%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU950^5 : 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 : n012.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 08:32:01 AM UTC 2026
% Result : Theorem 0.06s 0.21s
% Output : Refutation 0.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU950^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.15 % Computer : n012.cluster.edu
% 0.06/0.15 % Model : x86_64 x86_64
% 0.06/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.15 % Memory : 8046.5625MB
% 0.06/0.15 % OS : Linux 6.8.0-71-generic
% 0.06/0.15 % CPULimit : 300
% 0.06/0.15 % WCLimit : 300
% 0.06/0.15 % DateTime : Tue Sep 29 14:50:10 UTC 2026
% 0.06/0.15 % CPUTime :
% 0.06/0.15 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 Running higher-order theorem proving
% 0.06/0.18 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
% 0.06/0.21 % (209531)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.06/0.21 % (209542)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.06/0.21 % (209542)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
% 0.06/0.21 % (209542)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=59548404:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_3000 on theBenchmark for (3000ds/157Mi)
% 0.06/0.21 % (209538)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=466359381:i=3:rtra=on:inj=on:ntd=on_3000 on theBenchmark for (3000ds/3Mi)
% 0.06/0.21 % (209536)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2702923140:s2a=on:i=87:rtra=on:ntd=on_3000 on theBenchmark for (3000ds/87Mi)
% 0.06/0.21 % (209541)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1448215082:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_3000 on theBenchmark for (3000ds/75Mi)
% 0.06/0.21 % (209540)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1156270171:i=24:av=off:rtra=on_3000 on theBenchmark for (3000ds/24Mi)
% 0.06/0.21 % (209539)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=1922288295: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_3000 on theBenchmark for (3000ds/634Mi)
% 0.06/0.21 % (209537)lrs+10_16_si=on:nwc=1.5:random_seed=2919825395:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_3000 on theBenchmark for (3000ds/18Mi)
% 0.06/0.21 % (209539) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-209531-209539"...
% 0.06/0.21 % (209538) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-209531-209538"...
% 0.06/0.21 % (209542)Refutation not found, incomplete strategy
% 0.06/0.21 % (209542)------------------------------
% 0.06/0.21 % (209542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.21 % (209542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.21 % (209542)CaDiCaL version: 2.1.3
% 0.06/0.21 % (209542)Termination reason: Refutation not found, incomplete strategy
% 0.06/0.21 % (209542)Time elapsed: 0.002 s
% 0.06/0.21 % (209542)Peak memory usage: 12 MB
% 0.06/0.21 % (209542)Instructions burned: 3 (million)
% 0.06/0.21 % (209539)...printing done.
% 0.06/0.21 % (209538)...printing done.
% 0.06/0.21 % (209542)------------------------------
% 0.06/0.21 % (209542)------------------------------
% 0.06/0.21 % (209538)Refutation found. Thanks to Tanya!
% 0.06/0.21 % SZS status Theorem for theBenchmark
% 0.06/0.21 % SZS output start Proof for theBenchmark
% 0.06/0.21 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.06/0.21 thf(func_def_0, type, h: (($i > $o) > $i)).
% 0.06/0.21 thf(func_def_2, type, sK0: (($i > $i > $o) > $i > $o)).
% 0.06/0.21 thf(func_def_5, type, vNOT: ($o > $o)).
% 0.06/0.21 thf(func_def_6, type, inv_h_1: ($i > $i > $o)).
% 0.06/0.21 thf(func_def_7, type, db0: !>[X0: $tType]:(X0)).
% 0.06/0.21 thf(func_def_8, type, db1: !>[X0: $tType]:(X0)).
% 0.06/0.21 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.06/0.21 thf(func_def_10, type, sK2: ($i > ($i > $i > $o) > $i)).
% 0.06/0.21 thf(func_def_11, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.06/0.21 thf(func_def_12, type, sK3: (($i > $o) > $i)).
% 0.06/0.21 thf(f1,conjecture,(
% 0.06/0.21 ! [X0 : ($i > $o),X1 : ($i > $o)] : ((((h @ X0)) = ((h @ X1))) => (X0 = X1)) => ? [X2 : ($i > $i > $o)] : ! [X3 : ($i > $o)] : ? [X4 : $i] : (((X2 @ X4)) = X3)),
% 0.06/0.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM573_pme)).
% 0.06/0.21 thf(f2,negated_conjecture,(
% 0.06/0.21 ~(! [X0 : ($i > $o),X1 : ($i > $o)] : ((((h @ X0)) = ((h @ X1))) => (X0 = X1)) => ? [X2 : ($i > $i > $o)] : ! [X3 : ($i > $o)] : ? [X4 : $i] : (((X2 @ X4)) = X3))),
% 0.06/0.21 inference(negated_conjecture,[status(cth)],[f1])).
% 0.06/0.21 thf(f3,plain,(
% 0.06/0.21 ~(! [X0 : ($i > $o),X1 : ($i > $o)] : ((((h @ X0)) = ((h @ X1))) => (X0 = X1)) => ? [X2 : ($i > $i > $o)] : ! [X3 : ($i > $o)] : ? [X4 : $i] : (((X2 @ X4)) = X3))),
% 0.06/0.21 inference(fool_elimination,[],[f2])).
% 0.06/0.21 thf(f4,plain,(
% 0.06/0.21 ! [X0 : ($i > $o),X1 : ($i > $o)] : ((((h @ X0)) != ((h @ X1))) | (X0 = X1)) & ! [X2 : ($i > $i > $o)] : ? [X3 : ($i > $o)] : ! [X4 : $i] : (((X2 @ X4)) != X3)),
% 0.06/0.21 inference(ennf_transformation,[],[f3])).
% 0.06/0.21 thf(f5,plain,(
% 0.06/0.21 ! [X0 : ($i > $o),X1 : ($i > $o)] : ((((h @ X0)) != ((h @ X1))) | (X0 = X1)) & ! [X2 : ($i > $i > $o)] : ! [X4 : $i] : (((X2 @ X4)) != ((sK0 @ X2)))),
% 0.06/0.21 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK0 @ X2)],[f4])).
% 0.06/0.21 thf(f6,plain,(
% 0.06/0.21 ( ! [X2 : ($i > $i > $o),X4 : $i] : ((((X2 @ X4)) != ((sK0 @ X2)))) )),
% 0.06/0.21 inference(cnf_transformation,[],[f5])).
% 0.06/0.21 thf(f7,plain,(
% 0.06/0.21 ( ! [X0 : ($i > $o),X1 : ($i > $o)] : ((((h @ X0)) != ((h @ X1))) | (X0 = X1)) )),
% 0.06/0.21 inference(cnf_transformation,[],[f5])).
% 0.06/0.21 thf(f10,plain,(
% 0.06/0.21 ( ! [X0 : ($i > $o)] : ((((inv_h_1 @ (h @ X0))) = X0)) )),
% 0.06/0.21 inference(injectivity,[],[f7])).
% 0.06/0.21 thf(f16,plain,(
% 0.06/0.21 ( ! [X0 : ($i > $o)] : ((((sK0 @ inv_h_1)) != X0)) )),
% 0.06/0.21 inference(constrained_superposition,[],[f6,f10])).
% 0.06/0.21 thf(f31,plain,(
% 0.06/0.21 $false),
% 0.06/0.21 inference(equality_resolution,[],[f16])).
% 0.06/0.21 % SZS output end Proof for theBenchmark
% 0.06/0.21 % (209538)------------------------------
% 0.06/0.21 % (209538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.21 % (209538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.21 % (209538)CaDiCaL version: 2.1.3
% 0.06/0.21 % (209538)Termination reason: Refutation
% 0.06/0.21 % (209538)Time elapsed: 0.002 s
% 0.06/0.21 % (209538)Peak memory usage: 12 MB
% 0.06/0.21 % (209538)Instructions burned: 2 (million)
% 0.06/0.21 % (209531)Success in time 0.024 s
% 0.06/0.21 % Vampire exiting
%------------------------------------------------------------------------------