%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:45:53 AM UTC 2026
% Result : Unsatisfiable 5.53s 1.77s
% Output : Refutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 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(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(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
fof(f10,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
fof(f13,axiom,
! [X0] : join(X0,n0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_join_0) ).
fof(f14,axiom,
! [X0] : meet(X0,n1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_meet_1) ).
fof(f15,axiom,
! [X0] : join(X0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_join_1) ).
fof(f16,plain,
! [X0] : n1 = join(X0,n1),
inference(reorient_equations,[],[f15]) ).
fof(f18,axiom,
join(xx,yy) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs1) ).
fof(f19,plain,
n1 = join(xx,yy),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
join(xx,zz) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs2) ).
fof(f21,plain,
n1 = join(xx,zz),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
meet(xx,yy) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs3) ).
fof(f23,plain,
n0 = meet(xx,yy),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
meet(xx,zz) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs4) ).
fof(f25,plain,
n0 = meet(xx,zz),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
fof(f29,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(meet(X0,X1),X0),join(meet(X0,X1),X2)),
inference(backward_demodulation,[],[f10,f9]) ).
fof(f30,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X0,meet(X0,X1)),join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f29,f6]) ).
fof(f32,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(meet(join(X0,X0),join(X0,X1)),join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f30,f9]) ).
fof(f33,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X0,X0),meet(join(X0,X1),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f32,f7]) ).
fof(f34,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,meet(join(X0,X1),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f33,f2]) ).
fof(f35,plain,
! [X0] : join(X0,n0) = meet(join(X0,xx),join(X0,zz)),
inference(superposition,[],[f9,f25]) ).
fof(f36,plain,
! [X0] : join(X0,n0) = meet(join(X0,xx),join(X0,yy)),
inference(superposition,[],[f9,f23]) ).
fof(f49,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),join(X0,X2))) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f61,plain,
! [X0] : meet(join(X0,xx),join(X0,yy)) = X0,
inference(forward_demodulation,[],[f36,f13]) ).
fof(f62,plain,
! [X0] : meet(join(X0,xx),join(X0,zz)) = X0,
inference(forward_demodulation,[],[f35,f13]) ).
fof(f90,plain,
! [X0] : meet(join(xx,X0),join(X0,yy)) = X0,
inference(superposition,[],[f61,f6]) ).
fof(f118,plain,
! [X0,X1] : meet(X0,join(n1,X1)) = meet(X0,meet(join(X0,n1),join(X0,X1))),
inference(superposition,[],[f34,f14]) ).
fof(f125,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,meet(join(X1,X2),join(X0,meet(X1,X2)))),
inference(superposition,[],[f34,f6]) ).
fof(f140,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,meet(join(X1,X2),meet(join(X0,X1),join(X0,X2)))),
inference(forward_demodulation,[],[f125,f9]) ).
fof(f147,plain,
! [X0,X1] : meet(X0,join(n1,X1)) = X0,
inference(forward_demodulation,[],[f118,f49]) ).
fof(f191,plain,
! [X0,X1] : meet(join(n1,X1),X0) = X0,
inference(superposition,[],[f5,f147]) ).
fof(f352,plain,
! [X0] : meet(n1,X0) = X0,
inference(superposition,[],[f191,f16]) ).
fof(f370,plain,
! [X0] : n1 = join(n1,X0),
inference(superposition,[],[f14,f191]) ).
fof(f965,plain,
zz = meet(n1,join(zz,yy)),
inference(superposition,[],[f90,f21]) ).
fof(f1000,plain,
zz = meet(n1,meet(join(n1,zz),meet(join(yy,n1),join(yy,zz)))),
inference(forward_demodulation,[],[f965,f140]) ).
fof(f1005,plain,
zz = meet(join(n1,zz),meet(join(yy,n1),join(yy,zz))),
inference(forward_demodulation,[],[f1000,f352]) ).
fof(f1007,plain,
zz = meet(join(n1,zz),meet(n1,join(yy,zz))),
inference(forward_demodulation,[],[f1005,f16]) ).
fof(f1009,plain,
zz = meet(join(n1,zz),join(yy,zz)),
inference(forward_demodulation,[],[f1007,f352]) ).
fof(f1011,plain,
zz = meet(n1,join(yy,zz)),
inference(forward_demodulation,[],[f1009,f370]) ).
fof(f1012,plain,
zz = join(yy,zz),
inference(forward_demodulation,[],[f1011,f352]) ).
fof(f1242,plain,
yy = meet(join(yy,xx),zz),
inference(superposition,[],[f62,f1012]) ).
fof(f1263,plain,
yy = meet(join(xx,yy),zz),
inference(forward_demodulation,[],[f1242,f6]) ).
fof(f1267,plain,
yy = meet(n1,zz),
inference(forward_demodulation,[],[f1263,f19]) ).
fof(f1268,plain,
yy = zz,
inference(forward_demodulation,[],[f1267,f352]) ).
fof(f1269,plain,
$false,
inference(forward_subsumption_resolution,[],[f1268,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 14:00:26 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 3.96/1.57 % (2866692)Input is clausal, will run a generic CNF schedule.
% 3.96/1.57 % (2866702)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1572549574:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.96/1.57 % (2866703)dis-21_1_sil=8000:lcm=predicate:random_seed=1900798304: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)
% 3.96/1.57 % (2866699)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3609400061:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.96/1.57 % (2866697)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=2685287017:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.96/1.57 % (2866701)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2333858054:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.96/1.57 % (2866698)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=905377851:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.96/1.57 % (2866700)lrs+10_1_sil=8000:sp=occurrence:random_seed=3599684640:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.96/1.57 % (2866703)Refutation not found, incomplete strategy
% 3.96/1.57 % (2866703)------------------------------
% 3.96/1.57 % (2866703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.57 % (2866703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.57 % (2866703)CaDiCaL version: 2.1.3
% 3.96/1.57 % (2866703)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.57 % (2866703)Time elapsed: 0.001 s
% 3.96/1.57 % (2866703)Peak memory usage: 88 MB
% 3.96/1.57 % (2866703)Instructions burned: 1 (million)
% 3.96/1.57 % (2866702)Instruction limit reached!
% 3.96/1.57 % (2866702)------------------------------
% 3.96/1.57 % (2866702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.57 % (2866702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.57 % (2866702)CaDiCaL version: 2.1.3
% 3.96/1.57 % (2866702)Termination reason: Instruction limit
% 3.96/1.57 % (2866702)Termination phase: Saturation
% 3.96/1.57 % (2866702)Time elapsed: 0.054 s
% 3.96/1.57 % (2866702)Peak memory usage: 90 MB
% 3.96/1.57 % (2866702)Instructions burned: 180 (million)
% 3.96/1.57 % (2866700)Instruction limit reached!
% 3.96/1.57 % (2866700)------------------------------
% 3.96/1.57 % (2866700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.57 % (2866700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.57 % (2866700)CaDiCaL version: 2.1.3
% 3.96/1.57 % (2866700)Termination reason: Instruction limit
% 3.96/1.57 % (2866700)Termination phase: Saturation
% 3.96/1.57 % (2866700)Time elapsed: 0.063 s
% 3.96/1.57 % (2866700)Peak memory usage: 89 MB
% 3.96/1.57 % (2866700)Instructions burned: 107 (million)
% 3.96/1.57 % (2866701)Instruction limit reached!
% 3.96/1.57 % (2866701)------------------------------
% 3.96/1.57 % (2866701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.57 % (2866701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.57 % (2866701)CaDiCaL version: 2.1.3
% 3.96/1.57 % (2866701)Termination reason: Instruction limit
% 3.96/1.57 % (2866701)Termination phase: Saturation
% 3.96/1.57 % (2866701)Time elapsed: 0.069 s
% 3.96/1.57 % (2866701)Peak memory usage: 89 MB
% 3.96/1.57 % (2866701)Instructions burned: 114 (million)
% 3.96/1.57 % (2866711)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=2677973103:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.96/1.57 % (2866712)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1843656583: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)
% 3.96/1.57 % (2866713)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=905835160:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.96/1.57 % (2866703)------------------------------
% 3.96/1.57 % (2866703)------------------------------
% 3.96/1.57 % (2866711)Instruction limit reached!
% 3.96/1.57 % (2866711)------------------------------
% 5.53/1.77 % (2866711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.77 % (2866711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.77 % (2866711)CaDiCaL version: 2.1.3
% 5.53/1.77 % (2866711)Termination reason: Instruction limit
% 5.53/1.77 % (2866711)Termination phase: Saturation
% 5.53/1.77 % (2866711)Time elapsed: 0.081 s
% 5.53/1.77 % (2866711)Peak memory usage: 90 MB
% 5.53/1.77 % (2866711)Instructions burned: 144 (million)
% 5.53/1.77 % (2866712)First to succeed.
% 5.53/1.77 % (2866712)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2866692"
% 5.53/1.77 % (2866713)Instruction limit reached!
% 5.53/1.77 % (2866713)------------------------------
% 5.53/1.77 % (2866713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.77 % (2866713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.77 % (2866713)CaDiCaL version: 2.1.3
% 5.53/1.77 % (2866713)Termination reason: Instruction limit
% 5.53/1.77 % (2866713)Termination phase: Saturation
% 5.53/1.77 % (2866713)Time elapsed: 0.131 s
% 5.53/1.77 % (2866713)Peak memory usage: 90 MB
% 5.53/1.77 % (2866713)Instructions burned: 221 (million)
% 5.53/1.77 % (2866718)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=879698563:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.53/1.77 % (2866717)lrs+10_64_to=lpo:sil=8000:random_seed=235928325:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.53/1.77 % (2866718)Also succeeded, but the first one will report.
% 5.53/1.77 % (2866717)Instruction limit reached!
% 5.53/1.77 % (2866717)------------------------------
% 5.53/1.77 % (2866717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.77 % (2866717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.77 % (2866717)CaDiCaL version: 2.1.3
% 5.53/1.77 % (2866717)Termination reason: Instruction limit
% 5.53/1.77 % (2866717)Termination phase: Saturation
% 5.53/1.77 % (2866717)Time elapsed: 0.074 s
% 5.53/1.77 % (2866717)Peak memory usage: 88 MB
% 5.53/1.77 % (2866717)Instructions burned: 127 (million)
% 5.53/1.77 % (2866719)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3531611450:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.53/1.77 % (2866712)Refutation found. Thanks to Tanya!
% 5.53/1.77 % SZS status Unsatisfiable for theBenchmark
% 5.53/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 5.53/1.77 % (2866712)------------------------------
% 5.53/1.77 % (2866712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.77 % (2866712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.77 % (2866712)CaDiCaL version: 2.1.3
% 5.53/1.77 % (2866712)Termination reason: Refutation
% 5.53/1.77 % (2866712)Time elapsed: 0.057 s
% 5.53/1.77 % (2866712)Peak memory usage: 90 MB
% 5.53/1.77 % (2866712)Instructions burned: 86 (million)
% 5.53/1.77 % (2866712)------------------------------
% 5.53/1.77 % (2866712)------------------------------
% 5.53/1.77 % (2866692)Success in time 0.707 s
% 5.53/1.77 % Vampire exiting
%------------------------------------------------------------------------------