%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL894+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 11:56:57 AM UTC 2026
% Result : Theorem 0.17s 1.80s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 75 ( 16 unt; 3 def)
% Number of atoms : 165 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 157 ( 67 ~; 71 |; 9 &)
% ( 6 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( '>='(X0,X1)
& '>='(X1,X2) )
=> '>='(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f7,axiom,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f9,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f11,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('==>'(X2,X0),'==>'(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f12,axiom,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(f13,conjecture,
( ( '>='(c,a)
& '>='(c,b) )
<=> '>='(c,'+'(a,'==>'(a,b))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13) ).
fof(f14,negated_conjecture,
~ ( ( '>='(c,a)
& '>='(c,b) )
<=> '>='(c,'+'(a,'==>'(a,b))) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
( ( '>='(c,a)
& '>='(c,b) )
<~> '>='(c,'+'(a,'==>'(a,b))) ),
inference(ennf_transformation,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f17,plain,
! [X0,X1,X2] :
( '>='(X0,X2)
| ~ '>='(X0,X1)
| ~ '>='(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f18,plain,
! [X0,X1,X2] :
( '>='(X0,X2)
| ~ '>='(X0,X1)
| ~ '>='(X1,X2) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( '>='('==>'(X2,X0),'==>'(X2,X1))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f21,plain,
( ( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,a)
| ~ '>='(c,b) )
& ( '>='(c,'+'(a,'==>'(a,b)))
| ( '>='(c,a)
& '>='(c,b) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f22,plain,
( ( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,a)
| ~ '>='(c,b) )
& ( '>='(c,'+'(a,'==>'(a,b)))
| ( '>='(c,a)
& '>='(c,b) ) ) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f24,plain,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,b) ),
inference(cnf_transformation,[],[f22]) ).
fof(f25,plain,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,a) ),
inference(cnf_transformation,[],[f22]) ).
fof(f26,plain,
( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,a)
| ~ '>='(c,b) ),
inference(cnf_transformation,[],[f22]) ).
fof(f27,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ '>='(X1,'==>'(X0,X2))
| '>='('+'(X0,X1),X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f31,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ '>='(X1,X2)
| ~ '>='(X0,X1)
| '>='(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] :
( '>='('==>'(X2,X0),'==>'(X2,X1))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,definition,
( spl0_1
<=> '>='(c,b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f41,plain,
( '>='(c,b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f43,definition,
( spl0_2
<=> '>='(c,'+'(a,'==>'(a,b))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f44,plain,
( ~ '>='(c,'+'(a,'==>'(a,b)))
| spl0_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f45,plain,
( '>='(c,'+'(a,'==>'(a,b)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f46,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f43,f39]) ).
fof(f48,definition,
( spl0_3
<=> '>='(c,a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f49,plain,
( ~ '>='(c,a)
| spl0_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( '>='(c,a)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f43,f48]) ).
fof(f52,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f26,f43,f48,f39]) ).
fof(f56,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f31,f32]) ).
fof(f57,plain,
( ~ '>='('+'(a,'==>'(a,b)),a)
| ~ spl0_2
| spl0_3 ),
inference(unit_resulting_resolution,[],[f34,f49,f45]) ).
fof(f92,plain,
! [X0,X1] : '>='(X0,'==>'(X1,'+'(X1,X0))),
inference(unit_resulting_resolution,[],[f29,f35]) ).
fof(f93,plain,
! [X0,X1] :
( '>='('0','==>'(X0,X1))
| ~ '>='(X0,X1) ),
inference(superposition,[],[f29,f31]) ).
fof(f110,plain,
( ~ '>='('==>'(a,b),'==>'(a,a))
| ~ spl0_2
| spl0_3 ),
inference(unit_resulting_resolution,[],[f30,f57]) ).
fof(f111,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(unit_resulting_resolution,[],[f30,f35]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,'==>'(X0,X1)),X2)
| '>='('==>'(X1,X0),'==>'(X1,X2)) ),
inference(superposition,[],[f29,f27]) ).
fof(f312,plain,
( '>='(c,b)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f34,f45,f111]) ).
fof(f319,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f312,f43,f39]) ).
fof(f321,plain,
( ! [X0] : '>='('==>'(X0,c),'==>'(X0,b))
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f36,f41]) ).
fof(f359,plain,
( ! [X0,X1] : '>='('==>'(X0,c),'==>'(X1,'+'(X1,'==>'(X0,b))))
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f34,f92,f321]) ).
fof(f789,plain,
( ~ '>='('+'(b,'==>'(b,a)),a)
| ~ spl0_2
| spl0_3 ),
inference(unit_resulting_resolution,[],[f138,f110]) ).
fof(f805,plain,
( $false
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f789,f111]) ).
fof(f806,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f817,plain,
( '>='('0','==>'(c,a))
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f93,f50]) ).
fof(f827,plain,
( ! [X0] : '>='('+'('0',X0),'+'('==>'(c,a),X0))
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f28,f817]) ).
fof(f838,plain,
( ! [X0] : '>='(X0,'+'('==>'(c,a),X0))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f827,f56]) ).
fof(f3390,plain,
( ! [X0,X1] : '>='('+'(X0,'==>'(X1,c)),'+'(X0,'==>'(X1,b)))
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f30,f359]) ).
fof(f3512,plain,
( ~ '>='('+'('==>'(c,a),c),'+'(a,'==>'(a,b)))
| spl0_2
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f34,f44,f838]) ).
fof(f3627,plain,
( ~ '>='('+'(c,'==>'(c,a)),'+'(a,'==>'(a,b)))
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f3512,f32]) ).
fof(f3656,plain,
( ~ '>='('+'(a,'==>'(a,c)),'+'(a,'==>'(a,b)))
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f3627,f27]) ).
fof(f3659,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f3656,f3390]) ).
fof(f3660,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f3659]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f46]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f51]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f52]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f319]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f806]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f3660]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s1,s4]) ).
cnf(s9,plain,
spl0_2,
inference(rat,[],[s2,s7,s8]) ).
cnf(s10,plain,
spl0_3,
inference(rat,[],[s6,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s3,s8,s10,s9]) ).
fof(f3661,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL894+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:11:01 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.17/1.60 % (3806060)Detected formulas, will run a generic FOF schedule.
% 3.17/1.60 % (3806067)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3032279336:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.17/1.60 % (3806068)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=464825131:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.17/1.60 % (3806066)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=942387461:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.17/1.60 % (3806069)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=382283685:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.17/1.60 % (3806071)dis-21_1_sil=8000:lcm=predicate:random_seed=1741378236:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.17/1.60 % (3806070)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=872408824:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.17/1.60 % (3806065)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2074197146:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.17/1.60 % (3806069)Instruction limit reached!
% 3.17/1.60 % (3806069)------------------------------
% 3.17/1.60 % (3806069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.60 % (3806069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.60 % (3806069)CaDiCaL version: 2.1.3
% 3.17/1.60 % (3806069)Termination reason: Instruction limit
% 3.17/1.60 % (3806069)Termination phase: Saturation
% 3.17/1.60 % (3806069)Time elapsed: 0.067 s
% 3.17/1.60 % (3806069)Peak memory usage: 88 MB
% 3.17/1.60 % (3806069)Instructions burned: 119 (million)
% 3.17/1.60 % (3806068)Instruction limit reached!
% 3.17/1.60 % (3806068)------------------------------
% 3.17/1.60 % (3806068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.60 % (3806068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.60 % (3806068)CaDiCaL version: 2.1.3
% 3.17/1.60 % (3806068)Termination reason: Instruction limit
% 3.17/1.60 % (3806068)Termination phase: Saturation
% 3.17/1.60 % (3806068)Time elapsed: 0.067 s
% 3.17/1.60 % (3806068)Peak memory usage: 89 MB
% 3.17/1.60 % (3806068)Instructions burned: 110 (million)
% 3.17/1.60 % (3806071)Instruction limit reached!
% 3.17/1.60 % (3806071)------------------------------
% 3.17/1.60 % (3806071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.60 % (3806071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.60 % (3806071)CaDiCaL version: 2.1.3
% 3.17/1.60 % (3806071)Termination reason: Instruction limit
% 3.17/1.60 % (3806071)Termination phase: Saturation
% 3.17/1.60 % (3806071)Time elapsed: 0.079 s
% 3.17/1.60 % (3806071)Peak memory usage: 89 MB
% 3.17/1.60 % (3806071)Instructions burned: 130 (million)
% 3.17/1.60 % (3806070)Instruction limit reached!
% 3.17/1.60 % (3806070)------------------------------
% 3.17/1.60 % (3806070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.60 % (3806070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.60 % (3806070)CaDiCaL version: 2.1.3
% 3.17/1.60 % (3806070)Termination reason: Instruction limit
% 3.17/1.60 % (3806070)Termination phase: Saturation
% 3.17/1.60 % (3806070)Time elapsed: 0.088 s
% 3.17/1.60 % (3806070)Peak memory usage: 89 MB
% 3.17/1.60 % (3806070)Instructions burned: 139 (million)
% 3.17/1.60 % (3806081)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3708518037:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.17/1.60 % (3806079)lrs+10_1_sil=8000:sp=occurrence:random_seed=809419462:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.17/1.60 % (3806080)lrs+10_1_sil=32000:urr=on:br=off:random_seed=636451657:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.17/1.60 % (3806082)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1053749420:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.17/1.60 % (3806080)First to succeed.
% 3.17/1.60 % (3806080)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3806060"
% 0.17/1.80 % (3806081)Instruction limit reached!
% 0.17/1.80 % (3806081)------------------------------
% 0.17/1.80 % (3806081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.80 % (3806081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.80 % (3806081)CaDiCaL version: 2.1.3
% 0.17/1.80 % (3806081)Termination reason: Instruction limit
% 0.17/1.80 % (3806081)Termination phase: Saturation
% 0.17/1.80 % (3806081)Time elapsed: 0.112 s
% 0.17/1.80 % (3806081)Peak memory usage: 92 MB
% 0.17/1.80 % (3806081)Instructions burned: 327 (million)
% 0.17/1.80 % (3806082)Instruction limit reached!
% 0.17/1.80 % (3806082)------------------------------
% 0.17/1.80 % (3806082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.80 % (3806082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.80 % (3806082)CaDiCaL version: 2.1.3
% 0.17/1.80 % (3806082)Termination reason: Instruction limit
% 0.17/1.80 % (3806082)Termination phase: Saturation
% 0.17/1.80 % (3806082)Time elapsed: 0.152 s
% 0.17/1.80 % (3806082)Peak memory usage: 92 MB
% 0.17/1.80 % (3806082)Instructions burned: 248 (million)
% 0.17/1.80 % (3806079)Instruction limit reached!
% 0.17/1.80 % (3806079)------------------------------
% 0.17/1.80 % (3806079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.80 % (3806079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.80 % (3806079)CaDiCaL version: 2.1.3
% 0.17/1.80 % (3806079)Termination reason: Instruction limit
% 0.17/1.80 % (3806079)Termination phase: Saturation
% 0.17/1.80 % (3806079)Time elapsed: 0.183 s
% 0.17/1.80 % (3806079)Peak memory usage: 91 MB
% 0.17/1.80 % (3806079)Instructions burned: 286 (million)
% 0.17/1.80 % (3806087)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=299217592:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 0.17/1.80 % (3806088)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1482047365:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 0.17/1.80 % (3806087)Instruction limit reached!
% 0.17/1.80 % (3806087)------------------------------
% 0.17/1.80 % (3806087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.80 % (3806087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.80 % (3806087)CaDiCaL version: 2.1.3
% 0.17/1.80 % (3806087)Termination reason: Instruction limit
% 0.17/1.80 % (3806087)Termination phase: Saturation
% 0.17/1.80 % (3806087)Time elapsed: 0.094 s
% 0.17/1.80 % (3806087)Peak memory usage: 89 MB
% 0.17/1.80 % (3806087)Instructions burned: 294 (million)
% 0.17/1.80 % (3806080)Refutation found. Thanks to Tanya!
% 0.17/1.80 % SZS status Theorem for theBenchmark
% 0.17/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.80 % (3806080)------------------------------
% 0.17/1.80 % (3806080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.80 % (3806080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.80 % (3806080)CaDiCaL version: 2.1.3
% 0.17/1.80 % (3806080)Termination reason: Refutation
% 0.17/1.80 % (3806080)Time elapsed: 0.076 s
% 0.17/1.80 % (3806080)Peak memory usage: 91 MB
% 0.17/1.80 % (3806080)Instructions burned: 121 (million)
% 0.17/1.80 % (3806080)------------------------------
% 0.17/1.80 % (3806080)------------------------------
% 0.17/1.80 % (3806060)Success in time 0.738 s
% 0.17/1.80 % Vampire exiting
%------------------------------------------------------------------------------