%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU908^5 : 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 08:34:23 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU908^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % 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 14:49:49 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
% 0.20/0.27 % (445892)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (445897)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=421720344_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % Exception at run slice level
% 0.20/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.27 % (445898)% WARNING: option uhcvi not known.
% 0.20/0.27 % (445899)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1837216049:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (445898)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2909589534:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (445900)dis+10_1_sil=32000:sp=arity:random_seed=1072739756:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (445901)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1516340131:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (445898)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.27 % (445901)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.27 % (445898)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.27 % (445900) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-445892-445900"...
% 0.20/0.27 % (445898) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-445892-445898"...
% 0.20/0.27 % (445901) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-445892-445901"...
% 0.20/0.27 % (445899) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-445892-445899"...
% 0.20/0.27 % (445905)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4130193602:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.27 % Exception at run slice level
% 0.20/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.27 % (445900)...printing done.
% 0.20/0.27 % (445898)...printing done.
% 0.20/0.27 % (445899)...printing done.
% 0.20/0.27 % (445901)...printing done.
% 0.20/0.27 % (445898)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% 0.20/0.27 thf(type_def_5, type, a: $tType).
% 0.20/0.27 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.27 thf(func_def_0, type, f: (a > a)).
% 0.20/0.27 thf(func_def_4, type, sK0: a).
% 0.20/0.27 thf(func_def_5, type, sK1: (a > $o)).
% 0.20/0.27 thf(func_def_6, type, sK2: ((a > $o) > a)).
% 0.20/0.27 thf(func_def_7, type, vNOT: ($o > $o)).
% 0.20/0.27 thf(func_def_8, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.27 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.27 thf(f1,conjecture,(
% 0.20/0.27 ! [X0 : a] : (! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ X0)) => ! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ (f @ X0))))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM527_pme)).
% 0.20/0.27 thf(f2,negated_conjecture,(
% 0.20/0.27 ~ ! [X0 : a] : (! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ X0)) => ! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ (f @ X0))))),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.27 thf(f3,plain,(
% 0.20/0.27 ~ ! [X0 : a] : (! [X1 : (a > $o)] : (! [X2 : a] : ((X1 @ X2) => (X1 @ (f @ X2))) => (X1 @ X0)) => ! [X3 : (a > $o)] : (! [X4 : a] : ((X3 @ X4) => (X3 @ (f @ X4))) => (X3 @ (f @ X0))))),
% 0.20/0.27 inference(rectify,[],[f2])).
% 0.20/0.27 thf(f4,plain,(
% 0.20/0.27 ~ ! [X0 : a] : (! [X1 : (a > $o)] : (! [X2 : a] : ((((X1 @ X2)) = $true) => (((X1 @ (f @ X2))) = $true)) => (((X1 @ X0)) = $true)) => ! [X3 : (a > $o)] : (! [X4 : a] : ((((X3 @ X4)) = $true) => (((X3 @ (f @ X4))) = $true)) => (((X3 @ (f @ X0))) = $true)))),
% 0.20/0.27 inference(fool_elimination,[],[f3])).
% 0.20/0.27 thf(f5,plain,(
% 0.20/0.27 ? [X0 : a] : (? [X3 : (a > $o)] : ((((X3 @ (f @ X0))) != $true) & ! [X4 : a] : ((((X3 @ (f @ X4))) = $true) | (((X3 @ X4)) != $true))) & ! [X1 : (a > $o)] : ((((X1 @ X0)) = $true) | ? [X2 : a] : ((((X1 @ (f @ X2))) != $true) & (((X1 @ X2)) = $true))))),
% 0.20/0.27 inference(ennf_transformation,[],[f4])).
% 0.20/0.27 thf(f6,plain,(
% 0.20/0.27 ? [X0 : a] : (? [X1 : (a > $o)] : ((((X1 @ (f @ X0))) != $true) & ! [X2 : a] : ((((X1 @ (f @ X2))) = $true) | (((X1 @ X2)) != $true))) & ! [X3 : (a > $o)] : (($true = ((X3 @ X0))) | ? [X4 : a] : ((((X3 @ (f @ X4))) != $true) & (((X3 @ X4)) = $true))))),
% 0.20/0.27 inference(rectify,[],[f5])).
% 0.20/0.27 thf(f7,plain,(
% 0.20/0.27 (($true != ((sK1 @ (f @ sK0)))) & ! [X2 : a] : (($true = ((sK1 @ (f @ X2)))) | ($true != ((sK1 @ X2))))) & ! [X3 : (a > $o)] : (($true = ((X3 @ sK0))) | (($true != ((X3 @ (f @ (sK2 @ X3))))) & ($true = ((X3 @ (sK2 @ X3))))))),
% 0.20/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X4,sK2 @ X3)],[f6])).
% 0.20/0.27 thf(f8,plain,(
% 0.20/0.27 ( ! [X3 : (a > $o)] : (($true = ((X3 @ (sK2 @ X3)))) | ($true = ((X3 @ sK0)))) )),
% 0.20/0.27 inference(cnf_transformation,[],[f7])).
% 0.20/0.27 thf(f15,plain,(
% 0.20/0.27 ($true = (((^[Y0 : a]: ($false)) @ (sK2 @ (^[Y0 : a]: ($false)))))) | ($true = (((^[Y0 : a]: ($false)) @ sK0)))),
% 0.20/0.27 inference(primitive_instantiation,[],[f8])).
% 0.20/0.27 thf(f33,plain,(
% 0.20/0.27 ($true = $false) | ($true = $false)),
% 0.20/0.27 inference(beta-eta_normalization,[],[f15])).
% 0.20/0.27 thf(f34,plain,(
% 0.20/0.27 ($true = $false)),
% 0.20/0.27 inference(duplicate_literal_removal,[],[f33])).
% 0.20/0.27 thf(f35,plain,(
% 0.20/0.27 $false),
% 0.20/0.27 inference(trivial_inequality_removal,[],[f34])).
% 0.20/0.27 % SZS output end Proof for theBenchmark
% 0.20/0.27 % (445898)------------------------------
% 0.20/0.27 % (445898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (445898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (445898)CaDiCaL version: 2.1.3
% 0.20/0.27 % (445898)Termination reason: Refutation
% 0.20/0.27 % (445898)Time elapsed: 0.003 s
% 0.20/0.27 % (445898)Peak memory usage: 12 MB
% 0.20/0.27 % (445898)Instructions burned: 2 (million)
% 0.20/0.27 % (445892)Success in time 0.046 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------