0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : vampire --mode casc -t %d %s 0.11/0.32 % Computer : n018.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 % DateTime : Thu Jul 2 08:10:52 EDT 2020 0.11/0.32 % CPUTime : 0.16/0.40 % 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 3.21/3.39 % Time limit reached! 3.21/3.39 % ------------------------------ 3.21/3.39 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 3.21/3.39 % Termination reason: Time limit 3.21/3.39 % Termination phase: Saturation 3.21/3.39 3.21/3.39 % Memory used [KB]: 7931 3.21/3.39 % Time elapsed: 3.0000 s 3.21/3.39 % ------------------------------ 3.21/3.39 % ------------------------------ 3.24/3.46 % 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 6.20/6.44 % Time limit reached! 6.20/6.44 % ------------------------------ 6.20/6.44 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 6.20/6.44 % Termination reason: Time limit 6.20/6.44 % Termination phase: Saturation 6.20/6.44 6.20/6.44 % Memory used [KB]: 89678 6.20/6.44 % Time elapsed: 3.0000 s 6.20/6.44 % ------------------------------ 6.20/6.44 % ------------------------------ 6.31/6.52 % dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 9.87/10.01 % Time limit reached! 9.87/10.01 % ------------------------------ 9.87/10.01 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 9.87/10.01 % Termination reason: Time limit 9.87/10.01 % Termination phase: Saturation 9.87/10.01 9.87/10.01 % Memory used [KB]: 895 9.87/10.01 % Time elapsed: 3.500 s 9.87/10.01 % ------------------------------ 9.87/10.01 % ------------------------------ 9.90/10.08 % 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 13.86/13.97 % Time limit reached! 13.86/13.97 % ------------------------------ 13.86/13.97 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 13.86/13.97 % Termination reason: Time limit 13.86/13.97 % Termination phase: Saturation 13.86/13.97 13.86/13.97 % Memory used [KB]: 7931 13.86/13.97 % Time elapsed: 3.900 s 13.86/13.97 % ------------------------------ 13.86/13.97 % ------------------------------ 13.89/14.04 % 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 13.89/14.05 % Refutation found. Thanks to Tanya! 13.89/14.05 % SZS status Theorem for theBenchmark 13.89/14.05 % SZS output start Proof for theBenchmark 13.89/14.05 tff(type_def_5, type, uni: $tType). 13.89/14.05 tff(type_def_6, type, ty: $tType). 13.89/14.05 tff(type_def_7, type, bool: $tType). 13.89/14.05 tff(type_def_8, type, tuple0: $tType). 13.89/14.05 tff(func_def_0, type, witness: ty > uni). 13.89/14.05 tff(func_def_1, type, int: ty). 13.89/14.05 tff(func_def_2, type, real: ty). 13.89/14.05 tff(func_def_3, type, bool1: ty). 13.89/14.05 tff(func_def_4, type, true: bool). 13.89/14.05 tff(func_def_5, type, false: bool). 13.89/14.05 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 13.89/14.05 tff(func_def_7, type, tuple01: ty). 13.89/14.05 tff(func_def_8, type, tuple02: tuple0). 13.89/14.05 tff(func_def_9, type, qtmark: ty). 13.89/14.05 tff(func_def_10, type, abs: $int > $int). 13.89/14.05 tff(func_def_11, type, div: ($int * $int) > $int). 13.89/14.05 tff(func_def_12, type, mod: ($int * $int) > $int). 13.89/14.05 tff(func_def_13, type, gcd: ($int * $int) > $int). 13.89/14.05 tff(func_def_14, type, ref: ty > ty). 13.89/14.05 tff(func_def_15, type, mk_ref: (ty * uni) > uni). 13.89/14.05 tff(func_def_16, type, contents: (ty * uni) > uni). 13.89/14.05 tff(func_def_26, type, sK0: $int). 13.89/14.05 tff(func_def_27, type, sK1: $int). 13.89/14.05 tff(func_def_28, type, sK2: $int). 13.89/14.05 tff(func_def_29, type, sK3: $int). 13.89/14.05 tff(func_def_30, type, sK4: $int). 13.89/14.05 tff(func_def_31, type, sK5: $int). 13.89/14.05 tff(func_def_32, type, sK6: $int). 13.89/14.05 tff(func_def_33, type, sK7: $int). 13.89/14.05 tff(func_def_34, type, sK8: $int > $int). 13.89/14.05 tff(func_def_35, type, sK9: $int > $int). 13.89/14.05 tff(func_def_36, type, sK10: ($int * $int) > $int). 13.89/14.05 tff(func_def_37, type, sK11: ($int * $int * $int) > $int). 13.89/14.05 tff(pred_def_1, type, sort: (ty * uni) > $o). 13.89/14.05 tff(pred_def_2, type, divides: ($int * $int) > $o). 13.89/14.05 tff(pred_def_3, type, even: $int > $o). 13.89/14.05 tff(pred_def_4, type, odd: $int > $o). 13.89/14.05 tff(f369,plain,( 13.89/14.05 $false), 13.89/14.05 inference(subsumption_resolution,[],[f266,f270])). 13.89/14.05 tff(f270,plain,( 13.89/14.05 ( ! [X8:$int,X9:$int] : ($sum($product(X8,sK0),$product(X9,sK1)) != sK7) )), 13.89/14.05 inference(cnf_transformation,[],[f243])). 13.89/14.05 tff(f243,plain,( 13.89/14.05 (! [X8 : $int,X9 : $int] : $sum($product(X8,sK0),$product(X9,sK1)) != sK7 & ~$less(0,sK6) & ~$less(sK7,0) & $sum($product(sK3,sK0),$product(sK2,sK1)) = sK6 & $sum($product(sK5,sK0),$product(sK4,sK1)) = sK7 & gcd(sK0,sK1) = gcd(sK7,sK6) & ~$less(sK6,0)) & ~$less(sK0,0) & ~$less(sK1,0)), 13.89/14.05 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f167,f242,f241])). 13.89/14.05 tff(f241,plain,( 13.89/14.05 ? [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(X7,0) & $sum($product(X3,X0),$product(X2,X1)) = X6 & $sum($product(X5,X0),$product(X4,X1)) = X7 & gcd(X0,X1) = gcd(X7,X6) & ~$less(X6,0)) & ~$less(X0,0) & ~$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(X7,0) & $sum($product(X3,sK0),$product(X2,sK1)) = X6 & $sum($product(X5,sK0),$product(X4,sK1)) = X7 & gcd(sK0,sK1) = gcd(X7,X6) & ~$less(X6,0)) & ~$less(sK0,0) & ~$less(sK1,0))), 13.89/14.05 introduced(choice_axiom,[])). 13.89/14.05 tff(f242,plain,( 13.89/14.05 ( ! [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(X7,0) & $sum($product(X3,X0),$product(X2,X1)) = X6 & $sum($product(X5,X0),$product(X4,X1)) = X7 & gcd(X0,X1) = gcd(X7,X6) & ~$less(X6,0)) => (! [X9 : $int,X8 : $int] : $sum($product(X8,X0),$product(X9,X1)) != sK7 & ~$less(0,sK6) & ~$less(sK7,0) & $sum($product(sK3,X0),$product(sK2,X1)) = sK6 & $sum($product(sK5,X0),$product(sK4,X1)) = sK7 & gcd(sK7,sK6) = gcd(X0,X1) & ~$less(sK6,0))) )), 13.89/14.05 introduced(choice_axiom,[])). 13.89/14.05 tff(f167,plain,( 13.89/14.05 ? [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(X7,0) & $sum($product(X3,X0),$product(X2,X1)) = X6 & $sum($product(X5,X0),$product(X4,X1)) = X7 & gcd(X0,X1) = gcd(X7,X6) & ~$less(X6,0)) & ~$less(X0,0) & ~$less(X1,0))), 13.89/14.05 inference(flattening,[],[f166])). 13.89/14.05 tff(f166,plain,( 13.89/14.05 ? [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(X7,0) & $sum($product(X3,X0),$product(X2,X1)) = X6 & $sum($product(X5,X0),$product(X4,X1)) = X7 & gcd(X0,X1) = gcd(X7,X6) & ~$less(X6,0))) & (~$less(X0,0) & ~$less(X1,0)))), 13.89/14.05 inference(ennf_transformation,[],[f107])). 13.89/14.05 tff(f107,plain,( 13.89/14.05 ~! [X0 : $int,X1 : $int] : ((~$less(X0,0) & ~$less(X1,0)) => ! [X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int,X7 : $int] : ((~$less(X7,0) & $sum($product(X3,X0),$product(X2,X1)) = X6 & $sum($product(X5,X0),$product(X4,X1)) = X7 & gcd(X0,X1) = gcd(X7,X6) & ~$less(X6,0)) => (~$less(0,X6) => ? [X8 : $int,X9 : $int] : $sum($product(X8,X0),$product(X9,X1)) = X7)))), 13.89/14.05 inference(rectify,[],[f85])). 13.89/14.05 tff(f85,plain,( 13.89/14.05 ~! [X5 : $int,X6 : $int] : ((~$less(X5,0) & ~$less(X6,0)) => ! [X10 : $int,X4 : $int,X1 : $int,X0 : $int,X14 : $int,X12 : $int] : ((~$less(X12,0) & $sum($product(X4,X5),$product(X10,X6)) = X14 & $sum($product(X0,X5),$product(X1,X6)) = X12 & gcd(X5,X6) = gcd(X12,X14) & ~$less(X14,0)) => (~$less(0,X14) => ? [X15 : $int,X16 : $int] : $sum($product(X15,X5),$product(X16,X6)) = X12)))), 13.89/14.05 inference(evaluation,[],[f46])). 13.89/14.05 tff(f46,negated_conjecture,( 13.89/14.05 ~! [X5 : $int,X6 : $int] : (($lesseq(0,X5) & $lesseq(0,X6)) => ! [X10 : $int,X4 : $int,X1 : $int,X0 : $int,X14 : $int,X12 : $int] : (($lesseq(0,X12) & $sum($product(X4,X5),$product(X10,X6)) = X14 & $sum($product(X0,X5),$product(X1,X6)) = X12 & gcd(X5,X6) = gcd(X12,X14) & $lesseq(0,X14)) => (~$less(0,X14) => ? [X15 : $int,X16 : $int] : $sum($product(X15,X5),$product(X16,X6)) = X12)))), 13.89/14.05 inference(negated_conjecture,[],[f45])). 13.89/14.05 tff(f45,conjecture,( 13.89/14.05 ! [X5 : $int,X6 : $int] : (($lesseq(0,X5) & $lesseq(0,X6)) => ! [X10 : $int,X4 : $int,X1 : $int,X0 : $int,X14 : $int,X12 : $int] : (($lesseq(0,X12) & $sum($product(X4,X5),$product(X10,X6)) = X14 & $sum($product(X0,X5),$product(X1,X6)) = X12 & gcd(X5,X6) = gcd(X12,X14) & $lesseq(0,X14)) => (~$less(0,X14) => ? [X15 : $int,X16 : $int] : $sum($product(X15,X5),$product(X16,X6)) = X12)))), 13.89/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_gcd)). 13.89/14.05 tff(f266,plain,( 13.89/14.05 $sum($product(sK5,sK0),$product(sK4,sK1)) = sK7), 13.89/14.05 inference(cnf_transformation,[],[f243])). 13.89/14.05 % SZS output end Proof for theBenchmark 13.89/14.05 % ------------------------------ 13.89/14.05 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 13.89/14.05 % Termination reason: Refutation 13.89/14.05 13.89/14.05 % Memory used [KB]: 5245 13.89/14.05 % Time elapsed: 0.005 s 13.89/14.05 % ------------------------------ 13.89/14.05 % ------------------------------ 13.89/14.05 % Success in time 13.728 s 13.89/14.05 EOF