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 : n064.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 04:59:10 CDT 2018 0.03/0.23 % CPUTime : 0.07/0.27 % ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.56/0.77 % Time limit reached! 0.56/0.77 % ------------------------------ 0.56/0.77 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.56/0.77 % Termination reason: Time limit 0.56/0.77 % Termination phase: Saturation 0.56/0.77 0.56/0.77 % Memory used [KB]: 11769 0.56/0.77 % Time elapsed: 0.500 s 0.56/0.77 % ------------------------------ 0.56/0.77 % ------------------------------ 0.60/0.80 % 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 0.60/0.80 % Refutation not found, incomplete strategy 0.60/0.80 % ------------------------------ 0.60/0.80 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.60/0.80 % Termination reason: Refutation not found, incomplete strategy 0.60/0.80 0.60/0.80 % Memory used [KB]: 5117 0.60/0.80 % Time elapsed: 0.001 s 0.60/0.80 % ------------------------------ 0.60/0.80 % ------------------------------ 0.60/0.84 % 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 0.63/0.91 % Refutation found. Thanks to Tanya! 0.63/0.91 % SZS status Theorem for theBenchmark 0.63/0.91 % SZS output start Proof for theBenchmark 0.63/0.91 fof(f1,axiom,( 0.63/0.91 ! [X0] : '==>'('==>'('==>'(X0,'1'),X0),X0) = '0'), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13)). 0.63/0.91 fof(f2,axiom,( 0.63/0.91 ! [X1,X2] : (('>='(X1,X2) & '>='(X2,X1)) => X1 = X2)), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06)). 0.63/0.91 fof(f3,axiom,( 0.63/0.91 ! [X0] : '>='(X0,X0)), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)). 0.63/0.91 fof(f4,axiom,( 0.63/0.91 ! [X0,X3] : '+'(X0,X3) = '+'(X3,X0)), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02)). 0.63/0.91 fof(f5,axiom,( 0.63/0.91 ! [X4,X5,X6] : ('>='('+'(X4,X5),X6) <=> '>='(X5,'==>'(X4,X6)))), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)). 0.63/0.91 fof(f6,axiom,( 0.63/0.91 ! [X7,X8,X9] : ('>='(X7,X8) => '>='('==>'(X9,X7),'==>'(X9,X8)))), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11)). 0.63/0.91 fof(f7,axiom,( 0.63/0.91 ! [X10,X11,X12] : (('>='(X11,X12) & '>='(X10,X11)) => '>='(X10,X12))), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05)). 0.63/0.91 fof(f8,axiom,( 0.63/0.91 ! [X0] : '1' = '+'(X0,'1')), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12)). 0.63/0.91 fof(f9,axiom,( 0.63/0.91 ! [X0] : '>='(X0,'0')), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08)). 0.63/0.91 fof(f11,axiom,( 0.63/0.91 ! [X14,X15,X16] : ('>='(X14,X15) => '>='('==>'(X15,X16),'==>'(X14,X16)))), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10)). 0.63/0.91 fof(f12,axiom,( 0.63/0.91 ! [X17,X18,X19] : ('>='(X17,X18) => '>='('+'(X17,X19),'+'(X18,X19)))), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09)). 0.63/0.91 fof(f13,conjecture,( 0.63/0.91 ! [X20] : '==>'('==>'(X20,'1'),'1') = X20), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14)). 0.63/0.91 fof(f14,negated_conjecture,( 0.63/0.91 ~! [X20] : '==>'('==>'(X20,'1'),'1') = X20), 0.63/0.91 inference(negated_conjecture,[],[f13])). 0.63/0.91 fof(f15,axiom,( 0.63/0.91 ! [X0] : '+'(X0,'0') = X0), 0.63/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03)). 0.63/0.91 fof(f16,plain,( 0.63/0.91 ~! [X0] : '==>'('==>'(X0,'1'),'1') = X0), 0.63/0.91 inference(rectify,[],[f14])). 0.63/0.91 fof(f17,plain,( 0.63/0.91 ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0)), 0.63/0.91 inference(rectify,[],[f4])). 0.63/0.91 fof(f18,plain,( 0.63/0.91 ! [X0,X1] : (('>='(X0,X1) & '>='(X1,X0)) => X0 = X1)), 0.63/0.91 inference(rectify,[],[f2])). 0.63/0.91 fof(f20,plain,( 0.63/0.91 ! [X0,X1,X2] : ('>='(X0,X1) => '>='('==>'(X2,X0),'==>'(X2,X1)))), 0.63/0.91 inference(rectify,[],[f6])). 0.63/0.91 fof(f21,plain,( 0.63/0.91 ! [X0,X1,X2] : ('>='(X0,X1) => '>='('==>'(X1,X2),'==>'(X0,X2)))), 0.63/0.91 inference(rectify,[],[f11])). 0.63/0.91 fof(f22,plain,( 0.63/0.91 ! [X0,X1,X2] : ('>='(X0,X1) => '>='('+'(X0,X2),'+'(X1,X2)))), 0.63/0.91 inference(rectify,[],[f12])). 0.63/0.91 fof(f23,plain,( 0.63/0.91 ! [X0,X1,X2] : (('>='(X1,X2) & '>='(X0,X1)) => '>='(X0,X2))), 0.63/0.91 inference(rectify,[],[f7])). 0.63/0.91 fof(f24,plain,( 0.63/0.91 ! [X0,X1,X2] : ('>='('+'(X0,X1),X2) <=> '>='(X1,'==>'(X0,X2)))), 0.63/0.91 inference(rectify,[],[f5])). 0.63/0.91 fof(f25,plain,( 0.63/0.91 ? [X0] : '==>'('==>'(X0,'1'),'1') != X0), 0.63/0.91 inference(ennf_transformation,[],[f16])). 0.63/0.91 fof(f26,plain,( 0.63/0.91 ! [X0,X1] : (X0 = X1 | (~'>='(X0,X1) | ~'>='(X1,X0)))), 0.63/0.91 inference(ennf_transformation,[],[f18])). 0.63/0.91 fof(f27,plain,( 0.63/0.91 ! [X0,X1] : (X0 = X1 | ~'>='(X0,X1) | ~'>='(X1,X0))), 0.63/0.91 inference(flattening,[],[f26])). 0.63/0.91 fof(f28,plain,( 0.63/0.91 ! [X0,X1,X2] : ('>='('==>'(X2,X0),'==>'(X2,X1)) | ~'>='(X0,X1))), 0.63/0.91 inference(ennf_transformation,[],[f20])). 0.63/0.91 fof(f29,plain,( 0.63/0.91 ! [X0,X1,X2] : ('>='('==>'(X1,X2),'==>'(X0,X2)) | ~'>='(X0,X1))), 0.63/0.91 inference(ennf_transformation,[],[f21])). 0.63/0.91 fof(f30,plain,( 0.63/0.91 ! [X0,X1,X2] : ('>='('+'(X0,X2),'+'(X1,X2)) | ~'>='(X0,X1))), 0.63/0.91 inference(ennf_transformation,[],[f22])). 0.63/0.91 fof(f31,plain,( 0.63/0.91 ! [X0,X1,X2] : ('>='(X0,X2) | (~'>='(X1,X2) | ~'>='(X0,X1)))), 0.63/0.91 inference(ennf_transformation,[],[f23])). 0.63/0.91 fof(f32,plain,( 0.63/0.91 ! [X0,X1,X2] : ('>='(X0,X2) | ~'>='(X1,X2) | ~'>='(X0,X1))), 0.63/0.91 inference(flattening,[],[f31])). 0.63/0.91 fof(f33,plain,( 0.63/0.91 '==>'('==>'(sK0,'1'),'1') != sK0), 0.63/0.91 inference(cnf_transformation,[],[f25])). 0.63/0.91 fof(f34,plain,( 0.63/0.91 ( ! [X0] : ('>='(X0,X0)) )), 0.63/0.91 inference(cnf_transformation,[],[f3])). 0.63/0.91 fof(f35,plain,( 0.63/0.91 ( ! [X0] : ('>='(X0,'0')) )), 0.63/0.91 inference(cnf_transformation,[],[f9])). 0.63/0.91 fof(f36,plain,( 0.63/0.91 ( ! [X0] : ('+'(X0,'0') = X0) )), 0.63/0.91 inference(cnf_transformation,[],[f15])). 0.63/0.91 fof(f37,plain,( 0.63/0.91 ( ! [X0] : ('1' = '+'(X0,'1')) )), 0.63/0.91 inference(cnf_transformation,[],[f8])). 0.63/0.91 fof(f38,plain,( 0.63/0.91 ( ! [X0] : ('==>'('==>'('==>'(X0,'1'),X0),X0) = '0') )), 0.63/0.91 inference(cnf_transformation,[],[f1])). 0.63/0.91 fof(f39,plain,( 0.63/0.91 ( ! [X0,X1] : ('+'(X0,X1) = '+'(X1,X0)) )), 0.63/0.91 inference(cnf_transformation,[],[f17])). 0.63/0.91 fof(f40,plain,( 0.63/0.91 ( ! [X0,X1] : (~'>='(X1,X0) | ~'>='(X0,X1) | X0 = X1) )), 0.63/0.91 inference(cnf_transformation,[],[f27])). 0.63/0.91 fof(f42,plain,( 0.63/0.91 ( ! [X2,X0,X1] : ('>='('==>'(X2,X0),'==>'(X2,X1)) | ~'>='(X0,X1)) )), 0.63/0.91 inference(cnf_transformation,[],[f28])). 0.63/0.91 fof(f43,plain,( 0.63/0.91 ( ! [X2,X0,X1] : ('>='('==>'(X1,X2),'==>'(X0,X2)) | ~'>='(X0,X1)) )), 0.63/0.91 inference(cnf_transformation,[],[f29])). 0.63/0.91 fof(f44,plain,( 0.63/0.91 ( ! [X2,X0,X1] : ('>='('+'(X0,X2),'+'(X1,X2)) | ~'>='(X0,X1)) )), 0.63/0.91 inference(cnf_transformation,[],[f30])). 0.63/0.91 fof(f45,plain,( 0.63/0.91 ( ! [X2,X0,X1] : (~'>='(X1,X2) | ~'>='(X0,X1) | '>='(X0,X2)) )), 0.63/0.91 inference(cnf_transformation,[],[f32])). 0.63/0.91 fof(f46,plain,( 0.63/0.91 ( ! [X2,X0,X1] : (~'>='(X1,'==>'(X0,X2)) | '>='('+'(X0,X1),X2)) )), 0.63/0.91 inference(cnf_transformation,[],[f24])). 0.63/0.91 fof(f47,plain,( 0.63/0.91 ( ! [X2,X0,X1] : (~'>='('+'(X0,X1),X2) | '>='(X1,'==>'(X0,X2))) )), 0.63/0.91 inference(cnf_transformation,[],[f24])). 0.63/0.91 fof(f52,plain,( 0.63/0.91 spl1_1 <=> '==>'('==>'(sK0,'1'),'1') != sK0), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])). 0.63/0.91 fof(f53,plain,( 0.63/0.91 '==>'('==>'(sK0,'1'),'1') != sK0 | ~spl1_1), 0.63/0.91 inference(avatar_component_clause,[],[f52])). 0.63/0.91 fof(f54,plain,( 0.63/0.91 ~spl1_1), 0.63/0.91 inference(avatar_split_clause,[],[f33,f52])). 0.63/0.91 fof(f55,plain,( 0.63/0.91 ( ! [X0] : ('+'('0',X0) = X0) )), 0.63/0.91 inference(superposition,[],[f39,f36])). 0.63/0.91 fof(f56,plain,( 0.63/0.91 ( ! [X1] : ('1' = '+'('1',X1)) )), 0.63/0.91 inference(superposition,[],[f39,f37])). 0.63/0.91 fof(f71,plain,( 0.63/0.91 '==>'('==>'('0','==>'('==>'('1','1'),'1')),'==>'('==>'('1','1'),'1')) = '0'), 0.63/0.91 inference(superposition,[],[f38,f38])). 0.63/0.91 fof(f76,plain,( 0.63/0.91 spl1_2 <=> '==>'('==>'('0','==>'('==>'('1','1'),'1')),'==>'('==>'('1','1'),'1')) = '0'), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 0.63/0.91 fof(f77,plain,( 0.63/0.91 '==>'('==>'('0','==>'('==>'('1','1'),'1')),'==>'('==>'('1','1'),'1')) = '0' | ~spl1_2), 0.63/0.91 inference(avatar_component_clause,[],[f76])). 0.63/0.91 fof(f78,plain,( 0.63/0.91 spl1_2), 0.63/0.91 inference(avatar_split_clause,[],[f71,f76])). 0.63/0.91 fof(f96,plain,( 0.63/0.91 ( ! [X0,X1] : ('>='('==>'(X0,X1),'==>'(X0,'0'))) )), 0.63/0.91 inference(unit_resulting_resolution,[],[f35,f42])). 0.63/0.91 fof(f113,plain,( 0.63/0.91 ( ! [X0] : ('>='('0','==>'('==>'('==>'(X0,'1'),X0),'0'))) )), 0.63/0.91 inference(superposition,[],[f96,f38])). 0.63/0.91 fof(f123,plain,( 0.63/0.91 ( ! [X0] : ('==>'('==>'('==>'(X0,'1'),X0),'0') = '0') )), 0.63/0.91 inference(unit_resulting_resolution,[],[f35,f113,f40])). 0.63/0.91 fof(f127,plain,( 0.63/0.91 '>='('0','==>'('==>'('0','==>'('==>'('1','1'),'1')),'0'))), 0.63/0.91 inference(superposition,[],[f113,f38])). 0.63/0.91 fof(f141,plain,( 0.63/0.91 spl1_4 <=> '>='('0','==>'('==>'('0','==>'('==>'('1','1'),'1')),'0'))), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 0.63/0.91 fof(f143,plain,( 0.63/0.91 spl1_4), 0.63/0.91 inference(avatar_split_clause,[],[f127,f141])). 0.63/0.91 fof(f144,plain,( 0.63/0.91 '==>'('==>'('0','==>'('==>'('1','1'),'1')),'0') = '0'), 0.63/0.91 inference(superposition,[],[f123,f38])). 0.63/0.91 fof(f153,plain,( 0.63/0.91 spl1_6 <=> '==>'('==>'('0','==>'('==>'('1','1'),'1')),'0') = '0'), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 0.63/0.91 fof(f154,plain,( 0.63/0.91 '==>'('==>'('0','==>'('==>'('1','1'),'1')),'0') = '0' | ~spl1_6), 0.63/0.91 inference(avatar_component_clause,[],[f153])). 0.63/0.91 fof(f155,plain,( 0.63/0.91 spl1_6), 0.63/0.91 inference(avatar_split_clause,[],[f144,f153])). 0.63/0.91 fof(f209,plain,( 0.63/0.91 ( ! [X0,X1] : ('>='('+'(X0,X1),'+'('0',X1))) )), 0.63/0.91 inference(unit_resulting_resolution,[],[f35,f44])). 0.63/0.91 fof(f227,plain,( 0.63/0.91 ( ! [X0,X1] : ('>='('+'(X0,X1),X1)) )), 0.63/0.91 inference(forward_demodulation,[],[f209,f55])). 0.63/0.91 fof(f249,plain,( 0.63/0.91 ( ! [X7] : ('>='('1',X7)) )), 0.63/0.91 inference(superposition,[],[f227,f56])). 0.63/0.91 fof(f257,plain,( 0.63/0.91 ( ! [X0,X1] : ('>='('==>'(X0,'1'),'==>'(X0,X1))) )), 0.63/0.91 inference(unit_resulting_resolution,[],[f249,f42])). 0.63/0.91 fof(f258,plain,( 0.63/0.91 ( ! [X0,X1] : ('>='('==>'(X0,X1),'==>'('1',X1))) )), 0.63/0.91 inference(unit_resulting_resolution,[],[f249,f43])). 0.63/0.91 fof(f270,plain,( 0.63/0.91 ( ! [X0,X1] : (~'>='(X0,'1') | '>='(X0,X1)) )), 0.63/0.91 inference(resolution,[],[f249,f45])). 0.63/0.91 fof(f271,plain,( 0.63/0.91 ( ! [X2] : (~'>='(X2,'1') | '1' = X2) )), 0.63/0.91 inference(resolution,[],[f249,f40])). 0.63/0.91 fof(f431,plain,( 0.63/0.91 ( ! [X0] : ('>='('0','==>'('1',X0))) )), 0.63/0.91 inference(superposition,[],[f258,f38])). 0.63/0.91 fof(f433,plain,( 0.63/0.91 ( ! [X0,X1] : ('>='('+'(X0,'==>'(X0,X1)),X1)) )), 0.63/0.91 inference(unit_resulting_resolution,[],[f34,f46])). 0.63/0.91 fof(f455,plain,( 0.63/0.91 ( ! [X0,X1] : (~'>='(X1,'0') | '>='('+'('==>'('==>'(X0,'1'),X0),X1),X0)) )), 0.63/0.91 inference(superposition,[],[f46,f38])). 0.63/0.91 fof(f461,plain,( 0.63/0.91 ( ! [X0,X1] : ('>='('+'('==>'('==>'(X0,'1'),X0),X1),X0)) )), 0.63/0.91 inference(subsumption_resolution,[],[f455,f35])). 0.63/0.91 fof(f465,plain,( 0.63/0.91 ( ! [X0] : ('==>'('1',X0) = '0') )), 0.63/0.91 inference(unit_resulting_resolution,[],[f35,f431,f40])). 0.63/0.91 fof(f487,plain,( 0.63/0.91 '==>'('==>'('0','==>'('0','1')),'0') = '0' | ~spl1_6), 0.63/0.91 inference(backward_demodulation,[],[f465,f154])). 0.63/0.91 fof(f488,plain,( 0.63/0.91 '==>'('==>'('0','==>'('0','1')),'==>'('0','1')) = '0' | ~spl1_2), 0.63/0.91 inference(backward_demodulation,[],[f465,f77])). 0.63/0.91 fof(f510,plain,( 0.63/0.91 spl1_8 <=> '==>'('==>'('0','==>'('0','1')),'0') = '0'), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 0.63/0.91 fof(f512,plain,( 0.63/0.91 spl1_8 | ~spl1_6), 0.63/0.91 inference(avatar_split_clause,[],[f487,f153,f510])). 0.63/0.91 fof(f517,plain,( 0.63/0.91 spl1_10 <=> '==>'('==>'('0','==>'('0','1')),'==>'('0','1')) = '0'), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 0.63/0.91 fof(f518,plain,( 0.63/0.91 '==>'('==>'('0','==>'('0','1')),'==>'('0','1')) = '0' | ~spl1_10), 0.63/0.91 inference(avatar_component_clause,[],[f517])). 0.63/0.91 fof(f519,plain,( 0.63/0.91 spl1_10 | ~spl1_2), 0.63/0.91 inference(avatar_split_clause,[],[f488,f76,f517])). 0.63/0.91 fof(f536,plain,( 0.63/0.91 '==>'('==>'('0','1'),'0') = '0'), 0.63/0.91 inference(superposition,[],[f123,f465])). 0.63/0.91 fof(f537,plain,( 0.63/0.91 '==>'('==>'('0','1'),'1') = '0'), 0.63/0.91 inference(superposition,[],[f38,f465])). 0.63/0.91 fof(f549,plain,( 0.63/0.91 spl1_12 <=> '==>'('==>'('0','1'),'0') = '0'), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])). 0.63/0.91 fof(f551,plain,( 0.63/0.91 spl1_12), 0.63/0.91 inference(avatar_split_clause,[],[f536,f549])). 0.63/0.91 fof(f556,plain,( 0.63/0.91 spl1_14 <=> '==>'('==>'('0','1'),'1') = '0'), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])). 0.63/0.91 fof(f558,plain,( 0.63/0.91 spl1_14), 0.63/0.91 inference(avatar_split_clause,[],[f537,f556])). 0.63/0.91 fof(f581,plain,( 0.63/0.91 ( ! [X0] : ('1' = '+'(X0,'==>'(X0,'1'))) )), 0.63/0.91 inference(unit_resulting_resolution,[],[f433,f271])). 0.63/0.91 fof(f592,plain,( 0.63/0.91 ( ! [X4] : ('>='('==>'('0',X4),X4)) )), 0.63/0.91 inference(superposition,[],[f433,f55])). 0.63/0.91 fof(f600,plain,( 0.63/0.91 '1' = '==>'('0','1')), 0.63/0.91 inference(unit_resulting_resolution,[],[f249,f592,f40])). 0.63/0.91 fof(f601,plain,( 0.63/0.91 '==>'('0','1') = '==>'('0','==>'('0','1'))), 0.63/0.91 inference(unit_resulting_resolution,[],[f257,f592,f40])). 0.63/0.91 fof(f602,plain,( 0.63/0.91 '1' = '==>'('0','1')), 0.63/0.91 inference(unit_resulting_resolution,[],[f249,f592,f40])). 0.63/0.91 fof(f603,plain,( 0.63/0.91 '==>'('0','1') = '==>'('0','==>'('0','1'))), 0.63/0.91 inference(unit_resulting_resolution,[],[f257,f592,f40])). 0.63/0.91 fof(f630,plain,( 0.63/0.91 '1' = '==>'('0','1')), 0.63/0.91 inference(unit_resulting_resolution,[],[f592,f271])). 0.63/0.91 fof(f635,plain,( 0.63/0.91 '1' = '==>'('0','1')), 0.63/0.91 inference(resolution,[],[f592,f271])). 0.63/0.91 fof(f642,plain,( 0.63/0.91 spl1_16 <=> '1' = '==>'('0','1')), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])). 0.63/0.91 fof(f643,plain,( 0.63/0.91 '1' = '==>'('0','1') | ~spl1_16), 0.63/0.91 inference(avatar_component_clause,[],[f642])). 0.63/0.91 fof(f644,plain,( 0.63/0.91 spl1_16), 0.63/0.91 inference(avatar_split_clause,[],[f630,f642])). 0.63/0.91 fof(f649,plain,( 0.63/0.91 spl1_18 <=> '==>'('0','1') = '==>'('0','==>'('0','1'))), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])). 0.63/0.91 fof(f650,plain,( 0.63/0.91 '==>'('0','1') = '==>'('0','==>'('0','1')) | ~spl1_18), 0.63/0.91 inference(avatar_component_clause,[],[f649])). 0.63/0.91 fof(f651,plain,( 0.63/0.91 spl1_18), 0.63/0.91 inference(avatar_split_clause,[],[f603,f649])). 0.63/0.91 fof(f652,plain,( 0.63/0.91 spl1_16), 0.63/0.91 inference(avatar_split_clause,[],[f602,f642])). 0.63/0.91 fof(f653,plain,( 0.63/0.91 spl1_18), 0.63/0.91 inference(avatar_split_clause,[],[f601,f649])). 0.63/0.91 fof(f654,plain,( 0.63/0.91 spl1_16), 0.63/0.91 inference(avatar_split_clause,[],[f600,f642])). 0.63/0.91 fof(f655,plain,( 0.63/0.91 spl1_16), 0.63/0.91 inference(avatar_split_clause,[],[f635,f642])). 0.63/0.91 fof(f657,plain,( 0.63/0.91 '==>'('==>'('0','1'),'==>'('0','1')) = '0' | (~spl1_10 | ~spl1_18)), 0.63/0.91 inference(backward_demodulation,[],[f650,f518])). 0.63/0.91 fof(f662,plain,( 0.63/0.91 spl1_20 <=> '==>'('==>'('0','1'),'==>'('0','1')) = '0'), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_20])])). 0.63/0.91 fof(f664,plain,( 0.63/0.91 spl1_20 | ~spl1_10 | ~spl1_18), 0.63/0.91 inference(avatar_split_clause,[],[f657,f649,f517,f662])). 0.63/0.91 fof(f674,plain,( 0.63/0.91 '==>'('==>'('1','0'),'0') = '0' | ~spl1_16), 0.63/0.91 inference(superposition,[],[f123,f643])). 0.63/0.91 fof(f675,plain,( 0.63/0.91 '==>'('==>'('1','0'),'0') = '0' | ~spl1_16), 0.63/0.91 inference(superposition,[],[f38,f643])). 0.63/0.91 fof(f688,plain,( 0.63/0.91 '==>'('0','0') = '0' | ~spl1_16), 0.63/0.91 inference(forward_demodulation,[],[f674,f465])). 0.63/0.91 fof(f693,plain,( 0.63/0.91 spl1_22 <=> '==>'('0','0') = '0'), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_22])])). 0.63/0.91 fof(f695,plain,( 0.63/0.91 spl1_22 | ~spl1_16), 0.63/0.91 inference(avatar_split_clause,[],[f688,f642,f693])). 0.63/0.91 fof(f696,plain,( 0.63/0.91 '==>'('0','0') = '0' | ~spl1_16), 0.63/0.91 inference(forward_demodulation,[],[f675,f465])). 0.63/0.91 fof(f697,plain,( 0.63/0.91 spl1_22 | ~spl1_16), 0.63/0.91 inference(avatar_split_clause,[],[f696,f642,f693])). 0.63/0.91 fof(f804,plain,( 0.63/0.91 ( ! [X0,X1] : ('>='(X0,'==>'(X1,'+'(X1,X0)))) )), 0.63/0.91 inference(unit_resulting_resolution,[],[f34,f47])). 0.63/0.91 fof(f1026,plain,( 0.63/0.91 ( ! [X2,X3] : ('>='(X3,'==>'(X2,'+'(X3,X2)))) )), 0.63/0.91 inference(superposition,[],[f804,f39])). 0.63/0.91 fof(f1407,plain,( 0.63/0.91 ( ! [X22] : ('>='(X22,'==>'('==>'(X22,'1'),'1'))) )), 0.63/0.91 inference(superposition,[],[f1026,f581])). 0.63/0.91 fof(f1545,plain,( 0.63/0.91 ~'>='('==>'('==>'(sK0,'1'),'1'),sK0) | ~spl1_1), 0.63/0.91 inference(unit_resulting_resolution,[],[f53,f1407,f40])). 0.63/0.91 fof(f1547,plain,( 0.63/0.91 ~'>='('==>'('==>'(sK0,'1'),'1'),sK0) | ~spl1_1), 0.63/0.91 inference(unit_resulting_resolution,[],[f53,f1407,f40])). 0.63/0.91 fof(f1598,plain,( 0.63/0.91 spl1_25 <=> ~'>='('==>'('==>'(sK0,'1'),'1'),sK0)), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_25])])). 0.63/0.91 fof(f1599,plain,( 0.63/0.91 ~'>='('==>'('==>'(sK0,'1'),'1'),sK0) | ~spl1_25), 0.63/0.91 inference(avatar_component_clause,[],[f1598])). 0.63/0.91 fof(f1600,plain,( 0.63/0.91 ~spl1_25 | spl1_1), 0.63/0.91 inference(avatar_split_clause,[],[f1547,f52,f1598])). 0.63/0.91 fof(f1602,plain,( 0.63/0.91 ~spl1_25 | spl1_1), 0.63/0.91 inference(avatar_split_clause,[],[f1545,f52,f1598])). 0.63/0.91 fof(f1950,plain,( 0.63/0.91 ~'>='('==>'('==>'(sK0,'1'),'1'),'1') | ~spl1_25), 0.63/0.91 inference(unit_resulting_resolution,[],[f1599,f270])). 0.63/0.91 fof(f1952,plain,( 0.63/0.91 ~'>='('==>'('==>'(sK0,'1'),'1'),'1') | ~spl1_25), 0.63/0.91 inference(unit_resulting_resolution,[],[f249,f1599,f45])). 0.63/0.91 fof(f1960,plain,( 0.63/0.91 ~'>='('0',sK0) | ~spl1_25), 0.63/0.91 inference(unit_resulting_resolution,[],[f35,f1599,f45])). 0.63/0.91 fof(f1971,plain,( 0.63/0.91 spl1_27 <=> ~'>='('0',sK0)), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_27])])). 0.63/0.91 fof(f1972,plain,( 0.63/0.91 ~'>='('0',sK0) | ~spl1_27), 0.63/0.91 inference(avatar_component_clause,[],[f1971])). 0.63/0.91 fof(f1973,plain,( 0.63/0.91 ~spl1_27 | spl1_25), 0.63/0.91 inference(avatar_split_clause,[],[f1960,f1598,f1971])). 0.63/0.91 fof(f1978,plain,( 0.63/0.91 spl1_29 <=> ~'>='('==>'('==>'(sK0,'1'),'1'),'1')), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_29])])). 0.63/0.91 fof(f1980,plain,( 0.63/0.91 ~spl1_29 | spl1_25), 0.63/0.91 inference(avatar_split_clause,[],[f1952,f1598,f1978])). 0.63/0.91 fof(f1981,plain,( 0.63/0.91 ~spl1_29 | spl1_25), 0.63/0.91 inference(avatar_split_clause,[],[f1950,f1598,f1978])). 0.63/0.91 fof(f1982,plain,( 0.63/0.91 ~'>='('0','1') | ~spl1_27), 0.63/0.91 inference(unit_resulting_resolution,[],[f1972,f270])). 0.63/0.91 fof(f1984,plain,( 0.63/0.91 ~'>='('0','1') | ~spl1_27), 0.63/0.91 inference(unit_resulting_resolution,[],[f249,f1972,f45])). 0.63/0.91 fof(f2013,plain,( 0.63/0.91 spl1_31 <=> ~'>='('0','1')), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_31])])). 0.63/0.91 fof(f2015,plain,( 0.63/0.91 ~spl1_31 | spl1_27), 0.63/0.91 inference(avatar_split_clause,[],[f1984,f1971,f2013])). 0.63/0.91 fof(f2016,plain,( 0.63/0.91 ~spl1_31 | spl1_27), 0.63/0.91 inference(avatar_split_clause,[],[f1982,f1971,f2013])). 0.63/0.91 fof(f2146,plain,( 0.63/0.91 ( ! [X6] : ('>='('==>'('==>'(X6,'1'),X6),X6)) )), 0.63/0.91 inference(superposition,[],[f461,f36])). 0.63/0.91 fof(f2248,plain,( 0.63/0.91 ~'>='('==>'('==>'(sK0,'1'),'1'),'==>'('==>'(sK0,'1'),sK0)) | ~spl1_25), 0.63/0.91 inference(unit_resulting_resolution,[],[f1599,f2146,f45])). 0.63/0.91 fof(f2249,plain,( 0.63/0.91 ~'>='('0','==>'('==>'(sK0,'1'),sK0)) | ~spl1_27), 0.63/0.91 inference(unit_resulting_resolution,[],[f1972,f2146,f45])). 0.63/0.91 fof(f2260,plain,( 0.63/0.91 $false | ~spl1_25), 0.63/0.91 inference(unit_resulting_resolution,[],[f1599,f257,f2146,f45])). 0.63/0.91 fof(f2287,plain,( 0.63/0.91 spl1_25), 0.63/0.91 inference(avatar_contradiction_clause,[],[f2260])). 0.63/0.91 fof(f2298,plain,( 0.63/0.91 spl1_33 <=> ~'>='('0','==>'('==>'(sK0,'1'),sK0))), 0.63/0.91 introduced(avatar_definition,[new_symbols(naming,[spl1_33])])). 0.63/0.91 fof(f2300,plain,( 0.63/0.91 ~spl1_33 | spl1_27), 0.63/0.91 inference(avatar_split_clause,[],[f2249,f1971,f2298])). 0.63/0.91 fof(f2301,plain,( 0.63/0.91 $false | ~spl1_25), 0.63/0.91 inference(subsumption_resolution,[],[f2248,f257])). 0.63/0.91 fof(f2302,plain,( 0.63/0.91 spl1_25), 0.63/0.91 inference(avatar_contradiction_clause,[],[f2301])). 0.63/0.91 fof(f2399,plain,( 0.63/0.91 $false), 0.63/0.91 inference(avatar_sat_refutation,[],[f54,f78,f143,f155,f512,f519,f551,f558,f644,f651,f652,f653,f654,f655,f664,f695,f697,f1600,f1602,f1973,f1980,f1981,f2015,f2016,f2287,f2300,f2302])). 0.63/0.91 % SZS output end Proof for theBenchmark 0.63/0.91 % ------------------------------ 0.63/0.91 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.63/0.91 % Termination reason: Refutation 0.63/0.91 0.63/0.91 % Memory used [KB]: 1535 0.63/0.91 % Time elapsed: 0.070 s 0.63/0.91 % ------------------------------ 0.63/0.91 % ------------------------------ 0.63/0.91 % Success in time 0.676 s 0.63/0.91 EOF