%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV431^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:38:37 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 : SEV431^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n019.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 15:46:57 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.27 % (948166)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (948171)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2600575937:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.27 % (948171)Refutation not found, incomplete strategy
% 0.20/0.27 % (948171)------------------------------
% 0.20/0.27 % (948171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (948171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (948171)CaDiCaL version: 2.1.3
% 0.20/0.27 % (948171)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.27 % (948171)Time elapsed: 0.001 s
% 0.20/0.27 % (948171)Peak memory usage: 12 MB
% 0.20/0.27 % (948171)------------------------------
% 0.20/0.27 % (948171)------------------------------
% 0.20/0.27 % (948177)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.27 % (948177)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.27 % (948173)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3568036639:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.27 % (948172)lrs+10_16_si=on:nwc=1.5:random_seed=296847346:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.27 % (948174)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2161469813:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.27 % (948176)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1723648233:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.27 % (948175)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1092388234:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.27 % (948177)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1266266988:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.27 % (948173) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-948166-948173"...
% 0.20/0.27 % (948175)Refutation not found, incomplete strategy
% 0.20/0.27 % (948175)------------------------------
% 0.20/0.27 % (948175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (948174) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-948166-948174"...
% 0.20/0.27 % (948175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (948175)CaDiCaL version: 2.1.3
% 0.20/0.27 % (948175)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.27 % (948175)Time elapsed: 0.001 s
% 0.20/0.27 % (948175)Peak memory usage: 12 MB
% 0.20/0.27 % (948175)------------------------------
% 0.20/0.27 % (948175)------------------------------
% 0.20/0.27 % (948173)...printing done.
% 0.20/0.27 % (948174)...printing done.
% 0.20/0.27 % (948173)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, b: $tType).
% 0.20/0.27 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.27 thf(func_def_0, type, f: (a > b)).
% 0.20/0.27 thf(func_def_2, type, sK0: ((b > a) > a)).
% 0.20/0.27 thf(func_def_3, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.27 thf(func_def_4, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.27 thf(func_def_5, type, inv_f_1: (b > a)).
% 0.20/0.27 thf(f1,axiom,(
% 0.20/0.27 ! [X0 : a,X1 : a] : ((((f @ X0)) = ((f @ X1))) => (X0 = X1))),
% 0.20/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',finj)).
% 0.20/0.27 thf(f2,conjecture,(
% 0.20/0.27 ? [X0 : (b > a)] : ! [X1 : a] : (((X0 @ (f @ X1))) = X1)),
% 0.20/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',invexists)).
% 0.20/0.27 thf(f3,negated_conjecture,(
% 0.20/0.27 ~ ? [X0 : (b > a)] : ! [X1 : a] : (((X0 @ (f @ X1))) = X1)),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f2])).
% 0.20/0.27 thf(f4,plain,(
% 0.20/0.27 ! [X0 : a,X1 : a] : ((((f @ X0)) = ((f @ X1))) => (X0 = X1))),
% 0.20/0.27 inference(fool_elimination,[],[f1])).
% 0.20/0.27 thf(f5,plain,(
% 0.20/0.27 ~ ? [X0 : (b > a)] : ! [X1 : a] : (((X0 @ (f @ X1))) = X1)),
% 0.20/0.27 inference(fool_elimination,[],[f3])).
% 0.20/0.27 thf(f6,plain,(
% 0.20/0.27 ! [X0 : (b > a)] : ? [X1 : a] : (((X0 @ (f @ X1))) != X1)),
% 0.20/0.27 inference(ennf_transformation,[],[f5])).
% 0.20/0.27 thf(f7,plain,(
% 0.20/0.27 ! [X0 : a,X1 : a] : ((((f @ X0)) != ((f @ X1))) | (X0 = X1))),
% 0.20/0.27 inference(ennf_transformation,[],[f4])).
% 0.20/0.27 thf(f8,plain,(
% 0.20/0.27 ! [X0 : (b > a)] : (((X0 @ (f @ (sK0 @ X0)))) != ((sK0 @ X0)))),
% 0.20/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f6])).
% 0.20/0.27 thf(f9,plain,(
% 0.20/0.27 ( ! [X0 : a,X1 : a] : ((((f @ X0)) != ((f @ X1))) | (X0 = X1)) )),
% 0.20/0.27 inference(cnf_transformation,[],[f7])).
% 0.20/0.27 thf(f10,plain,(
% 0.20/0.27 ( ! [X0 : (b > a)] : ((((X0 @ (f @ (sK0 @ X0)))) != ((sK0 @ X0)))) )),
% 0.20/0.27 inference(cnf_transformation,[],[f8])).
% 0.20/0.27 thf(f13,plain,(
% 0.20/0.27 ( ! [X0 : a] : ((((inv_f_1 @ (f @ X0))) = X0)) )),
% 0.20/0.27 inference(injectivity,[],[f9])).
% 0.20/0.27 thf(f15,plain,(
% 0.20/0.27 (((sK0 @ inv_f_1)) != ((sK0 @ inv_f_1)))),
% 0.20/0.27 inference(constrained_superposition,[],[f10,f13])).
% 0.20/0.27 thf(f16,plain,(
% 0.20/0.27 $false),
% 0.20/0.27 inference(trivial_inequality_removal,[],[f15])).
% 0.20/0.27 % SZS output end Proof for theBenchmark
% 0.20/0.27 % (948173)------------------------------
% 0.20/0.27 % (948173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (948173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (948173)CaDiCaL version: 2.1.3
% 0.20/0.27 % (948173)Termination reason: Refutation
% 0.20/0.27 % (948173)Time elapsed: 0.002 s
% 0.20/0.27 % (948173)Peak memory usage: 12 MB
% 0.20/0.27 % (948173)Instructions burned: 1 (million)
% 0.20/0.27 % (948166)Success in time 0.04 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------