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 : n182.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 05:22:09 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: 5999 next slice time: 12 0.06/0.26 lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_11 on theBenchmark 1.36/1.56 % (8520)Time limit reached! 1.36/1.56 % ------------------------------ 1.36/1.56 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.36/1.56 % Termination reason: Time limit 1.36/1.56 % Termination phase: Saturation 1.36/1.56 1.36/1.56 % Memory used [KB]: 11513 1.36/1.56 % Time elapsed: 1.300 s 1.36/1.56 % ------------------------------ 1.36/1.56 % ------------------------------ 1.36/1.56 % remaining time: 5986 next slice time: 4 1.36/1.57 lrs+1002_8_add=large:afp=40000:afq=1.0:amm=off:anc=none:cond=on:gs=on:irw=on:nm=16:newcnf=on:nwc=1:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 1.89/2.07 % (8521)Time limit reached! 1.89/2.07 % ------------------------------ 1.89/2.07 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.89/2.07 % Termination reason: Time limit 1.89/2.07 % Termination phase: Saturation 1.89/2.07 1.89/2.07 % Memory used [KB]: 13176 1.89/2.07 % Time elapsed: 0.500 s 1.89/2.07 % ------------------------------ 1.89/2.07 % ------------------------------ 1.89/2.07 % remaining time: 5981 next slice time: 10 1.89/2.07 lrs+10_50_add=large:afp=40000:afq=1.2:amm=sco:anc=none:br=off:cond=on:fsr=off:gsp=input_only:gs=on:irw=on:lma=on:nm=64:nwc=1:stl=30:sos=all:sp=reverse_arity:urr=on_8 on theBenchmark 2.95/3.17 % (8524)Time limit reached! 2.95/3.17 % ------------------------------ 2.95/3.17 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.95/3.17 % Termination reason: Time limit 2.95/3.17 % Termination phase: Saturation 2.95/3.17 2.95/3.17 % Memory used [KB]: 31854 2.95/3.17 % Time elapsed: 1.100 s 2.95/3.17 % ------------------------------ 2.95/3.17 % ------------------------------ 2.95/3.17 % remaining time: 5970 next slice time: 7 2.95/3.17 dis+1002_3:1_acc=model:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_5 on theBenchmark 3.76/3.97 % (8525)Time limit reached! 3.76/3.97 % ------------------------------ 3.76/3.97 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.76/3.97 % Termination reason: Time limit 3.76/3.97 % Termination phase: Saturation 3.76/3.97 3.76/3.97 % Memory used [KB]: 11129 3.76/3.97 % Time elapsed: 0.800 s 3.76/3.97 % ------------------------------ 3.76/3.97 % ------------------------------ 3.76/3.97 % remaining time: 5962 next slice time: 38 3.76/3.97 ott+11_8_amm=off:anc=none:bsr=on:cond=on:irw=on:nm=2:nwc=1.1:ss=axioms:st=2.0:sac=on_36 on theBenchmark 7.68/7.87 % (8526)Time limit reached! 7.68/7.87 % ------------------------------ 7.68/7.87 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 7.68/7.87 % Termination reason: Time limit 7.68/7.87 % Termination phase: Saturation 7.68/7.87 7.68/7.87 % Memory used [KB]: 44775 7.68/7.87 % Time elapsed: 3.900 s 7.68/7.87 % ------------------------------ 7.68/7.87 % ------------------------------ 7.68/7.88 % remaining time: 5923 next slice time: 47 7.68/7.88 ott+1_128_add=large:afr=on:amm=sco:anc=none:cond=on:fsr=off:gsp=input_only:gs=on:irw=on:lcm=reverse:lma=on:nm=64:nwc=1.1:nicw=on:sas=z3:sac=on:sp=reverse_arity_44 on theBenchmark 12.51/12.68 % (8644)Time limit reached! 12.51/12.68 % ------------------------------ 12.51/12.68 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 12.51/12.68 % Termination reason: Time limit 12.51/12.68 % Termination phase: Saturation 12.51/12.68 12.51/12.68 % Memory used [KB]: 17270 12.51/12.68 % Time elapsed: 4.800 s 12.51/12.68 % ------------------------------ 12.51/12.68 % ------------------------------ 12.51/12.68 % remaining time: 5875 next slice time: 3 12.51/12.68 ott+11_128_afp=4000:afq=1.1:anc=none:bs=unit_only:cond=on:gsp=input_only:lma=on:nm=4:nwc=1.5:sos=theory:sp=occurrence:updr=off_1 on theBenchmark 12.54/13.08 % (8645)Time limit reached! 12.54/13.08 % ------------------------------ 12.54/13.08 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 12.54/13.08 % Termination reason: Time limit 12.54/13.08 % Termination phase: Saturation 12.54/13.08 12.54/13.08 % Memory used [KB]: 16630 12.54/13.08 % Time elapsed: 0.400 s 12.54/13.08 % ------------------------------ 12.54/13.08 % ------------------------------ 12.54/13.08 % remaining time: 5871 next slice time: 9 12.54/13.09 lrs+1010_2:1_aac=none:afr=on:afp=10000:afq=1.4:amm=sco:anc=none:gs=on:gsem=off:irw=on:nm=16:nwc=3:stl=30_7 on theBenchmark 13.93/14.09 % (8651)Time limit reached! 13.93/14.09 % ------------------------------ 13.93/14.09 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 13.93/14.09 % Termination reason: Time limit 13.93/14.09 % Termination phase: Saturation 13.93/14.09 13.93/14.09 % Memory used [KB]: 17014 13.93/14.09 % Time elapsed: 1.0000 s 13.93/14.09 % ------------------------------ 13.93/14.09 % ------------------------------ 13.93/14.09 % remaining time: 5861 next slice time: 40 13.93/14.09 lrs+1011_10_aac=none:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30_38 on theBenchmark 18.07/18.19 % (8652)Time limit reached! 18.07/18.19 % ------------------------------ 18.07/18.19 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 18.07/18.19 % Termination reason: Time limit 18.07/18.19 % Termination phase: Saturation 18.07/18.19 18.07/18.19 % Memory used [KB]: 41833 18.07/18.19 % Time elapsed: 4.100 s 18.07/18.19 % ------------------------------ 18.07/18.19 % ------------------------------ 18.07/18.19 % remaining time: 5820 next slice time: 4 18.07/18.19 lrs+4_4:1_acc=on:afr=on:afp=100000:afq=1.1:amm=sco:anc=none:ccuc=first:cond=on:fsr=off:irw=on:lcm=predicate:lma=on:nm=64:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=all_2 on theBenchmark 18.52/18.69 % (8832)Time limit reached! 18.52/18.69 % ------------------------------ 18.52/18.69 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 18.52/18.69 % Termination reason: Time limit 18.52/18.69 % Termination phase: Saturation 18.52/18.69 18.52/18.69 % Memory used [KB]: 8699 18.52/18.69 % Time elapsed: 0.500 s 18.52/18.69 % ------------------------------ 18.52/18.69 % ------------------------------ 18.52/18.69 % remaining time: 5815 next slice time: 4 18.52/18.70 lrs+1011_5:4_acc=on:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 18.58/19.19 % (8833)Time limit reached! 18.58/19.19 % ------------------------------ 18.58/19.19 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 18.58/19.19 % Termination reason: Time limit 18.58/19.19 % Termination phase: Saturation 18.58/19.19 18.58/19.19 % Memory used [KB]: 17654 18.58/19.19 % Time elapsed: 0.500 s 18.58/19.19 % ------------------------------ 18.58/19.19 % ------------------------------ 18.58/19.20 % remaining time: 5810 next slice time: 10 18.58/19.20 lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off_9 on theBenchmark 20.19/20.30 % (8834)Time limit reached! 20.19/20.30 % ------------------------------ 20.19/20.30 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 20.19/20.30 % Termination reason: Time limit 20.19/20.30 % Termination phase: Saturation 20.19/20.30 20.19/20.30 % Memory used [KB]: 33517 20.19/20.30 % Time elapsed: 1.100 s 20.19/20.30 % ------------------------------ 20.19/20.30 % ------------------------------ 20.19/20.30 % remaining time: 5799 next slice time: 93 20.19/20.30 dis+1011_5:4_acc=model:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=off:ccuc=small_ones:cond=fast:fde=unused:gs=on:nm=2:newcnf=on:nwc=1:nicw=on:sos=on:sac=on:sp=occurrence:updr=off_88 on theBenchmark 28.13/28.22 % Refutation found. Thanks to Tanya! 28.13/28.22 % SZS status Theorem for theBenchmark 28.13/28.22 % SZS output start Proof for theBenchmark 28.13/28.22 fof(f1,axiom,( 28.13/28.22 ! [X0,X1,X2,X3] : ((path(X0,X1,X2) & in_path(X3,X2)) => (vertex(X3) & ? [X4] : ((head_of(X4) = X3 | tail_of(X4) = X3) & on_path(X4,X2))))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_path_properties)). 28.13/28.22 fof(f2,axiom,( 28.13/28.22 ! [X2,X0,X1] : (path(X0,X1,X2) => ! [X5,X6] : ((on_path(X5,X2) & (? [X7] : (precedes(X7,X6,X2) & sequential(X5,X7)) | sequential(X5,X6)) & on_path(X6,X2)) => precedes(X5,X6,X2)))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',precedes_defn)). 28.13/28.22 fof(f3,axiom,( 28.13/28.22 ! [X0,X1,X2] : (path(X0,X1,X2) => (vertex(X0) & vertex(X1) & ? [X4] : (edge(X4) & tail_of(X4) = X0 & ((head_of(X4) = X1 & path_cons(X4,empty) = X2) <~> ? [X8] : (path_cons(X4,X8) = X2 & path(head_of(X4),X1,X8))))))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',path_properties)). 28.13/28.22 fof(f4,axiom,( 28.13/28.22 ! [X0,X1,X5,X6,X2] : ((precedes(X5,X6,X2) & shortest_path(X0,X1,X2)) => (~? [X7] : (tail_of(X5) = tail_of(X7) & head_of(X6) = head_of(X7)) & ~precedes(X6,X5,X2)))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_properties)). 28.13/28.22 fof(f5,axiom,( 28.13/28.22 complete => ! [X0,X1] : ((vertex(X0) & vertex(X1) & X0 != X1) => ? [X4] : (edge(X4) & ((tail_of(X4) = X1 & head_of(X4) = X0) <~> (tail_of(X4) = X0 & head_of(X4) = X1))))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',complete_properties)). 28.13/28.22 fof(f6,axiom,( 28.13/28.22 ! [X0,X1,X9] : ((! [X2] : (path(X0,X1,X2) => less_or_equal(length_of(X9),length_of(X2))) & X0 != X1 & path(X0,X1,X9)) <=> shortest_path(X0,X1,X9))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_defn)). 28.13/28.22 fof(f7,axiom,( 28.13/28.22 ! [X2,X0,X1] : (path(X0,X1,X2) => ! [X5,X6] : (precedes(X5,X6,X2) => (on_path(X5,X2) & on_path(X6,X2) & (? [X7] : (precedes(X7,X6,X2) & sequential(X5,X7)) <~> sequential(X5,X6)))))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',precedes_properties)). 28.13/28.22 fof(f8,axiom,( 28.13/28.22 ! [X0,X1,X2,X4] : ((on_path(X4,X2) & path(X0,X1,X2)) => (in_path(tail_of(X4),X2) & in_path(head_of(X4),X2) & edge(X4)))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',on_path_properties)). 28.13/28.22 fof(f9,axiom,( 28.13/28.22 ! [X0,X1,X2] : ((? [X4] : (((path_cons(X4,empty) = X2 & head_of(X4) = X1) | ? [X8] : (path(head_of(X4),X1,X8) & path_cons(X4,X8) = X2)) & tail_of(X4) = X0 & edge(X4)) & vertex(X1) & vertex(X0)) => path(X0,X1,X2))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',path_defn)). 28.13/28.22 fof(f10,axiom,( 28.13/28.22 ! [X4] : (edge(X4) => (vertex(tail_of(X4)) & vertex(head_of(X4))))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',edge_ends_are_vertices)). 28.13/28.22 fof(f11,axiom,( 28.13/28.22 ! [X4] : (edge(X4) => tail_of(X4) != head_of(X4))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_loops)). 28.13/28.22 fof(f12,axiom,( 28.13/28.22 ! [X5,X6] : (sequential(X5,X6) <=> (edge(X6) & X5 != X6 & tail_of(X6) = head_of(X5) & edge(X5)))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_defn)). 28.13/28.22 fof(f15,conjecture,( 28.13/28.22 complete => ! [X0,X1,X5,X6,X2] : ((precedes(X5,X6,X2) & shortest_path(X0,X1,X2)) => ? [X7] : (edge(X7) & tail_of(X5) = head_of(X7) & tail_of(X7) = head_of(X6)))), 28.13/28.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',back_edge)). 28.13/28.22 fof(f16,negated_conjecture,( 28.13/28.22 ~(complete => ! [X0,X1,X5,X6,X2] : ((precedes(X5,X6,X2) & shortest_path(X0,X1,X2)) => ? [X7] : (edge(X7) & tail_of(X5) = head_of(X7) & tail_of(X7) = head_of(X6))))), 28.13/28.22 inference(negated_conjecture,[],[f15])). 28.13/28.22 fof(f20,plain,( 28.13/28.22 ~(complete => ! [X0,X1,X2,X3,X4] : ((precedes(X2,X3,X4) & shortest_path(X0,X1,X4)) => ? [X5] : (edge(X5) & tail_of(X2) = head_of(X5) & tail_of(X5) = head_of(X3))))), 28.13/28.22 inference(rectify,[],[f16])). 28.13/28.22 fof(f21,plain,( 28.13/28.22 complete => ! [X0,X1] : ((vertex(X0) & vertex(X1) & X0 != X1) => ? [X2] : (edge(X2) & ((tail_of(X2) = X1 & head_of(X2) = X0) <~> (tail_of(X2) = X0 & head_of(X2) = X1))))), 28.13/28.22 inference(rectify,[],[f5])). 28.13/28.22 fof(f22,plain,( 28.13/28.22 ! [X0] : (edge(X0) => tail_of(X0) != head_of(X0))), 28.13/28.22 inference(rectify,[],[f11])). 28.13/28.22 fof(f23,plain,( 28.13/28.22 ! [X0] : (edge(X0) => (vertex(tail_of(X0)) & vertex(head_of(X0))))), 28.13/28.22 inference(rectify,[],[f10])). 28.13/28.22 fof(f25,plain,( 28.13/28.22 ! [X0,X1] : (sequential(X0,X1) <=> (edge(X1) & X0 != X1 & tail_of(X1) = head_of(X0) & edge(X0)))), 28.13/28.22 inference(rectify,[],[f12])). 28.13/28.22 fof(f26,plain,( 28.13/28.22 ! [X0,X1,X2] : (path(X0,X1,X2) => (vertex(X0) & vertex(X1) & ? [X3] : (edge(X3) & tail_of(X3) = X0 & ((head_of(X3) = X1 & path_cons(X3,empty) = X2) <~> ? [X4] : (path_cons(X3,X4) = X2 & path(head_of(X3),X1,X4))))))), 28.13/28.22 inference(rectify,[],[f3])). 28.13/28.22 fof(f27,plain,( 28.13/28.22 ! [X0,X1,X2] : (path(X1,X2,X0) => ! [X3,X4] : (precedes(X3,X4,X0) => (on_path(X3,X0) & on_path(X4,X0) & (? [X5] : (precedes(X5,X4,X0) & sequential(X3,X5)) <~> sequential(X3,X4)))))), 28.13/28.22 inference(rectify,[],[f7])). 28.13/28.22 fof(f28,plain,( 28.13/28.22 ! [X0,X1,X2] : (path(X1,X2,X0) => ! [X3,X4] : ((on_path(X3,X0) & (? [X5] : (precedes(X5,X4,X0) & sequential(X3,X5)) | sequential(X3,X4)) & on_path(X4,X0)) => precedes(X3,X4,X0)))), 28.13/28.22 inference(rectify,[],[f2])). 28.13/28.22 fof(f29,plain,( 28.13/28.22 ! [X0,X1,X2] : ((? [X3] : (((path_cons(X3,empty) = X2 & head_of(X3) = X1) | ? [X4] : (path(head_of(X3),X1,X4) & path_cons(X3,X4) = X2)) & tail_of(X3) = X0 & edge(X3)) & vertex(X1) & vertex(X0)) => path(X0,X1,X2))), 28.13/28.22 inference(rectify,[],[f9])). 28.13/28.22 fof(f32,plain,( 28.13/28.22 ! [X0,X1,X2] : ((! [X3] : (path(X0,X1,X3) => less_or_equal(length_of(X2),length_of(X3))) & X0 != X1 & path(X0,X1,X2)) <=> shortest_path(X0,X1,X2))), 28.13/28.22 inference(rectify,[],[f6])). 28.13/28.22 fof(f33,plain,( 28.13/28.22 ! [X0,X1,X2,X3] : ((on_path(X3,X2) & path(X0,X1,X2)) => (in_path(tail_of(X3),X2) & in_path(head_of(X3),X2) & edge(X3)))), 28.13/28.22 inference(rectify,[],[f8])). 28.13/28.22 fof(f34,plain,( 28.13/28.22 ! [X0,X1,X2,X3,X4] : ((precedes(X2,X3,X4) & shortest_path(X0,X1,X4)) => (~? [X5] : (tail_of(X2) = tail_of(X5) & head_of(X3) = head_of(X5)) & ~precedes(X3,X2,X4)))), 28.13/28.22 inference(rectify,[],[f4])). 28.13/28.22 fof(f35,plain,( 28.13/28.22 ? [X0,X1,X2,X3,X4] : (! [X5] : (~edge(X5) | tail_of(X2) != head_of(X5) | tail_of(X5) != head_of(X3)) & (precedes(X2,X3,X4) & shortest_path(X0,X1,X4))) & complete), 28.13/28.22 inference(ennf_transformation,[],[f20])). 28.13/28.22 fof(f36,plain,( 28.13/28.22 ? [X0,X1,X2,X3,X4] : (! [X5] : (~edge(X5) | tail_of(X2) != head_of(X5) | tail_of(X5) != head_of(X3)) & precedes(X2,X3,X4) & shortest_path(X0,X1,X4)) & complete), 28.13/28.22 inference(flattening,[],[f35])). 28.13/28.22 fof(f37,plain,( 28.13/28.22 ! [X0,X1] : (? [X2] : (edge(X2) & ((tail_of(X2) = X1 & head_of(X2) = X0) <~> (tail_of(X2) = X0 & head_of(X2) = X1))) | (~vertex(X0) | ~vertex(X1) | X0 = X1)) | ~complete), 28.13/28.22 inference(ennf_transformation,[],[f21])). 28.13/28.22 fof(f38,plain,( 28.13/28.22 ! [X0,X1] : (? [X2] : (edge(X2) & ((tail_of(X2) = X1 & head_of(X2) = X0) <~> (tail_of(X2) = X0 & head_of(X2) = X1))) | ~vertex(X0) | ~vertex(X1) | X0 = X1) | ~complete), 28.13/28.22 inference(flattening,[],[f37])). 28.13/28.22 fof(f39,plain,( 28.13/28.22 ! [X0] : (tail_of(X0) != head_of(X0) | ~edge(X0))), 28.13/28.22 inference(ennf_transformation,[],[f22])). 28.13/28.22 fof(f40,plain,( 28.13/28.22 ! [X0] : ((vertex(tail_of(X0)) & vertex(head_of(X0))) | ~edge(X0))), 28.13/28.22 inference(ennf_transformation,[],[f23])). 28.13/28.22 fof(f43,plain,( 28.13/28.22 ! [X0,X1,X2] : ((vertex(X0) & vertex(X1) & ? [X3] : (edge(X3) & tail_of(X3) = X0 & ((head_of(X3) = X1 & path_cons(X3,empty) = X2) <~> ? [X4] : (path_cons(X3,X4) = X2 & path(head_of(X3),X1,X4))))) | ~path(X0,X1,X2))), 28.13/28.22 inference(ennf_transformation,[],[f26])). 28.13/28.22 fof(f44,plain,( 28.13/28.22 ! [X0,X1,X2] : (! [X3,X4] : ((on_path(X3,X0) & on_path(X4,X0) & (? [X5] : (precedes(X5,X4,X0) & sequential(X3,X5)) <~> sequential(X3,X4))) | ~precedes(X3,X4,X0)) | ~path(X1,X2,X0))), 28.13/28.22 inference(ennf_transformation,[],[f27])). 28.13/28.22 fof(f45,plain,( 28.13/28.22 ! [X0,X1,X2] : (! [X3,X4] : (precedes(X3,X4,X0) | (~on_path(X3,X0) | (! [X5] : (~precedes(X5,X4,X0) | ~sequential(X3,X5)) & ~sequential(X3,X4)) | ~on_path(X4,X0))) | ~path(X1,X2,X0))), 28.13/28.22 inference(ennf_transformation,[],[f28])). 28.13/28.22 fof(f46,plain,( 28.13/28.22 ! [X0,X1,X2] : (! [X3,X4] : (precedes(X3,X4,X0) | ~on_path(X3,X0) | (! [X5] : (~precedes(X5,X4,X0) | ~sequential(X3,X5)) & ~sequential(X3,X4)) | ~on_path(X4,X0)) | ~path(X1,X2,X0))), 28.13/28.22 inference(flattening,[],[f45])). 28.13/28.22 fof(f47,plain,( 28.13/28.22 ! [X0,X1,X2] : (path(X0,X1,X2) | (! [X3] : (((path_cons(X3,empty) != X2 | head_of(X3) != X1) & ! [X4] : (~path(head_of(X3),X1,X4) | path_cons(X3,X4) != X2)) | tail_of(X3) != X0 | ~edge(X3)) | ~vertex(X1) | ~vertex(X0)))), 28.13/28.22 inference(ennf_transformation,[],[f29])). 28.13/28.22 fof(f48,plain,( 28.13/28.22 ! [X0,X1,X2] : (path(X0,X1,X2) | ! [X3] : (((path_cons(X3,empty) != X2 | head_of(X3) != X1) & ! [X4] : (~path(head_of(X3),X1,X4) | path_cons(X3,X4) != X2)) | tail_of(X3) != X0 | ~edge(X3)) | ~vertex(X1) | ~vertex(X0))), 28.13/28.22 inference(flattening,[],[f47])). 28.13/28.22 fof(f51,plain,( 28.13/28.22 ! [X0,X1,X2] : ((! [X3] : (less_or_equal(length_of(X2),length_of(X3)) | ~path(X0,X1,X3)) & X0 != X1 & path(X0,X1,X2)) <=> shortest_path(X0,X1,X2))), 28.13/28.22 inference(ennf_transformation,[],[f32])). 28.13/28.22 fof(f52,plain,( 28.13/28.22 ! [X0,X1,X2,X3] : ((vertex(X3) & ? [X4] : ((head_of(X4) = X3 | tail_of(X4) = X3) & on_path(X4,X2))) | (~path(X0,X1,X2) | ~in_path(X3,X2)))), 28.13/28.22 inference(ennf_transformation,[],[f1])). 28.13/28.22 fof(f53,plain,( 28.13/28.22 ! [X0,X1,X2,X3] : ((vertex(X3) & ? [X4] : ((head_of(X4) = X3 | tail_of(X4) = X3) & on_path(X4,X2))) | ~path(X0,X1,X2) | ~in_path(X3,X2))), 28.13/28.22 inference(flattening,[],[f52])). 28.13/28.22 fof(f54,plain,( 28.13/28.22 ! [X0,X1,X2,X3] : ((in_path(tail_of(X3),X2) & in_path(head_of(X3),X2) & edge(X3)) | (~on_path(X3,X2) | ~path(X0,X1,X2)))), 28.13/28.22 inference(ennf_transformation,[],[f33])). 28.13/28.22 fof(f55,plain,( 28.13/28.22 ! [X0,X1,X2,X3] : ((in_path(tail_of(X3),X2) & in_path(head_of(X3),X2) & edge(X3)) | ~on_path(X3,X2) | ~path(X0,X1,X2))), 28.13/28.22 inference(flattening,[],[f54])). 28.13/28.22 fof(f56,plain,( 28.13/28.22 ! [X0,X1,X2,X3,X4] : ((! [X5] : (tail_of(X2) != tail_of(X5) | head_of(X3) != head_of(X5)) & ~precedes(X3,X2,X4)) | (~precedes(X2,X3,X4) | ~shortest_path(X0,X1,X4)))), 28.13/28.22 inference(ennf_transformation,[],[f34])). 28.13/28.22 fof(f57,plain,( 28.13/28.22 ! [X0,X1,X2,X3,X4] : ((! [X5] : (tail_of(X2) != tail_of(X5) | head_of(X3) != head_of(X5)) & ~precedes(X3,X2,X4)) | ~precedes(X2,X3,X4) | ~shortest_path(X0,X1,X4))), 28.13/28.22 inference(flattening,[],[f56])). 28.13/28.22 fof(f58,plain,( 28.13/28.22 ( ! [X5] : (tail_of(sK2) != head_of(X5) | tail_of(X5) != head_of(sK3) | ~edge(X5)) )), 28.13/28.22 inference(cnf_transformation,[],[f36])). 28.13/28.22 fof(f59,plain,( 28.13/28.22 shortest_path(sK0,sK1,sK4)), 28.13/28.22 inference(cnf_transformation,[],[f36])). 28.13/28.22 fof(f60,plain,( 28.13/28.22 precedes(sK2,sK3,sK4)), 28.13/28.22 inference(cnf_transformation,[],[f36])). 28.13/28.22 fof(f61,plain,( 28.13/28.22 complete), 28.13/28.22 inference(cnf_transformation,[],[f36])). 28.13/28.22 fof(f63,plain,( 28.13/28.22 ( ! [X2,X0,X1] : (~sP6(X2,X1,X0) | head_of(X2) = X1) )), 28.13/28.22 inference(cnf_transformation,[],[f38])). 28.13/28.22 fof(f64,plain,( 28.13/28.22 ( ! [X2,X0,X1] : (~sP6(X2,X1,X0) | tail_of(X2) = X0) )), 28.13/28.22 inference(cnf_transformation,[],[f38])). 28.13/28.22 fof(f66,plain,( 28.13/28.22 ( ! [X0,X1] : (~complete | X0 = X1 | ~vertex(X1) | ~vertex(X0) | sP6(sK5(X0,X1),X1,X0) | head_of(sK5(X0,X1)) = X0) )), 28.13/28.22 inference(cnf_transformation,[],[f38])). 28.13/28.22 fof(f67,plain,( 28.13/28.22 ( ! [X0,X1] : (~complete | X0 = X1 | ~vertex(X1) | ~vertex(X0) | sP6(sK5(X0,X1),X1,X0) | tail_of(sK5(X0,X1)) = X1) )), 28.13/28.22 inference(cnf_transformation,[],[f38])). 28.13/28.22 fof(f68,plain,( 28.13/28.22 ( ! [X0,X1] : (~complete | X0 = X1 | ~vertex(X1) | ~vertex(X0) | edge(sK5(X0,X1))) )), 28.13/28.22 inference(cnf_transformation,[],[f38])). 28.13/28.22 fof(f69,plain,( 28.13/28.22 ( ! [X0] : (tail_of(X0) != head_of(X0) | ~edge(X0)) )), 28.13/28.22 inference(cnf_transformation,[],[f39])). 28.13/28.22 fof(f70,plain,( 28.13/28.22 ( ! [X0] : (vertex(head_of(X0)) | ~edge(X0)) )), 28.13/28.22 inference(cnf_transformation,[],[f40])). 28.13/28.22 fof(f71,plain,( 28.13/28.22 ( ! [X0] : (vertex(tail_of(X0)) | ~edge(X0)) )), 28.13/28.22 inference(cnf_transformation,[],[f40])). 28.13/28.22 fof(f73,plain,( 28.13/28.22 ( ! [X0,X1] : (edge(X0) | ~sequential(X0,X1)) )), 28.13/28.22 inference(cnf_transformation,[],[f25])). 28.13/28.22 fof(f77,plain,( 28.13/28.22 ( ! [X0,X1] : (tail_of(X1) != head_of(X0) | ~edge(X0) | X0 = X1 | ~edge(X1) | sequential(X0,X1)) )), 28.13/28.22 inference(cnf_transformation,[],[f25])). 28.13/28.22 fof(f89,plain,( 28.13/28.22 ( ! [X2,X0,X1] : (vertex(X0) | ~path(X0,X1,X2)) )), 28.13/28.22 inference(cnf_transformation,[],[f43])). 28.13/28.22 fof(f91,plain,( 28.13/28.22 ( ! [X4,X2,X0,X3,X1] : (~path(X1,X2,X0) | ~precedes(X3,X4,X0) | sequential(X3,X4) | sequential(X3,sK10(X0,X3,X4))) )), 28.13/28.22 inference(cnf_transformation,[],[f44])). 28.13/28.22 fof(f93,plain,( 28.13/28.22 ( ! [X4,X2,X0,X3,X1] : (on_path(X4,X0) | ~precedes(X3,X4,X0) | ~path(X1,X2,X0)) )), 28.13/28.22 inference(cnf_transformation,[],[f44])). 28.13/28.22 fof(f94,plain,( 28.13/28.22 ( ! [X4,X2,X0,X3,X1] : (on_path(X3,X0) | ~precedes(X3,X4,X0) | ~path(X1,X2,X0)) )), 28.13/28.22 inference(cnf_transformation,[],[f44])). 28.13/28.22 fof(f96,plain,( 28.13/28.22 ( ! [X4,X2,X0,X3,X1] : (~sequential(X3,X4) | ~on_path(X4,X0) | ~path(X1,X2,X0) | ~on_path(X3,X0) | precedes(X3,X4,X0)) )), 28.13/28.22 inference(cnf_transformation,[],[f46])). 28.13/28.22 fof(f98,plain,( 28.13/28.22 ( ! [X2,X0,X3,X1] : (~vertex(X0) | ~vertex(X1) | ~edge(X3) | tail_of(X3) != X0 | head_of(X3) != X1 | path_cons(X3,empty) != X2 | path(X0,X1,X2)) )), 28.13/28.22 inference(cnf_transformation,[],[f48])). 28.13/28.22 fof(f113,plain,( 28.13/28.22 ( ! [X2,X0,X1] : (~shortest_path(X0,X1,X2) | path(X0,X1,X2)) )), 28.13/28.22 inference(cnf_transformation,[],[f51])). 28.13/28.22 fof(f117,plain,( 28.13/28.22 ( ! [X2,X0,X3,X1] : (~in_path(X3,X2) | ~path(X0,X1,X2) | vertex(X3)) )), 28.13/28.22 inference(cnf_transformation,[],[f53])). 28.13/28.22 fof(f118,plain,( 28.13/28.22 ( ! [X2,X0,X3,X1] : (edge(X3) | ~on_path(X3,X2) | ~path(X0,X1,X2)) )), 28.13/28.22 inference(cnf_transformation,[],[f55])). 28.13/28.22 fof(f119,plain,( 28.13/28.22 ( ! [X2,X0,X3,X1] : (~path(X0,X1,X2) | ~on_path(X3,X2) | in_path(head_of(X3),X2)) )), 28.13/28.22 inference(cnf_transformation,[],[f55])). 28.13/28.22 fof(f120,plain,( 28.13/28.22 ( ! [X2,X0,X3,X1] : (~path(X0,X1,X2) | ~on_path(X3,X2) | in_path(tail_of(X3),X2)) )), 28.13/28.22 inference(cnf_transformation,[],[f55])). 28.13/28.22 fof(f121,plain,( 28.13/28.22 ( ! [X4,X2,X0,X5,X3,X1] : (~shortest_path(X0,X1,X4) | ~precedes(X2,X3,X4) | head_of(X3) != head_of(X5) | tail_of(X2) != tail_of(X5)) )), 28.13/28.22 inference(cnf_transformation,[],[f57])). 28.13/28.22 fof(f122,plain,( 28.13/28.22 ( ! [X4,X2,X0,X3,X1] : (~shortest_path(X0,X1,X4) | ~precedes(X2,X3,X4) | ~precedes(X3,X2,X4)) )), 28.13/28.22 inference(cnf_transformation,[],[f57])). 28.13/28.22 fof(f127,plain,( 28.13/28.22 ( ! [X2,X3,X1] : (~vertex(tail_of(X3)) | ~vertex(X1) | ~edge(X3) | head_of(X3) != X1 | path_cons(X3,empty) != X2 | path(tail_of(X3),X1,X2)) )), 28.13/28.22 inference(equality_resolution,[],[f98])). 28.13/28.22 fof(f128,plain,( 28.13/28.22 ( ! [X2,X3] : (~vertex(tail_of(X3)) | ~vertex(head_of(X3)) | ~edge(X3) | path_cons(X3,empty) != X2 | path(tail_of(X3),head_of(X3),X2)) )), 28.13/28.22 inference(equality_resolution,[],[f127])). 28.13/28.22 fof(f129,plain,( 28.13/28.22 ( ! [X3] : (~vertex(head_of(X3)) | ~vertex(tail_of(X3)) | ~edge(X3) | path(tail_of(X3),head_of(X3),path_cons(X3,empty))) )), 28.13/28.22 inference(equality_resolution,[],[f128])). 28.13/28.22 fof(f137,plain,( 28.13/28.22 spl15_0 <=> complete), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_0])])). 28.13/28.22 fof(f138,plain,( 28.13/28.22 complete | ~spl15_0), 28.13/28.22 inference(avatar_component_clause,[],[f137])). 28.13/28.22 fof(f139,plain,( 28.13/28.22 spl15_0), 28.13/28.22 inference(avatar_split_clause,[],[f61,f137])). 28.13/28.22 fof(f141,plain,( 28.13/28.22 ( ! [X0,X1] : (sP6(sK5(X0,X1),X1,X0) | ~vertex(X1) | ~vertex(X0) | X0 = X1 | head_of(sK5(X0,X1)) = X0) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f138,f66])). 28.13/28.22 fof(f142,plain,( 28.13/28.22 ( ! [X0,X1] : (sP6(sK5(X0,X1),X1,X0) | ~vertex(X1) | ~vertex(X0) | X0 = X1 | tail_of(sK5(X0,X1)) = X1) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f138,f67])). 28.13/28.22 fof(f143,plain,( 28.13/28.22 ( ! [X0,X1] : (edge(sK5(X0,X1)) | ~vertex(X1) | ~vertex(X0) | X0 = X1) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f138,f68])). 28.13/28.22 fof(f148,plain,( 28.13/28.22 spl15_2 <=> shortest_path(sK0,sK1,sK4)), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_2])])). 28.13/28.22 fof(f149,plain,( 28.13/28.22 shortest_path(sK0,sK1,sK4) | ~spl15_2), 28.13/28.22 inference(avatar_component_clause,[],[f148])). 28.13/28.22 fof(f150,plain,( 28.13/28.22 spl15_2), 28.13/28.22 inference(avatar_split_clause,[],[f59,f148])). 28.13/28.22 fof(f155,plain,( 28.13/28.22 spl15_4 <=> precedes(sK2,sK3,sK4)), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_4])])). 28.13/28.22 fof(f156,plain,( 28.13/28.22 precedes(sK2,sK3,sK4) | ~spl15_4), 28.13/28.22 inference(avatar_component_clause,[],[f155])). 28.13/28.22 fof(f157,plain,( 28.13/28.22 spl15_4), 28.13/28.22 inference(avatar_split_clause,[],[f60,f155])). 28.13/28.22 fof(f158,plain,( 28.13/28.22 ( ! [X2,X0,X1] : (head_of(X1) != head_of(X2) | ~precedes(X0,X1,sK4) | tail_of(X0) != tail_of(X2)) ) | ~spl15_2), 28.13/28.22 inference(resolution,[],[f149,f121])). 28.13/28.22 fof(f159,plain,( 28.13/28.22 ( ! [X4,X3] : (~precedes(X3,X4,sK4) | ~precedes(X4,X3,sK4)) ) | ~spl15_2), 28.13/28.22 inference(resolution,[],[f149,f122])). 28.13/28.22 fof(f161,plain,( 28.13/28.22 path(sK0,sK1,sK4) | ~spl15_2), 28.13/28.22 inference(resolution,[],[f149,f113])). 28.13/28.22 fof(f166,plain,( 28.13/28.22 spl15_6 <=> path(sK0,sK1,sK4)), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_6])])). 28.13/28.22 fof(f167,plain,( 28.13/28.22 path(sK0,sK1,sK4) | ~spl15_6), 28.13/28.22 inference(avatar_component_clause,[],[f166])). 28.13/28.22 fof(f168,plain,( 28.13/28.22 spl15_6 | ~spl15_2), 28.13/28.22 inference(avatar_split_clause,[],[f161,f148,f166])). 28.13/28.22 fof(f172,plain,( 28.13/28.22 ( ! [X0,X1] : (~precedes(X0,X1,sK4) | sequential(X0,X1) | sequential(X0,sK10(sK4,X0,X1))) ) | ~spl15_6), 28.13/28.22 inference(resolution,[],[f167,f91])). 28.13/28.22 fof(f175,plain,( 28.13/28.22 ( ! [X2] : (in_path(head_of(X2),sK4) | ~on_path(X2,sK4)) ) | ~spl15_6), 28.13/28.22 inference(resolution,[],[f167,f119])). 28.13/28.22 fof(f176,plain,( 28.13/28.22 ( ! [X3] : (in_path(tail_of(X3),sK4) | ~on_path(X3,sK4)) ) | ~spl15_6), 28.13/28.22 inference(resolution,[],[f167,f120])). 28.13/28.22 fof(f178,plain,( 28.13/28.22 ~precedes(sK3,sK2,sK4) | (~spl15_2 | ~spl15_4)), 28.13/28.22 inference(resolution,[],[f159,f156])). 28.13/28.22 fof(f183,plain,( 28.13/28.22 spl15_9 <=> ~precedes(sK3,sK2,sK4)), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_9])])). 28.13/28.22 fof(f184,plain,( 28.13/28.22 ~precedes(sK3,sK2,sK4) | ~spl15_9), 28.13/28.22 inference(avatar_component_clause,[],[f183])). 28.13/28.22 fof(f185,plain,( 28.13/28.22 ~spl15_9 | ~spl15_2 | ~spl15_4), 28.13/28.22 inference(avatar_split_clause,[],[f178,f155,f148,f183])). 28.13/28.22 fof(f196,plain,( 28.13/28.22 ( ! [X0,X1] : (~vertex(X0) | ~vertex(X1) | X0 = X1 | head_of(sK5(X1,X0)) = X1 | head_of(sK5(X1,X0)) = X0) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f141,f63])). 28.13/28.22 fof(f197,plain,( 28.13/28.22 ( ! [X2,X3] : (~vertex(X2) | ~vertex(X3) | X2 = X3 | head_of(sK5(X3,X2)) = X3 | tail_of(sK5(X3,X2)) = X3) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f141,f64])). 28.13/28.22 fof(f198,plain,( 28.13/28.22 ( ! [X0,X1] : (~vertex(X0) | ~vertex(X1) | X0 = X1 | tail_of(sK5(X1,X0)) = X0 | head_of(sK5(X1,X0)) = X0) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f142,f63])). 28.13/28.22 fof(f199,plain,( 28.13/28.22 ( ! [X2,X3] : (~vertex(X2) | ~vertex(X3) | X2 = X3 | tail_of(sK5(X3,X2)) = X2 | tail_of(sK5(X3,X2)) = X3) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f142,f64])). 28.13/28.22 fof(f215,plain,( 28.13/28.22 ( ! [X4,X5,X3] : (~on_path(X3,sK4) | ~path(X4,X5,sK4) | vertex(head_of(X3))) ) | ~spl15_6), 28.13/28.22 inference(resolution,[],[f175,f117])). 28.13/28.22 fof(f217,plain,( 28.13/28.22 ( ! [X4,X5,X3] : (~on_path(X3,sK4) | ~path(X4,X5,sK4) | vertex(tail_of(X3))) ) | ~spl15_6), 28.13/28.22 inference(resolution,[],[f176,f117])). 28.13/28.22 fof(f263,plain,( 28.13/28.22 sequential(sK2,sK3) | sequential(sK2,sK10(sK4,sK2,sK3)) | (~spl15_4 | ~spl15_6)), 28.13/28.22 inference(resolution,[],[f172,f156])). 28.13/28.22 fof(f265,plain,( 28.13/28.22 spl15_26 <=> ! [X3,X2] : ~path(X2,X3,sK4)), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_26])])). 28.13/28.22 fof(f266,plain,( 28.13/28.22 ( ! [X2,X3] : (~path(X2,X3,sK4)) ) | ~spl15_26), 28.13/28.22 inference(avatar_component_clause,[],[f265])). 28.13/28.22 fof(f271,plain,( 28.13/28.22 $false | (~spl15_6 | ~spl15_26)), 28.13/28.22 inference(resolution,[],[f266,f167])). 28.13/28.22 fof(f272,plain,( 28.13/28.22 ~spl15_6 | ~spl15_26), 28.13/28.22 inference(avatar_contradiction_clause,[],[f271])). 28.13/28.22 fof(f285,plain,( 28.13/28.22 ( ! [X10,X11] : (~vertex(X10) | head_of(X11) = X10 | head_of(sK5(X10,head_of(X11))) = X10 | head_of(X11) = head_of(sK5(X10,head_of(X11))) | ~edge(X11)) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f196,f70])). 28.13/28.22 fof(f289,plain,( 28.13/28.22 ( ! [X8,X9] : (~vertex(X8) | tail_of(X9) = X8 | head_of(sK5(X8,tail_of(X9))) = X8 | tail_of(sK5(X8,tail_of(X9))) = X8 | ~edge(X9)) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f197,f71])). 28.13/28.22 fof(f301,plain,( 28.13/28.22 ( ! [X8,X9] : (~vertex(X8) | tail_of(X9) = X8 | tail_of(X9) = tail_of(sK5(X8,tail_of(X9))) | tail_of(X9) = head_of(sK5(X8,tail_of(X9))) | ~edge(X9)) ) | ~spl15_0), 28.13/28.22 inference(resolution,[],[f198,f71])). 28.13/28.22 fof(f317,plain,( 28.13/28.22 spl15_34 <=> ! [X3] : (~on_path(X3,sK4) | vertex(head_of(X3)))), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_34])])). 28.13/28.22 fof(f318,plain,( 28.13/28.22 ( ! [X3] : (vertex(head_of(X3)) | ~on_path(X3,sK4)) ) | ~spl15_34), 28.13/28.22 inference(avatar_component_clause,[],[f317])). 28.13/28.22 fof(f319,plain,( 28.13/28.22 spl15_26 | spl15_34 | ~spl15_6), 28.13/28.22 inference(avatar_split_clause,[],[f215,f166,f317,f265])). 28.13/28.22 fof(f320,plain,( 28.13/28.22 ( ! [X0] : (~on_path(X0,sK4) | ~vertex(tail_of(X0)) | ~edge(X0) | path(tail_of(X0),head_of(X0),path_cons(X0,empty))) ) | ~spl15_34), 28.13/28.22 inference(resolution,[],[f318,f129])). 28.13/28.22 fof(f321,plain,( 28.13/28.22 ( ! [X2,X1] : (~on_path(X1,sK4) | ~vertex(X2) | head_of(X1) = X2 | tail_of(sK5(X2,head_of(X1))) = head_of(X1) | tail_of(sK5(X2,head_of(X1))) = X2) ) | (~spl15_0 | ~spl15_34)), 28.13/28.22 inference(resolution,[],[f318,f199])). 28.13/28.22 fof(f323,plain,( 28.13/28.22 ( ! [X6,X5] : (~on_path(X5,sK4) | ~vertex(X6) | head_of(X5) = X6 | head_of(sK5(X6,head_of(X5))) = X6 | tail_of(sK5(X6,head_of(X5))) = X6) ) | (~spl15_0 | ~spl15_34)), 28.13/28.22 inference(resolution,[],[f318,f197])). 28.13/28.22 fof(f325,plain,( 28.13/28.22 ( ! [X0] : (~on_path(X0,sK4) | ~edge(X0) | path(tail_of(X0),head_of(X0),path_cons(X0,empty))) ) | ~spl15_34), 28.13/28.22 inference(subsumption_resolution,[],[f320,f71])). 28.13/28.22 fof(f327,plain,( 28.13/28.22 spl15_36 <=> ! [X3] : (~on_path(X3,sK4) | vertex(tail_of(X3)))), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_36])])). 28.13/28.22 fof(f328,plain,( 28.13/28.22 ( ! [X3] : (vertex(tail_of(X3)) | ~on_path(X3,sK4)) ) | ~spl15_36), 28.13/28.22 inference(avatar_component_clause,[],[f327])). 28.13/28.22 fof(f329,plain,( 28.13/28.22 spl15_26 | spl15_36 | ~spl15_6), 28.13/28.22 inference(avatar_split_clause,[],[f217,f166,f327,f265])). 28.13/28.22 fof(f354,plain,( 28.13/28.22 spl15_42 <=> sequential(sK2,sK10(sK4,sK2,sK3))), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_42])])). 28.13/28.22 fof(f355,plain,( 28.13/28.22 sequential(sK2,sK10(sK4,sK2,sK3)) | ~spl15_42), 28.13/28.22 inference(avatar_component_clause,[],[f354])). 28.13/28.22 fof(f360,plain,( 28.13/28.22 spl15_44 <=> sequential(sK2,sK3)), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_44])])). 28.13/28.22 fof(f361,plain,( 28.13/28.22 sequential(sK2,sK3) | ~spl15_44), 28.13/28.22 inference(avatar_component_clause,[],[f360])). 28.13/28.22 fof(f362,plain,( 28.13/28.22 spl15_42 | spl15_44 | ~spl15_4 | ~spl15_6), 28.13/28.22 inference(avatar_split_clause,[],[f263,f166,f155,f360,f354])). 28.13/28.22 fof(f446,plain,( 28.13/28.22 spl15_58 <=> edge(sK2)), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_58])])). 28.13/28.22 fof(f447,plain,( 28.13/28.22 edge(sK2) | ~spl15_58), 28.13/28.22 inference(avatar_component_clause,[],[f446])). 28.13/28.22 fof(f449,plain,( 28.13/28.22 spl15_59 <=> ~edge(sK2)), 28.13/28.22 introduced(avatar_definition,[new_symbols(naming,[spl15_59])])). 28.13/28.22 fof(f450,plain,( 28.13/28.22 ~edge(sK2) | ~spl15_59), 28.13/28.22 inference(avatar_component_clause,[],[f449])). 28.13/28.22 fof(f458,plain,( 28.13/28.22 ( ! [X9] : (~sequential(sK2,X9)) ) | ~spl15_59), 28.13/28.22 inference(resolution,[],[f450,f73])). 28.13/28.22 fof(f461,plain,( 28.13/28.22 $false | (~spl15_42 | ~spl15_59)), 28.13/28.22 inference(resolution,[],[f458,f355])). 28.13/28.22 fof(f462,plain,( 28.13/28.22 ~spl15_42 | spl15_59), 28.13/28.22 inference(avatar_contradiction_clause,[],[f461])). 28.13/28.22 fof(f470,plain,( 28.13/28.22 $false | (~spl15_44 | ~spl15_59)), 28.13/28.22 inference(subsumption_resolution,[],[f361,f458])). 28.13/28.22 fof(f471,plain,( 28.13/28.22 ~spl15_44 | spl15_59), 28.13/28.22 inference(avatar_contradiction_clause,[],[f470])). 28.13/28.22 fof(f514,plain,( 28.13/28.22 ( ! [X12,X13] : (~on_path(X13,sK4) | head_of(X13) = head_of(sK5(head_of(X13),tail_of(X12))) | tail_of(sK5(head_of(X13),tail_of(X12))) = head_of(X13) | ~edge(X12) | tail_of(X12) = head_of(X13)) ) | (~spl15_0 | ~spl15_34)), 28.13/28.22 inference(resolution,[],[f289,f318])). 28.13/28.22 fof(f595,plain,( 28.13/28.22 ( ! [X8,X9] : (~on_path(X9,sK4) | tail_of(X9) = head_of(sK5(tail_of(X9),head_of(X8))) | head_of(X8) = head_of(sK5(tail_of(X9),head_of(X8))) | ~edge(X8) | tail_of(X9) = head_of(X8)) ) | (~spl15_0 | ~spl15_36)), 28.13/28.22 inference(resolution,[],[f285,f328])). 28.13/28.22 fof(f634,plain,( 28.13/28.22 ( ! [X14,X13] : (~on_path(X14,sK4) | tail_of(X13) = tail_of(sK5(head_of(X14),tail_of(X13))) | tail_of(X13) = head_of(sK5(head_of(X14),tail_of(X13))) | ~edge(X13) | tail_of(X13) = head_of(X14)) ) | (~spl15_0 | ~spl15_34)), 28.13/28.22 inference(resolution,[],[f301,f318])). 28.13/28.23 fof(f668,plain,( 28.13/28.23 spl15_72 <=> on_path(sK2,sK4)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_72])])). 28.13/28.23 fof(f669,plain,( 28.13/28.23 on_path(sK2,sK4) | ~spl15_72), 28.13/28.23 inference(avatar_component_clause,[],[f668])). 28.13/28.23 fof(f671,plain,( 28.13/28.23 spl15_73 <=> ~on_path(sK2,sK4)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_73])])). 28.13/28.23 fof(f672,plain,( 28.13/28.23 ~on_path(sK2,sK4) | ~spl15_73), 28.13/28.23 inference(avatar_component_clause,[],[f671])). 28.13/28.23 fof(f681,plain,( 28.13/28.23 ( ! [X4,X5,X3] : (~precedes(sK2,X3,sK4) | ~path(X4,X5,sK4)) ) | ~spl15_73), 28.13/28.23 inference(resolution,[],[f672,f94])). 28.13/28.23 fof(f689,plain,( 28.13/28.23 spl15_78 <=> on_path(sK3,sK4)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_78])])). 28.13/28.23 fof(f690,plain,( 28.13/28.23 on_path(sK3,sK4) | ~spl15_78), 28.13/28.23 inference(avatar_component_clause,[],[f689])). 28.13/28.23 fof(f692,plain,( 28.13/28.23 spl15_79 <=> ~on_path(sK3,sK4)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_79])])). 28.13/28.23 fof(f693,plain,( 28.13/28.23 ~on_path(sK3,sK4) | ~spl15_79), 28.13/28.23 inference(avatar_component_clause,[],[f692])). 28.13/28.23 fof(f699,plain,( 28.13/28.23 ( ! [X2,X0,X1] : (~precedes(X0,sK3,sK4) | ~path(X1,X2,sK4)) ) | ~spl15_79), 28.13/28.23 inference(resolution,[],[f693,f93])). 28.13/28.23 fof(f714,plain,( 28.13/28.23 spl15_84 <=> ! [X3] : ~precedes(sK2,X3,sK4)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_84])])). 28.13/28.23 fof(f715,plain,( 28.13/28.23 ( ! [X3] : (~precedes(sK2,X3,sK4)) ) | ~spl15_84), 28.13/28.23 inference(avatar_component_clause,[],[f714])). 28.13/28.23 fof(f716,plain,( 28.13/28.23 spl15_26 | spl15_84 | spl15_73), 28.13/28.23 inference(avatar_split_clause,[],[f681,f671,f714,f265])). 28.13/28.23 fof(f717,plain,( 28.13/28.23 $false | (~spl15_4 | ~spl15_84)), 28.13/28.23 inference(resolution,[],[f715,f156])). 28.13/28.23 fof(f718,plain,( 28.13/28.23 ~spl15_4 | ~spl15_84), 28.13/28.23 inference(avatar_contradiction_clause,[],[f717])). 28.13/28.23 fof(f732,plain,( 28.13/28.23 ~edge(sK2) | path(tail_of(sK2),head_of(sK2),path_cons(sK2,empty)) | (~spl15_34 | ~spl15_72)), 28.13/28.23 inference(resolution,[],[f669,f325])). 28.13/28.23 fof(f735,plain,( 28.13/28.23 path(tail_of(sK2),head_of(sK2),path_cons(sK2,empty)) | (~spl15_34 | ~spl15_58 | ~spl15_72)), 28.13/28.23 inference(subsumption_resolution,[],[f732,f447])). 28.13/28.23 fof(f773,plain,( 28.13/28.23 spl15_86 <=> ! [X0] : ~precedes(X0,sK3,sK4)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_86])])). 28.13/28.23 fof(f774,plain,( 28.13/28.23 ( ! [X0] : (~precedes(X0,sK3,sK4)) ) | ~spl15_86), 28.13/28.23 inference(avatar_component_clause,[],[f773])). 28.13/28.23 fof(f775,plain,( 28.13/28.23 spl15_26 | spl15_86 | spl15_79), 28.13/28.23 inference(avatar_split_clause,[],[f699,f692,f773,f265])). 28.13/28.23 fof(f789,plain,( 28.13/28.23 $false | (~spl15_4 | ~spl15_86)), 28.13/28.23 inference(resolution,[],[f774,f156])). 28.13/28.23 fof(f790,plain,( 28.13/28.23 ~spl15_4 | ~spl15_86), 28.13/28.23 inference(avatar_contradiction_clause,[],[f789])). 28.13/28.23 fof(f949,plain,( 28.13/28.23 ( ! [X4,X2,X0,X3,X1] : (~vertex(X0) | head_of(X1) = X0 | head_of(sK5(X0,head_of(X1))) = X0 | tail_of(sK5(X0,head_of(X1))) = X0 | ~precedes(X2,X1,sK4) | ~path(X3,X4,sK4)) ) | (~spl15_0 | ~spl15_34)), 28.13/28.23 inference(resolution,[],[f323,f93])). 28.13/28.23 fof(f996,plain,( 28.13/28.23 spl15_100 <=> edge(sK3)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_100])])). 28.13/28.23 fof(f997,plain,( 28.13/28.23 edge(sK3) | ~spl15_100), 28.13/28.23 inference(avatar_component_clause,[],[f996])). 28.13/28.23 fof(f999,plain,( 28.13/28.23 spl15_101 <=> ~edge(sK3)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_101])])). 28.13/28.23 fof(f1000,plain,( 28.13/28.23 ~edge(sK3) | ~spl15_101), 28.13/28.23 inference(avatar_component_clause,[],[f999])). 28.13/28.23 fof(f1072,plain,( 28.13/28.23 ( ! [X4,X2,X0,X3,X1] : (~vertex(X0) | head_of(X1) = X0 | tail_of(sK5(X0,head_of(X1))) = head_of(X1) | tail_of(sK5(X0,head_of(X1))) = X0 | ~precedes(X2,X1,sK4) | ~path(X3,X4,sK4)) ) | (~spl15_0 | ~spl15_34)), 28.13/28.23 inference(resolution,[],[f321,f93])). 28.13/28.23 fof(f1500,plain,( 28.13/28.23 ( ! [X4,X2,X0,X3,X1] : (head_of(X0) = head_of(sK5(head_of(X0),tail_of(X1))) | tail_of(sK5(head_of(X0),tail_of(X1))) = head_of(X0) | ~edge(X1) | tail_of(X1) = head_of(X0) | ~precedes(X2,X0,sK4) | ~path(X3,X4,sK4)) ) | (~spl15_0 | ~spl15_34)), 28.13/28.23 inference(resolution,[],[f514,f93])). 28.13/28.23 fof(f1567,plain,( 28.13/28.23 ( ! [X6,X8,X7,X5,X9] : (tail_of(X5) = head_of(sK5(tail_of(X5),head_of(X6))) | head_of(X6) = head_of(sK5(tail_of(X5),head_of(X6))) | ~edge(X6) | tail_of(X5) = head_of(X6) | ~precedes(X5,X7,sK4) | ~path(X8,X9,sK4)) ) | (~spl15_0 | ~spl15_36)), 28.13/28.23 inference(resolution,[],[f595,f94])). 28.13/28.23 fof(f1580,plain,( 28.13/28.23 spl15_145 <=> ~vertex(tail_of(sK2))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_145])])). 28.13/28.23 fof(f1581,plain,( 28.13/28.23 ~vertex(tail_of(sK2)) | ~spl15_145), 28.13/28.23 inference(avatar_component_clause,[],[f1580])). 28.13/28.23 fof(f1583,plain,( 28.13/28.23 spl15_144 <=> vertex(tail_of(sK2))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_144])])). 28.13/28.23 fof(f1584,plain,( 28.13/28.23 vertex(tail_of(sK2)) | ~spl15_144), 28.13/28.23 inference(avatar_component_clause,[],[f1583])). 28.13/28.23 fof(f1596,plain,( 28.13/28.23 ~on_path(sK2,sK4) | (~spl15_36 | ~spl15_145)), 28.13/28.23 inference(resolution,[],[f1581,f328])). 28.13/28.23 fof(f1600,plain,( 28.13/28.23 $false | (~spl15_36 | ~spl15_72 | ~spl15_145)), 28.13/28.23 inference(subsumption_resolution,[],[f1596,f669])). 28.13/28.23 fof(f1601,plain,( 28.13/28.23 ~spl15_36 | ~spl15_72 | spl15_145), 28.13/28.23 inference(avatar_contradiction_clause,[],[f1600])). 28.13/28.23 fof(f1654,plain,( 28.13/28.23 ( ! [X4,X2,X0,X3,X1] : (tail_of(X0) = tail_of(sK5(head_of(X1),tail_of(X0))) | tail_of(X0) = head_of(sK5(head_of(X1),tail_of(X0))) | ~edge(X0) | tail_of(X0) = head_of(X1) | ~precedes(X2,X1,sK4) | ~path(X3,X4,sK4)) ) | (~spl15_0 | ~spl15_34)), 28.13/28.23 inference(resolution,[],[f634,f93])). 28.13/28.23 fof(f2294,plain,( 28.13/28.23 spl15_209 <=> ~vertex(head_of(sK3))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_209])])). 28.13/28.23 fof(f2295,plain,( 28.13/28.23 ~vertex(head_of(sK3)) | ~spl15_209), 28.13/28.23 inference(avatar_component_clause,[],[f2294])). 28.13/28.23 fof(f2297,plain,( 28.13/28.23 spl15_208 <=> vertex(head_of(sK3))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_208])])). 28.13/28.23 fof(f2298,plain,( 28.13/28.23 vertex(head_of(sK3)) | ~spl15_208), 28.13/28.23 inference(avatar_component_clause,[],[f2297])). 28.13/28.23 fof(f2319,plain,( 28.13/28.23 ~on_path(sK3,sK4) | (~spl15_34 | ~spl15_209)), 28.13/28.23 inference(resolution,[],[f2295,f318])). 28.13/28.23 fof(f2323,plain,( 28.13/28.23 $false | (~spl15_34 | ~spl15_78 | ~spl15_209)), 28.13/28.23 inference(subsumption_resolution,[],[f2319,f690])). 28.13/28.23 fof(f2324,plain,( 28.13/28.23 ~spl15_34 | ~spl15_78 | spl15_209), 28.13/28.23 inference(avatar_contradiction_clause,[],[f2323])). 28.13/28.23 fof(f3903,plain,( 28.13/28.23 spl15_304 <=> ! [X1,X0,X2] : (~vertex(X0) | ~precedes(X2,X1,sK4) | tail_of(sK5(X0,head_of(X1))) = X0 | head_of(sK5(X0,head_of(X1))) = X0 | head_of(X1) = X0)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_304])])). 28.13/28.23 fof(f3904,plain,( 28.13/28.23 ( ! [X2,X0,X1] : (~precedes(X2,X1,sK4) | ~vertex(X0) | tail_of(sK5(X0,head_of(X1))) = X0 | head_of(sK5(X0,head_of(X1))) = X0 | head_of(X1) = X0) ) | ~spl15_304), 28.13/28.23 inference(avatar_component_clause,[],[f3903])). 28.13/28.23 fof(f3905,plain,( 28.13/28.23 spl15_26 | spl15_304 | ~spl15_0 | ~spl15_34), 28.13/28.23 inference(avatar_split_clause,[],[f949,f317,f137,f3903,f265])). 28.13/28.23 fof(f3945,plain,( 28.13/28.23 ( ! [X5] : (~vertex(X5) | tail_of(sK5(X5,head_of(sK3))) = X5 | head_of(sK5(X5,head_of(sK3))) = X5 | head_of(sK3) = X5) ) | (~spl15_4 | ~spl15_304)), 28.13/28.23 inference(resolution,[],[f3904,f156])). 28.13/28.23 fof(f4218,plain,( 28.13/28.23 spl15_350 <=> ! [X1,X0,X2] : (~vertex(X0) | ~precedes(X2,X1,sK4) | tail_of(sK5(X0,head_of(X1))) = X0 | tail_of(sK5(X0,head_of(X1))) = head_of(X1) | head_of(X1) = X0)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_350])])). 28.13/28.23 fof(f4219,plain,( 28.13/28.23 ( ! [X2,X0,X1] : (~precedes(X2,X1,sK4) | ~vertex(X0) | tail_of(sK5(X0,head_of(X1))) = X0 | tail_of(sK5(X0,head_of(X1))) = head_of(X1) | head_of(X1) = X0) ) | ~spl15_350), 28.13/28.23 inference(avatar_component_clause,[],[f4218])). 28.13/28.23 fof(f4220,plain,( 28.13/28.23 spl15_26 | spl15_350 | ~spl15_0 | ~spl15_34), 28.13/28.23 inference(avatar_split_clause,[],[f1072,f317,f137,f4218,f265])). 28.13/28.23 fof(f4223,plain,( 28.13/28.23 ( ! [X5] : (~vertex(X5) | tail_of(sK5(X5,head_of(sK3))) = X5 | tail_of(sK5(X5,head_of(sK3))) = head_of(sK3) | head_of(sK3) = X5) ) | (~spl15_4 | ~spl15_350)), 28.13/28.23 inference(resolution,[],[f4219,f156])). 28.13/28.23 fof(f4867,plain,( 28.13/28.23 spl15_438 <=> ! [X1,X0,X2] : (head_of(X0) = head_of(sK5(head_of(X0),tail_of(X1))) | ~precedes(X2,X0,sK4) | tail_of(X1) = head_of(X0) | ~edge(X1) | tail_of(sK5(head_of(X0),tail_of(X1))) = head_of(X0))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_438])])). 28.13/28.23 fof(f4868,plain,( 28.13/28.23 ( ! [X2,X0,X1] : (~precedes(X2,X0,sK4) | head_of(X0) = head_of(sK5(head_of(X0),tail_of(X1))) | tail_of(X1) = head_of(X0) | ~edge(X1) | tail_of(sK5(head_of(X0),tail_of(X1))) = head_of(X0)) ) | ~spl15_438), 28.13/28.23 inference(avatar_component_clause,[],[f4867])). 28.13/28.23 fof(f4869,plain,( 28.13/28.23 spl15_26 | spl15_438 | ~spl15_0 | ~spl15_34), 28.13/28.23 inference(avatar_split_clause,[],[f1500,f317,f137,f4867,f265])). 28.13/28.23 fof(f4882,plain,( 28.13/28.23 ( ! [X5] : (~edge(X5) | tail_of(X5) = head_of(sK3) | head_of(sK3) = head_of(sK5(head_of(sK3),tail_of(X5))) | tail_of(sK5(head_of(sK3),tail_of(X5))) = head_of(sK3)) ) | (~spl15_4 | ~spl15_438)), 28.13/28.23 inference(resolution,[],[f4868,f156])). 28.13/28.23 fof(f5128,plain,( 28.13/28.23 spl15_476 <=> ! [X5,X7,X6] : (tail_of(X5) = head_of(sK5(tail_of(X5),head_of(X6))) | ~precedes(X5,X7,sK4) | tail_of(X5) = head_of(X6) | ~edge(X6) | head_of(X6) = head_of(sK5(tail_of(X5),head_of(X6))))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_476])])). 28.13/28.23 fof(f5129,plain,( 28.13/28.23 ( ! [X6,X7,X5] : (~precedes(X5,X7,sK4) | tail_of(X5) = head_of(sK5(tail_of(X5),head_of(X6))) | tail_of(X5) = head_of(X6) | ~edge(X6) | head_of(X6) = head_of(sK5(tail_of(X5),head_of(X6)))) ) | ~spl15_476), 28.13/28.23 inference(avatar_component_clause,[],[f5128])). 28.13/28.23 fof(f5130,plain,( 28.13/28.23 spl15_26 | spl15_476 | ~spl15_0 | ~spl15_36), 28.13/28.23 inference(avatar_split_clause,[],[f1567,f327,f137,f5128,f265])). 28.13/28.23 fof(f5132,plain,( 28.13/28.23 ( ! [X5] : (~edge(X5) | tail_of(sK2) = head_of(X5) | tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(X5))) | head_of(X5) = head_of(sK5(tail_of(sK2),head_of(X5)))) ) | (~spl15_4 | ~spl15_476)), 28.13/28.23 inference(resolution,[],[f5129,f156])). 28.13/28.23 fof(f5221,plain,( 28.13/28.23 spl15_508 <=> ! [X1,X0,X2] : (tail_of(X0) = tail_of(sK5(head_of(X1),tail_of(X0))) | ~precedes(X2,X1,sK4) | tail_of(X0) = head_of(X1) | ~edge(X0) | tail_of(X0) = head_of(sK5(head_of(X1),tail_of(X0))))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_508])])). 28.13/28.23 fof(f5222,plain,( 28.13/28.23 ( ! [X2,X0,X1] : (~precedes(X2,X1,sK4) | tail_of(X0) = tail_of(sK5(head_of(X1),tail_of(X0))) | tail_of(X0) = head_of(X1) | ~edge(X0) | tail_of(X0) = head_of(sK5(head_of(X1),tail_of(X0)))) ) | ~spl15_508), 28.13/28.23 inference(avatar_component_clause,[],[f5221])). 28.13/28.23 fof(f5223,plain,( 28.13/28.23 spl15_26 | spl15_508 | ~spl15_0 | ~spl15_34), 28.13/28.23 inference(avatar_split_clause,[],[f1654,f317,f137,f5221,f265])). 28.13/28.23 fof(f5229,plain,( 28.13/28.23 ( ! [X5] : (~edge(X5) | tail_of(X5) = head_of(sK3) | tail_of(X5) = tail_of(sK5(head_of(sK3),tail_of(X5))) | tail_of(X5) = head_of(sK5(head_of(sK3),tail_of(X5)))) ) | (~spl15_4 | ~spl15_508)), 28.13/28.23 inference(resolution,[],[f5222,f156])). 28.13/28.23 fof(f9441,plain,( 28.13/28.23 ( ! [X4,X5,X3] : (tail_of(sK5(X3,head_of(sK3))) = X3 | head_of(sK5(X3,head_of(sK3))) = X3 | head_of(sK3) = X3 | ~path(X3,X4,X5)) ) | (~spl15_4 | ~spl15_304)), 28.13/28.23 inference(resolution,[],[f3945,f89])). 28.13/28.23 fof(f10082,plain,( 28.13/28.23 ( ! [X4,X5,X3] : (tail_of(sK5(X3,head_of(sK3))) = head_of(sK3) | tail_of(sK5(X3,head_of(sK3))) = X3 | head_of(sK3) = X3 | ~path(X3,X4,X5)) ) | (~spl15_4 | ~spl15_350)), 28.13/28.23 inference(resolution,[],[f4223,f89])). 28.13/28.23 fof(f10907,plain,( 28.13/28.23 spl15_866 <=> tail_of(sK2) = head_of(sK3)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_866])])). 28.13/28.23 fof(f10908,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK3) | ~spl15_866), 28.13/28.23 inference(avatar_component_clause,[],[f10907])). 28.13/28.23 fof(f10910,plain,( 28.13/28.23 spl15_867 <=> tail_of(sK2) != head_of(sK3)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_867])])). 28.13/28.23 fof(f10911,plain,( 28.13/28.23 tail_of(sK2) != head_of(sK3) | ~spl15_867), 28.13/28.23 inference(avatar_component_clause,[],[f10910])). 28.13/28.23 fof(f13554,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK3) | head_of(sK3) = head_of(sK5(head_of(sK3),tail_of(sK2))) | tail_of(sK5(head_of(sK3),tail_of(sK2))) = head_of(sK3) | (~spl15_4 | ~spl15_58 | ~spl15_438)), 28.13/28.23 inference(resolution,[],[f4882,f447])). 28.13/28.23 fof(f13567,plain,( 28.13/28.23 head_of(sK3) = head_of(sK5(head_of(sK3),tail_of(sK2))) | tail_of(sK5(head_of(sK3),tail_of(sK2))) = head_of(sK3) | (~spl15_4 | ~spl15_58 | ~spl15_438 | ~spl15_867)), 28.13/28.23 inference(subsumption_resolution,[],[f13554,f10911])). 28.13/28.23 fof(f14069,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK3) | tail_of(sK2) = tail_of(sK5(head_of(sK3),tail_of(sK2))) | tail_of(sK2) = head_of(sK5(head_of(sK3),tail_of(sK2))) | (~spl15_4 | ~spl15_58 | ~spl15_508)), 28.13/28.23 inference(resolution,[],[f5229,f447])). 28.13/28.23 fof(f14082,plain,( 28.13/28.23 tail_of(sK2) = tail_of(sK5(head_of(sK3),tail_of(sK2))) | tail_of(sK2) = head_of(sK5(head_of(sK3),tail_of(sK2))) | (~spl15_4 | ~spl15_58 | ~spl15_508 | ~spl15_867)), 28.13/28.23 inference(subsumption_resolution,[],[f14069,f10911])). 28.13/28.23 fof(f56709,plain,( 28.13/28.23 spl15_1905 <=> tail_of(sK2) != head_of(sK5(tail_of(sK2),head_of(sK3)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1905])])). 28.13/28.23 fof(f56710,plain,( 28.13/28.23 tail_of(sK2) != head_of(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_1905), 28.13/28.23 inference(avatar_component_clause,[],[f56709])). 28.13/28.23 fof(f56712,plain,( 28.13/28.23 spl15_1904 <=> tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK3)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1904])])). 28.13/28.23 fof(f56713,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_1904), 28.13/28.23 inference(avatar_component_clause,[],[f56712])). 28.13/28.23 fof(f56715,plain,( 28.13/28.23 spl15_1907 <=> tail_of(sK2) != tail_of(sK5(tail_of(sK2),head_of(sK3)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1907])])). 28.13/28.23 fof(f56716,plain,( 28.13/28.23 tail_of(sK2) != tail_of(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_1907), 28.13/28.23 inference(avatar_component_clause,[],[f56715])). 28.13/28.23 fof(f56718,plain,( 28.13/28.23 spl15_1906 <=> tail_of(sK2) = tail_of(sK5(tail_of(sK2),head_of(sK3)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1906])])). 28.13/28.23 fof(f56719,plain,( 28.13/28.23 tail_of(sK2) = tail_of(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_1906), 28.13/28.23 inference(avatar_component_clause,[],[f56718])). 28.13/28.23 fof(f56724,plain,( 28.13/28.23 tail_of(sK2) != tail_of(sK2) | tail_of(sK5(tail_of(sK2),head_of(sK3))) != head_of(sK3) | ~edge(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_1904), 28.13/28.23 inference(superposition,[],[f58,f56713])). 28.13/28.23 fof(f56751,plain,( 28.13/28.23 tail_of(sK5(tail_of(sK2),head_of(sK3))) != head_of(sK3) | ~edge(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_1904), 28.13/28.23 inference(trivial_inequality_removal,[],[f56724])). 28.13/28.23 fof(f56804,plain,( 28.13/28.23 spl15_1913 <=> tail_of(sK5(tail_of(sK2),head_of(sK3))) != head_of(sK3)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1913])])). 28.13/28.23 fof(f56805,plain,( 28.13/28.23 tail_of(sK5(tail_of(sK2),head_of(sK3))) != head_of(sK3) | ~spl15_1913), 28.13/28.23 inference(avatar_component_clause,[],[f56804])). 28.13/28.23 fof(f56807,plain,( 28.13/28.23 spl15_1912 <=> tail_of(sK5(tail_of(sK2),head_of(sK3))) = head_of(sK3)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1912])])). 28.13/28.23 fof(f56808,plain,( 28.13/28.23 tail_of(sK5(tail_of(sK2),head_of(sK3))) = head_of(sK3) | ~spl15_1912), 28.13/28.23 inference(avatar_component_clause,[],[f56807])). 28.13/28.23 fof(f56898,plain,( 28.13/28.23 spl15_1918 <=> tail_of(sK5(head_of(sK3),tail_of(sK2))) = head_of(sK3)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1918])])). 28.13/28.23 fof(f56899,plain,( 28.13/28.23 tail_of(sK5(head_of(sK3),tail_of(sK2))) = head_of(sK3) | ~spl15_1918), 28.13/28.23 inference(avatar_component_clause,[],[f56898])). 28.13/28.23 fof(f56904,plain,( 28.13/28.23 spl15_1920 <=> head_of(sK3) = head_of(sK5(head_of(sK3),tail_of(sK2)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1920])])). 28.13/28.23 fof(f56905,plain,( 28.13/28.23 head_of(sK3) = head_of(sK5(head_of(sK3),tail_of(sK2))) | ~spl15_1920), 28.13/28.23 inference(avatar_component_clause,[],[f56904])). 28.13/28.23 fof(f56906,plain,( 28.13/28.23 spl15_1918 | spl15_1920 | ~spl15_4 | ~spl15_58 | ~spl15_438 | spl15_867), 28.13/28.23 inference(avatar_split_clause,[],[f13567,f10910,f4867,f446,f155,f56904,f56898])). 28.13/28.23 fof(f56974,plain,( 28.13/28.23 spl15_1922 <=> tail_of(sK2) = head_of(sK5(head_of(sK3),tail_of(sK2)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1922])])). 28.13/28.23 fof(f56975,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK5(head_of(sK3),tail_of(sK2))) | ~spl15_1922), 28.13/28.23 inference(avatar_component_clause,[],[f56974])). 28.13/28.23 fof(f56980,plain,( 28.13/28.23 spl15_1924 <=> tail_of(sK2) = tail_of(sK5(head_of(sK3),tail_of(sK2)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1924])])). 28.13/28.23 fof(f56982,plain,( 28.13/28.23 spl15_1922 | spl15_1924 | ~spl15_4 | ~spl15_58 | ~spl15_508 | spl15_867), 28.13/28.23 inference(avatar_split_clause,[],[f14082,f10910,f5221,f446,f155,f56980,f56974])). 28.13/28.23 fof(f57021,plain,( 28.13/28.23 tail_of(sK2) != tail_of(sK5(head_of(sK3),tail_of(sK2))) | tail_of(sK5(head_of(sK3),tail_of(sK2))) != head_of(sK3) | tail_of(sK2) = head_of(sK3)), 28.13/28.23 introduced(theory_axiom,[])). 28.13/28.23 fof(f57659,plain,( 28.13/28.23 ~edge(sK5(tail_of(sK2),head_of(sK3))) | (~spl15_1904 | ~spl15_1912)), 28.13/28.23 inference(subsumption_resolution,[],[f56751,f56808])). 28.13/28.23 fof(f57661,plain,( 28.13/28.23 spl15_1954 <=> edge(sK5(tail_of(sK2),head_of(sK3)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1954])])). 28.13/28.23 fof(f57662,plain,( 28.13/28.23 edge(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_1954), 28.13/28.23 inference(avatar_component_clause,[],[f57661])). 28.13/28.23 fof(f57664,plain,( 28.13/28.23 spl15_1955 <=> ~edge(sK5(tail_of(sK2),head_of(sK3)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1955])])). 28.13/28.23 fof(f57665,plain,( 28.13/28.23 ~edge(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_1955), 28.13/28.23 inference(avatar_component_clause,[],[f57664])). 28.13/28.23 fof(f57666,plain,( 28.13/28.23 ~spl15_1955 | ~spl15_1904 | ~spl15_1912), 28.13/28.23 inference(avatar_split_clause,[],[f57659,f56807,f56712,f57664])). 28.13/28.23 fof(f57667,plain,( 28.13/28.23 ~vertex(head_of(sK3)) | ~vertex(tail_of(sK2)) | tail_of(sK2) = head_of(sK3) | (~spl15_0 | ~spl15_1955)), 28.13/28.23 inference(resolution,[],[f57665,f143])). 28.13/28.23 fof(f57674,plain,( 28.13/28.23 ~vertex(tail_of(sK2)) | tail_of(sK2) = head_of(sK3) | (~spl15_0 | ~spl15_208 | ~spl15_1955)), 28.13/28.23 inference(subsumption_resolution,[],[f57667,f2298])). 28.13/28.23 fof(f57675,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK3) | (~spl15_0 | ~spl15_144 | ~spl15_208 | ~spl15_1955)), 28.13/28.23 inference(subsumption_resolution,[],[f57674,f1584])). 28.13/28.23 fof(f57676,plain,( 28.13/28.23 $false | (~spl15_0 | ~spl15_144 | ~spl15_208 | ~spl15_867 | ~spl15_1955)), 28.13/28.23 inference(subsumption_resolution,[],[f57675,f10911])). 28.13/28.23 fof(f57677,plain,( 28.13/28.23 ~spl15_0 | ~spl15_144 | ~spl15_208 | spl15_867 | spl15_1955), 28.13/28.23 inference(avatar_contradiction_clause,[],[f57676])). 28.13/28.23 fof(f59660,plain,( 28.13/28.23 spl15_1993 <=> ~sequential(sK3,sK2)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1993])])). 28.13/28.23 fof(f59661,plain,( 28.13/28.23 ~sequential(sK3,sK2) | ~spl15_1993), 28.13/28.23 inference(avatar_component_clause,[],[f59660])). 28.13/28.23 fof(f59663,plain,( 28.13/28.23 spl15_1992 <=> sequential(sK3,sK2)), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1992])])). 28.13/28.23 fof(f59664,plain,( 28.13/28.23 sequential(sK3,sK2) | ~spl15_1992), 28.13/28.23 inference(avatar_component_clause,[],[f59663])). 28.13/28.23 fof(f59666,plain,( 28.13/28.23 spl15_1995 <=> sK2 != sK3), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_1995])])). 28.13/28.23 fof(f59667,plain,( 28.13/28.23 sK2 != sK3 | ~spl15_1995), 28.13/28.23 inference(avatar_component_clause,[],[f59666])). 28.13/28.23 fof(f59672,plain,( 28.13/28.23 sK2 != sK3 | precedes(sK3,sK2,sK4) | ~precedes(sK2,sK3,sK4)), 28.13/28.23 introduced(theory_axiom,[])). 28.13/28.23 fof(f59679,plain,( 28.13/28.23 ( ! [X10,X11,X9] : (~on_path(sK3,X9) | ~path(X10,X11,X9) | ~on_path(sK2,X9) | precedes(sK3,sK2,X9)) ) | ~spl15_1992), 28.13/28.23 inference(resolution,[],[f59664,f96])). 28.13/28.23 fof(f61955,plain,( 28.13/28.23 ( ! [X0,X1] : (~path(X0,X1,sK4) | ~on_path(sK2,sK4) | precedes(sK3,sK2,sK4)) ) | (~spl15_78 | ~spl15_1992)), 28.13/28.23 inference(resolution,[],[f59679,f690])). 28.13/28.23 fof(f61960,plain,( 28.13/28.23 ( ! [X0,X1] : (~path(X0,X1,sK4) | precedes(sK3,sK2,sK4)) ) | (~spl15_72 | ~spl15_78 | ~spl15_1992)), 28.13/28.23 inference(subsumption_resolution,[],[f61955,f669])). 28.13/28.23 fof(f61961,plain,( 28.13/28.23 ( ! [X0,X1] : (~path(X0,X1,sK4)) ) | (~spl15_9 | ~spl15_72 | ~spl15_78 | ~spl15_1992)), 28.13/28.23 inference(subsumption_resolution,[],[f61960,f184])). 28.13/28.23 fof(f61962,plain,( 28.13/28.23 $false | (~spl15_6 | ~spl15_9 | ~spl15_72 | ~spl15_78 | ~spl15_1992)), 28.13/28.23 inference(resolution,[],[f61961,f167])). 28.13/28.23 fof(f61963,plain,( 28.13/28.23 ~spl15_6 | spl15_9 | ~spl15_72 | ~spl15_78 | ~spl15_1992), 28.13/28.23 inference(avatar_contradiction_clause,[],[f61962])). 28.13/28.23 fof(f62516,plain,( 28.13/28.23 tail_of(sK2) != tail_of(sK2) | tail_of(sK5(head_of(sK3),tail_of(sK2))) != head_of(sK3) | ~edge(sK5(head_of(sK3),tail_of(sK2))) | ~spl15_1922), 28.13/28.23 inference(superposition,[],[f58,f56975])). 28.13/28.23 fof(f62544,plain,( 28.13/28.23 tail_of(sK5(head_of(sK3),tail_of(sK2))) != head_of(sK3) | ~edge(sK5(head_of(sK3),tail_of(sK2))) | ~spl15_1922), 28.13/28.23 inference(trivial_inequality_removal,[],[f62516])). 28.13/28.23 fof(f62559,plain,( 28.13/28.23 ~edge(sK5(head_of(sK3),tail_of(sK2))) | (~spl15_1918 | ~spl15_1922)), 28.13/28.23 inference(subsumption_resolution,[],[f62544,f56899])). 28.13/28.23 fof(f62575,plain,( 28.13/28.23 spl15_2042 <=> edge(sK5(head_of(sK3),tail_of(sK2)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_2042])])). 28.13/28.23 fof(f62576,plain,( 28.13/28.23 edge(sK5(head_of(sK3),tail_of(sK2))) | ~spl15_2042), 28.13/28.23 inference(avatar_component_clause,[],[f62575])). 28.13/28.23 fof(f62578,plain,( 28.13/28.23 spl15_2043 <=> ~edge(sK5(head_of(sK3),tail_of(sK2)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_2043])])). 28.13/28.23 fof(f62579,plain,( 28.13/28.23 ~edge(sK5(head_of(sK3),tail_of(sK2))) | ~spl15_2043), 28.13/28.23 inference(avatar_component_clause,[],[f62578])). 28.13/28.23 fof(f62580,plain,( 28.13/28.23 ~spl15_2043 | ~spl15_1918 | ~spl15_1922), 28.13/28.23 inference(avatar_split_clause,[],[f62559,f56974,f56898,f62578])). 28.13/28.23 fof(f62584,plain,( 28.13/28.23 ~vertex(tail_of(sK2)) | ~vertex(head_of(sK3)) | tail_of(sK2) = head_of(sK3) | (~spl15_0 | ~spl15_2043)), 28.13/28.23 inference(resolution,[],[f62579,f143])). 28.13/28.23 fof(f62591,plain,( 28.13/28.23 ~vertex(head_of(sK3)) | tail_of(sK2) = head_of(sK3) | (~spl15_0 | ~spl15_144 | ~spl15_2043)), 28.13/28.23 inference(subsumption_resolution,[],[f62584,f1584])). 28.13/28.23 fof(f62592,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK3) | (~spl15_0 | ~spl15_144 | ~spl15_208 | ~spl15_2043)), 28.13/28.23 inference(subsumption_resolution,[],[f62591,f2298])). 28.13/28.23 fof(f62593,plain,( 28.13/28.23 $false | (~spl15_0 | ~spl15_144 | ~spl15_208 | ~spl15_867 | ~spl15_2043)), 28.13/28.23 inference(subsumption_resolution,[],[f62592,f10911])). 28.13/28.23 fof(f62594,plain,( 28.13/28.23 ~spl15_0 | ~spl15_144 | ~spl15_208 | spl15_867 | spl15_2043), 28.13/28.23 inference(avatar_contradiction_clause,[],[f62593])). 28.13/28.23 fof(f62757,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK5(head_of(sK3),tail_of(sK2))) | tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK5(head_of(sK3),tail_of(sK2))))) | head_of(sK5(head_of(sK3),tail_of(sK2))) = head_of(sK5(tail_of(sK2),head_of(sK5(head_of(sK3),tail_of(sK2))))) | (~spl15_4 | ~spl15_476 | ~spl15_2042)), 28.13/28.23 inference(resolution,[],[f62576,f5132])). 28.13/28.23 fof(f62972,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK3) | tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK5(head_of(sK3),tail_of(sK2))))) | head_of(sK5(head_of(sK3),tail_of(sK2))) = head_of(sK5(tail_of(sK2),head_of(sK5(head_of(sK3),tail_of(sK2))))) | (~spl15_4 | ~spl15_476 | ~spl15_1920 | ~spl15_2042)), 28.13/28.23 inference(forward_demodulation,[],[f62757,f56905])). 28.13/28.23 fof(f62973,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK5(head_of(sK3),tail_of(sK2))))) | head_of(sK5(head_of(sK3),tail_of(sK2))) = head_of(sK5(tail_of(sK2),head_of(sK5(head_of(sK3),tail_of(sK2))))) | (~spl15_4 | ~spl15_476 | ~spl15_867 | ~spl15_1920 | ~spl15_2042)), 28.13/28.23 inference(subsumption_resolution,[],[f62972,f10911])). 28.13/28.23 fof(f62974,plain,( 28.13/28.23 tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK3))) | head_of(sK5(head_of(sK3),tail_of(sK2))) = head_of(sK5(tail_of(sK2),head_of(sK5(head_of(sK3),tail_of(sK2))))) | (~spl15_4 | ~spl15_476 | ~spl15_867 | ~spl15_1920 | ~spl15_2042)), 28.13/28.23 inference(forward_demodulation,[],[f62973,f56905])). 28.13/28.23 fof(f62975,plain,( 28.13/28.23 head_of(sK5(head_of(sK3),tail_of(sK2))) = head_of(sK5(tail_of(sK2),head_of(sK5(head_of(sK3),tail_of(sK2))))) | (~spl15_4 | ~spl15_476 | ~spl15_867 | ~spl15_1905 | ~spl15_1920 | ~spl15_2042)), 28.13/28.23 inference(subsumption_resolution,[],[f62974,f56710])). 28.13/28.23 fof(f62976,plain,( 28.13/28.23 head_of(sK3) = head_of(sK5(tail_of(sK2),head_of(sK3))) | (~spl15_4 | ~spl15_476 | ~spl15_867 | ~spl15_1905 | ~spl15_1920 | ~spl15_2042)), 28.13/28.23 inference(forward_demodulation,[],[f62975,f56905])). 28.13/28.23 fof(f63596,plain,( 28.13/28.23 spl15_2064 <=> head_of(sK3) = head_of(sK5(tail_of(sK2),head_of(sK3)))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_2064])])). 28.13/28.23 fof(f63597,plain,( 28.13/28.23 head_of(sK3) = head_of(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_2064), 28.13/28.23 inference(avatar_component_clause,[],[f63596])). 28.13/28.23 fof(f63598,plain,( 28.13/28.23 spl15_2064 | ~spl15_4 | ~spl15_476 | spl15_867 | spl15_1905 | ~spl15_1920 | ~spl15_2042), 28.13/28.23 inference(avatar_split_clause,[],[f62976,f62575,f56904,f56709,f10910,f5128,f155,f63596])). 28.13/28.23 fof(f63612,plain,( 28.13/28.23 ( ! [X6,X5] : (head_of(sK3) != head_of(X5) | ~precedes(X6,X5,sK4) | tail_of(X6) != tail_of(sK5(tail_of(sK2),head_of(sK3)))) ) | (~spl15_2 | ~spl15_2064)), 28.13/28.23 inference(superposition,[],[f158,f63597])). 28.13/28.23 fof(f63657,plain,( 28.13/28.23 ( ! [X6,X5] : (~precedes(X6,X5,sK4) | head_of(sK3) != head_of(X5) | tail_of(sK2) != tail_of(X6)) ) | (~spl15_2 | ~spl15_1906 | ~spl15_2064)), 28.13/28.23 inference(forward_demodulation,[],[f63612,f56719])). 28.13/28.23 fof(f88028,plain,( 28.13/28.23 head_of(sK3) != head_of(sK3) | tail_of(sK2) != tail_of(sK2) | (~spl15_2 | ~spl15_4 | ~spl15_1906 | ~spl15_2064)), 28.13/28.23 inference(resolution,[],[f63657,f156])). 28.13/28.23 fof(f88031,plain,( 28.13/28.23 $false | (~spl15_2 | ~spl15_4 | ~spl15_1906 | ~spl15_2064)), 28.13/28.23 inference(trivial_inequality_removal,[],[f88028])). 28.13/28.23 fof(f88032,plain,( 28.13/28.23 ~spl15_2 | ~spl15_4 | ~spl15_1906 | ~spl15_2064), 28.13/28.23 inference(avatar_contradiction_clause,[],[f88031])). 28.13/28.23 fof(f88432,plain,( 28.13/28.23 ( ! [X2,X0,X1] : (~on_path(sK3,X0) | ~path(X1,X2,X0)) ) | ~spl15_101), 28.13/28.23 inference(resolution,[],[f1000,f118])). 28.13/28.23 fof(f92331,plain,( 28.13/28.23 ( ! [X0,X1] : (~path(X0,X1,sK4)) ) | (~spl15_78 | ~spl15_101)), 28.13/28.23 inference(resolution,[],[f88432,f690])). 28.13/28.23 fof(f92623,plain,( 28.13/28.23 $false | (~spl15_6 | ~spl15_78 | ~spl15_101)), 28.13/28.23 inference(resolution,[],[f92331,f167])). 28.13/28.23 fof(f92624,plain,( 28.13/28.23 ~spl15_6 | ~spl15_78 | spl15_101), 28.13/28.23 inference(avatar_contradiction_clause,[],[f92623])). 28.13/28.23 fof(f95700,plain,( 28.13/28.23 spl15_2474 <=> path(tail_of(sK2),head_of(sK2),path_cons(sK2,empty))), 28.13/28.23 introduced(avatar_definition,[new_symbols(naming,[spl15_2474])])). 28.13/28.23 fof(f95701,plain,( 28.13/28.23 path(tail_of(sK2),head_of(sK2),path_cons(sK2,empty)) | ~spl15_2474), 28.13/28.23 inference(avatar_component_clause,[],[f95700])). 28.13/28.23 fof(f95702,plain,( 28.13/28.23 spl15_2474 | ~spl15_34 | ~spl15_58 | ~spl15_72), 28.13/28.23 inference(avatar_split_clause,[],[f735,f668,f446,f317,f95700])). 28.13/28.23 fof(f99325,plain,( 28.13/28.23 tail_of(sK2) != tail_of(sK5(tail_of(sK2),head_of(sK3))) | ~edge(sK5(tail_of(sK2),head_of(sK3))) | ~spl15_1904), 28.13/28.23 inference(superposition,[],[f69,f56713])). 28.13/28.23 fof(f99375,plain,( 28.13/28.23 ~edge(sK5(tail_of(sK2),head_of(sK3))) | (~spl15_1904 | ~spl15_1906)), 28.13/28.23 inference(subsumption_resolution,[],[f99325,f56719])). 28.13/28.23 fof(f99376,plain,( 28.13/28.23 $false | (~spl15_1904 | ~spl15_1906 | ~spl15_1954)), 28.13/28.23 inference(subsumption_resolution,[],[f99375,f57662])). 28.13/28.23 fof(f99377,plain,( 28.13/28.23 ~spl15_1904 | ~spl15_1906 | ~spl15_1954), 28.13/28.23 inference(avatar_contradiction_clause,[],[f99376])). 28.13/28.23 fof(f99437,plain,( 28.13/28.23 ( ! [X8,X9] : (tail_of(sK2) != tail_of(sK2) | tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK3))) | tail_of(sK2) = head_of(sK3) | ~path(tail_of(sK2),X8,X9)) ) | (~spl15_4 | ~spl15_304 | ~spl15_1907)), 28.13/28.23 inference(superposition,[],[f56716,f9441])). 28.13/28.23 fof(f99440,plain,( 28.13/28.23 ( ! [X8,X9] : (tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK3))) | tail_of(sK2) = head_of(sK3) | ~path(tail_of(sK2),X8,X9)) ) | (~spl15_4 | ~spl15_304 | ~spl15_1907)), 28.13/28.23 inference(trivial_inequality_removal,[],[f99437])). 28.13/28.23 fof(f99441,plain,( 28.13/28.23 ( ! [X8,X9] : (tail_of(sK2) = head_of(sK3) | ~path(tail_of(sK2),X8,X9)) ) | (~spl15_4 | ~spl15_304 | ~spl15_1905 | ~spl15_1907)), 28.13/28.23 inference(subsumption_resolution,[],[f99440,f56710])). 28.13/28.23 fof(f99442,plain,( 28.13/28.23 ( ! [X8,X9] : (~path(tail_of(sK2),X8,X9)) ) | (~spl15_4 | ~spl15_304 | ~spl15_867 | ~spl15_1905 | ~spl15_1907)), 28.13/28.23 inference(subsumption_resolution,[],[f99441,f10911])). 28.13/28.23 fof(f99451,plain,( 28.13/28.23 ( ! [X4,X5] : (head_of(sK3) != head_of(sK3) | tail_of(sK2) = tail_of(sK5(tail_of(sK2),head_of(sK3))) | tail_of(sK2) = head_of(sK3) | ~path(tail_of(sK2),X4,X5)) ) | (~spl15_4 | ~spl15_350 | ~spl15_1913)), 28.13/28.23 inference(superposition,[],[f56805,f10082])). 28.13/28.23 fof(f99456,plain,( 28.13/28.23 ( ! [X4,X5] : (tail_of(sK2) = tail_of(sK5(tail_of(sK2),head_of(sK3))) | tail_of(sK2) = head_of(sK3) | ~path(tail_of(sK2),X4,X5)) ) | (~spl15_4 | ~spl15_350 | ~spl15_1913)), 28.13/28.23 inference(trivial_inequality_removal,[],[f99451])). 28.13/28.23 fof(f99461,plain,( 28.13/28.23 ( ! [X4,X5] : (tail_of(sK2) = head_of(sK3) | ~path(tail_of(sK2),X4,X5)) ) | (~spl15_4 | ~spl15_350 | ~spl15_1907 | ~spl15_1913)), 28.13/28.23 inference(subsumption_resolution,[],[f99456,f56716])). 28.13/28.23 fof(f99462,plain,( 28.13/28.23 ( ! [X4,X5] : (~path(tail_of(sK2),X4,X5)) ) | (~spl15_4 | ~spl15_350 | ~spl15_867 | ~spl15_1907 | ~spl15_1913)), 28.13/28.23 inference(subsumption_resolution,[],[f99461,f10911])). 28.13/28.23 fof(f100120,plain,( 28.13/28.23 $false | (~spl15_4 | ~spl15_304 | ~spl15_867 | ~spl15_1905 | ~spl15_1907 | ~spl15_2474)), 28.13/28.23 inference(resolution,[],[f99442,f95701])). 28.13/28.23 fof(f100159,plain,( 28.13/28.23 ~spl15_4 | ~spl15_304 | spl15_867 | spl15_1905 | spl15_1907 | ~spl15_2474), 28.13/28.23 inference(avatar_contradiction_clause,[],[f100120])). 28.13/28.23 fof(f100741,plain,( 28.13/28.23 $false | (~spl15_4 | ~spl15_350 | ~spl15_867 | ~spl15_1907 | ~spl15_1913 | ~spl15_2474)), 28.13/28.23 inference(resolution,[],[f99462,f95701])). 28.13/28.23 fof(f100780,plain,( 28.13/28.23 ~spl15_4 | ~spl15_350 | spl15_867 | spl15_1907 | spl15_1913 | ~spl15_2474), 28.13/28.23 inference(avatar_contradiction_clause,[],[f100741])). 28.13/28.23 fof(f101710,plain,( 28.13/28.23 ( ! [X76] : (tail_of(sK2) != tail_of(X76) | ~edge(sK3) | sK3 = X76 | ~edge(X76) | sequential(sK3,X76)) ) | ~spl15_866), 28.13/28.23 inference(superposition,[],[f77,f10908])). 28.13/28.23 fof(f101763,plain,( 28.13/28.23 ( ! [X76] : (~edge(X76) | sK3 = X76 | tail_of(sK2) != tail_of(X76) | sequential(sK3,X76)) ) | (~spl15_100 | ~spl15_866)), 28.13/28.23 inference(subsumption_resolution,[],[f101710,f997])). 28.13/28.23 fof(f113395,plain,( 28.13/28.23 sK2 = sK3 | tail_of(sK2) != tail_of(sK2) | sequential(sK3,sK2) | (~spl15_58 | ~spl15_100 | ~spl15_866)), 28.13/28.23 inference(resolution,[],[f101763,f447])). 28.13/28.23 fof(f113430,plain,( 28.13/28.23 sK2 = sK3 | sequential(sK3,sK2) | (~spl15_58 | ~spl15_100 | ~spl15_866)), 28.13/28.23 inference(trivial_inequality_removal,[],[f113395])). 28.13/28.23 fof(f113431,plain,( 28.13/28.23 sequential(sK3,sK2) | (~spl15_58 | ~spl15_100 | ~spl15_866 | ~spl15_1995)), 28.13/28.23 inference(subsumption_resolution,[],[f113430,f59667])). 28.13/28.23 fof(f113432,plain,( 28.13/28.23 $false | (~spl15_58 | ~spl15_100 | ~spl15_866 | ~spl15_1993 | ~spl15_1995)), 28.13/28.23 inference(subsumption_resolution,[],[f113431,f59661])). 28.13/28.23 fof(f113433,plain,( 28.13/28.23 ~spl15_58 | ~spl15_100 | ~spl15_866 | spl15_1993 | spl15_1995), 28.13/28.23 inference(avatar_contradiction_clause,[],[f113432])). 28.13/28.23 fof(f113476,plain,( 28.13/28.23 $false), 28.13/28.23 inference(avatar_sat_refutation,[],[f139,f150,f157,f168,f185,f272,f319,f329,f362,f462,f471,f716,f718,f775,f790,f1601,f2324,f3905,f4220,f4869,f5130,f5223,f56906,f56982,f57021,f57666,f57677,f59672,f61963,f62580,f62594,f63598,f88032,f92624,f95702,f99377,f100159,f100780,f113433])). 28.13/28.23 % SZS output end Proof for theBenchmark 28.13/28.23 % ------------------------------ 28.13/28.23 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 28.13/28.23 % Termination reason: Refutation 28.13/28.23 28.13/28.23 % Memory used [KB]: 64988 28.13/28.23 % Time elapsed: 7.925 s 28.13/28.23 % ------------------------------ 28.13/28.23 % ------------------------------ 28.13/28.23 % Success in time 27.992 s 28.20/28.24 EOF