0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.11/0.32 % Computer : n004.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 03:55:50 EDT 2022 0.11/0.32 % CPUTime : 0.11/0.32 This is a THF_ problem 0.11/0.32 Running vampire --ignore_missing on --mode portfolio --schedule casc_hol_2020 -p tptp -om szs --cores 8 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.33 % (28740)Running in auto input_syntax mode. Trying TPTP 0.17/0.38 % (28746)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 0.17/0.38 % (28743)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 0.17/0.38 % (28742)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 0.17/0.38 % (28745)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 0.17/0.38 % (28741)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 0.17/0.38 % (28747)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 0.17/0.38 % (28748)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 0.17/0.38 % (28747)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.17/0.38 % (28745)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.17/0.38 % (28748)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.17/0.38 % (28743)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.17/0.38 % (28744)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 0.17/0.39 % (28745)First to succeed. 0.17/0.39 % (28743)Also succeeded, but the first one will report. 0.17/0.39 % (28744)Also succeeded, but the first one will report. 0.17/0.39 % (28745)Refutation found. Thanks to Tanya! 0.17/0.39 % SZS status Theorem for theBenchmark 0.17/0.39 % SZS output start Proof for theBenchmark 0.17/0.39 thf(type_def_5, type, a: $tType). 0.17/0.39 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType). 0.17/0.39 thf(func_def_0, type, a: $tType). 0.17/0.39 thf(func_def_1, type, cP: a > a > a). 0.17/0.39 thf(func_def_2, type, cE: a). 0.17/0.39 thf(func_def_3, type, cJ: a > a). 0.17/0.39 thf(func_def_5, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 0.17/0.39 thf(func_def_8, type, sK0: a). 0.17/0.39 thf(func_def_9, type, sK1: a). 0.17/0.39 thf(func_def_14, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 0.17/0.39 thf(func_def_15, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 0.17/0.39 thf(func_def_16, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 0.17/0.39 thf(func_def_17, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 0.17/0.39 thf(func_def_18, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 0.17/0.39 thf(f92,plain,( 0.17/0.39 $false), 0.17/0.39 inference(unit_resulting_resolution,[],[f13,f56])). 0.17/0.39 thf(f56,plain,( 0.17/0.39 ( ! [X4 : a,X5 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X4)),X5)) = X5)) )), 0.17/0.39 inference(superposition,[],[f23,f17])). 0.17/0.39 thf(f17,plain,( 0.17/0.39 ( ! [X2 : a,X3 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X2)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X2),X3)) = X3)) )), 0.17/0.39 inference(forward_demodulation,[],[f15,f11])). 0.17/0.39 thf(f11,plain,( 0.17/0.39 ( ! [X6 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X6) = X6)) )), 0.17/0.39 inference(cnf_transformation,[],[f9])). 0.17/0.39 thf(f9,plain,( 0.17/0.39 ! [X2 : a] : (sK1 != vAPP(a,a,vAPP(a,sTfun(a,a),cP,sK0),X2)) & ! [X3 : a,X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X4)),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5))) & ! [X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X6) = X6) & ! [X7 : a] : (cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X7)),X7))), 0.17/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8])). 0.17/0.39 thf(f8,plain,( 0.17/0.39 ? [X0 : a,X1 : a] : ! [X2 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X2) != X1) => ! [X2 : a] : (sK1 != vAPP(a,a,vAPP(a,sTfun(a,a),cP,sK0),X2))), 0.17/0.39 introduced(choice_axiom,[])). 0.17/0.39 thf(f7,plain,( 0.17/0.39 ? [X0 : a,X1 : a] : ! [X2 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X2) != X1) & ! [X3 : a,X4 : a,X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X4)),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5))) & ! [X6 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X6) = X6) & ! [X7 : a] : (cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X7)),X7))), 0.17/0.39 inference(rectify,[],[f6])). 0.17/0.39 thf(f6,plain,( 0.17/0.39 ? [X5 : a,X6 : a] : ! [X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,X5),X7) != X6) & ! [X0 : a,X1 : a,X2 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X1)),X2) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X1),X2))) & ! [X3 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X3) = X3) & ! [X4 : a] : (cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X4)),X4))), 0.17/0.39 inference(flattening,[],[f5])). 0.17/0.39 thf(f5,plain,( 0.17/0.39 ? [X5 : a,X6 : a] : ! [X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,X5),X7) != X6) & (! [X0 : a,X1 : a,X2 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X1)),X2) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X1),X2))) & ! [X3 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X3) = X3) & ! [X4 : a] : (cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X4)),X4)))), 0.17/0.39 inference(ennf_transformation,[],[f4])). 0.17/0.39 thf(f4,plain,( 0.17/0.39 ~((! [X0 : a,X1 : a,X2 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X1)),X2) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X1),X2))) & ! [X3 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X3) = X3) & ! [X4 : a] : (cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X4)),X4))) => ! [X5 : a,X6 : a] : ? [X7 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,X5),X7) = X6))), 0.17/0.39 inference(rectify,[],[f2])). 0.17/0.39 thf(f2,negated_conjecture,( 0.17/0.39 ~((! [X1 : a,X0 : a,X2 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X1),X0)),X2) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X1),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X2))) & ! [X1 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X1) = X1) & ! [X0 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X0)),X0) = cE)) => ! [X3 : a,X4 : a] : ? [X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X5) = X4))), 0.17/0.39 inference(negated_conjecture,[],[f1])). 0.17/0.39 thf(f1,conjecture,( 0.17/0.39 (! [X1 : a,X0 : a,X2 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X1),X0)),X2) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X1),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X2))) & ! [X1 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X1) = X1) & ! [X0 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X0)),X0) = cE)) => ! [X3 : a,X4 : a] : ? [X5 : a] : (vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X5) = X4)), 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.17/0.39 thf(f15,plain,( 0.17/0.39 ( ! [X2 : a,X3 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X3) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X2)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X2),X3)))) )), 0.17/0.39 inference(superposition,[],[f12,f10])). 0.17/0.39 thf(f10,plain,( 0.17/0.39 ( ! [X7 : a] : ((cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X7)),X7))) )), 0.17/0.39 inference(cnf_transformation,[],[f9])). 0.17/0.39 thf(f12,plain,( 0.17/0.39 ( ! [X3 : a,X4 : a,X5 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X4)),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5)))) )), 0.17/0.39 inference(cnf_transformation,[],[f9])). 0.17/0.39 thf(f23,plain,( 0.17/0.39 ( ! [X6 : a,X5 : a] : ((vAPP(a,a,vAPP(a,sTfun(a,a),cP,X5),X6) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,vAPP(a,a,cJ,X5))),X6))) )), 0.17/0.39 inference(superposition,[],[f17,f17])). 0.17/0.39 thf(f13,plain,( 0.17/0.39 ( ! [X2 : a] : ((sK1 != vAPP(a,a,vAPP(a,sTfun(a,a),cP,sK0),X2))) )), 0.17/0.39 inference(cnf_transformation,[],[f9])). 0.17/0.39 % SZS output end Proof for theBenchmark 0.17/0.39 % (28745)------------------------------ 0.17/0.39 % (28745)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.39 % (28745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.39 % (28745)Termination reason: Refutation 0.17/0.39 0.17/0.39 % (28745)Memory used [KB]: 5756 0.17/0.39 % (28745)Time elapsed: 0.010 s 0.17/0.39 % (28745)------------------------------ 0.17/0.39 % (28745)------------------------------ 0.17/0.39 % (28740)Success in time 0.064 s 0.17/0.39 EOF