0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.02/0.23 % Computer : n008.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:54:25 CDT 2018 0.02/0.23 % CPUTime : 0.02/0.23 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.23 % remaining time: 6000 next slice time: 4 0.06/0.26 lrs+1010_5:4_afp=100000:afq=1.2:anc=none:cond=on:fsr=off:ile=on:irw=on:nm=64:nwc=1:stl=30:sac=on:sp=occurrence:urr=on_2 on theBenchmark 0.56/0.76 % (21786)Time limit reached! 0.56/0.76 % ------------------------------ 0.56/0.76 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.56/0.76 % Termination reason: Time limit 0.56/0.76 % Termination phase: Saturation 0.56/0.76 0.56/0.76 % Memory used [KB]: 22899 0.56/0.76 % Time elapsed: 0.500 s 0.56/0.76 % ------------------------------ 0.56/0.76 % ------------------------------ 0.56/0.76 % remaining time: 5994 next slice time: 4 0.56/0.76 dis+1011_10_add=large:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_2 on theBenchmark 1.05/1.26 % (21794)Time limit reached! 1.05/1.26 % ------------------------------ 1.05/1.26 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.05/1.26 % Termination reason: Time limit 1.05/1.26 % Termination phase: Saturation 1.05/1.26 1.05/1.26 % Memory used [KB]: 12665 1.05/1.26 % Time elapsed: 0.500 s 1.05/1.26 % ------------------------------ 1.05/1.26 % ------------------------------ 1.05/1.26 % remaining time: 5989 next slice time: 4 1.05/1.27 dis-10_28_aac=none:add=large:afr=on:afp=4000:afq=1.2:bd=preordered:bsr=on:bce=on:fde=none:gs=on:gsem=off:ile=on:irw=on:lma=on:nm=6:newcnf=on:nwc=1:sas=z3:tha=off:thi=overlap:uwa=all:urr=on_2 on theBenchmark 1.58/1.76 % (21795)Time limit reached! 1.58/1.76 % ------------------------------ 1.58/1.76 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.58/1.76 % Termination reason: Time limit 1.58/1.76 % Termination phase: Saturation 1.58/1.76 1.58/1.76 % Memory used [KB]: 16375 1.58/1.76 % Time elapsed: 0.500 s 1.58/1.76 % ------------------------------ 1.58/1.76 % ------------------------------ 1.58/1.77 % remaining time: 5984 next slice time: 4 1.59/1.77 dis+11_2_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gs=on:ile=on:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1:sas=z3:sos=all:uwa=all:updr=off_2 on theBenchmark 2.05/2.27 % (21796)Time limit reached! 2.05/2.27 % ------------------------------ 2.05/2.27 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.05/2.27 % Termination reason: Time limit 2.05/2.27 % Termination phase: Saturation 2.05/2.27 2.05/2.27 % Memory used [KB]: 9722 2.05/2.27 % Time elapsed: 0.500 s 2.05/2.27 % ------------------------------ 2.05/2.27 % ------------------------------ 2.05/2.27 % remaining time: 5979 next slice time: 4 2.05/2.27 dis+1011_4:1_anc=none:cond=fast:fsr=off:gs=on:gsaa=full_model:gsem=off:ile=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=occurrence_2 on theBenchmark 2.10/2.77 % (21797)Time limit reached! 2.10/2.77 % ------------------------------ 2.10/2.77 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.10/2.77 % Termination reason: Time limit 2.10/2.77 % Termination phase: Saturation 2.10/2.77 2.10/2.77 % Memory used [KB]: 10490 2.10/2.77 % Time elapsed: 0.500 s 2.10/2.77 % ------------------------------ 2.10/2.77 % ------------------------------ 2.10/2.77 % remaining time: 5974 next slice time: 4 2.10/2.77 ott-11_24_afr=on:afp=4000:afq=1.0:amm=off:anc=none:bs=unit_only:fsr=off:gsp=input_only:gs=on:gsem=off:ile=on:lma=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off:thi=strong:uwa=one_side_constant:urr=on_2 on theBenchmark 3.06/3.27 % (21798)Time limit reached! 3.06/3.27 % ------------------------------ 3.06/3.27 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.06/3.27 % Termination reason: Time limit 3.06/3.27 % Termination phase: Saturation 3.06/3.27 3.06/3.27 % Memory used [KB]: 32238 3.06/3.27 % Time elapsed: 0.500 s 3.06/3.27 % ------------------------------ 3.06/3.27 % ------------------------------ 3.06/3.27 % remaining time: 5969 next slice time: 4 3.06/3.28 dis+1_5:1_add=off:afp=40000:afq=1.2:anc=none:bd=off:cond=on:fsr=off:gs=on:ile=on:nm=64:nwc=4:sas=z3:updr=off_2 on theBenchmark 3.57/3.78 % (21799)Time limit reached! 3.57/3.78 % ------------------------------ 3.57/3.78 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.57/3.78 % Termination reason: Time limit 3.57/3.78 % Termination phase: Saturation 3.57/3.78 3.57/3.78 % Memory used [KB]: 16502 3.57/3.78 % Time elapsed: 0.500 s 3.57/3.78 % ------------------------------ 3.57/3.78 % ------------------------------ 3.57/3.78 % remaining time: 5964 next slice time: 4 3.57/3.78 lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_2 on theBenchmark 4.08/4.28 % (21800)Time limit reached! 4.08/4.28 % ------------------------------ 4.08/4.28 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 4.08/4.28 % Termination reason: Time limit 4.08/4.28 % Termination phase: Saturation 4.08/4.28 4.08/4.28 % Memory used [KB]: 10106 4.08/4.28 % Time elapsed: 0.500 s 4.08/4.28 % ------------------------------ 4.08/4.28 % ------------------------------ 4.08/4.28 % remaining time: 5959 next slice time: 4 4.08/4.28 ott+11_1_add=large:afr=on:afp=10000:afq=1.4:amm=off:anc=none:cond=on:ile=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1:sp=occurrence:urr=ec_only_2 on theBenchmark 4.11/4.78 % (21801)Time limit reached! 4.11/4.78 % ------------------------------ 4.11/4.78 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 4.11/4.78 % Termination reason: Time limit 4.11/4.78 % Termination phase: Saturation 4.11/4.78 4.11/4.78 % Memory used [KB]: 16502 4.11/4.78 % Time elapsed: 0.500 s 4.11/4.78 % ------------------------------ 4.11/4.78 % ------------------------------ 4.11/4.78 % remaining time: 5954 next slice time: 5 4.11/4.78 dis+10_128_add=large:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=2:nwc=1:sp=reverse_arity_3 on theBenchmark 5.16/5.38 % (21803)Time limit reached! 5.16/5.38 % ------------------------------ 5.16/5.38 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 5.16/5.38 % Termination reason: Time limit 5.16/5.38 % Termination phase: Saturation 5.16/5.38 5.16/5.38 % Memory used [KB]: 19317 5.16/5.38 % Time elapsed: 0.600 s 5.16/5.38 % ------------------------------ 5.16/5.38 % ------------------------------ 5.16/5.39 % remaining time: 5948 next slice time: 4 5.16/5.39 dis+11_5_av=off:cond=on:fsr=off:ile=on:lwlo=on:nm=64:nwc=3:sp=reverse_arity:updr=off_2 on theBenchmark 5.22/5.89 % (21805)Time limit reached! 5.22/5.89 % ------------------------------ 5.22/5.89 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 5.22/5.89 % Termination reason: Time limit 5.22/5.89 % Termination phase: Saturation 5.22/5.89 5.22/5.89 % Memory used [KB]: 9850 5.22/5.89 % Time elapsed: 0.500 s 5.22/5.89 % ------------------------------ 5.22/5.89 % ------------------------------ 5.22/5.89 % remaining time: 5943 next slice time: 4 5.22/5.89 lrs-11_4:1_afp=4000:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 6.20/6.39 % (21910)Time limit reached! 6.20/6.39 % ------------------------------ 6.20/6.39 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 6.20/6.39 % Termination reason: Time limit 6.20/6.39 % Termination phase: Saturation 6.20/6.39 6.20/6.39 % Memory used [KB]: 34413 6.20/6.39 % Time elapsed: 0.500 s 6.20/6.39 % ------------------------------ 6.20/6.39 % ------------------------------ 6.20/6.39 % remaining time: 5938 next slice time: 9 6.20/6.39 lrs+4_32_add=large:afp=10000:afq=1.2:amm=sco:anc=none:cond=on:fsr=off:gsp=input_only:lcm=predicate:lma=on:nm=2:nwc=1:stl=30:sac=on:sp=occurrence:urr=on_7 on theBenchmark 7.21/7.39 % (21911)Time limit reached! 7.21/7.39 % ------------------------------ 7.21/7.39 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 7.21/7.39 % Termination reason: Time limit 7.21/7.39 % Termination phase: Saturation 7.21/7.39 7.21/7.39 % Memory used [KB]: 92109 7.21/7.39 % Time elapsed: 1.0000 s 7.21/7.39 % ------------------------------ 7.21/7.39 % ------------------------------ 7.21/7.40 % remaining time: 5928 next slice time: 4 7.21/7.40 dis+11_3_add=large:afp=100000:afq=1.4:amm=off:anc=none:fsr=off:gs=on:ile=on:irw=on:lma=on:nm=32:nwc=1:tha=off:updr=off_2 on theBenchmark 7.69/7.90 % (21913)Time limit reached! 7.69/7.90 % ------------------------------ 7.69/7.90 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 7.69/7.90 % Termination reason: Time limit 7.69/7.90 % Termination phase: Saturation 7.69/7.90 7.69/7.90 % Memory used [KB]: 38634 7.69/7.90 % Time elapsed: 0.500 s 7.69/7.90 % ------------------------------ 7.69/7.90 % ------------------------------ 7.69/7.90 % remaining time: 5923 next slice time: 58 7.69/7.91 ins+11_32_av=off:igbrr=0.4:igrr=1/64:igrpq=1.05:igwr=on:lcm=reverse:lma=on:nm=64:newcnf=on:nwc=1:sp=reverse_arity:updr=off_55 on theBenchmark 13.63/13.80 % (21915)Time limit reached! 13.63/13.80 % ------------------------------ 13.63/13.80 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 13.63/13.80 % Termination reason: Time limit 13.63/13.80 % Termination phase: Saturation 13.63/13.80 13.63/13.80 % Memory used [KB]: 18421 13.63/13.80 % Time elapsed: 5.900 s 13.63/13.80 % ------------------------------ 13.63/13.80 % ------------------------------ 13.63/13.81 % remaining time: 5864 next slice time: 96 13.69/13.81 dis+11_24_afp=40000:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark 13.69/13.81 % Refutation not found, incomplete strategy 13.69/13.81 % ------------------------------ 13.69/13.81 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 13.69/13.81 % Termination reason: Refutation not found, incomplete strategy 13.69/13.81 13.69/13.81 % Memory used [KB]: 10106 13.69/13.81 % Time elapsed: 0.004 s 13.69/13.81 % ------------------------------ 13.69/13.81 % ------------------------------ 13.69/13.81 % remaining time: 5864 next slice time: 4 13.69/13.81 dis+10_50_add=large:afr=on:afp=4000:afq=1.0:amm=off:anc=none:cond=on:fsr=off:gs=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:thf=on:updr=off_2 on theBenchmark 13.69/13.84 % Refutation not found, incomplete strategy 13.69/13.84 % ------------------------------ 13.69/13.84 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 13.69/13.84 % Termination reason: Refutation not found, incomplete strategy 13.69/13.84 13.69/13.84 % Memory used [KB]: 5500 13.69/13.84 % Time elapsed: 0.024 s 13.69/13.84 % ------------------------------ 13.69/13.84 % ------------------------------ 13.69/13.84 % remaining time: 5863 next slice time: 64 13.69/13.84 lrs+1011_1024_add=large:afp=4000:afq=1.1:anc=none:br=off:fsr=off:gsp=input_only:lma=on:nwc=1:stl=30:sos=on:urr=on_60 on theBenchmark 13.72/13.86 % Refutation not found, incomplete strategy 13.72/13.86 % ------------------------------ 13.72/13.86 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 13.72/13.86 % Termination reason: Refutation not found, incomplete strategy 13.72/13.86 13.72/13.86 % Memory used [KB]: 6268 13.72/13.86 % Time elapsed: 0.019 s 13.72/13.86 % ------------------------------ 13.72/13.86 % ------------------------------ 13.72/13.86 % remaining time: 5863 next slice time: 12 13.72/13.86 dis+11_3_afr=on:afp=40000:afq=2.0:anc=none:fsr=off:gs=on:lma=on:nm=64:newcnf=on:nwc=1:nicw=on:sas=z3:sos=all:sac=on:sp=occurrence:urr=on_11 on theBenchmark 15.02/15.16 % (21919)Time limit reached! 15.02/15.16 % ------------------------------ 15.02/15.16 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 15.02/15.16 % Termination reason: Time limit 15.02/15.16 % Termination phase: Saturation 15.02/15.16 15.02/15.16 % Memory used [KB]: 14839 15.02/15.16 % Time elapsed: 1.300 s 15.02/15.16 % ------------------------------ 15.02/15.16 % ------------------------------ 15.02/15.16 % remaining time: 5850 next slice time: 86 15.02/15.16 ott+1_40_av=off:bs=unit_only:bsr=on:br=off:fsr=off:lma=on:nm=64:newcnf=on:nwc=1.5:sp=occurrence:urr=on:updr=off_81 on theBenchmark 23.78/23.86 % (21920)Time limit reached! 23.78/23.86 % ------------------------------ 23.78/23.86 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 23.78/23.86 % Termination reason: Time limit 23.78/23.86 % Termination phase: Saturation 23.78/23.86 23.78/23.86 % Memory used [KB]: 298332 23.78/23.86 % Time elapsed: 8.700 s 23.78/23.86 % ------------------------------ 23.78/23.86 % ------------------------------ 23.82/23.88 % remaining time: 5763 next slice time: 160 23.82/23.89 lrs+1_1_av=off:bsr=on:br=off:gs=on:gsem=on:lma=on:lwlo=on:nm=64:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_152 on theBenchmark 26.53/26.61 % Refutation found. Thanks to Tanya! 26.53/26.61 % SZS status Theorem for theBenchmark 26.53/26.61 % SZS output start Proof for theBenchmark 26.53/26.61 fof(f3,axiom,( 26.53/26.61 ! [X0,X1] : (~id(X0,X1) | id(X1,X0))), 26.53/26.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_B2)). 26.53/26.61 fof(f4,conjecture,( 26.53/26.61 ? [X6,X7,X8,X9] : (r2(X9,X6) & r4(X6,X7,X8) & r2(X7,X8) & r2(X6,X7) & r1(X9))), 26.53/26.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',onepllustwoeqthree)). 26.53/26.61 fof(f5,negated_conjecture,( 26.53/26.61 ~? [X6,X7,X8,X9] : (r2(X9,X6) & r4(X6,X7,X8) & r2(X7,X8) & r2(X6,X7) & r1(X9))), 26.53/26.61 inference(negated_conjecture,[],[f4])). 26.53/26.61 fof(f7,axiom,( 26.53/26.61 ! [X1,X2] : ? [X6] : ! [X0] : ((id(X0,X6) & r4(X1,X2,X0)) | (~id(X0,X6) & ~r4(X1,X2,X0)))), 26.53/26.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_B11)). 26.53/26.61 fof(f10,axiom,( 26.53/26.61 ! [X0,X1,X2,X3] : ((~r2(X2,X3) & ~r2(X0,X1)) | (r2(X2,X3) & r2(X0,X1)) | ~id(X1,X3) | ~id(X0,X2))), 26.53/26.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_B5)). 26.53/26.61 fof(f11,axiom,( 26.53/26.61 ! [X0] : id(X0,X0)), 26.53/26.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_B1)). 26.53/26.61 fof(f13,axiom,( 26.53/26.61 ! [X1] : ? [X6] : ! [X0] : ((~r2(X1,X0) & ~id(X0,X6)) | (r2(X1,X0) & id(X0,X6)))), 26.53/26.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_B9)). 26.53/26.61 fof(f15,axiom,( 26.53/26.61 ? [X6] : ! [X0] : (r1(X6) & r4(X0,X6,X0))), 26.53/26.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_R2)). 26.53/26.61 fof(f16,axiom,( 26.53/26.61 ! [X1] : ? [X6] : ! [X0] : ? [X7,X8] : (r2(X1,X6) & r2(X8,X7) & r4(X0,X6,X7) & r4(X0,X1,X8))), 26.53/26.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_R5)). 26.53/26.61 fof(f20,axiom,( 26.53/26.61 ! [X0,X1,X2] : (~id(X1,X2) | id(X0,X2) | ~id(X0,X1))), 26.53/26.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_B3)). 26.53/26.61 fof(f21,plain,( 26.53/26.61 ~? [X0,X1,X2,X3] : (r2(X3,X0) & r4(X0,X1,X2) & r2(X1,X2) & r2(X0,X1) & r1(X3))), 26.53/26.61 inference(rectify,[],[f5])). 26.53/26.61 fof(f25,plain,( 26.53/26.61 ! [X0] : ? [X1] : ! [X2] : ((~r2(X0,X2) & ~id(X2,X1)) | (r2(X0,X2) & id(X2,X1)))), 26.53/26.61 inference(rectify,[],[f13])). 26.53/26.61 fof(f27,plain,( 26.53/26.61 ! [X0] : ? [X1] : ! [X2] : ? [X3,X4] : (r2(X0,X1) & r2(X4,X3) & r4(X2,X1,X3) & r4(X2,X0,X4))), 26.53/26.61 inference(rectify,[],[f16])). 26.53/26.61 fof(f29,plain,( 26.53/26.61 ! [X0,X1] : ? [X2] : ! [X3] : ((id(X3,X2) & r4(X0,X1,X3)) | (~id(X3,X2) & ~r4(X0,X1,X3)))), 26.53/26.61 inference(rectify,[],[f7])). 26.53/26.61 fof(f31,plain,( 26.53/26.61 ? [X0] : ! [X1] : (r1(X0) & r4(X1,X0,X1))), 26.53/26.61 inference(rectify,[],[f15])). 26.53/26.61 fof(f33,plain,( 26.53/26.61 ! [X0,X1,X2,X3] : (~r2(X3,X0) | ~r4(X0,X1,X2) | ~r2(X1,X2) | ~r2(X0,X1) | ~r1(X3))), 26.53/26.61 inference(ennf_transformation,[],[f21])). 26.53/26.61 fof(f40,plain,( 26.53/26.61 ! [X0] : (? [X1] : ! [X2] : ((~r2(X0,X2) & ~id(X2,X1)) | (r2(X0,X2) & id(X2,X1))) => ! [X2] : ((~r2(X0,X2) & ~id(X2,sK3(X0))) | (r2(X0,X2) & id(X2,sK3(X0)))))), 26.53/26.61 introduced(choice_axiom,[])). 26.53/26.61 fof(f41,plain,( 26.53/26.61 ! [X0] : ! [X2] : ((~r2(X0,X2) & ~id(X2,sK3(X0))) | (r2(X0,X2) & id(X2,sK3(X0))))), 26.53/26.61 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f25,f40])). 26.53/26.61 fof(f45,plain,( 26.53/26.61 ! [X0] : (? [X1] : ! [X2] : ? [X3,X4] : (r2(X0,X1) & r2(X4,X3) & r4(X2,X1,X3) & r4(X2,X0,X4)) => ! [X2] : ? [X4,X3] : (r2(X0,sK7(X0)) & r2(X4,X3) & r4(X2,sK7(X0),X3) & r4(X2,X0,X4)))), 26.53/26.61 introduced(choice_axiom,[])). 26.53/26.61 fof(f46,plain,( 26.53/26.61 ( ! [X1] : (! [X2,X0] : (? [X3,X4] : (r2(X0,X1) & r2(X4,X3) & r4(X2,X1,X3) & r4(X2,X0,X4)) => (r2(X0,X1) & r2(sK9(X0,X2),sK8(X0,X2)) & r4(X2,X1,sK8(X0,X2)) & r4(X2,X0,sK9(X0,X2))))) )), 26.53/26.61 introduced(choice_axiom,[])). 26.53/26.61 fof(f47,plain,( 26.53/26.61 ! [X0] : ! [X2] : (r2(X0,sK7(X0)) & r2(sK9(X0,X2),sK8(X0,X2)) & r4(X2,sK7(X0),sK8(X0,X2)) & r4(X2,X0,sK9(X0,X2)))), 26.53/26.61 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f27,f46,f45])). 26.53/26.61 fof(f50,plain,( 26.53/26.61 ! [X1,X0] : (? [X2] : ! [X3] : ((id(X3,X2) & r4(X0,X1,X3)) | (~id(X3,X2) & ~r4(X0,X1,X3))) => ! [X3] : ((id(X3,sK11(X0,X1)) & r4(X0,X1,X3)) | (~id(X3,sK11(X0,X1)) & ~r4(X0,X1,X3))))), 26.53/26.61 introduced(choice_axiom,[])). 26.53/26.61 fof(f51,plain,( 26.53/26.61 ! [X0,X1] : ! [X3] : ((id(X3,sK11(X0,X1)) & r4(X0,X1,X3)) | (~id(X3,sK11(X0,X1)) & ~r4(X0,X1,X3)))), 26.53/26.61 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f29,f50])). 26.53/26.61 fof(f54,plain,( 26.53/26.61 ? [X0] : ! [X1] : (r1(X0) & r4(X1,X0,X1)) => ! [X1] : (r1(sK13) & r4(X1,sK13,X1))), 26.53/26.61 introduced(choice_axiom,[])). 26.53/26.61 fof(f55,plain,( 26.53/26.61 ! [X1] : (r1(sK13) & r4(X1,sK13,X1))), 26.53/26.61 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f31,f54])). 26.53/26.61 fof(f58,plain,( 26.53/26.61 ( ! [X2,X0,X3,X1] : (~r2(X3,X0) | ~r4(X0,X1,X2) | ~r2(X1,X2) | ~r2(X0,X1) | ~r1(X3)) )), 26.53/26.61 inference(cnf_transformation,[],[f33])). 26.53/26.61 fof(f59,plain,( 26.53/26.61 ( ! [X0] : (id(X0,X0)) )), 26.53/26.61 inference(cnf_transformation,[],[f11])). 26.53/26.61 fof(f66,plain,( 26.53/26.61 ( ! [X2,X0] : (~r2(X0,X2) | id(X2,sK3(X0))) )), 26.53/26.61 inference(cnf_transformation,[],[f41])). 26.53/26.61 fof(f72,plain,( 26.53/26.61 ( ! [X2,X0] : (r4(X2,X0,sK9(X0,X2))) )), 26.53/26.61 inference(cnf_transformation,[],[f47])). 26.53/26.61 fof(f73,plain,( 26.53/26.61 ( ! [X2,X0] : (r4(X2,sK7(X0),sK8(X0,X2))) )), 26.53/26.61 inference(cnf_transformation,[],[f47])). 26.53/26.61 fof(f74,plain,( 26.53/26.61 ( ! [X2,X0] : (r2(sK9(X0,X2),sK8(X0,X2))) )), 26.53/26.61 inference(cnf_transformation,[],[f47])). 26.53/26.61 fof(f75,plain,( 26.53/26.61 ( ! [X0] : (r2(X0,sK7(X0))) )), 26.53/26.61 inference(cnf_transformation,[],[f47])). 26.53/26.61 fof(f80,plain,( 26.53/26.61 ( ! [X0,X1] : (~id(X0,X1) | id(X1,X0)) )), 26.53/26.61 inference(cnf_transformation,[],[f3])). 26.53/26.61 fof(f87,plain,( 26.53/26.61 ( ! [X0,X3,X1] : (~r4(X0,X1,X3) | id(X3,sK11(X0,X1))) )), 26.53/26.61 inference(cnf_transformation,[],[f51])). 26.53/26.61 fof(f89,plain,( 26.53/26.61 ( ! [X2,X0,X1] : (~id(X1,X2) | id(X0,X2) | ~id(X0,X1)) )), 26.53/26.61 inference(cnf_transformation,[],[f20])). 26.53/26.61 fof(f91,plain,( 26.53/26.61 ( ! [X2,X0,X3,X1] : (~r2(X0,X1) | r2(X2,X3) | ~id(X1,X3) | ~id(X0,X2)) )), 26.53/26.61 inference(cnf_transformation,[],[f10])). 26.53/26.61 fof(f104,plain,( 26.53/26.61 ( ! [X1] : (r4(X1,sK13,X1)) )), 26.53/26.61 inference(cnf_transformation,[],[f55])). 26.53/26.61 fof(f105,plain,( 26.53/26.61 r1(sK13)), 26.53/26.61 inference(cnf_transformation,[],[f55])). 26.53/26.61 fof(f127,plain,( 26.53/26.61 ( ! [X0] : (id(sK7(X0),sK3(X0))) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f75,f66])). 26.53/26.61 fof(f178,plain,( 26.53/26.61 ( ! [X0] : (id(X0,sK11(X0,sK13))) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f104,f87])). 26.53/26.61 fof(f179,plain,( 26.53/26.61 ( ! [X0,X1] : (id(sK9(X0,X1),sK11(X1,X0))) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f72,f87])). 26.53/26.61 fof(f180,plain,( 26.53/26.61 ( ! [X0,X1] : (id(sK8(X0,X1),sK11(X1,sK7(X0)))) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f73,f87])). 26.53/26.61 fof(f607,plain,( 26.53/26.61 ~r2(sK7(sK7(sK13)),sK8(sK7(sK13),sK7(sK13)))), 26.53/26.61 inference(unit_resulting_resolution,[],[f105,f75,f73,f75,f58])). 26.53/26.61 fof(f1587,plain,( 26.53/26.61 ( ! [X0] : (id(sK3(X0),sK7(X0))) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f127,f80])). 26.53/26.61 fof(f2113,plain,( 26.53/26.61 ( ! [X0] : (id(sK11(X0,sK13),X0)) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f178,f80])). 26.53/26.61 fof(f5763,plain,( 26.53/26.61 ( ! [X0,X1] : (r2(sK11(X0,X1),sK8(X1,X0))) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f59,f74,f179,f91])). 26.53/26.61 fof(f25193,plain,( 26.53/26.61 ( ! [X0] : (id(sK9(sK13,X0),X0)) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f179,f2113,f89])). 26.53/26.61 fof(f119025,plain,( 26.53/26.61 ( ! [X0] : (r2(X0,sK11(X0,sK7(sK13)))) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f180,f74,f25193,f91])). 26.53/26.61 fof(f163187,plain,( 26.53/26.61 ~id(sK11(sK7(sK13),sK7(sK13)),sK7(sK7(sK13)))), 26.53/26.61 inference(unit_resulting_resolution,[],[f607,f59,f5763,f91])). 26.53/26.61 fof(f218753,plain,( 26.53/26.61 ( ! [X0] : (id(sK11(X0,sK7(sK13)),sK3(X0))) )), 26.53/26.61 inference(unit_resulting_resolution,[],[f119025,f66])). 26.53/26.61 fof(f228362,plain,( 26.53/26.61 ~id(sK11(sK7(sK13),sK7(sK13)),sK3(sK7(sK13)))), 26.53/26.61 inference(unit_resulting_resolution,[],[f1587,f163187,f89])). 26.53/26.61 fof(f228385,plain,( 26.53/26.61 $false), 26.53/26.61 inference(subsumption_resolution,[],[f228362,f218753])). 26.53/26.61 % SZS output end Proof for theBenchmark 26.53/26.61 % ------------------------------ 26.53/26.61 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 26.53/26.61 % Termination reason: Refutation 26.53/26.61 26.53/26.61 % Memory used [KB]: 66395 26.53/26.61 % Time elapsed: 2.727 s 26.53/26.61 % ------------------------------ 26.53/26.61 % ------------------------------ 26.53/26.62 % Success in time 26.379 s 26.53/26.62 EOF