%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT397-2 : TPTP v9.3.1. Released v8.1.0.
% 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 11:47:36 AM UTC 2026
% Result : Unsatisfiable 8.34s 2.16s
% Output : Refutation 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 45 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 46 ( 34 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f3,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_001) ).
fof(f4,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_002) ).
fof(f5,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption_003) ).
fof(f7,axiom,
! [X2,X0,X1] : upme(X0,X1,X2) = meet(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_upme) ).
fof(f8,axiom,
! [X2,X0,X1] : lome(X0,X1,X2) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_lome) ).
fof(f11,axiom,
! [X2,X0,X1] : upme(meet(a,X0),X1,X2) = lome(meet(a,X0),X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).
fof(f12,axiom,
! [X2,X0,X1] :
( upme(a,X0,X1) != upme(a,X0,X2)
| upme(X0,X1,X2) = lome(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu2) ).
fof(f13,negated_conjecture,
lome(x,y,z) != meet(x,join(meet(y,join(x,z)),meet(z,join(x,y)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rl1) ).
fof(f14,plain,
! [X2,X0,X1] : meet(meet(a,X0),join(X1,X2)) = join(meet(meet(a,X0),X1),meet(meet(a,X0),X2)),
inference(definition_unfolding,[],[f11,f7,f8]) ).
fof(f15,plain,
! [X2,X0,X1] :
( meet(a,join(X0,X1)) != meet(a,join(X0,X2))
| meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)) ),
inference(definition_unfolding,[],[f12,f7,f7,f7,f8]) ).
fof(f16,plain,
meet(x,join(meet(y,join(x,z)),meet(z,join(x,y)))) != join(meet(x,y),meet(x,z)),
inference(definition_unfolding,[],[f13,f8]) ).
fof(f17,plain,
! [X2,X0,X1] : meet(meet(a,X0),join(X1,X2)) = join(meet(a,meet(X0,X1)),meet(meet(a,X0),X2)),
inference(backward_demodulation,[],[f14,f2]) ).
fof(f18,plain,
! [X2,X0,X1] : meet(meet(a,X0),join(X1,X2)) = join(meet(a,meet(X0,X1)),meet(a,meet(X0,X2))),
inference(forward_demodulation,[],[f17,f2]) ).
fof(f19,plain,
! [X2,X0,X1] : join(meet(a,meet(X0,X1)),meet(a,meet(X0,X2))) = meet(a,meet(X0,join(X1,X2))),
inference(forward_demodulation,[],[f18,f2]) ).
fof(f23,plain,
join(meet(x,y),meet(x,z)) != meet(x,join(meet(y,join(x,z)),meet(z,join(y,x)))),
inference(superposition,[],[f16,f3]) ).
fof(f24,plain,
join(meet(x,y),meet(x,z)) != meet(x,join(meet(y,join(z,x)),meet(z,join(y,x)))),
inference(forward_demodulation,[],[f23,f3]) ).
fof(f28,plain,
meet(x,join(meet(y,join(z,x)),meet(z,join(y,x)))) != join(meet(x,y),meet(z,x)),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f32,plain,
meet(x,join(meet(y,join(z,x)),meet(z,join(y,x)))) != join(meet(z,x),meet(x,y)),
inference(forward_demodulation,[],[f28,f3]) ).
fof(f36,plain,
meet(x,join(meet(y,join(z,x)),meet(z,join(y,x)))) != join(meet(z,x),meet(y,x)),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f40,plain,
meet(x,join(meet(y,join(z,x)),meet(z,join(y,x)))) != join(meet(y,x),meet(z,x)),
inference(forward_demodulation,[],[f36,f3]) ).
fof(f45,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f47,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f6,f3]) ).
fof(f60,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f47,f5]) ).
fof(f67,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f110,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f125,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f127,plain,
! [X2,X0,X1] : join(X2,meet(X0,meet(X1,X2))) = X2,
inference(superposition,[],[f45,f2]) ).
fof(f144,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[],[f110,f2]) ).
fof(f154,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X2,X0)),
inference(superposition,[],[f127,f6]) ).
fof(f172,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f154,f4]) ).
fof(f218,plain,
! [X2,X0,X1] : meet(X2,join(X0,join(X1,X2))) = X2,
inference(superposition,[],[f47,f4]) ).
fof(f262,plain,
! [X0,X1] : meet(a,join(X0,X1)) = join(meet(a,meet(a,X0)),meet(a,meet(a,X1))),
inference(superposition,[],[f67,f19]) ).
fof(f273,plain,
! [X0,X1] : meet(a,join(X0,X1)) = join(meet(a,meet(a,X0)),meet(a,X1)),
inference(forward_demodulation,[],[f262,f67]) ).
fof(f286,plain,
! [X0,X1] : meet(a,join(X0,X1)) = join(meet(a,X0),meet(a,X1)),
inference(forward_demodulation,[],[f273,f67]) ).
fof(f292,plain,
! [X2,X0,X1] :
( meet(a,join(X0,X2)) != join(meet(a,X0),meet(a,X1))
| meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)) ),
inference(backward_demodulation,[],[f15,f286]) ).
fof(f297,plain,
! [X2,X0,X1] :
( meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2))
| join(meet(a,X0),meet(a,X1)) != join(meet(a,X0),meet(a,X2)) ),
inference(forward_demodulation,[],[f292,f286]) ).
fof(f302,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(X2,X0)),
inference(superposition,[],[f218,f5]) ).
fof(f334,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f302,f2]) ).
fof(f1523,plain,
( join(meet(y,x),meet(z,x)) != join(meet(x,meet(y,join(z,x))),meet(x,meet(z,join(y,x))))
| join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),meet(a,meet(z,join(y,x)))) ),
inference(superposition,[],[f40,f297]) ).
fof(f1563,plain,
( join(meet(y,x),meet(z,x)) != join(meet(x,meet(y,join(z,x))),meet(x,z))
| join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),meet(a,meet(z,join(y,x)))) ),
inference(forward_demodulation,[],[f1523,f334]) ).
fof(f1603,plain,
( join(meet(y,x),meet(z,x)) != join(meet(x,z),meet(x,meet(y,join(z,x))))
| join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),meet(a,meet(z,join(y,x)))) ),
inference(forward_demodulation,[],[f1563,f3]) ).
fof(f1629,plain,
( join(meet(y,x),meet(z,x)) != join(meet(x,z),meet(x,y))
| join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),meet(a,meet(z,join(y,x)))) ),
inference(forward_demodulation,[],[f1603,f334]) ).
fof(f1636,plain,
( join(meet(x,y),meet(x,z)) != join(meet(y,x),meet(z,x))
| join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),meet(a,meet(z,join(y,x)))) ),
inference(forward_demodulation,[],[f1629,f3]) ).
fof(f1642,plain,
( join(meet(x,y),meet(z,x)) != join(meet(y,x),meet(z,x))
| join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),meet(a,meet(z,join(y,x)))) ),
inference(forward_demodulation,[],[f1636,f1]) ).
fof(f1647,plain,
( join(meet(z,x),meet(x,y)) != join(meet(y,x),meet(z,x))
| join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),meet(a,meet(z,join(y,x)))) ),
inference(forward_demodulation,[],[f1642,f3]) ).
fof(f1651,plain,
( join(meet(z,x),meet(y,x)) != join(meet(y,x),meet(z,x))
| join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),meet(a,meet(z,join(y,x)))) ),
inference(forward_demodulation,[],[f1647,f1]) ).
fof(f1655,plain,
join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),meet(a,meet(z,join(y,x)))),
inference(forward_subsumption_resolution,[],[f1651,f3]) ).
fof(f1658,plain,
join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),join(meet(a,meet(z,y)),meet(a,meet(z,x)))),
inference(forward_demodulation,[],[f1655,f19]) ).
fof(f1661,plain,
join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),join(meet(y,meet(a,z)),meet(a,meet(z,x)))),
inference(forward_demodulation,[],[f1658,f125]) ).
fof(f1668,plain,
join(meet(a,x),meet(a,meet(y,join(z,x)))) != join(meet(a,x),join(meet(a,meet(y,z)),meet(a,meet(z,x)))),
inference(forward_demodulation,[],[f1661,f144]) ).
fof(f1670,plain,
join(meet(a,x),join(meet(a,meet(y,z)),meet(a,meet(z,x)))) != join(meet(a,x),join(meet(a,meet(y,z)),meet(a,meet(y,x)))),
inference(forward_demodulation,[],[f1668,f19]) ).
fof(f1677,plain,
! [X2,X3,X0,X1] : join(meet(X0,X2),X3) = join(meet(X0,X2),join(X3,meet(X0,meet(X1,X2)))),
inference(superposition,[],[f172,f144]) ).
fof(f1766,plain,
join(meet(a,x),join(meet(a,meet(y,z)),meet(a,meet(z,x)))) != join(meet(a,x),meet(a,meet(y,z))),
inference(backward_demodulation,[],[f1670,f1677]) ).
fof(f1783,plain,
$false,
inference(forward_subsumption_resolution,[],[f1766,f1677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT397-2 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:21:01 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 6.68/1.96 % (3696266)Input is clausal, will run a generic CNF schedule.
% 6.68/1.96 % (3696272)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1699948498:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.68/1.96 % (3696274)lrs+10_1_sil=8000:sp=occurrence:random_seed=1482324580:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.68/1.96 % (3696277)dis-21_1_sil=8000:lcm=predicate:random_seed=2148621711: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)
% 6.68/1.96 % (3696276)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=157708098:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.68/1.96 % (3696273)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3059512953:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.68/1.96 % (3696275)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=704437621:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.68/1.96 % (3696271)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=4137375707:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.68/1.96 % (3696277)Refutation not found, incomplete strategy
% 6.68/1.96 % (3696277)------------------------------
% 6.68/1.96 % (3696277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696277)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696277)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.96 % (3696277)Time elapsed: 0.001 s
% 6.68/1.96 % (3696277)Peak memory usage: 88 MB
% 6.68/1.96 % (3696277)Instructions burned: 1 (million)
% 6.68/1.96 % (3696274)Instruction limit reached!
% 6.68/1.96 % (3696274)------------------------------
% 6.68/1.96 % (3696274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696274)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696274)Termination reason: Instruction limit
% 6.68/1.96 % (3696274)Termination phase: Saturation
% 6.68/1.96 % (3696274)Time elapsed: 0.065 s
% 6.68/1.96 % (3696274)Peak memory usage: 88 MB
% 6.68/1.96 % (3696274)Instructions burned: 109 (million)
% 6.68/1.96 % (3696275)Instruction limit reached!
% 6.68/1.96 % (3696275)------------------------------
% 6.68/1.96 % (3696275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696275)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696275)Termination reason: Instruction limit
% 6.68/1.96 % (3696275)Termination phase: Saturation
% 6.68/1.96 % (3696275)Time elapsed: 0.069 s
% 6.68/1.96 % (3696275)Peak memory usage: 88 MB
% 6.68/1.96 % (3696275)Instructions burned: 114 (million)
% 6.68/1.96 % (3696276)Instruction limit reached!
% 6.68/1.96 % (3696276)------------------------------
% 6.68/1.96 % (3696276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696276)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696276)Termination reason: Instruction limit
% 6.68/1.96 % (3696276)Termination phase: Saturation
% 6.68/1.96 % (3696276)Time elapsed: 0.106 s
% 6.68/1.96 % (3696276)Peak memory usage: 89 MB
% 6.68/1.96 % (3696276)Instructions burned: 181 (million)
% 6.68/1.96 % (3696285)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=553681730:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.68/1.96 % (3696286)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1276982655: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)
% 6.68/1.96 % (3696285)Refutation not found, incomplete strategy
% 6.68/1.96 % (3696285)------------------------------
% 6.68/1.96 % (3696285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696285)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696285)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.96 % (3696285)Time elapsed: 0.001 s
% 6.68/1.96 % (3696285)Peak memory usage: 87 MB
% 6.68/1.96 % (3696286)Refutation not found, incomplete strategy
% 6.68/1.96 % (3696286)------------------------------
% 6.68/1.96 % (3696286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696286)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696286)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.96 % (3696286)Time elapsed: 0.002 s
% 6.68/1.96 % (3696286)Peak memory usage: 88 MB
% 6.68/1.96 % (3696286)Instructions burned: 1 (million)
% 6.68/1.96 % (3696277)------------------------------
% 6.68/1.96 % (3696277)------------------------------
% 6.68/1.96 % (3696287)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2283703563:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.68/1.96 % (3696287)Refutation not found, incomplete strategy
% 6.68/1.96 % (3696287)------------------------------
% 6.68/1.96 % (3696287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696287)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696287)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.96 % (3696287)Time elapsed: 0.001 s
% 6.68/1.96 % (3696287)Peak memory usage: 88 MB
% 6.68/1.96 % (3696287)Instructions burned: 1 (million)
% 6.68/1.96 % (3696290)lrs+10_64_to=lpo:sil=8000:random_seed=2071700222:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.68/1.96 % (3696285)------------------------------
% 6.68/1.96 % (3696285)------------------------------
% 6.68/1.96 % (3696286)------------------------------
% 6.68/1.96 % (3696286)------------------------------
% 6.68/1.96 % (3696290)Instruction limit reached!
% 6.68/1.96 % (3696290)------------------------------
% 6.68/1.96 % (3696290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696290)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696290)Termination reason: Instruction limit
% 6.68/1.96 % (3696290)Termination phase: Saturation
% 6.68/1.96 % (3696290)Time elapsed: 0.072 s
% 6.68/1.96 % (3696290)Peak memory usage: 88 MB
% 6.68/1.96 % (3696290)Instructions burned: 126 (million)
% 6.68/1.96 % (3696287)------------------------------
% 6.68/1.96 % (3696287)------------------------------
% 6.68/1.96 % (3696293)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2486744973:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 6.68/1.96 % (3696294)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=738485206:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.68/1.96 % (3696295)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3596882861:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.68/1.96 % (3696293)First to succeed.
% 6.68/1.96 % (3696293)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3696266"
% 6.68/1.96 % (3696296)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=128204638:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.68/1.96 % (3696294)Instruction limit reached!
% 6.68/1.96 % (3696294)------------------------------
% 6.68/1.96 % (3696294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696294)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696294)Termination reason: Instruction limit
% 6.68/1.96 % (3696294)Termination phase: Saturation
% 6.68/1.96 % (3696294)Time elapsed: 0.095 s
% 6.68/1.96 % (3696294)Peak memory usage: 90 MB
% 6.68/1.96 % (3696294)Instructions burned: 157 (million)
% 6.68/1.96 % (3696296)Instruction limit reached!
% 6.68/1.96 % (3696296)------------------------------
% 6.68/1.96 % (3696296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (3696296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (3696296)CaDiCaL version: 2.1.3
% 6.68/1.96 % (3696296)Termination reason: Instruction limit
% 6.68/1.96 % (3696296)Termination phase: Saturation
% 6.68/1.96 % (3696296)Time elapsed: 0.054 s
% 6.68/1.96 % (3696296)Peak memory usage: 88 MB
% 8.34/2.16 % (3696296)Instructions burned: 107 (million)
% 8.34/2.16 % (3696301)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3045045161:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 8.34/2.16 % (3696301)Refutation not found, incomplete strategy
% 8.34/2.16 % (3696301)------------------------------
% 8.34/2.16 % (3696301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.16 % (3696301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.16 % (3696301)CaDiCaL version: 2.1.3
% 8.34/2.16 % (3696301)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.16 % (3696301)Time elapsed: 0.001 s
% 8.34/2.16 % (3696301)Peak memory usage: 88 MB
% 8.34/2.16 % (3696302)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4146447597:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.34/2.16 % (3696293)Refutation found. Thanks to Tanya!
% 8.34/2.16 % SZS status Unsatisfiable for theBenchmark
% 8.34/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 8.34/2.16 % (3696293)------------------------------
% 8.34/2.16 % (3696293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.16 % (3696293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.16 % (3696293)CaDiCaL version: 2.1.3
% 8.34/2.16 % (3696293)Termination reason: Refutation
% 8.34/2.16 % (3696293)Time elapsed: 0.050 s
% 8.34/2.16 % (3696293)Peak memory usage: 89 MB
% 8.34/2.16 % (3696293)Instructions burned: 81 (million)
% 8.34/2.16 % (3696293)------------------------------
% 8.34/2.16 % (3696293)------------------------------
% 8.34/2.16 % (3696266)Success in time 1.092 s
% 8.34/2.16 % Vampire exiting
%------------------------------------------------------------------------------