%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV273^5 : 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 : n015.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 08:39:15 AM UTC 2026
% Result : Theorem 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV273^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.19 % Computer : n015.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Tue Sep 29 15:34:20 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.22 Running first-order model finding
% 0.06/0.22 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
% 0.18/0.28 % (3664283)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (3664290)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2234209447:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (3664289)% WARNING: option uhcvi not known.
% 0.18/0.28 % (3664288)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=832142284_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (3664289)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3354937358:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (3664292)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=747465578:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (3664291)dis+10_1_sil=32000:sp=arity:random_seed=3832712132:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (3664289)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.18/0.28 % (3664292)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.18/0.28 % (3664293)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3112073852:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % Exception at run slice level
% 0.18/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.28 % (3664294)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3159139054:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % (3664289)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.18/0.28 % (3664292) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3664283-3664292"...
% 0.18/0.28 % (3664292)...printing done.
% 0.18/0.28 % (3664292)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Theorem for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% 0.18/0.28 thf(type_def_5, type, a: $tType).
% 0.18/0.28 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.18/0.28 thf(func_def_0, type, cR: (a > a > $o)).
% 0.18/0.28 thf(func_def_4, type, sK0: a).
% 0.18/0.28 thf(func_def_5, type, sK1: ((a > $o) > a)).
% 0.18/0.28 thf(func_def_6, type, sK2: (a > (a > $o) > a)).
% 0.18/0.28 thf(func_def_7, type, vNOT: ($o > $o)).
% 0.18/0.28 thf(func_def_8, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.18/0.28 thf(func_def_9, type, db0: !>[X0: $tType]:(X0)).
% 0.18/0.28 thf(func_def_10, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.18/0.28 thf(f1,conjecture,(
% 0.18/0.28 ! [X0 : (a > $o)] : (? [X1 : a] : (X0 @ X1) => ? [X1 : a] : (! [X3 : a] : ((! [X2 : a] : ((X0 @ X2) => (cR @ X3 @ X2)) & (X0 @ X3)) => (X3 = X1)) & ! [X2 : a] : ((X0 @ X2) => (cR @ X1 @ X2)) & (X0 @ X1))) => ! [X2 : a] : (cR @ X2 @ X2)),
% 0.18/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM542_pme)).
% 0.18/0.28 thf(f2,negated_conjecture,(
% 0.18/0.28 ~(! [X0 : (a > $o)] : (? [X1 : a] : (X0 @ X1) => ? [X1 : a] : (! [X3 : a] : ((! [X2 : a] : ((X0 @ X2) => (cR @ X3 @ X2)) & (X0 @ X3)) => (X3 = X1)) & ! [X2 : a] : ((X0 @ X2) => (cR @ X1 @ X2)) & (X0 @ X1))) => ! [X2 : a] : (cR @ X2 @ X2))),
% 0.18/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.28 thf(f3,plain,(
% 0.18/0.28 ~(! [X0 : (a > $o)] : (? [X1 : a] : (X0 @ X1) => ? [X2 : a] : (! [X3 : a] : ((! [X4 : a] : ((X0 @ X4) => (cR @ X3 @ X4)) & (X0 @ X3)) => (X2 = X3)) & ! [X5 : a] : ((X0 @ X5) => (cR @ X2 @ X5)) & (X0 @ X2))) => ! [X6 : a] : (cR @ X6 @ X6))),
% 0.18/0.28 inference(rectify,[],[f2])).
% 0.18/0.28 thf(f4,plain,(
% 0.18/0.28 ~(! [X0 : (a > $o)] : (? [X1 : a] : (((X0 @ X1)) = $true) => ? [X2 : a] : (! [X3 : a] : ((! [X4 : a] : ((((X0 @ X4)) = $true) => (((cR @ X3 @ X4)) = $true)) & (((X0 @ X3)) = $true)) => (X2 = X3)) & ! [X5 : a] : ((((X0 @ X5)) = $true) => (((cR @ X2 @ X5)) = $true)) & (((X0 @ X2)) = $true))) => ! [X6 : a] : (((cR @ X6 @ X6)) = $true))),
% 0.18/0.28 inference(fool_elimination,[],[f3])).
% 0.18/0.28 thf(f5,plain,(
% 0.18/0.28 ? [X6 : a] : (((cR @ X6 @ X6)) != $true) & ! [X0 : (a > $o)] : (? [X2 : a] : (! [X3 : a] : ((X2 = X3) | (? [X4 : a] : ((((cR @ X3 @ X4)) != $true) & (((X0 @ X4)) = $true)) | (((X0 @ X3)) != $true))) & ! [X5 : a] : ((((cR @ X2 @ X5)) = $true) | (((X0 @ X5)) != $true)) & (((X0 @ X2)) = $true)) | ! [X1 : a] : (((X0 @ X1)) != $true))),
% 0.18/0.28 inference(ennf_transformation,[],[f4])).
% 0.18/0.28 thf(f6,plain,(
% 0.18/0.28 ? [X6 : a] : (((cR @ X6 @ X6)) != $true) & ! [X0 : (a > $o)] : (? [X2 : a] : (! [X3 : a] : ((X2 = X3) | ? [X4 : a] : ((((cR @ X3 @ X4)) != $true) & (((X0 @ X4)) = $true)) | (((X0 @ X3)) != $true)) & ! [X5 : a] : ((((cR @ X2 @ X5)) = $true) | (((X0 @ X5)) != $true)) & (((X0 @ X2)) = $true)) | ! [X1 : a] : (((X0 @ X1)) != $true))),
% 0.18/0.28 inference(flattening,[],[f5])).
% 0.18/0.28 thf(f7,plain,(
% 0.18/0.28 ? [X0 : a] : ($true != ((cR @ X0 @ X0))) & ! [X1 : (a > $o)] : (? [X2 : a] : (! [X3 : a] : ((X2 = X3) | ? [X4 : a] : ((((cR @ X3 @ X4)) != $true) & ($true = ((X1 @ X4)))) | ($true != ((X1 @ X3)))) & ! [X5 : a] : ((((cR @ X2 @ X5)) = $true) | ($true != ((X1 @ X5)))) & ($true = ((X1 @ X2)))) | ! [X6 : a] : ($true != ((X1 @ X6))))),
% 0.18/0.28 inference(rectify,[],[f6])).
% 0.18/0.28 thf(f8,plain,(
% 0.18/0.28 ($true != ((cR @ sK0 @ sK0))) & ! [X1 : (a > $o)] : ((! [X3 : a] : ((((sK1 @ X1)) = X3) | (($true != ((cR @ X3 @ (sK2 @ X3 @ X1)))) & ($true = ((X1 @ (sK2 @ X3 @ X1))))) | ($true != ((X1 @ X3)))) & ! [X5 : a] : (($true = ((cR @ (sK1 @ X1) @ X5))) | ($true != ((X1 @ X5)))) & ($true = ((X1 @ (sK1 @ X1))))) | ! [X6 : a] : ($true != ((X1 @ X6))))),
% 0.18/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X4,sK2 @ X3 @ X1),skolemize(X4,sK2 @ X3 @ X1)],[f7])).
% 0.18/0.28 thf(f9,plain,(
% 0.18/0.28 ( ! [X1 : (a > $o),X6 : a] : (($true = ((X1 @ (sK1 @ X1)))) | ($true != ((X1 @ X6)))) )),
% 0.18/0.28 inference(cnf_transformation,[],[f8])).
% 0.18/0.28 thf(f10,plain,(
% 0.18/0.28 ( ! [X1 : (a > $o),X6 : a,X5 : a] : (($true = ((cR @ (sK1 @ X1) @ X5))) | ($true != ((X1 @ X6))) | ($true != ((X1 @ X5)))) )),
% 0.18/0.28 inference(cnf_transformation,[],[f8])).
% 0.18/0.28 thf(f13,plain,(
% 0.18/0.28 ($true != ((cR @ sK0 @ sK0)))),
% 0.18/0.28 inference(cnf_transformation,[],[f8])).
% 0.18/0.28 thf(f16,plain,(
% 0.18/0.28 ( ! [X0 : a] : ((((sK1 @ (= @ X0))) = X0)) )),
% 0.18/0.28 inference(leibniz_equality_elimination,[],[f9])).
% 0.18/0.28 thf(f128,plain,(
% 0.18/0.28 ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((cR @ X0 @ X1))) | ($true != ((X0 = X2))) | ($true != ((X0 = X1)))) )),
% 0.18/0.28 inference(constrained_superposition,[],[f10,f16])).
% 0.18/0.28 thf(f169,plain,(
% 0.18/0.28 ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((cR @ X0 @ X1))) | (X0 != X2) | ($true != ((X0 = X1)))) )),
% 0.18/0.28 inference(equality_proxy_clausification,[],[f128])).
% 0.18/0.28 thf(f170,plain,(
% 0.18/0.28 ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((cR @ X0 @ X1))) | (X0 != X2) | (X0 != X1)) )),
% 0.18/0.28 inference(equality_proxy_clausification,[],[f169])).
% 0.18/0.28 thf(f191,plain,(
% 0.18/0.28 ( ! [X0 : a] : (($true != $true) | (sK0 != X0) | (sK0 != sK0)) )),
% 0.18/0.28 inference(constrained_superposition,[],[f13,f170])).
% 0.18/0.28 thf(f201,plain,(
% 0.18/0.28 ( ! [X0 : a] : ((sK0 != X0)) )),
% 0.18/0.28 inference(trivial_inequality_removal,[],[f191])).
% 0.18/0.28 thf(f298,plain,(
% 0.18/0.28 $false),
% 0.18/0.28 inference(equality_resolution,[],[f201])).
% 0.18/0.28 % SZS output end Proof for theBenchmark
% 0.18/0.28 % (3664292)------------------------------
% 0.18/0.28 % (3664292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (3664292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (3664292)CaDiCaL version: 2.1.3
% 0.18/0.28 % (3664292)Termination reason: Refutation
% 0.18/0.28 % (3664292)Time elapsed: 0.012 s
% 0.18/0.28 % (3664292)Peak memory usage: 12 MB
% 0.18/0.28 % (3664292)Instructions burned: 21 (million)
% 0.18/0.28 % (3664283)Success in time 0.05 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------