%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT005-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:45:48 AM UTC 2026
% Result : Unsatisfiable 11.73s 2.62s
% Output : Refutation 11.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 100 ( 83 unt; 6 def)
% Number of atoms : 117 ( 94 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 16 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f11,axiom,
! [X0] : join(X0,n0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_join_0) ).
fof(f12,axiom,
! [X0] : meet(X0,n1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_meet_1) ).
fof(f15,axiom,
! [X2,X0,X1] :
( meet(X0,X1) != X0
| meet(X1,join(X0,X2)) = join(X0,meet(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular) ).
fof(f16,axiom,
! [X0,X1] :
( ~ complement(X0,X1)
| meet(X0,X1) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_meet) ).
fof(f17,axiom,
! [X0,X1] :
( ~ complement(X0,X1)
| join(X0,X1) = n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_join) ).
fof(f19,axiom,
complement(r1,join(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_a_join_b) ).
fof(f20,axiom,
complement(r2,meet(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_a_meet_b) ).
fof(f21,negated_conjecture,
r1 != meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lemma) ).
fof(f22,definition,
sF0 = meet(r2,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
meet(r2,b) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF1 = join(r1,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f25,plain,
join(r1,sF0) = sF1,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF2 = meet(r2,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f27,plain,
meet(r2,a) = sF2,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF3 = join(r1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f29,plain,
join(r1,sF2) = sF3,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF4 = meet(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f31,plain,
meet(sF1,sF3) = sF4,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
r1 != sF4,
inference(definition_folding,[],[f21,f31,f29,f27,f25,f23]) ).
fof(f33,plain,
n1 = join(r2,meet(a,b)),
inference(resolution,[],[f20,f17]) ).
fof(f40,plain,
sF0 = meet(b,r2),
inference(superposition,[],[f23,f5]) ).
fof(f42,plain,
n0 = meet(r2,meet(a,b)),
inference(resolution,[],[f16,f20]) ).
fof(f49,plain,
sF3 = join(sF2,r1),
inference(superposition,[],[f29,f6]) ).
fof(f51,plain,
r1 = meet(r1,sF3),
inference(superposition,[],[f3,f29]) ).
fof(f52,plain,
r1 = meet(r1,sF1),
inference(superposition,[],[f3,f25]) ).
fof(f54,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f55,plain,
n0 = meet(r1,join(a,b)),
inference(resolution,[],[f19,f16]) ).
fof(f58,plain,
r2 = join(r2,sF2),
inference(superposition,[],[f4,f27]) ).
fof(f61,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f64,plain,
b = join(b,sF0),
inference(superposition,[],[f4,f40]) ).
fof(f69,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f72,plain,
! [X0] : meet(b,meet(r2,X0)) = meet(sF0,X0),
inference(superposition,[],[f7,f40]) ).
fof(f73,plain,
! [X0] : meet(sF0,X0) = meet(r2,meet(b,X0)),
inference(superposition,[],[f7,f23]) ).
fof(f75,plain,
! [X0] : meet(sF1,meet(sF3,X0)) = meet(sF4,X0),
inference(superposition,[],[f7,f31]) ).
fof(f90,plain,
! [X2,X0,X1] :
( X0 != X0
| meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X2,join(X0,X1))) ),
inference(superposition,[],[f15,f3]) ).
fof(f97,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X2,join(X0,X1))),
inference(trivial_inequality_removal,[],[f90]) ).
fof(f143,plain,
! [X0] : join(sF1,X0) = join(r1,join(sF0,X0)),
inference(superposition,[],[f8,f25]) ).
fof(f163,plain,
r1 = meet(sF1,r1),
inference(superposition,[],[f5,f52]) ).
fof(f167,plain,
! [X0] :
( r1 != r1
| meet(sF3,join(r1,X0)) = join(r1,meet(X0,sF3)) ),
inference(superposition,[],[f15,f51]) ).
fof(f172,plain,
! [X0] : meet(sF3,join(r1,X0)) = join(r1,meet(X0,sF3)),
inference(trivial_inequality_removal,[],[f167]) ).
fof(f207,plain,
! [X2,X0,X1] :
( X0 != X0
| meet(join(X1,X0),join(X0,X2)) = join(X0,meet(X2,join(X1,X0))) ),
inference(superposition,[],[f15,f54]) ).
fof(f208,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f54]) ).
fof(f211,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,X2)) = join(X0,meet(X2,join(X1,X0))),
inference(trivial_inequality_removal,[],[f207]) ).
fof(f228,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f61]) ).
fof(f240,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X2,X0)),
inference(superposition,[],[f211,f4]) ).
fof(f250,plain,
! [X0,X1] : join(X1,X0) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f211,f3]) ).
fof(f258,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X1)) = X1,
inference(superposition,[],[f4,f211]) ).
fof(f267,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(forward_demodulation,[],[f258,f2]) ).
fof(f410,plain,
b = join(sF0,b),
inference(superposition,[],[f6,f64]) ).
fof(f519,plain,
join(sF1,b) = join(r1,b),
inference(superposition,[],[f143,f410]) ).
fof(f630,plain,
meet(sF0,a) = meet(b,sF2),
inference(superposition,[],[f72,f27]) ).
fof(f714,plain,
sF2 = meet(r2,sF2),
inference(superposition,[],[f267,f58]) ).
fof(f723,plain,
meet(b,sF2) = meet(sF0,sF2),
inference(superposition,[],[f72,f714]) ).
fof(f732,plain,
meet(sF0,a) = meet(sF0,sF2),
inference(forward_demodulation,[],[f723,f630]) ).
fof(f970,plain,
! [X0] : meet(sF0,X0) = meet(r2,meet(X0,b)),
inference(superposition,[],[f73,f5]) ).
fof(f1067,plain,
n1 = meet(join(meet(a,b),r2),n1),
inference(superposition,[],[f250,f33]) ).
fof(f1094,plain,
n1 = join(meet(a,b),r2),
inference(forward_demodulation,[],[f1067,f12]) ).
fof(f1354,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f69,f5]) ).
fof(f1542,plain,
! [X0] : join(meet(a,X0),sF2) = meet(a,join(meet(a,X0),r2)),
inference(superposition,[],[f240,f27]) ).
fof(f1717,plain,
n0 = meet(sF0,a),
inference(superposition,[],[f42,f970]) ).
fof(f1741,plain,
n0 = meet(sF0,sF2),
inference(forward_demodulation,[],[f1717,f732]) ).
fof(f4157,plain,
meet(a,n1) = join(meet(a,b),sF2),
inference(superposition,[],[f1542,f1094]) ).
fof(f4188,plain,
a = join(meet(a,b),sF2),
inference(forward_demodulation,[],[f4157,f12]) ).
fof(f6991,plain,
! [X0] : meet(sF1,sF3) = meet(sF4,join(sF1,X0)),
inference(superposition,[],[f1354,f75]) ).
fof(f7013,plain,
! [X0] : sF4 = meet(sF4,join(sF1,X0)),
inference(forward_demodulation,[],[f6991,f31]) ).
fof(f8312,plain,
join(b,a) = join(b,sF2),
inference(superposition,[],[f228,f4188]) ).
fof(f8462,plain,
join(a,b) = join(b,sF2),
inference(superposition,[],[f6,f8312]) ).
fof(f8504,plain,
join(a,b) = join(sF2,b),
inference(superposition,[],[f6,f8462]) ).
fof(f8606,plain,
n0 = meet(r1,join(sF2,b)),
inference(superposition,[],[f55,f8504]) ).
fof(f8721,definition,
( spl5_96
<=> n0 = meet(b,sF3) ),
introduced(definition,[new_symbols(definition,[spl5_96])],[avatar_definition]) ).
fof(f8722,plain,
( n0 = meet(b,sF3)
| ~ spl5_96 ),
inference(avatar_component_clause,[],[f8721]) ).
fof(f8723,plain,
( n0 != meet(b,sF3)
| spl5_96 ),
inference(avatar_component_clause,[],[f8721]) ).
fof(f8731,plain,
join(sF2,n0) = meet(join(sF2,b),join(sF2,r1)),
inference(superposition,[],[f97,f8606]) ).
fof(f8756,plain,
join(sF2,n0) = meet(join(sF2,b),sF3),
inference(forward_demodulation,[],[f8731,f49]) ).
fof(f8765,plain,
sF2 = meet(join(sF2,b),sF3),
inference(forward_demodulation,[],[f8756,f11]) ).
fof(f8861,plain,
meet(b,sF2) = meet(b,sF3),
inference(superposition,[],[f208,f8765]) ).
fof(f8895,plain,
meet(sF0,a) = meet(b,sF3),
inference(forward_demodulation,[],[f8861,f630]) ).
fof(f8902,plain,
meet(sF0,sF2) = meet(b,sF3),
inference(forward_demodulation,[],[f8895,f732]) ).
fof(f8912,plain,
n0 = meet(b,sF3),
inference(forward_demodulation,[],[f8902,f1741]) ).
fof(f8913,plain,
( $false
| spl5_96 ),
inference(forward_subsumption_resolution,[],[f8912,f8723]) ).
fof(f8914,plain,
spl5_96,
inference(avatar_contradiction_clause,[],[f8913]) ).
fof(f8921,plain,
( join(r1,n0) = meet(sF3,join(r1,b))
| ~ spl5_96 ),
inference(superposition,[],[f172,f8722]) ).
fof(f8949,plain,
( join(r1,n0) = meet(sF3,join(sF1,b))
| ~ spl5_96 ),
inference(forward_demodulation,[],[f8921,f519]) ).
fof(f8961,plain,
( r1 = meet(sF3,join(sF1,b))
| ~ spl5_96 ),
inference(forward_demodulation,[],[f8949,f11]) ).
fof(f8963,plain,
( meet(sF1,r1) = meet(sF4,join(sF1,b))
| ~ spl5_96 ),
inference(superposition,[],[f75,f8961]) ).
fof(f8993,plain,
( sF4 = meet(sF1,r1)
| ~ spl5_96 ),
inference(forward_demodulation,[],[f8963,f7013]) ).
fof(f8999,plain,
( r1 = sF4
| ~ spl5_96 ),
inference(forward_demodulation,[],[f8993,f163]) ).
fof(f9004,plain,
( $false
| ~ spl5_96 ),
inference(forward_subsumption_resolution,[],[f8999,f32]) ).
fof(f9005,plain,
~ spl5_96,
inference(avatar_contradiction_clause,[],[f9004]) ).
cnf(s51,plain,
spl5_96,
inference(sat_conversion,[],[f8914]) ).
cnf(s58,plain,
~ spl5_96,
inference(sat_conversion,[],[f9005]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s51,s58]) ).
fof(f9006,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT005-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 13:50:50 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 9.90/2.23 % (2563977)Input is clausal, will run a generic CNF schedule.
% 9.90/2.23 % (2563986)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3580731412:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.90/2.23 % (2563986)Instruction limit reached!
% 9.90/2.23 % (2563986)------------------------------
% 9.90/2.23 % (2563986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.23 % (2563986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.23 % (2563986)CaDiCaL version: 2.1.3
% 9.90/2.23 % (2563986)Termination reason: Instruction limit
% 9.90/2.23 % (2563986)Termination phase: Saturation
% 9.90/2.23 % (2563986)Time elapsed: 0.040 s
% 9.90/2.23 % (2563986)Peak memory usage: 89 MB
% 9.90/2.23 % (2563986)Instructions burned: 117 (million)
% 9.90/2.23 % (2563985)lrs+10_1_sil=8000:sp=occurrence:random_seed=31969186:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.90/2.23 % (2563983)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2682431971:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.90/2.23 % (2563982)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=1389794886:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.90/2.23 % (2563984)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2267743376:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.90/2.23 % (2563987)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3360274341:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.90/2.23 % (2563988)dis-21_1_sil=8000:lcm=predicate:random_seed=4110287185:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.90/2.23 % (2563988)Refutation not found, incomplete strategy
% 9.90/2.23 % (2563988)------------------------------
% 9.90/2.23 % (2563988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.23 % (2563988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.23 % (2563988)CaDiCaL version: 2.1.3
% 9.90/2.23 % (2563988)Termination reason: Refutation not found, incomplete strategy
% 9.90/2.23 % (2563988)Time elapsed: 0.002 s
% 9.90/2.23 % (2563988)Peak memory usage: 88 MB
% 9.90/2.23 % (2563988)Instructions burned: 2 (million)
% 9.90/2.23 % (2563985)Instruction limit reached!
% 9.90/2.23 % (2563985)------------------------------
% 9.90/2.23 % (2563985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.23 % (2563985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.23 % (2563985)CaDiCaL version: 2.1.3
% 9.90/2.23 % (2563985)Termination reason: Instruction limit
% 9.90/2.23 % (2563985)Termination phase: Saturation
% 9.90/2.23 % (2563985)Time elapsed: 0.067 s
% 9.90/2.23 % (2563985)Peak memory usage: 89 MB
% 9.90/2.23 % (2563985)Instructions burned: 108 (million)
% 9.90/2.23 % (2563990)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4271901440:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.90/2.23 % (2563990)Refutation not found, incomplete strategy
% 9.90/2.23 % (2563990)------------------------------
% 9.90/2.23 % (2563990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.23 % (2563990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.23 % (2563990)CaDiCaL version: 2.1.3
% 9.90/2.23 % (2563990)Termination reason: Refutation not found, incomplete strategy
% 9.90/2.23 % (2563990)Time elapsed: 0.001 s
% 9.90/2.23 % (2563990)Peak memory usage: 88 MB
% 9.90/2.23 % (2563990)Instructions burned: 2 (million)
% 9.90/2.23 % (2563987)Instruction limit reached!
% 9.90/2.23 % (2563987)------------------------------
% 9.90/2.23 % (2563987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.23 % (2563987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.23 % (2563987)CaDiCaL version: 2.1.3
% 9.90/2.23 % (2563987)Termination reason: Instruction limit
% 9.90/2.23 % (2563987)Termination phase: Saturation
% 9.90/2.23 % (2563987)Time elapsed: 0.104 s
% 9.90/2.23 % (2563987)Peak memory usage: 90 MB
% 9.90/2.23 % (2563987)Instructions burned: 181 (million)
% 9.90/2.23 % (2563997)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2465163251:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.95/2.42 % (2563999)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2444916067:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.95/2.42 % (2563990)------------------------------
% 10.95/2.42 % (2563990)------------------------------
% 10.95/2.42 % (2563988)------------------------------
% 10.95/2.42 % (2563988)------------------------------
% 10.95/2.42 % (2563997)Instruction limit reached!
% 10.95/2.42 % (2563997)------------------------------
% 10.95/2.42 % (2563997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.42 % (2563997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.42 % (2563997)CaDiCaL version: 2.1.3
% 10.95/2.42 % (2563997)Termination reason: Instruction limit
% 10.95/2.42 % (2563997)Termination phase: Saturation
% 10.95/2.42 % (2563997)Time elapsed: 0.120 s
% 10.95/2.42 % (2563997)Peak memory usage: 90 MB
% 10.95/2.42 % (2563997)Instructions burned: 189 (million)
% 10.95/2.42 % (2564002)lrs+10_64_to=lpo:sil=8000:random_seed=3149647074:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.95/2.42 % (2564002)Instruction limit reached!
% 10.95/2.42 % (2564002)------------------------------
% 10.95/2.42 % (2564002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.42 % (2564002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.42 % (2564002)CaDiCaL version: 2.1.3
% 10.95/2.42 % (2564002)Termination reason: Instruction limit
% 10.95/2.42 % (2564002)Termination phase: Saturation
% 10.95/2.42 % (2564002)Time elapsed: 0.041 s
% 10.95/2.42 % (2564002)Peak memory usage: 89 MB
% 10.95/2.42 % (2564002)Instructions burned: 129 (million)
% 10.95/2.42 % (2563999)Instruction limit reached!
% 10.95/2.42 % (2563999)------------------------------
% 10.95/2.42 % (2563999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.42 % (2563999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.42 % (2563999)CaDiCaL version: 2.1.3
% 10.95/2.42 % (2563999)Termination reason: Instruction limit
% 10.95/2.42 % (2563999)Termination phase: Saturation
% 10.95/2.42 % (2563999)Time elapsed: 0.139 s
% 10.95/2.42 % (2563999)Peak memory usage: 89 MB
% 10.95/2.42 % (2563999)Instructions burned: 220 (million)
% 10.95/2.42 % (2564003)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3866149665:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.95/2.42 % (2564004)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3575479304:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 10.95/2.42 % (2564006)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=135134678:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.95/2.42 % (2564003)Instruction limit reached!
% 10.95/2.42 % (2564003)------------------------------
% 10.95/2.42 % (2564003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.42 % (2564003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.42 % (2564003)CaDiCaL version: 2.1.3
% 10.95/2.42 % (2564003)Termination reason: Instruction limit
% 10.95/2.42 % (2564003)Termination phase: Saturation
% 10.95/2.42 % (2564003)Time elapsed: 0.116 s
% 10.95/2.43 % (2564003)Peak memory usage: 90 MB
% 10.95/2.43 % (2564003)Instructions burned: 194 (million)
% 10.95/2.43 % (2564007)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3772426403:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 10.95/2.43 % (2564004)Instruction limit reached!
% 10.95/2.43 % (2564004)------------------------------
% 10.95/2.43 % (2564004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (2564004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (2564004)CaDiCaL version: 2.1.3
% 10.95/2.43 % (2564004)Termination reason: Instruction limit
% 10.95/2.43 % (2564004)Termination phase: Saturation
% 10.95/2.43 % (2564004)Time elapsed: 0.098 s
% 10.95/2.43 % (2564004)Peak memory usage: 90 MB
% 10.95/2.43 % (2564004)Instructions burned: 157 (million)
% 10.95/2.43 % (2564007)Instruction limit reached!
% 10.95/2.43 % (2564007)------------------------------
% 10.95/2.43 % (2564007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (2564007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (2564007)CaDiCaL version: 2.1.3
% 10.95/2.43 % (2564007)Termination reason: Instruction limit
% 10.95/2.43 % (2564007)Termination phase: Saturation
% 10.95/2.43 % (2564007)Time elapsed: 0.064 s
% 10.95/2.43 % (2564007)Peak memory usage: 89 MB
% 10.95/2.43 % (2564007)Instructions burned: 106 (million)
% 10.95/2.43 % (2564012)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3833922052:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 10.95/2.43 % (2564013)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=352969808:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 10.95/2.43 % (2564014)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2657779175:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 10.95/2.43 % (2564012)Instruction limit reached!
% 10.95/2.43 % (2564012)------------------------------
% 10.95/2.43 % (2564012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (2564012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (2564012)CaDiCaL version: 2.1.3
% 10.95/2.43 % (2564012)Termination reason: Instruction limit
% 10.95/2.43 % (2564012)Termination phase: Saturation
% 10.95/2.43 % (2564012)Time elapsed: 0.065 s
% 10.95/2.43 % (2564012)Peak memory usage: 89 MB
% 10.95/2.43 % (2564012)Instructions burned: 108 (million)
% 10.95/2.43 % (2564013)Instruction limit reached!
% 10.95/2.43 % (2564013)------------------------------
% 10.95/2.43 % (2564013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (2564013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (2564013)CaDiCaL version: 2.1.3
% 10.95/2.43 % (2564013)Termination reason: Instruction limit
% 10.95/2.43 % (2564013)Termination phase: Saturation
% 10.95/2.43 % (2564013)Time elapsed: 0.139 s
% 10.95/2.43 % (2564013)Peak memory usage: 90 MB
% 10.95/2.43 % (2564013)Instructions burned: 242 (million)
% 10.95/2.43 % (2564018)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1664140504:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 10.95/2.43 % (2564018)Instruction limit reached!
% 10.95/2.43 % (2564018)------------------------------
% 10.95/2.43 % (2564018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (2564018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (2564018)CaDiCaL version: 2.1.3
% 10.95/2.43 % (2564018)Termination reason: Instruction limit
% 10.95/2.43 % (2564018)Termination phase: Saturation
% 10.95/2.43 % (2564018)Time elapsed: 0.076 s
% 10.95/2.43 % (2564018)Peak memory usage: 89 MB
% 10.95/2.43 % (2564018)Instructions burned: 134 (million)
% 10.95/2.43 % (2564019)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2177910381:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 10.95/2.43 % (2564021)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2706851804:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 10.95/2.43 % (2564021)Instruction limit reached!
% 10.95/2.43 % (2564021)------------------------------
% 10.95/2.43 % (2564021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (2564021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (2564021)CaDiCaL version: 2.1.3
% 10.95/2.43 % (2564021)Termination reason: Instruction limit
% 10.95/2.43 % (2564021)Termination phase: Saturation
% 10.95/2.43 % (2564021)Time elapsed: 0.119 s
% 10.95/2.43 % (2564021)Peak memory usage: 91 MB
% 10.95/2.43 % (2564021)Instructions burned: 191 (million)
% 10.95/2.43 % (2563982)First to succeed.
% 10.95/2.43 % (2563982)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2563977"
% 10.95/2.43 % (2564019)Instruction limit reached!
% 10.95/2.43 % (2564019)------------------------------
% 10.95/2.43 % (2564019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (2564019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (2564019)CaDiCaL version: 2.1.3
% 10.95/2.43 % (2564019)Termination reason: Instruction limit
% 10.95/2.43 % (2564019)Termination phase: Saturation
% 10.95/2.43 % (2564019)Time elapsed: 0.306 s
% 10.95/2.43 % (2564019)Peak memory usage: 94 MB
% 11.73/2.62 % (2564019)Instructions burned: 499 (million)
% 11.73/2.62 % (2564024)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=88722619:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 11.73/2.62 % (2564025)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4106061153:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 11.73/2.62 % (2563982)Refutation found. Thanks to Tanya!
% 11.73/2.62 % SZS status Unsatisfiable for theBenchmark
% 11.73/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 11.73/2.62 % (2563982)------------------------------
% 11.73/2.62 % (2563982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.62 % (2563982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.62 % (2563982)CaDiCaL version: 2.1.3
% 11.73/2.62 % (2563982)Termination reason: Refutation
% 11.73/2.62 % (2563982)Time elapsed: 1.165 s
% 11.73/2.62 % (2563982)Peak memory usage: 137 MB
% 11.73/2.62 % (2563982)Instructions burned: 1781 (million)
% 11.73/2.62 % (2563982)------------------------------
% 11.73/2.62 % (2563982)------------------------------
% 11.73/2.62 % (2563977)Success in time 1.576 s
% 11.73/2.62 % Vampire exiting
%------------------------------------------------------------------------------