%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV082^5 : 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 : n004.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 08:37:36 AM UTC 2026
% Result : Theorem 0.23s 0.30s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV082^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n004.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 15:07:07 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 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
% 0.23/0.30 % (1407061)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.30 % (1407070)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2894846471:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.30 % (1407066)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3642611377:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.30 % (1407067)lrs+10_16_si=on:nwc=1.5:random_seed=4248397368:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.30 % (1407068)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=707309911:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.30 % (1407069)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=4148898024: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)
% 0.23/0.30 % (1407070) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1407061-1407070"...
% 0.23/0.30 % (1407068)Instruction limit reached!
% 0.23/0.30 % (1407068)------------------------------
% 0.23/0.30 % (1407068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.30 % (1407068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.30 % (1407068)CaDiCaL version: 2.1.3
% 0.23/0.30 % (1407068)Termination reason: Instruction limit
% 0.23/0.30 % (1407068)Termination phase: Saturation
% 0.23/0.30 % (1407068)Time elapsed: 0.003 s
% 0.23/0.30 % (1407068)Peak memory usage: 12 MB
% 0.23/0.30 % (1407068)Instructions burned: 5 (million)
% 0.23/0.30 % (1407066) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1407061-1407066"...
% 0.23/0.30 % (1407069) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1407061-1407069"...
% 0.23/0.30 % (1407070)...printing done.
% 0.23/0.30 % (1407070)Refutation found. Thanks to Tanya!
% 0.23/0.30 % SZS status Theorem for theBenchmark
% 0.23/0.30 % SZS output start Proof for theBenchmark
% 0.23/0.30 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.23/0.30 thf(func_def_3, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.23/0.30 thf(func_def_4, type, sK0: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.23/0.30 thf(func_def_5, type, sK1: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.23/0.30 thf(func_def_6, type, sK2: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.23/0.30 thf(func_def_7, type, sK3: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.23/0.30 thf(func_def_8, type, vNOT: ($o > $o)).
% 0.23/0.30 thf(func_def_9, type, db0: !>[X0: $tType]:(X0)).
% 0.23/0.30 thf(func_def_10, type, db1: !>[X0: $tType]:(X0)).
% 0.23/0.30 thf(func_def_11, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.23/0.30 thf(f1,conjecture,(
% 0.23/0.30 $false | ? [X0 : (($i > $o) > ($i > $o) > $o)] : (~(X0 @ (^[X1 : $i] : ($true)) @ (^[X1 : $i] : ($false))) & ! [X1 : ($i > $o)] : (X0 @ X1 @ X1) & ! [X1 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)))),
% 0.23/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120_4_pme)).
% 0.23/0.30 thf(f2,negated_conjecture,(
% 0.23/0.30 ~($false | ? [X0 : (($i > $o) > ($i > $o) > $o)] : (~(X0 @ (^[X1 : $i] : ($true)) @ (^[X1 : $i] : ($false))) & ! [X1 : ($i > $o)] : (X0 @ X1 @ X1) & ! [X1 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3))))),
% 0.23/0.30 inference(negated_conjecture,[status(cth)],[f1])).
% 0.23/0.30 thf(f3,plain,(
% 0.23/0.30 ~($false | ? [X0 : (($i > $o) > ($i > $o) > $o)] : (~(X0 @ (^[X1 : $i] : ($true)) @ (^[X2 : $i] : ($false))) & ! [X3 : ($i > $o)] : (X0 @ X3 @ X3) & ! [X4 : ($i > $o),X5 : ($i > $o),X6 : ($i > $o)] : (((X0 @ X5 @ X6) & (X0 @ X4 @ X5)) => (X0 @ X4 @ X6))))),
% 0.23/0.30 inference(rectify,[],[f2])).
% 0.23/0.30 thf(f4,plain,(
% 0.23/0.30 ~($false | ? [X0 : (($i > $o) > ($i > $o) > $o)] : (~ ($true = ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) & ! [X3 : ($i > $o)] : ($true = ((X0 @ X3 @ X3))) & ! [X4 : ($i > $o),X5 : ($i > $o),X6 : ($i > $o)] : ((($true = ((X0 @ X5 @ X6))) & ($true = ((X0 @ X4 @ X5)))) => ($true = ((X0 @ X4 @ X6))))))),
% 0.23/0.30 inference(fool_elimination,[],[f3])).
% 0.23/0.30 thf(f5,plain,(
% 0.23/0.30 ~($false | ? [X0 : (($i > $o) > ($i > $o) > $o)] : (~ ($true = ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) & ! [X1 : ($i > $o)] : (((X0 @ X1 @ X1)) = $true) & ! [X4 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : (((((X0 @ X2 @ X3)) = $true) & ($true = ((X0 @ X3 @ X4)))) => ($true = ((X0 @ X2 @ X4))))))),
% 0.23/0.30 inference(rectify,[],[f4])).
% 0.23/0.30 thf(f6,plain,(
% 0.23/0.30 ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : (~ ($true = ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) & ! [X1 : ($i > $o)] : (((X0 @ X1 @ X1)) = $true) & ! [X4 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : (((((X0 @ X2 @ X3)) = $true) & ($true = ((X0 @ X3 @ X4)))) => ($true = ((X0 @ X2 @ X4)))))),
% 0.23/0.30 inference(true_and_false_elimination,[],[f5])).
% 0.23/0.30 thf(f7,plain,(
% 0.23/0.30 ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : (! [X1 : ($i > $o)] : (((X0 @ X1 @ X1)) = $true) & ! [X4 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : (((((X0 @ X2 @ X3)) = $true) & ($true = ((X0 @ X3 @ X4)))) => ($true = ((X0 @ X2 @ X4)))) & ($true != ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))))),
% 0.23/0.30 inference(flattening,[],[f6])).
% 0.23/0.30 thf(f8,plain,(
% 0.23/0.30 ! [X0 : (($i > $o) > ($i > $o) > $o)] : (? [X1 : ($i > $o)] : (((X0 @ X1 @ X1)) != $true) | ? [X4 : ($i > $o),X2 : ($i > $o),X3 : ($i > $o)] : (($true != ((X0 @ X2 @ X4))) & ((((X0 @ X2 @ X3)) = $true) & ($true = ((X0 @ X3 @ X4))))) | ($true = ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))))),
% 0.23/0.30 inference(ennf_transformation,[],[f7])).
% 0.23/0.30 thf(f9,plain,(
% 0.23/0.30 ! [X0 : (($i > $o) > ($i > $o) > $o)] : (($true = ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) | ? [X1 : ($i > $o)] : (((X0 @ X1 @ X1)) != $true) | ? [X2 : ($i > $o),X3 : ($i > $o),X4 : ($i > $o)] : (($true != ((X0 @ X2 @ X4))) & ($true = ((X0 @ X3 @ X4))) & (((X0 @ X2 @ X3)) = $true)))),
% 0.23/0.30 inference(flattening,[],[f8])).
% 0.23/0.30 thf(f10,plain,(
% 0.23/0.30 ! [X0 : (($i > $o) > ($i > $o) > $o)] : (($true = ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) | ($true != ((X0 @ (sK0 @ X0) @ (sK0 @ X0)))) | (($true != ((X0 @ (sK1 @ X0) @ (sK3 @ X0)))) & ($true = ((X0 @ (sK2 @ X0) @ (sK3 @ X0)))) & ($true = ((X0 @ (sK1 @ X0) @ (sK2 @ X0))))))),
% 0.23/0.30 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP]),skolemize(X4,sK3 @ X0),skolemize(X4,sK3 @ X0),skolemize(X4,sK3 @ X0),skolemize(X4,sK3 @ X0)],[f9])).
% 0.23/0.30 thf(f11,plain,(
% 0.23/0.30 ( ! [X0 : (($i > $o) > ($i > $o) > $o)] : (($true = ((X0 @ (sK1 @ X0) @ (sK2 @ X0)))) | ($true = ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) | ($true != ((X0 @ (sK0 @ X0) @ (sK0 @ X0))))) )),
% 0.23/0.30 inference(cnf_transformation,[],[f10])).
% 0.23/0.30 thf(f12,plain,(
% 0.23/0.30 ( ! [X0 : (($i > $o) > ($i > $o) > $o)] : (($true = ((X0 @ (sK2 @ X0) @ (sK3 @ X0)))) | ($true = ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) | ($true != ((X0 @ (sK0 @ X0) @ (sK0 @ X0))))) )),
% 0.23/0.30 inference(cnf_transformation,[],[f10])).
% 0.23/0.30 thf(f13,plain,(
% 0.23/0.30 ( ! [X0 : (($i > $o) > ($i > $o) > $o)] : (($true != ((X0 @ (sK1 @ X0) @ (sK3 @ X0)))) | ($true != ((X0 @ (sK0 @ X0) @ (sK0 @ X0)))) | ($true = ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))))) )),
% 0.23/0.30 inference(cnf_transformation,[],[f10])).
% 0.23/0.30 thf(f15,plain,(
% 0.23/0.30 ($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))))))) | ($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) | ($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))))))),
% 0.23/0.30 inference(primitive_instantiation,[],[f11])).
% 0.23/0.30 thf(f22,plain,(
% 0.23/0.30 ($true != (((sK0 @ =) = (sK0 @ =)))) | ($true = (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))))) | ($true = (((sK1 @ =) = (sK2 @ =))))),
% 0.23/0.30 inference(beta-eta_normalization,[],[f15])).
% 0.23/0.30 thf(f23,plain,(
% 0.23/0.30 (((sK0 @ =)) != ((sK0 @ =))) | ($true = (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))))) | ($true = (((sK1 @ =) = (sK2 @ =))))),
% 0.23/0.30 inference(equality_proxy_clausification,[],[f22])).
% 0.23/0.30 thf(f24,plain,(
% 0.23/0.30 (((sK0 @ =)) != ((sK0 @ =))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | ($true = (((sK1 @ =) = (sK2 @ =))))),
% 0.23/0.30 inference(equality_proxy_clausification,[],[f23])).
% 0.23/0.30 thf(f25,plain,(
% 0.23/0.30 ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | (((sK0 @ =)) != ((sK0 @ =))) | (((sK2 @ =)) = ((sK1 @ =)))),
% 0.23/0.30 inference(equality_proxy_clausification,[],[f24])).
% 0.23/0.30 thf(f26,plain,(
% 0.23/0.30 (((sK2 @ =)) = ((sK1 @ =))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))),
% 0.23/0.30 inference(trivial_inequality_removal,[],[f25])).
% 0.23/0.30 thf(f60,plain,(
% 0.23/0.30 ($true = (((sK1 @ =) = (sK3 @ =)))) | ($true = (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))))) | ($true != (((sK0 @ =) = (sK0 @ =)))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))),
% 0.23/0.30 inference(superposition,[],[f12,f26])).
% 0.23/0.30 thf(f68,plain,(
% 0.23/0.30 ($true != (((sK0 @ =) = (sK0 @ =)))) | ($true = (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))))) | (((sK3 @ =)) = ((sK1 @ =))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))),
% 0.23/0.30 inference(equality_proxy_clausification,[],[f60])).
% 0.23/0.30 thf(f69,plain,(
% 0.23/0.30 (((sK3 @ =)) = ((sK1 @ =))) | (((sK0 @ =)) != ((sK0 @ =))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | ($true = (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false)))))),
% 0.23/0.30 inference(equality_proxy_clausification,[],[f68])).
% 0.23/0.30 thf(f70,plain,(
% 0.23/0.30 ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | (((sK3 @ =)) = ((sK1 @ =))) | (((sK0 @ =)) != ((sK0 @ =)))),
% 0.23/0.30 inference(equality_proxy_clausification,[],[f69])).
% 0.23/0.30 thf(f71,plain,(
% 0.23/0.30 (((sK0 @ =)) != ((sK0 @ =))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | (((sK3 @ =)) = ((sK1 @ =)))),
% 0.23/0.30 inference(duplicate_literal_removal,[],[f70])).
% 0.23/0.30 thf(f72,plain,(
% 0.23/0.30 (((sK3 @ =)) = ((sK1 @ =))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))),
% 0.23/0.30 inference(trivial_inequality_removal,[],[f71])).
% 0.23/0.30 thf(f113,plain,(
% 0.23/0.30 ($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))))))) | ($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))))))) | ($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))))),
% 0.23/0.30 inference(primitive_instantiation,[],[f13])).
% 0.23/0.30 thf(f138,plain,(
% 0.23/0.30 ($true != (((sK0 @ =) = (sK0 @ =)))) | ($true != (((sK1 @ =) = (sK3 @ =)))) | ($true = (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false)))))),
% 0.23/0.30 inference(beta-eta_normalization,[],[f113])).
% 0.23/0.30 thf(f139,plain,(
% 0.23/0.30 ($true != (((sK1 @ =) = (sK3 @ =)))) | ($true = (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))))) | (((sK0 @ =)) != ((sK0 @ =)))),
% 0.23/0.30 inference(equality_proxy_clausification,[],[f138])).
% 0.23/0.30 thf(f140,plain,(
% 0.23/0.30 (((sK3 @ =)) != ((sK1 @ =))) | (((sK0 @ =)) != ((sK0 @ =))) | ($true = (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false)))))),
% 0.23/0.30 inference(equality_proxy_clausification,[],[f139])).
% 0.23/0.30 thf(f141,plain,(
% 0.23/0.30 (((sK0 @ =)) != ((sK0 @ =))) | (((sK3 @ =)) != ((sK1 @ =))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))),
% 0.23/0.30 inference(equality_proxy_clausification,[],[f140])).
% 0.23/0.30 thf(f142,plain,(
% 0.23/0.30 ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | (((sK3 @ =)) != ((sK1 @ =)))),
% 0.23/0.30 inference(trivial_inequality_removal,[],[f141])).
% 0.23/0.30 thf(f147,plain,(
% 0.23/0.30 ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))),
% 0.23/0.30 inference(forward_subsumption_resolution,[],[f142,f72])).
% 0.23/0.30 thf(f148,plain,(
% 0.23/0.30 ( ! [X1 : $i] : (((((^[Y0 : $i]: ($true)) @ X1)) = (((^[Y0 : $i]: ($false)) @ X1)))) )),
% 0.23/0.30 inference(argument_congruence,[],[f147])).
% 0.23/0.30 thf(f150,plain,(
% 0.23/0.30 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: ($false)) @ X1))) | ((((^[Y0 : $i]: ($true)) @ X1)) = $false)) )),
% 0.23/0.30 inference(iff_proxy_clausification,[],[f148])).
% 0.23/0.30 thf(f151,plain,(
% 0.23/0.30 ($true = $false) | ($true = $false)),
% 0.23/0.30 inference(beta-eta_normalization,[],[f150])).
% 0.23/0.30 thf(f152,plain,(
% 0.23/0.30 ($true = $false)),
% 0.23/0.30 inference(duplicate_literal_removal,[],[f151])).
% 0.23/0.30 thf(f153,plain,(
% 0.23/0.30 $false),
% 0.23/0.30 inference(trivial_inequality_removal,[],[f152])).
% 0.23/0.30 % SZS output end Proof for theBenchmark
% 0.23/0.30 % (1407070)------------------------------
% 0.23/0.30 % (1407070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.30 % (1407070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.30 % (1407070)CaDiCaL version: 2.1.3
% 0.23/0.30 % (1407070)Termination reason: Refutation
% 0.23/0.30 % (1407070)Time elapsed: 0.005 s
% 0.23/0.30 % (1407070)Peak memory usage: 12 MB
% 0.23/0.30 % (1407070)Instructions burned: 9 (million)
% 0.23/0.30 % (1407061)Success in time 0.038 s
% 0.23/0.30 % Vampire exiting
%------------------------------------------------------------------------------