%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL052-1 : 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 : n014.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 09:37:45 AM UTC 2026
% Result : Unsatisfiable 3.53s 1.35s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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; 4 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composer_exists) ).
fof(f2,axiom,
! [X0] : response(c,common_bird(X0)) = response(X0,common_bird(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agreeable1) ).
fof(f3,negated_conjecture,
! [X0] : response(a,X0) != response(odd_bird,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_agreeable) ).
fof(f4,axiom,
c = compose(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_composes_a_with_b) ).
fof(f6,plain,
! [X0] : response(a,response(b,X0)) = response(c,X0),
inference(superposition,[],[f1,f4]) ).
fof(f8,plain,
! [X0,X1] : response(c,common_bird(compose(X0,X1))) = response(X0,response(X1,common_bird(compose(X0,X1)))),
inference(superposition,[],[f2,f1]) ).
fof(f9,plain,
! [X0] : response(c,X0) != response(odd_bird,response(b,X0)),
inference(superposition,[],[f3,f6]) ).
fof(f17,plain,
response(c,common_bird(compose(odd_bird,b))) != response(c,common_bird(compose(odd_bird,b))),
inference(superposition,[],[f9,f8]) ).
fof(f20,plain,
$false,
inference(trivial_inequality_removal,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n014.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 21:31:01 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running first-order theorem proving
% 0.09/0.26 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
% 3.53/1.35 % (2208747)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.53/1.35 % (2208821)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1004883364:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 3.53/1.35 % (2208811)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=1489444266:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 3.53/1.35 % (2208815)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2350215411:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 3.53/1.35 % (2208817)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=137458009:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 3.53/1.35 % (2208817)First to succeed.
% 3.53/1.35 % (2208817)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2208747"
% 3.53/1.35 % (2208813)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=3461994076:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 3.53/1.35 % (2208819)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4046445071:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 3.53/1.35 % (2208819)Also succeeded, but the first one will report.
% 3.53/1.35 % (2208823)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3410514328:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 3.53/1.35 % (2208823)Also succeeded, but the first one will report.
% 3.53/1.35 % (2208821)Also succeeded, but the first one will report.
% 3.53/1.35 % (2208817)Refutation found. Thanks to Tanya!
% 3.53/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.53/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.35 % (2208817)------------------------------
% 3.53/1.35 % (2208817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.35 % (2208817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.35 % (2208817)CaDiCaL version: 2.1.3
% 3.53/1.35 % (2208817)Termination reason: Refutation
% 3.53/1.35 % (2208817)Time elapsed: 0.002 s
% 3.53/1.35 % (2208817)Peak memory usage: 87 MB
% 3.53/1.35 % (2208817)Instructions burned: 1 (million)
% 3.53/1.35 % (2208817)------------------------------
% 3.53/1.35 % (2208817)------------------------------
% 3.53/1.35 % (2208747)Success in time 0.39 s
% 3.53/1.35 % Vampire exiting
%------------------------------------------------------------------------------