0.04/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.10	% Command    : run_vampire %s %d
0.08/0.30	% Computer   : n013.cluster.edu
0.08/0.30	% Model      : x86_64 x86_64
0.08/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.30	% Memory     : 8042.1875MB
0.08/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.08/0.30	% CPULimit   : 960
0.08/0.30	% WCLimit    : 120
0.08/0.30	% DateTime   : Thu Jul  2 07:10:50 EDT 2020
0.08/0.30	% CPUTime    : 
0.13/0.32	% (5516)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=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
0.13/0.32	% (5514)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.13/0.33	% (5517)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=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
0.13/0.33	% (5515)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=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
0.13/0.33	% (5512)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.13/0.33	% (5518)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=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
0.13/0.34	% (5538)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark
0.13/0.34	% (5536)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark
0.13/0.35	% (5527)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
0.13/0.35	% (5514)Refutation found. Thanks to Tanya!
0.13/0.35	% SZS status Theorem for theBenchmark
0.13/0.35	% SZS output start Proof for theBenchmark
0.13/0.35	tff(func_def_0, type, 'type/realax/real': '$tType').
0.13/0.35	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
0.13/0.35	tff(func_def_5, type, 'const/realax/real_mul': 'type/realax/real' -> 'type/realax/real' -> 'type/realax/real').
0.13/0.35	tff(func_def_6, type, 'const/iterate/polynomial_function': ('type/realax/real' -> 'type/realax/real') -> '$o').
0.13/0.35	tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.13/0.35	tff(func_def_8, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.13/0.35	tff(func_def_11, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.13/0.35	tff(func_def_12, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.13/0.35	tff(func_def_13, type, sK0: 'type/realax/real' -> 'type/realax/real').
0.13/0.35	tff(func_def_14, type, sK1: 'type/realax/real').
0.13/0.35	tff(func_def_16, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.13/0.35	tff(func_def_17, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.13/0.35	tff(func_def_18, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.13/0.35	tff(func_def_19, type, sK3: 'type/realax/real').
0.13/0.35	tff(func_def_20, type, sK4: 'type/realax/real' -> 'type/realax/real').
0.13/0.35	tff(f1,axiom,(
0.13/0.35	  ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : 'const/realax/real_mul' @ X0 @ X1 = 'const/realax/real_mul' @ X1 @ X0),
0.13/0.35	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/REAL_MUL_SYM_')).
0.13/0.35	tff(f2,conjecture,(
0.13/0.35	  ! [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : ('const/iterate/polynomial_function' @ X0 => 'const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : 'const/realax/real_mul' @ (X0 @ X2) @ X1))),
0.13/0.35	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_RMUL_')).
0.13/0.35	tff(f3,negated_conjecture,(
0.13/0.35	  ~! [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : ('const/iterate/polynomial_function' @ X0 => 'const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : 'const/realax/real_mul' @ (X0 @ X2) @ X1))),
0.13/0.35	  inference(negated_conjecture,[],[f2])).
0.13/0.35	tff(f4,axiom,(
0.13/0.35	  ! [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : ('const/iterate/polynomial_function' @ X0 => 'const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : 'const/realax/real_mul' @ X1 @ (X0 @ X2)))),
0.13/0.35	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_LMUL_')).
0.13/0.35	tff(f5,plain,(
0.13/0.35	  ~! [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : ('const/iterate/polynomial_function' @ X0 => 'const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : 'const/realax/real_mul' @ (X0 @ X2) @ X1))),
0.13/0.35	  inference(rectify,[],[f3])).
0.13/0.35	tff(f6,plain,(
0.13/0.35	  ~! [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0 = $true) => ('const/iterate/polynomial_function' @ (cCOMB @ (bCOMB @ 'const/realax/real_mul' @ X0) @ X1) = $true))),
0.13/0.35	  inference(fool_elimination,[],[f5])).
0.13/0.35	tff(f7,plain,(
0.13/0.35	  ! [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : ('const/iterate/polynomial_function' @ X0 => 'const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : 'const/realax/real_mul' @ X1 @ (X0 @ X2)))),
0.13/0.35	  inference(rectify,[],[f4])).
0.13/0.35	tff(f8,plain,(
0.13/0.35	  ! [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0 = $true) => ('const/iterate/polynomial_function' @ (bCOMB @ ('const/realax/real_mul' @ X1) @ X0) = $true))),
0.13/0.35	  inference(fool_elimination,[],[f7])).
0.13/0.35	tff(f9,plain,(
0.13/0.35	  ? [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ (cCOMB @ (bCOMB @ 'const/realax/real_mul' @ X0) @ X1) != $true) & ('const/iterate/polynomial_function' @ X0 = $true))),
0.13/0.35	  inference(ennf_transformation,[],[f6])).
0.13/0.35	tff(f10,plain,(
0.13/0.35	  ! [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ (bCOMB @ ('const/realax/real_mul' @ X1) @ X0) = $true) | ('const/iterate/polynomial_function' @ X0 != $true))),
0.13/0.35	  inference(ennf_transformation,[],[f8])).
0.13/0.35	tff(f11,plain,(
0.13/0.35	  ? [X0 : 'type/realax/real' -> 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ (cCOMB @ (bCOMB @ 'const/realax/real_mul' @ X0) @ X1) != $true) & ('const/iterate/polynomial_function' @ X0 = $true)) => (('const/iterate/polynomial_function' @ (cCOMB @ (bCOMB @ 'const/realax/real_mul' @ sK0) @ sK1) != $true) & ('const/iterate/polynomial_function' @ sK0 = $true))),
0.13/0.35	  introduced(choice_axiom,[])).
0.13/0.35	tff(f12,plain,(
0.13/0.35	  ('const/iterate/polynomial_function' @ (cCOMB @ (bCOMB @ 'const/realax/real_mul' @ sK0) @ sK1) != $true) & ('const/iterate/polynomial_function' @ sK0 = $true)),
0.13/0.35	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11])).
0.13/0.35	tff(f13,plain,(
0.13/0.35	  ('const/iterate/polynomial_function' @ sK0 = $true)),
0.13/0.35	  inference(cnf_transformation,[],[f12])).
0.13/0.35	tff(f14,plain,(
0.13/0.35	  ('const/iterate/polynomial_function' @ (cCOMB @ (bCOMB @ 'const/realax/real_mul' @ sK0) @ sK1) != $true)),
0.13/0.35	  inference(cnf_transformation,[],[f12])).
0.13/0.35	tff(f15,plain,(
0.13/0.35	  ( ! [X0:'type/realax/real' -> 'type/realax/real',X1:'type/realax/real'] : (('const/iterate/polynomial_function' @ X0 != $true) | ('const/iterate/polynomial_function' @ (bCOMB @ ('const/realax/real_mul' @ X1) @ X0) = $true)) )),
0.13/0.35	  inference(cnf_transformation,[],[f10])).
0.13/0.35	tff(f16,plain,(
0.13/0.35	  ( ! [X0:'type/realax/real',X1:'type/realax/real'] : ('const/realax/real_mul' @ X0 @ X1 = 'const/realax/real_mul' @ X1 @ X0) )),
0.13/0.35	  inference(cnf_transformation,[],[f1])).
0.13/0.35	tff(f18,plain,(
0.13/0.35	  ( ! [X0:'type/realax/real'] : (($true != $true) | ('const/iterate/polynomial_function' @ (bCOMB @ ('const/realax/real_mul' @ X0) @ sK0) = $true)) )),
0.13/0.35	  inference(superposition,[],[f15,f13])).
0.13/0.35	tff(f19,plain,(
0.13/0.35	  ( ! [X0:'type/realax/real'] : (('const/iterate/polynomial_function' @ (bCOMB @ ('const/realax/real_mul' @ X0) @ sK0) = $true)) )),
0.13/0.35	  inference(trivial_inequality_removal,[],[f18])).
0.13/0.35	tff(f20,plain,(
0.13/0.35	  ($true != $true) | ('const/iterate/polynomial_function' @ (cCOMB @ (bCOMB @ 'const/realax/real_mul' @ sK0) @ sK1) = $false)),
0.13/0.35	  inference(fool_paramodulation,[],[f14])).
0.13/0.35	tff(f23,plain,(
0.13/0.35	  ('const/iterate/polynomial_function' @ (cCOMB @ (bCOMB @ 'const/realax/real_mul' @ sK0) @ sK1) = $false)),
0.13/0.35	  inference(trivial_inequality_removal,[],[f20])).
0.13/0.35	tff(f33,plain,(
0.13/0.35	  ( ! [X0:'type/realax/real'] : (($false = $true) | bCOMB @ ('const/realax/real_mul' @ X0) @ sK0 != cCOMB @ (bCOMB @ 'const/realax/real_mul' @ sK0) @ sK1) )),
0.13/0.35	  inference(superposition,[],[f23,f19])).
0.13/0.35	tff(f39,plain,(
0.13/0.35	  ( ! [X0:'type/realax/real'] : (bCOMB @ ('const/realax/real_mul' @ X0) @ sK0 != cCOMB @ (bCOMB @ 'const/realax/real_mul' @ sK0) @ sK1) )),
0.13/0.35	  inference(trivial_inequality_removal,[],[f33])).
0.13/0.35	tff(f48,plain,(
0.13/0.35	  ( ! [X0:'type/realax/real'] : (bCOMB @ ('const/realax/real_mul' @ X0) @ sK0 @ (sK4 @ X0) != cCOMB @ (bCOMB @ 'const/realax/real_mul' @ sK0) @ sK1 @ (sK4 @ X0)) )),
0.13/0.35	  inference(negative_extensionality,[],[f39])).
0.13/0.35	tff(f49,plain,(
0.13/0.35	  ( ! [X0:'type/realax/real'] : ('const/realax/real_mul' @ (sK0 @ (sK4 @ X0)) @ sK1 != 'const/realax/real_mul' @ X0 @ (sK0 @ (sK4 @ X0))) )),
0.13/0.35	  inference(combinator_demodulation,[],[f48])).
0.13/0.35	tff(f50,plain,(
0.13/0.35	  ( ! [X0:'type/realax/real'] : ('const/realax/real_mul' @ sK1 @ (sK0 @ (sK4 @ X0)) != 'const/realax/real_mul' @ X0 @ (sK0 @ (sK4 @ X0))) )),
0.13/0.35	  inference(superposition,[],[f49,f16])).
0.13/0.35	tff(f52,plain,(
0.13/0.35	  $false),
0.13/0.35	  inference(equality_resolution,[],[f50])).
0.13/0.35	% SZS output end Proof for theBenchmark
0.13/0.35	% (5514)------------------------------
0.13/0.35	% (5514)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.13/0.35	% (5514)Termination reason: Refutation
0.13/0.35	
0.13/0.35	% (5514)Memory used [KB]: 9722
0.13/0.35	% (5514)Time elapsed: 0.030 s
0.13/0.35	% (5514)------------------------------
0.13/0.35	% (5514)------------------------------
0.13/0.35	% (5526)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=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
0.13/0.35	% (5533)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
0.13/0.35	% (5511)Success in time 0.038 s
0.13/0.35	EOF