%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU908^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:31:55 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
% 0.00/0.02 % Problem : SEU908^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n005.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 14:44:46 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.26 % (1760013)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.26 % (1760024)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.26 % (1760024)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
% 0.09/0.26 % (1760019)lrs+10_16_si=on:nwc=1.5:random_seed=2728955477:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.26 % (1760018)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2812808443:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.26 % (1760020)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=475939410:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.09/0.26 % (1760022)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2510616279:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.26 % (1760021)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=1828426362: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)
% 0.09/0.26 % (1760018) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1760013-1760018"...
% 0.09/0.26 % (1760024)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1272791552:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.09/0.26 % (1760020) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1760013-1760020"...
% 0.09/0.26 % (1760022) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1760013-1760022"...
% 0.09/0.26 % (1760019) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1760013-1760019"...
% 0.09/0.26 % (1760021) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1760013-1760021"...
% 0.09/0.26 % (1760020)...printing done.
% 0.09/0.26 % (1760018)...printing done.
% 0.09/0.26 % (1760022)...printing done.
% 0.09/0.26 % (1760023)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2775932327:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.26 % (1760019)...printing done.
% 0.09/0.26 % (1760021)...printing done.
% 0.09/0.26 % (1760023) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1760013-1760023"...
% 0.09/0.26 % (1760018)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 thf(type_def_5, type, a: $tType).
% 0.09/0.26 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.26 thf(func_def_0, type, f: (a > a)).
% 0.09/0.26 thf(func_def_4, type, sK0: a).
% 0.09/0.26 thf(func_def_5, type, sK1: (a > $o)).
% 0.09/0.26 thf(func_def_6, type, sK2: ((a > $o) > a)).
% 0.09/0.26 thf(func_def_7, type, vNOT: ($o > $o)).
% 0.09/0.26 thf(func_def_8, type, db0: !>[X0: $tType]:(X0)).
% 0.09/0.26 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.09/0.26 thf(f1,conjecture,(
% 0.09/0.26 ! [X0 : a] : (! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ X0)) => ! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ (f @ X0))))),
% 0.09/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM527_pme)).
% 0.09/0.26 thf(f2,negated_conjecture,(
% 0.09/0.26 ~ ! [X0 : a] : (! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ X0)) => ! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ (f @ X0))))),
% 0.09/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.26 thf(f3,plain,(
% 0.09/0.26 ~ ! [X0 : a] : (! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ X0)) => ! [X3 : (a > $o)] : (! [X4 : a] : ((X3 @ X4) => (X3 @ (f @ X4))) => (X3 @ (f @ X0))))),
% 0.09/0.26 inference(rectify,[],[f2])).
% 0.09/0.26 thf(f4,plain,(
% 0.09/0.26 ~ ! [X0 : a] : (! [X1 : (a > $o)] : (! [X2 : a] : ((((X1 @ X2)) = $true) => (((X1 @ (f @ X2))) = $true)) => (((X1 @ X0)) = $true)) => ! [X3 : (a > $o)] : (! [X4 : a] : (($true = ((X3 @ X4))) => ($true = ((X3 @ (f @ X4))))) => (((X3 @ (f @ X0))) = $true)))),
% 0.09/0.26 inference(fool_elimination,[],[f3])).
% 0.09/0.26 thf(f5,plain,(
% 0.09/0.26 ? [X0 : a] : (? [X3 : (a > $o)] : (! [X4 : a] : (($true != ((X3 @ X4))) | ($true = ((X3 @ (f @ X4))))) & (((X3 @ (f @ X0))) != $true)) & ! [X1 : (a > $o)] : ((((X1 @ X0)) = $true) | ? [X2 : a] : ((((X1 @ (f @ X2))) != $true) & (((X1 @ X2)) = $true))))),
% 0.09/0.26 inference(ennf_transformation,[],[f4])).
% 0.09/0.26 thf(f6,plain,(
% 0.09/0.26 ? [X0 : a] : (? [X1 : (a > $o)] : (! [X2 : a] : ((((X1 @ X2)) != $true) | (((X1 @ (f @ X2))) = $true)) & (((X1 @ (f @ X0))) != $true)) & ! [X3 : (a > $o)] : (($true = ((X3 @ X0))) | ? [X4 : a] : (($true != ((X3 @ (f @ X4)))) & ($true = ((X3 @ X4))))))),
% 0.09/0.26 inference(rectify,[],[f5])).
% 0.09/0.26 thf(f7,plain,(
% 0.09/0.26 (! [X2 : a] : (($true != ((sK1 @ X2))) | ($true = ((sK1 @ (f @ X2))))) & ($true != ((sK1 @ (f @ sK0))))) & ! [X3 : (a > $o)] : (($true = ((X3 @ sK0))) | (($true != ((X3 @ (f @ (sK2 @ X3))))) & (((X3 @ (sK2 @ X3))) = $true)))),
% 0.09/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X4,sK2 @ X3)],[f6])).
% 0.09/0.26 thf(f8,plain,(
% 0.09/0.26 ( ! [X3 : (a > $o)] : ((((X3 @ (sK2 @ X3))) = $true) | ($true = ((X3 @ sK0)))) )),
% 0.09/0.26 inference(cnf_transformation,[],[f7])).
% 0.09/0.26 thf(f15,plain,(
% 0.09/0.26 ((((^[Y0 : a]: ($false)) @ sK0)) = $true) | ($true = (((^[Y0 : a]: ($false)) @ (sK2 @ (^[Y0 : a]: ($false))))))),
% 0.09/0.26 inference(primitive_instantiation,[],[f8])).
% 0.09/0.26 thf(f18,plain,(
% 0.09/0.26 ($true = $false) | ($true = $false)),
% 0.09/0.26 inference(beta-eta_normalization,[],[f15])).
% 0.09/0.26 thf(f19,plain,(
% 0.09/0.26 ($true = $false)),
% 0.09/0.26 inference(duplicate_literal_removal,[],[f18])).
% 0.09/0.26 thf(f20,plain,(
% 0.09/0.26 $false),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f19])).
% 0.09/0.26 % SZS output end Proof for theBenchmark
% 0.09/0.26 % (1760018)------------------------------
% 0.09/0.26 % (1760018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (1760018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (1760018)CaDiCaL version: 2.1.3
% 0.09/0.26 % (1760018)Termination reason: Refutation
% 0.09/0.26 % (1760018)Time elapsed: 0.002 s
% 0.09/0.26 % (1760018)Peak memory usage: 12 MB
% 0.09/0.26 % (1760018)Instructions burned: 1 (million)
% 0.09/0.26 % (1760013)Success in time 0.043 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------