%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO553^1 : 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 : 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 08:48:24 AM UTC 2026
% Result : Theorem 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO553^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.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 17:18:03 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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
% 0.22/0.29 % (3835514)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (3835525)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.29 % (3835525)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
% 0.22/0.29 % (3835525)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=933955330:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.29 % (3835521)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3765652473:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.29 % (3835520)lrs+10_16_si=on:nwc=1.5:random_seed=9322636:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.29 % (3835519)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2785806749:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29 % (3835525)Refutation not found, incomplete strategy
% 0.22/0.29 % (3835525)------------------------------
% 0.22/0.29 % (3835525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3835525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3835525)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3835525)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (3835525)Time elapsed: 0.001 s
% 0.22/0.29 % (3835525)Peak memory usage: 12 MB
% 0.22/0.29 % (3835525)Instructions burned: 1 (million)
% 0.22/0.29 % (3835523)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3649004680:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (3835522)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=2247779830: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)
% 0.22/0.29 % (3835524)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3861653050:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.29 % (3835525)------------------------------
% 0.22/0.29 % (3835525)------------------------------
% 0.22/0.29 % (3835521) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3835514-3835521"...
% 0.22/0.29 % (3835519) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3835514-3835519"...
% 0.22/0.29 % (3835523) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3835514-3835523"...
% 0.22/0.29 % (3835522) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3835514-3835522"...
% 0.22/0.29 % (3835520) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3835514-3835520"...
% 0.22/0.29 % (3835521)...printing done.
% 0.22/0.29 % (3835524) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3835514-3835524"...
% 0.22/0.29 % (3835519)...printing done.
% 0.22/0.29 % (3835523)...printing done.
% 0.22/0.29 % (3835522)...printing done.
% 0.22/0.29 % (3835520)...printing done.
% 0.22/0.29 % (3835521)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Theorem for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% 0.22/0.29 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.29 thf(func_def_1, type, sK0: (($i > $i > $i) > $i)).
% 0.22/0.29 thf(func_def_2, type, sK1: (($i > $i > $i) > $i)).
% 0.22/0.29 thf(func_def_3, type, db0: !>[X0: $tType]:(X0)).
% 0.22/0.29 thf(func_def_4, type, db1: !>[X0: $tType]:(X0)).
% 0.22/0.29 thf(func_def_5, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.22/0.29 thf(f1,conjecture,(
% 0.22/0.29 ? [X0 : ($i > $i > $i)] : ! [X1 : $i,X2 : $i] : (((X0 @ X1 @ X2)) = X2)),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim)).
% 0.22/0.29 thf(f2,negated_conjecture,(
% 0.22/0.29 ~ ? [X0 : ($i > $i > $i)] : ! [X1 : $i,X2 : $i] : (((X0 @ X1 @ X2)) = X2)),
% 0.22/0.29 inference(negated_conjecture,[status(cth)],[f1])).
% 0.22/0.29 thf(f3,plain,(
% 0.22/0.29 ~ ? [X0 : ($i > $i > $i)] : ! [X1 : $i,X2 : $i] : (((X0 @ X1 @ X2)) = X2)),
% 0.22/0.29 inference(fool_elimination,[],[f2])).
% 0.22/0.29 thf(f4,plain,(
% 0.22/0.29 ! [X0 : ($i > $i > $i)] : ? [X2 : $i,X1 : $i] : (((X0 @ X1 @ X2)) != X2)),
% 0.22/0.29 inference(ennf_transformation,[],[f3])).
% 0.22/0.29 thf(f5,plain,(
% 0.22/0.29 ! [X0 : ($i > $i > $i)] : ? [X1 : $i,X2 : $i] : (((X0 @ X2 @ X1)) != X1)),
% 0.22/0.29 inference(rectify,[],[f4])).
% 0.22/0.29 thf(f6,plain,(
% 0.22/0.29 ! [X0 : ($i > $i > $i)] : (((X0 @ (sK1 @ X0) @ (sK0 @ X0))) != ((sK0 @ X0)))),
% 0.22/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X2,sK1 @ X0),skolemize(X2,sK1 @ X0)],[f5])).
% 0.22/0.29 thf(f7,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $i)] : ((((X0 @ (sK1 @ X0) @ (sK0 @ X0))) != ((sK0 @ X0)))) )),
% 0.22/0.29 inference(cnf_transformation,[],[f6])).
% 0.22/0.29 thf(f9,plain,(
% 0.22/0.29 (((sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))))) != (((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) @ (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))))))),
% 0.22/0.29 inference(projection,[],[f7])).
% 0.22/0.29 thf(f11,plain,(
% 0.22/0.29 (((sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))))) != ((sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))))))),
% 0.22/0.29 inference(beta-eta_normalization,[],[f9])).
% 0.22/0.29 thf(f12,plain,(
% 0.22/0.29 $false),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f11])).
% 0.22/0.29 % SZS output end Proof for theBenchmark
% 0.22/0.29 % (3835521)------------------------------
% 0.22/0.29 % (3835521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3835521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3835521)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3835521)Termination reason: Refutation
% 0.22/0.29 % (3835521)Time elapsed: 0.001 s
% 0.22/0.29 % (3835521)Peak memory usage: 12 MB
% 0.22/0.29 % (3835521)Instructions burned: 1 (million)
% 0.22/0.29 % (3835514)Success in time 0.037 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------