%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET045^5 : 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 : 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 : Wed Sep 30 08:23:12 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET045^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n003.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 13:37:58 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 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
% 0.22/0.28 % (2503666)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.28 % (2503675)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1357209172:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.28 % (2503675) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2503666-2503675"...
% 0.22/0.28 % (2503675)...printing done.
% 0.22/0.28 % (2503675)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% 0.22/0.28 thf(type_def_5, type, b: $tType).
% 0.22/0.28 thf(type_def_6, type, a: $tType).
% 0.22/0.28 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.28 thf(func_def_0, type, cA: b).
% 0.22/0.28 thf(func_def_2, type, sK0: ((a > b) > a)).
% 0.22/0.28 thf(func_def_5, type, db0: !>[X0: $tType]:(X0)).
% 0.22/0.28 thf(func_def_6, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.22/0.28 thf(f1,conjecture,(
% 0.22/0.28 ? [X0 : (a > b)] : ! [X1 : a] : (((X0 @ X1)) = cA)),
% 0.22/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTTTP5243)).
% 0.22/0.28 thf(f2,negated_conjecture,(
% 0.22/0.28 ~ ? [X0 : (a > b)] : ! [X1 : a] : (((X0 @ X1)) = cA)),
% 0.22/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.22/0.28 thf(f3,plain,(
% 0.22/0.28 ! [X0 : (a > b)] : ? [X1 : a] : (((X0 @ X1)) != cA)),
% 0.22/0.28 inference(ennf_transformation,[],[f2])).
% 0.22/0.28 thf(f4,plain,(
% 0.22/0.28 ! [X0 : (a > b)] : (cA != ((X0 @ (sK0 @ X0))))),
% 0.22/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f3])).
% 0.22/0.28 thf(f5,plain,(
% 0.22/0.28 ( ! [X0 : (a > b)] : ((cA != ((X0 @ (sK0 @ X0))))) )),
% 0.22/0.28 inference(cnf_transformation,[],[f4])).
% 0.22/0.28 thf(f6,plain,(
% 0.22/0.28 (cA != (((^[Y0 : a]: (cA)) @ (sK0 @ (^[Y0 : a]: (cA))))))),
% 0.22/0.28 inference(imitation,[],[f5])).
% 0.22/0.28 thf(f7,plain,(
% 0.22/0.28 (cA != cA)),
% 0.22/0.28 inference(beta-eta_normalization,[],[f6])).
% 0.22/0.28 thf(f8,plain,(
% 0.22/0.28 $false),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f7])).
% 0.22/0.28 % SZS output end Proof for theBenchmark
% 0.22/0.28 % (2503675)------------------------------
% 0.22/0.28 % (2503675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (2503675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (2503675)CaDiCaL version: 2.1.3
% 0.22/0.28 % (2503675)Termination reason: Refutation
% 0.22/0.28 % (2503675)Time elapsed: 0.001 s
% 0.22/0.28 % (2503675)Peak memory usage: 12 MB
% 0.22/0.28 % (2503666)Success in time 0.03 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------