%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL058-3 : 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 : n003.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 3.58s 1.27s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 1 def)
% Number of atoms : 12 ( 6 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 : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : response(response(lark,X0),X1) = response(X0,response(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_exists) ).
fof(f2,negated_conjecture,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_bird_exists) ).
fof(f3,plain,
response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(reorient_equations,[],[f2]) ).
fof(f4,definition,
~ sP0(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f5,plain,
sP0(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),
inference(inequality_splitting,[],[f3,f4]) ).
fof(f6,plain,
! [X0,X1] : response(response(X0,X0),response(X1,X1)) = response(response(response(lark,lark),X0),X1),
inference(superposition,[],[f1,f1]) ).
fof(f19,plain,
! [X0,X1] : response(response(lark,X1),response(X0,X0)) = response(X1,response(response(response(lark,lark),X0),X0)),
inference(superposition,[],[f1,f6]) ).
fof(f87,plain,
! [X0,X1] : response(response(response(response(lark,lark),X0),X0),response(response(response(lark,lark),X1),X1)) = response(response(response(lark,lark),response(X0,X0)),response(X1,X1)),
inference(superposition,[],[f19,f19]) ).
fof(f128,plain,
sP0(response(response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),
inference(backward_demodulation,[],[f5,f87]) ).
fof(f130,plain,
sP0(response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),
inference(superposition,[],[f128,f1]) ).
fof(f131,plain,
sP0(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(superposition,[],[f130,f6]) ).
fof(f132,plain,
$false,
inference(forward_subsumption_resolution,[],[f131,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL058-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:33:12 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.58/1.27 % (2049922)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.58/1.27 % (2050059)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=3736752309:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 3.58/1.27 % (2050063)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1125217781:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 3.58/1.27 % (2050060)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=979882832:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 3.58/1.27 % (2050061)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3447133574:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 3.58/1.27 % (2050057)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=755246665:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 3.58/1.27 % (2050065)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=36115198:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 3.58/1.27 % (2050066)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1923933225:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 3.58/1.27 % (2050063)Also succeeded, but the first one will report.
% 3.58/1.27 % (2050061)First to succeed.
% 3.58/1.27 % (2050061)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2049922"
% 3.58/1.27 % (2050066)Also succeeded, but the first one will report.
% 3.58/1.27 % (2050065)Also succeeded, but the first one will report.
% 3.58/1.27 % (2050061)Refutation found. Thanks to Tanya!
% 3.58/1.27 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.27 % (2050061)------------------------------
% 3.58/1.27 % (2050061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.27 % (2050061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.27 % (2050061)CaDiCaL version: 2.1.3
% 3.58/1.27 % (2050061)Termination reason: Refutation
% 3.58/1.27 % (2050061)Time elapsed: 0.010 s
% 3.58/1.27 % (2050061)Peak memory usage: 88 MB
% 3.58/1.27 % (2050061)Instructions burned: 14 (million)
% 3.58/1.27 % (2050061)------------------------------
% 3.58/1.27 % (2050061)------------------------------
% 3.58/1.27 % (2049922)Success in time 0.416 s
% 3.58/1.27 % Vampire exiting
%------------------------------------------------------------------------------