%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET627^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 : Wed Sep 30 08:23:24 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET627^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n016.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:44:50 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26 % (364147)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.26 % (364155)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1430145498:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.26 % (364155) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-364147-364155"...
% 0.09/0.26 % (364155)...printing done.
% 0.09/0.26 % (364155)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% 0.09/0.26 tff(type_def_5, type, a: $tType).
% 0.09/0.26 tff(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.26 fof(f1,conjecture,(
% 0.09/0.26 ! [X0 : (a > $o)] : ~ ? [X1 : a] : ($false & vAPP(a,$o,X0,X1))),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_104_pme)).
% 0.09/0.26 fof(f2,negated_conjecture,(
% 0.09/0.26 ~ ! [X0 : (a > $o)] : ~ ? [X1 : a] : ($false & vAPP(a,$o,X0,X1))),
% 0.09/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.26 fof(f3,plain,(
% 0.09/0.26 ~ ! [X0 : (a > $o)] : ~ ? [X1 : a] : ($false & vAPP(a,$o,X0,X1))),
% 0.09/0.26 inference(rectify,[],[f2])).
% 0.09/0.26 fof(f4,plain,(
% 0.09/0.26 ~ ! [X0 : (a > $o)] : ~ ? [X1 : a] : ($false & (vAPP(a,$o,X0,X1) = $true))),
% 0.09/0.26 inference(fool_elimination,[],[f3])).
% 0.09/0.26 fof(f5,plain,(
% 0.09/0.26 $false),
% 0.09/0.26 inference(true_and_false_elimination,[],[f4])).
% 0.09/0.26 fof(f6,plain,(
% 0.09/0.26 $false),
% 0.09/0.26 inference(cnf_transformation,[],[f5])).
% 0.09/0.26 % SZS output end Proof for theBenchmark
% 0.09/0.26 % (364155)------------------------------
% 0.09/0.26 % (364155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (364155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (364155)CaDiCaL version: 2.1.3
% 0.09/0.26 % (364155)Termination reason: Refutation
% 0.09/0.26 % (364155)Time elapsed: 0.0000 s
% 0.09/0.26 % (364155)Peak memory usage: 11 MB
% 0.09/0.26 % (364147)Success in time 0.015 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------