0.07/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.16 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.39 % Computer : n022.cluster.edu 0.12/0.39 % Model : x86_64 x86_64 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.39 % Memory : 8042.1875MB 0.12/0.39 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.39 % CPULimit : 180 0.12/0.39 % DateTime : Thu Aug 29 14:13:43 EDT 2019 0.12/0.39 % CPUTime : 0.88/1.84 ============================== Prover9 =============================== 0.88/1.84 Prover9 (32) version 2009-11A, November 2009. 0.88/1.84 Process 25517 was started by sandbox on n022.cluster.edu, 0.88/1.84 Thu Aug 29 14:13:45 2019 0.88/1.84 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_25203_n022.cluster.edu". 0.88/1.84 ============================== end of head =========================== 0.88/1.84 0.88/1.84 ============================== INPUT ================================= 0.88/1.84 0.88/1.84 % Reading from file /tmp/Prover9_25203_n022.cluster.edu 0.88/1.84 0.88/1.84 set(prolog_style_variables). 0.88/1.84 set(auto2). 0.88/1.84 % set(auto2) -> set(auto). 0.88/1.84 % set(auto) -> set(auto_inference). 0.88/1.84 % set(auto) -> set(auto_setup). 0.88/1.84 % set(auto_setup) -> set(predicate_elim). 0.88/1.84 % set(auto_setup) -> assign(eq_defs, unfold). 0.88/1.84 % set(auto) -> set(auto_limits). 0.88/1.84 % set(auto_limits) -> assign(max_weight, "100.000"). 0.88/1.84 % set(auto_limits) -> assign(sos_limit, 20000). 0.88/1.84 % set(auto) -> set(auto_denials). 0.88/1.84 % set(auto) -> set(auto_process). 0.88/1.84 % set(auto2) -> assign(new_constants, 1). 0.88/1.84 % set(auto2) -> assign(fold_denial_max, 3). 0.88/1.84 % set(auto2) -> assign(max_weight, "200.000"). 0.88/1.84 % set(auto2) -> assign(max_hours, 1). 0.88/1.84 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.88/1.84 % set(auto2) -> assign(max_seconds, 0). 0.88/1.84 % set(auto2) -> assign(max_minutes, 5). 0.88/1.84 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.88/1.84 % set(auto2) -> set(sort_initial_sos). 0.88/1.84 % set(auto2) -> assign(sos_limit, -1). 0.88/1.84 % set(auto2) -> assign(lrs_ticks, 3000). 0.88/1.84 % set(auto2) -> assign(max_megs, 400). 0.88/1.84 % set(auto2) -> assign(stats, some). 0.88/1.84 % set(auto2) -> clear(echo_input). 0.88/1.84 % set(auto2) -> set(quiet). 0.88/1.84 % set(auto2) -> clear(print_initial_clauses). 0.88/1.84 % set(auto2) -> clear(print_given). 0.88/1.84 assign(lrs_ticks,-1). 0.88/1.84 assign(sos_limit,10000). 0.88/1.84 assign(order,kbo). 0.88/1.84 set(lex_order_vars). 0.88/1.84 clear(print_given). 0.88/1.84 0.88/1.84 % formulas(sos). % not echoed (89 formulas) 0.88/1.84 0.88/1.84 ============================== end of input ========================== 0.88/1.84 0.88/1.84 % From the command line: assign(max_seconds, 180). 0.88/1.84 0.88/1.84 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.88/1.84 0.88/1.84 % Formulas that are not ordinary clauses: 0.88/1.84 1 (all W0 (W0 = slcrc0 <-> aSet0(W0) & -(exists W1 aElementOf0(W1,W0)))) # label(mDefEmp) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 2 (all W0 (aSet0(W0) -> (all W1 (aSubsetOf0(W1,W0) <-> aSet0(W1) & (all W2 (aElementOf0(W2,W1) -> aElementOf0(W2,W0))))))) # label(mDefSub) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 3 (all W0 all W1 (aSet0(W0) & aElement0(W1) -> (all W2 (W2 = sdtpldt0(W0,W1) <-> aSet0(W2) & (all W3 (aElementOf0(W3,W2) <-> aElement0(W3) & (aElementOf0(W3,W0) | W3 = W1))))))) # label(mDefCons) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 4 (all W0 all W1 (aSet0(W0) & aElement0(W1) -> (all W2 (W2 = sdtmndt0(W0,W1) <-> aSet0(W2) & (all W3 (aElementOf0(W3,W2) <-> aElement0(W3) & aElementOf0(W3,W0) & W3 != W1)))))) # label(mDefDiff) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 5 (all W0 (aSubsetOf0(W0,szNzAzT0) & W0 != slcrc0 -> (all W1 (W1 = szmzizndt0(W0) <-> aElementOf0(W1,W0) & (all W2 (aElementOf0(W2,W0) -> sdtlseqdt0(W1,W2))))))) # label(mDefMin) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 6 (all W0 (aSubsetOf0(W0,szNzAzT0) & isFinite0(W0) & W0 != slcrc0 -> (all W1 (W1 = szmzazxdt0(W0) <-> aElementOf0(W1,W0) & (all W2 (aElementOf0(W2,W0) -> sdtlseqdt0(W2,W1))))))) # label(mDefMax) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 7 (all W0 (aElementOf0(W0,szNzAzT0) -> (all W1 (W1 = slbdtrb0(W0) <-> aSet0(W1) & (all W2 (aElementOf0(W2,W1) <-> aElementOf0(W2,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(W2),W0))))))) # label(mDefSeg) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 8 (all W0 all W1 (aSet0(W0) & aElementOf0(W1,szNzAzT0) -> (all W2 (W2 = slbdtsldtrb0(W0,W1) <-> aSet0(W2) & (all W3 (aElementOf0(W3,W2) <-> aSubsetOf0(W3,W0) & sbrdtbr0(W3) = W1)))))) # label(mDefSel) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 9 (all W0 all W1 (aFunction0(W0) & aElement0(W1) -> (all W2 (W2 = sdtlbdtrb0(W0,W1) <-> aSet0(W2) & (all W3 (aElementOf0(W3,W2) <-> aElementOf0(W3,szDzozmdt0(W0)) & sdtlpdtrp0(W0,W3) = W1)))))) # label(mDefPtt) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 10 (all W0 (aFunction0(W0) -> (all W1 (aSubsetOf0(W1,szDzozmdt0(W0)) -> (all W2 (W2 = sdtlcdtrc0(W0,W1) <-> aSet0(W2) & (all W3 (aElementOf0(W3,W2) <-> (exists W4 (aElementOf0(W4,W1) & sdtlpdtrp0(W0,W4) = W3)))))))))) # label(mDefSImg) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 11 (all W0 (aFunction0(W0) -> (all W1 (aSubsetOf0(W1,szDzozmdt0(W0)) -> (all W2 (W2 = sdtexdt0(W0,W1) <-> aFunction0(W2) & szDzozmdt0(W2) = W1 & (all W3 (aElementOf0(W3,W1) -> sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3))))))))) # label(mDefRst) # label(definition) # label(non_clause). [assumption]. 0.88/1.84 12 (all W0 all W1 (aElementOf0(W1,szNzAzT0) & aSet0(W0) -> (sdtlseqdt0(W1,sbrdtbr0(W0)) & isFinite0(W0) -> (exists W2 (aSubsetOf0(W2,W0) & sbrdtbr0(W2) = W1))))) # label(mCardSubEx) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 13 (all W0 all W1 (aElementOf0(W0,szNzAzT0) & aElementOf0(W1,szNzAzT0) -> (sdtlseqdt0(W0,W1) <-> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1))))) # label(mSuccLess) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 14 (all W0 (isCountable0(W0) & aSet0(W0) -> W0 != slcrc0)) # label(mCountNFin_01) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 15 (all W0 all W1 (aElementOf0(W0,szNzAzT0) & aElementOf0(W1,szNzAzT0) -> (szszuzczcdt0(W0) = szszuzczcdt0(W1) -> W1 = W0))) # label(mSuccEquSucc) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 16 (all W0 all W1 (aElementOf0(W1,szNzAzT0) & aElementOf0(W0,szNzAzT0) -> (iLess0(W0,W1) -> $T))) # label(mIHSort) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 17 (all W0 (aElementOf0(W0,xS) -> aElementOf0(W0,szNzAzT0))) # label(m__3435_AndLHS) # label(hypothesis) # label(non_clause). [assumption]. 0.88/1.84 18 (all W0 (aSubsetOf0(W0,szNzAzT0) & isFinite0(W0) -> (exists W1 (aSubsetOf0(W0,slbdtrb0(W1)) & aElementOf0(W1,szNzAzT0))))) # label(mFinSubSeg) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 19 (all W0 (aElementOf0(W0,szNzAzT0) -> W0 != szszuzczcdt0(W0))) # label(mNatNSucc) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 20 (all W0 (aElementOf0(W0,szNzAzT0) -> sdtlseqdt0(W0,szszuzczcdt0(W0)))) # label(mLessSucc) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 21 (all W0 (aSet0(W0) & isFinite0(W0) -> (all W1 (aElementOf0(W1,szNzAzT0) -> isFinite0(slbdtsldtrb0(W0,W1)))))) # label(mSelFSet) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 22 (all W0 (aSet0(W0) -> aSubsetOf0(W0,W0))) # label(mSubRefl) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 23 (all W0 (aElement0(W0) -> (all W1 (aSet0(W1) & isCountable0(W1) -> isCountable0(sdtmndt0(W1,W0)))))) # label(mCDiffSet) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 24 (all W0 (aSet0(W0) -> (isFinite0(W0) <-> aElementOf0(sbrdtbr0(W0),szNzAzT0)))) # label(mCardNum) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 25 (all W0 (aSet0(W0) -> $T)) # label(mSetSort) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 26 (all W0 all W1 (aSet0(W0) & aSet0(W1) -> (aSubsetOf0(W1,W0) & aSubsetOf0(W0,W1) -> W1 = W0))) # label(mSubASymm) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 27 (all W0 (aElementOf0(W0,szNzAzT0) -> W0 = sbrdtbr0(slbdtrb0(W0)))) # label(mCardSeg) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 28 (all W0 (aElementOf0(W0,szNzAzT0) -> aElementOf0(szszuzczcdt0(W0),szNzAzT0) & szszuzczcdt0(W0) != sz00)) # label(mSuccNum) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 29 (all W0 (aElement0(W0) -> (all W1 (aSet0(W1) & isFinite0(W1) -> isFinite0(sdtpldt0(W1,W0)))))) # label(mFConsSet) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 30 (all W0 all W1 (aElementOf0(W0,szNzAzT0) & aElementOf0(W1,szNzAzT0) -> (sdtlseqdt0(W0,W1) & sdtlseqdt0(W1,W0) -> W0 = W1))) # label(mLessASymm) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 31 (all W0 (aSet0(W0) & -isFinite0(W0) -> (all W1 (aElementOf0(W1,szNzAzT0) -> slbdtsldtrb0(W0,W1) != slcrc0)))) # label(mSelNSet) # label(axiom) # label(non_clause). [assumption]. 0.88/1.84 32 (all W0 all W1 all W2 (aElementOf0(W0,szNzAzT0) & aElementOf0(W2,szNzAzT0) & aElementOf0(W1,szNzAzT0) -> (sdtlseqdt0(W1,W2) & sdtlseqdt0(W0,W1) -> sdtlseqdt0(W0,W2)))) # label(mLessTrans) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 33 (all W0 (aFunction0(W0) -> (all W1 (aElementOf0(W1,szDzozmdt0(W0)) -> aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))))))) # label(mImgRng) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 34 (all W0 all W1 (aElementOf0(W0,szNzAzT0) & aElementOf0(W1,szNzAzT0) -> (sdtlseqdt0(W0,W1) -> $T))) # label(mLessRel) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 35 (all W0 (aSet0(W0) -> (all W1 (aElementOf0(W1,W0) -> W0 = sdtpldt0(sdtmndt0(W0,W1),W1))))) # label(mConsDiff) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 36 (all W0 (aFunction0(W0) -> (all W1 (isCountable0(W1) & aSubsetOf0(W1,szDzozmdt0(W0)) -> ((all W2 all W3 (aElementOf0(W2,szDzozmdt0(W0)) & aElementOf0(W3,szDzozmdt0(W0)) & W3 != W2 -> sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3))) -> isCountable0(sdtlcdtrc0(W0,W1))))))) # label(mImgCount) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 37 (all W0 (aElementOf0(W0,szNzAzT0) -> iLess0(W0,szszuzczcdt0(W0)))) # label(mIH) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 38 (all W0 all W1 (aElementOf0(W0,szNzAzT0) & aElementOf0(W1,szNzAzT0) -> (sdtlseqdt0(W0,W1) <-> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1))))) # label(mSegLess) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 39 (all W0 (aFunction0(W0) -> aSet0(szDzozmdt0(W0)))) # label(mDomSet) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 40 (all W0 (aSet0(W0) -> (sz00 = sbrdtbr0(W0) <-> slcrc0 = W0))) # label(mCardEmpty) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 41 (all W0 (isFinite0(W0) & aSet0(W0) -> (all W1 (aSubsetOf0(W1,W0) -> isFinite0(W1))))) # label(mSubFSet) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 42 (all W0 (aElementOf0(W0,szNzAzT0) -> -sdtlseqdt0(szszuzczcdt0(W0),sz00))) # label(mNoScLessZr) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 43 (all W0 (aSet0(W0) -> (all W1 (aElementOf0(W1,W0) -> aElement0(W1))))) # label(mEOfElem) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 44 (all W0 (aSet0(W0) & isCountable0(W0) -> (all W1 (aElementOf0(W1,szNzAzT0) & W1 != sz00 -> isCountable0(slbdtsldtrb0(W0,W1)))))) # label(mSelCSet) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 45 (all W0 (aSet0(W0) -> (all W1 (isFinite0(W0) & aSubsetOf0(W1,W0) -> sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)))))) # label(mCardSub) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 46 (all W0 ((sbrdtbr0(W0) = xK & (aSet0(W0) & (all W1 (aElementOf0(W1,W0) -> aElementOf0(W1,xS))) | aSubsetOf0(W0,xS)) -> aElementOf0(W0,szDzozmdt0(xc))) & (aElementOf0(W0,szDzozmdt0(xc)) -> sbrdtbr0(W0) = xK & aSubsetOf0(W0,xS) & (all W1 (aElementOf0(W1,W0) -> aElementOf0(W1,xS))) & aSet0(W0)))) # label(m__3453_AndLHS) # label(hypothesis) # label(non_clause). [assumption]. 2.36/3.36 47 (all W0 (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc))) <-> (exists W1 (aElementOf0(W1,szDzozmdt0(xc)) & W0 = sdtlpdtrp0(xc,W1))))) # label(m__3453_AndRHS_AndRHS_AndLHS) # label(hypothesis) # label(non_clause). [assumption]. 2.36/3.36 48 (all W0 (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc))) -> aElementOf0(W0,xT))) # label(m__3453_AndRHS_AndRHS_AndRHS_AndLHS) # label(hypothesis) # label(non_clause). [assumption]. 2.36/3.36 49 (all W0 (aElementOf0(W0,szNzAzT0) -> (all W1 (isCountable0(W1) & (aSet0(W1) & (all W2 (aElementOf0(W2,W1) -> aElementOf0(W2,szNzAzT0))) | aSubsetOf0(W1,szNzAzT0)) -> (all W2 (aFunction0(W2) & (aSet0(sdtlcdtrc0(W2,szDzozmdt0(W2))) & (all W3 (aElementOf0(W3,sdtlcdtrc0(W2,szDzozmdt0(W2))) <-> (exists W4 (sdtlpdtrp0(W2,W4) = W3 & aElementOf0(W4,szDzozmdt0(W2)))))) -> aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) | (all W3 (aElementOf0(W3,sdtlcdtrc0(W2,szDzozmdt0(W2))) -> aElementOf0(W3,xT)))) & ((all W3 ((aSet0(W3) & (all W4 (aElementOf0(W4,W3) -> aElementOf0(W4,W1))) & aSubsetOf0(W3,W1) & W0 = sbrdtbr0(W3) -> aElementOf0(W3,szDzozmdt0(W2))) & (aElementOf0(W3,szDzozmdt0(W2)) -> (aSet0(W3) & (all W4 (aElementOf0(W4,W3) -> aElementOf0(W4,W1))) | aSubsetOf0(W3,W1)) & W0 = sbrdtbr0(W3)))) | slbdtsldtrb0(W1,W0) = szDzozmdt0(W2)) -> (iLess0(W0,xK) -> (exists W3 ((exists W4 (aSet0(W4) & aSubsetOf0(W4,W1) & isCountable0(W4) & (all W5 (((all W6 (aElementOf0(W6,W5) -> aElementOf0(W6,W4))) & aSet0(W5) | aSubsetOf0(W5,W4)) & sbrdtbr0(W5) = W0 | aElementOf0(W5,slbdtsldtrb0(W4,W0)) -> W3 = sdtlpdtrp0(W2,W5))) & (all W5 (aElementOf0(W5,W4) -> aElementOf0(W5,W1))))) & aElementOf0(W3,xT)))))))))) # label(m__3398) # label(hypothesis) # label(non_clause). [assumption]. 2.36/3.36 50 (all W0 (aFunction0(W0) -> (all W1 (aElementOf0(W1,szDzozmdt0(W0)) -> aElement0(sdtlpdtrp0(W0,W1)))))) # label(mImgElm) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 51 (all W0 (aElement0(W0) -> (all W1 (isFinite0(W1) & aSet0(W1) -> isFinite0(sdtmndt0(W1,W0)))))) # label(mFDiffSet) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 52 (all W0 (aSet0(W0) & isCountable0(W0) -> -isFinite0(W0))) # label(mCountNFin) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 53 (all W0 (aSet0(W0) -> (isFinite0(W0) -> $T))) # label(mFinRel) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 54 (all W0 (aSet0(W0) -> (all W1 (aElementOf0(W1,W0) & isFinite0(W0) -> szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0))))) # label(mCardDiff) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 55 (all W0 (aElement0(W0) -> $T)) # label(mElmSort) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 56 (all W0 all W1 (aSet0(W1) & aElement0(W0) -> (-aElementOf0(W0,W1) -> W1 = sdtmndt0(sdtpldt0(W1,W0),W0)))) # label(mDiffCons) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 57 (all W0 all W1 (aElementOf0(W1,szNzAzT0) & aElementOf0(W0,szNzAzT0) -> sdtlseqdt0(szszuzczcdt0(W1),W0) | sdtlseqdt0(W0,W1))) # label(mLessTotal) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 58 (all W0 (aElementOf0(W0,szNzAzT0) -> sz00 = W0 | (exists W1 (szszuzczcdt0(W1) = W0 & aElementOf0(W1,szNzAzT0))))) # label(mNatExtra) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 59 (all W0 (aSet0(W0) -> (isCountable0(W0) -> $T))) # label(mCntRel) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 60 (all W0 all W1 all W2 (aSet0(W2) & aSet0(W1) & aSet0(W0) -> (aSubsetOf0(W1,W2) & aSubsetOf0(W0,W1) -> aSubsetOf0(W0,W2)))) # label(mSubTrans) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 61 (all W0 (aElementOf0(W0,szNzAzT0) -> (all W1 all W2 (aSet0(W2) & sz00 != W0 & aSet0(W1) -> (aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0)) & slcrc0 != slbdtsldtrb0(W1,W0) -> aSubsetOf0(W1,W2)))))) # label(mSelSub) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 62 (all W0 all W1 (aFunction0(W0) & aElement0(W1) -> aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)))) # label(mPttSet) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 63 (all W0 (aElementOf0(W0,szNzAzT0) -> sdtlseqdt0(sz00,W0))) # label(mZeroLess) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 64 (all W0 (aElementOf0(W0,szNzAzT0) -> sdtlseqdt0(W0,W0))) # label(mLessRefl) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 65 (all W0 (isFinite0(W0) & aSet0(W0) -> (all W1 (aElement0(W1) -> (-aElementOf0(W1,W0) -> sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0))))))) # label(mCardCons) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 66 (all W0 (aSet0(W0) -> aElement0(sbrdtbr0(W0)))) # label(mCardS) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 67 (all W0 (aElement0(W0) -> (all W1 (isCountable0(W1) & aSet0(W1) -> isCountable0(sdtpldt0(W1,W0)))))) # label(mCConsSet) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 68 (all W0 (aFunction0(W0) -> $T)) # label(mFunSort) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 69 (all W0 (aFunction0(W0) -> (isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) & isCountable0(szDzozmdt0(W0)) -> aElement0(szDzizrdt0(W0)) & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0)))))) # label(mDirichlet) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 70 (all W0 all W1 (aElementOf0(W1,szNzAzT0) & aElementOf0(W0,szNzAzT0) -> (aElementOf0(W0,slbdtrb0(W1)) | W1 = W0 <-> aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))))) # label(mSegSucc) # label(axiom) # label(non_clause). [assumption]. 2.36/3.36 71 (all W0 all W1 (aElementOf0(W1,szNzAzT0) & aSetCputime limit exceeded (core dumped) 180.06/181.06 EOF