636675)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2524062169:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2992 on theBenchmark for (2992ds/13Mi)
% 0.19/1.80 % (2636675)Instruction limit reached!
% 0.19/1.80 % (2636675)------------------------------
% 0.19/1.80 % (2636675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.80 % (2636675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.80 % (2636675)CaDiCaL version: 2.1.3
% 0.19/1.80 % (2636675)Termination reason: Instruction limit
% 0.19/1.80 % (2636675)Termination phase: Saturation
% 0.19/1.80 % (2636675)Time elapsed: 0.033 s
% 0.19/1.80 % (2636675)Peak memory usage: 116 MB
% 0.19/1.80 % (2636675)Instructions burned: 14 (million)
% 0.19/1.80 % (2636680)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3436074923:i=226:rtra=on:gtg=position:ss=axioms_2991 on theBenchmark for (2991ds/226Mi)
% 0.19/1.80 % (2636682)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1179188373:i=71:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/71Mi)
% 0.19/1.80 % (2636681)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=4211700881:i=10:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 0.19/1.80 % (2636681)Refutation not found, incomplete strategy
% 0.19/1.80 % (2636681)------------------------------
% 0.19/1.80 % (2636681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.80 % (2636681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.80 % (2636681)CaDiCaL version: 2.1.3
% 0.19/1.80 % (2636681)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.80 % (2636681)Time elapsed: 0.001 s
% 0.19/1.80 % (2636681)Peak memory usage: 88 MB
% 0.19/1.80 % (2636674)------------------------------
% 0.19/1.80 % (2636674)------------------------------
% 0.19/1.80 % (2636661)Refutation found. Thanks to Tanya!
% 0.19/1.80 % SZS status Theorem for theBenchmark
% 0.19/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.80 % (2636661)------------------------------
% 0.19/1.80 % (2636661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.80 % (2636661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.80 % (2636661)CaDiCaL version: 2.1.3
% 0.19/1.80 % (2636661)Termination reason: Refutation
% 0.19/1.80 % (2636661)Time elapsed: 0.065 s
% 0.19/1.80 % (2636661)Peak memory usage: 119 MB
% 0.19/1.80 % (2636661)Instructions burned: 54 (million)
% 0.19/1.80 % (2636661)------------------------------
% 0.19/1.80 % (2636661)------------------------------
% 0.19/1.80 % (2636619)Success in time 1.037 s
% 0.19/1.80 % Vampire exiting
%------------------------------------------------------------------------------