%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT243-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:46:22 AM UTC 2026
% Result : Unsatisfiable 0.15s 2.60s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 50 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,join(X1,X2)))) = meet(X0,join(X1,meet(join(X0,X1),join(X2,meet(X0,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H57) ).
fof(f13,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f14,plain,
a = meet(b,a),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f16,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f15]) ).
fof(f17,plain,
b = join(b,a),
inference(superposition,[],[f4,f14]) ).
fof(f18,plain,
b = join(a,b),
inference(forward_demodulation,[],[f17,f6]) ).
fof(f26,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f27,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f69,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f5]) ).
fof(f80,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f102,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f27]) ).
fof(f135,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f9,f8]) ).
fof(f142,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f151,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f153,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f26,f3]) ).
fof(f157,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f153,f6]) ).
fof(f225,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f4,f102]) ).
fof(f226,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f26,f102]) ).
fof(f228,plain,
! [X0,X1] : meet(X0,join(zero,meet(X0,join(zero,X1)))) = meet(X0,meet(join(X0,zero),join(X1,meet(X0,zero)))),
inference(superposition,[],[f12,f102]) ).
fof(f230,plain,
! [X0,X1] : meet(X0,join(zero,meet(X0,join(zero,X1)))) = meet(X0,join(X1,meet(X0,zero))),
inference(forward_demodulation,[],[f228,f151]) ).
fof(f234,plain,
! [X0,X1] : meet(X0,join(zero,meet(X0,join(zero,X1)))) = meet(X0,join(X1,zero)),
inference(forward_demodulation,[],[f230,f226]) ).
fof(f237,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(zero,meet(X0,join(zero,X1)))),
inference(forward_demodulation,[],[f234,f27]) ).
fof(f238,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,join(zero,X1))),
inference(forward_demodulation,[],[f237,f102]) ).
fof(f239,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f238,f102]) ).
fof(f362,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f151,f10]) ).
fof(f383,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f362,f226]) ).
fof(f678,plain,
zero = meet(a,complement(b)),
inference(superposition,[],[f383,f18]) ).
fof(f713,plain,
! [X0] : meet(a,join(complement(b),meet(a,join(complement(b),X0)))) = meet(a,join(complement(b),meet(join(a,complement(b)),join(X0,zero)))),
inference(superposition,[],[f12,f678]) ).
fof(f722,plain,
! [X0] : meet(a,join(complement(b),meet(a,join(complement(b),X0)))) = meet(a,join(complement(b),meet(join(a,complement(b)),X0))),
inference(forward_demodulation,[],[f713,f27]) ).
fof(f734,plain,
meet(a,join(complement(b),zero)) = meet(a,join(complement(b),meet(a,join(complement(b),complement(join(a,complement(b))))))),
inference(superposition,[],[f722,f10]) ).
fof(f759,plain,
meet(a,join(complement(b),meet(a,join(complement(b),complement(join(a,complement(b))))))) = meet(a,join(zero,complement(b))),
inference(forward_demodulation,[],[f734,f6]) ).
fof(f771,plain,
meet(a,complement(b)) = meet(a,join(complement(b),meet(a,join(complement(b),complement(join(a,complement(b))))))),
inference(forward_demodulation,[],[f759,f102]) ).
fof(f779,plain,
zero = meet(a,join(complement(b),meet(a,join(complement(b),complement(join(a,complement(b))))))),
inference(forward_demodulation,[],[f771,f678]) ).
fof(f2314,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(superposition,[],[f11,f135]) ).
fof(f2330,plain,
! [X0,X1] :
( zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(trivial_inequality_removal,[],[f2314]) ).
fof(f7384,plain,
! [X0] : meet(zero,X0) = meet(join(complement(b),meet(a,join(complement(b),complement(join(a,complement(b)))))),meet(a,X0)),
inference(superposition,[],[f69,f779]) ).
fof(f7541,plain,
! [X0] : meet(zero,X0) = meet(a,meet(X0,join(complement(b),meet(a,join(complement(b),complement(join(a,complement(b)))))))),
inference(forward_demodulation,[],[f7384,f80]) ).
fof(f7618,plain,
! [X0] : zero = meet(a,meet(X0,join(complement(b),meet(a,join(complement(b),complement(join(a,complement(b)))))))),
inference(forward_demodulation,[],[f7541,f225]) ).
fof(f7685,plain,
zero = meet(a,meet(a,join(complement(b),complement(join(a,complement(b)))))),
inference(superposition,[],[f7618,f142]) ).
fof(f7746,plain,
zero = meet(a,join(complement(b),complement(join(a,complement(b))))),
inference(forward_demodulation,[],[f7685,f239]) ).
fof(f7788,plain,
( zero != zero
| complement(a) = join(complement(b),complement(join(a,complement(b)))) ),
inference(superposition,[],[f2330,f7746]) ).
fof(f7809,plain,
complement(a) = join(complement(b),complement(join(a,complement(b)))),
inference(trivial_inequality_removal,[],[f7788]) ).
fof(f7914,plain,
complement(a) = join(complement(b),complement(a)),
inference(superposition,[],[f157,f7809]) ).
fof(f7943,plain,
$false,
inference(forward_subsumption_resolution,[],[f7914,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT243-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 14:07:45 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 10.38/2.30 % (2445546)Input is clausal, will run a generic CNF schedule.
% 10.38/2.30 % (2445554)lrs+10_1_sil=8000:sp=occurrence:random_seed=2425984101:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.38/2.30 % (2445554)Instruction limit reached!
% 10.38/2.30 % (2445554)------------------------------
% 10.38/2.30 % (2445554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.30 % (2445554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.30 % (2445554)CaDiCaL version: 2.1.3
% 10.38/2.30 % (2445554)Termination reason: Instruction limit
% 10.38/2.30 % (2445554)Termination phase: Saturation
% 10.38/2.30 % (2445554)Time elapsed: 0.036 s
% 10.38/2.30 % (2445554)Peak memory usage: 89 MB
% 10.38/2.30 % (2445554)Instructions burned: 110 (million)
% 10.38/2.30 % (2445557)dis-21_1_sil=8000:lcm=predicate:random_seed=4287652633: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)
% 10.38/2.30 % (2445555)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3797340986:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.38/2.30 % (2445553)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=697266275:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.38/2.30 % (2445552)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3745942843:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.38/2.30 % (2445551)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=2029777639:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.38/2.30 % (2445556)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2029033899:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.38/2.30 % (2445557)Refutation not found, incomplete strategy
% 10.38/2.30 % (2445557)------------------------------
% 10.38/2.30 % (2445557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.30 % (2445557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.30 % (2445557)CaDiCaL version: 2.1.3
% 10.38/2.30 % (2445557)Termination reason: Refutation not found, incomplete strategy
% 10.38/2.30 % (2445557)Time elapsed: 0.002 s
% 10.38/2.30 % (2445557)Peak memory usage: 88 MB
% 10.38/2.30 % (2445557)Instructions burned: 1 (million)
% 10.38/2.30 % (2445555)Instruction limit reached!
% 10.38/2.30 % (2445555)------------------------------
% 10.38/2.30 % (2445555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.30 % (2445555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.30 % (2445555)CaDiCaL version: 2.1.3
% 10.38/2.30 % (2445555)Termination reason: Instruction limit
% 10.38/2.30 % (2445555)Termination phase: Saturation
% 10.38/2.30 % (2445555)Time elapsed: 0.072 s
% 10.38/2.30 % (2445555)Peak memory usage: 89 MB
% 10.38/2.30 % (2445555)Instructions burned: 115 (million)
% 10.38/2.30 % (2445556)Instruction limit reached!
% 10.38/2.30 % (2445556)------------------------------
% 10.38/2.30 % (2445556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.30 % (2445556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.30 % (2445556)CaDiCaL version: 2.1.3
% 10.38/2.30 % (2445556)Termination reason: Instruction limit
% 10.38/2.30 % (2445556)Termination phase: Saturation
% 10.38/2.30 % (2445556)Time elapsed: 0.101 s
% 10.38/2.30 % (2445556)Peak memory usage: 89 MB
% 10.38/2.30 % (2445556)Instructions burned: 181 (million)
% 10.38/2.30 % (2445559)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=1446677473:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.38/2.30 % (2445559)Instruction limit reached!
% 10.38/2.30 % (2445559)------------------------------
% 10.38/2.30 % (2445559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.30 % (2445559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.30 % (2445559)CaDiCaL version: 2.1.3
% 10.38/2.30 % (2445559)Termination reason: Instruction limit
% 10.38/2.30 % (2445559)Termination phase: Saturation
% 10.38/2.30 % (2445559)Time elapsed: 0.044 s
% 10.38/2.30 % (2445559)Peak memory usage: 89 MB
% 10.38/2.30 % (2445559)Instructions burned: 145 (million)
% 10.38/2.30 % (2445566)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3414756502: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)
% 6.24/2.41 % (2445557)------------------------------
% 6.24/2.41 % (2445557)------------------------------
% 6.24/2.41 % (2445567)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2655446834:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.24/2.41 % (2445569)lrs+10_64_to=lpo:sil=8000:random_seed=2952470412:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.24/2.41 % (2445569)Instruction limit reached!
% 6.24/2.41 % (2445569)------------------------------
% 6.24/2.41 % (2445569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445569)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445569)Termination reason: Instruction limit
% 6.24/2.41 % (2445569)Termination phase: Saturation
% 6.24/2.41 % (2445569)Time elapsed: 0.040 s
% 6.24/2.41 % (2445569)Peak memory usage: 88 MB
% 6.24/2.41 % (2445569)Instructions burned: 129 (million)
% 6.24/2.41 % (2445566)Instruction limit reached!
% 6.24/2.41 % (2445566)------------------------------
% 6.24/2.41 % (2445566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445566)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445566)Termination reason: Instruction limit
% 6.24/2.41 % (2445566)Termination phase: Saturation
% 6.24/2.41 % (2445566)Time elapsed: 0.120 s
% 6.24/2.41 % (2445566)Peak memory usage: 90 MB
% 6.24/2.41 % (2445566)Instructions burned: 189 (million)
% 6.24/2.41 % (2445567)Instruction limit reached!
% 6.24/2.41 % (2445567)------------------------------
% 6.24/2.41 % (2445567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445567)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445567)Termination reason: Instruction limit
% 6.24/2.41 % (2445567)Termination phase: Saturation
% 6.24/2.41 % (2445567)Time elapsed: 0.128 s
% 6.24/2.41 % (2445567)Peak memory usage: 90 MB
% 6.24/2.41 % (2445567)Instructions burned: 220 (million)
% 6.24/2.41 % (2445572)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2149847422:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.24/2.41 % (2445574)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1615435945:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.24/2.41 % (2445574)Instruction limit reached!
% 6.24/2.41 % (2445574)------------------------------
% 6.24/2.41 % (2445574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445574)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445574)Termination reason: Instruction limit
% 6.24/2.41 % (2445574)Termination phase: Saturation
% 6.24/2.41 % (2445574)Time elapsed: 0.052 s
% 6.24/2.41 % (2445574)Peak memory usage: 90 MB
% 6.24/2.41 % (2445574)Instructions burned: 157 (million)
% 6.24/2.41 % (2445575)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2573730946:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.24/2.41 % (2445572)Instruction limit reached!
% 6.24/2.41 % (2445572)------------------------------
% 6.24/2.41 % (2445572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445572)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445572)Termination reason: Instruction limit
% 6.24/2.41 % (2445572)Termination phase: Saturation
% 6.24/2.41 % (2445572)Time elapsed: 0.122 s
% 6.24/2.41 % (2445572)Peak memory usage: 90 MB
% 6.24/2.41 % (2445572)Instructions burned: 194 (million)
% 6.24/2.41 % (2445576)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=3363584795:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.24/2.41 % (2445576)Instruction limit reached!
% 6.24/2.41 % (2445576)------------------------------
% 6.24/2.41 % (2445576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445576)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445576)Termination reason: Instruction limit
% 6.24/2.41 % (2445576)Termination phase: Saturation
% 6.24/2.41 % (2445576)Time elapsed: 0.071 s
% 6.24/2.41 % (2445576)Peak memory usage: 89 MB
% 6.24/2.41 % (2445576)Instructions burned: 108 (million)
% 6.24/2.41 % (2445580)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1037909244:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.24/2.41 % (2445580)Instruction limit reached!
% 6.24/2.41 % (2445580)------------------------------
% 6.24/2.41 % (2445580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445580)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445580)Termination reason: Instruction limit
% 6.24/2.41 % (2445580)Termination phase: Saturation
% 6.24/2.41 % (2445580)Time elapsed: 0.035 s
% 6.24/2.41 % (2445580)Peak memory usage: 89 MB
% 6.24/2.41 % (2445580)Instructions burned: 107 (million)
% 6.24/2.41 % (2445581)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4093492084:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.24/2.41 % (2445583)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=488712039:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.24/2.41 % (2445585)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1694399550:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.24/2.41 % (2445585)Instruction limit reached!
% 6.24/2.41 % (2445585)------------------------------
% 6.24/2.41 % (2445585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445585)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445585)Termination reason: Instruction limit
% 6.24/2.41 % (2445585)Termination phase: Saturation
% 6.24/2.41 % (2445585)Time elapsed: 0.043 s
% 6.24/2.41 % (2445585)Peak memory usage: 90 MB
% 6.24/2.41 % (2445585)Instructions burned: 137 (million)
% 6.24/2.41 % (2445581)Instruction limit reached!
% 6.24/2.41 % (2445581)------------------------------
% 6.24/2.41 % (2445581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445581)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445581)Termination reason: Instruction limit
% 6.24/2.41 % (2445581)Termination phase: Saturation
% 6.24/2.41 % (2445581)Time elapsed: 0.138 s
% 6.24/2.41 % (2445581)Peak memory usage: 90 MB
% 6.24/2.41 % (2445581)Instructions burned: 243 (million)
% 6.24/2.41 % (2445589)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1785696804:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 6.24/2.41 % (2445590)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1749769923:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 6.24/2.41 % (2445552)First to succeed.
% 6.24/2.41 % (2445552)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2445546"
% 6.24/2.41 % (2445590)Instruction limit reached!
% 6.24/2.41 % (2445590)------------------------------
% 6.24/2.41 % (2445590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445590)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445590)Termination reason: Instruction limit
% 6.24/2.41 % (2445590)Termination phase: Saturation
% 6.24/2.41 % (2445590)Time elapsed: 0.125 s
% 6.24/2.41 % (2445590)Peak memory usage: 92 MB
% 6.24/2.41 % (2445590)Instructions burned: 191 (million)
% 6.24/2.41 % (2445589)Instruction limit reached!
% 6.24/2.41 % (2445589)------------------------------
% 6.24/2.41 % (2445589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.41 % (2445589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.41 % (2445589)CaDiCaL version: 2.1.3
% 6.24/2.41 % (2445589)Termination reason: Instruction limit
% 6.24/2.41 % (2445589)Termination phase: Saturation
% 6.24/2.41 % (2445589)Time elapsed: 0.170 s
% 6.24/2.41 % (2445589)Peak memory usage: 94 MB
% 6.24/2.41 % (2445589)Instructions burned: 499 (million)
% 6.24/2.41 % (2445593)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=585496515:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 0.15/2.60 % (2445594)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3489895005:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 0.15/2.60 % (2445594)Instruction limit reached!
% 0.15/2.60 % (2445594)------------------------------
% 0.15/2.60 % (2445594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.60 % (2445594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.60 % (2445594)CaDiCaL version: 2.1.3
% 0.15/2.60 % (2445594)Termination reason: Instruction limit
% 0.15/2.60 % (2445594)Termination phase: Saturation
% 0.15/2.60 % (2445594)Time elapsed: 0.052 s
% 0.15/2.60 % (2445594)Peak memory usage: 90 MB
% 0.15/2.60 % (2445594)Instructions burned: 157 (million)
% 0.15/2.60 % (2445552)Refutation found. Thanks to Tanya!
% 0.15/2.60 % SZS status Unsatisfiable for theBenchmark
% 0.15/2.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.60 % (2445552)------------------------------
% 0.15/2.60 % (2445552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.60 % (2445552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.60 % (2445552)CaDiCaL version: 2.1.3
% 0.15/2.60 % (2445552)Termination reason: Refutation
% 0.15/2.60 % (2445552)Time elapsed: 1.115 s
% 0.15/2.60 % (2445552)Peak memory usage: 135 MB
% 0.15/2.60 % (2445552)Instructions burned: 1733 (million)
% 0.15/2.60 % (2445552)------------------------------
% 0.15/2.60 % (2445552)------------------------------
% 0.15/2.60 % (2445546)Success in time 1.56 s
% 0.15/2.60 % Vampire exiting
%------------------------------------------------------------------------------