%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT166-1 : 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 : 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 11:46:07 AM UTC 2026
% Result : Unsatisfiable 46.10s 7.52s
% Output : Refutation 46.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 22 unt; 1 def)
% Number of atoms : 22 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 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,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X1,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X0,meet(X1,X2)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H77) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(c,join(b,d)))) != meet(a,join(b,meet(c,join(d,meet(b,join(a,d)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H78) ).
fof(f11,definition,
~ sP0(meet(a,join(b,meet(c,join(b,d))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f12,plain,
sP0(meet(a,join(b,meet(c,join(d,meet(b,join(a,d))))))),
inference(inequality_splitting,[],[f10,f11]) ).
fof(f24,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[],[f7,f3]) ).
fof(f37,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2))),
inference(superposition,[],[f4,f7]) ).
fof(f40,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] : meet(X2,join(X3,meet(X4,join(X3,join(X0,X1))))) = meet(X2,join(X3,meet(X4,join(X0,join(X1,meet(X2,meet(X3,X4))))))),
inference(superposition,[],[f9,f8]) ).
fof(f380,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f40,f6]) ).
fof(f2333,plain,
! [X2,X3,X0,X1,X4,X5] : meet(X0,join(X2,meet(X3,join(X4,join(X5,meet(join(X0,X1),meet(X2,X3))))))) = meet(X0,meet(join(X0,X1),join(X2,meet(X3,join(X2,join(X4,X5)))))),
inference(superposition,[],[f24,f66]) ).
fof(f2334,plain,
! [X2,X3,X0,X1,X4,X5] : meet(X0,join(X2,meet(X3,join(X4,join(X5,meet(join(X0,X1),meet(X2,X3))))))) = meet(X0,join(X2,meet(X3,join(X2,join(X4,X5))))),
inference(forward_demodulation,[],[f2333,f24]) ).
fof(f2809,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X1,meet(X0,X2))),
inference(superposition,[],[f37,f5]) ).
fof(f15428,plain,
! [X2,X3,X0,X1,X4] : meet(X1,join(X0,meet(X3,join(X0,join(X4,meet(X0,join(X1,X2))))))) = meet(X1,join(X0,meet(X3,join(X4,meet(X0,join(X1,X2)))))),
inference(superposition,[],[f2334,f2809]) ).
fof(f15503,plain,
! [X2,X3,X0,X1,X4] : meet(X1,join(X0,meet(X3,join(X0,X4)))) = meet(X1,join(X0,meet(X3,join(X4,meet(X0,join(X1,X2)))))),
inference(forward_demodulation,[],[f15428,f380]) ).
fof(f15587,plain,
sP0(meet(a,join(b,meet(c,join(b,d))))),
inference(backward_demodulation,[],[f12,f15503]) ).
fof(f15644,plain,
$false,
inference(forward_subsumption_resolution,[],[f15587,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT166-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n001.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 14:10:01 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 20.99/7.21 % (3600224)Detected a unit-equality problem, will run specialized UEQ schedule.
% 20.99/7.21 % (3600235)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=647476120:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 20.99/7.21 % (3600229)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3690964492:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 20.99/7.21 % (3600231)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1212906327:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 20.99/7.21 % (3600233)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3817220937:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 20.99/7.21 % (3600232)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1293471656:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 20.99/7.21 % (3600234)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2608240462:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 20.99/7.21 % (3600230)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=102139907:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 20.99/7.21 % (3600233)Refutation not found, incomplete strategy
% 20.99/7.21 % (3600233)------------------------------
% 20.99/7.21 % (3600233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/7.21 % (3600233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/7.21 % (3600233)CaDiCaL version: 2.1.3
% 20.99/7.21 % (3600233)Termination reason: Refutation not found, incomplete strategy
% 20.99/7.21 % (3600233)Time elapsed: 0.002 s
% 20.99/7.21 % (3600233)Peak memory usage: 87 MB
% 20.99/7.21 % (3600233)Instructions burned: 1 (million)
% 20.99/7.21 % (3600232)Instruction limit reached!
% 20.99/7.21 % (3600232)------------------------------
% 20.99/7.21 % (3600232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/7.21 % (3600232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/7.21 % (3600232)CaDiCaL version: 2.1.3
% 20.99/7.21 % (3600232)Termination reason: Instruction limit
% 20.99/7.21 % (3600232)Termination phase: Saturation
% 20.99/7.21 % (3600232)Time elapsed: 0.131 s
% 20.99/7.21 % (3600232)Peak memory usage: 88 MB
% 20.99/7.21 % (3600232)Instructions burned: 136 (million)
% 20.99/7.21 % (3600234)Instruction limit reached!
% 20.99/7.21 % (3600234)------------------------------
% 20.99/7.21 % (3600234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/7.21 % (3600234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/7.21 % (3600234)CaDiCaL version: 2.1.3
% 20.99/7.21 % (3600234)Termination reason: Instruction limit
% 20.99/7.21 % (3600234)Termination phase: Saturation
% 20.99/7.21 % (3600234)Time elapsed: 0.261 s
% 20.99/7.21 % (3600234)Peak memory usage: 90 MB
% 20.99/7.21 % (3600234)Instructions burned: 258 (million)
% 20.99/7.21 % (3600243)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3509551784:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 20.99/7.21 % (3600233)------------------------------
% 20.99/7.21 % (3600233)------------------------------
% 20.99/7.21 % (3600235)Instruction limit reached!
% 20.99/7.21 % (3600235)------------------------------
% 20.99/7.21 % (3600235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/7.21 % (3600235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/7.21 % (3600235)CaDiCaL version: 2.1.3
% 20.99/7.21 % (3600235)Termination reason: Instruction limit
% 20.99/7.21 % (3600235)Termination phase: Saturation
% 20.99/7.21 % (3600235)Time elapsed: 0.539 s
% 20.99/7.21 % (3600235)Peak memory usage: 97 MB
% 20.99/7.21 % (3600235)Instructions burned: 1188 (million)
% 20.99/7.21 % (3600244)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1330324311:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 46.10/7.52 % (3600246)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1272055676:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 46.10/7.52 % (3600247)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3658342064:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 46.10/7.52 % (3600246)Instruction limit reached!
% 46.10/7.52 % (3600246)------------------------------
% 46.10/7.52 % (3600246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.52 % (3600246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.52 % (3600246)CaDiCaL version: 2.1.3
% 46.10/7.52 % (3600246)Termination reason: Instruction limit
% 46.10/7.52 % (3600246)Termination phase: Saturation
% 46.10/7.52 % (3600246)Time elapsed: 0.181 s
% 46.10/7.52 % (3600246)Peak memory usage: 89 MB
% 46.10/7.52 % (3600246)Instructions burned: 216 (million)
% 46.10/7.52 % (3600247)Instruction limit reached!
% 46.10/7.52 % (3600247)------------------------------
% 46.10/7.52 % (3600247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.52 % (3600247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.52 % (3600247)CaDiCaL version: 2.1.3
% 46.10/7.52 % (3600247)Termination reason: Instruction limit
% 46.10/7.52 % (3600247)Termination phase: Saturation
% 46.10/7.52 % (3600247)Time elapsed: 0.322 s
% 46.10/7.52 % (3600247)Peak memory usage: 94 MB
% 46.10/7.52 % (3600247)Instructions burned: 317 (million)
% 46.10/7.52 % (3600251)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1575458938:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 46.10/7.52 % (3600252)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2466583520:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2986 on theBenchmark for (2986ds/2836Mi)
% 46.10/7.52 % (3600243)Instruction limit reached!
% 46.10/7.52 % (3600243)------------------------------
% 46.10/7.52 % (3600243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.52 % (3600243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.52 % (3600243)CaDiCaL version: 2.1.3
% 46.10/7.52 % (3600243)Termination reason: Instruction limit
% 46.10/7.52 % (3600243)Termination phase: Saturation
% 46.10/7.52 % (3600243)Time elapsed: 1.208 s
% 46.10/7.52 % (3600243)Peak memory usage: 142 MB
% 46.10/7.52 % (3600243)Instructions burned: 2052 (million)
% 46.10/7.52 % (3600255)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3524071887:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 46.10/7.52 % (3600244)Instruction limit reached!
% 46.10/7.52 % (3600244)------------------------------
% 46.10/7.52 % (3600244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.52 % (3600244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.52 % (3600244)CaDiCaL version: 2.1.3
% 46.10/7.52 % (3600244)Termination reason: Instruction limit
% 46.10/7.52 % (3600244)Termination phase: Saturation
% 46.10/7.52 % (3600244)Time elapsed: 3.094 s
% 46.10/7.52 % (3600244)Peak memory usage: 167 MB
% 46.10/7.52 % (3600244)Instructions burned: 4948 (million)
% 46.10/7.52 % (3600257)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1788693610:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2961 on theBenchmark for (2961ds/11832Mi)
% 46.10/7.52 % (3600252)Instruction limit reached!
% 46.10/7.52 % (3600252)------------------------------
% 46.10/7.52 % (3600252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.52 % (3600252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.52 % (3600252)CaDiCaL version: 2.1.3
% 46.10/7.52 % (3600252)Termination reason: Instruction limit
% 46.10/7.52 % (3600252)Termination phase: Saturation
% 46.10/7.52 % (3600252)Time elapsed: 3.121 s
% 46.10/7.52 % (3600252)Peak memory usage: 142 MB
% 46.10/7.52 % (3600252)Instructions burned: 2836 (million)
% 46.10/7.52 % (3600259)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2756502488:i=2279:fgj=on:bd=all_2953 on theBenchmark for (2953ds/2279Mi)
% 46.10/7.52 % (3600255)First to succeed.
% 46.10/7.52 % (3600255)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3600224"
% 46.10/7.52 % (3600255)Refutation found. Thanks to Tanya!
% 46.10/7.52 % SZS status Unsatisfiable for theBenchmark
% 46.10/7.52 % SZS output start Proof for theBenchmark
% See solution above
% 46.10/7.52 % (3600255)------------------------------
% 46.10/7.52 % (3600255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.52 % (3600255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.52 % (3600255)CaDiCaL version: 2.1.3
% 46.10/7.52 % (3600255)Termination reason: Refutation
% 46.10/7.52 % (3600255)Time elapsed: 3.921 s
% 46.10/7.52 % (3600255)Peak memory usage: 158 MB
% 46.10/7.52 % (3600255)Instructions burned: 3830 (million)
% 46.10/7.52 % (3600255)------------------------------
% 46.10/7.52 % (3600255)------------------------------
% 46.10/7.52 % (3600224)Success in time 6.401 s
% 46.10/7.52 % Vampire exiting
%------------------------------------------------------------------------------