0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.24 % Computer : n132.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 05:11:55 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.28 % ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.58/0.78 % Time limit reached! 0.58/0.78 % ------------------------------ 0.58/0.78 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.58/0.78 % Termination reason: Time limit 0.58/0.78 % Termination phase: Saturation 0.58/0.78 0.58/0.78 % Memory used [KB]: 7291 0.58/0.78 % Time elapsed: 0.500 s 0.58/0.78 % ------------------------------ 0.58/0.78 % ------------------------------ 0.59/0.81 % lrs+1002_1_av=off:er=filter:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark 0.59/0.81 % Refutation not found, incomplete strategy 0.59/0.81 % ------------------------------ 0.59/0.81 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.59/0.81 % Termination reason: Refutation not found, incomplete strategy 0.59/0.81 0.59/0.81 % Memory used [KB]: 5117 0.59/0.81 % Time elapsed: 0.002 s 0.59/0.81 % ------------------------------ 0.59/0.81 % ------------------------------ 0.62/0.85 % lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:bce=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:sas=z3:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 1.80/2.00 % Refutation found. Thanks to Tanya! 1.80/2.00 % SZS status Theorem for theBenchmark 1.80/2.00 % SZS output start Proof for theBenchmark 1.80/2.00 fof(f1,axiom,( 1.80/2.00 ! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0)), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13)). 1.80/2.00 fof(f2,axiom,( 1.80/2.00 ! [X2,X3] : (('>='(X2,X3) & '>='(X3,X2)) => X2 = X3)), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06)). 1.80/2.00 fof(f3,axiom,( 1.80/2.00 ! [X0] : '>='(X0,X0)), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04)). 1.80/2.00 fof(f4,axiom,( 1.80/2.00 ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0)), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02)). 1.80/2.00 fof(f5,axiom,( 1.80/2.00 ! [X4,X5,X6] : ('>='('+'(X4,X5),X6) <=> '>='(X5,'==>'(X4,X6)))), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)). 1.80/2.00 fof(f6,axiom,( 1.80/2.00 ! [X7,X8,X9] : ('>='(X7,X8) => '>='('==>'(X9,X7),'==>'(X9,X8)))), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11)). 1.80/2.00 fof(f7,axiom,( 1.80/2.00 ! [X10,X11,X12] : (('>='(X11,X12) & '>='(X10,X11)) => '>='(X10,X12))), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05)). 1.80/2.00 fof(f8,axiom,( 1.80/2.00 ! [X0] : '+'(X0,'1') = '1'), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12)). 1.80/2.00 fof(f9,conjecture,( 1.80/2.00 ! [X13] : '==>'('==>'('==>'(X13,'1'),X13),X13) = '0'), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15)). 1.80/2.00 fof(f10,negated_conjecture,( 1.80/2.00 ~! [X13] : '==>'('==>'('==>'(X13,'1'),X13),X13) = '0'), 1.80/2.00 inference(negated_conjecture,[],[f9])). 1.80/2.00 fof(f11,axiom,( 1.80/2.00 ! [X14,X15,X16] : ('>='(X14,X15) => '>='('==>'(X15,X16),'==>'(X14,X16)))), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10)). 1.80/2.00 fof(f12,axiom,( 1.80/2.00 ! [X0,X1,X17] : '+'(X0,'+'(X1,X17)) = '+'('+'(X0,X1),X17)), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01)). 1.80/2.00 fof(f13,axiom,( 1.80/2.00 ! [X0] : '>='(X0,'0')), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08)). 1.80/2.00 fof(f14,axiom,( 1.80/2.00 ! [X0] : '+'(X0,'0') = X0), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03)). 1.80/2.00 fof(f15,axiom,( 1.80/2.00 ! [X0] : '+'(X0,X0) = X0), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14)). 1.80/2.00 fof(f16,axiom,( 1.80/2.00 ! [X18,X19,X20] : ('>='(X18,X19) => '>='('+'(X18,X20),'+'(X19,X20)))), 1.80/2.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09)). 1.80/2.00 fof(f17,plain,( 1.80/2.00 ~! [X0] : '==>'('==>'('==>'(X0,'1'),X0),X0) = '0'), 1.80/2.00 inference(rectify,[],[f10])). 1.80/2.00 fof(f18,plain,( 1.80/2.00 ! [X0,X1] : (('>='(X0,X1) & '>='(X1,X0)) => X0 = X1)), 1.80/2.00 inference(rectify,[],[f2])). 1.80/2.00 fof(f19,plain,( 1.80/2.00 ! [X0,X1,X2] : '+'(X0,'+'(X1,X2)) = '+'('+'(X0,X1),X2)), 1.80/2.00 inference(rectify,[],[f12])). 1.80/2.00 fof(f20,plain,( 1.80/2.00 ! [X0,X1,X2] : ('>='(X0,X1) => '>='('==>'(X1,X2),'==>'(X0,X2)))), 1.80/2.00 inference(rectify,[],[f11])). 1.80/2.00 fof(f21,plain,( 1.80/2.00 ! [X0,X1,X2] : ('>='(X0,X1) => '>='('==>'(X2,X0),'==>'(X2,X1)))), 1.80/2.00 inference(rectify,[],[f6])). 1.80/2.00 fof(f22,plain,( 1.80/2.00 ! [X0,X1,X2] : ('>='(X0,X1) => '>='('+'(X0,X2),'+'(X1,X2)))), 1.80/2.00 inference(rectify,[],[f16])). 1.80/2.00 fof(f23,plain,( 1.80/2.00 ! [X0,X1,X2] : (('>='(X1,X2) & '>='(X0,X1)) => '>='(X0,X2))), 1.80/2.00 inference(rectify,[],[f7])). 1.80/2.00 fof(f24,plain,( 1.80/2.00 ! [X0,X1,X2] : ('>='('+'(X0,X1),X2) <=> '>='(X1,'==>'(X0,X2)))), 1.80/2.00 inference(rectify,[],[f5])). 1.80/2.00 fof(f25,plain,( 1.80/2.00 ? [X0] : '==>'('==>'('==>'(X0,'1'),X0),X0) != '0'), 1.80/2.00 inference(ennf_transformation,[],[f17])). 1.80/2.00 fof(f26,plain,( 1.80/2.00 ! [X0,X1] : (X0 = X1 | (~'>='(X0,X1) | ~'>='(X1,X0)))), 1.80/2.00 inference(ennf_transformation,[],[f18])). 1.80/2.00 fof(f27,plain,( 1.80/2.00 ! [X0,X1] : (X0 = X1 | ~'>='(X0,X1) | ~'>='(X1,X0))), 1.80/2.00 inference(flattening,[],[f26])). 1.80/2.00 fof(f28,plain,( 1.80/2.00 ! [X0,X1,X2] : ('>='('==>'(X1,X2),'==>'(X0,X2)) | ~'>='(X0,X1))), 1.80/2.00 inference(ennf_transformation,[],[f20])). 1.80/2.00 fof(f29,plain,( 1.80/2.00 ! [X0,X1,X2] : ('>='('==>'(X2,X0),'==>'(X2,X1)) | ~'>='(X0,X1))), 1.80/2.00 inference(ennf_transformation,[],[f21])). 1.80/2.00 fof(f30,plain,( 1.80/2.00 ! [X0,X1,X2] : ('>='('+'(X0,X2),'+'(X1,X2)) | ~'>='(X0,X1))), 1.80/2.00 inference(ennf_transformation,[],[f22])). 1.80/2.00 fof(f31,plain,( 1.80/2.00 ! [X0,X1,X2] : ('>='(X0,X2) | (~'>='(X1,X2) | ~'>='(X0,X1)))), 1.80/2.00 inference(ennf_transformation,[],[f23])). 1.80/2.00 fof(f32,plain,( 1.80/2.00 ! [X0,X1,X2] : ('>='(X0,X2) | ~'>='(X1,X2) | ~'>='(X0,X1))), 1.80/2.00 inference(flattening,[],[f31])). 1.80/2.00 fof(f33,plain,( 1.80/2.00 '==>'('==>'('==>'(sK0,'1'),sK0),sK0) != '0'), 1.80/2.00 inference(cnf_transformation,[],[f25])). 1.80/2.00 fof(f34,plain,( 1.80/2.00 ( ! [X0] : ('>='(X0,X0)) )), 1.80/2.00 inference(cnf_transformation,[],[f3])). 1.80/2.00 fof(f35,plain,( 1.80/2.00 ( ! [X0] : ('>='(X0,'0')) )), 1.80/2.00 inference(cnf_transformation,[],[f13])). 1.80/2.00 fof(f36,plain,( 1.80/2.00 ( ! [X0] : ('+'(X0,'0') = X0) )), 1.80/2.00 inference(cnf_transformation,[],[f14])). 1.80/2.00 fof(f37,plain,( 1.80/2.00 ( ! [X0] : ('+'(X0,X0) = X0) )), 1.80/2.00 inference(cnf_transformation,[],[f15])). 1.80/2.00 fof(f38,plain,( 1.80/2.00 ( ! [X0] : ('+'(X0,'1') = '1') )), 1.80/2.00 inference(cnf_transformation,[],[f8])). 1.80/2.00 fof(f39,plain,( 1.80/2.00 ( ! [X0,X1] : ('+'(X0,X1) = '+'(X1,X0)) )), 1.80/2.00 inference(cnf_transformation,[],[f4])). 1.80/2.00 fof(f40,plain,( 1.80/2.00 ( ! [X0,X1] : ('==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0)) )), 1.80/2.00 inference(cnf_transformation,[],[f1])). 1.80/2.00 fof(f41,plain,( 1.80/2.00 ( ! [X0,X1] : (~'>='(X1,X0) | ~'>='(X0,X1) | X0 = X1) )), 1.80/2.00 inference(cnf_transformation,[],[f27])). 1.80/2.00 fof(f42,plain,( 1.80/2.00 ( ! [X2,X0,X1] : ('+'(X0,'+'(X1,X2)) = '+'('+'(X0,X1),X2)) )), 1.80/2.00 inference(cnf_transformation,[],[f19])). 1.80/2.00 fof(f43,plain,( 1.80/2.00 ( ! [X2,X0,X1] : ('>='('==>'(X1,X2),'==>'(X0,X2)) | ~'>='(X0,X1)) )), 1.80/2.00 inference(cnf_transformation,[],[f28])). 1.80/2.00 fof(f44,plain,( 1.80/2.00 ( ! [X2,X0,X1] : ('>='('==>'(X2,X0),'==>'(X2,X1)) | ~'>='(X0,X1)) )), 1.80/2.00 inference(cnf_transformation,[],[f29])). 1.80/2.00 fof(f45,plain,( 1.80/2.00 ( ! [X2,X0,X1] : ('>='('+'(X0,X2),'+'(X1,X2)) | ~'>='(X0,X1)) )), 1.80/2.00 inference(cnf_transformation,[],[f30])). 1.80/2.00 fof(f46,plain,( 1.80/2.00 ( ! [X2,X0,X1] : (~'>='(X1,X2) | ~'>='(X0,X1) | '>='(X0,X2)) )), 1.80/2.00 inference(cnf_transformation,[],[f32])). 1.80/2.00 fof(f47,plain,( 1.80/2.00 ( ! [X2,X0,X1] : (~'>='(X1,'==>'(X0,X2)) | '>='('+'(X0,X1),X2)) )), 1.80/2.00 inference(cnf_transformation,[],[f24])). 1.80/2.00 fof(f48,plain,( 1.80/2.00 ( ! [X2,X0,X1] : (~'>='('+'(X0,X1),X2) | '>='(X1,'==>'(X0,X2))) )), 1.80/2.00 inference(cnf_transformation,[],[f24])). 1.80/2.00 fof(f53,plain,( 1.80/2.00 spl1_1 <=> '==>'('==>'('==>'(sK0,'1'),sK0),sK0) != '0'), 1.80/2.00 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])). 1.80/2.00 fof(f54,plain,( 1.80/2.00 '==>'('==>'('==>'(sK0,'1'),sK0),sK0) != '0' | ~spl1_1), 1.80/2.00 inference(avatar_component_clause,[],[f53])). 1.80/2.00 fof(f55,plain,( 1.80/2.00 ~spl1_1), 1.80/2.00 inference(avatar_split_clause,[],[f33,f53])). 1.80/2.00 fof(f56,plain,( 1.80/2.00 ( ! [X5] : ('+'('1',X5) = '1') )), 1.80/2.00 inference(superposition,[],[f39,f38])). 1.80/2.00 fof(f57,plain,( 1.80/2.00 ( ! [X6] : ('+'('0',X6) = X6) )), 1.80/2.00 inference(superposition,[],[f39,f36])). 1.80/2.00 fof(f77,plain,( 1.80/2.00 ( ! [X1] : (~'>='('0',X1) | '0' = X1) )), 1.80/2.00 inference(resolution,[],[f41,f35])). 1.80/2.00 fof(f88,plain,( 1.80/2.00 ~'>='('0','==>'('==>'('==>'(sK0,'1'),sK0),sK0)) | ~spl1_1), 1.80/2.00 inference(unit_resulting_resolution,[],[f35,f54,f41])). 1.80/2.00 fof(f89,plain,( 1.80/2.00 ~'>='('0','==>'('==>'('==>'(sK0,'1'),sK0),sK0)) | ~spl1_1), 1.80/2.00 inference(unit_resulting_resolution,[],[f54,f77])). 1.80/2.00 fof(f90,plain,( 1.80/2.00 ~'>='('0','==>'('==>'('==>'(sK0,'1'),sK0),sK0)) | ~spl1_1), 1.80/2.00 inference(unit_resulting_resolution,[],[f35,f54,f41])). 1.80/2.00 fof(f95,plain,( 1.80/2.00 spl1_3 <=> ~'>='('0','==>'('==>'('==>'(sK0,'1'),sK0),sK0))), 1.80/2.00 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 1.80/2.00 fof(f96,plain,( 1.80/2.01 ~'>='('0','==>'('==>'('==>'(sK0,'1'),sK0),sK0)) | ~spl1_3), 1.80/2.01 inference(avatar_component_clause,[],[f95])). 1.80/2.01 fof(f97,plain,( 1.80/2.01 ~spl1_3 | spl1_1), 1.80/2.01 inference(avatar_split_clause,[],[f90,f53,f95])). 1.80/2.01 fof(f98,plain,( 1.80/2.01 ~spl1_3 | spl1_1), 1.80/2.01 inference(avatar_split_clause,[],[f89,f53,f95])). 1.80/2.01 fof(f99,plain,( 1.80/2.01 ~spl1_3 | spl1_1), 1.80/2.01 inference(avatar_split_clause,[],[f88,f53,f95])). 1.80/2.01 fof(f104,plain,( 1.80/2.01 ( ! [X0,X1] : ('>='('==>'('0',X0),'==>'(X1,X0))) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f35,f43])). 1.80/2.01 fof(f111,plain,( 1.80/2.01 ~'>='('0','==>'('0',sK0)) | ~spl1_3), 1.80/2.01 inference(unit_resulting_resolution,[],[f96,f104,f46])). 1.80/2.01 fof(f124,plain,( 1.80/2.01 spl1_5 <=> ~'>='('0','==>'('0',sK0))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])). 1.80/2.01 fof(f125,plain,( 1.80/2.01 ~'>='('0','==>'('0',sK0)) | ~spl1_5), 1.80/2.01 inference(avatar_component_clause,[],[f124])). 1.80/2.01 fof(f126,plain,( 1.80/2.01 ~spl1_5 | spl1_3), 1.80/2.01 inference(avatar_split_clause,[],[f111,f95,f124])). 1.80/2.01 fof(f135,plain,( 1.80/2.01 ( ! [X6,X4,X5] : (~'>='('==>'(X6,X5),'==>'(X6,X4)) | ~'>='(X4,X5) | '==>'(X6,X4) = '==>'(X6,X5)) )), 1.80/2.01 inference(resolution,[],[f44,f41])). 1.80/2.01 fof(f175,plain,( 1.80/2.01 ( ! [X0,X1] : ('>='('+'(X0,X1),'+'('0',X1))) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f35,f45])). 1.80/2.01 fof(f181,plain,( 1.80/2.01 ( ! [X0,X1] : ('>='(X0,'+'(X1,X0)) | ~'>='(X0,X1)) )), 1.80/2.01 inference(superposition,[],[f45,f37])). 1.80/2.01 fof(f187,plain,( 1.80/2.01 ( ! [X14,X15] : ('>='(X14,'+'(X15,X14)) | ~'>='('0',X15)) )), 1.80/2.01 inference(superposition,[],[f45,f57])). 1.80/2.01 fof(f193,plain,( 1.80/2.01 ( ! [X12,X13] : ('>='('+'(X13,X12),'1') | ~'>='(X13,'1')) )), 1.80/2.01 inference(superposition,[],[f45,f56])). 1.80/2.01 fof(f195,plain,( 1.80/2.01 ( ! [X0,X1] : ('>='('+'(X0,X1),X1)) )), 1.80/2.01 inference(forward_demodulation,[],[f175,f57])). 1.80/2.01 fof(f215,plain,( 1.80/2.01 ( ! [X2,X1] : ('>='('+'(X2,X1),X2)) )), 1.80/2.01 inference(superposition,[],[f195,f39])). 1.80/2.01 fof(f219,plain,( 1.80/2.01 ( ! [X7] : ('>='('1',X7)) )), 1.80/2.01 inference(superposition,[],[f195,f56])). 1.80/2.01 fof(f229,plain,( 1.80/2.01 ( ! [X0,X1] : ('>='('==>'(X0,'1'),'==>'(X0,X1))) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f219,f44])). 1.80/2.01 fof(f238,plain,( 1.80/2.01 ~'>='('0','1') | ~spl1_3), 1.80/2.01 inference(unit_resulting_resolution,[],[f96,f219,f46])). 1.80/2.01 fof(f239,plain,( 1.80/2.01 ~'>='('0','1') | ~spl1_5), 1.80/2.01 inference(unit_resulting_resolution,[],[f125,f219,f46])). 1.80/2.01 fof(f244,plain,( 1.80/2.01 ( ! [X2] : (~'>='(X2,'1') | '1' = X2) )), 1.80/2.01 inference(resolution,[],[f219,f41])). 1.80/2.01 fof(f250,plain,( 1.80/2.01 spl1_7 <=> ~'>='('0','1')), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])). 1.80/2.01 fof(f251,plain,( 1.80/2.01 ~'>='('0','1') | ~spl1_7), 1.80/2.01 inference(avatar_component_clause,[],[f250])). 1.80/2.01 fof(f252,plain,( 1.80/2.01 ~spl1_7 | spl1_5), 1.80/2.01 inference(avatar_split_clause,[],[f239,f124,f250])). 1.80/2.01 fof(f253,plain,( 1.80/2.01 ~spl1_7 | spl1_3), 1.80/2.01 inference(avatar_split_clause,[],[f238,f95,f250])). 1.80/2.01 fof(f402,plain,( 1.80/2.01 ( ! [X0,X1] : ('>='('+'(X0,'==>'(X0,X1)),X1)) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f34,f47])). 1.80/2.01 fof(f451,plain,( 1.80/2.01 ( ! [X0] : ('+'(X0,'==>'(X0,'1')) = '1') )), 1.80/2.01 inference(unit_resulting_resolution,[],[f402,f244])). 1.80/2.01 fof(f460,plain,( 1.80/2.01 ( ! [X5] : ('>='('==>'('0',X5),X5)) )), 1.80/2.01 inference(superposition,[],[f402,f57])). 1.80/2.01 fof(f467,plain,( 1.80/2.01 '==>'('0','1') = '1'), 1.80/2.01 inference(unit_resulting_resolution,[],[f219,f460,f41])). 1.80/2.01 fof(f468,plain,( 1.80/2.01 '==>'('0','1') = '1'), 1.80/2.01 inference(unit_resulting_resolution,[],[f219,f460,f41])). 1.80/2.01 fof(f484,plain,( 1.80/2.01 ~'>='('0','==>'('0','==>'('==>'('==>'(sK0,'1'),sK0),sK0))) | ~spl1_3), 1.80/2.01 inference(unit_resulting_resolution,[],[f96,f460,f46])). 1.80/2.01 fof(f485,plain,( 1.80/2.01 ~'>='('0','==>'('0','==>'('0',sK0))) | ~spl1_5), 1.80/2.01 inference(unit_resulting_resolution,[],[f125,f460,f46])). 1.80/2.01 fof(f486,plain,( 1.80/2.01 ~'>='('0','==>'('0','1')) | ~spl1_7), 1.80/2.01 inference(unit_resulting_resolution,[],[f251,f460,f46])). 1.80/2.01 fof(f497,plain,( 1.80/2.01 '==>'('0','1') = '1'), 1.80/2.01 inference(unit_resulting_resolution,[],[f460,f244])). 1.80/2.01 fof(f502,plain,( 1.80/2.01 '==>'('0','1') = '1'), 1.80/2.01 inference(resolution,[],[f460,f244])). 1.80/2.01 fof(f509,plain,( 1.80/2.01 spl1_8 <=> '==>'('0','1') = '1'), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 1.80/2.01 fof(f510,plain,( 1.80/2.01 '==>'('0','1') = '1' | ~spl1_8), 1.80/2.01 inference(avatar_component_clause,[],[f509])). 1.80/2.01 fof(f511,plain,( 1.80/2.01 spl1_8), 1.80/2.01 inference(avatar_split_clause,[],[f497,f509])). 1.80/2.01 fof(f516,plain,( 1.80/2.01 spl1_11 <=> ~'>='('0','==>'('0','1'))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])). 1.80/2.01 fof(f518,plain,( 1.80/2.01 ~spl1_11 | spl1_7), 1.80/2.01 inference(avatar_split_clause,[],[f486,f250,f516])). 1.80/2.01 fof(f523,plain,( 1.80/2.01 spl1_13 <=> ~'>='('0','==>'('0','==>'('0',sK0)))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])). 1.80/2.01 fof(f525,plain,( 1.80/2.01 ~spl1_13 | spl1_5), 1.80/2.01 inference(avatar_split_clause,[],[f485,f124,f523])). 1.80/2.01 fof(f530,plain,( 1.80/2.01 spl1_15 <=> ~'>='('0','==>'('0','==>'('==>'('==>'(sK0,'1'),sK0),sK0)))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_15])])). 1.80/2.01 fof(f532,plain,( 1.80/2.01 ~spl1_15 | spl1_3), 1.80/2.01 inference(avatar_split_clause,[],[f484,f95,f530])). 1.80/2.01 fof(f533,plain,( 1.80/2.01 spl1_8), 1.80/2.01 inference(avatar_split_clause,[],[f468,f509])). 1.80/2.01 fof(f534,plain,( 1.80/2.01 spl1_8), 1.80/2.01 inference(avatar_split_clause,[],[f467,f509])). 1.80/2.01 fof(f535,plain,( 1.80/2.01 spl1_8), 1.80/2.01 inference(avatar_split_clause,[],[f502,f509])). 1.80/2.01 fof(f630,plain,( 1.80/2.01 ~'>='('0','==>'('==>'('==>'(sK0,'1'),sK0),'1')) | ~spl1_3), 1.80/2.01 inference(unit_resulting_resolution,[],[f96,f229,f46])). 1.80/2.01 fof(f654,plain,( 1.80/2.01 spl1_17 <=> ~'>='('0','==>'('==>'('==>'(sK0,'1'),sK0),'1'))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_17])])). 1.80/2.01 fof(f656,plain,( 1.80/2.01 ~spl1_17 | spl1_3), 1.80/2.01 inference(avatar_split_clause,[],[f630,f95,f654])). 1.80/2.01 fof(f896,plain,( 1.80/2.01 ~'>='('+'('==>'('==>'(sK0,'1'),sK0),'0'),sK0) | ~spl1_3), 1.80/2.01 inference(unit_resulting_resolution,[],[f96,f48])). 1.80/2.01 fof(f897,plain,( 1.80/2.01 ~'>='('+'('0','0'),sK0) | ~spl1_5), 1.80/2.01 inference(unit_resulting_resolution,[],[f125,f48])). 1.80/2.01 fof(f898,plain,( 1.80/2.01 ( ! [X0,X1] : ('>='(X0,'==>'(X1,X0))) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f195,f48])). 1.80/2.01 fof(f899,plain,( 1.80/2.01 ( ! [X0,X1] : ('>='(X0,'==>'(X1,X1))) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f215,f48])). 1.80/2.01 fof(f904,plain,( 1.80/2.01 ( ! [X0,X1] : ('>='(X0,'==>'(X1,'+'(X1,X0)))) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f34,f48])). 1.80/2.01 fof(f919,plain,( 1.80/2.01 ( ! [X10,X11] : ('>='('0','==>'(X10,X11)) | ~'>='(X10,X11)) )), 1.80/2.01 inference(superposition,[],[f48,f36])). 1.80/2.01 fof(f920,plain,( 1.80/2.01 ( ! [X12,X13] : (~'>='('1',X13) | '>='(X12,'==>'('1',X13))) )), 1.80/2.01 inference(superposition,[],[f48,f56])). 1.80/2.01 fof(f922,plain,( 1.80/2.01 ~'>='('0',sK0) | ~spl1_5), 1.80/2.01 inference(forward_demodulation,[],[f897,f36])). 1.80/2.01 fof(f927,plain,( 1.80/2.01 spl1_19 <=> ~'>='('0',sK0)), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_19])])). 1.80/2.01 fof(f928,plain,( 1.80/2.01 ~'>='('0',sK0) | ~spl1_19), 1.80/2.01 inference(avatar_component_clause,[],[f927])). 1.80/2.01 fof(f929,plain,( 1.80/2.01 ~spl1_19 | spl1_5), 1.80/2.01 inference(avatar_split_clause,[],[f922,f124,f927])). 1.80/2.01 fof(f930,plain,( 1.80/2.01 ~'>='('==>'('==>'(sK0,'1'),sK0),sK0) | ~spl1_3), 1.80/2.01 inference(forward_demodulation,[],[f896,f36])). 1.80/2.01 fof(f935,plain,( 1.80/2.01 spl1_21 <=> ~'>='('==>'('==>'(sK0,'1'),sK0),sK0)), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_21])])). 1.80/2.01 fof(f936,plain,( 1.80/2.01 ~'>='('==>'('==>'(sK0,'1'),sK0),sK0) | ~spl1_21), 1.80/2.01 inference(avatar_component_clause,[],[f935])). 1.80/2.01 fof(f937,plain,( 1.80/2.01 ~spl1_21 | spl1_3), 1.80/2.01 inference(avatar_split_clause,[],[f930,f95,f935])). 1.80/2.01 fof(f938,plain,( 1.80/2.01 ( ! [X12,X13] : ('>='(X12,'==>'('1',X13))) )), 1.80/2.01 inference(subsumption_resolution,[],[f920,f219])). 1.80/2.01 fof(f1089,plain,( 1.80/2.01 ( ! [X0] : ('==>'('0',X0) = X0) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f460,f898,f41])). 1.80/2.01 fof(f1324,plain,( 1.80/2.01 ( ! [X0] : ('==>'('1',X0) = '0') )), 1.80/2.01 inference(unit_resulting_resolution,[],[f938,f77])). 1.80/2.01 fof(f1432,plain,( 1.80/2.01 ( ! [X0] : ('==>'(X0,X0) = '0') )), 1.80/2.01 inference(unit_resulting_resolution,[],[f899,f77])). 1.80/2.01 fof(f1505,plain,( 1.80/2.01 ( ! [X5] : ('==>'('0',X5) = '==>'('==>'(X5,'1'),'1')) )), 1.80/2.01 inference(superposition,[],[f40,f1324])). 1.80/2.01 fof(f1521,plain,( 1.80/2.01 ( ! [X19,X20] : ('>='(X20,'==>'('==>'(X20,X19),X19))) )), 1.80/2.01 inference(superposition,[],[f898,f40])). 1.80/2.01 fof(f1536,plain,( 1.80/2.01 ( ! [X5] : ('==>'('==>'(X5,'1'),'1') = X5) )), 1.80/2.01 inference(forward_demodulation,[],[f1505,f1089])). 1.80/2.01 fof(f1634,plain,( 1.80/2.01 ( ! [X2,X1] : ('>='(X2,'==>'(X1,'+'(X2,X1)))) )), 1.80/2.01 inference(superposition,[],[f904,f39])). 1.80/2.01 fof(f1870,plain,( 1.80/2.01 ~'>='('0','==>'(sK0,'1')) | ~spl1_3), 1.80/2.01 inference(unit_resulting_resolution,[],[f96,f1521,f46])). 1.80/2.01 fof(f1893,plain,( 1.80/2.01 spl1_23 <=> ~'>='('0','==>'(sK0,'1'))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_23])])). 1.80/2.01 fof(f1894,plain,( 1.80/2.01 ~'>='('0','==>'(sK0,'1')) | ~spl1_23), 1.80/2.01 inference(avatar_component_clause,[],[f1893])). 1.80/2.01 fof(f1895,plain,( 1.80/2.01 ~spl1_23 | spl1_3), 1.80/2.01 inference(avatar_split_clause,[],[f1870,f95,f1893])). 1.80/2.01 fof(f1925,plain,( 1.80/2.01 ( ! [X6,X7,X5] : ('+'(X5,'+'(X6,X7)) = '+'(X7,'+'(X5,X6))) )), 1.80/2.01 inference(superposition,[],[f42,f39])). 1.80/2.01 fof(f1954,plain,( 1.80/2.01 ~'>='('+'(sK0,'0'),'1') | ~spl1_23), 1.80/2.01 inference(unit_resulting_resolution,[],[f1894,f48])). 1.80/2.01 fof(f1983,plain,( 1.80/2.01 ~'>='(sK0,'1') | ~spl1_23), 1.80/2.01 inference(forward_demodulation,[],[f1954,f36])). 1.80/2.01 fof(f1988,plain,( 1.80/2.01 spl1_25 <=> ~'>='(sK0,'1')), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_25])])). 1.80/2.01 fof(f1989,plain,( 1.80/2.01 ~'>='(sK0,'1') | ~spl1_25), 1.80/2.01 inference(avatar_component_clause,[],[f1988])). 1.80/2.01 fof(f1990,plain,( 1.80/2.01 ~spl1_25 | spl1_23), 1.80/2.01 inference(avatar_split_clause,[],[f1983,f1893,f1988])). 1.80/2.01 fof(f2102,plain,( 1.80/2.01 ( ! [X0] : ('+'('==>'(X0,'1'),'==>'('==>'('1',X0),X0)) = '1') )), 1.80/2.01 inference(superposition,[],[f451,f40])). 1.80/2.01 fof(f2126,plain,( 1.80/2.01 ( ! [X0] : ('+'('==>'(X0,'1'),'==>'('0',X0)) = '1') )), 1.80/2.01 inference(forward_demodulation,[],[f2102,f1324])). 1.80/2.01 fof(f2127,plain,( 1.80/2.01 ( ! [X0] : ('+'('==>'(X0,'1'),X0) = '1') )), 1.80/2.01 inference(forward_demodulation,[],[f2126,f1089])). 1.80/2.01 fof(f2324,plain,( 1.80/2.01 ( ! [X4,X3] : (~'>='(X3,X4) | ~'>='('+'(X4,X3),X3) | '+'(X4,X3) = X3) )), 1.80/2.01 inference(resolution,[],[f181,f41])). 1.80/2.01 fof(f2329,plain,( 1.80/2.01 ( ! [X2,X1] : ('>='(X2,'+'(X2,X1)) | ~'>='(X2,X1)) )), 1.80/2.01 inference(superposition,[],[f181,f39])). 1.80/2.01 fof(f2351,plain,( 1.80/2.01 ( ! [X4,X3] : ('+'(X4,X3) = X3 | ~'>='(X3,X4)) )), 1.80/2.01 inference(subsumption_resolution,[],[f2324,f195])). 1.80/2.01 fof(f3219,plain,( 1.80/2.01 ( ! [X0,X1] : ('==>'(X0,X1) = '0' | ~'>='(X0,X1)) )), 1.80/2.01 inference(resolution,[],[f919,f77])). 1.80/2.01 fof(f3221,plain,( 1.80/2.01 ( ! [X6,X4,X5] : (~'>='(X4,X5) | ~'>='(X6,'0') | '>='(X6,'==>'(X4,X5))) )), 1.80/2.01 inference(resolution,[],[f919,f46])). 1.80/2.01 fof(f3228,plain,( 1.80/2.01 ( ! [X8] : (~'>='('==>'(X8,'1'),'1') | '>='('0',X8)) )), 1.80/2.01 inference(superposition,[],[f919,f1536])). 1.80/2.01 fof(f3237,plain,( 1.80/2.01 ( ! [X6,X4,X5] : ('>='(X6,'==>'(X4,X5)) | ~'>='(X4,X5)) )), 1.80/2.01 inference(subsumption_resolution,[],[f3221,f35])). 1.80/2.01 fof(f3571,plain,( 1.80/2.01 ( ! [X4,X3] : (~'>='('0',X3) | ~'>='('+'(X3,X4),X4) | '+'(X3,X4) = X4) )), 1.80/2.01 inference(resolution,[],[f187,f41])). 1.80/2.01 fof(f3577,plain,( 1.80/2.01 ( ! [X2,X1] : ('>='(X2,'+'(X2,X1)) | ~'>='('0',X1)) )), 1.80/2.01 inference(superposition,[],[f187,f39])). 1.80/2.01 fof(f3606,plain,( 1.80/2.01 ( ! [X4,X3] : ('+'(X3,X4) = X4 | ~'>='('0',X3)) )), 1.80/2.01 inference(subsumption_resolution,[],[f3571,f195])). 1.80/2.01 fof(f3817,plain,( 1.80/2.01 ( ! [X6,X5] : (~'>='(X5,X6) | ~'>='('+'(X5,X6),X5) | '+'(X5,X6) = X5) )), 1.80/2.01 inference(resolution,[],[f2329,f41])). 1.80/2.01 fof(f3856,plain,( 1.80/2.01 ( ! [X6,X5] : ('+'(X5,X6) = X5 | ~'>='(X5,X6)) )), 1.80/2.01 inference(subsumption_resolution,[],[f3817,f215])). 1.80/2.01 fof(f3860,plain,( 1.80/2.01 ( ! [X0,X1] : ('+'('==>'(X0,X1),X1) = X1) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f898,f2351])). 1.80/2.01 fof(f3875,plain,( 1.80/2.01 ( ! [X0,X1] : ('+'(X0,'==>'(X0,X1)) = '+'(X1,'+'(X0,'==>'(X0,X1)))) )), 1.80/2.01 inference(unit_resulting_resolution,[],[f402,f2351])). 1.80/2.01 fof(f4110,plain,( 1.80/2.01 '==>'('0',sK0) != '0' | ~'>='('==>'(sK0,'1'),sK0) | ~spl1_1), 1.80/2.01 inference(superposition,[],[f54,f3219])). 1.80/2.01 fof(f4145,plain,( 1.80/2.01 '0' != sK0 | ~'>='('==>'(sK0,'1'),sK0) | ~spl1_1), 1.80/2.01 inference(forward_demodulation,[],[f4110,f1089])). 1.80/2.01 fof(f4146,plain,( 1.80/2.01 '0' != sK0 | ~'>='('==>'('0','1'),'0') | ~spl1_1), 1.80/2.01 inference(inner_rewriting,[],[f4145])). 1.80/2.01 fof(f4147,plain,( 1.80/2.01 '0' != sK0 | ~spl1_1), 1.80/2.01 inference(subsumption_resolution,[],[f4146,f35])). 1.80/2.01 fof(f4152,plain,( 1.80/2.01 spl1_27 <=> '0' != sK0), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_27])])). 1.80/2.01 fof(f4154,plain,( 1.80/2.01 ~spl1_27 | spl1_1), 1.80/2.01 inference(avatar_split_clause,[],[f4147,f53,f4152])). 1.80/2.01 fof(f4288,plain,( 1.80/2.01 ( ! [X28,X27] : (~'>='('0',X27) | '>='(X28,X27)) )), 1.80/2.01 inference(superposition,[],[f3237,f1089])). 1.80/2.01 fof(f4467,plain,( 1.80/2.01 ( ! [X8,X7] : (~'>='('0',X7) | ~'>='('+'(X8,X7),X8) | '+'(X8,X7) = X8) )), 1.80/2.01 inference(resolution,[],[f3577,f41])). 1.80/2.01 fof(f4512,plain,( 1.80/2.01 ( ! [X8,X7] : ('+'(X8,X7) = X8 | ~'>='('0',X7)) )), 1.80/2.01 inference(subsumption_resolution,[],[f4467,f215])). 1.80/2.01 fof(f4544,plain,( 1.80/2.01 ( ! [X30,X29] : ('>='(X30,'1') | ~'>='(X29,'1') | ~'>='('0',X29)) )), 1.80/2.01 inference(superposition,[],[f193,f3606])). 1.80/2.01 fof(f4595,plain,( 1.80/2.01 spl1_28 <=> ! [X29] : (~'>='(X29,'1') | ~'>='('0',X29))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_28])])). 1.80/2.01 fof(f4598,plain,( 1.80/2.01 spl1_30 <=> ! [X30] : '>='(X30,'1')), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_30])])). 1.80/2.01 fof(f4600,plain,( 1.80/2.01 spl1_28 | spl1_30), 1.80/2.01 inference(avatar_split_clause,[],[f4544,f4598,f4595])). 1.80/2.01 fof(f4953,plain,( 1.80/2.01 ( ! [X87,X86] : (~'>='(X86,'==>'(X86,X87)) | '>='(X86,X87)) )), 1.80/2.01 inference(superposition,[],[f402,f3856])). 1.80/2.01 fof(f5422,plain,( 1.80/2.01 ( ! [X97,X96] : (~'>='('0','==>'(X96,X97)) | '>='(X96,X97)) )), 1.80/2.01 inference(superposition,[],[f402,f4512])). 1.80/2.01 fof(f5611,plain,( 1.80/2.01 ~'>='(sK0,'==>'(sK0,'1')) | ~spl1_25), 1.80/2.01 inference(unit_resulting_resolution,[],[f1989,f4953])). 1.80/2.01 fof(f5618,plain,( 1.80/2.01 ~'>='('==>'('==>'(sK0,'1'),sK0),'==>'('==>'('==>'(sK0,'1'),sK0),sK0)) | ~spl1_21), 1.80/2.01 inference(unit_resulting_resolution,[],[f936,f4953])). 1.80/2.01 fof(f5662,plain,( 1.80/2.01 spl1_33 <=> ~'>='('==>'('==>'(sK0,'1'),sK0),'==>'('==>'('==>'(sK0,'1'),sK0),sK0))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_33])])). 1.80/2.01 fof(f5663,plain,( 1.80/2.01 ~'>='('==>'('==>'(sK0,'1'),sK0),'==>'('==>'('==>'(sK0,'1'),sK0),sK0)) | ~spl1_33), 1.80/2.01 inference(avatar_component_clause,[],[f5662])). 1.80/2.01 fof(f5664,plain,( 1.80/2.01 ~spl1_33 | spl1_21), 1.80/2.01 inference(avatar_split_clause,[],[f5618,f935,f5662])). 1.80/2.01 fof(f5669,plain,( 1.80/2.01 spl1_35 <=> ~'>='(sK0,'==>'(sK0,'1'))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_35])])). 1.80/2.01 fof(f5670,plain,( 1.80/2.01 ~'>='(sK0,'==>'(sK0,'1')) | ~spl1_35), 1.80/2.01 inference(avatar_component_clause,[],[f5669])). 1.80/2.01 fof(f5671,plain,( 1.80/2.01 ~spl1_35 | spl1_25), 1.80/2.01 inference(avatar_split_clause,[],[f5611,f1988,f5669])). 1.80/2.01 fof(f5689,plain,( 1.80/2.01 ~'>='(sK0,'==>'(sK0,'==>'(sK0,'1'))) | ~spl1_35), 1.80/2.01 inference(unit_resulting_resolution,[],[f5670,f4953])). 1.80/2.01 fof(f5724,plain,( 1.80/2.01 spl1_37 <=> ~'>='(sK0,'==>'(sK0,'==>'(sK0,'1')))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_37])])). 1.80/2.01 fof(f5725,plain,( 1.80/2.01 ~'>='(sK0,'==>'(sK0,'==>'(sK0,'1'))) | ~spl1_37), 1.80/2.01 inference(avatar_component_clause,[],[f5724])). 1.80/2.01 fof(f5726,plain,( 1.80/2.01 ~spl1_37 | spl1_35), 1.80/2.01 inference(avatar_split_clause,[],[f5689,f5669,f5724])). 1.80/2.01 fof(f5930,plain,( 1.80/2.01 ~'>='(sK0,'==>'(sK0,'==>'(sK0,'==>'(sK0,'1')))) | ~spl1_37), 1.80/2.01 inference(unit_resulting_resolution,[],[f5725,f4953])). 1.80/2.01 fof(f5932,plain,( 1.80/2.01 ~'>='('0','==>'(sK0,'==>'(sK0,'1'))) | ~spl1_37), 1.80/2.01 inference(unit_resulting_resolution,[],[f5725,f4288])). 1.80/2.01 fof(f5942,plain,( 1.80/2.01 ~'>='('0','==>'(sK0,'==>'(sK0,'1'))) | ~spl1_37), 1.80/2.01 inference(unit_resulting_resolution,[],[f35,f5725,f46])). 1.80/2.01 fof(f5966,plain,( 1.80/2.01 spl1_39 <=> ~'>='('0','==>'(sK0,'==>'(sK0,'1')))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_39])])). 1.80/2.01 fof(f5967,plain,( 1.80/2.01 ~'>='('0','==>'(sK0,'==>'(sK0,'1'))) | ~spl1_39), 1.80/2.01 inference(avatar_component_clause,[],[f5966])). 1.80/2.01 fof(f5968,plain,( 1.80/2.01 ~spl1_39 | spl1_37), 1.80/2.01 inference(avatar_split_clause,[],[f5942,f5724,f5966])). 1.80/2.01 fof(f5969,plain,( 1.80/2.01 ~spl1_39 | spl1_37), 1.80/2.01 inference(avatar_split_clause,[],[f5932,f5724,f5966])). 1.80/2.01 fof(f5974,plain,( 1.80/2.01 spl1_41 <=> ~'>='(sK0,'==>'(sK0,'==>'(sK0,'==>'(sK0,'1'))))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_41])])). 1.80/2.01 fof(f5976,plain,( 1.80/2.01 ~spl1_41 | spl1_37), 1.80/2.01 inference(avatar_split_clause,[],[f5930,f5724,f5974])). 1.80/2.01 fof(f6029,plain,( 1.80/2.01 ~'>='('==>'('==>'('==>'('==>'(sK0,'1'),sK0),sK0),'1'),'1') | ~spl1_3), 1.80/2.01 inference(unit_resulting_resolution,[],[f96,f3228])). 1.80/2.01 fof(f6031,plain,( 1.80/2.01 ~'>='('==>'('==>'(sK0,'==>'(sK0,'1')),'1'),'1') | ~spl1_39), 1.80/2.01 inference(unit_resulting_resolution,[],[f5967,f3228])). 1.80/2.01 fof(f6040,plain,( 1.80/2.01 ~'>='('==>'(sK0,'1'),'1') | ~spl1_19), 1.80/2.01 inference(unit_resulting_resolution,[],[f928,f3228])). 1.80/2.01 fof(f6058,plain,( 1.80/2.01 spl1_43 <=> ~'>='('==>'(sK0,'1'),'1')), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_43])])). 1.80/2.01 fof(f6059,plain,( 1.80/2.01 ~'>='('==>'(sK0,'1'),'1') | ~spl1_43), 1.80/2.01 inference(avatar_component_clause,[],[f6058])). 1.80/2.01 fof(f6060,plain,( 1.80/2.01 ~spl1_43 | spl1_19), 1.80/2.01 inference(avatar_split_clause,[],[f6040,f927,f6058])). 1.80/2.01 fof(f6066,plain,( 1.80/2.01 spl1_45 <=> ~'>='('==>'('==>'(sK0,'==>'(sK0,'1')),'1'),'1')), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_45])])). 1.80/2.01 fof(f6068,plain,( 1.80/2.01 ~spl1_45 | spl1_39), 1.80/2.01 inference(avatar_split_clause,[],[f6031,f5966,f6066])). 1.80/2.01 fof(f6073,plain,( 1.80/2.01 spl1_47 <=> ~'>='('==>'('==>'('==>'('==>'(sK0,'1'),sK0),sK0),'1'),'1')), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_47])])). 1.80/2.01 fof(f6074,plain,( 1.80/2.01 ~'>='('==>'('==>'('==>'('==>'(sK0,'1'),sK0),sK0),'1'),'1') | ~spl1_47), 1.80/2.01 inference(avatar_component_clause,[],[f6073])). 1.80/2.01 fof(f6075,plain,( 1.80/2.01 ~spl1_47 | spl1_3), 1.80/2.01 inference(avatar_split_clause,[],[f6029,f95,f6073])). 1.80/2.01 fof(f6078,plain,( 1.80/2.01 ~'>='('==>'(sK0,'1'),'==>'('==>'(sK0,'1'),'1')) | ~spl1_43), 1.80/2.01 inference(unit_resulting_resolution,[],[f6059,f4953])). 1.80/2.01 fof(f6115,plain,( 1.80/2.01 ~'>='('==>'(sK0,'1'),'==>'('==>'('1',sK0),sK0)) | ~spl1_43), 1.80/2.01 inference(forward_demodulation,[],[f6078,f40])). 1.80/2.01 fof(f6116,plain,( 1.80/2.01 ~'>='('==>'(sK0,'1'),'==>'('0',sK0)) | ~spl1_43), 1.80/2.01 inference(forward_demodulation,[],[f6115,f1324])). 1.80/2.01 fof(f6117,plain,( 1.80/2.01 ~'>='('==>'(sK0,'1'),sK0) | ~spl1_43), 1.80/2.01 inference(forward_demodulation,[],[f6116,f1089])). 1.80/2.01 fof(f6122,plain,( 1.80/2.01 spl1_49 <=> ~'>='('==>'(sK0,'1'),sK0)), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_49])])). 1.80/2.01 fof(f6123,plain,( 1.80/2.01 ~'>='('==>'(sK0,'1'),sK0) | ~spl1_49), 1.80/2.01 inference(avatar_component_clause,[],[f6122])). 1.80/2.01 fof(f6124,plain,( 1.80/2.01 ~spl1_49 | spl1_43), 1.80/2.01 inference(avatar_split_clause,[],[f6117,f6058,f6122])). 1.80/2.01 fof(f6163,plain,( 1.80/2.01 ~'>='('==>'(sK0,'1'),'==>'('==>'(sK0,'1'),sK0)) | ~spl1_49), 1.80/2.01 inference(unit_resulting_resolution,[],[f6123,f4953])). 1.80/2.01 fof(f6193,plain,( 1.80/2.01 spl1_51 <=> ~'>='('==>'(sK0,'1'),'==>'('==>'(sK0,'1'),sK0))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_51])])). 1.80/2.01 fof(f6195,plain,( 1.80/2.01 ~spl1_51 | spl1_49), 1.80/2.01 inference(avatar_split_clause,[],[f6163,f6122,f6193])). 1.80/2.01 fof(f8230,plain,( 1.80/2.01 ( ! [X50,X48,X49] : ('+'(X50,X49) = '+'(X49,'+'(X50,'==>'(X48,X49)))) )), 1.80/2.01 inference(superposition,[],[f1925,f3860])). 1.80/2.01 fof(f8429,plain,( 1.80/2.01 ( ! [X0,X1] : ('+'(X0,X1) = '+'(X0,'==>'(X0,X1))) )), 1.80/2.01 inference(backward_demodulation,[],[f8230,f3875])). 1.80/2.01 fof(f8563,plain,( 1.80/2.01 ~'>='('0','==>'(sK0,'==>'(sK0,'==>'(sK0,'1')))) | ~spl1_37), 1.80/2.01 inference(unit_resulting_resolution,[],[f5725,f5422])). 1.80/2.01 fof(f8582,plain,( 1.80/2.01 ~'>='('0','==>'('==>'(sK0,'1'),sK0)) | ~spl1_49), 1.80/2.01 inference(unit_resulting_resolution,[],[f6123,f5422])). 1.80/2.01 fof(f8639,plain,( 1.80/2.01 spl1_53 <=> ~'>='('0','==>'('==>'(sK0,'1'),sK0))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_53])])). 1.80/2.01 fof(f8641,plain,( 1.80/2.01 ~spl1_53 | spl1_49), 1.80/2.01 inference(avatar_split_clause,[],[f8582,f6122,f8639])). 1.80/2.01 fof(f8649,plain,( 1.80/2.01 spl1_55 <=> ~'>='('0','==>'(sK0,'==>'(sK0,'==>'(sK0,'1'))))), 1.80/2.01 introduced(avatar_definition,[new_symbols(naming,[spl1_55])])). 1.80/2.01 fof(f8651,plain,( 1.80/2.01 ~spl1_55 | spl1_37), 1.80/2.01 inference(avatar_split_clause,[],[f8563,f5724,f8649])). 1.80/2.01 fof(f35030,plain,( 1.80/2.01 ( ! [X59,X60] : (~'>='('+'('==>'(X59,X60),X59),X60) | '==>'(X59,X60) = '==>'(X59,'+'('==>'(X59,X60),X59))) )), 1.80/2.01 inference(resolution,[],[f135,f1634])). 1.80/2.01 fof(f35353,plain,( 1.80/2.01 ( ! [X59,X60] : (~'>='('+'(X59,'==>'(X59,X60)),X60) | '==>'(X59,X60) = '==>'(X59,'+'('==>'(X59,X60),X59))) )), 1.80/2.01 inference(forward_demodulation,[],[f35030,f39])). 1.80/2.01 fof(f35354,plain,( 1.80/2.01 ( ! [X59,X60] : (~'>='('+'(X59,X60),X60) | '==>'(X59,X60) = '==>'(X59,'+'('==>'(X59,X60),X59))) )), 1.80/2.01 inference(forward_demodulation,[],[f35353,f8429])). 1.80/2.01 fof(f35355,plain,( 1.80/2.01 ( ! [X59,X60] : ('==>'(X59,X60) = '==>'(X59,'+'('==>'(X59,X60),X59))) )), 1.80/2.01 inference(subsumption_resolution,[],[f35354,f195])). 1.80/2.01 fof(f35356,plain,( 1.80/2.01 ( ! [X59,X60] : ('==>'(X59,X60) = '==>'(X59,'+'(X59,'==>'(X59,X60)))) )), 1.80/2.01 inference(forward_demodulation,[],[f35355,f39])). 1.80/2.01 fof(f35357,plain,( 1.80/2.01 ( ! [X59,X60] : ('==>'(X59,X60) = '==>'(X59,'+'(X59,X60))) )), 1.80/2.01 inference(forward_demodulation,[],[f35356,f8429])). 1.80/2.01 fof(f36220,plain,( 1.80/2.01 ( ! [X42] : ('==>'('==>'(X42,'1'),'1') = '==>'('==>'(X42,'1'),X42)) )), 1.80/2.01 inference(superposition,[],[f35357,f2127])). 1.80/2.01 fof(f37189,plain,( 1.80/2.01 ( ! [X42] : ('==>'('==>'(X42,'1'),X42) = X42) )), 1.80/2.01 inference(forward_demodulation,[],[f36220,f1536])). 1.80/2.01 fof(f37190,plain,( 1.80/2.01 '==>'(sK0,sK0) != '0' | ~spl1_1), 1.80/2.01 inference(backward_demodulation,[],[f37189,f54])). 1.80/2.01 fof(f37191,plain,( 1.80/2.01 ~'>='('0','==>'(sK0,sK0)) | ~spl1_3), 1.80/2.01 inference(backward_demodulation,[],[f37189,f96])). 1.80/2.01 fof(f37197,plain,( 1.80/2.01 ~'>='(sK0,sK0) | ~spl1_21), 1.80/2.01 inference(backward_demodulation,[],[f37189,f936])). 1.80/2.01 fof(f37206,plain,( 1.80/2.01 ~'>='(sK0,'==>'(sK0,sK0)) | ~spl1_33), 1.80/2.01 inference(backward_demodulation,[],[f37189,f5663])). 1.80/2.01 fof(f37207,plain,( 1.80/2.01 ~'>='('==>'('==>'(sK0,sK0),'1'),'1') | ~spl1_47), 1.80/2.01 inference(backward_demodulation,[],[f37189,f6074])). 1.80/2.01 fof(f37246,plain,( 1.80/2.01 $false | ~spl1_1), 1.80/2.01 inference(subsumption_resolution,[],[f37190,f1432])). 1.80/2.01 fof(f37247,plain,( 1.80/2.01 spl1_1), 1.80/2.01 inference(avatar_contradiction_clause,[],[f37246])). 1.80/2.01 fof(f37248,plain,( 1.80/2.01 ~'>='('0','0') | ~spl1_3), 1.80/2.01 inference(forward_demodulation,[],[f37191,f1432])). 1.80/2.01 fof(f37249,plain,( 1.80/2.01 $false | ~spl1_3), 1.80/2.01 inference(subsumption_resolution,[],[f37248,f35])). 1.80/2.01 fof(f37250,plain,( 1.80/2.01 spl1_3), 1.80/2.01 inference(avatar_contradiction_clause,[],[f37249])). 1.80/2.01 fof(f37253,plain,( 1.80/2.01 $false | ~spl1_21), 1.80/2.01 inference(subsumption_resolution,[],[f37197,f34])). 1.80/2.01 fof(f37254,plain,( 1.80/2.01 spl1_21), 1.80/2.01 inference(avatar_contradiction_clause,[],[f37253])). 1.80/2.01 fof(f37255,plain,( 1.80/2.01 $false | ~spl1_33), 1.80/2.01 inference(subsumption_resolution,[],[f37206,f898])). 1.80/2.01 fof(f37256,plain,( 1.80/2.01 spl1_33), 1.80/2.01 inference(avatar_contradiction_clause,[],[f37255])). 1.80/2.01 fof(f37257,plain,( 1.80/2.01 ~'>='('==>'('0','1'),'1') | ~spl1_47), 1.80/2.01 inference(forward_demodulation,[],[f37207,f1432])). 1.80/2.01 fof(f37258,plain,( 1.80/2.01 ~'>='('1','1') | (~spl1_8 | ~spl1_47)), 1.80/2.01 inference(forward_demodulation,[],[f37257,f510])). 1.80/2.01 fof(f37259,plain,( 1.80/2.01 $false | (~spl1_8 | ~spl1_47)), 1.80/2.01 inference(subsumption_resolution,[],[f37258,f219])). 1.80/2.01 fof(f37260,plain,( 1.80/2.01 ~spl1_8 | spl1_47), 1.80/2.01 inference(avatar_contradiction_clause,[],[f37259])). 1.80/2.01 fof(f37328,plain,( 1.80/2.01 $false), 1.80/2.01 inference(avatar_sat_refutation,[],[f55,f97,f98,f99,f126,f252,f253,f511,f518,f525,f532,f533,f534,f535,f656,f929,f937,f1895,f1990,f4154,f4600,f5664,f5671,f5726,f5968,f5969,f5976,f6060,f6068,f6075,f6124,f6195,f8641,f8651,f37247,f37250,f37254,f37256,f37260])). 1.80/2.01 % SZS output end Proof for theBenchmark 1.80/2.01 % ------------------------------ 1.80/2.01 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.80/2.01 % Termination reason: Refutation 1.80/2.01 1.80/2.01 % Memory used [KB]: 19061 1.80/2.01 % Time elapsed: 1.160 s 1.80/2.01 % ------------------------------ 1.80/2.01 % ------------------------------ 1.80/2.01 % Success in time 1.765 s 1.84/2.10 EOF