0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.11 % Command : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox2/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox2/solver/bin/res/iproveropt_no_z3 0.11/0.32 % Computer : n006.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 04:39:29 EDT 2022 0.11/0.32 % CPUTime : 8.82/2.29 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 8.82/2.29 8.82/2.29 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 8.82/2.29 8.82/2.29 ------ iProver source info 8.82/2.29 8.82/2.29 git: date: 2022-07-26 19:47:37 +0300 8.82/2.29 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 8.82/2.29 git: non_committed_changes: false 8.82/2.29 git: last_make_outside_of_git: false 8.82/2.29 8.82/2.29 ------ Parsing... 8.82/2.29 ------ Clausification by vclausify_rel & Parsing by iProver... 8.82/2.29 8.82/2.29 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e 8.82/2.29 8.82/2.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 8.82/2.29 8.82/2.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 8.82/2.29 ------ Proving... 8.82/2.29 ------ Problem Properties 8.82/2.29 8.82/2.29 8.82/2.29 clauses 221 8.82/2.29 conjectures 4 8.82/2.29 EPR 46 8.82/2.29 Horn 171 8.82/2.29 unary 31 8.82/2.29 binary 47 8.82/2.29 lits 738 8.82/2.29 lits eq 104 8.82/2.29 fd_pure 0 8.82/2.29 fd_pseudo 0 8.82/2.29 fd_cond 10 8.82/2.29 fd_pseudo_cond 30 8.82/2.29 AC symbols 0 8.82/2.29 8.82/2.29 ------ Input Options Time Limit: Unbounded 8.82/2.29 8.82/2.29 8.82/2.29 ------ 8.82/2.29 Current options: 8.82/2.29 ------ 8.82/2.29 8.82/2.29 8.82/2.29 8.82/2.29 8.82/2.29 ------ Proving... 8.82/2.29 8.82/2.29 8.82/2.29 % SZS status Theorem for theBenchmark.p 8.82/2.29 8.82/2.29 % SZS output start CNFRefutation for theBenchmark.p 8.82/2.29 8.82/2.29 fof(f32,axiom,( 8.82/2.29 aElementOf0(xi,szNzAzT0) & aElementOf0(xj,szNzAzT0)), 8.82/2.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3786)). 8.82/2.29 8.82/2.29 fof(f435,plain,( 8.82/2.29 aElementOf0(xj,szNzAzT0)), 8.82/2.29 inference(cnf_transformation,[],[f32])). 8.82/2.29 8.82/2.29 fof(f44,axiom,( 8.82/2.29 ! [X0] : (aElementOf0(X0,szNzAzT0) => (? [X1] : (szszuzczcdt0(X1) = X0 & aElementOf0(X1,szNzAzT0)) | sz00 = X0))), 8.82/2.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra)). 8.82/2.29 8.82/2.29 fof(f151,plain,( 8.82/2.29 ! [X0] : ((? [X1] : (szszuzczcdt0(X1) = X0 & aElementOf0(X1,szNzAzT0)) | sz00 = X0) | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(ennf_transformation,[],[f44])). 8.82/2.29 8.82/2.29 fof(f152,plain,( 8.82/2.29 ! [X0] : (? [X1] : (szszuzczcdt0(X1) = X0 & aElementOf0(X1,szNzAzT0)) | sz00 = X0 | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(flattening,[],[f151])). 8.82/2.29 8.82/2.29 fof(f290,plain,( 8.82/2.29 ! [X0] : (? [X1] : (szszuzczcdt0(X1) = X0 & aElementOf0(X1,szNzAzT0)) => (szszuzczcdt0(sK24(X0)) = X0 & aElementOf0(sK24(X0),szNzAzT0)))), 8.82/2.29 introduced(choice_axiom,[])). 8.82/2.29 8.82/2.29 fof(f291,plain,( 8.82/2.29 ! [X0] : ((szszuzczcdt0(sK24(X0)) = X0 & aElementOf0(sK24(X0),szNzAzT0)) | sz00 = X0 | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f152,f290])). 8.82/2.29 8.82/2.29 fof(f448,plain,( 8.82/2.29 ( ! [X0] : (aElementOf0(sK24(X0),szNzAzT0) | sz00 = X0 | ~aElementOf0(X0,szNzAzT0)) )), 8.82/2.29 inference(cnf_transformation,[],[f291])). 8.82/2.29 8.82/2.29 fof(f84,axiom,( 8.82/2.29 ! [X0] : (aSet0(X0) => ! [X1] : (aElementOf0(X1,X0) => aElement0(X1)))), 8.82/2.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem)). 8.82/2.29 8.82/2.29 fof(f209,plain,( 8.82/2.29 ! [X0] : (! [X1] : (aElement0(X1) | ~aElementOf0(X1,X0)) | ~aSet0(X0))), 8.82/2.29 inference(ennf_transformation,[],[f84])). 8.82/2.29 8.82/2.29 fof(f565,plain,( 8.82/2.29 ( ! [X0,X1] : (aElement0(X1) | ~aElementOf0(X1,X0) | ~aSet0(X0)) )), 8.82/2.29 inference(cnf_transformation,[],[f209])). 8.82/2.29 8.82/2.29 fof(f62,axiom,( 8.82/2.29 ! [X0] : (aElementOf0(X0,szNzAzT0) => (aElementOf0(szszuzczcdt0(X0),szNzAzT0) & szszuzczcdt0(X0) != sz00))), 8.82/2.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum)). 8.82/2.29 8.82/2.29 fof(f178,plain,( 8.82/2.29 ! [X0] : ((aElementOf0(szszuzczcdt0(X0),szNzAzT0) & szszuzczcdt0(X0) != sz00) | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(ennf_transformation,[],[f62])). 8.82/2.29 8.82/2.29 fof(f504,plain,( 8.82/2.29 ( ! [X0] : (aElementOf0(szszuzczcdt0(X0),szNzAzT0) | ~aElementOf0(X0,szNzAzT0)) )), 8.82/2.29 inference(cnf_transformation,[],[f178])). 8.82/2.29 8.82/2.29 fof(f7,axiom,( 8.82/2.29 ! [X0] : (aElementOf0(X0,szNzAzT0) => ! [X1] : (slbdtrb0(X0) = X1 <=> (! [X2] : (aElementOf0(X2,X1) <=> (sdtlseqdt0(szszuzczcdt0(X2),X0) & aElementOf0(X2,szNzAzT0))) & aSet0(X1))))), 8.82/2.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg)). 8.82/2.29 8.82/2.29 fof(f109,plain,( 8.82/2.29 ! [X0] : (! [X1] : (slbdtrb0(X0) = X1 <=> (! [X2] : (aElementOf0(X2,X1) <=> (sdtlseqdt0(szszuzczcdt0(X2),X0) & aElementOf0(X2,szNzAzT0))) & aSet0(X1))) | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(ennf_transformation,[],[f7])). 8.82/2.29 8.82/2.29 fof(f258,plain,( 8.82/2.29 ! [X0] : (! [X1] : ((slbdtrb0(X0) = X1 | (? [X2] : (((~sdtlseqdt0(szszuzczcdt0(X2),X0) | ~aElementOf0(X2,szNzAzT0)) | ~aElementOf0(X2,X1)) & ((sdtlseqdt0(szszuzczcdt0(X2),X0) & aElementOf0(X2,szNzAzT0)) | aElementOf0(X2,X1))) | ~aSet0(X1))) & ((! [X2] : ((aElementOf0(X2,X1) | (~sdtlseqdt0(szszuzczcdt0(X2),X0) | ~aElementOf0(X2,szNzAzT0))) & ((sdtlseqdt0(szszuzczcdt0(X2),X0) & aElementOf0(X2,szNzAzT0)) | ~aElementOf0(X2,X1))) & aSet0(X1)) | slbdtrb0(X0) != X1)) | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(nnf_transformation,[],[f109])). 8.82/2.29 8.82/2.29 fof(f259,plain,( 8.82/2.29 ! [X0] : (! [X1] : ((slbdtrb0(X0) = X1 | ? [X2] : ((~sdtlseqdt0(szszuzczcdt0(X2),X0) | ~aElementOf0(X2,szNzAzT0) | ~aElementOf0(X2,X1)) & ((sdtlseqdt0(szszuzczcdt0(X2),X0) & aElementOf0(X2,szNzAzT0)) | aElementOf0(X2,X1))) | ~aSet0(X1)) & ((! [X2] : ((aElementOf0(X2,X1) | ~sdtlseqdt0(szszuzczcdt0(X2),X0) | ~aElementOf0(X2,szNzAzT0)) & ((sdtlseqdt0(szszuzczcdt0(X2),X0) & aElementOf0(X2,szNzAzT0)) | ~aElementOf0(X2,X1))) & aSet0(X1)) | slbdtrb0(X0) != X1)) | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(flattening,[],[f258])). 8.82/2.29 8.82/2.29 fof(f260,plain,( 8.82/2.29 ! [X0] : (! [X1] : ((slbdtrb0(X0) = X1 | ? [X2] : ((~sdtlseqdt0(szszuzczcdt0(X2),X0) | ~aElementOf0(X2,szNzAzT0) | ~aElementOf0(X2,X1)) & ((sdtlseqdt0(szszuzczcdt0(X2),X0) & aElementOf0(X2,szNzAzT0)) | aElementOf0(X2,X1))) | ~aSet0(X1)) & ((! [X3] : ((aElementOf0(X3,X1) | ~sdtlseqdt0(szszuzczcdt0(X3),X0) | ~aElementOf0(X3,szNzAzT0)) & ((sdtlseqdt0(szszuzczcdt0(X3),X0) & aElementOf0(X3,szNzAzT0)) | ~aElementOf0(X3,X1))) & aSet0(X1)) | slbdtrb0(X0) != X1)) | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(rectify,[],[f259])). 8.82/2.29 8.82/2.29 fof(f261,plain,( 8.82/2.29 ! [X0,X1] : (? [X2] : ((~sdtlseqdt0(szszuzczcdt0(X2),X0) | ~aElementOf0(X2,szNzAzT0) | ~aElementOf0(X2,X1)) & ((sdtlseqdt0(szszuzczcdt0(X2),X0) & aElementOf0(X2,szNzAzT0)) | aElementOf0(X2,X1))) => ((~sdtlseqdt0(szszuzczcdt0(sK16(X0,X1)),X0) | ~aElementOf0(sK16(X0,X1),szNzAzT0) | ~aElementOf0(sK16(X0,X1),X1)) & ((sdtlseqdt0(szszuzczcdt0(sK16(X0,X1)),X0) & aElementOf0(sK16(X0,X1),szNzAzT0)) | aElementOf0(sK16(X0,X1),X1))))), 8.82/2.29 introduced(choice_axiom,[])). 8.82/2.29 8.82/2.29 fof(f262,plain,( 8.82/2.29 ! [X0] : (! [X1] : ((slbdtrb0(X0) = X1 | ((~sdtlseqdt0(szszuzczcdt0(sK16(X0,X1)),X0) | ~aElementOf0(sK16(X0,X1),szNzAzT0) | ~aElementOf0(sK16(X0,X1),X1)) & ((sdtlseqdt0(szszuzczcdt0(sK16(X0,X1)),X0) & aElementOf0(sK16(X0,X1),szNzAzT0)) | aElementOf0(sK16(X0,X1),X1))) | ~aSet0(X1)) & ((! [X3] : ((aElementOf0(X3,X1) | ~sdtlseqdt0(szszuzczcdt0(X3),X0) | ~aElementOf0(X3,szNzAzT0)) & ((sdtlseqdt0(szszuzczcdt0(X3),X0) & aElementOf0(X3,szNzAzT0)) | ~aElementOf0(X3,X1))) & aSet0(X1)) | slbdtrb0(X0) != X1)) | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f260,f261])). 8.82/2.29 8.82/2.29 fof(f376,plain,( 8.82/2.29 ( ! [X0,X1] : (aSet0(X1) | slbdtrb0(X0) != X1 | ~aElementOf0(X0,szNzAzT0)) )), 8.82/2.29 inference(cnf_transformation,[],[f262])). 8.82/2.29 8.82/2.29 fof(f582,plain,( 8.82/2.29 ( ! [X0] : (aSet0(slbdtrb0(X0)) | ~aElementOf0(X0,szNzAzT0)) )), 8.82/2.29 inference(equality_resolution,[],[f376])). 8.82/2.29 8.82/2.29 fof(f68,axiom,( 8.82/2.29 aElementOf0(sz00,szNzAzT0)), 8.82/2.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum)). 8.82/2.29 8.82/2.29 fof(f512,plain,( 8.82/2.29 aElementOf0(sz00,szNzAzT0)), 8.82/2.29 inference(cnf_transformation,[],[f68])). 8.82/2.29 8.82/2.29 fof(f30,axiom,( 8.82/2.29 ! [X0] : (aElementOf0(X0,szNzAzT0) => sdtlseqdt0(sz00,X0))), 8.82/2.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess)). 8.82/2.29 8.82/2.29 fof(f134,plain,( 8.82/2.29 ! [X0] : (sdtlseqdt0(sz00,X0) | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(ennf_transformation,[],[f30])). 8.82/2.29 8.82/2.29 fof(f434,plain,( 8.82/2.29 ( ! [X0] : (sdtlseqdt0(sz00,X0) | ~aElementOf0(X0,szNzAzT0)) )), 8.82/2.29 inference(cnf_transformation,[],[f134])). 8.82/2.29 8.82/2.29 fof(f60,axiom,( 8.82/2.29 ! [X0,X1] : ((aElementOf0(X1,szNzAzT0) & aElementOf0(X0,szNzAzT0)) => ((sdtlseqdt0(X1,X0) & sdtlseqdt0(X0,X1)) => X0 = X1))), 8.82/2.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm)). 8.82/2.29 8.82/2.29 fof(f174,plain,( 8.82/2.29 ! [X0,X1] : ((X0 = X1 | (~sdtlseqdt0(X1,X0) | ~sdtlseqdt0(X0,X1))) | (~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0)))), 8.82/2.29 inference(ennf_transformation,[],[f60])). 8.82/2.29 8.82/2.29 fof(f175,plain,( 8.82/2.29 ! [X0,X1] : (X0 = X1 | ~sdtlseqdt0(X1,X0) | ~sdtlseqdt0(X0,X1) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0))), 8.82/2.29 inference(flattening,[],[f174])). 8.82/2.29 8.82/2.29 fof(f501,plain,( 8.82/2.29 ( ! [X0,X1] : (X0 = X1 | ~sdtlseqdt0(X1,X0) | ~sdtlseqdt0(X0,X1) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0)) )), 8.82/2.29 inference(cnf_transformation,[],[f175])). 8.82/2.29 8.82/2.29 fof(f436,plain,( 8.82/2.29 aElementOf0(xi,szNzAzT0)), 8.82/2.29 inference(cnf_transformation,[],[f32])). 8.82/2.29 8.82/2.29 fof(f449,plain,( 8.82/2.29 ( ! [X0] : (szszuzczcdt0(sK24(X0)) = X0 | sz00 = X0 | ~aElementOf0(X0,szNzAzT0)) )), 8.82/2.29 inference(cnf_transformation,[],[f291])). 8.82/2.29 8.82/2.29 fof(f18,conjecture,( 8.82/2.29 sdtlseqdt0(xj,xi) => (! [X0] : (aElementOf0(X0,sdtlpdtrp0(xN,xi)) => aElementOf0(X0,sdtlpdtrp0(xN,xj))) | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))), 8.82/2.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__)). 8.82/2.29 8.82/2.29 fof(f19,negated_conjecture,( 8.82/2.29 ~(sdtlseqdt0(xj,xi) => (! [X0] : (aElementOf0(X0,sdtlpdtrp0(xN,xi)) => aElementOf0(X0,sdtlpdtrp0(xN,xj))) | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))), 8.82/2.29 inference(negated_conjecture,[],[f18])). 8.82/2.29 8.82/2.29 fof(f124,plain,( 8.82/2.29 (? [X0] : (~aElementOf0(X0,sdtlpdtrp0(xN,xj)) & aElementOf0(X0,sdtlpdtrp0(xN,xi))) & ~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))) & sdtlseqdt0(xj,xi)), 8.82/2.29 inference(ennf_transformation,[],[f19])). 8.82/2.29 8.82/2.29 fof(f125,plain,( 8.82/2.29 ? [X0] : (~aElementOf0(X0,sdtlpdtrp0(xN,xj)) & aElementOf0(X0,sdtlpdtrp0(xN,xi))) & ~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) & sdtlseqdt0(xj,xi)), 8.82/2.29 inference(flattening,[],[f124])). 8.82/2.29 8.82/2.29 fof(f286,plain,( 8.82/2.29 ? [X0] : (~aElementOf0(X0,sdtlpdtrp0(xN,xj)) & aElementOf0(X0,sdtlpdtrp0(xN,xi))) => (~aElementOf0(sK23,sdtlpdtrp0(xN,xj)) & aElementOf0(sK23,sdtlpdtrp0(xN,xi)))), 8.82/2.29 introduced(choice_axiom,[])). 8.82/2.29 8.82/2.29 fof(f287,plain,( 8.82/2.29 (~aElementOf0(sK23,sdtlpdtrp0(xN,xj)) & aElementOf0(sK23,sdtlpdtrp0(xN,xi))) & ~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) & sdtlseqdt0(xj,xi)), 8.82/2.29 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f125,f286])). 8.82/2.29 8.82/2.29 fof(f417,plain,( 8.82/2.29 sdtlseqdt0(xj,xi)), 8.82/2.29 inference(cnf_transformation,[],[f287])). 8.82/2.29 8.82/2.29 fof(f418,plain,( 8.82/2.29 ~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))), 8.82/2.29 inference(cnf_transformation,[],[f287])). 8.82/2.29 8.82/2.29 fof(f420,plain,( 8.82/2.29 ~aElementOf0(sK23,sdtlpdtrp0(xN,xj))), 8.82/2.29 inference(cnf_transformation,[],[f287])). 8.82/2.29 8.82/2.29 fof(f419,plain,( 8.82/2.29 aElementOf0(sK23,sdtlpdtrp0(xN,xi))), 8.82/2.29 inference(cnf_transformation,[],[f287])). 8.82/2.29 8.82/2.29 cnf(c_148,plain, 8.82/2.29 ( aElementOf0(xj,szNzAzT0) ), 8.82/2.29 inference(cnf_transformation,[],[f435]) ). 8.82/2.29 8.82/2.29 cnf(c_161,plain, 8.82/2.29 ( ~ aElementOf0(X0,szNzAzT0) 8.82/2.29 | X0 = sz00 8.82/2.29 | aElementOf0(sK24(X0),szNzAzT0) ), 8.82/2.29 inference(cnf_transformation,[],[f448]) ). 8.82/2.29 8.82/2.29 cnf(c_229,plain, 8.82/2.29 ( ~ aElementOf0(X0,szNzAzT0) 8.82/2.29 | aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0))) ), 8.82/2.29 inference(cnf_transformation,[],[f614]) ). 8.82/2.29 8.82/2.29 cnf(c_277,plain, 8.82/2.29 ( ~ aElementOf0(X0,X1) | ~ aSet0(X1) | aElement0(X0) ), 8.82/2.29 inference(cnf_transformation,[],[f565]) ). 8.82/2.29 8.82/2.29 cnf(c_18131,plain, 8.82/2.29 ( ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) 8.82/2.29 | ~ aElementOf0(X0,szNzAzT0) 8.82/2.29 | aElement0(X0) ), 8.82/2.29 inference(superposition,[status(thm)],[c_229,c_277]) ). 8.82/2.29 8.82/2.29 cnf(c_215,plain, 8.82/2.29 ( ~ aElementOf0(X0,szNzAzT0) 8.82/2.29 | aElementOf0(szszuzczcdt0(X0),szNzAzT0) ), 8.82/2.29 inference(cnf_transformation,[],[f504]) ). 8.82/2.29 8.82/2.29 cnf(c_94,plain, 8.82/2.29 ( ~ aElementOf0(X0,szNzAzT0) | aSet0(slbdtrb0(X0)) ), 8.82/2.29 inference(cnf_transformation,[],[f582]) ). 8.82/2.29 8.82/2.29 cnf(c_10345,plain, 8.82/2.29 ( ~ aElementOf0(X0,szNzAzT0) | aSet0(slbdtrb0(szszuzczcdt0(X0))) ), 8.82/2.29 inference(superposition,[status(thm)],[c_215,c_94]) ). 8.82/2.29 8.82/2.29 cnf(c_10662,plain, 8.82/2.29 ( ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) 8.82/2.29 | ~ aElementOf0(X0,szNzAzT0) 8.82/2.29 | aElement0(X0) ), 8.82/2.29 inference(superposition,[status(thm)],[c_229,c_277]) ). 8.82/2.29 8.82/2.29 cnf(c_18300,plain, 8.82/2.29 ( ~ aElementOf0(X0,szNzAzT0) | aElement0(X0) ), 8.82/2.29 inference(global_propositional_subsumption, 8.82/2.29 [status(thm)], 8.82/2.29 [c_18131,c_10345,c_10662]) ). 8.82/2.29 8.82/2.29 cnf(c_18352,plain, 8.82/2.29 ( ~ aElementOf0(X0,szNzAzT0) | X0 = sz00 | aElement0(sK24(X0)) ), 8.82/2.29 inference(superposition,[status(thm)],[c_161,c_18300]) ). 8.82/2.29 8.82/2.29 cnf(c_18414,plain, 8.82/2.29 ( xj = sz00 | aElement0(sK24(xj)) ), 8.82/2.29 inference(superposition,[status(thm)],[c_148,c_18352]) ). 8.82/2.29 8.82/2.29 cnf(c_224,plain, 8.82/2.29 ( aElementOf0(sz00,szNzAzT0) ), 8.82/2.29 inference(cnf_transformation,[],[f512]) ). 8.82/2.29 8.82/2.29 cnf(c_146,plain, 8.82/2.29 ( ~ aElementOf0(X0,szNzAzT0) | sdtlseqdt0(sz00,X0) ), 8.82/2.29 inference(cnf_transformation,[],[f434]) ). 8.82/2.29 8.82/2.29 cnf(c_9826,plain, 8.82/2.29 ( ~ aElementOf0(xj,szNzAzT0) | sdtlseqdt0(sz00,xj) ), 8.82/2.29 inference(instantiation,[status(thm)],[c_146]) ). 8.82/2.29 8.82/2.29 cnf(c_213,plain, 8.82/2.29 ( ~ sdtlseqdt0(X0,X1) 8.82/2.29 | ~ sdtlseqdt0(X1,X0) 8.82/2.29 | ~ aElementOf0(X0,szNzAzT0) 8.82/2.29 | ~ aElementOf0(X1,szNzAzT0) 8.82/2.29 | X0 = X1 ), 8.82/2.29 inference(cnf_transformation,[],[f501]) ). 8.82/2.29 8.82/2.29 cnf(c_13381,plain, 8.82/2.29 ( ~ aElementOf0(xj,szNzAzT0) 8.82/2.29 | ~ aElementOf0(sz00,szNzAzT0) 8.82/2.29 | ~ sdtlseqdt0(xj,sz00) 8.82/2.29 | ~ sdtlseqdt0(sz00,xj) 8.82/2.29 | xj = sz00 ), 8.82/2.29 inference(instantiation,[status(thm)],[c_213]) ). 8.82/2.29 8.82/2.29 cnf(c_147,plain, 8.82/2.29 ( aElementOf0(xi,szNzAzT0) ), 8.82/2.29 inference(cnf_transformation,[],[f436]) ). 8.82/2.29 8.82/2.29 cnf(c_18413,plain, 8.82/2.29 ( xi = sz00 | aElement0(sK24(xi)) ), 8.82/2.29 inference(superposition,[status(thm)],[c_147,c_18352]) ). 8.82/2.29 8.82/2.29 cnf(c_9929,plain, 8.82/2.29 ( ~ aElementOf0(xi,szNzAzT0) 8.82/2.29 | xi = sz00 8.82/2.29 | aElementOf0(sK24(xi),szNzAzT0) ), 8.82/2.29 inference(instantiation,[status(thm)],[c_161]) ). 8.82/2.29 8.82/2.29 cnf(c_160,plain, 8.82/2.29 ( ~ aElementOf0(X0,szNzAzT0) 8.82/2.29 | szszuzczcdt0(sK24(X0)) = X0 8.82/2.29 | X0 = sz00 ), 8.82/2.29 inference(cnf_transformation,[],[f449]) ). 8.82/2.29 8.82/2.29 cnf(c_10231,plain, 8.82/2.29 ( ~ aElementOf0(xi,szNzAzT0) 8.82/2.29 | szszuzczcdt0(sK24(xi)) = xi 8.82/2.29 | xi = sz00 ), 8.82/2.29 inference(instantiation,[status(thm)],[c_160]) ). 8.82/2.29 8.82/2.29 cnf(c_134,plain, 8.82/2.29 ( szszuzczcdt0(X0) != xi 8.82/2.29 | ~ aElementOf0(X0,szNzAzT0) 8.82/2.29 | ~ sdtlseqdt0(xj,xi) 8.82/2.29 | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ), 8.82/2.29 inference(cnf_transformation,[],[f612]) ). 8.82/2.29 8.82/2.29 cnf(c_135,plain, 8.82/2.29 ( szszuzczcdt0(X0) != xi 8.82/2.29 | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) 8.82/2.29 | ~ aElementOf0(X0,szNzAzT0) 8.82/2.29 | ~ sdtlseqdt0(xj,xi) 8.82/2.29 | aElementOf0(X1,sdtlpdtrp0(xN,xj)) ), 8.82/2.29 inference(cnf_transformation,[],[f613]) ). 8.82/2.29 8.82/2.29 cnf(c_132,negated_conjecture, 8.82/2.29 ( sdtlseqdt0(xj,xi) ), 8.82/2.29 inference(cnf_transformation,[],[f417]) ). 8.82/2.29 8.82/2.29 cnf(c_131,negated_conjecture, 8.82/2.29 ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ), 8.82/2.29 inference(cnf_transformation,[],[f418]) ). 8.82/2.29 8.82/2.29 cnf(c_476,plain, 8.82/2.29 ( szszuzczcdt0(X0) != xi | ~ aElementOf0(X0,szNzAzT0) ), 8.82/2.29 inference(global_propositional_subsumption, 8.82/2.29 [status(thm)], 8.82/2.29 [c_135,c_132,c_131,c_134]) ). 8.82/2.29 8.82/2.29 cnf(c_479,plain, 8.82/2.29 ( szszuzczcdt0(X0) != xi | ~ aElementOf0(X0,szNzAzT0) ), 8.82/2.29 inference(global_propositional_subsumption, 8.82/2.29 [status(thm)], 8.82/2.29 [c_134,c_132,c_131]) ). 8.82/2.29 8.82/2.29 cnf(c_17997,plain, 8.82/2.29 ( szszuzczcdt0(sK24(xi)) != xi | ~ aElementOf0(sK24(xi),szNzAzT0) ), 8.82/2.29 inference(instantiation,[status(thm)],[c_479]) ). 8.82/2.29 8.82/2.29 cnf(c_18422,plain, 8.82/2.29 ( xi = sz00 ), 8.82/2.29 inference(global_propositional_subsumption, 8.82/2.29 [status(thm)], 8.82/2.29 [c_18413,c_147,c_9929,c_10231,c_17997]) ). 8.82/2.29 8.82/2.29 cnf(c_18436,plain, 8.82/2.29 ( sdtlseqdt0(xj,sz00) ), 8.82/2.29 inference(superposition,[status(thm)],[c_18422,c_132]) ). 8.82/2.29 8.82/2.29 cnf(c_18450,plain, 8.82/2.29 ( xj = sz00 ), 8.82/2.29 inference(global_propositional_subsumption, 8.82/2.29 [status(thm)], 8.82/2.29 [c_18414,c_224,c_148,c_9826,c_13381,c_18436]) ). 8.82/2.29 8.82/2.29 cnf(c_129,negated_conjecture, 8.82/2.29 ( ~ aElementOf0(sK23,sdtlpdtrp0(xN,xj)) ), 8.82/2.29 inference(cnf_transformation,[],[f420]) ). 8.82/2.29 8.82/2.29 cnf(c_18462,plain, 8.82/2.29 ( ~ aElementOf0(sK23,sdtlpdtrp0(xN,sz00)) ), 8.82/2.29 inference(superposition,[status(thm)],[c_18450,c_129]) ). 8.82/2.29 8.82/2.29 cnf(c_130,negated_conjecture, 8.82/2.29 ( aElementOf0(sK23,sdtlpdtrp0(xN,xi)) ), 8.82/2.29 inference(cnf_transformation,[],[f419]) ). 8.82/2.29 8.82/2.29 cnf(c_18435,plain, 8.82/2.29 ( aElementOf0(sK23,sdtlpdtrp0(xN,sz00)) ), 8.82/2.29 inference(superposition,[status(thm)],[c_18422,c_130]) ). 8.82/2.29 8.82/2.29 cnf(contradiction,plain, 8.82/2.29 ( $false ), 8.82/2.29 inference(minisat,[status(thm)],[c_18462,c_18435]) ). 8.82/2.29 8.82/2.29 8.82/2.29 % SZS output end CNFRefutation for theBenchmark.p 8.82/2.29 8.82/2.29 ------ Statistics 8.82/2.29 8.82/2.29 ------ Selected 8.82/2.29 8.82/2.29 total_time: 0.821 8.82/2.29 8.83/2.32 EOF