%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU935^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:31:58 AM UTC 2026
% Result : Theorem 0.12s 0.26s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU935^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.17 % Computer : n008.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Tue Sep 29 14:47:54 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.21 Running higher-order theorem proving
% 0.12/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.26 % (3262455)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.12/0.26 % (3262462)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2335800371:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.12/0.26 % (3262462) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3262455-3262462"...
% 0.12/0.26 % (3262462)...printing done.
% 0.12/0.26 % (3262462)Refutation found. Thanks to Tanya!
% 0.12/0.26 % SZS status Theorem for theBenchmark
% 0.12/0.26 % SZS output start Proof for theBenchmark
% 0.12/0.26 thf(type_def_5, type, a: $tType).
% 0.12/0.26 thf(type_def_6, type, b: $tType).
% 0.12/0.26 thf(type_def_7, type, c: $tType).
% 0.12/0.26 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.12/0.26 thf(func_def_1, type, sK0: (b > c)).
% 0.12/0.26 thf(func_def_2, type, sK1: (a > b)).
% 0.12/0.26 thf(func_def_3, type, sK2: c).
% 0.12/0.26 thf(func_def_4, type, sK3: (c > b)).
% 0.12/0.26 thf(func_def_5, type, sK4: (b > a)).
% 0.12/0.26 thf(f1,conjecture,(
% 0.12/0.26 ! [X1 : (b > c),X0 : (a > b)] : ((! [X2 : b] : ? [X3 : a] : (((X0 @ X3)) = X2) & ! [X2 : c] : ? [X3 : b] : (((X1 @ X3)) = X2)) => ! [X2 : c] : ? [X3 : a] : (((X1 @ (X0 @ X3))) = X2))),
% 0.12/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cFN_THM_2_pme)).
% 0.12/0.26 thf(f2,negated_conjecture,(
% 0.12/0.26 ~ ! [X1 : (b > c),X0 : (a > b)] : ((! [X2 : b] : ? [X3 : a] : (((X0 @ X3)) = X2) & ! [X2 : c] : ? [X3 : b] : (((X1 @ X3)) = X2)) => ! [X2 : c] : ? [X3 : a] : (((X1 @ (X0 @ X3))) = X2))),
% 0.12/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.26 thf(f3,plain,(
% 0.12/0.26 ~ ! [X0 : (b > c),X1 : (a > b)] : ((! [X2 : b] : ? [X3 : a] : (((X1 @ X3)) = X2) & ! [X4 : c] : ? [X5 : b] : (((X0 @ X5)) = X4)) => ! [X6 : c] : ? [X7 : a] : (((X0 @ (X1 @ X7))) = X6))),
% 0.12/0.26 inference(rectify,[],[f2])).
% 0.12/0.26 thf(f4,plain,(
% 0.12/0.26 ~ ! [X0 : (b > c),X1 : (a > b)] : ((! [X4 : c] : ? [X5 : b] : (((X0 @ X5)) = X4) & ! [X2 : b] : ? [X3 : a] : (((X1 @ X3)) = X2)) => ! [X6 : c] : ? [X7 : a] : (((X0 @ (X1 @ X7))) = X6))),
% 0.12/0.26 inference(fool_elimination,[],[f3])).
% 0.12/0.26 thf(f5,plain,(
% 0.12/0.26 ? [X0 : (b > c),X1 : (a > b)] : (? [X6 : c] : ! [X7 : a] : (((X0 @ (X1 @ X7))) != X6) & (! [X4 : c] : ? [X5 : b] : (((X0 @ X5)) = X4) & ! [X2 : b] : ? [X3 : a] : (((X1 @ X3)) = X2)))),
% 0.12/0.26 inference(ennf_transformation,[],[f4])).
% 0.12/0.26 thf(f6,plain,(
% 0.12/0.26 ? [X0 : (b > c),X1 : (a > b)] : (? [X6 : c] : ! [X7 : a] : (((X0 @ (X1 @ X7))) != X6) & ! [X4 : c] : ? [X5 : b] : (((X0 @ X5)) = X4) & ! [X2 : b] : ? [X3 : a] : (((X1 @ X3)) = X2))),
% 0.12/0.26 inference(flattening,[],[f5])).
% 0.12/0.26 thf(f7,plain,(
% 0.12/0.26 ? [X0 : (b > c),X1 : (a > b)] : (? [X2 : c] : ! [X3 : a] : (((X0 @ (X1 @ X3))) != X2) & ! [X4 : c] : ? [X5 : b] : (((X0 @ X5)) = X4) & ! [X6 : b] : ? [X7 : a] : (((X1 @ X7)) = X6))),
% 0.12/0.26 inference(rectify,[],[f6])).
% 0.12/0.26 thf(f8,plain,(
% 0.12/0.26 ! [X3 : a] : (((sK0 @ (sK1 @ X3))) != sK2) & ! [X4 : c] : (((sK0 @ (sK3 @ X4))) = X4) & ! [X6 : b] : (((sK1 @ (sK4 @ X6))) = X6)),
% 0.12/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X7,sK4 @ X6),skolemize(X7,sK4 @ X6)],[f7])).
% 0.12/0.26 thf(f9,plain,(
% 0.12/0.26 ( ! [X6 : b] : ((((sK1 @ (sK4 @ X6))) = X6)) )),
% 0.12/0.26 inference(cnf_transformation,[],[f8])).
% 0.12/0.26 thf(f10,plain,(
% 0.12/0.26 ( ! [X4 : c] : ((((sK0 @ (sK3 @ X4))) = X4)) )),
% 0.12/0.26 inference(cnf_transformation,[],[f8])).
% 0.12/0.26 thf(f11,plain,(
% 0.12/0.26 ( ! [X3 : a] : ((((sK0 @ (sK1 @ X3))) != sK2)) )),
% 0.12/0.26 inference(cnf_transformation,[],[f8])).
% 0.12/0.26 thf(f12,plain,(
% 0.12/0.26 ( ! [X0 : b] : ((((sK0 @ X0)) != sK2)) )),
% 0.12/0.26 inference(constrained_superposition,[],[f11,f9])).
% 0.12/0.26 thf(f13,plain,(
% 0.12/0.26 ( ! [X0 : c] : ((sK2 != X0)) )),
% 0.12/0.26 inference(constrained_superposition,[],[f12,f10])).
% 0.12/0.26 thf(f14,plain,(
% 0.12/0.26 (sK2 != sK2)),
% 0.12/0.26 inference(imitation,[],[f13])).
% 0.12/0.26 thf(f16,plain,(
% 0.12/0.26 $false),
% 0.12/0.26 inference(trivial_inequality_removal,[],[f14])).
% 0.12/0.26 % SZS output end Proof for theBenchmark
% 0.12/0.26 % (3262462)------------------------------
% 0.12/0.26 % (3262462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.26 % (3262462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.26 % (3262462)CaDiCaL version: 2.1.3
% 0.12/0.26 % (3262462)Termination reason: Refutation
% 0.12/0.26 % (3262462)Time elapsed: 0.001 s
% 0.12/0.26 % (3262462)Peak memory usage: 12 MB
% 0.12/0.26 % (3262462)Instructions burned: 1 (million)
% 0.12/0.26 % (3262455)Success in time 0.027 s
% 0.12/0.26 % Vampire exiting
%------------------------------------------------------------------------------