%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV408^5 : 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 : n020.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 08:39:28 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV408^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 15:46:05 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (1206177)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (1206193)dis+10_1_sil=32000:sp=arity:random_seed=1191061775:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (1206193) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1206177-1206193"...
% 0.08/0.25 % (1206193)...printing done.
% 0.08/0.25 % (1206193)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% 0.08/0.25 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.25 thf(func_def_0, type, cF: (($i > $o) > $o)).
% 0.08/0.25 thf(func_def_4, type, sK0: ((($i > $o) > $o) > $i > $o)).
% 0.08/0.25 thf(func_def_5, type, sK1: (($i > $o) > (($i > $o) > $o) > $i)).
% 0.08/0.25 thf(func_def_6, type, vNOT: ($o > $o)).
% 0.08/0.25 thf(func_def_7, type, db0: !>[X0: $tType]:(X0)).
% 0.08/0.25 thf(func_def_8, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.08/0.25 thf(f1,conjecture,(
% 0.08/0.25 ? [X0 : (($i > $o) > $o)] : ! [X1 : ($i > $o)] : ((X0 @ X1) => ? [X2 : ($i > $o)] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) & (cF @ X2)))),
% 0.08/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBLEDSOE2_pme)).
% 0.08/0.25 thf(f2,negated_conjecture,(
% 0.08/0.25 ~ ? [X0 : (($i > $o) > $o)] : ! [X1 : ($i > $o)] : ((X0 @ X1) => ? [X2 : ($i > $o)] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) & (cF @ X2)))),
% 0.08/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.25 thf(f3,plain,(
% 0.08/0.25 ~ ? [X0 : (($i > $o) > $o)] : ! [X1 : ($i > $o)] : ((X0 @ X1) => ? [X2 : ($i > $o)] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) & (cF @ X2)))),
% 0.08/0.25 inference(rectify,[],[f2])).
% 0.08/0.25 thf(f4,plain,(
% 0.08/0.25 ~ ? [X0 : (($i > $o) > $o)] : ! [X1 : ($i > $o)] : ((((X0 @ X1)) = $true) => ? [X2 : ($i > $o)] : (! [X3 : $i] : ((((X1 @ X3)) = $true) => (((X2 @ X3)) = $true)) & (((cF @ X2)) = $true)))),
% 0.08/0.25 inference(fool_elimination,[],[f3])).
% 0.08/0.25 thf(f5,plain,(
% 0.08/0.25 ! [X0 : (($i > $o) > $o)] : ? [X1 : ($i > $o)] : (! [X2 : ($i > $o)] : (? [X3 : $i] : ((((X2 @ X3)) != $true) & (((X1 @ X3)) = $true)) | (((cF @ X2)) != $true)) & (((X0 @ X1)) = $true))),
% 0.08/0.25 inference(ennf_transformation,[],[f4])).
% 0.08/0.25 thf(f6,plain,(
% 0.08/0.25 ! [X0 : (($i > $o) > $o)] : (! [X2 : ($i > $o)] : ((($true != ((X2 @ (sK1 @ X2 @ X0)))) & ($true = ((sK0 @ X0 @ (sK1 @ X2 @ X0))))) | (((cF @ X2)) != $true)) & ($true = ((X0 @ (sK0 @ X0)))))),
% 0.08/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK1 @ X2 @ X0),skolemize(X3,sK1 @ X2 @ X0)],[f5])).
% 0.08/0.25 thf(f7,plain,(
% 0.08/0.25 ( ! [X0 : (($i > $o) > $o)] : (($true = ((X0 @ (sK0 @ X0))))) )),
% 0.08/0.25 inference(cnf_transformation,[],[f6])).
% 0.08/0.25 thf(f13,plain,(
% 0.08/0.25 ($true = (((^[Y0 : $i > $o]: ($false)) @ (sK0 @ (^[Y0 : $i > $o]: ($false))))))),
% 0.08/0.25 inference(primitive_instantiation,[],[f7])).
% 0.08/0.25 thf(f17,plain,(
% 0.08/0.25 ($true = $false)),
% 0.08/0.25 inference(beta-eta_normalization,[],[f13])).
% 0.08/0.25 thf(f18,plain,(
% 0.08/0.25 $false),
% 0.08/0.25 inference(trivial_inequality_removal,[],[f17])).
% 0.08/0.25 % SZS output end Proof for theBenchmark
% 0.08/0.25 % (1206193)------------------------------
% 0.08/0.25 % (1206193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (1206193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (1206193)CaDiCaL version: 2.1.3
% 0.08/0.25 % (1206193)Termination reason: Refutation
% 0.08/0.25 % (1206193)Time elapsed: 0.001 s
% 0.08/0.25 % (1206193)Peak memory usage: 12 MB
% 0.08/0.25 % (1206193)Instructions burned: 1 (million)
% 0.08/0.25 % (1206177)Success in time 0.03 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------