%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT227-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:46:19 AM UTC 2026
% Result : Unsatisfiable 12.09s 2.85s
% Output : Refutation 12.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 49 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 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 : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = meet(X0,join(meet(X0,X1),join(meet(X0,X2),meet(X2,join(X0,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H15) ).
fof(f13,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f16,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f15]) ).
fof(f20,plain,
complement(a) != join(complement(a),complement(b)),
inference(superposition,[],[f16,f6]) ).
fof(f26,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f46,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f53,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f26,f46]) ).
fof(f55,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f46]) ).
fof(f63,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f6,f53]) ).
fof(f90,plain,
! [X2,X0,X1] : meet(X1,join(meet(X1,X0),meet(X1,X2))) = meet(X1,join(meet(X1,X0),join(meet(X1,X2),meet(X2,join(X0,X1))))),
inference(superposition,[],[f12,f6]) ).
fof(f301,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f317,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f367,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f10,f7]) ).
fof(f610,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f301,f6]) ).
fof(f615,plain,
! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f301,f9]) ).
fof(f637,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f615,f63]) ).
fof(f660,plain,
one = join(b,complement(a)),
inference(superposition,[],[f637,f14]) ).
fof(f1270,plain,
! [X0] : meet(complement(a),join(meet(complement(a),b),meet(complement(a),X0))) = meet(complement(a),join(meet(complement(a),b),join(meet(complement(a),X0),meet(X0,one)))),
inference(superposition,[],[f90,f660]) ).
fof(f1328,plain,
! [X0] : meet(complement(a),join(meet(complement(a),b),meet(complement(a),X0))) = meet(complement(a),join(meet(complement(a),b),join(meet(X0,one),meet(complement(a),X0)))),
inference(forward_demodulation,[],[f1270,f6]) ).
fof(f1395,plain,
! [X0] : meet(complement(a),join(meet(complement(a),b),meet(complement(a),X0))) = meet(complement(a),join(meet(complement(a),b),join(X0,meet(complement(a),X0)))),
inference(forward_demodulation,[],[f1328,f46]) ).
fof(f1442,plain,
! [X0] : meet(complement(a),join(meet(complement(a),b),meet(complement(a),X0))) = meet(complement(a),join(meet(complement(a),b),X0)),
inference(forward_demodulation,[],[f1395,f26]) ).
fof(f1478,plain,
! [X0] : meet(complement(a),join(meet(b,complement(a)),meet(complement(a),X0))) = meet(complement(a),join(meet(b,complement(a)),X0)),
inference(forward_demodulation,[],[f1442,f5]) ).
fof(f1584,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),X0)) = join(join(meet(b,complement(a)),meet(complement(a),X0)),meet(complement(a),join(meet(b,complement(a)),X0))),
inference(superposition,[],[f26,f1478]) ).
fof(f1596,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),X0)) = join(meet(complement(a),join(meet(b,complement(a)),X0)),join(meet(b,complement(a)),meet(complement(a),X0))),
inference(forward_demodulation,[],[f1584,f6]) ).
fof(f1614,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),X0)) = join(meet(complement(a),X0),join(meet(complement(a),join(meet(b,complement(a)),X0)),meet(b,complement(a)))),
inference(forward_demodulation,[],[f1596,f317]) ).
fof(f1626,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),X0)) = join(meet(b,complement(a)),join(meet(complement(a),X0),meet(complement(a),join(meet(b,complement(a)),X0)))),
inference(forward_demodulation,[],[f1614,f317]) ).
fof(f1671,plain,
join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))) = join(meet(b,complement(a)),join(meet(complement(a),complement(meet(b,complement(a)))),meet(complement(a),one))),
inference(superposition,[],[f1626,f9]) ).
fof(f1700,plain,
join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))) = join(meet(b,complement(a)),join(meet(complement(a),one),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f1671,f6]) ).
fof(f1725,plain,
join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))) = join(meet(b,complement(a)),join(meet(one,complement(a)),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f1700,f5]) ).
fof(f1743,plain,
join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))) = join(meet(one,complement(a)),join(meet(complement(a),complement(meet(b,complement(a)))),meet(b,complement(a)))),
inference(forward_demodulation,[],[f1725,f317]) ).
fof(f1752,plain,
join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))) = join(meet(one,complement(a)),join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f1743,f6]) ).
fof(f1760,plain,
join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))) = join(complement(a),join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f1752,f55]) ).
fof(f1767,plain,
join(complement(a),meet(b,complement(a))) = join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f1760,f610]) ).
fof(f1772,plain,
complement(a) = join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f1767,f26]) ).
fof(f1777,plain,
join(b,complement(a)) = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(superposition,[],[f301,f1772]) ).
fof(f1795,plain,
one = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f1777,f660]) ).
fof(f1835,plain,
complement(b) = meet(complement(a),complement(meet(b,complement(a)))),
inference(unit_resulting_resolution,[],[f11,f367,f1795]) ).
fof(f1886,plain,
complement(a) = join(complement(a),complement(b)),
inference(superposition,[],[f4,f1835]) ).
fof(f1907,plain,
$false,
inference(forward_subsumption_resolution,[],[f1886,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT227-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 14:10:46 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 10.90/2.64 % (1701182)Input is clausal, will run a generic CNF schedule.
% 10.90/2.64 % (1701191)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1165596378:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.90/2.64 % (1701192)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2775692345:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.90/2.64 % (1701191)Instruction limit reached!
% 10.90/2.64 % (1701191)------------------------------
% 10.90/2.64 % (1701191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701191)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701191)Termination reason: Instruction limit
% 10.90/2.64 % (1701191)Termination phase: Saturation
% 10.90/2.64 % (1701191)Time elapsed: 0.060 s
% 10.90/2.64 % (1701191)Peak memory usage: 89 MB
% 10.90/2.64 % (1701191)Instructions burned: 114 (million)
% 10.90/2.64 % (1701190)lrs+10_1_sil=8000:sp=occurrence:random_seed=3595718289:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.90/2.64 % (1701188)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1056647592:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.90/2.64 % (1701187)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=3527090163:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.90/2.64 % (1701189)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=410176454:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.90/2.64 % (1701193)dis-21_1_sil=8000:lcm=predicate:random_seed=1114254209: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)
% 10.90/2.64 % (1701193)Refutation not found, incomplete strategy
% 10.90/2.64 % (1701193)------------------------------
% 10.90/2.64 % (1701193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701193)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701193)Termination reason: Refutation not found, incomplete strategy
% 10.90/2.64 % (1701193)Time elapsed: 0.003 s
% 10.90/2.64 % (1701193)Peak memory usage: 88 MB
% 10.90/2.64 % (1701193)Instructions burned: 1 (million)
% 10.90/2.64 % (1701192)Instruction limit reached!
% 10.90/2.64 % (1701192)------------------------------
% 10.90/2.64 % (1701192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701192)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701192)Termination reason: Instruction limit
% 10.90/2.64 % (1701192)Termination phase: Saturation
% 10.90/2.64 % (1701192)Time elapsed: 0.115 s
% 10.90/2.64 % (1701192)Peak memory usage: 90 MB
% 10.90/2.64 % (1701192)Instructions burned: 180 (million)
% 10.90/2.64 % (1701190)Instruction limit reached!
% 10.90/2.64 % (1701190)------------------------------
% 10.90/2.64 % (1701190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701190)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701190)Termination reason: Instruction limit
% 10.90/2.64 % (1701190)Termination phase: Saturation
% 10.90/2.64 % (1701190)Time elapsed: 0.104 s
% 10.90/2.64 % (1701190)Peak memory usage: 89 MB
% 10.90/2.64 % (1701190)Instructions burned: 107 (million)
% 10.90/2.64 % (1701196)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=3865682981:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.90/2.64 % (1701196)Instruction limit reached!
% 10.90/2.64 % (1701196)------------------------------
% 10.90/2.64 % (1701196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701196)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701196)Termination reason: Instruction limit
% 10.90/2.64 % (1701196)Termination phase: Saturation
% 10.90/2.64 % (1701196)Time elapsed: 0.072 s
% 10.90/2.64 % (1701196)Peak memory usage: 89 MB
% 10.90/2.64 % (1701196)Instructions burned: 144 (million)
% 10.90/2.64 % (1701202)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3222724698:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 10.90/2.64 % (1701203)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2124834125:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.90/2.64 % (1701193)------------------------------
% 10.90/2.64 % (1701193)------------------------------
% 10.90/2.64 % (1701205)lrs+10_64_to=lpo:sil=8000:random_seed=118727679:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 10.90/2.64 % (1701202)Instruction limit reached!
% 10.90/2.64 % (1701202)------------------------------
% 10.90/2.64 % (1701202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701202)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701202)Termination reason: Instruction limit
% 10.90/2.64 % (1701202)Termination phase: Saturation
% 10.90/2.64 % (1701202)Time elapsed: 0.192 s
% 10.90/2.64 % (1701202)Peak memory usage: 90 MB
% 10.90/2.64 % (1701202)Instructions burned: 190 (million)
% 10.90/2.64 % (1701203)Instruction limit reached!
% 10.90/2.64 % (1701203)------------------------------
% 10.90/2.64 % (1701203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701203)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701203)Termination reason: Instruction limit
% 10.90/2.64 % (1701203)Termination phase: Saturation
% 10.90/2.64 % (1701203)Time elapsed: 0.195 s
% 10.90/2.64 % (1701203)Peak memory usage: 91 MB
% 10.90/2.64 % (1701203)Instructions burned: 219 (million)
% 10.90/2.64 % (1701205)Instruction limit reached!
% 10.90/2.64 % (1701205)------------------------------
% 10.90/2.64 % (1701205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701205)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701205)Termination reason: Instruction limit
% 10.90/2.64 % (1701205)Termination phase: Saturation
% 10.90/2.64 % (1701205)Time elapsed: 0.096 s
% 10.90/2.64 % (1701205)Peak memory usage: 88 MB
% 10.90/2.64 % (1701205)Instructions burned: 126 (million)
% 10.90/2.64 % (1701208)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=406979840:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 10.90/2.64 % (1701210)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2295938605:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 10.90/2.64 % (1701210)Instruction limit reached!
% 10.90/2.64 % (1701210)------------------------------
% 10.90/2.64 % (1701210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701210)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701210)Termination reason: Instruction limit
% 10.90/2.64 % (1701210)Termination phase: Saturation
% 10.90/2.64 % (1701210)Time elapsed: 0.086 s
% 10.90/2.64 % (1701210)Peak memory usage: 90 MB
% 10.90/2.64 % (1701210)Instructions burned: 158 (million)
% 10.90/2.64 % (1701211)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3992114574:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 10.90/2.64 % (1701212)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=3270697029:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 10.90/2.64 % (1701208)Instruction limit reached!
% 10.90/2.64 % (1701208)------------------------------
% 10.90/2.64 % (1701208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (1701208)CaDiCaL version: 2.1.3
% 10.90/2.64 % (1701208)Termination reason: Instruction limit
% 10.90/2.64 % (1701208)Termination phase: Saturation
% 10.90/2.64 % (1701208)Time elapsed: 0.190 s
% 10.90/2.64 % (1701208)Peak memory usage: 90 MB
% 10.90/2.64 % (1701208)Instructions burned: 195 (million)
% 10.90/2.64 % (1701212)Instruction limit reached!
% 10.90/2.64 % (1701212)------------------------------
% 10.90/2.64 % (1701212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (1701212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.85 % (1701212)CaDiCaL version: 2.1.3
% 12.09/2.85 % (1701212)Termination reason: Instruction limit
% 12.09/2.85 % (1701212)Termination phase: Saturation
% 12.09/2.85 % (1701212)Time elapsed: 0.110 s
% 12.09/2.85 % (1701212)Peak memory usage: 89 MB
% 12.09/2.85 % (1701212)Instructions burned: 107 (million)
% 12.09/2.85 % (1701188)First to succeed.
% 12.09/2.85 % (1701188)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1701182"
% 12.09/2.85 % (1701217)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2923907680:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 12.09/2.85 % (1701220)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3079500472:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 12.09/2.85 % (1701217)Instruction limit reached!
% 12.09/2.85 % (1701217)------------------------------
% 12.09/2.85 % (1701217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.85 % (1701217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.85 % (1701217)CaDiCaL version: 2.1.3
% 12.09/2.85 % (1701217)Termination reason: Instruction limit
% 12.09/2.85 % (1701217)Termination phase: Saturation
% 12.09/2.85 % (1701217)Time elapsed: 0.108 s
% 12.09/2.85 % (1701217)Peak memory usage: 89 MB
% 12.09/2.85 % (1701217)Instructions burned: 107 (million)
% 12.09/2.85 % (1701221)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2692879218:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 12.09/2.85 % (1701188)Refutation found. Thanks to Tanya!
% 12.09/2.85 % SZS status Unsatisfiable for theBenchmark
% 12.09/2.85 % SZS output start Proof for theBenchmark
% See solution above
% 12.09/2.85 % (1701188)------------------------------
% 12.09/2.85 % (1701188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.85 % (1701188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.85 % (1701188)CaDiCaL version: 2.1.3
% 12.09/2.85 % (1701188)Termination reason: Refutation
% 12.09/2.85 % (1701188)Time elapsed: 1.068 s
% 12.09/2.85 % (1701188)Peak memory usage: 130 MB
% 12.09/2.85 % (1701188)Instructions burned: 1174 (million)
% 12.09/2.85 % (1701188)------------------------------
% 12.09/2.85 % (1701188)------------------------------
% 12.09/2.85 % (1701182)Success in time 1.603 s
% 12.09/2.85 % Vampire exiting
%------------------------------------------------------------------------------