0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.10/0.36	% Computer : n004.cluster.edu
0.10/0.36	% Model    : x86_64 x86_64
0.10/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.36	% Memory   : 8046.5625MB
0.10/0.36	% OS       : Linux 6.8.0-71-generic
0.10/0.36	% CPULimit : 1440
0.10/0.36	% WCLimit  : 180
0.10/0.36	% DateTime : Mon Jul 27 11:57:39 UTC 2026
0.10/0.37	% CPUTime  : 
0.10/0.37	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.10/0.40	Running higher-order theorem proving
0.10/0.41	Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.10/0.46	% (2969855)Detected a higher-order problem, will run a greedy HOL sequence.
0.10/0.46	% (2969861)lrs+10_16_si=on:nwc=1.5:random_seed=681741616:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi)
0.10/0.46	% (2969866)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
0.10/0.46	% (2969866)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
0.10/0.46	% (2969861)Instruction limit reached! 
0.10/0.46	% (2969861)------------------------------
0.10/0.46	% (2969861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.10/0.46	% (2969861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.10/0.46	% (2969861)CaDiCaL version: 2.1.3
0.10/0.46	% (2969861)Termination reason: Instruction limit
0.10/0.46	% (2969861)Termination phase: Saturation
0.10/0.46	% (2969861)Time elapsed: 0.006 s
0.10/0.46	% (2969861)Peak memory usage: 12 MB
0.10/0.46	% (2969861)Instructions burned: 20 (million)
0.10/0.46	% (2969860)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4281547080:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi)
0.10/0.46	% (2969862)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2795943093:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi)
0.10/0.46	% (2969864)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2701349771:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi)
0.10/0.46	% (2969863)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=2145731706: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_1799 on theBenchmark for (1799ds/634Mi)
0.10/0.46	% (2969860)Refutation not found, incomplete strategy
0.10/0.46	% (2969860)------------------------------
0.10/0.46	% (2969860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.10/0.46	% (2969860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.10/0.46	% (2969860)CaDiCaL version: 2.1.3
0.10/0.46	% (2969860)Termination reason: Refutation not found, incomplete strategy
0.10/0.46	% (2969860)Time elapsed: 0.001 s
0.10/0.46	% (2969860)Peak memory usage: 12 MB
0.10/0.46	% (2969866)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=2614351817:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi)
0.10/0.46	% (2969864)Refutation not found, incomplete strategy
0.10/0.46	% (2969864)------------------------------
0.10/0.46	% (2969864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.10/0.46	% (2969862) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2969855-2969862"...
0.10/0.46	% (2969864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.10/0.46	% (2969864)CaDiCaL version: 2.1.3
0.10/0.46	% (2969864)Termination reason: Refutation not found, incomplete strategy
0.10/0.46	% (2969864)Time elapsed: 0.001 s
0.10/0.46	% (2969864)Peak memory usage: 12 MB
0.10/0.46	% (2969860)------------------------------
0.10/0.46	% (2969860)------------------------------
0.10/0.46	% (2969863) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2969855-2969863"...
0.10/0.46	% (2969864)------------------------------
0.10/0.46	% (2969864)------------------------------
0.10/0.46	% (2969862)...printing done.
0.10/0.46	% (2969863)...printing done.
0.10/0.46	% (2969862)Refutation found. Thanks to Tanya!
0.10/0.46	% SZS status Theorem for theBenchmark
0.10/0.46	% SZS output start Proof for theBenchmark
0.10/0.46	thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
0.10/0.46	thf(func_def_0, type, f: ($i > $i)).
0.10/0.46	thf(func_def_2, type, sK0: (($i > $i) > $i)).
0.10/0.46	thf(func_def_3, type, db0: !>[X0: $tType]:(X0)).
0.10/0.46	thf(func_def_4, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
0.10/0.46	thf(func_def_5, type, inv_f_1: ($i > $i)).
0.10/0.46	thf(f1,axiom,(
0.10/0.46	  ! [X0 : $i,X1 : $i] : ((((f @ X0)) = ((f @ X1))) => (X0 = X1))),
0.10/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finj)).
0.10/0.46	thf(f2,conjecture,(
0.10/0.46	  ? [X0 : ($i > $i)] : ! [X1 : $i] : (((X0 @ (f @ X1))) = X1)),
0.10/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invexists)).
0.10/0.46	thf(f3,negated_conjecture,(
0.10/0.46	  ~ ? [X0 : ($i > $i)] : ! [X1 : $i] : (((X0 @ (f @ X1))) = X1)),
0.10/0.46	  inference(negated_conjecture,[status(cth)],[f2])).
0.10/0.46	thf(f4,plain,(
0.10/0.46	  ! [X0 : $i,X1 : $i] : ((((f @ X0)) = ((f @ X1))) => (X0 = X1))),
0.10/0.46	  inference(fool_elimination,[],[f1])).
0.10/0.46	thf(f5,plain,(
0.10/0.46	  ~ ? [X0 : ($i > $i)] : ! [X1 : $i] : (((X0 @ (f @ X1))) = X1)),
0.10/0.46	  inference(fool_elimination,[],[f3])).
0.10/0.46	thf(f6,plain,(
0.10/0.46	  ! [X1 : $i,X0 : $i] : ((((f @ X0)) != ((f @ X1))) | (X0 = X1))),
0.10/0.46	  inference(ennf_transformation,[],[f4])).
0.10/0.46	thf(f7,plain,(
0.10/0.46	  ! [X0 : ($i > $i)] : ? [X1 : $i] : (((X0 @ (f @ X1))) != X1)),
0.10/0.46	  inference(ennf_transformation,[],[f5])).
0.10/0.46	thf(f8,plain,(
0.10/0.46	  ! [X0 : ($i > $i)] : (((sK0 @ X0)) != ((X0 @ (f @ (sK0 @ X0)))))),
0.10/0.46	  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f7])).
0.10/0.46	thf(f9,plain,(
0.10/0.46	  ! [X0 : $i,X1 : $i] : ((((f @ X0)) != ((f @ X1))) | (X0 = X1))),
0.10/0.46	  inference(rectify,[],[f6])).
0.10/0.46	thf(f10,plain,(
0.10/0.46	  ( ! [X0 : ($i > $i)] : ((((sK0 @ X0)) != ((X0 @ (f @ (sK0 @ X0)))))) )),
0.10/0.46	  inference(cnf_transformation,[],[f8])).
0.10/0.46	thf(f11,plain,(
0.10/0.46	  ( ! [X0 : $i,X1 : $i] : ((((f @ X0)) != ((f @ X1))) | (X0 = X1)) )),
0.10/0.46	  inference(cnf_transformation,[],[f9])).
0.10/0.46	thf(f14,plain,(
0.10/0.46	  ( ! [X0 : $i] : ((((inv_f_1 @ (f @ X0))) = X0)) )),
0.10/0.46	  inference(injectivity,[],[f11])).
0.10/0.46	thf(f16,plain,(
0.10/0.46	  (((sK0 @ inv_f_1)) != ((sK0 @ inv_f_1)))),
0.10/0.46	  inference(constrained_superposition,[],[f10,f14])).
0.10/0.46	thf(f17,plain,(
0.10/0.46	  $false),
0.10/0.46	  inference(trivial_inequality_removal,[],[f16])).
0.10/0.46	% SZS output end Proof for theBenchmark
0.10/0.46	% (2969862)------------------------------
0.10/0.46	% (2969862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.10/0.46	% (2969862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.10/0.46	% (2969862)CaDiCaL version: 2.1.3
0.10/0.46	% (2969862)Termination reason: Refutation
0.10/0.46	% (2969862)Time elapsed: 0.002 s
0.10/0.46	% (2969862)Peak memory usage: 12 MB
0.10/0.46	% (2969862)Instructions burned: 1 (million)
0.10/0.46	% (2969855)Success in time 0.035 s
0.10/0.46	% Vampire exiting
0.33/0.46	EOF