0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.23 % Computer : n155.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:48:09 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.27 % dis-11_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark 0.52/0.76 % Time limit reached! 0.52/0.76 % ------------------------------ 0.52/0.76 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.52/0.76 % Termination reason: Time limit 0.52/0.76 % Termination phase: Saturation 0.52/0.76 0.52/0.76 % Memory used [KB]: 17526 0.52/0.76 % Time elapsed: 0.500 s 0.52/0.76 % ------------------------------ 0.52/0.76 % ------------------------------ 0.59/0.80 % lrs+10_12_add=off:afp=100000:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_2 on theBenchmark 1.11/1.30 % Time limit reached! 1.11/1.30 % ------------------------------ 1.11/1.30 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.11/1.30 % Termination reason: Time limit 1.11/1.30 % Termination phase: Saturation 1.11/1.30 1.11/1.30 % Memory used [KB]: 20084 1.11/1.30 % Time elapsed: 0.500 s 1.11/1.30 % ------------------------------ 1.11/1.30 % ------------------------------ 1.11/1.33 % 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 1.62/1.83 % Time limit reached! 1.62/1.83 % ------------------------------ 1.62/1.83 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.62/1.83 % Termination reason: Time limit 1.62/1.83 % Termination phase: Saturation 1.62/1.83 1.62/1.83 % Memory used [KB]: 13304 1.62/1.83 % Time elapsed: 0.500 s 1.62/1.83 % ------------------------------ 1.62/1.83 % ------------------------------ 1.62/1.87 % lrs+1_1_aac=none:acc=model:add=large:afp=100000:afq=1.2:anc=none:bd=off:bs=on:bsr=on:ccuc=first:cond=on:fde=unused:irw=on:nm=2:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:uhcvi=on_2 on theBenchmark 1.65/1.91 % Refutation found. Thanks to Tanya! 1.65/1.91 % SZS status Theorem for theBenchmark 1.65/1.91 % SZS output start Proof for theBenchmark 1.65/1.91 fof(f2,axiom,( 1.65/1.91 ! [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)))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',precedes_defn)). 1.65/1.91 fof(f4,axiom,( 1.65/1.91 ! [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)))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_properties)). 1.65/1.91 fof(f5,axiom,( 1.65/1.91 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))))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',complete_properties)). 1.65/1.91 fof(f6,axiom,( 1.65/1.91 ! [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))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_defn)). 1.65/1.91 fof(f10,axiom,( 1.65/1.91 ! [X4] : (edge(X4) => (vertex(tail_of(X4)) & vertex(head_of(X4))))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',edge_ends_are_vertices)). 1.65/1.91 fof(f11,axiom,( 1.65/1.91 ! [X4] : (edge(X4) => tail_of(X4) != head_of(X4))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_loops)). 1.65/1.91 fof(f12,axiom,( 1.65/1.91 ! [X5,X6] : (sequential(X5,X6) <=> (edge(X6) & X5 != X6 & tail_of(X6) = head_of(X5) & edge(X5)))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_defn)). 1.65/1.91 fof(f13,conjecture,( 1.65/1.91 complete => ! [X2,X0,X1] : (shortest_path(X0,X1,X2) => number_of_in(triangles,X2) = number_of_in(sequential_pairs,X2))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangles_and_sequential_pairs)). 1.65/1.91 fof(f14,negated_conjecture,( 1.65/1.91 ~(complete => ! [X2,X0,X1] : (shortest_path(X0,X1,X2) => number_of_in(triangles,X2) = number_of_in(sequential_pairs,X2)))), 1.65/1.91 inference(negated_conjecture,[],[f13])). 1.65/1.91 fof(f18,axiom,( 1.65/1.91 ! [X5,X6,X7] : (triangle(X5,X6,X7) <=> (edge(X6) & edge(X7) & sequential(X7,X5) & sequential(X6,X7) & sequential(X5,X6) & edge(X5)))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle_defn)). 1.65/1.91 fof(f19,axiom,( 1.65/1.91 ! [X2,X0,X1] : ((path(X0,X1,X2) & ! [X5,X6] : ((on_path(X5,X2) & sequential(X5,X6) & on_path(X6,X2)) => ? [X7] : triangle(X5,X6,X7))) => number_of_in(triangles,X2) = number_of_in(sequential_pairs,X2))), 1.65/1.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_pairs_and_triangles)). 1.65/1.91 fof(f20,plain,( 1.65/1.91 ~(complete => ! [X0,X1,X2] : (shortest_path(X1,X2,X0) => number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0)))), 1.65/1.91 inference(rectify,[],[f14])). 1.65/1.91 fof(f21,plain,( 1.65/1.91 ! [X0] : (edge(X0) => tail_of(X0) != head_of(X0))), 1.65/1.91 inference(rectify,[],[f11])). 1.65/1.91 fof(f22,plain,( 1.65/1.91 ! [X0,X1,X2] : ((path(X1,X2,X0) & ! [X3,X4] : ((on_path(X3,X0) & sequential(X3,X4) & on_path(X4,X0)) => ? [X5] : triangle(X3,X4,X5))) => number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0))), 1.65/1.91 inference(rectify,[],[f19])). 1.65/1.91 fof(f23,plain,( 1.65/1.91 ! [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)))), 1.65/1.91 inference(rectify,[],[f4])). 1.65/1.91 fof(f24,plain,( 1.65/1.91 ! [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))), 1.65/1.91 inference(rectify,[],[f6])). 1.65/1.91 fof(f25,plain,( 1.65/1.91 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))))), 1.65/1.91 inference(rectify,[],[f5])). 1.65/1.91 fof(f26,plain,( 1.65/1.91 ! [X0,X1] : (sequential(X0,X1) <=> (edge(X1) & X0 != X1 & tail_of(X1) = head_of(X0) & edge(X0)))), 1.65/1.91 inference(rectify,[],[f12])). 1.65/1.91 fof(f27,plain,( 1.65/1.91 ! [X0] : (edge(X0) => (vertex(tail_of(X0)) & vertex(head_of(X0))))), 1.65/1.91 inference(rectify,[],[f10])). 1.65/1.91 fof(f28,plain,( 1.65/1.91 ! [X0,X1,X2] : (triangle(X0,X1,X2) <=> (edge(X1) & edge(X2) & sequential(X2,X0) & sequential(X1,X2) & sequential(X0,X1) & edge(X0)))), 1.65/1.91 inference(rectify,[],[f18])). 1.65/1.91 fof(f29,plain,( 1.65/1.91 ! [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)))), 1.65/1.91 inference(rectify,[],[f2])). 1.65/1.91 fof(f32,plain,( 1.65/1.91 ! [X0,X1,X2] : ((edge(X1) & edge(X2) & sequential(X2,X0) & sequential(X1,X2) & sequential(X0,X1) & edge(X0)) => triangle(X0,X1,X2))), 1.65/1.91 inference(unused_predicate_definition_removal,[],[f28])). 1.65/1.91 fof(f33,plain,( 1.65/1.91 ? [X0,X1,X2] : (number_of_in(triangles,X0) != number_of_in(sequential_pairs,X0) & shortest_path(X1,X2,X0)) & complete), 1.65/1.91 inference(ennf_transformation,[],[f20])). 1.65/1.91 fof(f34,plain,( 1.65/1.91 ! [X0] : (tail_of(X0) != head_of(X0) | ~edge(X0))), 1.65/1.91 inference(ennf_transformation,[],[f21])). 1.65/1.91 fof(f35,plain,( 1.65/1.91 ! [X0,X1,X2] : (number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) | (~path(X1,X2,X0) | ? [X3,X4] : (! [X5] : ~triangle(X3,X4,X5) & (on_path(X3,X0) & sequential(X3,X4) & on_path(X4,X0)))))), 1.65/1.91 inference(ennf_transformation,[],[f22])). 1.65/1.91 fof(f36,plain,( 1.65/1.91 ! [X0,X1,X2] : (number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) | ~path(X1,X2,X0) | ? [X3,X4] : (! [X5] : ~triangle(X3,X4,X5) & on_path(X3,X0) & sequential(X3,X4) & on_path(X4,X0)))), 1.65/1.91 inference(flattening,[],[f35])). 1.65/1.91 fof(f37,plain,( 1.65/1.91 ! [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)))), 1.65/1.91 inference(ennf_transformation,[],[f23])). 1.65/1.91 fof(f38,plain,( 1.65/1.91 ! [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))), 1.65/1.91 inference(flattening,[],[f37])). 1.65/1.91 fof(f39,plain,( 1.65/1.91 ! [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))), 1.65/1.91 inference(ennf_transformation,[],[f24])). 1.65/1.91 fof(f40,plain,( 1.65/1.91 ! [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), 1.65/1.91 inference(ennf_transformation,[],[f25])). 1.65/1.91 fof(f41,plain,( 1.65/1.91 ! [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), 1.65/1.91 inference(flattening,[],[f40])). 1.65/1.91 fof(f42,plain,( 1.65/1.91 ! [X0] : ((vertex(tail_of(X0)) & vertex(head_of(X0))) | ~edge(X0))), 1.65/1.91 inference(ennf_transformation,[],[f27])). 1.65/1.91 fof(f43,plain,( 1.65/1.91 ! [X0,X1,X2] : (triangle(X0,X1,X2) | (~edge(X1) | ~edge(X2) | ~sequential(X2,X0) | ~sequential(X1,X2) | ~sequential(X0,X1) | ~edge(X0)))), 1.65/1.91 inference(ennf_transformation,[],[f32])). 1.65/1.91 fof(f44,plain,( 1.65/1.91 ! [X0,X1,X2] : (triangle(X0,X1,X2) | ~edge(X1) | ~edge(X2) | ~sequential(X2,X0) | ~sequential(X1,X2) | ~sequential(X0,X1) | ~edge(X0))), 1.65/1.91 inference(flattening,[],[f43])). 1.65/1.91 fof(f45,plain,( 1.65/1.91 ! [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))), 1.65/1.91 inference(ennf_transformation,[],[f29])). 1.65/1.91 fof(f46,plain,( 1.65/1.91 ! [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))), 1.65/1.91 inference(flattening,[],[f45])). 1.65/1.91 fof(f48,plain,( 1.65/1.91 shortest_path(sK1,sK2,sK0)), 1.65/1.91 inference(cnf_transformation,[],[f33])). 1.65/1.91 fof(f49,plain,( 1.65/1.91 number_of_in(triangles,sK0) != number_of_in(sequential_pairs,sK0)), 1.65/1.91 inference(cnf_transformation,[],[f33])). 1.65/1.91 fof(f50,plain,( 1.65/1.91 complete), 1.65/1.91 inference(cnf_transformation,[],[f33])). 1.65/1.91 fof(f51,plain,( 1.65/1.91 ( ! [X0] : (~edge(X0) | tail_of(X0) != head_of(X0)) )), 1.65/1.91 inference(cnf_transformation,[],[f34])). 1.65/1.91 fof(f52,plain,( 1.65/1.91 ( ! [X2,X0,X1] : (~path(X1,X2,X0) | on_path(sK4(X0),X0) | number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0)) )), 1.65/1.91 inference(cnf_transformation,[],[f36])). 1.65/1.91 fof(f53,plain,( 1.65/1.91 ( ! [X2,X0,X1] : (~path(X1,X2,X0) | sequential(sK3(X0),sK4(X0)) | number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0)) )), 1.65/1.91 inference(cnf_transformation,[],[f36])). 1.65/1.91 fof(f54,plain,( 1.65/1.91 ( ! [X2,X0,X1] : (~path(X1,X2,X0) | on_path(sK3(X0),X0) | number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0)) )), 1.65/1.91 inference(cnf_transformation,[],[f36])). 1.65/1.91 fof(f55,plain,( 1.65/1.91 ( ! [X2,X0,X5,X1] : (~triangle(sK3(X0),sK4(X0),X5) | ~path(X1,X2,X0) | number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0)) )), 1.65/1.91 inference(cnf_transformation,[],[f36])). 1.65/1.91 fof(f56,plain,( 1.65/1.91 ( ! [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)) )), 1.65/1.91 inference(cnf_transformation,[],[f38])). 1.65/1.91 fof(f57,plain,( 1.65/1.91 ( ! [X4,X2,X0,X3,X1] : (~shortest_path(X0,X1,X4) | ~precedes(X2,X3,X4) | ~precedes(X3,X2,X4)) )), 1.65/1.91 inference(cnf_transformation,[],[f38])). 1.65/1.91 fof(f61,plain,( 1.65/1.91 ( ! [X2,X0,X1] : (~shortest_path(X0,X1,X2) | path(X0,X1,X2)) )), 1.65/1.91 inference(cnf_transformation,[],[f39])). 1.65/1.91 fof(f63,plain,( 1.65/1.91 ( ! [X2,X0,X1] : (head_of(X2) != X1 | tail_of(X2) != X0 | sP7(X2,X1,X0)) )), 1.65/1.91 inference(cnf_transformation,[],[f41])). 1.65/1.91 fof(f64,plain,( 1.65/1.91 ( ! [X2,X0,X1] : (~sP7(X2,X1,X0) | head_of(X2) = X1) )), 1.65/1.91 inference(cnf_transformation,[],[f41])). 1.65/1.91 fof(f65,plain,( 1.65/1.91 ( ! [X2,X0,X1] : (~sP7(X2,X1,X0) | tail_of(X2) = X0) )), 1.65/1.91 inference(cnf_transformation,[],[f41])). 1.65/1.91 fof(f67,plain,( 1.65/1.91 ( ! [X0,X1] : (~vertex(X1) | X0 = X1 | ~complete | ~vertex(X0) | sP7(sK6(X0,X1),X1,X0) | head_of(sK6(X0,X1)) = X0) )), 1.65/1.91 inference(cnf_transformation,[],[f41])). 1.65/1.91 fof(f68,plain,( 1.65/1.91 ( ! [X0,X1] : (~vertex(X1) | X0 = X1 | ~complete | ~vertex(X0) | sP7(sK6(X0,X1),X1,X0) | tail_of(sK6(X0,X1)) = X1) )), 1.65/1.91 inference(cnf_transformation,[],[f41])). 1.65/1.91 fof(f69,plain,( 1.65/1.91 ( ! [X0,X1] : (~vertex(X1) | X0 = X1 | ~complete | ~vertex(X0) | edge(sK6(X0,X1))) )), 1.65/1.91 inference(cnf_transformation,[],[f41])). 1.65/1.91 fof(f70,plain,( 1.65/1.91 ( ! [X0,X1] : (~sequential(X0,X1) | edge(X0)) )), 1.65/1.91 inference(cnf_transformation,[],[f26])). 1.65/1.91 fof(f71,plain,( 1.65/1.91 ( ! [X0,X1] : (~sequential(X0,X1) | tail_of(X1) = head_of(X0)) )), 1.65/1.91 inference(cnf_transformation,[],[f26])). 1.65/1.91 fof(f73,plain,( 1.65/1.91 ( ! [X0,X1] : (~sequential(X0,X1) | edge(X1)) )), 1.65/1.91 inference(cnf_transformation,[],[f26])). 1.65/1.91 fof(f74,plain,( 1.65/1.91 ( ! [X0,X1] : (~edge(X0) | tail_of(X1) != head_of(X0) | X0 = X1 | ~edge(X1) | sequential(X0,X1)) )), 1.65/1.91 inference(cnf_transformation,[],[f26])). 1.65/1.91 fof(f75,plain,( 1.65/1.91 ( ! [X0] : (~edge(X0) | vertex(head_of(X0))) )), 1.65/1.91 inference(cnf_transformation,[],[f42])). 1.65/1.91 fof(f76,plain,( 1.65/1.91 ( ! [X0] : (~edge(X0) | vertex(tail_of(X0))) )), 1.65/1.91 inference(cnf_transformation,[],[f42])). 1.65/1.91 fof(f77,plain,( 1.65/1.91 ( ! [X2,X0,X1] : (~sequential(X0,X1) | ~edge(X0) | ~sequential(X1,X2) | ~sequential(X2,X0) | ~edge(X2) | ~edge(X1) | triangle(X0,X1,X2)) )), 1.65/1.91 inference(cnf_transformation,[],[f44])). 1.65/1.91 fof(f79,plain,( 1.65/1.91 ( ! [X4,X2,X0,X3,X1] : (~path(X1,X2,X0) | ~on_path(X4,X0) | ~sequential(X3,X4) | ~on_path(X3,X0) | precedes(X3,X4,X0)) )), 1.65/1.91 inference(cnf_transformation,[],[f46])). 1.65/1.91 fof(f87,plain,( 1.65/1.91 ( ! [X2,X0] : (tail_of(X2) != X0 | sP7(X2,head_of(X2),X0)) )), 1.65/1.91 inference(equality_resolution,[],[f63])). 1.65/1.91 fof(f88,plain,( 1.65/1.91 ( ! [X2] : (sP7(X2,head_of(X2),tail_of(X2))) )), 1.65/1.91 inference(equality_resolution,[],[f87])). 1.65/1.91 fof(f91,plain,( 1.65/1.91 ( ! [X0,X1] : (~vertex(X1) | X0 = X1 | ~vertex(X0) | sP7(sK6(X0,X1),X1,X0) | head_of(sK6(X0,X1)) = X0) )), 1.65/1.91 inference(subsumption_resolution,[],[f67,f50])). 1.65/1.91 fof(f92,plain,( 1.65/1.91 ( ! [X0,X1] : (~vertex(X1) | X0 = X1 | ~vertex(X0) | sP7(sK6(X0,X1),X1,X0) | tail_of(sK6(X0,X1)) = X1) )), 1.65/1.91 inference(subsumption_resolution,[],[f68,f50])). 1.65/1.91 fof(f93,plain,( 1.65/1.91 ( ! [X0,X1] : (~vertex(X1) | X0 = X1 | ~vertex(X0) | edge(sK6(X0,X1))) )), 1.65/1.91 inference(subsumption_resolution,[],[f69,f50])). 1.65/1.91 fof(f99,plain,( 1.65/1.91 spl9_2 <=> shortest_path(sK1,sK2,sK0)), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_2])])). 1.65/1.91 fof(f100,plain,( 1.65/1.91 shortest_path(sK1,sK2,sK0) | ~spl9_2), 1.65/1.91 inference(avatar_component_clause,[],[f99])). 1.65/1.91 fof(f101,plain,( 1.65/1.91 spl9_2), 1.65/1.91 inference(avatar_split_clause,[],[f48,f99])). 1.65/1.91 fof(f103,plain,( 1.65/1.91 path(sK1,sK2,sK0) | ~spl9_2), 1.65/1.91 inference(resolution,[],[f100,f61])). 1.65/1.91 fof(f104,plain,( 1.65/1.91 ( ! [X2,X3,X1] : (~precedes(X1,X2,sK0) | head_of(X2) != head_of(X3) | tail_of(X1) != tail_of(X3)) ) | ~spl9_2), 1.65/1.91 inference(resolution,[],[f100,f56])). 1.65/1.91 fof(f105,plain,( 1.65/1.91 ( ! [X4,X5] : (~precedes(X4,X5,sK0) | ~precedes(X5,X4,sK0)) ) | ~spl9_2), 1.65/1.91 inference(resolution,[],[f100,f57])). 1.65/1.91 fof(f107,plain,( 1.65/1.91 spl9_4 <=> path(sK1,sK2,sK0)), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_4])])). 1.65/1.91 fof(f108,plain,( 1.65/1.91 path(sK1,sK2,sK0) | ~spl9_4), 1.65/1.91 inference(avatar_component_clause,[],[f107])). 1.65/1.91 fof(f109,plain,( 1.65/1.91 spl9_4 | ~spl9_2), 1.65/1.91 inference(avatar_split_clause,[],[f103,f99,f107])). 1.65/1.91 fof(f111,plain,( 1.65/1.91 spl9_7 <=> number_of_in(triangles,sK0) != number_of_in(sequential_pairs,sK0)), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_7])])). 1.65/1.91 fof(f112,plain,( 1.65/1.91 number_of_in(triangles,sK0) != number_of_in(sequential_pairs,sK0) | ~spl9_7), 1.65/1.91 inference(avatar_component_clause,[],[f111])). 1.65/1.91 fof(f113,plain,( 1.65/1.91 ~spl9_7), 1.65/1.91 inference(avatar_split_clause,[],[f49,f111])). 1.65/1.91 fof(f114,plain,( 1.65/1.91 on_path(sK4(sK0),sK0) | number_of_in(triangles,sK0) = number_of_in(sequential_pairs,sK0) | ~spl9_4), 1.65/1.91 inference(resolution,[],[f108,f52])). 1.65/1.91 fof(f115,plain,( 1.65/1.91 sequential(sK3(sK0),sK4(sK0)) | number_of_in(triangles,sK0) = number_of_in(sequential_pairs,sK0) | ~spl9_4), 1.65/1.91 inference(resolution,[],[f108,f53])). 1.65/1.91 fof(f116,plain,( 1.65/1.91 on_path(sK3(sK0),sK0) | number_of_in(triangles,sK0) = number_of_in(sequential_pairs,sK0) | ~spl9_4), 1.65/1.91 inference(resolution,[],[f108,f54])). 1.65/1.91 fof(f119,plain,( 1.65/1.91 ( ! [X4,X3] : (~sequential(X4,X3) | ~on_path(X3,sK0) | ~on_path(X4,sK0) | precedes(X4,X3,sK0)) ) | ~spl9_4), 1.65/1.91 inference(resolution,[],[f108,f79])). 1.65/1.91 fof(f125,plain,( 1.65/1.91 on_path(sK4(sK0),sK0) | (~spl9_4 | ~spl9_7)), 1.65/1.91 inference(subsumption_resolution,[],[f114,f112])). 1.65/1.91 fof(f126,plain,( 1.65/1.91 sequential(sK3(sK0),sK4(sK0)) | (~spl9_4 | ~spl9_7)), 1.65/1.91 inference(subsumption_resolution,[],[f115,f112])). 1.65/1.91 fof(f127,plain,( 1.65/1.91 on_path(sK3(sK0),sK0) | (~spl9_4 | ~spl9_7)), 1.65/1.91 inference(subsumption_resolution,[],[f116,f112])). 1.65/1.91 fof(f129,plain,( 1.65/1.91 spl9_8 <=> on_path(sK4(sK0),sK0)), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_8])])). 1.65/1.91 fof(f130,plain,( 1.65/1.91 on_path(sK4(sK0),sK0) | ~spl9_8), 1.65/1.91 inference(avatar_component_clause,[],[f129])). 1.65/1.91 fof(f131,plain,( 1.65/1.91 spl9_8 | ~spl9_4 | spl9_7), 1.65/1.91 inference(avatar_split_clause,[],[f125,f111,f107,f129])). 1.65/1.91 fof(f133,plain,( 1.65/1.91 spl9_10 <=> on_path(sK3(sK0),sK0)), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_10])])). 1.65/1.91 fof(f134,plain,( 1.65/1.91 on_path(sK3(sK0),sK0) | ~spl9_10), 1.65/1.91 inference(avatar_component_clause,[],[f133])). 1.65/1.91 fof(f135,plain,( 1.65/1.91 spl9_10 | ~spl9_4 | spl9_7), 1.65/1.91 inference(avatar_split_clause,[],[f127,f111,f107,f133])). 1.65/1.91 fof(f137,plain,( 1.65/1.91 spl9_12 <=> sequential(sK3(sK0),sK4(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_12])])). 1.65/1.91 fof(f138,plain,( 1.65/1.91 sequential(sK3(sK0),sK4(sK0)) | ~spl9_12), 1.65/1.91 inference(avatar_component_clause,[],[f137])). 1.65/1.91 fof(f139,plain,( 1.65/1.91 spl9_12 | ~spl9_4 | spl9_7), 1.65/1.91 inference(avatar_split_clause,[],[f126,f111,f107,f137])). 1.65/1.91 fof(f140,plain,( 1.65/1.91 ( ! [X0] : (~edge(sK3(sK0)) | ~sequential(sK4(sK0),X0) | ~sequential(X0,sK3(sK0)) | ~edge(X0) | ~edge(sK4(sK0)) | triangle(sK3(sK0),sK4(sK0),X0)) ) | ~spl9_12), 1.65/1.91 inference(resolution,[],[f138,f77])). 1.65/1.91 fof(f141,plain,( 1.65/1.91 edge(sK3(sK0)) | ~spl9_12), 1.65/1.91 inference(resolution,[],[f138,f70])). 1.65/1.91 fof(f142,plain,( 1.65/1.91 tail_of(sK4(sK0)) = head_of(sK3(sK0)) | ~spl9_12), 1.65/1.91 inference(resolution,[],[f138,f71])). 1.65/1.91 fof(f143,plain,( 1.65/1.91 edge(sK4(sK0)) | ~spl9_12), 1.65/1.91 inference(resolution,[],[f138,f73])). 1.65/1.91 fof(f144,plain,( 1.65/1.91 ( ! [X0] : (~sequential(sK4(sK0),X0) | ~sequential(X0,sK3(sK0)) | ~edge(X0) | ~edge(sK4(sK0)) | triangle(sK3(sK0),sK4(sK0),X0)) ) | ~spl9_12), 1.65/1.91 inference(subsumption_resolution,[],[f140,f73])). 1.65/1.91 fof(f145,plain,( 1.65/1.91 ( ! [X0] : (~sequential(sK4(sK0),X0) | ~sequential(X0,sK3(sK0)) | ~edge(sK4(sK0)) | triangle(sK3(sK0),sK4(sK0),X0)) ) | ~spl9_12), 1.65/1.91 inference(subsumption_resolution,[],[f144,f73])). 1.65/1.91 fof(f146,plain,( 1.65/1.91 ( ! [X0] : (~sequential(sK4(sK0),X0) | ~sequential(X0,sK3(sK0)) | triangle(sK3(sK0),sK4(sK0),X0)) ) | ~spl9_12), 1.65/1.91 inference(subsumption_resolution,[],[f145,f70])). 1.65/1.91 fof(f149,plain,( 1.65/1.91 spl9_14 <=> edge(sK3(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_14])])). 1.65/1.91 fof(f150,plain,( 1.65/1.91 edge(sK3(sK0)) | ~spl9_14), 1.65/1.91 inference(avatar_component_clause,[],[f149])). 1.65/1.91 fof(f151,plain,( 1.65/1.91 spl9_14 | ~spl9_12), 1.65/1.91 inference(avatar_split_clause,[],[f141,f137,f149])). 1.65/1.91 fof(f153,plain,( 1.65/1.91 spl9_16 <=> edge(sK4(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_16])])). 1.65/1.91 fof(f154,plain,( 1.65/1.91 edge(sK4(sK0)) | ~spl9_16), 1.65/1.91 inference(avatar_component_clause,[],[f153])). 1.65/1.91 fof(f155,plain,( 1.65/1.91 spl9_16 | ~spl9_12), 1.65/1.91 inference(avatar_split_clause,[],[f143,f137,f153])). 1.65/1.91 fof(f160,plain,( 1.65/1.91 vertex(head_of(sK3(sK0))) | ~spl9_14), 1.65/1.91 inference(resolution,[],[f150,f75])). 1.65/1.91 fof(f161,plain,( 1.65/1.91 vertex(tail_of(sK3(sK0))) | ~spl9_14), 1.65/1.91 inference(resolution,[],[f150,f76])). 1.65/1.91 fof(f163,plain,( 1.65/1.91 tail_of(sK3(sK0)) != head_of(sK3(sK0)) | ~spl9_14), 1.65/1.91 inference(resolution,[],[f150,f51])). 1.65/1.91 fof(f164,plain,( 1.65/1.91 vertex(tail_of(sK4(sK0))) | (~spl9_12 | ~spl9_14)), 1.65/1.91 inference(forward_demodulation,[],[f160,f142])). 1.65/1.91 fof(f166,plain,( 1.65/1.91 vertex(head_of(sK4(sK0))) | ~spl9_16), 1.65/1.91 inference(resolution,[],[f154,f75])). 1.65/1.91 fof(f168,plain,( 1.65/1.91 ( ! [X0] : (~edge(X0) | sK4(sK0) = X0 | tail_of(X0) != head_of(sK4(sK0)) | sequential(sK4(sK0),X0)) ) | ~spl9_16), 1.65/1.91 inference(resolution,[],[f154,f74])). 1.65/1.91 fof(f171,plain,( 1.65/1.91 spl9_20 <=> vertex(tail_of(sK3(sK0)))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_20])])). 1.65/1.91 fof(f172,plain,( 1.65/1.91 vertex(tail_of(sK3(sK0))) | ~spl9_20), 1.65/1.91 inference(avatar_component_clause,[],[f171])). 1.65/1.91 fof(f173,plain,( 1.65/1.91 spl9_20 | ~spl9_14), 1.65/1.91 inference(avatar_split_clause,[],[f161,f149,f171])). 1.65/1.91 fof(f175,plain,( 1.65/1.91 spl9_22 <=> vertex(tail_of(sK4(sK0)))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_22])])). 1.65/1.91 fof(f176,plain,( 1.65/1.91 vertex(tail_of(sK4(sK0))) | ~spl9_22), 1.65/1.91 inference(avatar_component_clause,[],[f175])). 1.65/1.91 fof(f177,plain,( 1.65/1.91 spl9_22 | ~spl9_12 | ~spl9_14), 1.65/1.91 inference(avatar_split_clause,[],[f164,f149,f137,f175])). 1.65/1.91 fof(f178,plain,( 1.65/1.91 ~on_path(sK4(sK0),sK0) | ~on_path(sK3(sK0),sK0) | precedes(sK3(sK0),sK4(sK0),sK0) | (~spl9_4 | ~spl9_12)), 1.65/1.91 inference(resolution,[],[f119,f138])). 1.65/1.91 fof(f179,plain,( 1.65/1.91 ~on_path(sK3(sK0),sK0) | precedes(sK3(sK0),sK4(sK0),sK0) | (~spl9_4 | ~spl9_8 | ~spl9_12)), 1.65/1.91 inference(subsumption_resolution,[],[f178,f130])). 1.65/1.91 fof(f180,plain,( 1.65/1.91 precedes(sK3(sK0),sK4(sK0),sK0) | (~spl9_4 | ~spl9_8 | ~spl9_10 | ~spl9_12)), 1.65/1.91 inference(subsumption_resolution,[],[f179,f134])). 1.65/1.91 fof(f182,plain,( 1.65/1.91 spl9_24 <=> vertex(head_of(sK4(sK0)))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_24])])). 1.65/1.91 fof(f183,plain,( 1.65/1.91 vertex(head_of(sK4(sK0))) | ~spl9_24), 1.65/1.91 inference(avatar_component_clause,[],[f182])). 1.65/1.91 fof(f184,plain,( 1.65/1.91 spl9_24 | ~spl9_16), 1.65/1.91 inference(avatar_split_clause,[],[f166,f153,f182])). 1.65/1.91 fof(f188,plain,( 1.65/1.91 ( ! [X0] : (~vertex(X0) | tail_of(sK4(sK0)) = X0 | sP7(sK6(X0,tail_of(sK4(sK0))),tail_of(sK4(sK0)),X0) | tail_of(sK4(sK0)) = tail_of(sK6(X0,tail_of(sK4(sK0))))) ) | ~spl9_22), 1.65/1.91 inference(resolution,[],[f176,f92])). 1.65/1.91 fof(f189,plain,( 1.65/1.91 ( ! [X1] : (~vertex(X1) | tail_of(sK4(sK0)) = X1 | sP7(sK6(X1,tail_of(sK4(sK0))),tail_of(sK4(sK0)),X1) | head_of(sK6(X1,tail_of(sK4(sK0)))) = X1) ) | ~spl9_22), 1.65/1.91 inference(resolution,[],[f176,f91])). 1.65/1.91 fof(f191,plain,( 1.65/1.91 ( ! [X0] : (~vertex(X0) | head_of(sK4(sK0)) = X0 | sP7(sK6(X0,head_of(sK4(sK0))),head_of(sK4(sK0)),X0) | tail_of(sK6(X0,head_of(sK4(sK0)))) = head_of(sK4(sK0))) ) | ~spl9_24), 1.65/1.91 inference(resolution,[],[f183,f92])). 1.65/1.91 fof(f192,plain,( 1.65/1.91 ( ! [X1] : (~vertex(X1) | head_of(sK4(sK0)) = X1 | sP7(sK6(X1,head_of(sK4(sK0))),head_of(sK4(sK0)),X1) | head_of(sK6(X1,head_of(sK4(sK0)))) = X1) ) | ~spl9_24), 1.65/1.91 inference(resolution,[],[f183,f91])). 1.65/1.91 fof(f193,plain,( 1.65/1.91 ( ! [X2] : (~vertex(X2) | head_of(sK4(sK0)) = X2 | edge(sK6(X2,head_of(sK4(sK0))))) ) | ~spl9_24), 1.65/1.91 inference(resolution,[],[f183,f93])). 1.65/1.91 fof(f198,plain,( 1.65/1.91 spl9_26 <=> precedes(sK3(sK0),sK4(sK0),sK0)), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_26])])). 1.65/1.91 fof(f199,plain,( 1.65/1.91 precedes(sK3(sK0),sK4(sK0),sK0) | ~spl9_26), 1.65/1.91 inference(avatar_component_clause,[],[f198])). 1.65/1.91 fof(f200,plain,( 1.65/1.91 spl9_26 | ~spl9_4 | ~spl9_8 | ~spl9_10 | ~spl9_12), 1.65/1.91 inference(avatar_split_clause,[],[f180,f137,f133,f129,f107,f198])). 1.65/1.91 fof(f201,plain,( 1.65/1.91 ( ! [X0] : (head_of(X0) != head_of(sK4(sK0)) | tail_of(X0) != tail_of(sK3(sK0))) ) | (~spl9_2 | ~spl9_26)), 1.65/1.91 inference(resolution,[],[f199,f104])). 1.65/1.91 fof(f202,plain,( 1.65/1.91 ~precedes(sK4(sK0),sK3(sK0),sK0) | (~spl9_2 | ~spl9_26)), 1.65/1.91 inference(resolution,[],[f199,f105])). 1.65/1.91 fof(f210,plain,( 1.65/1.91 spl9_29 <=> ~precedes(sK4(sK0),sK3(sK0),sK0)), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_29])])). 1.65/1.91 fof(f211,plain,( 1.65/1.91 ~precedes(sK4(sK0),sK3(sK0),sK0) | ~spl9_29), 1.65/1.91 inference(avatar_component_clause,[],[f210])). 1.65/1.91 fof(f212,plain,( 1.65/1.91 ~spl9_29 | ~spl9_2 | ~spl9_26), 1.65/1.91 inference(avatar_split_clause,[],[f202,f198,f99,f210])). 1.65/1.91 fof(f214,plain,( 1.65/1.91 spl9_30 <=> tail_of(sK4(sK0)) = head_of(sK3(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_30])])). 1.65/1.91 fof(f215,plain,( 1.65/1.91 tail_of(sK4(sK0)) = head_of(sK3(sK0)) | ~spl9_30), 1.65/1.91 inference(avatar_component_clause,[],[f214])). 1.65/1.91 fof(f216,plain,( 1.65/1.91 spl9_30 | ~spl9_12), 1.65/1.91 inference(avatar_split_clause,[],[f142,f137,f214])). 1.65/1.91 fof(f219,plain,( 1.65/1.91 spl9_33 <=> tail_of(sK3(sK0)) != head_of(sK3(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_33])])). 1.65/1.91 fof(f220,plain,( 1.65/1.91 tail_of(sK3(sK0)) != head_of(sK3(sK0)) | ~spl9_33), 1.65/1.91 inference(avatar_component_clause,[],[f219])). 1.65/1.91 fof(f221,plain,( 1.65/1.91 ~spl9_33 | ~spl9_14), 1.65/1.91 inference(avatar_split_clause,[],[f163,f149,f219])). 1.65/1.91 fof(f226,plain,( 1.65/1.91 tail_of(sK3(sK0)) != tail_of(sK4(sK0)) | (~spl9_30 | ~spl9_33)), 1.65/1.91 inference(superposition,[],[f220,f215])). 1.65/1.91 fof(f228,plain,( 1.65/1.91 spl9_37 <=> tail_of(sK3(sK0)) != tail_of(sK4(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_37])])). 1.65/1.91 fof(f229,plain,( 1.65/1.91 tail_of(sK3(sK0)) != tail_of(sK4(sK0)) | ~spl9_37), 1.65/1.91 inference(avatar_component_clause,[],[f228])). 1.65/1.91 fof(f230,plain,( 1.65/1.91 ~spl9_37 | ~spl9_30 | spl9_33), 1.65/1.91 inference(avatar_split_clause,[],[f226,f219,f214,f228])). 1.65/1.91 fof(f250,plain,( 1.65/1.91 sK3(sK0) = sK4(sK0) | tail_of(sK3(sK0)) != head_of(sK4(sK0)) | sequential(sK4(sK0),sK3(sK0)) | (~spl9_14 | ~spl9_16)), 1.65/1.91 inference(resolution,[],[f168,f150])). 1.65/1.91 fof(f267,plain,( 1.65/1.91 tail_of(sK3(sK0)) = head_of(sK4(sK0)) | edge(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_20 | ~spl9_24)), 1.65/1.91 inference(resolution,[],[f193,f172])). 1.65/1.91 fof(f276,plain,( 1.65/1.91 spl9_46 <=> sequential(sK4(sK0),sK3(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_46])])). 1.65/1.91 fof(f277,plain,( 1.65/1.91 sequential(sK4(sK0),sK3(sK0)) | ~spl9_46), 1.65/1.91 inference(avatar_component_clause,[],[f276])). 1.65/1.91 fof(f279,plain,( 1.65/1.91 spl9_49 <=> tail_of(sK3(sK0)) != head_of(sK4(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_49])])). 1.65/1.91 fof(f280,plain,( 1.65/1.91 tail_of(sK3(sK0)) != head_of(sK4(sK0)) | ~spl9_49), 1.65/1.91 inference(avatar_component_clause,[],[f279])). 1.65/1.91 fof(f282,plain,( 1.65/1.91 spl9_50 <=> sK3(sK0) = sK4(sK0)), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_50])])). 1.65/1.91 fof(f284,plain,( 1.65/1.91 spl9_46 | ~spl9_49 | spl9_50 | ~spl9_14 | ~spl9_16), 1.65/1.91 inference(avatar_split_clause,[],[f250,f153,f149,f282,f279,f276])). 1.65/1.91 fof(f285,plain,( 1.65/1.91 edge(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_20 | ~spl9_24 | ~spl9_49)), 1.65/1.91 inference(subsumption_resolution,[],[f267,f280])). 1.65/1.91 fof(f298,plain,( 1.65/1.91 tail_of(sK3(sK0)) = tail_of(sK4(sK0)) | sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),tail_of(sK4(sK0)),tail_of(sK3(sK0))) | tail_of(sK3(sK0)) = head_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))) | (~spl9_20 | ~spl9_22)), 1.65/1.91 inference(resolution,[],[f189,f172])). 1.65/1.91 fof(f301,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),tail_of(sK4(sK0)),tail_of(sK3(sK0))) | tail_of(sK3(sK0)) = head_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))) | (~spl9_20 | ~spl9_22 | ~spl9_37)), 1.65/1.91 inference(subsumption_resolution,[],[f298,f229])). 1.65/1.91 fof(f307,plain,( 1.65/1.91 tail_of(sK3(sK0)) = head_of(sK4(sK0)) | sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),head_of(sK4(sK0)),tail_of(sK3(sK0))) | tail_of(sK3(sK0)) = head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_20 | ~spl9_24)), 1.65/1.91 inference(resolution,[],[f192,f172])). 1.65/1.91 fof(f324,plain,( 1.65/1.91 spl9_54 <=> edge(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_54])])). 1.65/1.91 fof(f325,plain,( 1.65/1.91 edge(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | ~spl9_54), 1.65/1.91 inference(avatar_component_clause,[],[f324])). 1.65/1.91 fof(f326,plain,( 1.65/1.91 spl9_54 | ~spl9_20 | ~spl9_24 | spl9_49), 1.65/1.91 inference(avatar_split_clause,[],[f285,f279,f182,f171,f324])). 1.65/1.91 fof(f327,plain,( 1.65/1.91 tail_of(sK3(sK0)) = tail_of(sK4(sK0)) | sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),tail_of(sK4(sK0)),tail_of(sK3(sK0))) | tail_of(sK4(sK0)) = tail_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))) | (~spl9_20 | ~spl9_22)), 1.65/1.91 inference(resolution,[],[f188,f172])). 1.65/1.91 fof(f330,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),tail_of(sK4(sK0)),tail_of(sK3(sK0))) | tail_of(sK4(sK0)) = tail_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))) | (~spl9_20 | ~spl9_22 | ~spl9_37)), 1.65/1.91 inference(subsumption_resolution,[],[f327,f229])). 1.65/1.91 fof(f348,plain,( 1.65/1.91 ~on_path(sK3(sK0),sK0) | ~on_path(sK4(sK0),sK0) | precedes(sK4(sK0),sK3(sK0),sK0) | (~spl9_4 | ~spl9_46)), 1.65/1.91 inference(resolution,[],[f277,f119])). 1.65/1.91 fof(f355,plain,( 1.65/1.91 ~on_path(sK4(sK0),sK0) | precedes(sK4(sK0),sK3(sK0),sK0) | (~spl9_4 | ~spl9_10 | ~spl9_46)), 1.65/1.91 inference(subsumption_resolution,[],[f348,f134])). 1.65/1.91 fof(f356,plain,( 1.65/1.91 precedes(sK4(sK0),sK3(sK0),sK0) | (~spl9_4 | ~spl9_8 | ~spl9_10 | ~spl9_46)), 1.65/1.91 inference(subsumption_resolution,[],[f355,f130])). 1.65/1.91 fof(f357,plain,( 1.65/1.91 $false | (~spl9_4 | ~spl9_8 | ~spl9_10 | ~spl9_29 | ~spl9_46)), 1.65/1.91 inference(subsumption_resolution,[],[f356,f211])). 1.65/1.91 fof(f358,plain,( 1.65/1.91 ~spl9_4 | ~spl9_8 | ~spl9_10 | spl9_29 | ~spl9_46), 1.65/1.91 inference(avatar_contradiction_clause,[],[f357])). 1.65/1.91 fof(f362,plain,( 1.65/1.91 sK3(sK0) != sK4(sK0) | sequential(sK4(sK0),sK3(sK0)) | ~sequential(sK3(sK0),sK4(sK0))), 1.65/1.91 introduced(theory_axiom,[])). 1.65/1.91 fof(f364,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),head_of(sK4(sK0)),tail_of(sK3(sK0))) | tail_of(sK3(sK0)) = head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_20 | ~spl9_24 | ~spl9_49)), 1.65/1.91 inference(subsumption_resolution,[],[f307,f280])). 1.65/1.91 fof(f372,plain,( 1.65/1.91 tail_of(sK3(sK0)) = head_of(sK4(sK0)) | sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),head_of(sK4(sK0)),tail_of(sK3(sK0))) | tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) = head_of(sK4(sK0)) | (~spl9_20 | ~spl9_24)), 1.65/1.91 inference(resolution,[],[f191,f172])). 1.65/1.91 fof(f375,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),head_of(sK4(sK0)),tail_of(sK3(sK0))) | tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) = head_of(sK4(sK0)) | (~spl9_20 | ~spl9_24 | ~spl9_49)), 1.65/1.91 inference(subsumption_resolution,[],[f372,f280])). 1.65/1.91 fof(f377,plain,( 1.65/1.91 sK4(sK0) = sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))) | tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) != head_of(sK4(sK0)) | sequential(sK4(sK0),sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_16 | ~spl9_54)), 1.65/1.91 inference(resolution,[],[f325,f168])). 1.65/1.91 fof(f381,plain,( 1.65/1.91 ( ! [X0] : (~edge(X0) | sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))) = X0 | tail_of(X0) != head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | sequential(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),X0)) ) | ~spl9_54), 1.65/1.91 inference(resolution,[],[f325,f74])). 1.65/1.91 fof(f416,plain,( 1.65/1.91 spl9_68 <=> tail_of(sK3(sK0)) = head_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_68])])). 1.65/1.91 fof(f417,plain,( 1.65/1.91 tail_of(sK3(sK0)) = head_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))) | ~spl9_68), 1.65/1.91 inference(avatar_component_clause,[],[f416])). 1.65/1.91 fof(f419,plain,( 1.65/1.91 spl9_70 <=> sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),tail_of(sK4(sK0)),tail_of(sK3(sK0)))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_70])])). 1.65/1.91 fof(f420,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),tail_of(sK4(sK0)),tail_of(sK3(sK0))) | ~spl9_70), 1.65/1.91 inference(avatar_component_clause,[],[f419])). 1.65/1.91 fof(f421,plain,( 1.65/1.91 spl9_68 | spl9_70 | ~spl9_20 | ~spl9_22 | spl9_37), 1.65/1.91 inference(avatar_split_clause,[],[f301,f228,f175,f171,f419,f416])). 1.65/1.91 fof(f468,plain,( 1.65/1.91 spl9_92 <=> tail_of(sK4(sK0)) = tail_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_92])])). 1.65/1.91 fof(f469,plain,( 1.65/1.91 tail_of(sK4(sK0)) = tail_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))) | ~spl9_92), 1.65/1.91 inference(avatar_component_clause,[],[f468])). 1.65/1.91 fof(f470,plain,( 1.65/1.91 spl9_92 | spl9_70 | ~spl9_20 | ~spl9_22 | spl9_37), 1.65/1.91 inference(avatar_split_clause,[],[f330,f228,f175,f171,f419,f468])). 1.65/1.91 fof(f476,plain,( 1.65/1.91 tail_of(sK4(sK0)) = head_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))) | ~spl9_70), 1.65/1.91 inference(resolution,[],[f420,f64])). 1.65/1.91 fof(f490,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),head_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))),tail_of(sK4(sK0))) | ~spl9_92), 1.65/1.91 inference(superposition,[],[f88,f469])). 1.65/1.91 fof(f491,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),tail_of(sK3(sK0)),tail_of(sK4(sK0))) | (~spl9_68 | ~spl9_92)), 1.65/1.91 inference(forward_demodulation,[],[f490,f417])). 1.65/1.91 fof(f683,plain,( 1.65/1.91 spl9_106 <=> tail_of(sK3(sK0)) = head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_106])])). 1.65/1.91 fof(f684,plain,( 1.65/1.91 tail_of(sK3(sK0)) = head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | ~spl9_106), 1.65/1.91 inference(avatar_component_clause,[],[f683])). 1.65/1.91 fof(f686,plain,( 1.65/1.91 spl9_108 <=> sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),head_of(sK4(sK0)),tail_of(sK3(sK0)))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_108])])). 1.65/1.91 fof(f687,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),head_of(sK4(sK0)),tail_of(sK3(sK0))) | ~spl9_108), 1.65/1.91 inference(avatar_component_clause,[],[f686])). 1.65/1.91 fof(f688,plain,( 1.65/1.91 spl9_106 | spl9_108 | ~spl9_20 | ~spl9_24 | spl9_49), 1.65/1.91 inference(avatar_split_clause,[],[f364,f279,f182,f171,f686,f683])). 1.65/1.91 fof(f822,plain,( 1.65/1.91 spl9_112 <=> tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) = head_of(sK4(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_112])])). 1.65/1.91 fof(f823,plain,( 1.65/1.91 tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) = head_of(sK4(sK0)) | ~spl9_112), 1.65/1.91 inference(avatar_component_clause,[],[f822])). 1.65/1.91 fof(f824,plain,( 1.65/1.91 spl9_112 | spl9_108 | ~spl9_20 | ~spl9_24 | spl9_49), 1.65/1.91 inference(avatar_split_clause,[],[f375,f279,f182,f171,f686,f822])). 1.65/1.91 fof(f867,plain,( 1.65/1.91 head_of(sK4(sK0)) = head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | ~spl9_108), 1.65/1.91 inference(resolution,[],[f687,f64])). 1.65/1.91 fof(f868,plain,( 1.65/1.91 tail_of(sK3(sK0)) = tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | ~spl9_108), 1.65/1.91 inference(resolution,[],[f687,f65])). 1.65/1.91 fof(f1124,plain,( 1.65/1.91 spl9_126 <=> head_of(sK4(sK0)) = head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_126])])). 1.65/1.91 fof(f1125,plain,( 1.65/1.91 head_of(sK4(sK0)) = head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | ~spl9_126), 1.65/1.91 inference(avatar_component_clause,[],[f1124])). 1.65/1.91 fof(f1126,plain,( 1.65/1.91 spl9_126 | ~spl9_108), 1.65/1.91 inference(avatar_split_clause,[],[f867,f686,f1124])). 1.65/1.91 fof(f1128,plain,( 1.65/1.91 spl9_128 <=> tail_of(sK3(sK0)) = tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_128])])). 1.65/1.91 fof(f1129,plain,( 1.65/1.91 tail_of(sK3(sK0)) = tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | ~spl9_128), 1.65/1.91 inference(avatar_component_clause,[],[f1128])). 1.65/1.91 fof(f1130,plain,( 1.65/1.91 spl9_128 | ~spl9_108), 1.65/1.91 inference(avatar_split_clause,[],[f868,f686,f1128])). 1.65/1.91 fof(f1148,plain,( 1.65/1.91 head_of(sK4(sK0)) != head_of(sK4(sK0)) | tail_of(sK3(sK0)) != tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_2 | ~spl9_26 | ~spl9_126)), 1.65/1.91 inference(superposition,[],[f201,f1125])). 1.65/1.91 fof(f1150,plain,( 1.65/1.91 tail_of(sK3(sK0)) != tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_2 | ~spl9_26 | ~spl9_126)), 1.65/1.91 inference(trivial_inequality_removal,[],[f1148])). 1.65/1.91 fof(f1151,plain,( 1.65/1.91 $false | (~spl9_2 | ~spl9_26 | ~spl9_126 | ~spl9_128)), 1.65/1.91 inference(subsumption_resolution,[],[f1150,f1129])). 1.65/1.91 fof(f1152,plain,( 1.65/1.91 ~spl9_2 | ~spl9_26 | ~spl9_126 | ~spl9_128), 1.65/1.91 inference(avatar_contradiction_clause,[],[f1151])). 1.65/1.91 fof(f1162,plain,( 1.65/1.91 sK4(sK0) = sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))) | sequential(sK4(sK0),sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_16 | ~spl9_54 | ~spl9_112)), 1.65/1.91 inference(subsumption_resolution,[],[f377,f823])). 1.65/1.91 fof(f1172,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),tail_of(sK3(sK0)),tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))))) | ~spl9_106), 1.65/1.91 inference(superposition,[],[f88,f684])). 1.65/1.91 fof(f1173,plain,( 1.65/1.91 sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),tail_of(sK3(sK0)),head_of(sK4(sK0))) | (~spl9_106 | ~spl9_112)), 1.65/1.91 inference(forward_demodulation,[],[f1172,f823])). 1.65/1.91 fof(f1201,plain,( 1.65/1.91 spl9_134 <=> sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),tail_of(sK3(sK0)),tail_of(sK4(sK0)))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_134])])). 1.65/1.91 fof(f1203,plain,( 1.65/1.91 spl9_134 | ~spl9_68 | ~spl9_92), 1.65/1.91 inference(avatar_split_clause,[],[f491,f468,f416,f1201])). 1.65/1.91 fof(f1205,plain,( 1.65/1.91 spl9_136 <=> tail_of(sK4(sK0)) = head_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_136])])). 1.65/1.91 fof(f1207,plain,( 1.65/1.91 spl9_136 | ~spl9_70), 1.65/1.91 inference(avatar_split_clause,[],[f476,f419,f1205])). 1.65/1.91 fof(f1328,plain,( 1.65/1.91 spl9_148 <=> sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),tail_of(sK3(sK0)),head_of(sK4(sK0)))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_148])])). 1.65/1.91 fof(f1330,plain,( 1.65/1.91 spl9_148 | ~spl9_106 | ~spl9_112), 1.65/1.91 inference(avatar_split_clause,[],[f1173,f822,f683,f1328])). 1.65/1.91 fof(f1476,plain,( 1.65/1.91 spl9_174 <=> sequential(sK4(sK0),sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_174])])). 1.65/1.91 fof(f1477,plain,( 1.65/1.91 sequential(sK4(sK0),sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | ~spl9_174), 1.65/1.91 inference(avatar_component_clause,[],[f1476])). 1.65/1.91 fof(f1479,plain,( 1.65/1.91 spl9_176 <=> sK4(sK0) = sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_176])])). 1.65/1.91 fof(f1481,plain,( 1.65/1.91 spl9_174 | spl9_176 | ~spl9_16 | ~spl9_54 | ~spl9_112), 1.65/1.91 inference(avatar_split_clause,[],[f1162,f822,f324,f153,f1479,f1476])). 1.65/1.91 fof(f1482,plain,( 1.65/1.91 ~sequential(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),sK3(sK0)) | triangle(sK3(sK0),sK4(sK0),sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_12 | ~spl9_174)), 1.65/1.91 inference(resolution,[],[f1477,f146])). 1.65/1.91 fof(f1626,plain,( 1.65/1.91 sK3(sK0) = sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))) | tail_of(sK3(sK0)) != head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | sequential(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),sK3(sK0)) | (~spl9_14 | ~spl9_54)), 1.65/1.91 inference(resolution,[],[f381,f150])). 1.65/1.91 fof(f1634,plain,( 1.65/1.91 sK3(sK0) = sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))) | sequential(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),sK3(sK0)) | (~spl9_14 | ~spl9_54 | ~spl9_106)), 1.65/1.91 inference(subsumption_resolution,[],[f1626,f684])). 1.65/1.91 fof(f1694,plain,( 1.65/1.91 spl9_210 <=> sK3(sK0) = sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_210])])). 1.65/1.91 fof(f1965,plain,( 1.65/1.91 spl9_246 <=> sequential(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),sK3(sK0))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_246])])). 1.65/1.91 fof(f1966,plain,( 1.65/1.91 sequential(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),sK3(sK0)) | ~spl9_246), 1.65/1.91 inference(avatar_component_clause,[],[f1965])). 1.65/1.91 fof(f1967,plain,( 1.65/1.91 spl9_246 | spl9_210 | ~spl9_14 | ~spl9_54 | ~spl9_106), 1.65/1.91 inference(avatar_split_clause,[],[f1634,f683,f324,f149,f1694,f1965])). 1.65/1.91 fof(f1968,plain,( 1.65/1.91 triangle(sK3(sK0),sK4(sK0),sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | (~spl9_12 | ~spl9_174 | ~spl9_246)), 1.65/1.91 inference(subsumption_resolution,[],[f1482,f1966])). 1.65/1.91 fof(f1979,plain,( 1.65/1.91 spl9_248 <=> triangle(sK3(sK0),sK4(sK0),sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))))), 1.65/1.91 introduced(avatar_definition,[new_symbols(naming,[spl9_248])])). 1.65/1.91 fof(f1980,plain,( 1.65/1.91 triangle(sK3(sK0),sK4(sK0),sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | ~spl9_248), 1.65/1.91 inference(avatar_component_clause,[],[f1979])). 1.65/1.91 fof(f1981,plain,( 1.65/1.91 spl9_248 | ~spl9_12 | ~spl9_174 | ~spl9_246), 1.65/1.91 inference(avatar_split_clause,[],[f1968,f1965,f1476,f137,f1979])). 1.65/1.91 fof(f1982,plain,( 1.65/1.91 ( ! [X0,X1] : (~path(X0,X1,sK0) | number_of_in(triangles,sK0) = number_of_in(sequential_pairs,sK0)) ) | ~spl9_248), 1.65/1.91 inference(resolution,[],[f1980,f55])). 1.65/1.91 fof(f1983,plain,( 1.65/1.91 ( ! [X0,X1] : (~path(X0,X1,sK0)) ) | (~spl9_7 | ~spl9_248)), 1.65/1.91 inference(subsumption_resolution,[],[f1982,f112])). 1.65/1.91 fof(f1984,plain,( 1.65/1.91 $false | (~spl9_4 | ~spl9_7 | ~spl9_248)), 1.65/1.91 inference(subsumption_resolution,[],[f108,f1983])). 1.65/1.91 fof(f1985,plain,( 1.65/1.91 ~spl9_4 | spl9_7 | ~spl9_248), 1.65/1.91 inference(avatar_contradiction_clause,[],[f1984])). 1.65/1.91 fof(f1990,plain,( 1.65/1.91 sK3(sK0) != sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))) | tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) != head_of(sK4(sK0)) | sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),head_of(sK4(sK0)),tail_of(sK3(sK0))) | ~sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),tail_of(sK3(sK0)),head_of(sK4(sK0)))), 1.65/1.91 introduced(theory_axiom,[])). 1.65/1.91 fof(f1991,plain,( 1.65/1.91 sK4(sK0) != sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))) | tail_of(sK3(sK0)) != head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) != head_of(sK4(sK0)) | tail_of(sK4(sK0)) != head_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))) | sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),head_of(sK4(sK0)),tail_of(sK3(sK0))) | ~sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),tail_of(sK3(sK0)),head_of(sK4(sK0)))), 1.65/1.91 introduced(theory_axiom,[])). 1.65/1.91 fof(f1994,plain,( 1.65/1.91 tail_of(sK3(sK0)) != head_of(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0)))) | sK4(sK0) != sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))) | tail_of(sK3(sK0)) != head_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) | tail_of(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0)))) != head_of(sK4(sK0)) | sP7(sK6(tail_of(sK3(sK0)),head_of(sK4(sK0))),head_of(sK4(sK0)),tail_of(sK3(sK0))) | ~sP7(sK6(tail_of(sK3(sK0)),tail_of(sK4(sK0))),tail_of(sK3(sK0)),tail_of(sK4(sK0)))), 1.65/1.91 introduced(theory_axiom,[])). 1.65/1.91 fof(f1995,plain,( 1.65/1.91 $false), 1.65/1.91 inference(avatar_sat_refutation,[],[f101,f109,f113,f131,f135,f139,f151,f155,f173,f177,f184,f200,f212,f216,f221,f230,f284,f326,f358,f362,f421,f470,f688,f824,f1126,f1130,f1152,f1203,f1207,f1330,f1481,f1967,f1981,f1985,f1990,f1991,f1994])). 1.65/1.91 % SZS output end Proof for theBenchmark 1.65/1.91 % ------------------------------ 1.65/1.91 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.65/1.91 % Termination reason: Refutation 1.65/1.91 1.65/1.91 % Memory used [KB]: 6396 1.65/1.91 % Time elapsed: 0.044 s 1.65/1.91 % ------------------------------ 1.65/1.91 % ------------------------------ 1.65/1.91 % Success in time 1.678 s 1.65/1.91 EOF