%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV409^5 : 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 : n009.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 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV409^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n009.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 15:45:40 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.20/0.28 % (4166654)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (4166659)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3225322101_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % Exception at run slice level
% 0.20/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.28 % (4166660)% WARNING: option uhcvi not known.
% 0.20/0.28 % (4166660)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2057197520:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (4166661)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1122585023:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (4166662)dis+10_1_sil=32000:sp=arity:random_seed=1184117702:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (4166663)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1546694157:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (4166660)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.28 % (4166664)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3847846155:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (4166660)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.28 % (4166665)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4124528292:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (4166663)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.28 % (4166660) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4166654-4166660"...
% 0.20/0.28 % (4166662) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4166654-4166662"...
% 0.20/0.28 % (4166661) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4166654-4166661"...
% 0.20/0.28 % (4166663) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4166654-4166663"...
% 0.20/0.28 % (4166664) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4166654-4166664"...
% 0.20/0.28 % (4166667)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=455442874:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.28 % (4166665) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4166654-4166665"...
% 0.20/0.28 % Exception at run slice level
% 0.20/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.28 % (4166660)...printing done.
% 0.20/0.28 % (4166662)...printing done.
% 0.20/0.28 % (4166661)...printing done.
% 0.20/0.28 % (4166663)...printing done.
% 0.20/0.28 % (4166664)...printing done.
% 0.20/0.28 % (4166665)...printing done.
% 0.20/0.28 % (4166660)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% 0.20/0.28 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.28 thf(func_def_3, type, sK0: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.20/0.28 thf(func_def_4, type, sK1: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
% 0.20/0.28 thf(func_def_5, type, sK2: ((($i > $o) > ($i > $o) > $o) > $i)).
% 0.20/0.28 thf(func_def_6, type, vNOT: ($o > $o)).
% 0.20/0.28 thf(func_def_7, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.28 thf(func_def_8, type, db1: !>[X0: $tType]:(X0)).
% 0.20/0.28 thf(func_def_9, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.20/0.28 thf(func_def_10, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.28 thf(f1,conjecture,(
% 0.20/0.28 ? [X0 : (($i > $o) > ($i > $o) > $o)] : ! [X1 : ($i > $o),X2 : ($i > $o)] : (((X0 @ X2 @ X1) & (X0 @ X1 @ X2)) => ! [X3 : $i] : ((X1 @ X3) <=> (X2 @ X3)))),
% 0.20/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM120_BUG_pme)).
% 0.20/0.28 thf(f2,negated_conjecture,(
% 0.20/0.28 ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : ! [X1 : ($i > $o),X2 : ($i > $o)] : (((X0 @ X2 @ X1) & (X0 @ X1 @ X2)) => ! [X3 : $i] : ((X1 @ X3) <=> (X2 @ X3)))),
% 0.20/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.28 thf(f3,plain,(
% 0.20/0.28 ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : ! [X1 : ($i > $o),X2 : ($i > $o)] : (((X0 @ X2 @ X1) & (X0 @ X1 @ X2)) => ! [X3 : $i] : ((X1 @ X3) <=> (X2 @ X3)))),
% 0.20/0.28 inference(rectify,[],[f2])).
% 0.20/0.28 thf(f4,plain,(
% 0.20/0.28 ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : ! [X1 : ($i > $o),X2 : ($i > $o)] : (((((X0 @ X2 @ X1)) = $true) & (((X0 @ X1 @ X2)) = $true)) => ! [X3 : $i] : (((X1 @ X3)) = ((X2 @ X3))))),
% 0.20/0.28 inference(fool_elimination,[],[f3])).
% 0.20/0.28 thf(f5,plain,(
% 0.20/0.28 ! [X0 : (($i > $o) > ($i > $o) > $o)] : ? [X1 : ($i > $o),X2 : ($i > $o)] : (? [X3 : $i] : (((X1 @ X3)) != ((X2 @ X3))) & ((((X0 @ X2 @ X1)) = $true) & (((X0 @ X1 @ X2)) = $true)))),
% 0.20/0.28 inference(ennf_transformation,[],[f4])).
% 0.20/0.28 thf(f6,plain,(
% 0.20/0.28 ! [X0 : (($i > $o) > ($i > $o) > $o)] : ? [X1 : ($i > $o),X2 : ($i > $o)] : (? [X3 : $i] : (((X1 @ X3)) != ((X2 @ X3))) & (((X0 @ X2 @ X1)) = $true) & (((X0 @ X1 @ X2)) = $true))),
% 0.20/0.28 inference(flattening,[],[f5])).
% 0.20/0.28 thf(f7,plain,(
% 0.20/0.28 ! [X0 : (($i > $o) > ($i > $o) > $o)] : ((((sK0 @ X0 @ (sK2 @ X0))) != ((sK1 @ X0 @ (sK2 @ X0)))) & ($true = ((X0 @ (sK1 @ X0) @ (sK0 @ X0)))) & ($true = ((X0 @ (sK0 @ X0) @ (sK1 @ X0)))))),
% 0.20/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP]),skolemize(X3,sK2 @ X0),skolemize(X3,sK2 @ X0),skolemize(X3,sK2 @ X0)],[f6])).
% 0.20/0.28 thf(f8,plain,(
% 0.20/0.28 ( ! [X0 : (($i > $o) > ($i > $o) > $o)] : (($true = ((X0 @ (sK0 @ X0) @ (sK1 @ X0))))) )),
% 0.20/0.28 inference(cnf_transformation,[],[f7])).
% 0.20/0.28 thf(f18,plain,(
% 0.20/0.28 ($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($false)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($false))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($false))))))))),
% 0.20/0.28 inference(primitive_instantiation,[],[f8])).
% 0.20/0.28 thf(f22,plain,(
% 0.20/0.28 ($true = $false)),
% 0.20/0.28 inference(beta-eta_normalization,[],[f18])).
% 0.20/0.28 thf(f23,plain,(
% 0.20/0.28 $false),
% 0.20/0.28 inference(trivial_inequality_removal,[],[f22])).
% 0.20/0.28 % SZS output end Proof for theBenchmark
% 0.20/0.28 % (4166660)------------------------------
% 0.20/0.28 % (4166660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (4166660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (4166660)CaDiCaL version: 2.1.3
% 0.20/0.28 % (4166660)Termination reason: Refutation
% 0.20/0.28 % (4166660)Time elapsed: 0.002 s
% 0.20/0.28 % (4166660)Peak memory usage: 12 MB
% 0.20/0.28 % (4166660)Instructions burned: 1 (million)
% 0.20/0.28 % (4166654)Success in time 0.035 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------