%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU553^2 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:30:03 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU553^2 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n015.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 13:53:18 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 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
% 0.19/0.27 % (3559375)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.27 % (3559383)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=3284152295: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)
% 0.19/0.27 % (3559383) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3559375-3559383"...
% 0.19/0.27 % (3559383)...printing done.
% 0.19/0.27 % (3559383)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.27 thf(func_def_0, type, powerset: ($i > $i)).
% 0.19/0.27 thf(f1,conjecture,(
% 0.19/0.27 ! [X1 : $i,X0 : $i] : ((X0 = X1) => (((powerset @ X0)) = ((powerset @ X1))))),
% 0.19/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powerset__Cong)).
% 0.19/0.27 thf(f2,negated_conjecture,(
% 0.19/0.27 ~ ! [X1 : $i,X0 : $i] : ((X0 = X1) => (((powerset @ X0)) = ((powerset @ X1))))),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.27 thf(f3,plain,(
% 0.19/0.27 ~ ! [X1 : $i,X0 : $i] : ((X0 = X1) => (((powerset @ X0)) = ((powerset @ X1))))),
% 0.19/0.27 inference(rectify,[],[f2])).
% 0.19/0.27 thf(f4,plain,(
% 0.19/0.27 ? [X0 : $i,X1 : $i] : ((((powerset @ X0)) != ((powerset @ X1))) & (X0 = X1))),
% 0.19/0.27 inference(ennf_transformation,[],[f3])).
% 0.19/0.27 thf(f5,plain,(
% 0.19/0.27 (((powerset @ sK0)) != ((powerset @ sK1))) & (sK0 = sK1)),
% 0.19/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f4])).
% 0.19/0.27 thf(f6,plain,(
% 0.19/0.27 (sK0 = sK1)),
% 0.19/0.27 inference(cnf_transformation,[],[f5])).
% 0.19/0.27 thf(f7,plain,(
% 0.19/0.27 (((powerset @ sK0)) != ((powerset @ sK1)))),
% 0.19/0.27 inference(cnf_transformation,[],[f5])).
% 0.19/0.27 thf(f9,definition,(
% 0.19/0.27 spl2_1 <=> (((powerset @ sK0)) = ((powerset @ sK1)))),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition])).
% 0.19/0.27 thf(f12,plain,(
% 0.19/0.27 ~spl2_1),
% 0.19/0.27 inference(avatar_split_clause,[],[f7,f9])).
% 0.19/0.27 thf(f14,definition,(
% 0.19/0.27 spl2_2 <=> (sK0 = sK1)),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition])).
% 0.19/0.27 thf(f17,plain,(
% 0.19/0.27 spl2_2),
% 0.19/0.27 inference(avatar_split_clause,[],[f6,f14])).
% 0.19/0.27 thf(f18,definition,(
% 0.19/0.27 (sK0 != sK1) | (((powerset @ sK0)) = ((powerset @ sK1)))),
% 0.19/0.27 introduced(theory,[theory_tautology_sat_conflict])).
% 0.19/0.27 cnf(s1, plain, ~spl2_1, inference(sat_conversion,[],[f12])).
% 0.19/0.27 cnf(s2, plain, spl2_2, inference(sat_conversion,[],[f17])).
% 0.19/0.27 cnf(s3, plain, spl2_1 | ~spl2_2, inference(sat_conversion,[],[f18])).
% 0.19/0.27 cnf(s4, plain, spl2_1, inference(rat,[],[s3,s2])).
% 0.19/0.27 cnf(s5, plain, $false, inference(rat,[],[s1,s4])).
% 0.19/0.27 thf(f19,plain,(
% 0.19/0.27 $false),
% 0.19/0.27 inference(avatar_sat_refutation,[],[s5])).
% 0.19/0.27 % SZS output end Proof for theBenchmark
% 0.19/0.27 % (3559383)------------------------------
% 0.19/0.27 % (3559383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3559383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3559383)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3559383)Termination reason: Refutation
% 0.19/0.27 % (3559383)Time elapsed: 0.001 s
% 0.19/0.27 % (3559383)Peak memory usage: 12 MB
% 0.19/0.27 % (3559383)Instructions burned: 1 (million)
% 0.19/0.27 % (3559375)Success in time 0.037 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------