%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN992^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 08:42:06 AM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN992^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 16:20:17 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.23 % (285828)Will run a generic schedule for satisfiability detection.
% 0.09/0.23 % (285838)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2629055016:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.09/0.23 % (285838) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-285828-285838"...
% 0.09/0.23 % (285838)...printing done.
% 0.09/0.23 % (285838)Refutation found. Thanks to Tanya!
% 0.09/0.23 % SZS status Theorem for theBenchmark
% 0.09/0.23 % SZS output start Proof for theBenchmark
% 0.09/0.23 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.23 thf(func_def_0, type, refl: (($i > $i > $o) > $o)).
% 0.09/0.23 thf(func_def_2, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.09/0.23 thf(func_def_3, type, db1: !>[X0: $tType]:(X0)).
% 0.09/0.23 thf(func_def_4, type, db0: !>[X0: $tType]:(X0)).
% 0.09/0.23 thf(func_def_5, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.09/0.23 thf(func_def_8, type, vNOT: ($o > $o)).
% 0.09/0.23 thf(func_def_9, type, sK0: (($i > $i > $o) > $i)).
% 0.09/0.23 thf(func_def_10, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.09/0.23 thf(f1,axiom,(
% 0.09/0.23 (refl = (^[X0 : ($i > $i > $o)] : (! [X1 : $i] : (X0 @ X1 @ X1))))),
% 0.09/0.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl)).
% 0.09/0.23 thf(f2,conjecture,(
% 0.09/0.23 ? [X0 : ($i > $i > $o)] : (refl @ X0)),
% 0.09/0.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.09/0.23 thf(f3,negated_conjecture,(
% 0.09/0.23 ~ ? [X0 : ($i > $i > $o)] : (refl @ X0)),
% 0.09/0.23 inference(negated_conjecture,[status(cth)],[f2])).
% 0.09/0.23 thf(f4,plain,(
% 0.09/0.23 (refl = (^[X0 : ($i > $i > $o)] : (! [X1 : $i] : (X0 @ X1 @ X1))))),
% 0.09/0.23 inference(rectify,[],[f1])).
% 0.09/0.23 thf(f5,plain,(
% 0.09/0.23 (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.09/0.23 inference(fool_elimination,[],[f4])).
% 0.09/0.23 thf(f6,plain,(
% 0.09/0.23 ~ ? [X0 : ($i > $i > $o)] : (refl @ X0)),
% 0.09/0.23 inference(rectify,[],[f3])).
% 0.09/0.23 thf(f7,plain,(
% 0.09/0.23 ~ ? [X0 : ($i > $i > $o)] : (((refl @ X0)) = $true)),
% 0.09/0.23 inference(fool_elimination,[],[f6])).
% 0.09/0.23 thf(f8,plain,(
% 0.09/0.23 ! [X0 : ($i > $i > $o)] : (((refl @ X0)) != $true)),
% 0.09/0.23 inference(ennf_transformation,[],[f7])).
% 0.09/0.23 thf(f9,plain,(
% 0.09/0.23 (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.09/0.23 inference(cnf_transformation,[],[f5])).
% 0.09/0.23 thf(f10,plain,(
% 0.09/0.23 ( ! [X0 : ($i > $i > $o)] : ((((refl @ X0)) != $true)) )),
% 0.09/0.23 inference(cnf_transformation,[],[f8])).
% 0.09/0.23 thf(f11,definition,(
% 0.09/0.23 ($true != $false)),
% 0.09/0.23 introduced(theory,[fool_distinctness_axiom])).
% 0.09/0.23 thf(f13,plain,(
% 0.09/0.23 ( ! [X0 : ($i > $i > $o)] : (($true != (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ X0)))) )),
% 0.09/0.23 inference(definition_unfolding,[],[f10,f9])).
% 0.09/0.23 thf(f14,plain,(
% 0.09/0.23 ( ! [X0 : ($i > $i > $o)] : (($true != ((!! @ $i @ (^[Y0 : $i]: (X0 @ Y0 @ Y0)))))) )),
% 0.09/0.23 inference(beta-eta_normalization,[],[f13])).
% 0.09/0.23 thf(f15,plain,(
% 0.09/0.23 ( ! [X0 : ($i > $i > $o)] : (($false = (((^[Y0 : $i]: (X0 @ Y0 @ Y0)) @ (sK0 @ X0))))) )),
% 0.09/0.23 inference(sigma_proxy_clausification,[],[f14])).
% 0.09/0.23 thf(f16,plain,(
% 0.09/0.23 ( ! [X0 : ($i > $i > $o)] : (($false = ((X0 @ (sK0 @ X0) @ (sK0 @ X0))))) )),
% 0.09/0.23 inference(beta-eta_normalization,[],[f15])).
% 0.09/0.23 thf(f22,plain,(
% 0.09/0.23 ($false != $false)),
% 0.09/0.23 inference(constrained_superposition,[],[f11,f16])).
% 0.09/0.23 thf(f23,plain,(
% 0.09/0.23 $false),
% 0.09/0.23 inference(trivial_inequality_removal,[],[f22])).
% 0.09/0.23 % SZS output end Proof for theBenchmark
% 0.09/0.23 % (285838)------------------------------
% 0.09/0.23 % (285838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23 % (285838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23 % (285838)CaDiCaL version: 2.1.3
% 0.09/0.23 % (285838)Termination reason: Refutation
% 0.09/0.23 % (285838)Time elapsed: 0.001 s
% 0.09/0.23 % (285838)Peak memory usage: 12 MB
% 0.09/0.23 % (285838)Instructions burned: 1 (million)
% 0.09/0.23 % (285828)Success in time 0.016 s
% 0.09/0.23 % Vampire exiting
%------------------------------------------------------------------------------