%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU917^5 : 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 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU917^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:50:49 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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 % (446750)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (446758)dis+10_1_sil=32000:sp=arity:random_seed=2740455502:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (446757)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1656589006:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (446757) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-446750-446757"...
% 0.20/0.28 % (446756)% WARNING: option uhcvi not known.
% 0.20/0.28 % (446758) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-446750-446758"...
% 0.20/0.28 % (446757)...printing done.
% 0.20/0.28 % (446758)...printing done.
% 0.20/0.28 % (446757)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) > $tType).
% 0.20/0.28 thf(func_def_1, type, sK0: (($i > $i) > $i)).
% 0.20/0.28 thf(func_def_2, type, sK1: (($i > $i) > $i)).
% 0.20/0.28 thf(func_def_3, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.28 thf(func_def_4, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.28 thf(func_def_6, type, db1: !>[X0: $tType]:(X0)).
% 0.20/0.28 thf(f1,conjecture,(
% 0.20/0.28 ? [X0 : ($i > $i)] : ! [X1 : $i,X2 : $i] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2))),
% 0.20/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM8_pme)).
% 0.20/0.28 thf(f2,negated_conjecture,(
% 0.20/0.28 ~ ? [X0 : ($i > $i)] : ! [X1 : $i,X2 : $i] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2))),
% 0.20/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.28 thf(f3,plain,(
% 0.20/0.28 ! [X0 : ($i > $i)] : ? [X1 : $i,X2 : $i] : ((X1 != X2) & (((X0 @ X1)) = ((X0 @ X2))))),
% 0.20/0.28 inference(ennf_transformation,[],[f2])).
% 0.20/0.28 thf(f4,plain,(
% 0.20/0.28 ! [X0 : ($i > $i)] : ((((sK0 @ X0)) != ((sK1 @ X0))) & (((X0 @ (sK0 @ X0))) = ((X0 @ (sK1 @ X0)))))),
% 0.20/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X2,sK1 @ X0),skolemize(X2,sK1 @ X0)],[f3])).
% 0.20/0.28 thf(f5,plain,(
% 0.20/0.28 ( ! [X0 : ($i > $i)] : ((((X0 @ (sK0 @ X0))) = ((X0 @ (sK1 @ X0))))) )),
% 0.20/0.28 inference(cnf_transformation,[],[f4])).
% 0.20/0.28 thf(f6,plain,(
% 0.20/0.28 ( ! [X0 : ($i > $i)] : ((((sK0 @ X0)) != ((sK1 @ X0)))) )),
% 0.20/0.28 inference(cnf_transformation,[],[f4])).
% 0.20/0.28 thf(f9,plain,(
% 0.20/0.28 ( ! [X0 : ($i > $i > $i),X1 : ($i > $i)] : (((((^[Y0 : $i]: (sK1 @ (X0 @ Y0))) @ (sK0 @ (^[Y0 : $i]: (sK1 @ (X0 @ Y0)))))) != ((sK0 @ X1))) | (((X0 @ (sK1 @ (^[Y0 : $i]: (sK1 @ (X0 @ Y0)))))) != X1)) )),
% 0.20/0.28 inference(constrained_superposition,[],[f6,f5])).
% 0.20/0.28 thf(f10,plain,(
% 0.20/0.28 ( ! [X0 : ($i > $i > $i),X1 : ($i > $i)] : ((((sK0 @ X1)) != ((sK1 @ (X0 @ (sK0 @ (^[Y0 : $i]: (sK1 @ (X0 @ Y0)))))))) | (((X0 @ (sK1 @ (^[Y0 : $i]: (sK1 @ (X0 @ Y0)))))) != X1)) )),
% 0.20/0.28 inference(beta-eta_normalization,[],[f9])).
% 0.20/0.28 thf(f23,plain,(
% 0.20/0.28 ( ! [X0 : ($i > $i)] : ((((sK0 @ X0)) != (((^[Y0 : $i]: (Y0)) @ (sK0 @ (^[Y0 : $i]: (Y0)))))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ (sK1 @ (^[Y0 : $i]: (sK1 @ ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))) @ Y0)))))) != X0)) )),
% 0.20/0.28 inference(constrained_superposition,[],[f10,f5])).
% 0.20/0.28 thf(f26,plain,(
% 0.20/0.28 ( ! [X0 : ($i > $i)] : ((((sK0 @ X0)) != ((sK0 @ (^[Y0 : $i]: (Y0))))) | ((^[Y0 : $i]: (Y0)) != X0)) )),
% 0.20/0.28 inference(beta-eta_normalization,[],[f23])).
% 0.20/0.28 thf(f39,plain,(
% 0.20/0.28 ((^[Y0 : $i]: (Y0)) != (^[Y0 : $i]: (Y0)))),
% 0.20/0.28 inference(equality_resolution,[],[f26])).
% 0.20/0.28 thf(f40,plain,(
% 0.20/0.28 $false),
% 0.20/0.28 inference(trivial_inequality_removal,[],[f39])).
% 0.20/0.28 % SZS output end Proof for theBenchmark
% 0.20/0.28 % (446757)------------------------------
% 0.20/0.28 % (446757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (446757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (446757)CaDiCaL version: 2.1.3
% 0.20/0.28 % (446757)Termination reason: Refutation
% 0.20/0.28 % (446757)Time elapsed: 0.004 s
% 0.20/0.28 % (446757)Peak memory usage: 12 MB
% 0.20/0.28 % (446757)Instructions burned: 4 (million)
% 0.20/0.28 % (446750)Success in time 0.038 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------