0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : lash -P picomus -M modes -p tstp -t %d %s 0.11/0.32 % Computer : n024.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 05:26:07 EDT 2022 0.11/0.32 % CPUTime : 1.41/1.64 % SZS status Theorem 1.41/1.64 % Mode: cade22grackle2x6978 1.41/1.64 % Steps: 0 1.41/1.64 % SZS output start Proof 1.41/1.64 thf(ty_list_VEBT_VEBT, type, list_VEBT_VEBT : $tType). 1.41/1.64 thf(ty_vEBT_VEBT, type, vEBT_VEBT : $tType). 1.41/1.64 thf(ty_num, type, num : $tType). 1.41/1.64 thf(ty_real, type, real : $tType). 1.41/1.64 thf(ty_nat, type, nat : $tType). 1.41/1.64 thf(ty_set_VEBT_VEBT, type, set_VEBT_VEBT : $tType). 1.41/1.64 thf(ty_cos_real, type, cos_real : (real>real)). 1.41/1.64 thf(ty_ord_less_nat, type, ord_less_nat : (nat>nat>$o)). 1.41/1.64 thf(ty_eigen__3, type, eigen__3 : real). 1.41/1.64 thf(ty_mi, type, mi : nat). 1.41/1.64 thf(ty_power_power_nat, type, power_power_nat : (nat>nat>nat)). 1.41/1.64 thf(ty_eigen__2, type, eigen__2 : real). 1.41/1.64 thf(ty_member_VEBT_VEBT, type, member_VEBT_VEBT : (vEBT_VEBT>set_VEBT_VEBT>$o)). 1.41/1.64 thf(ty_ord_less_eq_nat, type, ord_less_eq_nat : (nat>nat>$o)). 1.41/1.64 thf(ty_numeral_numeral_real, type, numeral_numeral_real : (num>real)). 1.41/1.64 thf(ty_ord_less_eq_real, type, ord_less_eq_real : (real>real>$o)). 1.41/1.64 thf(ty_eigen__1, type, eigen__1 : real). 1.41/1.64 thf(ty_bit0, type, bit0 : (num>num)). 1.41/1.64 thf(ty_nth_VEBT_VEBT, type, nth_VEBT_VEBT : (list_VEBT_VEBT>nat>vEBT_VEBT)). 1.41/1.64 thf(ty_vEBT_VEBT_low, type, vEBT_VEBT_low : (nat>nat>nat)). 1.41/1.64 thf(ty_treeList, type, treeList : list_VEBT_VEBT). 1.41/1.64 thf(ty_set_VEBT_VEBT2, type, set_VEBT_VEBT2 : (list_VEBT_VEBT>set_VEBT_VEBT)). 1.41/1.64 thf(ty_one, type, one : num). 1.41/1.64 thf(ty_m, type, m : nat). 1.41/1.64 thf(ty_xa, type, xa : nat). 1.41/1.64 thf(ty_zero_zero_real, type, zero_zero_real : real). 1.41/1.64 thf(ty_vEBT_V8194947554948674370ptions, type, vEBT_V8194947554948674370ptions : (vEBT_VEBT>nat>$o)). 1.41/1.64 thf(ty_na, type, na : nat). 1.41/1.64 thf(ty_vEBT_VEBT_high, type, vEBT_VEBT_high : (nat>nat>nat)). 1.41/1.64 thf(ty_eigen__0, type, eigen__0 : real). 1.41/1.64 thf(ty_numeral_numeral_nat, type, numeral_numeral_nat : (num>nat)). 1.41/1.64 thf(ty_ma, type, ma : nat). 1.41/1.64 thf(sP1,plain,sP1 <=> (xa = ma),introduced(definition,[new_symbols(definition,[sP1])])). 1.41/1.64 thf(sP2,plain,sP2 <=> (xa = mi),introduced(definition,[new_symbols(definition,[sP2])])). 1.41/1.64 thf(conj_0,conjecture,(~(((~(sP2)) => sP1)))). 1.41/1.64 thf(h0,negated_conjecture,((~(sP2)) => sP1),inference(assume_negation,[status(cth)],[conj_0])). 1.41/1.64 thf(h1,assumption,(~((mi = ma))),introduced(assumption,[])). 1.41/1.64 thf(h2,assumption,(![X1:vEBT_VEBT]:(((member_VEBT_VEBT @ X1) @ (set_VEBT_VEBT2 @ treeList)) => (![X2:nat]:(~(((vEBT_V8194947554948674370ptions @ X1) @ X2)))))),introduced(assumption,[])). 1.41/1.64 thf(h3,assumption,(~(sP2)),introduced(assumption,[])). 1.41/1.64 thf(h4,assumption,(~(sP1)),introduced(assumption,[])). 1.41/1.64 thf(h5,assumption,(mi = ma),introduced(assumption,[])). 1.41/1.64 thf(h6,assumption,(![X1:nat]:(((ord_less_nat @ X1) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ m)) => (~((((((vEBT_VEBT_high @ ma) @ na) = X1) => ((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ X1)) @ ((vEBT_VEBT_low @ ma) @ na))) => (~((![X2:nat]:((~((((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ X1)) @ ((vEBT_VEBT_low @ X2) @ na)) => (~((((vEBT_VEBT_high @ X2) @ na) = X1)))))) => (~((((ord_less_nat @ mi) @ X2) => (~(((ord_less_eq_nat @ X2) @ ma))))))))))))))),introduced(assumption,[])). 1.41/1.64 thf(h7,assumption,(~(((~(((~((((ord_less_eq_real @ eigen__3) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__3) = zero_zero_real)))))) => (~((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__3)))))))) => (~(((ord_less_eq_real @ zero_zero_real) @ eigen__3)))))),introduced(assumption,[])). 1.41/1.64 thf(h8,assumption,(~(((~((((ord_less_eq_real @ eigen__3) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__3) = zero_zero_real)))))) => (~((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__3)))))))),introduced(assumption,[])). 1.41/1.64 thf(h9,assumption,((ord_less_eq_real @ zero_zero_real) @ eigen__3),introduced(assumption,[])). 1.41/1.64 thf(h10,assumption,(~((((ord_less_eq_real @ eigen__3) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__3) = zero_zero_real)))))),introduced(assumption,[])). 1.41/1.64 thf(h11,assumption,(![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__3))),introduced(assumption,[])). 1.41/1.64 thf(h12,assumption,((ord_less_eq_real @ eigen__3) @ (numeral_numeral_real @ (bit0 @ one))),introduced(assumption,[])). 1.41/1.64 thf(h13,assumption,((cos_real @ eigen__3) = zero_zero_real),introduced(assumption,[])). 1.41/1.64 thf(h14,assumption,sP2,introduced(assumption,[])). 1.41/1.64 thf(h15,assumption,sP1,introduced(assumption,[])). 1.41/1.64 thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h14,h12,h13,h10,h11,h8,h9,h7,h5,h3,h4,h1,h0])],[h14,h3])). 1.41/1.64 thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h15,h12,h13,h10,h11,h8,h9,h7,h5,h3,h4,h1,h0])],[h15,h4])). 1.41/1.64 thf(3,plain,$false,inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h11,h8,h9,h7,h5,h3,h4,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h0,1,2,h14,h15])). 1.41/1.64 thf(4,plain,$false,inference(tab_negimp,[status(thm),assumptions([h10,h11,h8,h9,h7,h5,h3,h4,h1,h0]),tab_negimp(discharge,[h12,h13])],[h10,3,h12,h13])). 1.41/1.64 thf(5,plain,$false,inference(tab_negimp,[status(thm),assumptions([h8,h9,h7,h5,h3,h4,h1,h0]),tab_negimp(discharge,[h10,h11])],[h8,4,h10,h11])). 1.41/1.64 thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h3,h4,h1,h0]),tab_negimp(discharge,[h8,h9])],[h7,5,h8,h9])). 1.41/1.64 thf(fact_8323_cos__is__zero,axiom,(~((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~((![X2:real]:((~(((~((((ord_less_eq_real @ X2) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X2) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X2)))))) => (X2 = X1)))))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))))). 1.41/1.64 thf(7,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h3,h4,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__3)],[fact_8323_cos__is__zero,6,h7])). 1.41/1.64 thf(h16,assumption,(~(((~(((~((((ord_less_eq_real @ eigen__2) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__2) = zero_zero_real)))))) => (~((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__2)))))))) => (~(((ord_less_eq_real @ zero_zero_real) @ eigen__2)))))),introduced(assumption,[])). 1.41/1.64 thf(h17,assumption,(~(((~((((ord_less_eq_real @ eigen__2) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__2) = zero_zero_real)))))) => (~((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__2)))))))),introduced(assumption,[])). 1.41/1.64 thf(h18,assumption,((ord_less_eq_real @ zero_zero_real) @ eigen__2),introduced(assumption,[])). 1.41/1.64 thf(h19,assumption,(~((((ord_less_eq_real @ eigen__2) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__2) = zero_zero_real)))))),introduced(assumption,[])). 1.41/1.64 thf(h20,assumption,(![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__2))),introduced(assumption,[])). 1.41/1.64 thf(h21,assumption,((ord_less_eq_real @ eigen__2) @ (numeral_numeral_real @ (bit0 @ one))),introduced(assumption,[])). 1.41/1.64 thf(h22,assumption,((cos_real @ eigen__2) = zero_zero_real),introduced(assumption,[])). 1.41/1.64 thf(8,plain,$false,inference(tab_conflict,[status(thm),assumptions([h14,h21,h22,h19,h20,h17,h18,h16,h6,h3,h4,h1,h0])],[h14,h3])). 1.41/1.64 thf(9,plain,$false,inference(tab_conflict,[status(thm),assumptions([h15,h21,h22,h19,h20,h17,h18,h16,h6,h3,h4,h1,h0])],[h15,h4])). 1.41/1.64 thf(10,plain,$false,inference(tab_imp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h16,h6,h3,h4,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h0,8,9,h14,h15])). 1.41/1.64 thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h16,h6,h3,h4,h1,h0]),tab_negimp(discharge,[h21,h22])],[h19,10,h21,h22])). 1.41/1.64 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h17,h18,h16,h6,h3,h4,h1,h0]),tab_negimp(discharge,[h19,h20])],[h17,11,h19,h20])). 1.41/1.64 thf(13,plain,$false,inference(tab_negimp,[status(thm),assumptions([h16,h6,h3,h4,h1,h0]),tab_negimp(discharge,[h17,h18])],[h16,12,h17,h18])). 1.41/1.64 thf(14,plain,$false,inference(tab_negall,[status(thm),assumptions([h6,h3,h4,h1,h0]),tab_negall(discharge,[h16]),tab_negall(eigenvar,eigen__2)],[fact_8323_cos__is__zero,13,h16])). 1.41/1.64 thf(fact_89__C5_Ohyps_C_I9_J,axiom,((~((mi = ma))) => (![X1:nat]:(((ord_less_nat @ X1) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ m)) => (~((((((vEBT_VEBT_high @ ma) @ na) = X1) => ((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ X1)) @ ((vEBT_VEBT_low @ ma) @ na))) => (~((![X2:nat]:((~((((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ X1)) @ ((vEBT_VEBT_low @ X2) @ na)) => (~((((vEBT_VEBT_high @ X2) @ na) = X1)))))) => (~((((ord_less_nat @ mi) @ X2) => (~(((ord_less_eq_nat @ X2) @ ma))))))))))))))))). 1.41/1.64 thf(15,plain,$false,inference(tab_imp,[status(thm),assumptions([h3,h4,h1,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_89__C5_Ohyps_C_I9_J,7,14,h5,h6])). 1.41/1.64 thf(fact_0_False,axiom,(~(((~(sP2)) => sP1)))). 1.41/1.64 thf(16,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h3,h4])],[fact_0_False,15,h3,h4])). 1.41/1.64 thf(h23,assumption,(~(((~(((~((((ord_less_eq_real @ eigen__1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__1) = zero_zero_real)))))) => (~((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__1)))))))) => (~(((ord_less_eq_real @ zero_zero_real) @ eigen__1)))))),introduced(assumption,[])). 1.41/1.64 thf(h24,assumption,(~(((~((((ord_less_eq_real @ eigen__1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__1) = zero_zero_real)))))) => (~((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__1)))))))),introduced(assumption,[])). 1.41/1.64 thf(h25,assumption,((ord_less_eq_real @ zero_zero_real) @ eigen__1),introduced(assumption,[])). 1.41/1.64 thf(h26,assumption,(~((((ord_less_eq_real @ eigen__1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__1) = zero_zero_real)))))),introduced(assumption,[])). 1.41/1.64 thf(h27,assumption,(![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__1))),introduced(assumption,[])). 1.41/1.64 thf(h28,assumption,((ord_less_eq_real @ eigen__1) @ (numeral_numeral_real @ (bit0 @ one))),introduced(assumption,[])). 1.41/1.64 thf(h29,assumption,((cos_real @ eigen__1) = zero_zero_real),introduced(assumption,[])). 1.41/1.64 thf(17,plain,$false,inference(tab_conflict,[status(thm),assumptions([h14,h28,h29,h26,h27,h24,h25,h23,h5,h3,h4,h2,h0])],[h14,h3])). 1.41/1.64 thf(18,plain,$false,inference(tab_conflict,[status(thm),assumptions([h15,h28,h29,h26,h27,h24,h25,h23,h5,h3,h4,h2,h0])],[h15,h4])). 1.41/1.64 thf(19,plain,$false,inference(tab_imp,[status(thm),assumptions([h28,h29,h26,h27,h24,h25,h23,h5,h3,h4,h2,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h0,17,18,h14,h15])). 1.41/1.64 thf(20,plain,$false,inference(tab_negimp,[status(thm),assumptions([h26,h27,h24,h25,h23,h5,h3,h4,h2,h0]),tab_negimp(discharge,[h28,h29])],[h26,19,h28,h29])). 1.41/1.64 thf(21,plain,$false,inference(tab_negimp,[status(thm),assumptions([h24,h25,h23,h5,h3,h4,h2,h0]),tab_negimp(discharge,[h26,h27])],[h24,20,h26,h27])). 1.41/1.64 thf(22,plain,$false,inference(tab_negimp,[status(thm),assumptions([h23,h5,h3,h4,h2,h0]),tab_negimp(discharge,[h24,h25])],[h23,21,h24,h25])). 1.41/1.64 thf(23,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h3,h4,h2,h0]),tab_negall(discharge,[h23]),tab_negall(eigenvar,eigen__1)],[fact_8323_cos__is__zero,22,h23])). 1.41/1.64 thf(h30,assumption,(~(((~(((~((((ord_less_eq_real @ eigen__0) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__0) = zero_zero_real)))))) => (~((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__0)))))))) => (~(((ord_less_eq_real @ zero_zero_real) @ eigen__0)))))),introduced(assumption,[])). 1.41/1.64 thf(h31,assumption,(~(((~((((ord_less_eq_real @ eigen__0) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__0) = zero_zero_real)))))) => (~((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__0)))))))),introduced(assumption,[])). 1.41/1.64 thf(h32,assumption,((ord_less_eq_real @ zero_zero_real) @ eigen__0),introduced(assumption,[])). 1.41/1.64 thf(h33,assumption,(~((((ord_less_eq_real @ eigen__0) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ eigen__0) = zero_zero_real)))))),introduced(assumption,[])). 1.41/1.64 thf(h34,assumption,(![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__0))),introduced(assumption,[])). 1.41/1.64 thf(h35,assumption,((ord_less_eq_real @ eigen__0) @ (numeral_numeral_real @ (bit0 @ one))),introduced(assumption,[])). 1.41/1.64 thf(h36,assumption,((cos_real @ eigen__0) = zero_zero_real),introduced(assumption,[])). 1.41/1.64 thf(24,plain,$false,inference(tab_conflict,[status(thm),assumptions([h14,h35,h36,h33,h34,h31,h32,h30,h6,h3,h4,h2,h0])],[h14,h3])). 1.41/1.64 thf(25,plain,$false,inference(tab_conflict,[status(thm),assumptions([h15,h35,h36,h33,h34,h31,h32,h30,h6,h3,h4,h2,h0])],[h15,h4])). 1.41/1.64 thf(26,plain,$false,inference(tab_imp,[status(thm),assumptions([h35,h36,h33,h34,h31,h32,h30,h6,h3,h4,h2,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h0,24,25,h14,h15])). 1.41/1.64 thf(27,plain,$false,inference(tab_negimp,[status(thm),assumptions([h33,h34,h31,h32,h30,h6,h3,h4,h2,h0]),tab_negimp(discharge,[h35,h36])],[h33,26,h35,h36])). 1.41/1.64 thf(28,plain,$false,inference(tab_negimp,[status(thm),assumptions([h31,h32,h30,h6,h3,h4,h2,h0]),tab_negimp(discharge,[h33,h34])],[h31,27,h33,h34])). 1.41/1.64 thf(29,plain,$false,inference(tab_negimp,[status(thm),assumptions([h30,h6,h3,h4,h2,h0]),tab_negimp(discharge,[h31,h32])],[h30,28,h31,h32])). 1.41/1.64 thf(30,plain,$false,inference(tab_negall,[status(thm),assumptions([h6,h3,h4,h2,h0]),tab_negall(discharge,[h30]),tab_negall(eigenvar,eigen__0)],[fact_8323_cos__is__zero,29,h30])). 1.41/1.64 thf(31,plain,$false,inference(tab_imp,[status(thm),assumptions([h3,h4,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_89__C5_Ohyps_C_I9_J,23,30,h5,h6])). 1.41/1.64 thf(32,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h0]),tab_negimp(discharge,[h3,h4])],[fact_0_False,31,h3,h4])). 1.41/1.64 thf(fact_2__C5_Ohyps_C_I6_J,axiom,((mi = ma) => (![X1:vEBT_VEBT]:(((member_VEBT_VEBT @ X1) @ (set_VEBT_VEBT2 @ treeList)) => (![X2:nat]:(~(((vEBT_V8194947554948674370ptions @ X1) @ X2)))))))). 1.41/1.64 thf(33,plain,$false,inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[fact_2__C5_Ohyps_C_I6_J,16,32,h1,h2])). 1.41/1.64 thf(0,theorem,(~(((~(sP2)) => sP1))),inference(contra,[status(thm),contra(discharge,[h0])],[33,h0])). 1.41/1.64 % SZS output end Proof 1.41/1.64 EOF