%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:37:46 AM UTC 2026
% Result : Unsatisfiable 2.89s 1.05s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : response(response(kestrel,X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kestrel_exists) ).
fof(f2,axiom,
! [X0,X1] : response(response(lark,X0),X1) = response(X0,response(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_exists) ).
fof(f3,axiom,
! [X0,X1] : response(response(response(lark,lark),X0),X1) = response(response(X0,X0),response(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_lemma1) ).
fof(f4,axiom,
! [X0,X1] : response(response(response(response(lark,lark),lark),X0),X1) = response(response(response(X0,X0),response(X0,X0)),response(x2,x2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_lemma2) ).
fof(f5,axiom,
response(l2,l2) != l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_not_egocentric) ).
fof(f6,plain,
l2 != response(l2,l2),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
response(lark,lark) = l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_definition) ).
fof(f8,axiom,
response(l2,lark) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_definition) ).
fof(f9,negated_conjecture,
response(l3,l3) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_not_egocentric) ).
fof(f10,plain,
l3 = response(l3,l3),
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
! [X0] : response(lark,response(X0,X0)) = response(l2,X0),
inference(superposition,[],[f2,f7]) ).
fof(f14,plain,
! [X0,X1] : response(response(lark,X1),response(kestrel,X0)) = response(X1,X0),
inference(superposition,[],[f2,f1]) ).
fof(f16,plain,
! [X0,X1] : response(X0,X0) = response(response(response(lark,kestrel),X0),X1),
inference(superposition,[],[f1,f2]) ).
fof(f21,plain,
response(l2,lark) = response(lark,l2),
inference(superposition,[],[f11,f7]) ).
fof(f26,plain,
l3 = response(lark,l2),
inference(forward_demodulation,[],[f21,f8]) ).
fof(f28,plain,
! [X0] : response(l2,response(X0,X0)) = response(l3,X0),
inference(superposition,[],[f2,f26]) ).
fof(f29,plain,
! [X0,X1] : response(response(X0,X0),response(X1,X1)) = response(response(l2,X0),X1),
inference(forward_demodulation,[],[f3,f7]) ).
fof(f121,plain,
! [X0,X1] : response(response(response(response(lark,lark),lark),X0),X1) = response(response(l2,response(X0,X0)),x2),
inference(forward_demodulation,[],[f4,f29]) ).
fof(f122,plain,
! [X0,X1] : response(response(response(response(lark,lark),lark),X0),X1) = response(response(l3,X0),x2),
inference(forward_demodulation,[],[f121,f28]) ).
fof(f123,plain,
! [X0,X1] : response(response(l3,X0),x2) = response(response(response(lark,response(lark,lark)),X0),X1),
inference(forward_demodulation,[],[f122,f2]) ).
fof(f124,plain,
! [X0,X1] : response(response(l3,X0),x2) = response(response(response(l2,lark),X0),X1),
inference(forward_demodulation,[],[f123,f11]) ).
fof(f125,plain,
! [X0,X1] : response(response(l3,X0),X1) = response(response(l3,X0),x2),
inference(forward_demodulation,[],[f124,f8]) ).
fof(f167,plain,
! [X0] : response(l3,X0) = response(l3,x2),
inference(superposition,[],[f125,f10]) ).
fof(f202,plain,
! [X0,X1] : response(l3,X0) = response(l3,X1),
inference(superposition,[],[f167,f167]) ).
fof(f227,plain,
! [X0] : l3 = response(l3,X0),
inference(superposition,[],[f202,f10]) ).
fof(f346,plain,
! [X0] : response(l2,X0) = response(l3,response(kestrel,X0)),
inference(superposition,[],[f14,f26]) ).
fof(f352,plain,
response(lark,kestrel) = response(response(l2,lark),kestrel),
inference(superposition,[],[f29,f14]) ).
fof(f354,plain,
response(lark,kestrel) = response(l3,kestrel),
inference(forward_demodulation,[],[f352,f8]) ).
fof(f357,plain,
! [X0] : response(l2,X0) = response(l3,x2),
inference(forward_demodulation,[],[f346,f167]) ).
fof(f358,plain,
response(lark,kestrel) = response(l3,x2),
inference(forward_demodulation,[],[f354,f167]) ).
fof(f360,plain,
! [X0] : l3 = response(l2,X0),
inference(forward_demodulation,[],[f357,f227]) ).
fof(f361,plain,
l3 = response(lark,kestrel),
inference(forward_demodulation,[],[f358,f227]) ).
fof(f382,plain,
l2 != l3,
inference(superposition,[],[f6,f360]) ).
fof(f428,plain,
! [X0,X1] : response(X0,X0) = response(response(l3,X0),X1),
inference(forward_demodulation,[],[f16,f361]) ).
fof(f429,plain,
! [X0,X1] : response(X0,X0) = response(l3,X1),
inference(forward_demodulation,[],[f428,f227]) ).
fof(f430,plain,
! [X0] : response(X0,X0) = l3,
inference(forward_demodulation,[],[f429,f227]) ).
fof(f462,plain,
l2 = l3,
inference(superposition,[],[f7,f430]) ).
fof(f472,plain,
$false,
inference(forward_subsumption_resolution,[],[f462,f382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.15 % Computer : n012.cluster.edu
% 0.06/0.15 % Model : x86_64 x86_64
% 0.06/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.15 % Memory : 8046.5625MB
% 0.06/0.15 % OS : Linux 6.8.0-71-generic
% 0.06/0.15 % CPULimit : 300
% 0.06/0.15 % WCLimit : 300
% 0.06/0.15 % DateTime : Mon Sep 28 21:31:04 UTC 2026
% 0.06/0.16 % CPUTime :
% 0.06/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 Running first-order theorem proving
% 0.06/0.18 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
% 2.89/1.05 % (3802808)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.89/1.05 % (3802819)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3938721744:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 2.89/1.05 % (3802819)First to succeed.
% 2.89/1.05 % (3802819)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3802808"
% 2.89/1.05 % (3802813)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=2795681179:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 2.89/1.05 % (3802815)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3195250711:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 2.89/1.05 % (3802814)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=1103994078:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 2.89/1.05 % (3802818)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3808361011:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 2.89/1.05 % (3802816)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=939742547:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 2.89/1.05 % (3802817)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2289771751:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 2.89/1.05 % (3802817)Also succeeded, but the first one will report.
% 2.89/1.05 % (3802816)Refutation not found, incomplete strategy
% 2.89/1.05 % (3802816)------------------------------
% 2.89/1.05 % (3802816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.05 % (3802816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.05 % (3802816)CaDiCaL version: 2.1.3
% 2.89/1.05 % (3802816)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.05 % (3802816)Time elapsed: 0.015 s
% 2.89/1.05 % (3802816)Peak memory usage: 87 MB
% 2.89/1.05 % (3802816)Instructions burned: 30 (million)
% 2.89/1.05 % (3802818)Also succeeded, but the first one will report.
% 2.89/1.05 % (3802819)Refutation found. Thanks to Tanya!
% 2.89/1.05 % SZS status Unsatisfiable for theBenchmark
% 2.89/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/1.05 % (3802819)------------------------------
% 2.89/1.05 % (3802819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.05 % (3802819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.05 % (3802819)CaDiCaL version: 2.1.3
% 2.89/1.05 % (3802819)Termination reason: Refutation
% 2.89/1.05 % (3802819)Time elapsed: 0.006 s
% 2.89/1.05 % (3802819)Peak memory usage: 88 MB
% 2.89/1.05 % (3802819)Instructions burned: 17 (million)
% 2.89/1.05 % (3802819)------------------------------
% 2.89/1.05 % (3802819)------------------------------
% 2.89/1.05 % (3802808)Success in time 0.329 s
% 2.89/1.05 % Vampire exiting
%------------------------------------------------------------------------------