%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV427^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 08:39:29 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 : SEV427^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n011.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
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 15:46:56 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.25 % (247893)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (247899)% WARNING: option uhcvi not known.
% 0.07/0.25 % (247899)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2189747225:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (247899)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.25 % (247899)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.07/0.25 % (247900)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2923722512:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (247898)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=358193967_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.25 % (247901)dis+10_1_sil=32000:sp=arity:random_seed=3146689819:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (247902)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2939367247:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % Exception at run slice level
% 0.07/0.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.07/0.25 % (247899) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-247893-247899"...
% 0.07/0.25 % (247902)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.25 % (247899)...printing done.
% 0.07/0.25 % (247899)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) > $tType).
% 0.07/0.25 thf(func_def_0, type, eps: (($i > $o) > $i)).
% 0.07/0.25 thf(func_def_2, type, p: ($i > $o)).
% 0.07/0.25 thf(func_def_3, type, q: ($i > $o)).
% 0.07/0.25 thf(func_def_6, type, vNOT: ($o > $o)).
% 0.07/0.25 thf(func_def_7, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.07/0.25 thf(func_def_8, type, db0: !>[X0: $tType]:(X0)).
% 0.07/0.25 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.07/0.25 thf(func_def_11, type, db1: !>[X0: $tType]:(X0)).
% 0.07/0.25 thf(f1,axiom,(
% 0.07/0.25 ! [X0 : ($i > $o)] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 0.07/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceax)).
% 0.07/0.25 thf(f2,axiom,(
% 0.07/0.25 ! [X0 : $i] : ((q @ X0) | (p @ X0))),
% 0.07/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pq)).
% 0.07/0.25 thf(f3,conjecture,(
% 0.07/0.25 (q @ (eps @ q)) | (p @ (eps @ p))),
% 0.07/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.07/0.25 thf(f4,negated_conjecture,(
% 0.07/0.25 ~((q @ (eps @ q)) | (p @ (eps @ p)))),
% 0.07/0.25 inference(negated_conjecture,[status(cth)],[f3])).
% 0.07/0.25 thf(f5,plain,(
% 0.07/0.25 ! [X0 : ($i > $o)] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 0.07/0.25 inference(rectify,[],[f1])).
% 0.07/0.25 thf(f6,plain,(
% 0.07/0.25 ! [X0 : ($i > $o)] : (? [X1 : $i] : (((X0 @ X1)) = $true) => (((X0 @ (eps @ X0))) = $true))),
% 0.07/0.25 inference(fool_elimination,[],[f5])).
% 0.07/0.25 thf(f7,plain,(
% 0.07/0.25 ! [X0 : $i] : ((q @ X0) | (p @ X0))),
% 0.07/0.25 inference(rectify,[],[f2])).
% 0.07/0.25 thf(f8,plain,(
% 0.07/0.25 ! [X0 : $i] : ((((q @ X0)) = $true) | (((p @ X0)) = $true))),
% 0.07/0.25 inference(fool_elimination,[],[f7])).
% 0.07/0.25 thf(f9,plain,(
% 0.07/0.25 ~((q @ (eps @ q)) | (p @ (eps @ p)))),
% 0.07/0.25 inference(rectify,[],[f4])).
% 0.07/0.25 thf(f10,plain,(
% 0.07/0.25 ~((((q @ (eps @ q))) = $true) | (((p @ (eps @ p))) = $true))),
% 0.07/0.25 inference(fool_elimination,[],[f9])).
% 0.07/0.25 thf(f11,plain,(
% 0.07/0.25 ! [X0 : ($i > $o)] : ((((X0 @ (eps @ X0))) = $true) | ! [X1 : $i] : (((X0 @ X1)) != $true))),
% 0.07/0.25 inference(ennf_transformation,[],[f6])).
% 0.07/0.25 thf(f12,plain,(
% 0.07/0.25 (((q @ (eps @ q))) != $true) & (((p @ (eps @ p))) != $true)),
% 0.07/0.25 inference(ennf_transformation,[],[f10])).
% 0.07/0.25 thf(f13,plain,(
% 0.07/0.25 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ X1)) != $true) | (((X0 @ (eps @ X0))) = $true)) )),
% 0.07/0.25 inference(cnf_transformation,[],[f11])).
% 0.07/0.25 thf(f14,plain,(
% 0.07/0.25 ( ! [X0 : $i] : ((((q @ X0)) = $true) | (((p @ X0)) = $true)) )),
% 0.07/0.25 inference(cnf_transformation,[],[f8])).
% 0.07/0.25 thf(f15,plain,(
% 0.07/0.25 (((p @ (eps @ p))) != $true)),
% 0.07/0.25 inference(cnf_transformation,[],[f12])).
% 0.07/0.25 thf(f16,plain,(
% 0.07/0.25 (((q @ (eps @ q))) != $true)),
% 0.07/0.25 inference(cnf_transformation,[],[f12])).
% 0.07/0.25 thf(f18,definition,(
% 0.07/0.25 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.07/0.25 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.07/0.25 thf(f30,plain,(
% 0.07/0.25 ($true != $true) | ($true = ((p @ (eps @ q))))),
% 0.07/0.25 inference(constrained_superposition,[],[f16,f14])).
% 0.07/0.25 thf(f31,plain,(
% 0.07/0.25 ($true = ((p @ (eps @ q))))),
% 0.07/0.25 inference(trivial_inequality_removal,[],[f30])).
% 0.07/0.25 thf(f44,plain,(
% 0.07/0.25 ( ! [X0 : ($i > $o),X1 : $i] : (($true != $true) | (((X0 @ (eps @ X0))) = $true) | (((X0 @ X1)) = $false)) )),
% 0.07/0.25 inference(constrained_superposition,[],[f13,f18])).
% 0.07/0.25 thf(f54,plain,(
% 0.07/0.25 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ (eps @ X0))) = $true) | (((X0 @ X1)) = $false)) )),
% 0.07/0.25 inference(trivial_inequality_removal,[],[f44])).
% 0.07/0.25 thf(f97,plain,(
% 0.07/0.25 ( ! [X0 : $i] : (($true != $true) | ($false = (((^[Y0 : $i]: (p @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X0)))) )),
% 0.07/0.25 inference(constrained_superposition,[],[f15,f54])).
% 0.07/0.25 thf(f154,plain,(
% 0.07/0.25 ( ! [X0 : $i] : (($false = (((^[Y0 : $i]: (p @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X0)))) )),
% 0.07/0.25 inference(trivial_inequality_removal,[],[f97])).
% 0.07/0.25 thf(f155,plain,(
% 0.07/0.25 ( ! [X0 : $i] : ((((p @ X0)) = $false)) )),
% 0.07/0.25 inference(beta-eta_normalization,[],[f154])).
% 0.07/0.25 thf(f444,plain,(
% 0.07/0.25 ($true = $false)),
% 0.07/0.25 inference(constrained_superposition,[],[f31,f155])).
% 0.07/0.25 thf(f455,plain,(
% 0.07/0.25 $false),
% 0.07/0.25 inference(trivial_inequality_removal,[],[f444])).
% 0.07/0.25 % SZS output end Proof for theBenchmark
% 0.07/0.25 % (247899)------------------------------
% 0.07/0.25 % (247899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (247899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (247899)CaDiCaL version: 2.1.3
% 0.07/0.25 % (247899)Termination reason: Refutation
% 0.07/0.25 % (247899)Time elapsed: 0.008 s
% 0.07/0.25 % (247899)Peak memory usage: 12 MB
% 0.07/0.25 % (247899)Instructions burned: 28 (million)
% 0.07/0.25 % (247893)Success in time 0.038 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------