0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.24 % Computer : n133.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 04:40:39 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.24 % remaining time: 6000 next slice time: 4 0.03/0.28 lrs+1010_5:4_afp=100000:afq=1.2:anc=none:cond=on:fsr=off:ile=on:irw=on:nm=64:nwc=1:stl=30:sac=on:sp=occurrence:urr=on_2 on theBenchmark 0.07/0.31 % Refutation found. Thanks to Tanya! 0.07/0.31 % SZS status Theorem for theBenchmark 0.07/0.31 % SZS output start Proof for theBenchmark 0.07/0.31 fof(f1,conjecture,( 0.07/0.31 ! [X0] : ? [X1,X2,X3] : ! [X4] : ((big_f(X1,X2,X3) => (big_f(X0,X0,X4) => (big_f(X2,X3,X1) | big_f(X3,X1,X2)))) => (((big_f(X3,X1,X2) => (big_f(X1,X2,X3) & big_f(X2,X3,X1))) <=> big_f(X2,X1,X4)) => (((big_f(X2,X3,X1) => (big_f(X3,X1,X2) & big_f(X1,X2,X3))) <=> big_f(X1,X4,X2)) => ((big_f(X4,X2,X1) <=> ((big_f(X3,X1,X2) => ~big_f(X2,X3,X1)) => big_f(X1,X2,X3))) => (big_f(X4,X4,X4) <=> (big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3)))))))), 0.07/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5)). 0.07/0.31 fof(f2,negated_conjecture,( 0.07/0.31 ~! [X0] : ? [X1,X2,X3] : ! [X4] : ((big_f(X1,X2,X3) => (big_f(X0,X0,X4) => (big_f(X2,X3,X1) | big_f(X3,X1,X2)))) => (((big_f(X3,X1,X2) => (big_f(X1,X2,X3) & big_f(X2,X3,X1))) <=> big_f(X2,X1,X4)) => (((big_f(X2,X3,X1) => (big_f(X3,X1,X2) & big_f(X1,X2,X3))) <=> big_f(X1,X4,X2)) => ((big_f(X4,X2,X1) <=> ((big_f(X3,X1,X2) => ~big_f(X2,X3,X1)) => big_f(X1,X2,X3))) => (big_f(X4,X4,X4) <=> (big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3)))))))), 0.07/0.31 inference(negated_conjecture,[],[f1])). 0.07/0.31 fof(f3,plain,( 0.07/0.31 ? [X0] : ! [X1,X2,X3] : ? [X4] : (((((big_f(X4,X4,X4) <~> (big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3))) & (big_f(X4,X2,X1) <=> (big_f(X1,X2,X3) | (big_f(X2,X3,X1) & big_f(X3,X1,X2))))) & (((big_f(X3,X1,X2) & big_f(X1,X2,X3)) | ~big_f(X2,X3,X1)) <=> big_f(X1,X4,X2))) & (((big_f(X1,X2,X3) & big_f(X2,X3,X1)) | ~big_f(X3,X1,X2)) <=> big_f(X2,X1,X4))) & (((big_f(X2,X3,X1) | big_f(X3,X1,X2)) | ~big_f(X0,X0,X4)) | ~big_f(X1,X2,X3)))), 0.07/0.31 inference(ennf_transformation,[],[f2])). 0.07/0.31 fof(f4,plain,( 0.07/0.31 ? [X0] : ! [X1,X2,X3] : ? [X4] : ((big_f(X4,X4,X4) <~> (big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3))) & (big_f(X4,X2,X1) <=> (big_f(X1,X2,X3) | (big_f(X2,X3,X1) & big_f(X3,X1,X2)))) & (((big_f(X3,X1,X2) & big_f(X1,X2,X3)) | ~big_f(X2,X3,X1)) <=> big_f(X1,X4,X2)) & (((big_f(X1,X2,X3) & big_f(X2,X3,X1)) | ~big_f(X3,X1,X2)) <=> big_f(X2,X1,X4)) & (big_f(X2,X3,X1) | big_f(X3,X1,X2) | ~big_f(X0,X0,X4) | ~big_f(X1,X2,X3)))), 0.07/0.31 inference(flattening,[],[f3])). 0.07/0.31 fof(f5,plain,( 0.07/0.31 ? [X0] : ! [X1,X2,X3] : ? [X4] : ((((~big_f(X3,X1,X2) | ~big_f(X2,X3,X1) | ~big_f(X1,X2,X3)) | ~big_f(X4,X4,X4)) & ((big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3)) | big_f(X4,X4,X4))) & ((big_f(X4,X2,X1) | (~big_f(X1,X2,X3) & (~big_f(X2,X3,X1) | ~big_f(X3,X1,X2)))) & ((big_f(X1,X2,X3) | (big_f(X2,X3,X1) & big_f(X3,X1,X2))) | ~big_f(X4,X2,X1))) & ((((big_f(X3,X1,X2) & big_f(X1,X2,X3)) | ~big_f(X2,X3,X1)) | ~big_f(X1,X4,X2)) & (big_f(X1,X4,X2) | ((~big_f(X3,X1,X2) | ~big_f(X1,X2,X3)) & big_f(X2,X3,X1)))) & ((((big_f(X1,X2,X3) & big_f(X2,X3,X1)) | ~big_f(X3,X1,X2)) | ~big_f(X2,X1,X4)) & (big_f(X2,X1,X4) | ((~big_f(X1,X2,X3) | ~big_f(X2,X3,X1)) & big_f(X3,X1,X2)))) & (big_f(X2,X3,X1) | big_f(X3,X1,X2) | ~big_f(X0,X0,X4) | ~big_f(X1,X2,X3)))), 0.07/0.31 inference(nnf_transformation,[],[f4])). 0.07/0.31 fof(f6,plain,( 0.07/0.31 ? [X0] : ! [X1,X2,X3] : ? [X4] : ((~big_f(X3,X1,X2) | ~big_f(X2,X3,X1) | ~big_f(X1,X2,X3) | ~big_f(X4,X4,X4)) & ((big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3)) | big_f(X4,X4,X4)) & (big_f(X4,X2,X1) | (~big_f(X1,X2,X3) & (~big_f(X2,X3,X1) | ~big_f(X3,X1,X2)))) & (big_f(X1,X2,X3) | (big_f(X2,X3,X1) & big_f(X3,X1,X2)) | ~big_f(X4,X2,X1)) & ((big_f(X3,X1,X2) & big_f(X1,X2,X3)) | ~big_f(X2,X3,X1) | ~big_f(X1,X4,X2)) & (big_f(X1,X4,X2) | ((~big_f(X3,X1,X2) | ~big_f(X1,X2,X3)) & big_f(X2,X3,X1))) & ((big_f(X1,X2,X3) & big_f(X2,X3,X1)) | ~big_f(X3,X1,X2) | ~big_f(X2,X1,X4)) & (big_f(X2,X1,X4) | ((~big_f(X1,X2,X3) | ~big_f(X2,X3,X1)) & big_f(X3,X1,X2))) & (big_f(X2,X3,X1) | big_f(X3,X1,X2) | ~big_f(X0,X0,X4) | ~big_f(X1,X2,X3)))), 0.07/0.31 inference(flattening,[],[f5])). 0.07/0.31 fof(f7,plain,( 0.07/0.31 ? [X0] : ! [X1,X2,X3] : ? [X4] : ((~big_f(X3,X1,X2) | ~big_f(X2,X3,X1) | ~big_f(X1,X2,X3) | ~big_f(X4,X4,X4)) & ((big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3)) | big_f(X4,X4,X4)) & (big_f(X4,X2,X1) | (~big_f(X1,X2,X3) & (~big_f(X2,X3,X1) | ~big_f(X3,X1,X2)))) & (big_f(X1,X2,X3) | (big_f(X2,X3,X1) & big_f(X3,X1,X2)) | ~big_f(X4,X2,X1)) & ((big_f(X3,X1,X2) & big_f(X1,X2,X3)) | ~big_f(X2,X3,X1) | ~big_f(X1,X4,X2)) & (big_f(X1,X4,X2) | ((~big_f(X3,X1,X2) | ~big_f(X1,X2,X3)) & big_f(X2,X3,X1))) & ((big_f(X1,X2,X3) & big_f(X2,X3,X1)) | ~big_f(X3,X1,X2) | ~big_f(X2,X1,X4)) & (big_f(X2,X1,X4) | ((~big_f(X1,X2,X3) | ~big_f(X2,X3,X1)) & big_f(X3,X1,X2))) & (big_f(X2,X3,X1) | big_f(X3,X1,X2) | ~big_f(X0,X0,X4) | ~big_f(X1,X2,X3))) => ! [X3,X2,X1] : ? [X4] : ((~big_f(X3,X1,X2) | ~big_f(X2,X3,X1) | ~big_f(X1,X2,X3) | ~big_f(X4,X4,X4)) & ((big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3)) | big_f(X4,X4,X4)) & (big_f(X4,X2,X1) | (~big_f(X1,X2,X3) & (~big_f(X2,X3,X1) | ~big_f(X3,X1,X2)))) & (big_f(X1,X2,X3) | (big_f(X2,X3,X1) & big_f(X3,X1,X2)) | ~big_f(X4,X2,X1)) & ((big_f(X3,X1,X2) & big_f(X1,X2,X3)) | ~big_f(X2,X3,X1) | ~big_f(X1,X4,X2)) & (big_f(X1,X4,X2) | ((~big_f(X3,X1,X2) | ~big_f(X1,X2,X3)) & big_f(X2,X3,X1))) & ((big_f(X1,X2,X3) & big_f(X2,X3,X1)) | ~big_f(X3,X1,X2) | ~big_f(X2,X1,X4)) & (big_f(X2,X1,X4) | ((~big_f(X1,X2,X3) | ~big_f(X2,X3,X1)) & big_f(X3,X1,X2))) & (big_f(X2,X3,X1) | big_f(X3,X1,X2) | ~big_f(sK0,sK0,X4) | ~big_f(X1,X2,X3)))), 0.07/0.31 introduced(choice_axiom,[])). 0.07/0.31 fof(f8,plain,( 0.07/0.31 ( ! [X0] : (! [X3,X2,X1] : (? [X4] : ((~big_f(X3,X1,X2) | ~big_f(X2,X3,X1) | ~big_f(X1,X2,X3) | ~big_f(X4,X4,X4)) & ((big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3)) | big_f(X4,X4,X4)) & (big_f(X4,X2,X1) | (~big_f(X1,X2,X3) & (~big_f(X2,X3,X1) | ~big_f(X3,X1,X2)))) & (big_f(X1,X2,X3) | (big_f(X2,X3,X1) & big_f(X3,X1,X2)) | ~big_f(X4,X2,X1)) & ((big_f(X3,X1,X2) & big_f(X1,X2,X3)) | ~big_f(X2,X3,X1) | ~big_f(X1,X4,X2)) & (big_f(X1,X4,X2) | ((~big_f(X3,X1,X2) | ~big_f(X1,X2,X3)) & big_f(X2,X3,X1))) & ((big_f(X1,X2,X3) & big_f(X2,X3,X1)) | ~big_f(X3,X1,X2) | ~big_f(X2,X1,X4)) & (big_f(X2,X1,X4) | ((~big_f(X1,X2,X3) | ~big_f(X2,X3,X1)) & big_f(X3,X1,X2))) & (big_f(X2,X3,X1) | big_f(X3,X1,X2) | ~big_f(X0,X0,X4) | ~big_f(X1,X2,X3))) => ((~big_f(X3,X1,X2) | ~big_f(X2,X3,X1) | ~big_f(X1,X2,X3) | ~big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))) & ((big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3)) | big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))) & (big_f(sK1(X1,X2,X3),X2,X1) | (~big_f(X1,X2,X3) & (~big_f(X2,X3,X1) | ~big_f(X3,X1,X2)))) & (big_f(X1,X2,X3) | (big_f(X2,X3,X1) & big_f(X3,X1,X2)) | ~big_f(sK1(X1,X2,X3),X2,X1)) & ((big_f(X3,X1,X2) & big_f(X1,X2,X3)) | ~big_f(X2,X3,X1) | ~big_f(X1,sK1(X1,X2,X3),X2)) & (big_f(X1,sK1(X1,X2,X3),X2) | ((~big_f(X3,X1,X2) | ~big_f(X1,X2,X3)) & big_f(X2,X3,X1))) & ((big_f(X1,X2,X3) & big_f(X2,X3,X1)) | ~big_f(X3,X1,X2) | ~big_f(X2,X1,sK1(X1,X2,X3))) & (big_f(X2,X1,sK1(X1,X2,X3)) | ((~big_f(X1,X2,X3) | ~big_f(X2,X3,X1)) & big_f(X3,X1,X2))) & (big_f(X2,X3,X1) | big_f(X3,X1,X2) | ~big_f(X0,X0,sK1(X1,X2,X3)) | ~big_f(X1,X2,X3))))) )), 0.07/0.31 introduced(choice_axiom,[])). 0.07/0.31 fof(f9,plain,( 0.07/0.31 ! [X1,X2,X3] : ((~big_f(X3,X1,X2) | ~big_f(X2,X3,X1) | ~big_f(X1,X2,X3) | ~big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))) & ((big_f(X3,X1,X2) & big_f(X2,X3,X1) & big_f(X1,X2,X3)) | big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))) & (big_f(sK1(X1,X2,X3),X2,X1) | (~big_f(X1,X2,X3) & (~big_f(X2,X3,X1) | ~big_f(X3,X1,X2)))) & (big_f(X1,X2,X3) | (big_f(X2,X3,X1) & big_f(X3,X1,X2)) | ~big_f(sK1(X1,X2,X3),X2,X1)) & ((big_f(X3,X1,X2) & big_f(X1,X2,X3)) | ~big_f(X2,X3,X1) | ~big_f(X1,sK1(X1,X2,X3),X2)) & (big_f(X1,sK1(X1,X2,X3),X2) | ((~big_f(X3,X1,X2) | ~big_f(X1,X2,X3)) & big_f(X2,X3,X1))) & ((big_f(X1,X2,X3) & big_f(X2,X3,X1)) | ~big_f(X3,X1,X2) | ~big_f(X2,X1,sK1(X1,X2,X3))) & (big_f(X2,X1,sK1(X1,X2,X3)) | ((~big_f(X1,X2,X3) | ~big_f(X2,X3,X1)) & big_f(X3,X1,X2))) & (big_f(X2,X3,X1) | big_f(X3,X1,X2) | ~big_f(sK0,sK0,sK1(X1,X2,X3)) | ~big_f(X1,X2,X3)))), 0.07/0.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7])). 0.07/0.31 fof(f10,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (~big_f(sK0,sK0,sK1(X1,X2,X3)) | big_f(X3,X1,X2) | big_f(X2,X3,X1) | ~big_f(X1,X2,X3)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f11,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (big_f(X2,X1,sK1(X1,X2,X3)) | big_f(X3,X1,X2)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f13,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (~big_f(X2,X1,sK1(X1,X2,X3)) | ~big_f(X3,X1,X2) | big_f(X2,X3,X1)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f14,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (~big_f(X2,X1,sK1(X1,X2,X3)) | ~big_f(X3,X1,X2) | big_f(X1,X2,X3)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f15,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (big_f(X1,sK1(X1,X2,X3),X2) | big_f(X2,X3,X1)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f17,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (~big_f(X1,sK1(X1,X2,X3),X2) | ~big_f(X2,X3,X1) | big_f(X1,X2,X3)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f18,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (~big_f(X1,sK1(X1,X2,X3),X2) | ~big_f(X2,X3,X1) | big_f(X3,X1,X2)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f19,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (~big_f(sK1(X1,X2,X3),X2,X1) | big_f(X3,X1,X2) | big_f(X1,X2,X3)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f20,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (~big_f(sK1(X1,X2,X3),X2,X1) | big_f(X2,X3,X1) | big_f(X1,X2,X3)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f21,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (big_f(sK1(X1,X2,X3),X2,X1) | ~big_f(X2,X3,X1) | ~big_f(X3,X1,X2)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f26,plain,( 0.07/0.31 ( ! [X2,X3,X1] : (~big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3)) | ~big_f(X2,X3,X1) | ~big_f(X1,X2,X3) | ~big_f(X3,X1,X2)) )), 0.07/0.31 inference(cnf_transformation,[],[f9])). 0.07/0.31 fof(f40,plain,( 0.07/0.31 ( ! [X1] : (big_f(X1,sK0,sK0) | big_f(sK0,X1,sK0) | ~big_f(sK0,sK0,X1) | big_f(X1,sK0,sK0)) )), 0.07/0.31 inference(resolution,[],[f10,f11])). 0.07/0.31 fof(f41,plain,( 0.07/0.31 ( ! [X1] : (~big_f(sK0,sK0,X1) | big_f(sK0,X1,sK0) | big_f(X1,sK0,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f40])). 0.07/0.31 fof(f44,plain,( 0.07/0.31 ( ! [X1] : (big_f(sK1(sK0,sK0,X1),sK0,sK0) | big_f(sK0,sK1(sK0,sK0,X1),sK0) | big_f(X1,sK0,sK0)) )), 0.07/0.31 inference(resolution,[],[f41,f11])). 0.07/0.31 fof(f49,plain,( 0.07/0.31 ( ! [X1] : (big_f(sK0,sK1(sK0,sK0,X1),sK0) | big_f(X1,sK0,sK0) | big_f(X1,sK0,sK0) | big_f(sK0,sK0,X1)) )), 0.07/0.31 inference(resolution,[],[f44,f19])). 0.07/0.31 fof(f50,plain,( 0.07/0.31 ( ! [X1] : (big_f(sK0,sK1(sK0,sK0,X1),sK0) | big_f(X1,sK0,sK0) | big_f(sK0,sK0,X1)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f49])). 0.07/0.31 fof(f51,plain,( 0.07/0.31 ( ! [X0] : (big_f(X0,sK0,sK0) | big_f(sK0,sK0,X0) | ~big_f(sK0,X0,sK0) | big_f(X0,sK0,sK0)) )), 0.07/0.31 inference(resolution,[],[f50,f18])). 0.07/0.31 fof(f54,plain,( 0.07/0.31 ( ! [X0] : (~big_f(sK0,X0,sK0) | big_f(sK0,sK0,X0) | big_f(X0,sK0,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f51])). 0.07/0.31 fof(f57,plain,( 0.07/0.31 ( ! [X2] : (big_f(sK1(sK0,sK0,X2),sK0,sK0) | big_f(sK0,sK0,sK1(sK0,sK0,X2)) | big_f(sK0,X2,sK0)) )), 0.07/0.31 inference(resolution,[],[f54,f15])). 0.07/0.31 fof(f58,plain,( 0.07/0.31 ( ! [X0] : (big_f(sK0,sK0,sK1(sK0,sK0,X0)) | big_f(sK0,X0,sK0) | big_f(sK0,X0,sK0) | big_f(sK0,sK0,X0)) )), 0.07/0.31 inference(resolution,[],[f57,f20])). 0.07/0.31 fof(f60,plain,( 0.07/0.31 ( ! [X0] : (big_f(sK0,sK0,sK1(sK0,sK0,X0)) | big_f(sK0,X0,sK0) | big_f(sK0,sK0,X0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f58])). 0.07/0.31 fof(f63,plain,( 0.07/0.31 ( ! [X2] : (big_f(sK0,X2,sK0) | big_f(sK0,sK0,X2) | ~big_f(X2,sK0,sK0) | big_f(sK0,sK0,X2)) )), 0.07/0.31 inference(resolution,[],[f60,f14])). 0.07/0.31 fof(f66,plain,( 0.07/0.31 ( ! [X2] : (~big_f(X2,sK0,sK0) | big_f(sK0,sK0,X2) | big_f(sK0,X2,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f63])). 0.07/0.31 fof(f68,plain,( 0.07/0.31 ( ! [X0] : (big_f(sK0,sK1(sK0,sK0,X0),sK0) | big_f(sK0,sK0,sK1(sK0,sK0,X0)) | ~big_f(sK0,X0,sK0) | ~big_f(X0,sK0,sK0)) )), 0.07/0.31 inference(resolution,[],[f66,f21])). 0.07/0.31 fof(f80,plain,( 0.07/0.31 ( ! [X2] : (big_f(sK0,sK0,sK1(sK0,sK0,X2)) | ~big_f(sK0,X2,sK0) | ~big_f(X2,sK0,sK0) | ~big_f(sK0,X2,sK0) | big_f(sK0,sK0,X2)) )), 0.07/0.31 inference(resolution,[],[f68,f17])). 0.07/0.31 fof(f81,plain,( 0.07/0.31 ( ! [X2] : (big_f(sK0,sK0,sK1(sK0,sK0,X2)) | ~big_f(sK0,X2,sK0) | ~big_f(X2,sK0,sK0) | big_f(sK0,sK0,X2)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f80])). 0.07/0.31 fof(f86,plain,( 0.07/0.31 ( ! [X2] : (~big_f(sK0,X2,sK0) | ~big_f(X2,sK0,sK0) | big_f(sK0,sK0,X2) | ~big_f(X2,sK0,sK0) | big_f(sK0,sK0,X2)) )), 0.07/0.31 inference(resolution,[],[f81,f14])). 0.07/0.31 fof(f89,plain,( 0.07/0.31 ( ! [X2] : (~big_f(sK0,X2,sK0) | ~big_f(X2,sK0,sK0) | big_f(sK0,sK0,X2)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f86])). 0.07/0.31 fof(f94,plain,( 0.07/0.31 ( ! [X4] : (~big_f(sK1(sK0,sK0,X4),sK0,sK0) | big_f(sK0,sK0,sK1(sK0,sK0,X4)) | big_f(sK0,X4,sK0)) )), 0.07/0.31 inference(resolution,[],[f89,f15])). 0.07/0.31 fof(f97,plain,( 0.07/0.31 ( ! [X0] : (big_f(sK0,sK0,sK1(sK0,sK0,X0)) | big_f(sK0,X0,sK0) | big_f(sK0,sK0,sK1(sK0,sK0,X0)) | big_f(sK0,X0,sK0)) )), 0.07/0.31 inference(resolution,[],[f94,f57])). 0.07/0.31 fof(f101,plain,( 0.07/0.31 ( ! [X0] : (big_f(sK0,sK0,sK1(sK0,sK0,X0)) | big_f(sK0,X0,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f97])). 0.07/0.31 fof(f111,plain,( 0.07/0.31 ( ! [X3] : (big_f(sK0,X3,sK0) | ~big_f(X3,sK0,sK0) | big_f(sK0,X3,sK0)) )), 0.07/0.31 inference(resolution,[],[f101,f13])). 0.07/0.31 fof(f112,plain,( 0.07/0.31 ( ! [X3] : (~big_f(X3,sK0,sK0) | big_f(sK0,X3,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f111])). 0.07/0.31 fof(f123,plain,( 0.07/0.31 ( ! [X3] : (big_f(sK0,sK1(sK0,sK0,X3),sK0) | big_f(sK0,sK1(sK0,sK0,X3),sK0) | big_f(X3,sK0,sK0)) )), 0.07/0.31 inference(resolution,[],[f112,f44])). 0.07/0.31 fof(f124,plain,( 0.07/0.31 ( ! [X3] : (big_f(sK0,sK1(sK0,sK0,X3),sK0) | big_f(X3,sK0,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f123])). 0.07/0.31 fof(f142,plain,( 0.07/0.31 ( ! [X2] : (big_f(X2,sK0,sK0) | ~big_f(sK0,X2,sK0) | big_f(X2,sK0,sK0)) )), 0.07/0.31 inference(resolution,[],[f124,f18])). 0.07/0.31 fof(f144,plain,( 0.07/0.31 ( ! [X2] : (~big_f(sK0,X2,sK0) | big_f(X2,sK0,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f142])). 0.07/0.31 fof(f145,plain,( 0.07/0.31 ( ! [X0] : (big_f(sK1(sK0,sK0,X0),sK0,sK0) | big_f(X0,sK0,sK0)) )), 0.07/0.31 inference(resolution,[],[f144,f124])). 0.07/0.31 fof(f163,plain,( 0.07/0.31 ( ! [X4] : (big_f(X4,sK0,sK0) | big_f(X4,sK0,sK0) | big_f(sK0,sK0,X4)) )), 0.07/0.31 inference(resolution,[],[f145,f19])). 0.07/0.31 fof(f166,plain,( 0.07/0.31 ( ! [X4] : (big_f(sK0,sK0,X4) | big_f(X4,sK0,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f163])). 0.07/0.31 fof(f176,plain,( 0.07/0.31 ( ! [X4] : (big_f(X4,sK0,sK0) | big_f(sK0,X4,sK0) | big_f(X4,sK0,sK0)) )), 0.07/0.31 inference(resolution,[],[f166,f41])). 0.07/0.31 fof(f177,plain,( 0.07/0.31 big_f(sK0,sK0,sK0) | big_f(sK0,sK0,sK0)), 0.07/0.31 inference(resolution,[],[f166,f144])). 0.07/0.31 fof(f189,plain,( 0.07/0.31 big_f(sK0,sK0,sK0)), 0.07/0.31 inference(duplicate_literal_removal,[],[f177])). 0.07/0.31 fof(f190,plain,( 0.07/0.31 ( ! [X4] : (big_f(sK0,X4,sK0) | big_f(X4,sK0,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f176])). 0.07/0.31 fof(f222,plain,( 0.07/0.31 ~big_f(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0))), 0.07/0.31 inference(unit_resulting_resolution,[],[f189,f189,f189,f26])). 0.07/0.31 fof(f284,plain,( 0.07/0.31 ( ! [X0] : (big_f(X0,sK0,sK0) | big_f(X0,sK0,sK0)) )), 0.07/0.31 inference(resolution,[],[f190,f144])). 0.07/0.31 fof(f295,plain,( 0.07/0.31 ( ! [X0] : (big_f(X0,sK0,sK0)) )), 0.07/0.31 inference(duplicate_literal_removal,[],[f284])). 0.07/0.31 fof(f302,plain,( 0.07/0.31 ( ! [X0] : (big_f(sK0,X0,sK0)) )), 0.07/0.31 inference(unit_resulting_resolution,[],[f295,f112])). 0.07/0.31 fof(f438,plain,( 0.07/0.31 ( ! [X0] : (big_f(sK0,sK0,X0)) )), 0.07/0.31 inference(unit_resulting_resolution,[],[f302,f302,f17])). 0.07/0.31 fof(f663,plain,( 0.07/0.31 big_f(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)))), 0.07/0.31 inference(unit_resulting_resolution,[],[f222,f11])). 0.07/0.31 fof(f664,plain,( 0.07/0.31 big_f(sK1(sK0,sK0,sK0),sK1(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)),sK1(sK0,sK0,sK0))), 0.07/0.31 inference(unit_resulting_resolution,[],[f222,f15])). 0.07/0.31 fof(f668,plain,( 0.07/0.31 ~big_f(sK1(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0))), 0.07/0.31 inference(unit_resulting_resolution,[],[f222,f222,f20])). 0.07/0.31 fof(f1129,plain,( 0.07/0.31 big_f(sK1(sK1(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)),sK1(sK0,sK0,sK0),sK1(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)))), 0.07/0.31 inference(unit_resulting_resolution,[],[f663,f664,f21])). 0.07/0.31 fof(f1138,plain,( 0.07/0.31 ~big_f(sK1(sK0,sK0,sK0),sK1(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)),sK1(sK1(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)))), 0.07/0.31 inference(unit_resulting_resolution,[],[f664,f668,f14])). 0.07/0.31 fof(f1140,plain,( 0.07/0.31 ~big_f(sK1(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)),sK1(sK1(sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)),sK1(sK0,sK0,sK0),sK1(sK0,sK0,sK0)),sK1(sK0,sK0,sK0))), 0.07/0.31 inference(unit_resulting_resolution,[],[f663,f668,f17])). 0.07/0.31 fof(f2016,plain,( 0.07/0.31 $false), 0.07/0.31 inference(unit_resulting_resolution,[],[f1129,f1138,f438,f1140,f10])). 0.07/0.31 % SZS output end Proof for theBenchmark 0.07/0.31 % ------------------------------ 0.07/0.31 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.07/0.31 % Termination reason: Refutation 0.07/0.31 0.07/0.31 % Memory used [KB]: 5500 0.07/0.31 % Time elapsed: 0.033 s 0.07/0.31 % ------------------------------ 0.07/0.31 % ------------------------------ 0.07/0.31 % Success in time 0.063 s 0.07/0.31 EOF