%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU844^5 : 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 : n016.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 08:34:16 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU844^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n016.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 14:44:35 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.26 % (439690)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (439700)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1946737405:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (439700) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-439690-439700"...
% 0.09/0.26 % (439696)% WARNING: option uhcvi not known.
% 0.09/0.26 % (439700)...printing done.
% 0.09/0.26 % (439700)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% 0.09/0.26 thf(type_def_5, type, a: $tType).
% 0.09/0.26 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.26 thf(func_def_0, type, cS: (a > $o)).
% 0.09/0.26 thf(func_def_1, type, cT: (a > $o)).
% 0.09/0.26 thf(func_def_5, type, sK0: a).
% 0.09/0.26 thf(func_def_6, type, sK1: a).
% 0.09/0.26 thf(func_def_8, type, db0: !>[X0: $tType]:(X0)).
% 0.09/0.26 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.09/0.26 thf(f1,conjecture,(
% 0.09/0.26 ! [X0 : (a > $o),X1 : (a > $o)] : (X0 = X1) => (! [X2 : a] : ((cT @ X2) => (cS @ X2)) & ! [X2 : a] : ((cS @ X2) => (cT @ X2)))),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cGAZING_THM8_pme)).
% 0.09/0.26 thf(f2,negated_conjecture,(
% 0.09/0.26 ~(! [X0 : (a > $o),X1 : (a > $o)] : (X0 = X1) => (! [X2 : a] : ((cT @ X2) => (cS @ X2)) & ! [X2 : a] : ((cS @ X2) => (cT @ X2))))),
% 0.09/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.26 thf(f3,plain,(
% 0.09/0.26 ~(! [X0 : (a > $o),X1 : (a > $o)] : (X0 = X1) => (! [X2 : a] : ((cT @ X2) => (cS @ X2)) & ! [X3 : a] : ((cS @ X3) => (cT @ X3))))),
% 0.09/0.26 inference(rectify,[],[f2])).
% 0.09/0.26 thf(f4,plain,(
% 0.09/0.26 ~(! [X0 : (a > $o),X1 : (a > $o)] : (X0 = X1) => (! [X2 : a] : ((((cT @ X2)) = $true) => (((cS @ X2)) = $true)) & ! [X3 : a] : ((((cS @ X3)) = $true) => (((cT @ X3)) = $true))))),
% 0.09/0.26 inference(fool_elimination,[],[f3])).
% 0.09/0.26 thf(f5,plain,(
% 0.09/0.26 (? [X2 : a] : ((((cS @ X2)) != $true) & (((cT @ X2)) = $true)) | ? [X3 : a] : ((((cT @ X3)) != $true) & (((cS @ X3)) = $true))) & ! [X0 : (a > $o),X1 : (a > $o)] : (X0 = X1)),
% 0.09/0.26 inference(ennf_transformation,[],[f4])).
% 0.09/0.26 thf(f6,plain,(
% 0.09/0.26 (? [X0 : a] : (($true != ((cS @ X0))) & ($true = ((cT @ X0)))) | ? [X1 : a] : (($true != ((cT @ X1))) & ($true = ((cS @ X1))))) & ! [X2 : (a > $o),X3 : (a > $o)] : (X2 = X3)),
% 0.09/0.26 inference(rectify,[],[f5])).
% 0.09/0.26 thf(f7,plain,(
% 0.09/0.26 ((($true != ((cS @ sK0))) & ($true = ((cT @ sK0)))) | (($true != ((cT @ sK1))) & ($true = ((cS @ sK1))))) & ! [X2 : (a > $o),X3 : (a > $o)] : (X2 = X3)),
% 0.09/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f6])).
% 0.09/0.26 thf(f8,plain,(
% 0.09/0.26 ( ! [X2 : (a > $o),X3 : (a > $o)] : ((X2 = X3)) )),
% 0.09/0.26 inference(cnf_transformation,[],[f7])).
% 0.09/0.26 thf(f12,plain,(
% 0.09/0.26 ($true != ((cS @ sK0))) | ($true != ((cT @ sK1)))),
% 0.09/0.26 inference(cnf_transformation,[],[f7])).
% 0.09/0.26 thf(f13,definition,(
% 0.09/0.26 ($true != $false)),
% 0.09/0.26 introduced(theory,[fool_distinctness_axiom])).
% 0.09/0.26 thf(f25,definition,(
% 0.09/0.26 spl2_3 <=> ($true = ((cT @ sK1)))),
% 0.09/0.26 introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition])).
% 0.09/0.26 thf(f27,plain,(
% 0.09/0.26 ($true != ((cT @ sK1))) | spl2_3),
% 0.09/0.26 inference(avatar_component_clause,[],[f25])).
% 0.09/0.26 thf(f30,definition,(
% 0.09/0.26 spl2_4 <=> ($true = ((cS @ sK0)))),
% 0.09/0.26 introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition])).
% 0.21/0.26 thf(f32,plain,(
% 0.21/0.26 ($true != ((cS @ sK0))) | spl2_4),
% 0.21/0.26 inference(avatar_component_clause,[],[f30])).
% 0.21/0.26 thf(f34,plain,(
% 0.21/0.26 ~spl2_3 | ~spl2_4),
% 0.21/0.26 inference(avatar_split_clause,[],[f12,f30,f25])).
% 0.21/0.26 thf(f35,plain,(
% 0.21/0.26 ( ! [X2 : (a > $o),X3 : (a > $o),X4 : a] : ((((X2 @ X4)) = ((X3 @ X4)))) )),
% 0.21/0.26 inference(argument_congruence,[],[f8])).
% 0.21/0.26 thf(f37,plain,(
% 0.21/0.26 ( ! [X2 : (a > $o),X3 : (a > $o),X4 : a] : (($false = ((X2 @ X4))) | ($true = ((X3 @ X4)))) )),
% 0.21/0.26 inference(iff_proxy_clausification,[],[f35])).
% 0.21/0.26 thf(f46,plain,(
% 0.21/0.26 ( ! [X0 : a,X1 : (a > $o)] : (($false != $false) | ($true = ((X1 @ X0)))) )),
% 0.21/0.26 inference(constrained_superposition,[],[f13,f37])).
% 0.21/0.26 thf(f48,plain,(
% 0.21/0.26 ( ! [X0 : a,X1 : (a > $o)] : (($true != $true) | ($false = ((X1 @ X0)))) ) | spl2_4),
% 0.21/0.26 inference(constrained_superposition,[],[f32,f37])).
% 0.21/0.26 thf(f59,plain,(
% 0.21/0.26 ( ! [X0 : a,X1 : (a > $o)] : (($false = ((X1 @ X0)))) ) | spl2_4),
% 0.21/0.26 inference(trivial_inequality_removal,[],[f48])).
% 0.21/0.26 thf(f61,plain,(
% 0.21/0.26 ( ! [X0 : a,X1 : (a > $o)] : (($true = ((X1 @ X0)))) )),
% 0.21/0.26 inference(trivial_inequality_removal,[],[f46])).
% 0.21/0.26 thf(f76,plain,(
% 0.21/0.26 ($true = $false) | spl2_4),
% 0.21/0.26 inference(forward_demodulation,[],[f61,f59])).
% 0.21/0.26 thf(f77,plain,(
% 0.21/0.26 $false | spl2_4),
% 0.21/0.26 inference(trivial_inequality_removal,[],[f76])).
% 0.21/0.26 thf(f78,plain,(
% 0.21/0.26 spl2_4),
% 0.21/0.26 inference(avatar_contradiction_clause,[],[f77])).
% 0.21/0.26 thf(f120,plain,(
% 0.21/0.26 ($true != $true) | spl2_3),
% 0.21/0.26 inference(constrained_superposition,[],[f27,f61])).
% 0.21/0.26 thf(f121,plain,(
% 0.21/0.26 $false | spl2_3),
% 0.21/0.26 inference(trivial_inequality_removal,[],[f120])).
% 0.21/0.26 thf(f122,plain,(
% 0.21/0.26 spl2_3),
% 0.21/0.26 inference(avatar_contradiction_clause,[],[f121])).
% 0.21/0.26 cnf(s4, plain, ~spl2_3 | ~spl2_4, inference(sat_conversion,[],[f34])).
% 0.21/0.26 cnf(s5, plain, spl2_4, inference(sat_conversion,[],[f78])).
% 0.21/0.26 cnf(s8, plain, spl2_3, inference(sat_conversion,[],[f122])).
% 0.21/0.26 cnf(s9, plain, $false, inference(rat,[],[s4,s5,s8])).
% 0.21/0.26 thf(f132,plain,(
% 0.21/0.26 $false),
% 0.21/0.26 inference(avatar_sat_refutation,[],[s9])).
% 0.21/0.26 % SZS output end Proof for theBenchmark
% 0.21/0.26 % (439700)------------------------------
% 0.21/0.26 % (439700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26 % (439700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26 % (439700)CaDiCaL version: 2.1.3
% 0.21/0.26 % (439700)Termination reason: Refutation
% 0.21/0.26 % (439700)Time elapsed: 0.003 s
% 0.21/0.26 % (439700)Peak memory usage: 12 MB
% 0.21/0.26 % (439700)Instructions burned: 6 (million)
% 0.21/0.26 % (439690)Success in time 0.035 s
% 0.21/0.26 % Vampire exiting
%------------------------------------------------------------------------------