0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : run_vampire %s %d 0.09/0.30 % Computer : n009.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Thu Jul 2 07:07:51 EDT 2020 0.09/0.31 % CPUTime : 0.16/0.33 % (3263)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 0.16/0.34 % (3265)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 0.16/0.35 % (3266)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 0.16/0.35 % (3262)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=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 0.16/0.35 % (3284)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 0.16/0.35 % (3261)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 0.16/0.35 % (3267)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 0.16/0.35 % (3290)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all: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_50 on theBenchmark 0.16/0.36 % (3264)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 0.16/0.36 % (3269)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 0.16/0.36 % (3270)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 0.16/0.36 % (3276)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 0.16/0.36 % (3279)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark 0.16/0.36 % (3283)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 0.16/0.36 % (3280)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark 0.16/0.36 % (3276)Refutation not found, incomplete strategy 0.16/0.36 % (3276)------------------------------ 0.16/0.36 % (3276)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.36 % (3276)Termination reason: Refutation not found, incomplete strategy 0.16/0.36 0.16/0.36 % (3276)Memory used [KB]: 9722 0.16/0.36 % (3276)Time elapsed: 0.009 s 0.16/0.36 % (3276)------------------------------ 0.16/0.36 % (3276)------------------------------ 0.16/0.36 % (3282)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 0.16/0.37 % (3275)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 0.16/0.37 % (3268)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 0.16/0.37 % (3286)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 0.16/0.37 % (3281)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark 0.16/0.37 % (3285)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 0.16/0.37 % (3271)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 0.16/0.37 % (3272)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 0.16/0.37 % (3284)Refutation found. Thanks to Tanya! 0.16/0.37 % SZS status Theorem for theBenchmark 0.16/0.37 % SZS output start Proof for theBenchmark 0.16/0.37 tff(func_def_0, type, num: '$tType'). 0.16/0.37 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 0.16/0.37 tff(func_def_5, type, believes_THFTYPE_IiooI: '$i' -> '$o' -> '$o'). 0.16/0.37 tff(func_def_6, type, considers_THFTYPE_IiooI: '$i' -> '$o' -> '$o'). 0.16/0.37 tff(func_def_7, type, holdsDuring_THFTYPE_IiooI: '$i' -> '$o' -> '$o'). 0.16/0.37 tff(func_def_8, type, husband_THFTYPE_IiioI: '$i' -> '$i' -> '$o'). 0.16/0.37 tff(func_def_10, type, wife_THFTYPE_IiioI: '$i' -> '$i' -> '$o'). 0.16/0.37 tff(func_def_11, type, inverse_THFTYPE_IIiioIIiioIoI: ('$i' -> '$i' -> '$o') -> ('$i' -> '$i' -> '$o') -> '$o'). 0.16/0.37 tff(func_def_12, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.16/0.37 tff(func_def_13, type, vNOT: '$o' -> '$o'). 0.16/0.37 tff(func_def_14, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.16/0.37 tff(func_def_17, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 0.16/0.37 tff(func_def_18, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.16/0.37 tff(func_def_19, type, sK0: '$i' -> '$o' -> '$i'). 0.16/0.37 tff(func_def_21, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.16/0.37 tff(func_def_22, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.16/0.37 tff(func_def_23, type, vAND: '$o' -> '$o' -> '$o'). 0.16/0.37 tff(func_def_24, type, vOR: '$o' -> '$o' -> '$o'). 0.16/0.37 tff(func_def_25, type, vIMP: '$o' -> '$o' -> '$o'). 0.16/0.37 tff(func_def_26, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 0.16/0.37 tff(func_def_27, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.16/0.37 tff(func_def_28, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.16/0.37 tff(f1,axiom,( 0.16/0.37 ! [X0 : '$o',X1] : (believes_THFTYPE_IiooI @ X1 @ X0 => ? [X2] : holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0))), 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)). 0.16/0.37 % (3274)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 0.16/0.37 tff(f2,conjecture,( 0.16/0.37 ? [X3] : vNOT @ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X3))), 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)). 0.16/0.37 tff(f3,negated_conjecture,( 0.16/0.37 ~? [X3] : vNOT @ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X3))), 0.16/0.37 inference(negated_conjecture,[],[f2])). 0.16/0.37 tff(f4,axiom,( 0.16/0.37 ! [X4 : '$i' -> '$i' -> '$o',X5 : '$i' -> '$i' -> '$o'] : (inverse_THFTYPE_IIiioIIiioIoI @ X5 @ X4 => ! [X6,X7] : (X5 @ X6 @ X7 <=> X4 @ X7 @ X6))), 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)). 0.16/0.37 tff(f5,axiom,( 0.16/0.37 ! [X8] : vNOT @ ? [X3] : holdsDuring_THFTYPE_IiooI @ X3 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X8 @ lMax_THFTYPE_i))), 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003)). 0.16/0.37 tff(f6,axiom,( 0.16/0.37 inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI), 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)). 0.16/0.37 tff(f7,plain,( 0.16/0.37 ~? [X0] : vNOT @ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))), 0.16/0.37 inference(rectify,[],[f3])). 0.16/0.37 tff(f8,plain,( 0.16/0.37 ~? [X0] : (vNOT @ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) = $true)), 0.16/0.37 inference(fool_elimination,[],[f7])). 0.16/0.37 tff(f9,plain,( 0.16/0.37 ! [X0] : vNOT @ ? [X1] : holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))), 0.16/0.37 inference(rectify,[],[f5])). 0.16/0.37 tff(f10,plain,( 0.16/0.37 ! [X0] : (vNOT @ (vSIGMA('$i') @ (cCOMB @ holdsDuring_THFTYPE_IiooI @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))) = $true)), 0.16/0.37 inference(fool_elimination,[],[f9])). 0.16/0.37 tff(f11,plain,( 0.16/0.37 ! [X0 : '$o',X1] : (believes_THFTYPE_IiooI @ X1 @ X0 => ? [X2] : holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0))), 0.16/0.37 inference(rectify,[],[f1])). 0.16/0.37 tff(f12,plain,( 0.16/0.37 ! [X0 : '$o',X1] : ((believes_THFTYPE_IiooI @ X1 @ X0 = $true) => ? [X2] : (holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0) = $true))), 0.16/0.37 inference(fool_elimination,[],[f11])). 0.16/0.37 tff(f13,plain,( 0.16/0.37 ! [X0 : '$i' -> '$i' -> '$o',X1 : '$i' -> '$i' -> '$o'] : (inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 => ! [X2,X3] : (X1 @ X2 @ X3 <=> X0 @ X3 @ X2))), 0.16/0.37 inference(rectify,[],[f4])). 0.16/0.37 tff(f14,plain,( 0.16/0.37 ! [X0 : '$i' -> '$i' -> '$o',X1 : '$i' -> '$i' -> '$o'] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 = $true) => ! [X2,X3] : (X0 @ X3 @ X2 = X1 @ X2 @ X3))), 0.16/0.37 inference(fool_elimination,[],[f13])). 0.16/0.37 tff(f15,plain,( 0.16/0.37 inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI), 0.16/0.37 inference(rectify,[],[f6])). 0.16/0.37 tff(f16,plain,( 0.16/0.37 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI = $true)), 0.16/0.37 inference(fool_elimination,[],[f15])). 0.16/0.37 tff(f17,plain,( 0.16/0.37 ! [X0] : (vNOT @ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) != $true)), 0.16/0.37 inference(ennf_transformation,[],[f8])). 0.16/0.37 tff(f18,plain,( 0.16/0.37 ! [X0 : '$i' -> '$i' -> '$o',X1 : '$i' -> '$i' -> '$o'] : (! [X2,X3] : (X0 @ X3 @ X2 = X1 @ X2 @ X3) | (inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 != $true))), 0.16/0.37 inference(ennf_transformation,[],[f14])). 0.16/0.37 tff(f19,plain,( 0.16/0.37 ! [X0 : '$o',X1] : (? [X2] : (holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0) = $true) | (believes_THFTYPE_IiooI @ X1 @ X0 != $true))), 0.16/0.37 inference(ennf_transformation,[],[f12])). 0.16/0.37 tff(f20,plain,( 0.16/0.37 ! [X1,X0 : '$o'] : (? [X2] : (holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0) = $true) => (holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X1 @ X0) = $true))), 0.16/0.37 introduced(choice_axiom,[])). 0.16/0.37 tff(f21,plain,( 0.16/0.37 ! [X0 : '$o',X1] : ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X1 @ X0) = $true) | (believes_THFTYPE_IiooI @ X1 @ X0 != $true))), 0.16/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20])). 0.16/0.37 tff(f22,plain,( 0.16/0.37 ( ! [X0] : ((vNOT @ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) != $true)) )), 0.16/0.37 inference(cnf_transformation,[],[f17])). 0.16/0.37 tff(f23,plain,( 0.16/0.37 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI = $true)), 0.16/0.37 inference(cnf_transformation,[],[f16])). 0.16/0.37 tff(f24,plain,( 0.16/0.37 ( ! [X2,X0:'$i' -> '$i' -> '$o',X3,X1:'$i' -> '$i' -> '$o'] : ((X0 @ X3 @ X2 = X1 @ X2 @ X3) | (inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 != $true)) )), 0.16/0.37 inference(cnf_transformation,[],[f18])). 0.16/0.37 tff(f25,plain,( 0.16/0.37 ( ! [X0:'$o',X1] : ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X1 @ X0) = $true) | (believes_THFTYPE_IiooI @ X1 @ X0 != $true)) )), 0.16/0.37 inference(cnf_transformation,[],[f21])). 0.16/0.37 tff(f26,plain,( 0.16/0.37 ( ! [X0] : ((vNOT @ (vSIGMA('$i') @ (cCOMB @ holdsDuring_THFTYPE_IiooI @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))) = $true)) )), 0.16/0.37 inference(cnf_transformation,[],[f10])). 0.16/0.37 tff(f27,plain,( 0.16/0.37 ( ! [X0] : ((vSIGMA('$i') @ (cCOMB @ holdsDuring_THFTYPE_IiooI @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))) = $false)) )), 0.16/0.37 inference(not_proxy_clausification,[],[f26])). 0.16/0.37 tff(f28,plain,( 0.16/0.37 ( ! [X0,X1] : ((cCOMB @ holdsDuring_THFTYPE_IiooI @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)) @ X1 = $false)) )), 0.16/0.37 inference(pi_clausification,[],[f27])). 0.16/0.37 tff(f29,plain,( 0.16/0.37 ( ! [X0,X1] : ((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)) = $false)) )), 0.16/0.37 inference(combinator_demodulation,[],[f28])). 0.16/0.37 tff(f30,plain,( 0.16/0.37 ( ! [X2,X0:'$i' -> '$i' -> '$o',X3,X1:'$i' -> '$i' -> '$o'] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 != $true) | (X0 @ X3 @ X2 = $true) | (X1 @ X2 @ X3 = $false)) )), 0.16/0.37 inference(binary_proxy_clausification,[],[f24])). 0.16/0.37 tff(f31,plain,( 0.16/0.37 ( ! [X2,X0:'$i' -> '$i' -> '$o',X3,X1:'$i' -> '$i' -> '$o'] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 != $true) | (X0 @ X3 @ X2 = $false) | (X1 @ X2 @ X3 = $true)) )), 0.16/0.37 inference(binary_proxy_clausification,[],[f24])). 0.16/0.37 tff(f32,plain,( 0.16/0.37 ( ! [X0] : ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true)) )), 0.16/0.37 inference(not_proxy_clausification,[],[f22])). 0.16/0.37 tff(f36,plain,( 0.16/0.37 ( ! [X0] : (($false = $true) | (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i) != $true)) )), 0.16/0.37 inference(superposition,[],[f25,f29])). 0.16/0.37 tff(f39,plain,( 0.16/0.37 ( ! [X0] : ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i) != $true)) )), 0.16/0.37 inference(trivial_inequality_removal,[],[f36])). 0.16/0.37 tff(f40,plain,( 0.16/0.37 ( ! [X0] : (($true != $true) | (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i) = $false)) )), 0.16/0.37 inference(fool_paramodulation,[],[f39])). 0.16/0.37 tff(f41,plain,( 0.16/0.37 ( ! [X0] : ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i) = $false)) )), 0.16/0.37 inference(trivial_inequality_removal,[],[f40])). 0.16/0.37 tff(f44,plain,( 0.16/0.37 ( ! [X0,X1] : (($true != $true) | (wife_THFTYPE_IiioI @ X0 @ X1 = $true) | (husband_THFTYPE_IiioI @ X1 @ X0 = $false)) )), 0.16/0.37 inference(superposition,[],[f30,f23])). 0.16/0.37 tff(f45,plain,( 0.16/0.37 ( ! [X0,X1] : ((wife_THFTYPE_IiioI @ X0 @ X1 = $true) | (husband_THFTYPE_IiioI @ X1 @ X0 = $false)) )), 0.16/0.37 inference(trivial_inequality_removal,[],[f44])). 0.16/0.37 tff(f48,plain,( 0.16/0.37 ( ! [X0] : ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true = $false) | (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 = $false)) )), 0.16/0.37 inference(superposition,[],[f41,f45])). 0.16/0.37 tff(f51,plain,( 0.16/0.37 spl1_0 <=> ! [X0] : (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 = $false)), 0.16/0.37 introduced(avatar_definition,[new_symbols(naming,[spl1_0])])). 0.16/0.37 tff(f52,plain,( 0.16/0.37 ( ! [X0] : ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 = $false)) ) | ~spl1_0), 0.16/0.37 inference(avatar_component_clause,[],[f51])). 0.16/0.37 tff(f57,plain,( 0.16/0.37 spl1_2 <=> (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true = $false)), 0.16/0.37 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 0.16/0.37 tff(f58,plain,( 0.16/0.37 (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true = $false) | ~spl1_2), 0.16/0.37 inference(avatar_component_clause,[],[f57])). 0.16/0.37 tff(f59,plain,( 0.16/0.37 spl1_0 | spl1_2), 0.16/0.37 inference(avatar_split_clause,[],[f48,f57,f51])). 0.16/0.37 tff(f65,plain,( 0.16/0.37 ( ! [X0,X1] : (($true != $true) | (wife_THFTYPE_IiioI @ X0 @ X1 = $false) | (husband_THFTYPE_IiioI @ X1 @ X0 = $true)) )), 0.16/0.37 inference(superposition,[],[f31,f23])). 0.16/0.37 tff(f66,plain,( 0.16/0.37 ( ! [X0,X1] : ((wife_THFTYPE_IiioI @ X0 @ X1 = $false) | (husband_THFTYPE_IiioI @ X1 @ X0 = $true)) )), 0.16/0.37 inference(trivial_inequality_removal,[],[f65])). 0.16/0.37 tff(f68,plain,( 0.16/0.37 ( ! [X2,X3] : (($false = $true) | (husband_THFTYPE_IiioI @ X3 @ X2 = $true) | (husband_THFTYPE_IiioI @ X3 @ X2 = $false)) )), 0.16/0.37 inference(superposition,[],[f66,f45])). 0.16/0.37 tff(f69,plain,( 0.16/0.37 ( ! [X0] : ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false = $false) | (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 = $true)) )), 0.16/0.37 inference(superposition,[],[f41,f66])). 0.16/0.37 tff(f73,plain,( 0.16/0.37 ( ! [X2,X3] : ((husband_THFTYPE_IiioI @ X3 @ X2 = $true) | (husband_THFTYPE_IiioI @ X3 @ X2 = $false)) )), 0.16/0.37 inference(trivial_inequality_removal,[],[f68])). 0.16/0.37 tff(f75,plain,( 0.16/0.37 spl1_6 <=> ! [X0] : (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 = $true)), 0.16/0.37 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 0.16/0.37 tff(f76,plain,( 0.16/0.37 ( ! [X0] : ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 = $true)) ) | ~spl1_6), 0.16/0.37 inference(avatar_component_clause,[],[f75])). 0.16/0.37 tff(f81,plain,( 0.16/0.37 spl1_8 <=> (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false = $false)), 0.16/0.37 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 0.16/0.37 tff(f82,plain,( 0.16/0.37 (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false = $false) | ~spl1_8), 0.16/0.37 inference(avatar_component_clause,[],[f81])). 0.16/0.37 tff(f83,plain,( 0.16/0.37 spl1_6 | spl1_8), 0.16/0.37 inference(avatar_split_clause,[],[f69,f81,f75])). 0.16/0.37 tff(f88,plain,( 0.16/0.37 (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true = $true) | ~spl1_6), 0.16/0.37 inference(backward_demodulation,[],[f76,f32])). 0.16/0.37 tff(f89,plain,( 0.16/0.37 ($false = $true) | (~spl1_2 | ~spl1_6)), 0.16/0.37 inference(forward_demodulation,[],[f88,f58])). 0.16/0.37 tff(f90,plain,( 0.16/0.37 $false | (~spl1_2 | ~spl1_6)), 0.16/0.37 inference(trivial_inequality_removal,[],[f89])). 0.16/0.37 tff(f91,plain,( 0.16/0.37 ~spl1_2 | ~spl1_6), 0.16/0.37 inference(avatar_contradiction_clause,[],[f90])). 0.16/0.37 tff(f118,plain,( 0.16/0.37 ( ! [X0] : ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true = $true) | (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 = $false)) )), 0.16/0.37 inference(superposition,[],[f32,f73])). 0.16/0.37 tff(f121,plain,( 0.16/0.37 ( ! [X0] : (($false = $true) | (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 = $false)) ) | ~spl1_2), 0.16/0.37 inference(forward_demodulation,[],[f118,f58])). 0.16/0.37 tff(f122,plain,( 0.16/0.37 ( ! [X0] : ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 = $false)) ) | ~spl1_2), 0.16/0.37 inference(trivial_inequality_removal,[],[f121])). 0.16/0.37 tff(f123,plain,( 0.16/0.37 (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false = $true) | ~spl1_2), 0.16/0.37 inference(backward_demodulation,[],[f122,f32])). 0.16/0.38 tff(f124,plain,( 0.16/0.38 ($false = $true) | (~spl1_2 | ~spl1_8)), 0.16/0.38 inference(forward_demodulation,[],[f123,f82])). 0.16/0.38 tff(f125,plain,( 0.16/0.38 $false | (~spl1_2 | ~spl1_8)), 0.16/0.38 inference(trivial_inequality_removal,[],[f124])). 0.16/0.38 tff(f126,plain,( 0.16/0.38 ~spl1_2 | ~spl1_8), 0.16/0.38 inference(avatar_contradiction_clause,[],[f125])). 0.16/0.38 tff(f134,plain,( 0.16/0.38 (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false = $true) | ~spl1_0), 0.16/0.38 inference(backward_demodulation,[],[f52,f32])). 0.16/0.38 tff(f135,plain,( 0.16/0.38 ($false = $true) | (~spl1_0 | ~spl1_8)), 0.16/0.38 inference(forward_demodulation,[],[f134,f82])). 0.16/0.38 tff(f136,plain,( 0.16/0.38 $false | (~spl1_0 | ~spl1_8)), 0.16/0.38 inference(trivial_inequality_removal,[],[f135])). 0.16/0.38 tff(f137,plain,( 0.16/0.38 ~spl1_0 | ~spl1_8), 0.16/0.38 inference(avatar_contradiction_clause,[],[f136])). 0.16/0.38 tff(f138,plain,( 0.16/0.38 ($false = $true) | (~spl1_0 | ~spl1_6)), 0.16/0.38 inference(forward_demodulation,[],[f76,f52])). 0.16/0.38 tff(f139,plain,( 0.16/0.38 $false | (~spl1_0 | ~spl1_6)), 0.16/0.38 inference(trivial_inequality_removal,[],[f138])). 0.16/0.38 tff(f140,plain,( 0.16/0.38 ~spl1_0 | ~spl1_6), 0.16/0.38 inference(avatar_contradiction_clause,[],[f139])). 0.16/0.38 tff(f141,plain,( 0.16/0.38 $false), 0.16/0.38 inference(avatar_sat_refutation,[],[f59,f83,f91,f126,f137,f140])). 0.16/0.38 % SZS output end Proof for theBenchmark 0.16/0.38 % (3284)------------------------------ 0.16/0.38 % (3284)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.38 % (3284)Termination reason: Refutation 0.16/0.38 0.16/0.38 % (3284)Memory used [KB]: 9850 0.16/0.38 % (3284)Time elapsed: 0.021 s 0.16/0.38 % (3284)------------------------------ 0.16/0.38 % (3284)------------------------------ 0.16/0.38 % (3278)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=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_30 on theBenchmark 0.16/0.38 % (3289)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 0.16/0.38 % (3277)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 0.16/0.38 % (3288)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 0.16/0.38 % (3273)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 0.16/0.38 % (3275)Refutation not found, incomplete strategy 0.16/0.38 % (3275)------------------------------ 0.16/0.38 % (3275)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.38 % (3275)Termination reason: Refutation not found, incomplete strategy 0.16/0.38 0.16/0.38 % (3275)Memory used [KB]: 5245 0.16/0.38 % (3275)Time elapsed: 0.047 s 0.16/0.38 % (3275)------------------------------ 0.16/0.38 % (3275)------------------------------ 0.16/0.38 % (3290)Refutation not found, incomplete strategy 0.16/0.38 % (3290)------------------------------ 0.16/0.38 % (3290)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.38 % (3290)Termination reason: Refutation not found, incomplete strategy 0.16/0.38 0.16/0.38 % (3290)Memory used [KB]: 9722 0.16/0.38 % (3290)Time elapsed: 0.050 s 0.16/0.38 % (3290)------------------------------ 0.16/0.38 % (3290)------------------------------ 0.16/0.38 % (3287)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 0.16/0.38 % (3260)Success in time 0.066 s 0.16/0.39 EOF