0.00/0.07 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_vampire %s %d 0.07/0.28 % Computer : n006.cluster.edu 0.07/0.28 % Model : x86_64 x86_64 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.07/0.28 % Memory : 8042.1875MB 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64 0.07/0.28 % CPULimit : 960 0.07/0.28 % WCLimit : 120 0.07/0.28 % DateTime : Thu Jul 2 07:15:30 EDT 2020 0.07/0.28 % CPUTime : 0.14/0.30 % (23337)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 0.14/0.32 % (23342)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 0.14/0.32 % (23343)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 0.14/0.32 % (23350)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=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 0.14/0.32 % (23348)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=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 0.14/0.32 % (23351)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=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 0.14/0.33 % (23361)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark 0.14/0.33 % (23354)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark 0.14/0.33 % (23345)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.14/0.33 % (23361)Refutation found. Thanks to Tanya! 0.14/0.33 % SZS status Theorem for theBenchmark 0.14/0.33 % SZS output start Proof for theBenchmark 0.14/0.33 tff(func_def_0, type, nat: '$tType'). 0.14/0.33 tff(func_def_4, type, x: nat). 0.14/0.33 tff(func_def_5, type, y: nat). 0.14/0.33 tff(func_def_6, type, z: nat). 0.14/0.33 tff(func_def_7, type, u: nat). 0.14/0.33 tff(func_def_8, type, ->: ('$tType' * '$tType') > '$tType'). 0.14/0.33 tff(func_def_9, type, some: (nat -> '$o') -> '$o'). 0.14/0.33 tff(func_def_10, type, diffprop: nat -> nat -> nat -> '$o'). 0.14/0.33 tff(func_def_11, type, pl: nat -> nat -> nat). 0.14/0.33 tff(func_def_12, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.14/0.33 tff(func_def_13, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.14/0.33 tff(func_def_17, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.14/0.33 tff(func_def_18, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.14/0.33 tff(func_def_19, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.14/0.33 tff(func_def_20, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.14/0.33 tff(func_def_21, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.14/0.33 tff(f1,axiom,( 0.14/0.33 some @ (^[X0 : nat] : diffprop @ x @ y @ X0)), 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m)). 0.14/0.33 tff(f2,axiom,( 0.14/0.33 some @ (^[X1 : nat] : diffprop @ z @ u @ X1)), 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n)). 0.14/0.33 tff(f3,axiom,( 0.14/0.33 ! [X2 : nat,X3 : nat] : pl @ X2 @ X3 = pl @ X3 @ X2), 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz6)). 0.14/0.33 tff(f4,axiom,( 0.14/0.33 ! [X2 : nat,X3 : nat,X4 : nat] : (some @ (^[X5 : nat] : diffprop @ X3 @ X2 @ X5) => (some @ (^[X5 : nat] : diffprop @ X4 @ X3 @ X5) => some @ (^[X5 : nat] : diffprop @ X4 @ X2 @ X5)))), 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz15)). 0.14/0.33 tff(f5,conjecture,( 0.14/0.33 some @ (^[X1 : nat] : diffprop @ (pl @ x @ z) @ (pl @ y @ u) @ X1)), 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz21)). 0.14/0.33 tff(f6,negated_conjecture,( 0.14/0.33 ~some @ (^[X1 : nat] : diffprop @ (pl @ x @ z) @ (pl @ y @ u) @ X1)), 0.14/0.33 inference(negated_conjecture,[],[f5])). 0.14/0.33 tff(f7,axiom,( 0.14/0.33 ! [X2 : nat,X3 : nat,X4 : nat] : (some @ (^[X0 : nat] : diffprop @ X2 @ X3 @ X0) => some @ (^[X0 : nat] : diffprop @ (pl @ X2 @ X4) @ (pl @ X3 @ X4) @ X0))), 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19a)). 0.14/0.33 tff(f8,plain,( 0.14/0.33 ~some @ (^[X0 : nat] : diffprop @ (pl @ x @ z) @ (pl @ y @ u) @ X0)), 0.14/0.33 inference(rectify,[],[f6])). 0.14/0.33 tff(f9,plain,( 0.14/0.33 ~(some @ (diffprop @ (pl @ x @ z) @ (pl @ y @ u)) = $true)), 0.14/0.33 inference(fool_elimination,[],[f8])). 0.14/0.33 tff(f10,plain,( 0.14/0.33 ! [X0 : nat,X1 : nat,X2 : nat] : (some @ (^[X3 : nat] : diffprop @ X1 @ X0 @ X3) => (some @ (^[X4 : nat] : diffprop @ X2 @ X1 @ X4) => some @ (^[X5 : nat] : diffprop @ X2 @ X0 @ X5)))), 0.14/0.33 inference(rectify,[],[f4])). 0.14/0.33 tff(f11,plain,( 0.14/0.33 ! [X0 : nat,X1 : nat,X2 : nat] : ((some @ (diffprop @ X1 @ X0) = $true) => ((some @ (diffprop @ X2 @ X1) = $true) => (some @ (diffprop @ X2 @ X0) = $true)))), 0.14/0.33 inference(fool_elimination,[],[f10])). 0.14/0.33 tff(f12,plain,( 0.14/0.33 ! [X0 : nat,X1 : nat,X2 : nat] : (some @ (^[X3 : nat] : diffprop @ X0 @ X1 @ X3) => some @ (^[X4 : nat] : diffprop @ (pl @ X0 @ X2) @ (pl @ X1 @ X2) @ X4))), 0.14/0.33 inference(rectify,[],[f7])). 0.14/0.33 tff(f13,plain,( 0.14/0.33 ! [X0 : nat,X1 : nat,X2 : nat] : ((some @ (diffprop @ X0 @ X1) = $true) => (some @ (diffprop @ (pl @ X0 @ X2) @ (pl @ X1 @ X2)) = $true))), 0.14/0.33 inference(fool_elimination,[],[f12])). 0.14/0.33 tff(f14,plain,( 0.14/0.33 some @ (^[X0 : nat] : diffprop @ z @ u @ X0)), 0.14/0.33 inference(rectify,[],[f2])). 0.14/0.33 tff(f15,plain,( 0.14/0.33 (some @ (diffprop @ z @ u) = $true)), 0.14/0.33 inference(fool_elimination,[],[f14])). 0.14/0.33 tff(f16,plain,( 0.14/0.33 some @ (^[X0 : nat] : diffprop @ x @ y @ X0)), 0.14/0.33 inference(rectify,[],[f1])). 0.14/0.33 tff(f17,plain,( 0.14/0.33 (some @ (diffprop @ x @ y) = $true)), 0.14/0.33 inference(fool_elimination,[],[f16])). 0.14/0.33 tff(f18,plain,( 0.14/0.33 (some @ (diffprop @ (pl @ x @ z) @ (pl @ y @ u)) != $true)), 0.14/0.33 inference(flattening,[],[f9])). 0.14/0.33 tff(f19,plain,( 0.14/0.33 ! [X0 : nat,X1 : nat] : pl @ X0 @ X1 = pl @ X1 @ X0), 0.14/0.33 inference(rectify,[],[f3])). 0.14/0.33 tff(f20,plain,( 0.14/0.33 ! [X0 : nat,X1 : nat,X2 : nat] : ((some @ (diffprop @ (pl @ X0 @ X2) @ (pl @ X1 @ X2)) = $true) | (some @ (diffprop @ X0 @ X1) != $true))), 0.14/0.33 inference(ennf_transformation,[],[f13])). 0.14/0.33 tff(f21,plain,( 0.14/0.33 ! [X0 : nat,X1 : nat,X2 : nat] : (((some @ (diffprop @ X2 @ X0) = $true) | (some @ (diffprop @ X2 @ X1) != $true)) | (some @ (diffprop @ X1 @ X0) != $true))), 0.14/0.33 inference(ennf_transformation,[],[f11])). 0.14/0.33 tff(f22,plain,( 0.14/0.33 ! [X0 : nat,X1 : nat,X2 : nat] : ((some @ (diffprop @ X2 @ X0) = $true) | (some @ (diffprop @ X2 @ X1) != $true) | (some @ (diffprop @ X1 @ X0) != $true))), 0.14/0.33 inference(flattening,[],[f21])). 0.14/0.33 tff(f23,plain,( 0.14/0.33 (some @ (diffprop @ (pl @ x @ z) @ (pl @ y @ u)) != $true)), 0.14/0.33 inference(cnf_transformation,[],[f18])). 0.14/0.33 tff(f24,plain,( 0.14/0.33 (some @ (diffprop @ x @ y) = $true)), 0.14/0.33 inference(cnf_transformation,[],[f17])). 0.14/0.33 tff(f25,plain,( 0.14/0.33 (some @ (diffprop @ z @ u) = $true)), 0.14/0.33 inference(cnf_transformation,[],[f15])). 0.14/0.33 tff(f26,plain,( 0.14/0.33 ( ! [X2:nat,X0:nat,X1:nat] : ((some @ (diffprop @ (pl @ X0 @ X2) @ (pl @ X1 @ X2)) = $true) | (some @ (diffprop @ X0 @ X1) != $true)) )), 0.14/0.33 inference(cnf_transformation,[],[f20])). 0.14/0.33 tff(f27,plain,( 0.14/0.33 ( ! [X2:nat,X0:nat,X1:nat] : ((some @ (diffprop @ X2 @ X0) = $true) | (some @ (diffprop @ X2 @ X1) != $true) | (some @ (diffprop @ X1 @ X0) != $true)) )), 0.14/0.33 inference(cnf_transformation,[],[f22])). 0.14/0.33 tff(f28,plain,( 0.14/0.33 ( ! [X0:nat,X1:nat] : (pl @ X0 @ X1 = pl @ X1 @ X0) )), 0.14/0.33 inference(cnf_transformation,[],[f19])). 0.14/0.33 tff(f29,plain,( 0.14/0.33 ($true != $true) | (some @ (diffprop @ (pl @ x @ z) @ (pl @ y @ u)) = $false)), 0.14/0.33 inference(fool_paramodulation,[],[f23])). 0.14/0.33 tff(f30,plain,( 0.14/0.33 (some @ (diffprop @ (pl @ x @ z) @ (pl @ y @ u)) = $false)), 0.14/0.33 inference(trivial_inequality_removal,[],[f29])). 0.14/0.33 tff(f35,plain,( 0.14/0.33 ( ! [X2:nat,X0:nat,X1:nat] : ((some @ (diffprop @ (pl @ X2 @ X1) @ (pl @ X1 @ X0)) = $true) | (some @ (diffprop @ X2 @ X0) != $true)) )), 0.14/0.33 inference(superposition,[],[f26,f28])). 0.14/0.33 tff(f40,plain,( 0.14/0.33 ( ! [X2:nat] : (($false = $true) | (some @ (diffprop @ (pl @ x @ z) @ X2) != $true) | (some @ (diffprop @ X2 @ (pl @ y @ u)) != $true)) )), 0.14/0.33 inference(superposition,[],[f27,f30])). 0.14/0.33 tff(f43,plain,( 0.14/0.33 ( ! [X2:nat] : ((some @ (diffprop @ (pl @ x @ z) @ X2) != $true) | (some @ (diffprop @ X2 @ (pl @ y @ u)) != $true)) )), 0.14/0.33 inference(trivial_inequality_removal,[],[f40])). 0.14/0.33 tff(f46,plain,( 0.14/0.33 ( ! [X0:nat] : (($true != $true) | (some @ (diffprop @ (pl @ X0 @ z) @ (pl @ y @ u)) != $true) | (some @ (diffprop @ x @ X0) != $true)) )), 0.14/0.33 inference(superposition,[],[f43,f26])). 0.14/0.33 tff(f49,plain,( 0.14/0.33 ( ! [X0:nat] : ((some @ (diffprop @ (pl @ X0 @ z) @ (pl @ y @ u)) != $true) | (some @ (diffprop @ x @ X0) != $true)) )), 0.14/0.33 inference(trivial_inequality_removal,[],[f46])). 0.14/0.33 tff(f54,plain,( 0.14/0.33 ( ! [X2:nat,X0:nat,X1:nat] : ((some @ (diffprop @ (pl @ X1 @ X0) @ (pl @ X1 @ X2)) = $true) | (some @ (diffprop @ X0 @ X2) != $true)) )), 0.14/0.33 inference(superposition,[],[f35,f28])). 0.14/0.33 tff(f97,plain,( 0.14/0.33 ($true != $true) | (some @ (diffprop @ x @ y) != $true) | (some @ (diffprop @ z @ u) != $true)), 0.14/0.33 inference(superposition,[],[f49,f54])). 0.14/0.33 tff(f100,plain,( 0.14/0.33 (some @ (diffprop @ x @ y) != $true) | (some @ (diffprop @ z @ u) != $true)), 0.14/0.33 inference(trivial_inequality_removal,[],[f97])). 0.14/0.33 tff(f101,plain,( 0.14/0.33 ($true != $true) | (some @ (diffprop @ z @ u) != $true)), 0.14/0.33 inference(forward_demodulation,[],[f100,f24])). 0.14/0.33 tff(f102,plain,( 0.14/0.33 (some @ (diffprop @ z @ u) != $true)), 0.14/0.33 inference(trivial_inequality_removal,[],[f101])). 0.14/0.33 tff(f103,plain,( 0.14/0.33 $false), 0.14/0.33 inference(global_subsumption,[],[f25,f102])). 0.14/0.33 % SZS output end Proof for theBenchmark 0.14/0.33 % (23361)------------------------------ 0.14/0.33 % (23361)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.14/0.33 % (23361)Termination reason: Refutation 0.14/0.33 0.14/0.33 % (23361)Memory used [KB]: 9850 0.14/0.33 % (23361)Time elapsed: 0.035 s 0.14/0.33 % (23361)------------------------------ 0.14/0.33 % (23361)------------------------------ 0.14/0.33 % (23353)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 0.14/0.34 % (23360)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 0.14/0.34 % (23366)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark 0.14/0.34 % (23365)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 0.14/0.34 % (23341)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 0.14/0.34 % (23340)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 0.14/0.34 % (23352)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 0.14/0.34 % (23344)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.14/0.34 % (23339)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 0.14/0.34 % (23363)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=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 0.14/0.35 % (23336)Success in time 0.054 s 0.14/0.35 EOF