%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV388^5 : 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 : 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 08:38:33 AM UTC 2026
% Result : Theorem 0.11s 0.26s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV388^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n015.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 15:47:03 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running higher-order theorem proving
% 0.11/0.23 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
% 0.11/0.26 % (3691393)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.11/0.26 % (3691401)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=3867963991: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)
% 0.11/0.26 % (3691401) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3691393-3691401"...
% 0.11/0.26 % (3691401)...printing done.
% 0.11/0.26 % (3691404)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.11/0.26 % (3691404)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.11/0.26 % (3691401)Refutation found. Thanks to Tanya!
% 0.11/0.26 % SZS status Theorem for theBenchmark
% 0.11/0.26 % SZS output start Proof for theBenchmark
% 0.11/0.26 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.11/0.26 thf(func_def_0, type, cS: ($i > $o)).
% 0.11/0.26 thf(func_def_1, type, cR: ($i > $o)).
% 0.11/0.26 thf(f1,conjecture,(
% 0.11/0.26 (cR = cS) => ! [X0 : $i] : ((cR @ X0) => (cS @ X0))),
% 0.11/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM36_pme)).
% 0.11/0.26 thf(f2,negated_conjecture,(
% 0.11/0.26 ~((cR = cS) => ! [X0 : $i] : ((cR @ X0) => (cS @ X0)))),
% 0.11/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.26 thf(f3,plain,(
% 0.11/0.26 ~((cR = cS) => ! [X0 : $i] : ((cR @ X0) => (cS @ X0)))),
% 0.11/0.26 inference(rectify,[],[f2])).
% 0.11/0.26 thf(f4,plain,(
% 0.11/0.26 ~((cR = cS) => ! [X0 : $i] : ((((cR @ X0)) = $true) => (((cS @ X0)) = $true)))),
% 0.11/0.26 inference(fool_elimination,[],[f3])).
% 0.11/0.26 thf(f5,plain,(
% 0.11/0.26 ? [X0 : $i] : ((((cR @ X0)) = $true) & (((cS @ X0)) != $true)) & (cR = cS)),
% 0.11/0.26 inference(ennf_transformation,[],[f4])).
% 0.11/0.26 thf(f6,plain,(
% 0.11/0.26 ((((cR @ sK0)) = $true) & (((cS @ sK0)) != $true)) & (cR = cS)),
% 0.11/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5])).
% 0.11/0.26 thf(f7,plain,(
% 0.11/0.26 (cR = cS)),
% 0.11/0.26 inference(cnf_transformation,[],[f6])).
% 0.11/0.26 thf(f8,plain,(
% 0.11/0.26 (((cS @ sK0)) != $true)),
% 0.11/0.26 inference(cnf_transformation,[],[f6])).
% 0.11/0.26 thf(f9,plain,(
% 0.11/0.26 (((cR @ sK0)) = $true)),
% 0.11/0.26 inference(cnf_transformation,[],[f6])).
% 0.11/0.26 thf(f12,definition,(
% 0.11/0.26 spl1_1 <=> (((cR @ sK0)) = $true)),
% 0.11/0.26 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.11/0.26 thf(f15,plain,(
% 0.11/0.26 spl1_1),
% 0.11/0.26 inference(avatar_split_clause,[],[f9,f12])).
% 0.11/0.26 thf(f17,definition,(
% 0.11/0.26 spl1_2 <=> (((cS @ sK0)) = $true)),
% 0.11/0.26 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 0.11/0.26 thf(f20,plain,(
% 0.11/0.26 ~spl1_2),
% 0.11/0.26 inference(avatar_split_clause,[],[f8,f17])).
% 0.11/0.26 thf(f22,definition,(
% 0.11/0.26 spl1_3 <=> (cR = cS)),
% 0.11/0.26 introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition])).
% 0.11/0.26 thf(f25,plain,(
% 0.11/0.26 spl1_3),
% 0.11/0.26 inference(avatar_split_clause,[],[f7,f22])).
% 0.11/0.26 thf(f26,definition,(
% 0.11/0.26 (cR != cS) | (((cR @ sK0)) != $true) | (((cS @ sK0)) = $true)),
% 0.11/0.26 introduced(theory,[theory_tautology_sat_conflict])).
% 0.11/0.26 cnf(s1, plain, spl1_1, inference(sat_conversion,[],[f15])).
% 0.11/0.26 cnf(s2, plain, ~spl1_2, inference(sat_conversion,[],[f20])).
% 0.11/0.26 cnf(s3, plain, spl1_3, inference(sat_conversion,[],[f25])).
% 0.11/0.26 cnf(s4, plain, ~spl1_1 | spl1_2 | ~spl1_3, inference(sat_conversion,[],[f26])).
% 0.11/0.26 cnf(s5, plain, ~spl1_1, inference(rat,[],[s4,s3,s2])).
% 0.11/0.26 cnf(s6, plain, $false, inference(rat,[],[s1,s5])).
% 0.11/0.26 thf(f27,plain,(
% 0.11/0.26 $false),
% 0.11/0.26 inference(avatar_sat_refutation,[],[s6])).
% 0.11/0.26 % SZS output end Proof for theBenchmark
% 0.11/0.26 % (3691401)------------------------------
% 0.11/0.26 % (3691401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.26 % (3691401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.26 % (3691401)CaDiCaL version: 2.1.3
% 0.11/0.26 % (3691401)Termination reason: Refutation
% 0.11/0.26 % (3691401)Time elapsed: 0.001 s
% 0.11/0.26 % (3691401)Peak memory usage: 12 MB
% 0.11/0.26 % (3691401)Instructions burned: 1 (million)
% 0.11/0.26 % (3691393)Success in time 0.018 s
% 0.11/0.26 % Vampire exiting
%------------------------------------------------------------------------------