0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.37	% Computer : n009.cluster.edu
0.11/0.37	% Model    : x86_64 x86_64
0.11/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.37	% Memory   : 8046.5625MB
0.11/0.37	% OS       : Linux 6.8.0-71-generic
0.11/0.38	% CPULimit : 1440
0.11/0.38	% WCLimit  : 180
0.11/0.38	% DateTime : Mon Jul 27 09:55:58 UTC 2026
0.11/0.38	% CPUTime  : 
0.11/0.38	Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.41	Running higher-order theorem proving
0.11/0.43	Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.18/0.48	% (958293)Detected a higher-order problem, will run a greedy HOL sequence.
0.18/0.48	% (958298)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4147496018:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi)
0.18/0.48	% (958300)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2770081433:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi)
0.18/0.48	% (958299)lrs+10_16_si=on:nwc=1.5:random_seed=1559790525:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi)
0.18/0.48	% (958302)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2049535721:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi)
0.18/0.48	% (958301)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=1534274766: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)
0.18/0.48	% (958300)Instruction limit reached! 
0.18/0.48	% (958300)------------------------------
0.18/0.48	% (958300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.18/0.48	% (958300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.18/0.48	% (958300)CaDiCaL version: 2.1.3
0.18/0.48	% (958300)Termination reason: Instruction limit
0.18/0.48	% (958300)Termination phase: Property scanning
0.18/0.48	% (958300)Time elapsed: 0.002 s
0.18/0.48	% (958300)Peak memory usage: 9 MB
0.18/0.48	% (958300)Instructions burned: 4 (million)
0.18/0.48	% (958304)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
0.18/0.48	% (958304)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
0.18/0.48	% (958303)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2996140673:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi)
0.18/0.48	% (958299)Instruction limit reached! 
0.18/0.48	% (958299)------------------------------
0.18/0.48	% (958299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.18/0.48	% (958299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.18/0.48	% (958299)CaDiCaL version: 2.1.3
0.18/0.48	% (958299)Termination reason: Instruction limit
0.18/0.48	% (958299)Termination phase: Saturation
0.18/0.48	% (958299)Time elapsed: 0.008 s
0.18/0.48	% (958299)Peak memory usage: 11 MB
0.18/0.48	% (958299)Instructions burned: 18 (million)
0.18/0.48	% (958302) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-958293-958302"...
0.18/0.48	% (958304)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=3854323293:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi)
0.18/0.48	% (958302)...printing done.
0.18/0.48	% (958301) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-958293-958301"...
0.18/0.48	% (958302)Refutation found. Thanks to Tanya!
0.18/0.48	% SZS status Theorem for theBenchmark
0.18/0.48	% SZS output start Proof for theBenchmark
0.18/0.49	thf(type_def_5, type, del: $tType).
0.18/0.49	thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
0.18/0.49	thf(func_def_0, type, bool: del).
0.18/0.49	thf(func_def_1, type, ind: del).
0.18/0.49	thf(func_def_2, type, arr: (del > del > del)).
0.18/0.49	thf(func_def_3, type, mem: ($i > del > $o)).
0.18/0.49	thf(func_def_4, type, ap: ($i > $i > $i)).
0.18/0.49	thf(func_def_5, type, lam: (del > ($i > $i) > $i)).
0.18/0.49	thf(func_def_6, type, p: ($i > $o)).
0.18/0.49	thf(func_def_7, type, inj__o: ($o > $i)).
0.18/0.49	thf(func_def_10, type, c_2Ecardinal_2Ecardleq: (del > del > $i)).
0.18/0.49	thf(func_def_16, type, c_2Emin_2E_3D: (del > $i)).
0.18/0.49	thf(func_def_17, type, c_2Ebool_2E_21: (del > $i)).
0.18/0.49	thf(func_def_20, type, sP0: ($i > $i > $o)).
0.18/0.49	thf(func_def_21, type, sP1: ($i > $i > $o)).
0.18/0.49	thf(func_def_22, type, sP2: ($i > $i > $i > $o)).
0.18/0.49	thf(func_def_23, type, sP3: ($i > $i > $i > $o)).
0.18/0.49	thf(func_def_24, type, sP4: ($i > $i > $i > $o)).
0.18/0.49	thf(func_def_25, type, sP5: ($i > $i > $i > $o)).
0.18/0.49	thf(func_def_26, type, sP6: ($i > $i > $i > $o)).
0.18/0.49	thf(func_def_27, type, sK7: ($i > del > $i)).
0.18/0.49	thf(func_def_28, type, sK8: del).
0.18/0.49	thf(func_def_29, type, sK9: del).
0.18/0.49	thf(func_def_32, type, sK12: ($i > del > $i)).
0.18/0.49	thf(func_def_33, type, sK13: ($i > $i > del > $i)).
0.18/0.49	thf(func_def_34, type, sK14: (del > ($i > $i) > del > $i)).
0.18/0.49	thf(func_def_35, type, vNOT: ($o > $o)).
0.18/0.49	thf(f10,conjecture,(
0.18/0.49	  ! [X2 : $i,X1 : del,X0 : del] : ((mem @ X2 @ (arr @ X0 @ bool)) => ! [X3 : $i] : ((mem @ X3 @ (arr @ X1 @ bool)) => (~(p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X0 @ X1) @ X2) @ X3)) <=> ~(p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X0 @ X1) @ X2) @ X3)))))),
0.18/0.49	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecardinal_2ECARD__NOT__LE)).
0.18/0.49	thf(f11,negated_conjecture,(
0.18/0.49	  ~ ! [X2 : $i,X1 : del,X0 : del] : ((mem @ X2 @ (arr @ X0 @ bool)) => ! [X3 : $i] : ((mem @ X3 @ (arr @ X1 @ bool)) => (~(p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X0 @ X1) @ X2) @ X3)) <=> ~(p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X0 @ X1) @ X2) @ X3)))))),
0.18/0.49	  inference(negated_conjecture,[status(cth)],[f10])).
0.18/0.49	thf(f108,plain,(
0.18/0.49	  ~ ! [X0 : $i,X1 : del,X2 : del] : ((mem @ X0 @ (arr @ X2 @ bool)) => ! [X3 : $i] : ((mem @ X3 @ (arr @ X1 @ bool)) => (~(p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)) <=> ~(p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))))),
0.18/0.49	  inference(rectify,[],[f11])).
0.18/0.49	thf(f109,plain,(
0.18/0.49	  ~ ! [X0 : $i,X1 : del,X2 : del] : (($true = ((mem @ X0 @ (arr @ X2 @ bool)))) => ! [X3 : $i] : ((((mem @ X3 @ (arr @ X1 @ bool))) = $true) => (~ ($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))) <=> ~ ($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))))))),
0.18/0.49	  inference(fool_elimination,[],[f108])).
0.18/0.49	thf(f135,plain,(
0.18/0.49	  ~ ! [X2 : del,X0 : $i,X1 : del] : (($true = ((mem @ X0 @ (arr @ X2 @ bool)))) => ! [X3 : $i] : ((((mem @ X3 @ (arr @ X1 @ bool))) = $true) => (($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))) <=> ($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))))))),
0.18/0.49	  inference(flattening,[],[f109])).
0.18/0.49	thf(f146,plain,(
0.18/0.49	  ? [X1 : del,X2 : del,X0 : $i] : (? [X3 : $i] : ((((mem @ X3 @ (arr @ X1 @ bool))) = $true) & (($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))) <~> ($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))))) & ($true = ((mem @ X0 @ (arr @ X2 @ bool)))))),
0.18/0.49	  inference(ennf_transformation,[],[f135])).
0.18/0.49	thf(f191,plain,(
0.18/0.49	  ? [X1 : del,X2 : del,X0 : $i] : (? [X3 : $i] : ((((mem @ X3 @ (arr @ X1 @ bool))) = $true) & ((($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))) | ($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3))))) & (($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))) | ($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3))))))) & ($true = ((mem @ X0 @ (arr @ X2 @ bool)))))),
0.18/0.49	  inference(nnf_transformation,[],[f146])).
0.18/0.49	thf(f192,plain,(
0.18/0.49	  ? [X1 : del,X2 : del,X0 : $i] : (? [X3 : $i] : ((((mem @ X3 @ (arr @ X1 @ bool))) = $true) & (($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))) | ($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3))))) & (($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))) | ($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X2 @ X1) @ X0) @ X3)))))) & ($true = ((mem @ X0 @ (arr @ X2 @ bool)))))),
0.18/0.49	  inference(flattening,[],[f191])).
0.18/0.49	thf(f193,plain,(
0.18/0.49	  ? [X0 : del,X1 : del,X2 : $i] : (? [X3 : $i] : (($true = ((mem @ X3 @ (arr @ X0 @ bool)))) & ((((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X1 @ X0) @ X2) @ X3))) = $true) | (((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X1 @ X0) @ X2) @ X3))) = $true)) & ((((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X1 @ X0) @ X2) @ X3))) != $true) | (((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X1 @ X0) @ X2) @ X3))) != $true))) & (((mem @ X2 @ (arr @ X1 @ bool))) = $true))),
0.18/0.49	  inference(rectify,[],[f192])).
0.18/0.49	thf(f194,plain,(
0.18/0.49	  ((((mem @ sK11 @ (arr @ sK8 @ bool))) = $true) & (($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11)))) | ($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11))))) & (($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11)))) | ($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11)))))) & (((mem @ sK10 @ (arr @ sK9 @ bool))) = $true)),
0.18/0.49	  inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11)],[f193])).
0.18/0.49	thf(f266,plain,(
0.18/0.49	  ($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11)))) | ($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11))))),
0.18/0.49	  inference(cnf_transformation,[],[f194])).
0.18/0.49	thf(f267,plain,(
0.18/0.49	  ($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11)))) | ($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11))))),
0.18/0.49	  inference(cnf_transformation,[],[f194])).
0.18/0.49	thf(f342,plain,(
0.18/0.49	  ($true != ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11))))),
0.18/0.49	  inference(duplicate_literal_removal,[],[f266])).
0.18/0.49	thf(f343,plain,(
0.18/0.49	  ($true = ((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ sK9 @ sK8) @ sK10) @ sK11))))),
0.18/0.49	  inference(duplicate_literal_removal,[],[f267])).
0.18/0.49	thf(f352,plain,(
0.18/0.49	  $false),
0.18/0.49	  inference(forward_subsumption_resolution,[],[f343,f342])).
0.18/0.49	% SZS output end Proof for theBenchmark
0.18/0.49	% (958302)------------------------------
0.18/0.49	% (958302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.18/0.49	% (958302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.18/0.49	% (958302)CaDiCaL version: 2.1.3
0.18/0.49	% (958302)Termination reason: Refutation
0.18/0.49	% (958302)Time elapsed: 0.010 s
0.18/0.49	% (958302)Peak memory usage: 11 MB
0.18/0.49	% (958302)Instructions burned: 21 (million)
0.18/0.49	% (958293)Success in time 0.045 s
0.18/0.49	% Vampire exiting
0.18/0.49	EOF