%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV088^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 08:38:59 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV088^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n013.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 15:06:36 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.25 % (2231618)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (2231636)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1719638516:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.25 % (2231636) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2231618-2231636"...
% 0.07/0.25 % (2231636)...printing done.
% 0.07/0.25 % (2231636)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% 0.07/0.25 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.07/0.25 thf(func_def_3, type, sK0: ((($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o)).
% 0.07/0.25 thf(func_def_4, type, sK1: ((($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i)).
% 0.07/0.25 thf(func_def_5, type, sK2: ((($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o)).
% 0.07/0.25 thf(func_def_6, type, sK3: ((($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o)).
% 0.07/0.25 thf(func_def_7, type, sK4: ((($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o)).
% 0.07/0.25 thf(func_def_8, type, sK5: ((($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i)).
% 0.07/0.25 thf(func_def_9, type, vNOT: ($o > $o)).
% 0.07/0.25 thf(func_def_10, type, db1: !>[X0: $tType]:(X0)).
% 0.07/0.25 thf(func_def_11, type, db2: !>[X0: $tType]:(X0)).
% 0.07/0.25 thf(func_def_12, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.07/0.25 thf(func_def_13, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.07/0.25 thf(func_def_14, type, db0: !>[X0: $tType]:(X0)).
% 0.07/0.25 thf(f1,conjecture,(
% 0.07/0.25 ? [X0 : (($i > $o) > ($i > $o) > $i > $o),X1 : (($i > $o) > ($i > $o) > $i > $o)] : (! [X2 : ($i > $o),X5 : $i] : ((X0 @ X2 @ X2 @ X5) | (X1 @ X2 @ X2 @ X5)) & ! [X2 : ($i > $o),X3 : ($i > $o),X4 : ($i > $o)] : ((! [X5 : $i] : ((X0 @ X3 @ X4 @ X5) | (X1 @ X3 @ X4 @ X5)) & ! [X5 : $i] : ((X0 @ X2 @ X3 @ X5) | (X1 @ X2 @ X3 @ X5))) => ! [X5 : $i] : ((X0 @ X2 @ X4 @ X5) | (X1 @ X2 @ X4 @ X5))))),
% 0.07/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM120G_pme)).
% 0.07/0.25 thf(f2,negated_conjecture,(
% 0.07/0.25 ~ ? [X0 : (($i > $o) > ($i > $o) > $i > $o),X1 : (($i > $o) > ($i > $o) > $i > $o)] : (! [X2 : ($i > $o),X5 : $i] : ((X0 @ X2 @ X2 @ X5) | (X1 @ X2 @ X2 @ X5)) & ! [X2 : ($i > $o),X3 : ($i > $o),X4 : ($i > $o)] : ((! [X5 : $i] : ((X0 @ X3 @ X4 @ X5) | (X1 @ X3 @ X4 @ X5)) & ! [X5 : $i] : ((X0 @ X2 @ X3 @ X5) | (X1 @ X2 @ X3 @ X5))) => ! [X5 : $i] : ((X0 @ X2 @ X4 @ X5) | (X1 @ X2 @ X4 @ X5))))),
% 0.07/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.25 thf(f3,plain,(
% 0.07/0.25 ~ ? [X0 : (($i > $o) > ($i > $o) > $i > $o),X1 : (($i > $o) > ($i > $o) > $i > $o)] : (! [X2 : ($i > $o),X3 : $i] : ((X0 @ X2 @ X2 @ X3) | (X1 @ X2 @ X2 @ X3)) & ! [X4 : ($i > $o),X5 : ($i > $o),X6 : ($i > $o)] : ((! [X7 : $i] : ((X0 @ X5 @ X6 @ X7) | (X1 @ X5 @ X6 @ X7)) & ! [X8 : $i] : ((X0 @ X4 @ X5 @ X8) | (X1 @ X4 @ X5 @ X8))) => ! [X9 : $i] : ((X0 @ X4 @ X6 @ X9) | (X1 @ X4 @ X6 @ X9))))),
% 0.07/0.25 inference(rectify,[],[f2])).
% 0.07/0.25 thf(f4,plain,(
% 0.07/0.25 ~ ? [X0 : (($i > $o) > ($i > $o) > $i > $o),X1 : (($i > $o) > ($i > $o) > $i > $o)] : (! [X2 : ($i > $o),X3 : $i] : ((((X0 @ X2 @ X2 @ X3)) = $true) | (((X1 @ X2 @ X2 @ X3)) = $true)) & ! [X4 : ($i > $o),X5 : ($i > $o),X6 : ($i > $o)] : ((! [X7 : $i] : ((((X0 @ X5 @ X6 @ X7)) = $true) | (((X1 @ X5 @ X6 @ X7)) = $true)) & ! [X8 : $i] : ((((X0 @ X4 @ X5 @ X8)) = $true) | (((X1 @ X4 @ X5 @ X8)) = $true))) => ! [X9 : $i] : ((((X0 @ X4 @ X6 @ X9)) = $true) | (((X1 @ X4 @ X6 @ X9)) = $true))))),
% 0.07/0.25 inference(fool_elimination,[],[f3])).
% 0.07/0.25 thf(f5,plain,(
% 0.07/0.25 ! [X0 : (($i > $o) > ($i > $o) > $i > $o),X1 : (($i > $o) > ($i > $o) > $i > $o)] : (? [X2 : ($i > $o),X3 : $i] : ((((X0 @ X2 @ X2 @ X3)) != $true) & (((X1 @ X2 @ X2 @ X3)) != $true)) | ? [X4 : ($i > $o),X5 : ($i > $o),X6 : ($i > $o)] : (? [X9 : $i] : ((((X0 @ X4 @ X6 @ X9)) != $true) & (((X1 @ X4 @ X6 @ X9)) != $true)) & (! [X7 : $i] : ((((X0 @ X5 @ X6 @ X7)) = $true) | (((X1 @ X5 @ X6 @ X7)) = $true)) & ! [X8 : $i] : ((((X0 @ X4 @ X5 @ X8)) = $true) | (((X1 @ X4 @ X5 @ X8)) = $true)))))),
% 0.07/0.25 inference(ennf_transformation,[],[f4])).
% 0.07/0.25 thf(f6,plain,(
% 0.07/0.25 ! [X0 : (($i > $o) > ($i > $o) > $i > $o),X1 : (($i > $o) > ($i > $o) > $i > $o)] : (? [X2 : ($i > $o),X3 : $i] : ((((X0 @ X2 @ X2 @ X3)) != $true) & (((X1 @ X2 @ X2 @ X3)) != $true)) | ? [X4 : ($i > $o),X5 : ($i > $o),X6 : ($i > $o)] : (? [X9 : $i] : ((((X0 @ X4 @ X6 @ X9)) != $true) & (((X1 @ X4 @ X6 @ X9)) != $true)) & ! [X7 : $i] : ((((X0 @ X5 @ X6 @ X7)) = $true) | (((X1 @ X5 @ X6 @ X7)) = $true)) & ! [X8 : $i] : ((((X0 @ X4 @ X5 @ X8)) = $true) | (((X1 @ X4 @ X5 @ X8)) = $true))))),
% 0.07/0.25 inference(flattening,[],[f5])).
% 0.07/0.25 thf(f7,plain,(
% 0.07/0.25 ! [X0 : (($i > $o) > ($i > $o) > $i > $o),X1 : (($i > $o) > ($i > $o) > $i > $o)] : (? [X2 : ($i > $o),X3 : $i] : ((((X0 @ X2 @ X2 @ X3)) != $true) & (((X1 @ X2 @ X2 @ X3)) != $true)) | ? [X4 : ($i > $o),X5 : ($i > $o),X6 : ($i > $o)] : (? [X7 : $i] : (($true != ((X0 @ X4 @ X6 @ X7))) & ($true != ((X1 @ X4 @ X6 @ X7)))) & ! [X8 : $i] : (($true = ((X0 @ X5 @ X6 @ X8))) | ($true = ((X1 @ X5 @ X6 @ X8)))) & ! [X9 : $i] : (($true = ((X0 @ X4 @ X5 @ X9))) | ($true = ((X1 @ X4 @ X5 @ X9))))))),
% 0.07/0.25 inference(rectify,[],[f6])).
% 0.07/0.25 thf(f8,plain,(
% 0.07/0.25 ! [X0 : (($i > $o) > ($i > $o) > $i > $o),X1 : (($i > $o) > ($i > $o) > $i > $o)] : ((($true != ((X0 @ (sK0 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ (sK1 @ X1 @ X0)))) & ($true != ((X1 @ (sK0 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ (sK1 @ X1 @ X0))))) | ((($true != ((X0 @ (sK2 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)))) & ($true != ((X1 @ (sK2 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0))))) & ! [X8 : $i] : (($true = ((X0 @ (sK3 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ X8))) | ($true = ((X1 @ (sK3 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ X8)))) & ! [X9 : $i] : (($true = ((X0 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0) @ X9))) | ($true = ((X1 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0) @ X9))))))),
% 0.07/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP,vAPP,vAPP]),skolemize(X7,sK5 @ X1 @ X0),skolemize(X7,sK5 @ X1 @ X0),skolemize(X7,sK5 @ X1 @ X0),skolemize(X7,sK5 @ X1 @ X0),skolemize(X7,sK5 @ X1 @ X0),skolemize(X7,sK5 @ X1 @ X0)],[f7])).
% 0.07/0.25 thf(f11,plain,(
% 0.07/0.25 ( ! [X0 : (($i > $o) > ($i > $o) > $i > $o),X1 : (($i > $o) > ($i > $o) > $i > $o)] : (($true != ((X1 @ (sK2 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)))) | ($true != ((X1 @ (sK0 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ (sK1 @ X1 @ X0))))) )),
% 0.07/0.25 inference(cnf_transformation,[],[f8])).
% 0.07/0.25 thf(f33,plain,(
% 0.07/0.25 ( ! [X0 : (($i > $o) > ($i > $o) > $i > $o)] : (($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($true)))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($true)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($true)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($true)))))) @ X0))))) )),
% 0.07/0.25 inference(equality_resolution,[],[f11])).
% 0.07/0.25 thf(f34,plain,(
% 0.07/0.25 ($true != $true)),
% 0.07/0.25 inference(beta-eta_normalization,[],[f33])).
% 0.07/0.25 thf(f35,plain,(
% 0.07/0.25 $false),
% 0.07/0.25 inference(trivial_inequality_removal,[],[f34])).
% 0.07/0.25 % SZS output end Proof for theBenchmark
% 0.07/0.25 % (2231636)------------------------------
% 0.07/0.25 % (2231636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (2231636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (2231636)CaDiCaL version: 2.1.3
% 0.07/0.25 % (2231636)Termination reason: Refutation
% 0.07/0.25 % (2231636)Time elapsed: 0.002 s
% 0.07/0.25 % (2231636)Peak memory usage: 12 MB
% 0.07/0.25 % (2231636)Instructions burned: 6 (million)
% 0.07/0.25 % (2231618)Success in time 0.034 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------