0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.11/0.33 % Computer : n004.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 04:34:20 EDT 2022 0.11/0.33 % CPUTime : 0.11/0.34 This is a THF_ problem 0.11/0.34 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 0.11/0.34 % (25431)Running in auto input_syntax mode. Trying TPTP 0.11/0.40 % (25436)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 0.11/0.40 % (25435)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 0.11/0.40 % (25437)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 0.11/0.40 % (25436)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.11/0.40 % (25436)First to succeed. 0.11/0.40 % (25435)Also succeeded, but the first one will report. 0.11/0.40 % (25436)Refutation found. Thanks to Tanya! 0.11/0.40 % SZS status Theorem for theBenchmark 0.11/0.40 % SZS output start Proof for theBenchmark 0.11/0.40 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType). 0.11/0.40 thf(func_def_3, type, c_less_: $i > $i > $o). 0.11/0.40 thf(func_def_5, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 0.11/0.40 thf(func_def_12, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 0.11/0.40 thf(func_def_13, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 0.11/0.40 thf(func_def_14, type, vAND: $o > $o > $o). 0.11/0.40 thf(func_def_15, type, vOR: $o > $o > $o). 0.11/0.40 thf(func_def_16, type, vIMP: $o > $o > $o). 0.11/0.40 thf(func_def_17, type, vNOT: $o > $o). 0.11/0.40 thf(func_def_18, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 0.11/0.40 thf(func_def_19, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 0.11/0.40 thf(func_def_20, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 0.11/0.40 thf(func_def_21, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 0.11/0.40 thf(f75,plain,( 0.11/0.40 $false), 0.11/0.40 inference(avatar_sat_refutation,[],[f51,f64,f74])). 0.11/0.40 thf(f74,plain,( 0.11/0.40 ~spl0_1), 0.11/0.40 inference(avatar_contradiction_clause,[],[f73])). 0.11/0.40 thf(f73,plain,( 0.11/0.40 $false | ~spl0_1), 0.11/0.40 inference(subsumption_resolution,[],[f65,f14])). 0.11/0.40 thf(f14,plain,( 0.11/0.40 ( ! [X2 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X2),X2))) )), 0.11/0.40 inference(equality_resolution,[],[f10])). 0.11/0.40 thf(f10,plain,( 0.11/0.40 ( ! [X2 : $i,X1 : $i] : ((X1 != X2) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X1),X2))) )), 0.11/0.40 inference(cnf_transformation,[],[f9])). 0.11/0.40 thf(f9,plain,( 0.11/0.40 ! [X0 : $i > $o] : (($true = vAPP($i,$o,X0,c)) | ($true != vAPP($i,$o,X0,b)) | ($true = vAPP($i,$o,X0,a))) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,a),b) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),c) = $true) & ! [X1,X2] : ((X1 != X2) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X1),X2)))), 0.11/0.40 inference(rectify,[],[f8])). 0.11/0.40 thf(f8,plain,( 0.11/0.40 ! [X2 : $i > $o] : ((vAPP($i,$o,X2,c) = $true) | (vAPP($i,$o,X2,b) != $true) | (vAPP($i,$o,X2,a) = $true)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,a),b) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),c) = $true) & ! [X0,X1] : ((X0 != X1) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),X1) != $true))), 0.11/0.40 inference(flattening,[],[f7])). 0.11/0.40 thf(f7,plain,( 0.11/0.40 (! [X2 : $i > $o] : ((vAPP($i,$o,X2,c) = $true) | (vAPP($i,$o,X2,b) != $true) | (vAPP($i,$o,X2,a) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,a),b) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),c) = $true))) & ! [X0,X1] : ((X0 != X1) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),X1) != $true))), 0.11/0.40 inference(ennf_transformation,[],[f6])). 0.11/0.40 thf(f6,plain,( 0.11/0.40 ~(! [X0,X1] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),X1) = $true) => (X0 != X1)) => (((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,a),b) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),c) = $true)) => ? [X2 : $i > $o] : ((vAPP($i,$o,X2,c) != $true) & (vAPP($i,$o,X2,b) = $true) & (vAPP($i,$o,X2,a) != $true))))), 0.11/0.40 inference(flattening,[],[f5])). 0.11/0.40 thf(f5,plain,( 0.11/0.40 ~(! [X0,X1] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),X1) = $true) => (X0 != X1)) => (((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,a),b) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),c) = $true)) => ? [X2 : $i > $o] : (~(vAPP($i,$o,X2,c) = $true) & (vAPP($i,$o,X2,b) = $true) & ~(vAPP($i,$o,X2,a) = $true))))), 0.11/0.40 inference(fool_elimination,[],[f4])). 0.11/0.40 thf(f4,plain,( 0.11/0.40 ~(! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),X1) => (X0 != X1)) => ((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,a),b) & vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),c)) => ? [X2 : $i > $o] : (~vAPP($i,$o,X2,c) & vAPP($i,$o,X2,b) & ~vAPP($i,$o,X2,a))))), 0.11/0.40 inference(rectify,[],[f2])). 0.11/0.40 thf(f2,negated_conjecture,( 0.11/0.40 ~(! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),X1) => (X0 != X1)) => ((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,a),b) & vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),c)) => ? [X2 : $i > $o] : (~vAPP($i,$o,X2,c) & vAPP($i,$o,X2,b) & ~vAPP($i,$o,X2,a))))), 0.11/0.40 inference(negated_conjecture,[],[f1])). 0.11/0.40 thf(f1,conjecture,( 0.11/0.40 ! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,X0),X1) => (X0 != X1)) => ((vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,a),b) & vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),c)) => ? [X2 : $i > $o] : (~vAPP($i,$o,X2,c) & vAPP($i,$o,X2,b) & ~vAPP($i,$o,X2,a)))), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.11/0.40 thf(f65,plain,( 0.11/0.40 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,c),c)) | ~spl0_1), 0.11/0.40 inference(backward_demodulation,[],[f11,f46])). 0.11/0.40 thf(f46,plain,( 0.11/0.40 (b = c) | ~spl0_1), 0.11/0.40 inference(avatar_component_clause,[],[f44])). 0.11/0.40 thf(f44,plain,( 0.11/0.40 spl0_1 <=> (b = c)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.11/0.40 thf(f11,plain,( 0.11/0.40 (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),c) = $true)), 0.11/0.40 inference(cnf_transformation,[],[f9])). 0.11/0.40 thf(f64,plain,( 0.11/0.40 ~spl0_2), 0.11/0.40 inference(avatar_contradiction_clause,[],[f63])). 0.11/0.40 thf(f63,plain,( 0.11/0.40 $false | ~spl0_2), 0.11/0.40 inference(subsumption_resolution,[],[f57,f14])). 0.11/0.40 thf(f57,plain,( 0.11/0.40 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,b),b)) | ~spl0_2), 0.11/0.40 inference(backward_demodulation,[],[f12,f50])). 0.11/0.40 thf(f50,plain,( 0.11/0.40 (a = b) | ~spl0_2), 0.11/0.40 inference(avatar_component_clause,[],[f48])). 0.11/0.40 thf(f48,plain,( 0.11/0.40 spl0_2 <=> (a = b)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.11/0.40 thf(f12,plain,( 0.11/0.40 (vAPP($i,$o,vAPP($i,sTfun($i,$o),c_less_,a),b) = $true)), 0.11/0.40 inference(cnf_transformation,[],[f9])). 0.11/0.40 thf(f51,plain,( 0.11/0.40 spl0_1 | spl0_2), 0.11/0.40 inference(avatar_split_clause,[],[f42,f48,f44])). 0.11/0.40 thf(f42,plain,( 0.11/0.40 (a = b) | (b = c)), 0.11/0.40 inference(equality_proxy_clausification,[],[f16])). 0.11/0.40 thf(f16,plain,( 0.11/0.40 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),b),a)) | (b = c)), 0.11/0.40 inference(leibniz_equality_elimination,[],[f13])). 0.11/0.40 thf(f13,plain,( 0.11/0.40 ( ! [X0 : $i > $o] : (($true != vAPP($i,$o,X0,b)) | ($true = vAPP($i,$o,X0,c)) | ($true = vAPP($i,$o,X0,a))) )), 0.11/0.40 inference(cnf_transformation,[],[f9])). 0.11/0.40 % SZS output end Proof for theBenchmark 0.11/0.40 % (25436)------------------------------ 0.11/0.40 % (25436)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.11/0.40 % (25436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.40 % (25436)Termination reason: Refutation 0.11/0.40 0.11/0.40 % (25436)Memory used [KB]: 5756 0.11/0.40 % (25436)Time elapsed: 0.006 s 0.11/0.40 % (25436)------------------------------ 0.11/0.40 % (25436)------------------------------ 0.11/0.40 % (25431)Success in time 0.061 s 0.11/0.41 EOF