%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO551^1 : 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 : n010.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 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO551^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:14:48 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.21/0.29 % (3156660)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.29 % (3156677)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=3804322009: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)
% 0.21/0.29 % (3156677)Refutation not found, incomplete strategy
% 0.21/0.29 % (3156677)------------------------------
% 0.21/0.29 % (3156677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3156677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3156677)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3156677)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.29 % (3156677)Time elapsed: 0.001 s
% 0.21/0.29 % (3156677)Peak memory usage: 12 MB
% 0.21/0.29 % (3156677)Instructions burned: 3 (million)
% 0.21/0.29 % (3156677)------------------------------
% 0.21/0.29 % (3156677)------------------------------
% 0.21/0.29 % (3156680)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.29 % (3156680)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
% 0.21/0.29 % (3156675)lrs+10_16_si=on:nwc=1.5:random_seed=482397584:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.29 % (3156674)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1253574294:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.29 % (3156676)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1353873913:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.29 % (3156680)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=930495219:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.29 % (3156678)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3172442053:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.29 % (3156679)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1244994942:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.29 % (3156675) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3156660-3156675"...
% 0.21/0.29 % (3156674)Refutation not found, incomplete strategy
% 0.21/0.29 % (3156674)------------------------------
% 0.21/0.29 % (3156674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3156674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3156674)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3156674)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.29 % (3156674)Time elapsed: 0.002 s
% 0.21/0.29 % (3156674)Peak memory usage: 12 MB
% 0.21/0.29 % (3156674)Instructions burned: 2 (million)
% 0.21/0.29 % (3156676)Refutation not found, incomplete strategy
% 0.21/0.29 % (3156676)------------------------------
% 0.21/0.29 % (3156676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3156676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3156676)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3156676)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.29 % (3156676)Time elapsed: 0.002 s
% 0.21/0.29 % (3156676)Peak memory usage: 12 MB
% 0.21/0.29 % (3156676)Instructions burned: 2 (million)
% 0.21/0.29 % (3156679) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3156660-3156679"...
% 0.21/0.29 % (3156678)Refutation not found, incomplete strategy
% 0.21/0.29 % (3156678)------------------------------
% 0.21/0.29 % (3156678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3156678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3156678)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3156678)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.29 % (3156678)Time elapsed: 0.002 s
% 0.21/0.29 % (3156678)Peak memory usage: 12 MB
% 0.21/0.29 % (3156678)Instructions burned: 2 (million)
% 0.21/0.29 % (3156680)Refutation not found, incomplete strategy
% 0.21/0.29 % (3156680)------------------------------
% 0.21/0.29 % (3156680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3156680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3156680)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3156680)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.29 % (3156680)Time elapsed: 0.002 s
% 0.21/0.29 % (3156680)Peak memory usage: 12 MB
% 0.21/0.29 % (3156680)Instructions burned: 3 (million)
% 0.21/0.29 % (3156675)...printing done.
% 0.21/0.29 % (3156674)------------------------------
% 0.21/0.29 % (3156674)------------------------------
% 0.21/0.29 % (3156676)------------------------------
% 0.21/0.29 % (3156676)------------------------------
% 0.21/0.29 % (3156678)------------------------------
% 0.21/0.29 % (3156678)------------------------------
% 0.21/0.29 % (3156680)------------------------------
% 0.21/0.29 % (3156680)------------------------------
% 0.21/0.29 % (3156679)...printing done.
% 0.21/0.29 % (3156675)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% 0.21/0.29 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.29 thf(func_def_1, type, sK0: ((($i > $i) > $i > $i) > $i > $i)).
% 0.21/0.29 thf(func_def_2, type, sK1: ((($i > $i) > $i > $i) > $i)).
% 0.21/0.29 thf(func_def_3, type, db0: !>[X0: $tType]:(X0)).
% 0.21/0.29 thf(func_def_4, type, db1: !>[X0: $tType]:(X0)).
% 0.21/0.29 thf(func_def_5, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.21/0.29 thf(func_def_6, type, db2: !>[X0: $tType]:(X0)).
% 0.21/0.29 thf(f1,conjecture,(
% 0.21/0.29 ? [X0 : (($i > $i) > $i > $i)] : ! [X1 : ($i > $i)] : (((X0 @ X1)) = X1)),
% 0.21/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim)).
% 0.21/0.29 thf(f2,negated_conjecture,(
% 0.21/0.29 ~ ? [X0 : (($i > $i) > $i > $i)] : ! [X1 : ($i > $i)] : (((X0 @ X1)) = X1)),
% 0.21/0.29 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.29 thf(f3,plain,(
% 0.21/0.29 ! [X0 : (($i > $i) > $i > $i)] : ? [X1 : ($i > $i)] : (((X0 @ X1)) != X1)),
% 0.21/0.29 inference(ennf_transformation,[],[f2])).
% 0.21/0.29 thf(f4,plain,(
% 0.21/0.29 ! [X0 : (($i > $i) > $i > $i)] : (((X0 @ (sK0 @ X0))) != ((sK0 @ X0)))),
% 0.21/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f3])).
% 0.21/0.29 thf(f5,plain,(
% 0.21/0.29 ( ! [X0 : (($i > $i) > $i > $i)] : ((((X0 @ (sK0 @ X0))) != ((sK0 @ X0)))) )),
% 0.21/0.29 inference(cnf_transformation,[],[f4])).
% 0.21/0.29 thf(f6,plain,(
% 0.21/0.29 ( ! [X0 : (($i > $i) > $i > $i)] : ((((sK0 @ X0 @ (sK1 @ X0))) != ((X0 @ (sK0 @ X0) @ (sK1 @ X0))))) )),
% 0.21/0.29 inference(negative_extensionality,[],[f5])).
% 0.21/0.29 thf(f7,plain,(
% 0.21/0.29 ((^[Y0 : $i > $i]: ((^[Y1 : $i]: (Y0 @ ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) != (^[Y0 : $i > $i]: (Y0)))),
% 0.21/0.29 inference(equality_resolution,[],[f6])).
% 0.21/0.29 thf(f14,plain,(
% 0.21/0.29 ((^[Y0 : $i > $i]: (Y0)) != (^[Y0 : $i > $i]: (Y0)))),
% 0.21/0.29 inference(beta-eta_normalization,[],[f7])).
% 0.21/0.29 thf(f15,plain,(
% 0.21/0.29 $false),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f14])).
% 0.21/0.29 % SZS output end Proof for theBenchmark
% 0.21/0.29 % (3156675)------------------------------
% 0.21/0.29 % (3156675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3156675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3156675)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3156675)Termination reason: Refutation
% 0.21/0.29 % (3156675)Time elapsed: 0.002 s
% 0.21/0.29 % (3156675)Peak memory usage: 12 MB
% 0.21/0.29 % (3156675)Instructions burned: 2 (million)
% 0.21/0.29 % (3156660)Success in time 0.038 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------