0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_vampire %s %d 0.12/0.34 % Computer : n026.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Thu Jul 2 06:49:24 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.37 % (24700)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 0.12/0.38 % (24701)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 0.12/0.38 % (24702)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 0.12/0.38 % (24709)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 0.12/0.38 % (24703)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 0.12/0.38 % (24715)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 0.12/0.39 % (24705)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 0.12/0.39 % (24722)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 0.12/0.39 % (24704)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 0.12/0.39 % (24714)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 0.20/0.40 % (24723)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 0.20/0.40 % (24706)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 0.20/0.41 % (24721)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 0.20/0.41 % (24724)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 0.20/0.41 % (24719)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 0.20/0.41 % (24718)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 0.20/0.41 % (24717)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 0.20/0.41 % (24714)Refutation not found, incomplete strategy 0.20/0.41 % (24714)------------------------------ 0.20/0.41 % (24714)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.20/0.42 % (24714)Termination reason: Refutation not found, incomplete strategy 0.20/0.42 0.20/0.42 % (24714)Memory used [KB]: 5245 0.20/0.42 % (24714)Time elapsed: 0.043 s 0.20/0.42 % (24714)------------------------------ 0.20/0.42 % (24714)------------------------------ 0.20/0.42 % (24729)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 0.20/0.42 % (24730)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 0.20/0.42 % (24702)Refutation not found, incomplete strategy 0.20/0.42 % (24702)------------------------------ 0.20/0.42 % (24702)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.20/0.42 % (24702)Termination reason: Refutation not found, incomplete strategy 0.20/0.42 0.20/0.42 % (24702)Memory used [KB]: 9722 0.20/0.42 % (24702)Time elapsed: 0.037 s 0.20/0.42 % (24702)------------------------------ 0.20/0.42 % (24702)------------------------------ 0.20/0.42 % (24720)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 0.20/0.42 % (24707)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 0.20/0.42 % (24710)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 0.20/0.42 % (24713)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 0.20/0.43 % (24711)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 0.20/0.43 % (24716)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 0.20/0.43 % (24708)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 0.20/0.43 % (24727)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 0.20/0.43 % (24712)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 0.20/0.43 % (24725)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 0.20/0.43 % (24726)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 0.20/0.47 % (24731)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark 0.20/0.48 % (24710)Refutation not found, incomplete strategy 0.20/0.48 % (24710)------------------------------ 0.20/0.48 % (24710)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.20/0.48 % (24710)Termination reason: Refutation not found, incomplete strategy 0.20/0.48 0.20/0.48 % (24710)Memory used [KB]: 11129 0.20/0.48 % (24710)Time elapsed: 0.104 s 0.20/0.48 % (24710)------------------------------ 0.20/0.48 % (24710)------------------------------ 0.20/0.48 % (24704)Refutation found. Thanks to Tanya! 0.20/0.48 % SZS status Theorem for theBenchmark 0.20/0.48 % SZS output start Proof for theBenchmark 0.20/0.48 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 0.20/0.49 % (24732)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.20/0.50 tff(func_def_4, type, in: '$i' -> '$i' -> '$o'). 0.20/0.50 tff(func_def_5, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i'). 0.20/0.50 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.20/0.50 tff(func_def_10, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.20/0.50 tff(func_def_13, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.20/0.50 tff(func_def_14, type, vIMP: '$o' -> '$o' -> '$o'). 0.20/0.50 tff(func_def_15, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 0.20/0.50 tff(func_def_16, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.20/0.50 tff(func_def_17, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.20/0.50 tff(func_def_18, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.20/0.50 tff(func_def_19, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 0.20/0.50 tff(func_def_20, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.20/0.50 tff(func_def_23, type, vAND: '$o' -> '$o' -> '$o'). 0.20/0.50 tff(func_def_24, type, vOR: '$o' -> '$o' -> '$o'). 0.20/0.50 tff(func_def_25, type, vNOT: '$o' -> '$o'). 0.20/0.50 tff(func_def_26, type, sK2: '$i' -> '$i' -> '$i'). 0.20/0.50 tff(func_def_27, type, sK3: '$i' -> '$i' -> '$i'). 0.20/0.50 tff(f1,axiom,( 0.20/0.50 (dsetconstrI = ! [X0,X1 : '$i' -> '$o',X2] : (in @ X2 @ X0 => (X1 @ X2 => in @ X2 @ (dsetconstr @ X0 @ (^[X3 : '$i'] : X1 @ X3)))))), 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI)). 0.20/0.50 tff(f2,axiom,( 0.20/0.50 (dsetconstrEL = ! [X0,X1 : '$i' -> '$o',X2] : (in @ X2 @ (dsetconstr @ X0 @ (^[X3 : '$i'] : X1 @ X3)) => in @ X2 @ X0))), 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrEL)). 0.20/0.50 tff(f3,axiom,( 0.20/0.50 (setext = ! [X0,X4] : (! [X2] : (in @ X2 @ X0 => in @ X2 @ X4) => (! [X2] : (in @ X2 @ X4 => in @ X2 @ X0) => X0 = X4)))), 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext)). 0.20/0.50 tff(f4,conjecture,( 0.20/0.50 dsetconstrI => (dsetconstrEL => (setext => ! [X0] : dsetconstr @ X0 @ (^[X2 : '$i'] : $true) = X0))), 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setoftrueEq)). 0.20/0.50 tff(f5,negated_conjecture,( 0.20/0.50 ~(dsetconstrI => (dsetconstrEL => (setext => ! [X0] : dsetconstr @ X0 @ (^[X2 : '$i'] : $true) = X0)))), 0.20/0.50 inference(negated_conjecture,[],[f4])). 0.20/0.50 tff(f6,plain,( 0.20/0.50 ~(dsetconstrI => (dsetconstrEL => (setext => ! [X0] : dsetconstr @ X0 @ (^[X1 : '$i'] : $true) = X0)))), 0.20/0.50 inference(rectify,[],[f5])). 0.20/0.50 tff(f7,plain,( 0.20/0.50 ~((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((setext = $true) => ! [X0] : dsetconstr @ X0 @ (kCOMB @ $true) = X0)))), 0.20/0.50 inference(fool_elimination,[],[f6])). 0.20/0.50 tff(f8,plain,( 0.20/0.50 (setext = ! [X0,X1] : (! [X2] : (in @ X2 @ X0 => in @ X2 @ X1) => (! [X3] : (in @ X3 @ X1 => in @ X3 @ X0) => X0 = X1)))), 0.20/0.50 inference(rectify,[],[f3])). 0.20/0.50 tff(f9,plain,( 0.20/0.50 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))) @ (cCOMB @ vEQ('$i'))))) = setext)), 0.20/0.50 inference(fool_elimination,[],[f8])). 0.20/0.50 tff(f10,plain,( 0.20/0.50 (dsetconstrI = ! [X0,X1 : '$i' -> '$o',X2] : (in @ X2 @ X0 => (X1 @ X2 => in @ X2 @ (dsetconstr @ X0 @ (^[X3 : '$i'] : X1 @ X3)))))), 0.20/0.50 inference(rectify,[],[f1])). 0.20/0.50 tff(f11,plain,( 0.20/0.50 (dsetconstrI = vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr)))))))), 0.20/0.50 inference(fool_elimination,[],[f10])). 0.20/0.50 tff(f12,plain,( 0.20/0.50 (dsetconstrEL = ! [X0,X1 : '$i' -> '$o',X2] : (in @ X2 @ (dsetconstr @ X0 @ (^[X3 : '$i'] : X1 @ X3)) => in @ X2 @ X0))), 0.20/0.50 inference(rectify,[],[f2])). 0.20/0.50 tff(f13,plain,( 0.20/0.50 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ in))) = dsetconstrEL)), 0.20/0.50 inference(fool_elimination,[],[f12])). 0.20/0.50 tff(f14,plain,( 0.20/0.50 ((? [X0] : dsetconstr @ X0 @ (kCOMB @ $true) != X0 & (setext = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)), 0.20/0.50 inference(ennf_transformation,[],[f7])). 0.20/0.50 tff(f15,plain,( 0.20/0.50 ? [X0] : dsetconstr @ X0 @ (kCOMB @ $true) != X0 & (setext = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true)), 0.20/0.50 inference(flattening,[],[f14])). 0.20/0.50 tff(f16,plain,( 0.20/0.50 ? [X0] : dsetconstr @ X0 @ (kCOMB @ $true) != X0 => dsetconstr @ sK0 @ (kCOMB @ $true) != sK0), 0.20/0.50 introduced(choice_axiom,[])). 0.20/0.50 tff(f17,plain,( 0.20/0.50 dsetconstr @ sK0 @ (kCOMB @ $true) != sK0 & (setext = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true)), 0.20/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16])). 0.20/0.50 tff(f18,plain,( 0.20/0.50 (dsetconstrI = $true)), 0.20/0.50 inference(cnf_transformation,[],[f17])). 0.20/0.50 tff(f19,plain,( 0.20/0.50 (dsetconstrEL = $true)), 0.20/0.50 inference(cnf_transformation,[],[f17])). 0.20/0.50 tff(f20,plain,( 0.20/0.50 (setext = $true)), 0.20/0.50 inference(cnf_transformation,[],[f17])). 0.20/0.50 tff(f21,plain,( 0.20/0.50 dsetconstr @ sK0 @ (kCOMB @ $true) != sK0), 0.20/0.50 inference(cnf_transformation,[],[f17])). 0.20/0.50 tff(f22,plain,( 0.20/0.50 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))) @ (cCOMB @ vEQ('$i'))))) = setext)), 0.20/0.50 inference(cnf_transformation,[],[f9])). 0.20/0.50 tff(f23,plain,( 0.20/0.50 (dsetconstrI = vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr)))))))), 0.20/0.50 inference(cnf_transformation,[],[f11])). 0.20/0.50 tff(f24,plain,( 0.20/0.50 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ in))) = dsetconstrEL)), 0.20/0.50 inference(cnf_transformation,[],[f13])). 0.20/0.50 tff(f25,plain,( 0.20/0.50 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))) @ (cCOMB @ vEQ('$i'))))) = $true)), 0.20/0.50 inference(definition_unfolding,[],[f22,f20])). 0.20/0.50 tff(f26,plain,( 0.20/0.50 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr)))))) = $true)), 0.20/0.50 inference(definition_unfolding,[],[f23,f18])). 0.20/0.50 tff(f27,plain,( 0.20/0.50 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ in))) = $true)), 0.20/0.50 inference(definition_unfolding,[],[f24,f19])). 0.20/0.50 tff(f28,plain,( 0.20/0.50 ( ! [X1] : ((bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ in)) @ X1 = $true)) )), 0.20/0.50 inference(pi_clausification,[],[f27])). 0.20/0.50 tff(f29,plain,( 0.20/0.50 ( ! [X1] : ((vPI('$i' -> '$o') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr)))) @ (in @ X1))) = $true)) )), 0.20/0.50 inference(combinator_demodulation,[],[f28])). 0.20/0.50 tff(f30,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X1] : ((bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr)))) @ (in @ X1)) @ X2 = $true)) )), 0.20/0.50 inference(pi_clausification,[],[f29])). 0.20/0.50 tff(f31,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2))) @ (in @ X1)) = $true)) )), 0.20/0.50 inference(combinator_demodulation,[],[f30])). 0.20/0.50 tff(f32,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2))) @ (in @ X1) @ X3 = $true)) )), 0.20/0.50 inference(pi_clausification,[],[f31])). 0.20/0.50 tff(f33,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X3,X1] : ((vIMP @ (in @ X1 @ (dsetconstr @ X3 @ X2)) @ (in @ X1 @ X3) = $true)) )), 0.20/0.50 inference(combinator_demodulation,[],[f32])). 0.20/0.50 tff(f34,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X3,X1] : ((in @ X1 @ (dsetconstr @ X3 @ X2) = $false) | (in @ X1 @ X3 = $true)) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f33])). 0.20/0.50 tff(f35,plain,( 0.20/0.50 ( ! [X1] : ((bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ X1 = $true)) )), 0.20/0.50 inference(pi_clausification,[],[f26])). 0.20/0.50 tff(f36,plain,( 0.20/0.50 ( ! [X1] : ((vPI('$i' -> '$o') @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ X1))) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr))))) = $true)) )), 0.20/0.50 inference(combinator_demodulation,[],[f35])). 0.20/0.50 tff(f37,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ X1))) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr)))) @ X2 = $true)) )), 0.20/0.50 inference(pi_clausification,[],[f36])). 0.20/0.50 tff(f38,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (X2 @ X1)) @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2)))) = $true)) )), 0.20/0.50 inference(combinator_demodulation,[],[f37])). 0.20/0.50 tff(f39,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (X2 @ X1)) @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2))) @ X3 = $true)) )), 0.20/0.50 inference(pi_clausification,[],[f38])). 0.20/0.50 tff(f40,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X3,X1] : ((vIMP @ (in @ X1 @ X3) @ (vIMP @ (X2 @ X1) @ (in @ X1 @ (dsetconstr @ X3 @ X2))) = $true)) )), 0.20/0.50 inference(combinator_demodulation,[],[f39])). 0.20/0.50 tff(f41,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X3,X1] : ((in @ X1 @ X3 = $false) | (vIMP @ (X2 @ X1) @ (in @ X1 @ (dsetconstr @ X3 @ X2)) = $true)) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f40])). 0.20/0.50 tff(f42,plain,( 0.20/0.50 ( ! [X2:'$i' -> '$o',X3,X1] : ((in @ X1 @ (dsetconstr @ X3 @ X2) = $true) | (X2 @ X1 = $false) | (in @ X1 @ X3 = $false)) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f41])). 0.20/0.50 tff(f43,plain,( 0.20/0.50 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))) @ (cCOMB @ vEQ('$i')))) @ X1 = $true)) )), 0.20/0.50 inference(pi_clausification,[],[f25])). 0.20/0.50 tff(f44,plain,( 0.20/0.50 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ in @ X1)))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1))) @ (cCOMB @ in)))) @ (cCOMB @ vEQ('$i') @ X1))) = $true)) )), 0.20/0.50 inference(combinator_demodulation,[],[f43])). 0.20/0.50 tff(f45,plain,( 0.20/0.50 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ in @ X1)))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1))) @ (cCOMB @ in)))) @ (cCOMB @ vEQ('$i') @ X1)) @ X2 = $true)) )), 0.20/0.50 inference(pi_clausification,[],[f44])). 0.20/0.50 tff(f46,plain,( 0.20/0.50 ( ! [X2,X1] : ((vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (cCOMB @ in @ X1))) @ (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X2))) @ (vEQ('$i') @ X2 @ X1)) = $true)) )), 0.20/0.50 inference(combinator_demodulation,[],[f45])). 0.20/0.50 tff(f47,plain,( 0.20/0.50 ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (cCOMB @ in @ X1)) = $false) | (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X2))) @ (vEQ('$i') @ X2 @ X1) = $true)) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f46])). 0.20/0.50 tff(f48,plain,( 0.20/0.50 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (cCOMB @ in @ X1) @ (sK2 @ X2 @ X1) = $false) | (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X2))) @ (vEQ('$i') @ X2 @ X1) = $true)) )), 0.20/0.50 inference(sigma_clausification,[],[f47])). 0.20/0.50 tff(f49,plain,( 0.20/0.50 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (cCOMB @ in @ X1) @ (sK2 @ X2 @ X1) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X2)) = $false) | (vEQ('$i') @ X2 @ X1 = $true)) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f48])). 0.20/0.50 tff(f50,plain,( 0.20/0.50 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (cCOMB @ in @ X1) @ (sK2 @ X2 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X2) @ (sK3 @ X2 @ X1) = $false) | (vEQ('$i') @ X2 @ X1 = $true)) )), 0.20/0.50 inference(sigma_clausification,[],[f49])). 0.20/0.50 tff(f51,plain,( 0.20/0.50 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (cCOMB @ in @ X1) @ (sK2 @ X2 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X2) @ (sK3 @ X2 @ X1) = $false) | X1 = X2) )), 0.20/0.50 inference(equality_proxy_clausification,[],[f50])). 0.20/0.50 tff(f52,plain,( 0.20/0.50 ( ! [X2,X1] : ((vIMP @ (in @ (sK2 @ X2 @ X1) @ X2) @ (in @ (sK2 @ X2 @ X1) @ X1) = $false) | (vIMP @ (in @ (sK3 @ X2 @ X1) @ X1) @ (in @ (sK3 @ X2 @ X1) @ X2) = $false) | X1 = X2) )), 0.20/0.50 inference(combinator_demodulation,[],[f51])). 0.20/0.50 tff(f53,plain,( 0.20/0.50 ( ! [X2,X1] : ((in @ (sK2 @ X2 @ X1) @ X2 = $true) | (vIMP @ (in @ (sK3 @ X2 @ X1) @ X1) @ (in @ (sK3 @ X2 @ X1) @ X2) = $false) | X1 = X2) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f52])). 0.20/0.50 tff(f54,plain,( 0.20/0.50 ( ! [X2,X1] : ((in @ (sK2 @ X2 @ X1) @ X1 = $false) | (vIMP @ (in @ (sK3 @ X2 @ X1) @ X1) @ (in @ (sK3 @ X2 @ X1) @ X2) = $false) | X1 = X2) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f52])). 0.20/0.50 tff(f55,plain,( 0.20/0.50 ( ! [X2,X1] : ((in @ (sK3 @ X2 @ X1) @ X1 = $true) | (in @ (sK2 @ X2 @ X1) @ X1 = $false) | X1 = X2) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f54])). 0.20/0.50 tff(f56,plain,( 0.20/0.50 ( ! [X2,X1] : ((in @ (sK3 @ X2 @ X1) @ X2 = $false) | (in @ (sK2 @ X2 @ X1) @ X1 = $false) | X1 = X2) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f54])). 0.20/0.50 tff(f57,plain,( 0.20/0.50 ( ! [X2,X1] : ((in @ (sK3 @ X2 @ X1) @ X1 = $true) | (in @ (sK2 @ X2 @ X1) @ X2 = $true) | X1 = X2) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f53])). 0.20/0.50 tff(f58,plain,( 0.20/0.50 ( ! [X2,X1] : ((in @ (sK3 @ X2 @ X1) @ X2 = $false) | (in @ (sK2 @ X2 @ X1) @ X2 = $true) | X1 = X2) )), 0.20/0.50 inference(binary_proxy_clausification,[],[f53])). 0.20/0.50 tff(f88,plain,( 0.20/0.50 ( ! [X6,X7:'$i' -> '$o',X5] : (($false = $true) | (in @ (sK2 @ X5 @ (dsetconstr @ X6 @ X7)) @ (dsetconstr @ X6 @ X7) = $false) | dsetconstr @ X6 @ X7 = X5 | (in @ (sK3 @ X5 @ (dsetconstr @ X6 @ X7)) @ X6 = $true)) )), 0.20/0.50 inference(superposition,[],[f55,f34])). 0.20/0.50 tff(f91,plain,( 0.20/0.50 ( ! [X6,X7:'$i' -> '$o',X5] : ((in @ (sK2 @ X5 @ (dsetconstr @ X6 @ X7)) @ (dsetconstr @ X6 @ X7) = $false) | dsetconstr @ X6 @ X7 = X5 | (in @ (sK3 @ X5 @ (dsetconstr @ X6 @ X7)) @ X6 = $true)) )), 0.20/0.50 inference(trivial_inequality_removal,[],[f88])). 0.20/0.50 tff(f104,plain,( 0.20/0.50 ( ! [X10:'$i' -> '$o',X8,X9] : (($false = $true) | (in @ (sK2 @ X8 @ (dsetconstr @ X9 @ X10)) @ X8 = $true) | dsetconstr @ X9 @ X10 = X8 | (in @ (sK3 @ X8 @ (dsetconstr @ X9 @ X10)) @ X9 = $true)) )), 0.20/0.50 inference(superposition,[],[f57,f34])). 0.20/0.51 tff(f108,plain,( 0.20/0.51 ( ! [X10:'$i' -> '$o',X8,X9] : ((in @ (sK3 @ X8 @ (dsetconstr @ X9 @ X10)) @ X9 = $true) | dsetconstr @ X9 @ X10 = X8 | (in @ (sK2 @ X8 @ (dsetconstr @ X9 @ X10)) @ X8 = $true)) )), 0.20/0.51 inference(trivial_inequality_removal,[],[f104])). 0.20/0.51 tff(f122,plain,( 0.20/0.51 ( ! [X4:'$i' -> '$o',X3] : (($false = $true) | dsetconstr @ X3 @ X4 = X3 | (in @ (sK2 @ X3 @ (dsetconstr @ X3 @ X4)) @ X3 = $true) | (in @ (sK2 @ X3 @ (dsetconstr @ X3 @ X4)) @ X3 = $true) | dsetconstr @ X3 @ X4 = X3) )), 0.20/0.51 inference(superposition,[],[f108,f58])). 0.20/0.51 tff(f136,plain,( 0.20/0.51 ( ! [X4:'$i' -> '$o',X3] : (($false = $true) | dsetconstr @ X3 @ X4 = X3 | (in @ (sK2 @ X3 @ (dsetconstr @ X3 @ X4)) @ X3 = $true)) )), 0.20/0.51 inference(duplicate_literal_removal,[],[f122])). 0.20/0.51 tff(f137,plain,( 0.20/0.51 ( ! [X4:'$i' -> '$o',X3] : ((in @ (sK2 @ X3 @ (dsetconstr @ X3 @ X4)) @ X3 = $true) | dsetconstr @ X3 @ X4 = X3) )), 0.20/0.51 inference(trivial_inequality_removal,[],[f136])). 0.20/0.51 tff(f138,plain,( 0.20/0.51 ( ! [X4,X5:'$i' -> '$o',X3] : (($false = $true) | dsetconstr @ X4 @ X5 = X3 | (in @ (sK3 @ X3 @ (dsetconstr @ X4 @ X5)) @ X4 = $true) | (X5 @ (sK2 @ X3 @ (dsetconstr @ X4 @ X5)) = $false) | (in @ (sK2 @ X3 @ (dsetconstr @ X4 @ X5)) @ X4 = $false)) )), 0.20/0.51 inference(superposition,[],[f91,f42])). 0.20/0.51 tff(f145,plain,( 0.20/0.51 ( ! [X4,X5:'$i' -> '$o',X3] : ((in @ (sK3 @ X3 @ (dsetconstr @ X4 @ X5)) @ X4 = $true) | dsetconstr @ X4 @ X5 = X3 | (X5 @ (sK2 @ X3 @ (dsetconstr @ X4 @ X5)) = $false) | (in @ (sK2 @ X3 @ (dsetconstr @ X4 @ X5)) @ X4 = $false)) )), 0.20/0.51 inference(trivial_inequality_removal,[],[f138])). 0.20/0.51 tff(f147,plain,( 0.20/0.51 (in @ (sK2 @ sK0 @ (dsetconstr @ sK0 @ (kCOMB @ $true))) @ sK0 = $true)), 0.20/0.51 inference(unit_resulting_resolution,[],[f21,f137])). 0.20/0.51 tff(f194,plain,( 0.20/0.51 ( ! [X8,X9:'$i' -> '$o'] : (($false = $true) | dsetconstr @ X8 @ X9 = X8 | (X9 @ (sK2 @ X8 @ (dsetconstr @ X8 @ X9)) = $false) | (in @ (sK2 @ X8 @ (dsetconstr @ X8 @ X9)) @ X8 = $false) | (in @ (sK2 @ X8 @ (dsetconstr @ X8 @ X9)) @ (dsetconstr @ X8 @ X9) = $false) | dsetconstr @ X8 @ X9 = X8) )), 0.20/0.51 inference(superposition,[],[f145,f56])). 0.20/0.51 tff(f211,plain,( 0.20/0.51 ( ! [X8,X9:'$i' -> '$o'] : (($false = $true) | dsetconstr @ X8 @ X9 = X8 | (X9 @ (sK2 @ X8 @ (dsetconstr @ X8 @ X9)) = $false) | (in @ (sK2 @ X8 @ (dsetconstr @ X8 @ X9)) @ X8 = $false) | (in @ (sK2 @ X8 @ (dsetconstr @ X8 @ X9)) @ (dsetconstr @ X8 @ X9) = $false)) )), 0.20/0.51 inference(duplicate_literal_removal,[],[f194])). 0.20/0.51 tff(f212,plain,( 0.20/0.51 ( ! [X8,X9:'$i' -> '$o'] : ((in @ (sK2 @ X8 @ (dsetconstr @ X8 @ X9)) @ (dsetconstr @ X8 @ X9) = $false) | (X9 @ (sK2 @ X8 @ (dsetconstr @ X8 @ X9)) = $false) | (in @ (sK2 @ X8 @ (dsetconstr @ X8 @ X9)) @ X8 = $false) | dsetconstr @ X8 @ X9 = X8) )), 0.20/0.51 inference(trivial_inequality_removal,[],[f211])). 0.20/0.51 tff(f293,plain,( 0.20/0.51 ( ! [X4,X5:'$i' -> '$o'] : (($false = $true) | (X5 @ (sK2 @ X4 @ (dsetconstr @ X4 @ X5)) = $false) | (in @ (sK2 @ X4 @ (dsetconstr @ X4 @ X5)) @ X4 = $false) | dsetconstr @ X4 @ X5 = X4 | (X5 @ (sK2 @ X4 @ (dsetconstr @ X4 @ X5)) = $false) | (in @ (sK2 @ X4 @ (dsetconstr @ X4 @ X5)) @ X4 = $false)) )), 0.20/0.51 inference(superposition,[],[f212,f42])). 0.20/0.51 tff(f301,plain,( 0.20/0.51 ( ! [X4,X5:'$i' -> '$o'] : (($false = $true) | (X5 @ (sK2 @ X4 @ (dsetconstr @ X4 @ X5)) = $false) | (in @ (sK2 @ X4 @ (dsetconstr @ X4 @ X5)) @ X4 = $false) | dsetconstr @ X4 @ X5 = X4) )), 0.20/0.51 inference(duplicate_literal_removal,[],[f293])). 0.20/0.51 tff(f302,plain,( 0.20/0.51 ( ! [X4,X5:'$i' -> '$o'] : ((in @ (sK2 @ X4 @ (dsetconstr @ X4 @ X5)) @ X4 = $false) | (X5 @ (sK2 @ X4 @ (dsetconstr @ X4 @ X5)) = $false) | dsetconstr @ X4 @ X5 = X4) )), 0.20/0.51 inference(trivial_inequality_removal,[],[f301])). 0.20/0.51 tff(f304,plain,( 0.20/0.51 ($false = $true) | (kCOMB @ $true @ (sK2 @ sK0 @ (dsetconstr @ sK0 @ (kCOMB @ $true))) = $false) | dsetconstr @ sK0 @ (kCOMB @ $true) = sK0), 0.20/0.51 inference(superposition,[],[f302,f147])). 0.20/0.51 tff(f326,plain,( 0.20/0.51 (kCOMB @ $true @ (sK2 @ sK0 @ (dsetconstr @ sK0 @ (kCOMB @ $true))) = $false) | dsetconstr @ sK0 @ (kCOMB @ $true) = sK0), 0.20/0.51 inference(trivial_inequality_removal,[],[f304])). 0.20/0.51 tff(f327,plain,( 0.20/0.51 ($false = $true) | dsetconstr @ sK0 @ (kCOMB @ $true) = sK0), 0.20/0.51 inference(combinator_demodulation,[],[f326])). 0.20/0.51 tff(f328,plain,( 0.20/0.51 dsetconstr @ sK0 @ (kCOMB @ $true) = sK0), 0.20/0.51 inference(trivial_inequality_removal,[],[f327])). 0.20/0.51 tff(f331,plain,( 0.20/0.51 $false), 0.20/0.51 inference(subsumption_resolution,[],[f328,f21])). 0.20/0.51 % SZS output end Proof for theBenchmark 0.20/0.51 % (24704)------------------------------ 0.20/0.51 % (24704)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.20/0.51 % (24704)Termination reason: Refutation 0.20/0.51 0.20/0.51 % (24704)Memory used [KB]: 5628 0.20/0.51 % (24704)Time elapsed: 0.111 s 0.20/0.51 % (24704)------------------------------ 0.20/0.51 % (24704)------------------------------ 0.20/0.51 % (24699)Success in time 0.154 s 0.20/0.51 EOF