0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.35	% Computer : n029.cluster.edu
0.14/0.35	% Model    : x86_64 x86_64
0.14/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory   : 8042.1875MB
0.14/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 960
0.14/0.35	% WCLimit    : 120
0.14/0.36	% DateTime   : Tue Aug  9 04:30:54 EDT 2022
0.14/0.36	% CPUTime    : 
0.14/0.36	This is a THF_ problem
0.14/0.36	Running vampire --ignore_missing on --mode portfolio --schedule casc_hol_2020 -p tptp -om szs --cores 8 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.14/0.37	% (1403)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (1407)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
0.21/0.44	% (1408)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.21/0.44	% (1404)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.21/0.44	% (1406)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.21/0.44	% (1410)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark
0.21/0.44	% (1411)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.21/0.45	% (1408)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.45	% (1409)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark
0.21/0.45	% (1410)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.45	% (1406)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.21/0.45	% (1411)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.45	% (1405)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
3.89/0.93	% (1405)Time limit reached!
3.89/0.93	% (1405)------------------------------
3.89/0.93	% (1405)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
3.89/0.93	% (1405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
3.89/0.93	% (1405)Termination reason: Time limit
3.89/0.93	% (1405)Termination phase: Saturation
3.89/0.93	
3.89/0.93	% (1405)Memory used [KB]: 16886
3.89/0.93	% (1405)Time elapsed: 0.500 s
3.89/0.93	% (1405)------------------------------
3.89/0.93	% (1405)------------------------------
4.48/0.94	% (1407)Time limit reached!
4.48/0.94	% (1407)------------------------------
4.48/0.94	% (1407)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.48/0.94	% (1407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.48/0.94	% (1407)Termination reason: Time limit
4.48/0.94	% (1407)Termination phase: Saturation
4.48/0.94	
4.48/0.94	% (1407)Memory used [KB]: 20212
4.48/0.94	% (1407)Time elapsed: 0.500 s
4.48/0.94	% (1407)------------------------------
4.48/0.94	% (1407)------------------------------
4.48/0.94	% (1404)Time limit reached!
4.48/0.94	% (1404)------------------------------
4.48/0.94	% (1404)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.48/0.94	% (1404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.48/0.94	% (1404)Termination reason: Time limit
4.48/0.94	% (1404)Termination phase: Saturation
4.48/0.94	
4.48/0.94	% (1404)Memory used [KB]: 6268
4.48/0.94	% (1404)Time elapsed: 0.500 s
4.48/0.94	% (1404)------------------------------
4.48/0.94	% (1404)------------------------------
4.48/0.97	% (1412)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=on:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
4.71/0.97	% (1413)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=on:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
4.71/0.98	% (1414)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark
4.71/0.98	% (1412)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
4.71/0.98	% (1413)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
4.71/0.99	% (1413)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
4.71/1.04	% (1410)Time limit reached!
4.71/1.04	% (1410)------------------------------
4.71/1.04	% (1410)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.71/1.04	% (1410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.71/1.04	% (1410)Termination reason: Time limit
4.71/1.04	% (1410)Termination phase: Saturation
4.71/1.04	
4.71/1.04	% (1410)Memory used [KB]: 20724
4.71/1.04	% (1410)Time elapsed: 0.600 s
4.71/1.04	% (1410)------------------------------
4.71/1.04	% (1410)------------------------------
5.07/1.04	% (1406)Time limit reached!
5.07/1.04	% (1406)------------------------------
5.07/1.04	% (1406)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
5.07/1.04	% (1406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
5.07/1.04	% (1406)Termination reason: Time limit
5.07/1.04	% (1406)Termination phase: Saturation
5.07/1.04	
5.07/1.04	% (1406)Memory used [KB]: 16375
5.07/1.04	% (1406)Time elapsed: 0.600 s
5.07/1.04	% (1406)------------------------------
5.07/1.04	% (1406)------------------------------
5.07/1.07	% (1415)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
5.60/1.09	% (1416)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark
9.47/1.56	% (1416)Time limit reached!
9.47/1.56	% (1416)------------------------------
9.47/1.56	% (1416)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.47/1.56	% (1416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.47/1.56	% (1416)Termination reason: Time limit
9.47/1.56	% (1416)Termination phase: Saturation
9.47/1.56	
9.47/1.56	% (1416)Memory used [KB]: 9210
9.47/1.56	% (1416)Time elapsed: 0.500 s
9.47/1.56	% (1416)------------------------------
9.47/1.56	% (1416)------------------------------
9.47/1.57	% (1415)Time limit reached!
9.47/1.57	% (1415)------------------------------
9.47/1.57	% (1415)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.47/1.57	% (1415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.47/1.57	% (1415)Termination reason: Time limit
9.47/1.57	% (1415)Termination phase: Saturation
9.47/1.57	
9.47/1.57	% (1415)Memory used [KB]: 18549
9.47/1.57	% (1415)Time elapsed: 0.500 s
9.47/1.57	% (1415)------------------------------
9.47/1.57	% (1415)------------------------------
9.47/1.58	% (1413)Time limit reached!
9.47/1.58	% (1413)------------------------------
9.47/1.58	% (1413)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.47/1.58	% (1413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.47/1.58	% (1413)Termination reason: Time limit
9.47/1.58	% (1413)Termination phase: Saturation
9.47/1.58	
9.47/1.58	% (1413)Memory used [KB]: 23027
9.47/1.58	% (1413)Time elapsed: 0.600 s
9.47/1.58	% (1413)------------------------------
9.47/1.58	% (1413)------------------------------
9.47/1.60	% (1417)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
9.47/1.60	% (1418)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark
9.47/1.61	% (1417)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
9.47/1.62	% (1419)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=none:gsp=on:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
9.47/1.63	% (1419)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
10.07/1.65	% (1418)First to succeed.
10.07/1.66	% (1418)Refutation found. Thanks to Tanya!
10.07/1.66	% SZS status Theorem for theBenchmark
10.07/1.66	% SZS output start Proof for theBenchmark
10.07/1.66	thf(type_def_5, type, nat: $tType).
10.07/1.66	thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
10.07/1.66	thf(type_def_7, type, list_P1467822637od_a_a: $tType).
10.07/1.66	thf(type_def_8, type, list_P1891567085od_a_a: $tType).
10.07/1.66	thf(type_def_9, type, list_a: $tType).
10.07/1.66	thf(type_def_10, type, list_P319927492_a_a_a: $tType).
10.07/1.66	thf(type_def_11, type, list_P1458844246od_a_a: $tType).
10.07/1.66	thf(func_def_0, type, list_P1891567085od_a_a: $tType).
10.07/1.66	thf(func_def_1, type, list_P1458844246od_a_a: $tType).
10.07/1.66	thf(func_def_2, type, list_P319927492_a_a_a: $tType).
10.07/1.66	thf(func_def_3, type, list_P1467822637od_a_a: $tType).
10.07/1.66	thf(func_def_4, type, list_a: $tType).
10.07/1.66	thf(func_def_5, type, nat: $tType).
10.07/1.66	thf(func_def_6, type, times_times_nat: nat > nat > nat).
10.07/1.66	thf(func_def_7, type, zero_zero_nat: nat).
10.07/1.66	thf(func_def_8, type, produc1055075589od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1891567085od_a_a).
10.07/1.66	thf(func_def_9, type, produc778776796_a_a_a: list_P1467822637od_a_a > list_a > list_P319927492_a_a_a).
10.07/1.66	thf(func_def_10, type, produc16441326od_a_a: list_a > list_P1467822637od_a_a > list_P1458844246od_a_a).
10.07/1.66	thf(func_def_11, type, product_a_a: list_a > list_a > list_P1467822637od_a_a).
10.07/1.66	thf(func_def_12, type, suc: nat > nat).
10.07/1.66	thf(func_def_13, type, size_s1052379225od_a_a: list_P1891567085od_a_a > nat).
10.07/1.66	thf(func_def_14, type, size_s736232240_a_a_a: list_P319927492_a_a_a > nat).
10.07/1.66	thf(func_def_15, type, size_s1875148994od_a_a: list_P1458844246od_a_a > nat).
10.07/1.66	thf(func_def_16, type, size_s642698393od_a_a: list_P1467822637od_a_a > nat).
10.07/1.66	thf(func_def_17, type, size_size_list_a: list_a > nat).
10.07/1.66	thf(func_def_18, type, ord_less_nat: nat > nat > $o).
10.07/1.66	thf(func_def_19, type, ord_less_eq_nat: nat > nat > $o).
10.07/1.66	thf(func_def_20, type, divide_divide_nat: nat > nat > nat).
10.07/1.66	thf(func_def_21, type, k: nat).
10.07/1.66	thf(func_def_22, type, n: nat).
10.07/1.66	thf(func_def_23, type, xs: list_a).
10.07/1.66	thf(func_def_25, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
10.07/1.66	thf(func_def_28, type, vIMP: $o > $o > $o).
10.07/1.66	thf(func_def_29, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
10.07/1.66	thf(func_def_30, type, vNOT: $o > $o).
10.07/1.66	thf(func_def_31, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
10.07/1.66	thf(func_def_32, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
10.07/1.66	thf(func_def_33, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
10.07/1.66	thf(func_def_34, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
10.07/1.66	thf(func_def_35, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
10.07/1.66	thf(func_def_36, type, vOR: $o > $o > $o).
10.07/1.66	thf(func_def_37, type, vAND: $o > $o > $o).
10.07/1.66	thf(func_def_38, type, sP0: (nat > nat > $o) > $o).
10.07/1.66	thf(func_def_39, type, sP1: nat > (nat > $o) > $o).
10.07/1.66	thf(func_def_40, type, sK2: (nat > nat > $o) > nat).
10.07/1.66	thf(func_def_41, type, sK3: (nat > nat > $o) > nat).
10.07/1.66	thf(func_def_42, type, sK4: (nat > nat > $o) > nat).
10.07/1.66	thf(func_def_43, type, sK5: (nat > nat > $o) > nat).
10.07/1.66	thf(func_def_44, type, sK6: nat > (nat > $o) > nat).
10.07/1.66	thf(func_def_45, type, sK7: (nat > $o) > nat > nat).
10.07/1.66	thf(func_def_46, type, sK8: (nat > nat) > nat).
10.07/1.66	thf(func_def_47, type, sK9: (nat > nat) > nat).
10.07/1.66	thf(func_def_48, type, sK10: (nat > nat > $o) > nat).
10.07/1.66	thf(func_def_49, type, sK11: (nat > nat > $o) > nat).
10.07/1.66	thf(func_def_50, type, sK12: (nat > nat > $o) > nat).
10.07/1.66	thf(func_def_51, type, sK13: (nat > nat > $o) > nat).
10.07/1.66	thf(func_def_52, type, sK14: nat > nat > nat).
10.07/1.66	thf(func_def_53, type, sK15: nat > nat > nat).
10.07/1.66	thf(func_def_54, type, sK16: (nat > $o) > nat).
10.07/1.66	thf(func_def_55, type, sK17: (nat > $o) > nat).
10.07/1.66	thf(func_def_56, type, sK18: (nat > $o) > nat).
10.07/1.66	thf(func_def_57, type, sK19: (nat > $o) > nat).
10.07/1.66	thf(func_def_58, type, sK20: (nat > $o) > nat).
10.07/1.66	thf(func_def_59, type, sK21: (nat > $o) > nat).
10.07/1.66	thf(func_def_60, type, sK22: nat > nat).
10.07/1.66	thf(func_def_61, type, sK23: (nat > $o) > nat).
10.07/1.66	thf(func_def_62, type, sK24: (list_a > $o) > list_a).
10.07/1.66	thf(func_def_63, type, sK25: nat > list_a).
10.07/1.66	thf(func_def_64, type, sK26: nat > nat).
10.07/1.66	thf(func_def_65, type, sK27: nat > nat).
10.07/1.66	thf(func_def_66, type, sK28: nat > nat).
10.07/1.66	thf(func_def_70, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
10.07/1.66	thf(func_def_71, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
10.07/1.66	thf(f1711,plain,(
10.07/1.66	  $false),
10.07/1.66	  inference(trivial_inequality_removal,[],[f1670])).
10.07/1.66	thf(f1670,plain,(
10.07/1.66	  (n != n)),
10.07/1.66	  inference(superposition,[],[f786,f1569])).
10.07/1.66	thf(f1569,plain,(
10.07/1.66	  (n = vAPP(nat,nat,suc,n))),
10.07/1.66	  inference(trivial_inequality_removal,[],[f1562])).
10.07/1.66	thf(f1562,plain,(
10.07/1.66	  ($true != $true) | (n = vAPP(nat,nat,suc,n))),
10.07/1.66	  inference(superposition,[],[f748,f1517])).
10.07/1.66	thf(f1517,plain,(
10.07/1.66	  ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,n),n)) | (n = vAPP(nat,nat,suc,n))),
10.07/1.66	  inference(superposition,[],[f1445,f683])).
10.07/1.66	thf(f683,plain,(
10.07/1.66	  (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,vAPP(list_a,nat,size_size_list_a,xs)),k) = vAPP(nat,nat,suc,n))),
10.07/1.66	  inference(cnf_transformation,[],[f35])).
10.07/1.66	thf(f35,axiom,(
10.07/1.66	  (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,vAPP(list_a,nat,size_size_list_a,xs)),k) = vAPP(nat,nat,suc,n))),
10.07/1.66	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
10.07/1.66	thf(f1445,plain,(
10.07/1.66	  (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,vAPP(list_a,nat,size_size_list_a,xs)),k) = n) | ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,n),n))),
10.07/1.66	  inference(global_subsumption,[],[f682,f1381])).
10.07/1.66	thf(f1381,plain,(
10.07/1.66	  (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,vAPP(list_a,nat,size_size_list_a,xs)),k) = n) | (zero_zero_nat = k) | ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,n),n))),
10.07/1.66	  inference(superposition,[],[f808,f1005])).
10.07/1.66	thf(f1005,plain,(
10.07/1.66	  (vAPP(list_a,nat,size_size_list_a,xs) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k)) | ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,n),n))),
10.07/1.66	  inference(trivial_inequality_removal,[],[f1004])).
10.07/1.66	thf(f1004,plain,(
10.07/1.66	  ($true != $true) | ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,n),n)) | (vAPP(list_a,nat,size_size_list_a,xs) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k))),
10.07/1.66	  inference(superposition,[],[f709,f908])).
10.07/1.66	thf(f908,plain,(
10.07/1.66	  ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,suc,n)),n)) | (vAPP(list_a,nat,size_size_list_a,xs) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k))),
10.07/1.66	  inference(trivial_inequality_removal,[],[f899])).
10.07/1.66	thf(f899,plain,(
10.07/1.66	  ($true != $true) | ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,suc,n)),n)) | (vAPP(list_a,nat,size_size_list_a,xs) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k))),
10.07/1.66	  inference(superposition,[],[f836,f852])).
10.07/1.66	thf(f852,plain,(
10.07/1.66	  ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(list_a,nat,size_size_list_a,xs)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k))) | (vAPP(list_a,nat,size_size_list_a,xs) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k))),
10.07/1.66	  inference(trivial_inequality_removal,[],[f851])).
10.07/1.66	thf(f851,plain,(
10.07/1.66	  ($true != $true) | ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(list_a,nat,size_size_list_a,xs)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k))) | (vAPP(list_a,nat,size_size_list_a,xs) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k))),
10.07/1.66	  inference(superposition,[],[f681,f744])).
10.07/1.66	thf(f744,plain,(
10.07/1.66	  ( ! [X0 : nat,X1 : nat] : ((vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X1),X0) = $true) | (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) = $true) | (X0 = X1)) )),
10.07/1.66	  inference(cnf_transformation,[],[f584])).
10.07/1.66	thf(f584,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : ((vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X1),X0) = $true) | (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) = $true) | (X0 = X1))),
10.07/1.66	  inference(flattening,[],[f583])).
10.07/1.66	thf(f583,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : (((vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X1),X0) = $true) | (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) = $true)) | (X0 = X1))),
10.07/1.66	  inference(ennf_transformation,[],[f467])).
10.07/1.66	thf(f467,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : ((X0 != X1) => ((vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) != $true) => (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X1),X0) = $true)))),
10.07/1.66	  inference(flattening,[],[f299])).
10.07/1.66	thf(f299,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : ((X0 != X1) => (~(vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) = $true) => (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X1),X0) = $true)))),
10.07/1.66	  inference(fool_elimination,[],[f298])).
10.07/1.66	thf(f298,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : ((X0 != X1) => (~vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X1),X0)))),
10.07/1.66	  inference(rectify,[],[f127])).
10.07/1.66	thf(f127,axiom,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : ((X0 != X1) => (~vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X1),X0)))),
10.07/1.66	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
10.07/1.66	thf(f681,plain,(
10.07/1.66	  (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k)),vAPP(list_a,nat,size_size_list_a,xs)) != $true)),
10.07/1.66	  inference(cnf_transformation,[],[f462])).
10.07/1.66	thf(f462,plain,(
10.07/1.66	  (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k)),vAPP(list_a,nat,size_size_list_a,xs)) != $true)),
10.07/1.66	  inference(flattening,[],[f190])).
10.07/1.66	thf(f190,plain,(
10.07/1.66	  ~(vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k)),vAPP(list_a,nat,size_size_list_a,xs)) = $true)),
10.07/1.66	  inference(fool_elimination,[],[f189])).
10.07/1.66	thf(f189,plain,(
10.07/1.66	  ~vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k)),vAPP(list_a,nat,size_size_list_a,xs))),
10.07/1.66	  inference(rectify,[],[f175])).
10.07/1.66	thf(f175,negated_conjecture,(
10.07/1.66	  ~vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k)),vAPP(list_a,nat,size_size_list_a,xs))),
10.07/1.66	  inference(negated_conjecture,[],[f174])).
10.07/1.66	thf(f174,conjecture,(
10.07/1.66	  vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,n),k)),vAPP(list_a,nat,size_size_list_a,xs))),
10.07/1.66	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
10.07/1.66	thf(f836,plain,(
10.07/1.66	  ( ! [X0 : nat] : (($true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(list_a,nat,size_size_list_a,xs)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X0),k))) | ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,suc,n)),X0))) )),
10.07/1.66	  inference(superposition,[],[f790,f683])).
10.07/1.66	thf(f790,plain,(
10.07/1.66	  ( ! [X2 : nat,X0 : nat,X1 : nat] : (($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,X0),X2)),X1)) | ($true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X1),X2)))) )),
10.07/1.66	  inference(cnf_transformation,[],[f603])).
10.07/1.66	thf(f603,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat,X2 : nat] : (($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,X0),X2)),X1)) | ($true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X1),X2))))),
10.07/1.66	  inference(ennf_transformation,[],[f455])).
10.07/1.66	thf(f455,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat,X2 : nat] : (($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X1),X2))) => ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,X0),X2)),X1)))),
10.07/1.66	  inference(fool_elimination,[],[f454])).
10.07/1.66	thf(f454,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat,X2 : nat] : (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X1),X2)) => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,X0),X2)),X1))),
10.07/1.66	  inference(rectify,[],[f12])).
10.07/1.66	thf(f12,axiom,(
10.07/1.66	  ! [X3 : nat,X6 : nat,X2 : nat] : (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X3),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X6),X2)) => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,X3),X2)),X6))),
10.07/1.66	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
10.07/1.66	thf(f709,plain,(
10.07/1.66	  ( ! [X0 : nat,X1 : nat] : (($true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,suc,X0)),X1)) | (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) = $true)) )),
10.07/1.66	  inference(cnf_transformation,[],[f542])).
10.07/1.66	thf(f542,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : ((vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) = $true) | ($true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,suc,X0)),X1)))),
10.07/1.66	  inference(ennf_transformation,[],[f377])).
10.07/1.66	thf(f377,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : (($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,suc,X0)),X1)) => (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1) = $true))),
10.07/1.66	  inference(fool_elimination,[],[f376])).
10.07/1.66	thf(f376,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,suc,X0)),X1) => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X1))),
10.07/1.66	  inference(rectify,[],[f24])).
10.07/1.66	thf(f24,axiom,(
10.07/1.66	  ! [X2 : nat,X3 : nat] : (vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(nat,nat,suc,X2)),X3) => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X2),X3))),
10.07/1.66	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
10.07/1.66	thf(f808,plain,(
10.07/1.66	  ( ! [X0 : nat,X1 : nat] : ((vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X1),X0)),X0) = X1) | (zero_zero_nat = X0)) )),
10.07/1.66	  inference(cnf_transformation,[],[f619])).
10.07/1.66	thf(f619,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : ((vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X1),X0)),X0) = X1) | (zero_zero_nat = X0))),
10.07/1.66	  inference(ennf_transformation,[],[f508])).
10.07/1.66	thf(f508,plain,(
10.07/1.66	  ! [X0 : nat,X1 : nat] : ((zero_zero_nat != X0) => (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X1),X0)),X0) = X1))),
10.07/1.66	  inference(rectify,[],[f117])).
10.07/1.66	thf(f117,axiom,(
10.07/1.66	  ! [X8 : nat,X7 : nat] : ((zero_zero_nat != X8) => (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times_nat,X7),X8)),X8) = X7))),
10.07/1.66	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
10.07/1.66	thf(f682,plain,(
10.07/1.66	  (zero_zero_nat != k)),
10.07/1.66	  inference(cnf_transformation,[],[f53])).
10.07/1.66	thf(f53,axiom,(
10.07/1.66	  (zero_zero_nat != k)),
10.07/1.66	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
10.07/1.66	thf(f748,plain,(
10.07/1.66	  ( ! [X0 : nat] : (($true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X0))) )),
10.07/1.66	  inference(cnf_transformation,[],[f469])).
10.07/1.66	thf(f469,plain,(
10.07/1.66	  ! [X0 : nat] : ($true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X0))),
10.07/1.66	  inference(flattening,[],[f247])).
10.07/1.66	thf(f247,plain,(
10.07/1.66	  ! [X0 : nat] : ~($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X0))),
10.07/1.66	  inference(fool_elimination,[],[f246])).
10.07/1.66	thf(f246,plain,(
10.07/1.66	  ! [X0 : nat] : ~vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X0),X0)),
10.07/1.66	  inference(rectify,[],[f183])).
10.07/1.66	thf(f183,axiom,(
10.07/1.66	  ! [X3 : nat] : ~vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,X3),X3)),
10.07/1.66	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
10.07/1.66	thf(f786,plain,(
10.07/1.66	  ( ! [X0 : nat] : ((vAPP(nat,nat,suc,X0) != X0)) )),
10.07/1.66	  inference(cnf_transformation,[],[f498])).
10.07/1.66	thf(f498,plain,(
10.07/1.66	  ! [X0 : nat] : (vAPP(nat,nat,suc,X0) != X0)),
10.07/1.66	  inference(rectify,[],[f115])).
10.07/1.66	thf(f115,axiom,(
10.07/1.66	  ! [X3 : nat] : (vAPP(nat,nat,suc,X3) != X3)),
10.07/1.66	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
10.07/1.66	% SZS output end Proof for theBenchmark
10.07/1.66	% (1418)------------------------------
10.07/1.66	% (1418)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
10.07/1.66	% (1418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
10.07/1.66	% (1418)Termination reason: Refutation
10.07/1.66	
10.07/1.66	% (1418)Memory used [KB]: 7164
10.07/1.66	% (1418)Time elapsed: 0.052 s
10.07/1.66	% (1418)------------------------------
10.07/1.66	% (1418)------------------------------
10.07/1.66	% (1403)Success in time 1.285 s
10.07/1.66	EOF