0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.34 % Computer : n008.cluster.edu 0.15/0.34 % Model : x86_64 x86_64 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.34 % Memory : 8042.1875MB 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.34 % CPULimit : 960 0.15/0.34 % WCLimit : 120 0.15/0.34 % DateTime : Tue Aug 9 02:47:24 EDT 2022 0.15/0.34 % CPUTime : 0.15/0.35 This is a THF_ problem 0.15/0.35 Running vampire --ignore_missing on --mode portfolio --schedule casc_hol_2020 -p tptp -om szs --cores 8 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.35 % (28965)Running in auto input_syntax mode. Trying TPTP 0.15/0.40 % (28968)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 0.15/0.41 % (28968)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.15/0.41 % (28970)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 0.15/0.41 % (28972)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 0.15/0.41 % (28970)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.41 % (28966)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 0.15/0.41 % (28972)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.41 % (28971)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 0.15/0.42 % (28969)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 0.21/0.42 % (28967)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 0.21/0.42 % (28973)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 0.21/0.42 % (28973)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.53 % (28966)First to succeed. 0.21/0.53 % (28966)Refutation found. Thanks to Tanya! 0.21/0.53 % SZS status Theorem for theBenchmark 0.21/0.53 % SZS output start Proof for theBenchmark 0.21/0.53 thf(type_def_5, type, a: $tType). 0.21/0.53 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType). 0.21/0.53 thf(func_def_0, type, a: $tType). 0.21/0.53 thf(func_def_2, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 0.21/0.53 thf(func_def_5, type, sK0: a > a > a). 0.21/0.53 thf(func_def_6, type, sK1: a > a > a). 0.21/0.53 thf(func_def_7, type, sK2: a). 0.21/0.53 thf(func_def_8, type, sK3: a). 0.21/0.53 thf(func_def_9, type, sK4: a). 0.21/0.53 thf(func_def_10, type, sK5: a). 0.21/0.53 thf(func_def_11, type, sK6: a). 0.21/0.53 thf(func_def_12, type, sK7: a > a). 0.21/0.53 thf(func_def_16, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 0.21/0.53 thf(func_def_17, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 0.21/0.53 thf(func_def_18, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 0.21/0.53 thf(func_def_19, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 0.21/0.53 thf(func_def_20, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 0.21/0.53 thf(f1625,plain,( 0.21/0.53 $false), 0.21/0.53 inference(subsumption_resolution,[],[f1624,f32])). 0.21/0.53 thf(f32,plain,( 0.21/0.53 (sK5 != sK6)), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f11,plain,( 0.21/0.53 ((sK5 != sK6) & (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK6)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK6)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)) & (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5))) & ! [X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X7),X7) = X7) & ! [X8 : a,X9 : a,X10 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X8),X9)),X10) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X8),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X9),X10))) & ! [X11 : a,X12 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X11),X12) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X12),X11)) & ! [X13 : a,X14 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X13),X14) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X14),X13)) & ! [X15 : a,X16 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X15),X16)),X16) = X16) & ! [X17 : a,X18 : a,X19 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X17),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X18),X19)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X17),X18)),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X17),X19))) & ! [X20 : a,X21 : a,X22 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X20),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X21),X22)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X20),X21)),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X20),X22))) & ! [X23 : a] : (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK2),X23)) & ! [X24 : a] : ((sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X24),vAPP(a,a,sK7,X24))) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X24),vAPP(a,a,sK7,X24)))) & ! [X26 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK3),X26) = X26) & ! [X27 : a] : (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK3),X27)) & ! [X28 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK2),X28) = X28) & ! [X29 : a,X30 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X29),X30)),X30) = X30) & ! [X31 : a,X32 : a,X33 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X31),X32)),X33) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X31),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X32),X33))) & ! [X34 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X34),X34) = X34)), 0.21/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f7,f10,f9,f8])). 0.21/0.53 thf(f8,plain,( 0.21/0.53 ? [X0 : a > a > a,X1 : a > a > a,X2 : a,X3 : a] : (? [X4 : a,X5 : a,X6 : a] : ((X5 != X6) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X6) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X6) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5) = X2)) & ! [X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X7),X7) = X7) & ! [X8 : a,X9 : a,X10 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X8),X9)),X10) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X8),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X9),X10))) & ! [X11 : a,X12 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X11),X12) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X12),X11)) & ! [X13 : a,X14 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X13),X14) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),X13)) & ! [X15 : a,X16 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X15),X16)),X16) = X16) & ! [X17 : a,X18 : a,X19 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X17),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X18),X19)) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X17),X18)),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X17),X19))) & ! [X20 : a,X21 : a,X22 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X20),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X21),X22)) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X20),X21)),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X20),X22))) & ! [X23 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X2),X23) = X2) & ! [X24 : a] : ? [X25 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X24),X25) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X24),X25) = X3)) & ! [X26 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X3),X26) = X26) & ! [X27 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X3),X27) = X3) & ! [X28 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X2),X28) = X28) & ! [X29 : a,X30 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X29),X30)),X30) = X30) & ! [X31 : a,X32 : a,X33 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X31),X32)),X33) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X31),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X32),X33))) & ! [X34 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X34),X34) = X34)) => (? [X6 : a,X5 : a,X4 : a] : ((X5 != X6) & (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X4),X6)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X4),X6)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X4),X5)) & (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X4),X5))) & ! [X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X7),X7) = X7) & ! [X10 : a,X9 : a,X8 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X8),X9)),X10) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X8),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X9),X10))) & ! [X12 : a,X11 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X11),X12) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X12),X11)) & ! [X14 : a,X13 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X13),X14) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X14),X13)) & ! [X16 : a,X15 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X15),X16)),X16) = X16) & ! [X19 : a,X18 : a,X17 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X17),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X18),X19)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X17),X18)),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X17),X19))) & ! [X22 : a,X21 : a,X20 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X20),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X21),X22)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X20),X21)),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X20),X22))) & ! [X23 : a] : (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK2),X23)) & ! [X24 : a] : ? [X25 : a] : ((sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X24),X25)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X24),X25))) & ! [X26 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK3),X26) = X26) & ! [X27 : a] : (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK3),X27)) & ! [X28 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK2),X28) = X28) & ! [X30 : a,X29 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X29),X30)),X30) = X30) & ! [X33 : a,X32 : a,X31 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X31),X32)),X33) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X31),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X32),X33))) & ! [X34 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X34),X34) = X34))), 0.21/0.53 introduced(choice_axiom,[])). 0.21/0.53 thf(f9,plain,( 0.21/0.53 ? [X6 : a,X5 : a,X4 : a] : ((X5 != X6) & (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X4),X6)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X4),X6)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X4),X5)) & (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X4),X5))) => ((sK5 != sK6) & (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK6)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK6)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)) & (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)))), 0.21/0.53 introduced(choice_axiom,[])). 0.21/0.53 thf(f10,plain,( 0.21/0.53 ! [X24 : a] : (? [X25 : a] : ((sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X24),X25)) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X24),X25))) => ((sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X24),vAPP(a,a,sK7,X24))) & (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X24),vAPP(a,a,sK7,X24)))))), 0.21/0.53 introduced(choice_axiom,[])). 0.21/0.53 thf(f7,plain,( 0.21/0.53 ? [X0 : a > a > a,X1 : a > a > a,X2 : a,X3 : a] : (? [X4 : a,X5 : a,X6 : a] : ((X5 != X6) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X6) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X6) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5) = X2)) & ! [X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X7),X7) = X7) & ! [X8 : a,X9 : a,X10 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X8),X9)),X10) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X8),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X9),X10))) & ! [X11 : a,X12 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X11),X12) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X12),X11)) & ! [X13 : a,X14 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X13),X14) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),X13)) & ! [X15 : a,X16 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X15),X16)),X16) = X16) & ! [X17 : a,X18 : a,X19 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X17),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X18),X19)) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X17),X18)),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X17),X19))) & ! [X20 : a,X21 : a,X22 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X20),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X21),X22)) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X20),X21)),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X20),X22))) & ! [X23 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X2),X23) = X2) & ! [X24 : a] : ? [X25 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X24),X25) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X24),X25) = X3)) & ! [X26 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X3),X26) = X26) & ! [X27 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X3),X27) = X3) & ! [X28 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X2),X28) = X28) & ! [X29 : a,X30 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X29),X30)),X30) = X30) & ! [X31 : a,X32 : a,X33 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X31),X32)),X33) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X31),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X32),X33))) & ! [X34 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X34),X34) = X34))), 0.21/0.53 inference(rectify,[],[f6])). 0.21/0.53 thf(f6,plain,( 0.21/0.53 ? [X0 : a > a > a,X1 : a > a > a,X2 : a,X3 : a] : (? [X32 : a,X33 : a,X34 : a] : ((X33 != X34) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X32),X34) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X32),X34) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X32),X33) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X32),X33) = X2)) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X4) = X4) & ! [X5 : a,X6 : a,X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),X6)),X7) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X6),X7))) & ! [X8 : a,X9 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X8),X9) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X9),X8)) & ! [X10 : a,X11 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X10),X11) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X11),X10)) & ! [X12 : a,X13 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X12),X13)),X13) = X13) & ! [X14 : a,X15 : a,X16 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X15),X16)) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),X15)),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),X16))) & ! [X17 : a,X18 : a,X19 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X17),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X18),X19)) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X17),X18)),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X17),X19))) & ! [X20 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X2),X20) = X2) & ! [X21 : a] : ? [X22 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X21),X22) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X21),X22) = X3)) & ! [X23 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X3),X23) = X23) & ! [X24 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X3),X24) = X3) & ! [X25 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X2),X25) = X25) & ! [X26 : a,X27 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X26),X27)),X27) = X27) & ! [X28 : a,X29 : a,X30 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X28),X29)),X30) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X28),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X29),X30))) & ! [X31 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X31),X31) = X31))), 0.21/0.53 inference(flattening,[],[f5])). 0.21/0.53 thf(f5,plain,( 0.21/0.53 ? [X0 : a > a > a,X1 : a > a > a,X2 : a,X3 : a] : (? [X32 : a,X33 : a,X34 : a] : ((X33 != X34) & ((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X32),X34) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X32),X34) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X32),X33) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X32),X33) = X2))) & (! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X4) = X4) & ! [X5 : a,X6 : a,X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),X6)),X7) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X6),X7))) & ! [X8 : a,X9 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X8),X9) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X9),X8)) & ! [X10 : a,X11 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X10),X11) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X11),X10)) & ! [X12 : a,X13 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X12),X13)),X13) = X13) & ! [X14 : a,X15 : a,X16 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X15),X16)) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),X15)),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),X16))) & ! [X17 : a,X18 : a,X19 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X17),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X18),X19)) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X17),X18)),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X17),X19))) & ! [X20 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X2),X20) = X2) & ! [X21 : a] : ? [X22 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X21),X22) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X21),X22) = X3)) & ! [X23 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X3),X23) = X23) & ! [X24 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X3),X24) = X3) & ! [X25 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X2),X25) = X25) & ! [X26 : a,X27 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X26),X27)),X27) = X27) & ! [X28 : a,X29 : a,X30 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X28),X29)),X30) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X28),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X29),X30))) & ! [X31 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X31),X31) = X31)))), 0.21/0.53 inference(ennf_transformation,[],[f4])). 0.21/0.53 thf(f4,plain,( 0.21/0.53 ~! [X0 : a > a > a,X1 : a > a > a,X2 : a,X3 : a] : ((! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X4) = X4) & ! [X5 : a,X6 : a,X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),X6)),X7) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X6),X7))) & ! [X8 : a,X9 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X8),X9) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X9),X8)) & ! [X10 : a,X11 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X10),X11) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X11),X10)) & ! [X12 : a,X13 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X12),X13)),X13) = X13) & ! [X14 : a,X15 : a,X16 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X15),X16)) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),X15)),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X14),X16))) & ! [X17 : a,X18 : a,X19 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X17),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X18),X19)) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X17),X18)),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X17),X19))) & ! [X20 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X2),X20) = X2) & ! [X21 : a] : ? [X22 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X21),X22) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X21),X22) = X3)) & ! [X23 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X3),X23) = X23) & ! [X24 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X3),X24) = X3) & ! [X25 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X2),X25) = X25) & ! [X26 : a,X27 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X26),X27)),X27) = X27) & ! [X28 : a,X29 : a,X30 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X28),X29)),X30) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X28),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X29),X30))) & ! [X31 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X31),X31) = X31)) => ! [X32 : a,X33 : a,X34 : a] : (((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X32),X34) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X32),X34) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X32),X33) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X32),X33) = X2)) => (X33 = X34)))), 0.21/0.53 inference(rectify,[],[f2])). 0.21/0.53 thf(f2,negated_conjecture,( 0.21/0.53 ~! [X0 : a > a > a,X1 : a > a > a,X2 : a,X3 : a] : ((! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X4) = X4) & ! [X4 : a,X5 : a,X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5)),X6) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),X6))) & ! [X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),X4)) & ! [X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X5),X4)) & ! [X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5)),X5) = X5) & ! [X4 : a,X5 : a,X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),X6)) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5)),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X6))) & ! [X4 : a,X5 : a,X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X5),X6)) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5)),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X6))) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X2),X4) = X2) & ! [X4 : a] : ? [X5 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5) = X3)) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X3),X4) = X4) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X3),X4) = X3) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X2),X4) = X4) & ! [X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5)),X5) = X5) & ! [X4 : a,X5 : a,X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5)),X6) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X5),X6))) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X4) = X4)) => ! [X4 : a,X5 : a,X6 : a] : (((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X6) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X6) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5) = X2)) => (X5 = X6)))), 0.21/0.53 inference(negated_conjecture,[],[f1])). 0.21/0.53 thf(f1,conjecture,( 0.21/0.53 ! [X0 : a > a > a,X1 : a > a > a,X2 : a,X3 : a] : ((! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X4) = X4) & ! [X4 : a,X5 : a,X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5)),X6) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),X6))) & ! [X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),X4)) & ! [X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X5),X4)) & ! [X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5)),X5) = X5) & ! [X4 : a,X5 : a,X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X5),X6)) = vAPP(a,a,vAPP(a,sTfun(a,a),X0,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5)),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X6))) & ! [X4 : a,X5 : a,X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X5),X6)) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5)),vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X6))) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X2),X4) = X2) & ! [X4 : a] : ? [X5 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5) = X3)) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X3),X4) = X4) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X3),X4) = X3) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X2),X4) = X4) & ! [X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5)),X5) = X5) & ! [X4 : a,X5 : a,X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5)),X6) = vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),vAPP(a,a,vAPP(a,sTfun(a,a),X1,X5),X6))) & ! [X4 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X4) = X4)) => ! [X4 : a,X5 : a,X6 : a] : (((vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X6) = X2) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X6) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X1,X4),X5) = X3) & (vAPP(a,a,vAPP(a,sTfun(a,a),X0,X4),X5) = X2)) => (X5 = X6)))), 0.21/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.53 thf(f1624,plain,( 0.21/0.53 (sK5 = sK6)), 0.21/0.53 inference(forward_demodulation,[],[f1605,f1604])). 0.21/0.53 thf(f1604,plain,( 0.21/0.53 (sK5 = vAPP(a,a,sK7,sK4))), 0.21/0.53 inference(superposition,[],[f1568,f869])). 0.21/0.53 thf(f869,plain,( 0.21/0.53 (sK4 = vAPP(a,a,sK7,sK5))), 0.21/0.53 inference(forward_demodulation,[],[f868,f70])). 0.21/0.53 thf(f70,plain,( 0.21/0.53 ( ! [X1 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X1),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)) = X1)) )), 0.21/0.53 inference(superposition,[],[f46,f24])). 0.21/0.53 thf(f24,plain,( 0.21/0.53 ( ! [X14 : a,X13 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X13),X14) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X14),X13))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f46,plain,( 0.21/0.53 ( ! [X28 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)),X28) = X28)) )), 0.21/0.53 inference(forward_demodulation,[],[f40,f34])). 0.21/0.53 thf(f34,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5))), 0.21/0.53 inference(definition_unfolding,[],[f28,f31])). 0.21/0.53 thf(f31,plain,( 0.21/0.53 (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK6))), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f28,plain,( 0.21/0.53 (sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5))), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f40,plain,( 0.21/0.53 ( ! [X28 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK6)),X28) = X28)) )), 0.21/0.53 inference(definition_unfolding,[],[f15,f31])). 0.21/0.53 thf(f15,plain,( 0.21/0.53 ( ! [X28 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK2),X28) = X28)) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f868,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)) = vAPP(a,a,sK7,sK5))), 0.21/0.53 inference(forward_demodulation,[],[f854,f776])). 0.21/0.53 thf(f776,plain,( 0.21/0.53 (vAPP(a,a,sK7,sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,sK7,sK5)))), 0.21/0.53 inference(superposition,[],[f14,f742])). 0.21/0.53 thf(f742,plain,( 0.21/0.53 (sK4 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,sK7,sK5)))), 0.21/0.53 inference(forward_demodulation,[],[f741,f27])). 0.21/0.53 thf(f27,plain,( 0.21/0.53 ( ! [X7 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X7),X7) = X7)) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f741,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,sK7,sK5)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK4))), 0.21/0.53 inference(forward_demodulation,[],[f727,f451])). 0.21/0.53 thf(f451,plain,( 0.21/0.53 ( ! [X5 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X5),sK5)))) )), 0.21/0.53 inference(superposition,[],[f21,f70])). 0.21/0.53 thf(f21,plain,( 0.21/0.53 ( ! [X21 : a,X22 : a,X20 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X20),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X21),X22)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X20),X21)),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X20),X22)))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f727,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,sK7,sK5)))), 0.21/0.53 inference(superposition,[],[f452,f43])). 0.21/0.53 thf(f43,plain,( 0.21/0.53 ( ! [X24 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X24),vAPP(a,a,sK7,X24)))) )), 0.21/0.53 inference(forward_demodulation,[],[f37,f33])). 0.21/0.53 thf(f33,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5))), 0.21/0.53 inference(definition_unfolding,[],[f29,f30])). 0.21/0.53 thf(f30,plain,( 0.21/0.53 (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK6))), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f29,plain,( 0.21/0.53 (sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5))), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f37,plain,( 0.21/0.53 ( ! [X24 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X24),vAPP(a,a,sK7,X24)))) )), 0.21/0.53 inference(definition_unfolding,[],[f18,f30])). 0.21/0.53 thf(f18,plain,( 0.21/0.53 ( ! [X24 : a] : ((sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X24),vAPP(a,a,sK7,X24)))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f452,plain,( 0.21/0.53 ( ! [X6 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),X6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK5),X6)))) )), 0.21/0.53 inference(superposition,[],[f21,f46])). 0.21/0.53 thf(f14,plain,( 0.21/0.53 ( ! [X29 : a,X30 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X29),X30)),X30) = X30)) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f854,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,sK7,sK5)))), 0.21/0.53 inference(superposition,[],[f629,f42])). 0.21/0.53 thf(f42,plain,( 0.21/0.53 ( ! [X24 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X24),vAPP(a,a,sK7,X24)))) )), 0.21/0.53 inference(forward_demodulation,[],[f36,f34])). 0.21/0.53 thf(f36,plain,( 0.21/0.53 ( ! [X24 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X24),vAPP(a,a,sK7,X24)))) )), 0.21/0.53 inference(definition_unfolding,[],[f19,f31])). 0.21/0.53 thf(f19,plain,( 0.21/0.53 ( ! [X24 : a] : ((sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X24),vAPP(a,a,sK7,X24)))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f629,plain,( 0.21/0.53 ( ! [X6 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),X6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK5),X6)))) )), 0.21/0.53 inference(superposition,[],[f22,f44])). 0.21/0.53 thf(f44,plain,( 0.21/0.53 ( ! [X26 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)),X26) = X26)) )), 0.21/0.53 inference(forward_demodulation,[],[f38,f33])). 0.21/0.53 thf(f38,plain,( 0.21/0.53 ( ! [X26 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK6)),X26) = X26)) )), 0.21/0.53 inference(definition_unfolding,[],[f17,f30])). 0.21/0.53 thf(f17,plain,( 0.21/0.53 ( ! [X26 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK3),X26) = X26)) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f22,plain,( 0.21/0.53 ( ! [X18 : a,X19 : a,X17 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X17),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X18),X19)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X17),X18)),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X17),X19)))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f1568,plain,( 0.21/0.53 ( ! [X0 : a] : ((vAPP(a,a,sK7,vAPP(a,a,sK7,X0)) = X0)) )), 0.21/0.53 inference(backward_demodulation,[],[f1479,f1567])). 0.21/0.53 thf(f1567,plain,( 0.21/0.53 ( ! [X7 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X7),vAPP(a,a,sK7,vAPP(a,a,sK7,X7))) = X7)) )), 0.21/0.53 inference(forward_demodulation,[],[f1525,f70])). 0.21/0.53 thf(f1525,plain,( 0.21/0.53 ( ! [X7 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X7),vAPP(a,a,sK7,vAPP(a,a,sK7,X7))) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X7),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)))) )), 0.21/0.53 inference(superposition,[],[f667,f1157])). 0.21/0.53 thf(f1157,plain,( 0.21/0.53 ( ! [X0 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,sK7,X0)),X0))) )), 0.21/0.53 inference(superposition,[],[f377,f82])). 0.21/0.53 thf(f82,plain,( 0.21/0.53 ( ! [X4 : a,X5 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X5),X4) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X5),X4)))) )), 0.21/0.53 inference(superposition,[],[f23,f51])). 0.21/0.53 thf(f51,plain,( 0.21/0.53 ( ! [X2 : a,X1 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X2),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X1),X2)) = X2)) )), 0.21/0.53 inference(superposition,[],[f24,f14])). 0.21/0.53 thf(f23,plain,( 0.21/0.53 ( ! [X16 : a,X15 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X15),X16)),X16) = X16)) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f377,plain,( 0.21/0.53 ( ! [X26 : a,X27 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X26),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,sK7,X26)),X27)))) )), 0.21/0.53 inference(backward_demodulation,[],[f371,f343])). 0.21/0.53 thf(f343,plain,( 0.21/0.53 ( ! [X0 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK5),X0)))) )), 0.21/0.53 inference(superposition,[],[f26,f41])). 0.21/0.53 thf(f41,plain,( 0.21/0.53 ( ! [X23 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)),X23))) )), 0.21/0.53 inference(forward_demodulation,[],[f35,f34])). 0.21/0.53 thf(f35,plain,( 0.21/0.53 ( ! [X23 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK6)),X23))) )), 0.21/0.53 inference(definition_unfolding,[],[f20,f31,f31])). 0.21/0.53 thf(f20,plain,( 0.21/0.53 ( ! [X23 : a] : ((sK2 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK2),X23))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f26,plain,( 0.21/0.53 ( ! [X10 : a,X8 : a,X9 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X8),X9)),X10) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X8),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X9),X10)))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f371,plain,( 0.21/0.53 ( ! [X26 : a,X27 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X26),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,sK7,X26)),X27)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK5),X27)))) )), 0.21/0.53 inference(forward_demodulation,[],[f336,f26])). 0.21/0.53 thf(f336,plain,( 0.21/0.53 ( ! [X26 : a,X27 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X26),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,sK7,X26)),X27)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)),X27))) )), 0.21/0.53 inference(superposition,[],[f26,f42])). 0.21/0.53 thf(f667,plain,( 0.21/0.53 ( ! [X29 : a,X30 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X29),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X30),vAPP(a,a,sK7,X29))) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X29),X30))) )), 0.21/0.53 inference(forward_demodulation,[],[f603,f65])). 0.21/0.53 thf(f65,plain,( 0.21/0.53 ( ! [X1 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X1),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)) = X1)) )), 0.21/0.53 inference(superposition,[],[f44,f25])). 0.21/0.53 thf(f25,plain,( 0.21/0.53 ( ! [X11 : a,X12 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X11),X12) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X12),X11))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f603,plain,( 0.21/0.53 ( ! [X29 : a,X30 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X29),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X30),vAPP(a,a,sK7,X29))) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X29),X30)),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)))) )), 0.21/0.53 inference(superposition,[],[f22,f43])). 0.21/0.53 thf(f1479,plain,( 0.21/0.53 ( ! [X0 : a] : ((vAPP(a,a,sK7,vAPP(a,a,sK7,X0)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X0),vAPP(a,a,sK7,vAPP(a,a,sK7,X0))))) )), 0.21/0.53 inference(superposition,[],[f14,f1411])). 0.21/0.53 thf(f1411,plain,( 0.21/0.53 ( ! [X17 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X17),vAPP(a,a,sK7,vAPP(a,a,sK7,X17))) = X17)) )), 0.21/0.53 inference(forward_demodulation,[],[f1403,f65])). 0.21/0.53 thf(f1403,plain,( 0.21/0.53 ( ! [X17 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X17),vAPP(a,a,sK7,vAPP(a,a,sK7,X17))) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X17),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)))) )), 0.21/0.53 inference(superposition,[],[f476,f1355])). 0.21/0.53 thf(f1355,plain,( 0.21/0.53 ( ! [X2 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,sK7,X2)),X2))) )), 0.21/0.53 inference(superposition,[],[f110,f271])). 0.21/0.53 thf(f271,plain,( 0.21/0.53 ( ! [X26 : a,X25 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X25),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,sK7,X25)),X26)))) )), 0.21/0.53 inference(forward_demodulation,[],[f244,f45])). 0.21/0.53 thf(f45,plain,( 0.21/0.53 ( ! [X27 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)),X27))) )), 0.21/0.53 inference(forward_demodulation,[],[f39,f33])). 0.21/0.53 thf(f39,plain,( 0.21/0.53 ( ! [X27 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK6)),X27))) )), 0.21/0.53 inference(definition_unfolding,[],[f16,f30,f30])). 0.21/0.53 thf(f16,plain,( 0.21/0.53 ( ! [X27 : a] : ((sK3 = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK3),X27))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f244,plain,( 0.21/0.53 ( ! [X26 : a,X25 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X25),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,sK7,X25)),X26)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)),X26))) )), 0.21/0.53 inference(superposition,[],[f13,f43])). 0.21/0.53 thf(f13,plain,( 0.21/0.53 ( ! [X31 : a,X32 : a,X33 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X31),X32)),X33) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X31),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X32),X33)))) )), 0.21/0.53 inference(cnf_transformation,[],[f11])). 0.21/0.53 thf(f110,plain,( 0.21/0.53 ( ! [X6 : a,X7 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X7),X6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X6),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X7),X6)))) )), 0.21/0.53 inference(superposition,[],[f14,f57])). 0.21/0.53 thf(f57,plain,( 0.21/0.53 ( ! [X2 : a,X1 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X2),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X1),X2)) = X2)) )), 0.21/0.53 inference(superposition,[],[f25,f23])). 0.21/0.53 thf(f476,plain,( 0.21/0.53 ( ! [X26 : a,X27 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X26),X27) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X26),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X27),vAPP(a,a,sK7,X26))))) )), 0.21/0.53 inference(forward_demodulation,[],[f425,f70])). 0.21/0.53 thf(f425,plain,( 0.21/0.53 ( ! [X26 : a,X27 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X26),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,X27),vAPP(a,a,sK7,X26))) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,X26),X27)),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)))) )), 0.21/0.53 inference(superposition,[],[f21,f42])). 0.21/0.53 thf(f1605,plain,( 0.21/0.53 (sK6 = vAPP(a,a,sK7,sK4))), 0.21/0.53 inference(superposition,[],[f1568,f981])). 0.21/0.53 thf(f981,plain,( 0.21/0.53 (sK4 = vAPP(a,a,sK7,sK6))), 0.21/0.53 inference(forward_demodulation,[],[f980,f70])). 0.21/0.53 thf(f980,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)) = vAPP(a,a,sK7,sK6))), 0.21/0.53 inference(forward_demodulation,[],[f965,f827])). 0.21/0.53 thf(f827,plain,( 0.21/0.53 (vAPP(a,a,sK7,sK6) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,sK7,sK6)))), 0.21/0.53 inference(superposition,[],[f14,f820])). 0.21/0.53 thf(f820,plain,( 0.21/0.53 (sK4 = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,sK7,sK6)))), 0.21/0.53 inference(forward_demodulation,[],[f819,f27])). 0.21/0.53 thf(f819,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK4) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,sK7,sK6)))), 0.21/0.53 inference(forward_demodulation,[],[f804,f451])). 0.21/0.53 thf(f804,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,sK7,sK6)))), 0.21/0.53 inference(superposition,[],[f507,f43])). 0.21/0.53 thf(f507,plain,( 0.21/0.53 ( ! [X43 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),X43) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK6),X43)))) )), 0.21/0.53 inference(backward_demodulation,[],[f506,f452])). 0.21/0.53 thf(f506,plain,( 0.21/0.53 ( ! [X43 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK6),X43)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK5),X43)))) )), 0.21/0.53 inference(forward_demodulation,[],[f449,f21])). 0.21/0.53 thf(f449,plain,( 0.21/0.53 ( ! [X43 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK6),X43)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),X43)))) )), 0.21/0.53 inference(superposition,[],[f21,f34])). 0.21/0.53 thf(f965,plain,( 0.21/0.53 (vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK4),sK5)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,sK7,sK6)))), 0.21/0.53 inference(superposition,[],[f697,f42])). 0.21/0.53 thf(f697,plain,( 0.21/0.53 ( ! [X44 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),X44) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK6),X44)))) )), 0.21/0.53 inference(backward_demodulation,[],[f696,f629])). 0.21/0.53 thf(f696,plain,( 0.21/0.53 ( ! [X44 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK6),X44)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK5),X44)))) )), 0.21/0.53 inference(forward_demodulation,[],[f626,f22])). 0.21/0.53 thf(f626,plain,( 0.21/0.53 ( ! [X44 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),vAPP(a,a,vAPP(a,sTfun(a,a),sK0,sK6),X44)) = vAPP(a,a,vAPP(a,sTfun(a,a),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),sK5)),vAPP(a,a,vAPP(a,sTfun(a,a),sK1,sK4),X44)))) )), 0.21/0.53 inference(superposition,[],[f22,f33])). 0.21/0.53 % SZS output end Proof for theBenchmark 0.21/0.53 % (28966)------------------------------ 0.21/0.53 % (28966)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.21/0.53 % (28966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.21/0.53 % (28966)Termination reason: Refutation 0.21/0.53 0.21/0.53 % (28966)Memory used [KB]: 2814 0.21/0.53 % (28966)Time elapsed: 0.120 s 0.21/0.53 % (28966)------------------------------ 0.21/0.53 % (28966)------------------------------ 0.21/0.53 % (28965)Success in time 0.181 s 0.21/0.54 EOF