0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.36 % Computer : n021.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Aug 9 04:30:05 EDT 2022 0.14/0.36 % CPUTime : 0.14/0.37 This is a TFF_ problem 0.14/0.37 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.37 % (5072)Running in auto input_syntax mode. Trying TPTP 0.22/0.44 % (5077)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.22/0.44 % (5074)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.22/0.44 % (5078)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.22/0.44 % (5080)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.22/0.44 % (5073)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.22/0.44 % (5079)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=on:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.22/0.46 % (5076)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.22/0.46 % (5075)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=on:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.22/0.47 % (5077)First to succeed. 0.22/0.47 % (5077)Refutation found. Thanks to Tanya! 0.22/0.47 % SZS status Theorem for theBenchmark 0.22/0.47 % SZS output start Proof for theBenchmark 0.22/0.47 tff(type_def_5, type, uni: $tType). 0.22/0.47 tff(type_def_6, type, ty: $tType). 0.22/0.47 tff(type_def_7, type, bool: $tType). 0.22/0.47 tff(type_def_8, type, tuple0: $tType). 0.22/0.47 tff(func_def_0, type, witness: (ty) > uni). 0.22/0.47 tff(func_def_1, type, int: ty). 0.22/0.47 tff(func_def_2, type, real: ty). 0.22/0.47 tff(func_def_3, type, bool1: ty). 0.22/0.47 tff(func_def_4, type, true: bool). 0.22/0.47 tff(func_def_5, type, false: bool). 0.22/0.47 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 0.22/0.47 tff(func_def_7, type, tuple01: ty). 0.22/0.47 tff(func_def_8, type, tuple02: tuple0). 0.22/0.47 tff(func_def_9, type, qtmark: ty). 0.22/0.47 tff(func_def_10, type, abs: ($int) > $int). 0.22/0.47 tff(func_def_11, type, div: ($int * $int) > $int). 0.22/0.47 tff(func_def_12, type, mod: ($int * $int) > $int). 0.22/0.47 tff(func_def_13, type, gcd: ($int * $int) > $int). 0.22/0.47 tff(func_def_14, type, ref: (ty) > ty). 0.22/0.47 tff(func_def_15, type, mk_ref: (ty * uni) > uni). 0.22/0.47 tff(func_def_16, type, contents: (ty * uni) > uni). 0.22/0.47 tff(func_def_26, type, sK0: $int). 0.22/0.47 tff(func_def_27, type, sK1: $int). 0.22/0.47 tff(func_def_28, type, sK2: $int). 0.22/0.47 tff(func_def_29, type, sK3: $int). 0.22/0.47 tff(func_def_30, type, sK4: $int). 0.22/0.47 tff(func_def_31, type, sK5: $int). 0.22/0.47 tff(func_def_32, type, sK6: $int). 0.22/0.47 tff(func_def_33, type, sK7: $int). 0.22/0.47 tff(func_def_34, type, sK8: ($int) > $int). 0.22/0.47 tff(func_def_35, type, sK9: ($int) > $int). 0.22/0.47 tff(func_def_36, type, sK10: ($int * $int) > $int). 0.22/0.47 tff(func_def_37, type, sK11: ($int * $int * $int) > $int). 0.22/0.47 tff(pred_def_1, type, sort: (ty * uni) > $o). 0.22/0.47 tff(pred_def_2, type, divides: ($int * $int) > $o). 0.22/0.47 tff(pred_def_3, type, even: ($int) > $o). 0.22/0.47 tff(pred_def_4, type, odd: ($int) > $o). 0.22/0.47 tff(f379,plain,( 0.22/0.47 $false), 0.22/0.47 inference(subsumption_resolution,[],[f277,f280])). 0.22/0.47 tff(f280,plain,( 0.22/0.47 ( ! [X8 : $int,X9 : $int] : ($sum($product(X8,sK0),$product(X9,sK1)) != sK7) )), 0.22/0.47 inference(cnf_transformation,[],[f253])). 0.22/0.47 tff(f253,plain,( 0.22/0.47 (! [X8 : $int,X9 : $int] : $sum($product(X8,sK0),$product(X9,sK1)) != sK7 & ~$less(0,sK6) & ~$less(sK6,0) & sK7 = $sum($product(sK5,sK0),$product(sK4,sK1)) & sK6 = $sum($product(sK3,sK0),$product(sK2,sK1)) & gcd(sK0,sK1) = gcd(sK7,sK6) & ~$less(sK7,0)) & ~$less(sK0,0) & ~$less(sK1,0)), 0.22/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f177,f252,f251])). 0.22/0.47 tff(f251,plain,( 0.22/0.47 ? [X0 : $int,X1 : $int] : (? [X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int,X7 : $int] : (! [X8 : $int,X9 : $int] : $sum($product(X8,X0),$product(X9,X1)) != X7 & ~$less(0,X6) & ~$less(X6,0) & $sum($product(X5,X0),$product(X4,X1)) = X7 & $sum($product(X3,X0),$product(X2,X1)) = X6 & gcd(X7,X6) = gcd(X0,X1) & ~$less(X7,0)) & ~$less(X0,0) & ~$less(X1,0)) => (? [X7 : $int,X6 : $int,X5 : $int,X4 : $int,X3 : $int,X2 : $int] : (! [X9 : $int,X8 : $int] : $sum($product(X8,sK0),$product(X9,sK1)) != X7 & ~$less(0,X6) & ~$less(X6,0) & $sum($product(X5,sK0),$product(X4,sK1)) = X7 & $sum($product(X3,sK0),$product(X2,sK1)) = X6 & gcd(X7,X6) = gcd(sK0,sK1) & ~$less(X7,0)) & ~$less(sK0,0) & ~$less(sK1,0))), 0.22/0.47 introduced(choice_axiom,[])). 0.22/0.47 tff(f252,plain,( 0.22/0.47 ? [X7 : $int,X6 : $int,X5 : $int,X4 : $int,X3 : $int,X2 : $int] : (! [X9 : $int,X8 : $int] : $sum($product(X8,sK0),$product(X9,sK1)) != X7 & ~$less(0,X6) & ~$less(X6,0) & $sum($product(X5,sK0),$product(X4,sK1)) = X7 & $sum($product(X3,sK0),$product(X2,sK1)) = X6 & gcd(X7,X6) = gcd(sK0,sK1) & ~$less(X7,0)) => (! [X9 : $int,X8 : $int] : $sum($product(X8,sK0),$product(X9,sK1)) != sK7 & ~$less(0,sK6) & ~$less(sK6,0) & sK7 = $sum($product(sK5,sK0),$product(sK4,sK1)) & sK6 = $sum($product(sK3,sK0),$product(sK2,sK1)) & gcd(sK0,sK1) = gcd(sK7,sK6) & ~$less(sK7,0))), 0.22/0.47 introduced(choice_axiom,[])). 0.22/0.47 tff(f177,plain,( 0.22/0.47 ? [X0 : $int,X1 : $int] : (? [X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int,X7 : $int] : (! [X8 : $int,X9 : $int] : $sum($product(X8,X0),$product(X9,X1)) != X7 & ~$less(0,X6) & ~$less(X6,0) & $sum($product(X5,X0),$product(X4,X1)) = X7 & $sum($product(X3,X0),$product(X2,X1)) = X6 & gcd(X7,X6) = gcd(X0,X1) & ~$less(X7,0)) & ~$less(X0,0) & ~$less(X1,0))), 0.22/0.47 inference(flattening,[],[f176])). 0.22/0.47 tff(f176,plain,( 0.22/0.47 ? [X0 : $int,X1 : $int] : (? [X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int,X7 : $int] : ((! [X8 : $int,X9 : $int] : $sum($product(X8,X0),$product(X9,X1)) != X7 & ~$less(0,X6)) & (~$less(X6,0) & $sum($product(X5,X0),$product(X4,X1)) = X7 & $sum($product(X3,X0),$product(X2,X1)) = X6 & gcd(X7,X6) = gcd(X0,X1) & ~$less(X7,0))) & (~$less(X0,0) & ~$less(X1,0)))), 0.22/0.47 inference(ennf_transformation,[],[f107])). 0.22/0.47 tff(f107,plain,( 0.22/0.47 ~! [X0 : $int,X1 : $int] : ((~$less(X0,0) & ~$less(X1,0)) => ! [X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int,X7 : $int] : ((~$less(X6,0) & $sum($product(X5,X0),$product(X4,X1)) = X7 & $sum($product(X3,X0),$product(X2,X1)) = X6 & gcd(X7,X6) = gcd(X0,X1) & ~$less(X7,0)) => (~$less(0,X6) => ? [X8 : $int,X9 : $int] : $sum($product(X8,X0),$product(X9,X1)) = X7)))), 0.22/0.47 inference(rectify,[],[f85])). 0.22/0.47 tff(f85,plain,( 0.22/0.47 ~! [X6 : $int,X7 : $int] : ((~$less(X6,0) & ~$less(X7,0)) => ! [X9 : $int,X4 : $int,X3 : $int,X2 : $int,X14 : $int,X11 : $int] : ((~$less(X14,0) & $sum($product(X2,X6),$product(X3,X7)) = X11 & $sum($product(X4,X6),$product(X9,X7)) = X14 & gcd(X6,X7) = gcd(X11,X14) & ~$less(X11,0)) => (~$less(0,X14) => ? [X15 : $int,X16 : $int] : $sum($product(X15,X6),$product(X16,X7)) = X11)))), 0.22/0.47 inference(theory_normalization,[],[f57])). 0.22/0.47 tff(f57,negated_conjecture,( 0.22/0.47 ~! [X6 : $int,X7 : $int] : (($lesseq(0,X6) & $lesseq(0,X7)) => ! [X9 : $int,X4 : $int,X3 : $int,X2 : $int,X14 : $int,X11 : $int] : (($lesseq(0,X14) & $sum($product(X2,X6),$product(X3,X7)) = X11 & $sum($product(X4,X6),$product(X9,X7)) = X14 & gcd(X6,X7) = gcd(X11,X14) & $lesseq(0,X11)) => (~$less(0,X14) => ? [X15 : $int,X16 : $int] : $sum($product(X15,X6),$product(X16,X7)) = X11)))), 0.22/0.47 inference(negated_conjecture,[],[f56])). 0.22/0.47 tff(f56,conjecture,( 0.22/0.47 ! [X6 : $int,X7 : $int] : (($lesseq(0,X6) & $lesseq(0,X7)) => ! [X9 : $int,X4 : $int,X3 : $int,X2 : $int,X14 : $int,X11 : $int] : (($lesseq(0,X14) & $sum($product(X2,X6),$product(X3,X7)) = X11 & $sum($product(X4,X6),$product(X9,X7)) = X14 & gcd(X6,X7) = gcd(X11,X14) & $lesseq(0,X11)) => (~$less(0,X14) => ? [X15 : $int,X16 : $int] : $sum($product(X15,X6),$product(X16,X7)) = X11)))), 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_gcd)). 0.22/0.47 tff(f277,plain,( 0.22/0.47 sK7 = $sum($product(sK5,sK0),$product(sK4,sK1))), 0.22/0.47 inference(cnf_transformation,[],[f253])). 0.22/0.47 % SZS output end Proof for theBenchmark 0.22/0.47 % (5077)------------------------------ 0.22/0.47 % (5077)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.22/0.47 % (5077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.22/0.47 % (5077)Termination reason: Refutation 0.22/0.47 0.22/0.47 % (5077)Memory used [KB]: 6524 0.22/0.47 % (5077)Time elapsed: 0.034 s 0.22/0.47 % (5077)------------------------------ 0.22/0.47 % (5077)------------------------------ 0.22/0.47 % (5072)Success in time 0.099 s 0.22/0.47 EOF