%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM925+1 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:41:03 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM925+1 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n006.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 12:33:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.semiri984289939at_nat (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.ord_less_nat (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.number_number_of_int (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.power_power_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.n $$unsorted) % 0.37/0.60 (declare-const tptp.semiri1621563631at_int (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.plus_plus_int (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.t $$unsorted) % 0.37/0.60 (declare-const tptp.zero_zero_int $$unsorted) % 0.37/0.60 (declare-const tptp.zero_zero_nat $$unsorted) % 0.37/0.60 (declare-const tptp.pls $$unsorted) % 0.37/0.60 (declare-const tptp.plus_plus_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.ord_less_int (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.bit1 (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.bit0 (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.number_number_of_nat (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.power_power_int (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.one_one_int $$unsorted) % 0.37/0.60 (declare-const tptp.one_one_nat $$unsorted) % 0.37/0.60 (define @t1 () (tptp.plus_plus_int tptp.one_one_int (tptp.semiri1621563631at_int tptp.n))) % 0.37/0.60 (define @t2 () (tptp.ord_less_int tptp.zero_zero_int @t1)) % 0.37/0.60 (define @t3 () (@var "Ya" $$unsorted)) % 0.37/0.60 (define @t4 () (= @t3 tptp.zero_zero_int)) % 0.37/0.60 (define @t5 () (@var "Xa" $$unsorted)) % 0.37/0.60 (define @t6 () (= @t5 tptp.zero_zero_int)) % 0.37/0.60 (define @t7 () (tptp.bit1 tptp.pls)) % 0.37/0.60 (define @t8 () (tptp.bit0 @t7)) % 0.37/0.60 (define @t9 () (tptp.number_number_of_nat @t8)) % 0.37/0.60 (define @t10 () (tptp.plus_plus_int (tptp.power_power_int @t5 @t9) (tptp.power_power_int @t3 @t9))) % 0.37/0.60 (define @t11 () (@list @t5 @t3)) % 0.37/0.60 (define @t12 () (@var "A_1" $$unsorted)) % 0.37/0.60 (define @t13 () (= @t12 tptp.zero_zero_int)) % 0.37/0.60 (define @t14 () (tptp.power_power_int @t12 @t9)) % 0.37/0.60 (define @t15 () (= (= @t14 tptp.zero_zero_int) @t13)) % 0.37/0.60 (define @t16 () (@list @t12)) % 0.37/0.60 (define @t17 () (forall @t16 @t15)) % 0.37/0.60 (define @t18 () (@var "W_5" $$unsorted)) % 0.37/0.60 (define @t19 () (@var "V_5" $$unsorted)) % 0.37/0.60 (define @t20 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t21 () (@var "W_4" $$unsorted)) % 0.37/0.60 (define @t22 () (tptp.number_number_of_nat @t21)) % 0.37/0.60 (define @t23 () (tptp.power_power_int tptp.zero_zero_int @t22)) % 0.37/0.60 (define @t24 () (= @t22 tptp.zero_zero_nat)) % 0.37/0.60 (define @t25 () (not @t24)) % 0.37/0.60 (define @t26 () (@list @t21)) % 0.37/0.60 (define @t27 () (tptp.power_power_nat tptp.zero_zero_nat @t22)) % 0.37/0.60 (define @t28 () (tptp.number_number_of_int @t7)) % 0.37/0.60 (define @t29 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t30 () (@var "L_1" $$unsorted)) % 0.37/0.60 (define @t31 () (@var "K_1" $$unsorted)) % 0.37/0.60 (define @t32 () (tptp.ord_less_int @t31 @t30)) % 0.37/0.60 (define @t33 () (@list @t31 @t30)) % 0.37/0.60 (define @t34 () (@var "W_3" $$unsorted)) % 0.37/0.60 (define @t35 () (@var "V_3" $$unsorted)) % 0.37/0.60 (define @t36 () (tptp.number_number_of_int @t3)) % 0.37/0.60 (define @t37 () (tptp.number_number_of_int @t5)) % 0.37/0.60 (define @t38 () (tptp.number_number_of_int tptp.pls)) % 0.37/0.60 (define @t39 () (@var "N_1" $$unsorted)) % 0.37/0.60 (define @t40 () (@var "M" $$unsorted)) % 0.37/0.60 (define @t41 () (tptp.semiri1621563631at_int (tptp.power_power_nat @t40 @t39))) % 0.37/0.60 (define @t42 () (tptp.semiri1621563631at_int @t40)) % 0.37/0.60 (define @t43 () (tptp.power_power_int @t42 @t39)) % 0.37/0.60 (define @t44 () (@list @t40 @t39)) % 0.37/0.60 (define @t45 () (@var "Z" $$unsorted)) % 0.37/0.60 (define @t46 () (tptp.semiri1621563631at_int (tptp.plus_plus_nat @t40 @t39))) % 0.37/0.60 (define @t47 () (tptp.semiri1621563631at_int @t39)) % 0.37/0.60 (define @t48 () (tptp.number_number_of_nat tptp.pls)) % 0.37/0.60 (define @t49 () (@var "Na" $$unsorted)) % 0.37/0.60 (define @t50 () (tptp.semiri1621563631at_int @t49)) % 0.37/0.60 (define @t51 () (@var "K2" $$unsorted)) % 0.37/0.60 (define @t52 () (@var "K1" $$unsorted)) % 0.37/0.60 (define @t53 () (tptp.ord_less_int @t52 @t51)) % 0.37/0.60 (define @t54 () (tptp.bit1 @t52)) % 0.37/0.60 (define @t55 () (@list @t52 @t51)) % 0.37/0.60 (define @t56 () (tptp.bit1 @t30)) % 0.37/0.60 (define @t57 () (tptp.bit1 @t31)) % 0.37/0.60 (define @t58 () (tptp.bit0 @t51)) % 0.37/0.60 (define @t59 () (tptp.bit0 @t30)) % 0.37/0.60 (define @t60 () (tptp.bit0 @t31)) % 0.37/0.60 (define @t61 () (@var "K" $$unsorted)) % 0.37/0.60 (define @t62 () (@var "J" $$unsorted)) % 0.37/0.60 (define @t63 () (@var "I" $$unsorted)) % 0.37/0.60 (define @t64 () (@var "V_4" $$unsorted)) % 0.37/0.60 (define @t65 () (tptp.number_number_of_nat @t64)) % 0.37/0.60 (define @t66 () (tptp.number_number_of_nat @t35)) % 0.37/0.60 (define @t67 () (tptp.plus_plus_nat @t66 @t65)) % 0.37/0.60 (define @t68 () (tptp.ord_less_int @t64 tptp.pls)) % 0.37/0.60 (define @t69 () (tptp.ord_less_int @t35 tptp.pls)) % 0.37/0.60 (define @t70 () (tptp.number_number_of_nat @t7)) % 0.37/0.60 (define @t71 () (@var "Wa" $$unsorted)) % 0.37/0.60 (define @t72 () (tptp.number_number_of_nat @t71)) % 0.37/0.60 (define @t73 () (@list @t71 @t5)) % 0.37/0.60 (define @t74 () (tptp.number_number_of_int @t71)) % 0.37/0.60 (define @t75 () (= @t31 @t30)) % 0.37/0.60 (define @t76 () (tptp.plus_plus_int @t12 @t12)) % 0.37/0.60 (define @t77 () (@var "Z3" $$unsorted)) % 0.37/0.60 (define @t78 () (@var "Z2" $$unsorted)) % 0.37/0.60 (define @t79 () (@var "Z1" $$unsorted)) % 0.37/0.60 (define @t80 () (@var "Ma" $$unsorted)) % 0.37/0.60 (define @t81 () (@list @t5)) % 0.37/0.60 (define @t82 () (@list @t3)) % 0.37/0.60 (define @t83 () (tptp.ord_less_int @t31 tptp.pls)) % 0.37/0.60 (define @t84 () (@list @t31)) % 0.37/0.60 (define @t85 () (tptp.ord_less_int @t71 tptp.zero_zero_int)) % 0.37/0.60 (define @t86 () (@list @t71)) % 0.37/0.60 (define @t87 () (@var "Z_2" $$unsorted)) % 0.37/0.60 (define @t88 () (@list @t61)) % 0.37/0.60 (define @t89 () (tptp.bit1 @t61)) % 0.37/0.60 (define @t90 () (@var "L" $$unsorted)) % 0.37/0.60 (define @t91 () (tptp.bit1 @t90)) % 0.37/0.60 (define @t92 () (tptp.bit0 @t90)) % 0.37/0.60 (define @t93 () (@list @t61 @t90)) % 0.37/0.60 (define @t94 () (tptp.bit0 @t61)) % 0.37/0.60 (define @t95 () (tptp.plus_plus_int @t61 @t90)) % 0.37/0.60 (define @t96 () (@list @t45)) % 0.37/0.60 (define @t97 () (@var "A_3" $$unsorted)) % 0.37/0.60 (define @t98 () (@var "A_2" $$unsorted)) % 0.37/0.60 (define @t99 () (not (= @t72 tptp.zero_zero_nat))) % 0.37/0.60 (define @t100 () (@list @t12 @t71)) % 0.37/0.60 (define @t101 () (@var "Z_1" $$unsorted)) % 0.37/0.60 (define @t102 () (@var "W_2" $$unsorted)) % 0.37/0.60 (define @t103 () (@var "V_2" $$unsorted)) % 0.37/0.60 (define @t104 () (@var "W_1" $$unsorted)) % 0.37/0.60 (define @t105 () (@var "V_1" $$unsorted)) % 0.37/0.60 (define @t106 () (@var "W" $$unsorted)) % 0.37/0.60 (define @t107 () (@var "V" $$unsorted)) % 0.37/0.60 (define @t108 () (tptp.bit1 @t95)) % 0.37/0.60 (define @t109 () (@var "N" $$unsorted)) % 0.37/0.60 (define @t110 () (tptp.semiri1621563631at_int @t109)) % 0.37/0.60 (define @t111 () (@list @t109)) % 0.37/0.60 (define @t112 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t113 () (tptp.power_power_int @t1 @t9)) % 0.37/0.60 (define @t114 () (= @t113 tptp.zero_zero_int)) % 0.37/0.60 (define @t115 () (= tptp.zero_zero_int @t1)) % 0.37/0.60 (define @t116 () (= tptp.zero_zero_int @t113)) % 0.37/0.60 (define @t117 () (= @t116 @t115)) % 0.37/0.60 (assume @p1 @t2) % 0.37/0.60 (assume @p2 (tptp.ord_less_int tptp.one_one_int tptp.t)) % 0.37/0.60 (assume @p3 (forall @t11 (= (= @t10 tptp.zero_zero_int) (and @t6 @t4)))) % 0.37/0.60 (assume @p4 (= (tptp.power_power_int tptp.one_one_int @t9) tptp.one_one_int)) % 0.37/0.60 (assume @p5 (= (tptp.power_power_nat tptp.one_one_nat @t9) tptp.one_one_nat)) % 0.37/0.60 (assume @p6 (= (tptp.power_power_int tptp.zero_zero_int @t9) tptp.zero_zero_int)) % 0.37/0.60 (assume @p7 (= (tptp.power_power_nat tptp.zero_zero_nat @t9) tptp.zero_zero_nat)) % 0.37/0.60 (assume @p8 @t17) % 0.37/0.60 (assume @p9 (forall (@list @t18) (= (tptp.plus_plus_int tptp.one_one_int (tptp.number_number_of_int @t18)) (tptp.number_number_of_int (tptp.plus_plus_int @t7 @t18))))) % 0.37/0.60 (assume @p10 (forall (@list @t19) (= (tptp.plus_plus_int (tptp.number_number_of_int @t19) tptp.one_one_int) (tptp.number_number_of_int (tptp.plus_plus_int @t19 @t7))))) % 0.37/0.60 (assume @p11 (= (tptp.plus_plus_int tptp.one_one_int tptp.one_one_int) (tptp.number_number_of_int @t8))) % 0.37/0.60 (assume @p12 (= (tptp.plus_plus_nat tptp.one_one_nat tptp.one_one_nat) @t9)) % 0.37/0.60 (assume @p13 (forall (@list @t20) (= (tptp.power_power_int (tptp.power_power_int @t20 @t9) @t9) (tptp.power_power_int @t20 (tptp.number_number_of_nat (tptp.bit0 @t8)))))) % 0.37/0.60 (assume @p14 (forall @t26 (and (=> @t24 (= @t23 tptp.one_one_int)) (=> @t25 (= @t23 tptp.zero_zero_int))))) % 0.37/0.60 (assume @p15 (forall @t26 (and (=> @t24 (= @t27 tptp.one_one_nat)) (=> @t25 (= @t27 tptp.zero_zero_nat))))) % 0.37/0.60 (assume @p16 (= tptp.one_one_int @t28)) % 0.37/0.60 (assume @p17 (= @t28 tptp.one_one_int)) % 0.37/0.60 (assume @p18 (tptp.ord_less_nat tptp.zero_zero_nat tptp.n)) % 0.37/0.60 (assume @p19 (forall (@list @t20 @t29) (or (tptp.ord_less_int @t20 @t29) (= @t20 @t29) (tptp.ord_less_int @t29 @t20)))) % 0.37/0.60 (assume @p20 (forall @t33 (= (tptp.ord_less_int (tptp.number_number_of_int @t31) (tptp.number_number_of_int @t30)) @t32))) % 0.37/0.60 (assume @p21 (forall (@list @t35 @t34) (= (tptp.plus_plus_int (tptp.number_number_of_int @t35) (tptp.number_number_of_int @t34)) (tptp.number_number_of_int (tptp.plus_plus_int @t35 @t34))))) % 0.37/0.60 (assume @p22 (forall @t11 (= (tptp.ord_less_int @t37 @t36) (tptp.ord_less_int @t5 @t3)))) % 0.37/0.60 (assume @p23 (= tptp.zero_zero_int @t38)) % 0.37/0.60 (assume @p24 (forall @t44 (= @t43 @t41))) % 0.37/0.60 (assume @p25 (forall @t44 (= @t41 @t43))) % 0.37/0.60 (assume @p26 (forall (@list @t40 @t39 @t45) (= (tptp.plus_plus_int @t42 (tptp.plus_plus_int @t47 @t45)) (tptp.plus_plus_int @t46 @t45)))) % 0.37/0.60 (assume @p27 (forall @t44 (= (tptp.plus_plus_int @t42 @t47) @t46))) % 0.37/0.60 (assume @p28 (= (tptp.semiri1621563631at_int tptp.one_one_nat) tptp.one_one_int)) % 0.37/0.60 (assume @p29 (= @t48 tptp.zero_zero_nat)) % 0.37/0.60 (assume @p30 (= tptp.zero_zero_nat @t48)) % 0.37/0.60 (assume @p31 (forall (@list @t49) (= (= @t50 tptp.zero_zero_int) (= @t49 tptp.zero_zero_nat)))) % 0.37/0.60 (assume @p32 (= (tptp.semiri1621563631at_int tptp.zero_zero_nat) tptp.zero_zero_int)) % 0.37/0.60 (assume @p33 (forall @t55 (= (tptp.ord_less_int @t54 (tptp.bit1 @t51)) @t53))) % 0.37/0.60 (assume @p34 (forall @t33 (= (tptp.ord_less_int @t57 @t56) @t32))) % 0.37/0.60 (assume @p35 (not (tptp.ord_less_int tptp.pls tptp.pls))) % 0.37/0.60 (assume @p36 (forall @t55 (= (tptp.ord_less_int (tptp.bit0 @t52) @t58) @t53))) % 0.37/0.60 (assume @p37 (forall @t33 (= (tptp.ord_less_int @t60 @t59) @t32))) % 0.37/0.60 (assume @p38 (forall (@list @t61 @t63 @t62) (=> (tptp.ord_less_int @t63 @t62) (tptp.ord_less_int (tptp.plus_plus_int @t63 @t61) (tptp.plus_plus_int @t62 @t61))))) % 0.37/0.60 (assume @p39 (forall (@list @t64 @t35) (and (=> @t69 (= @t67 @t65)) (=> (not @t69) (and (=> @t68 (= @t67 @t66)) (=> (not @t68) (= @t67 (tptp.number_number_of_nat (tptp.plus_plus_int @t35 @t64))))))))) % 0.37/0.60 (assume @p40 (= @t70 tptp.one_one_nat)) % 0.37/0.60 (assume @p41 (= tptp.one_one_nat @t70)) % 0.37/0.60 (assume @p42 (forall @t11 (= (= @t37 @t36) (= @t5 @t3)))) % 0.37/0.60 (assume @p43 (forall @t73 (= (= @t72 @t5) (= @t5 @t72)))) % 0.37/0.60 (assume @p44 (forall @t73 (= (= @t74 @t5) (= @t5 @t74)))) % 0.37/0.60 (assume @p45 (forall @t33 (= (= @t57 @t56) @t75))) % 0.37/0.60 (assume @p46 (forall @t33 (= (= @t60 @t59) @t75))) % 0.37/0.60 (assume @p47 (forall @t16 (= (tptp.ord_less_int @t76 tptp.zero_zero_int) (tptp.ord_less_int @t12 tptp.zero_zero_int)))) % 0.37/0.60 (assume @p48 (forall (@list @t79 @t78 @t77) (= (tptp.plus_plus_int (tptp.plus_plus_int @t79 @t78) @t77) (tptp.plus_plus_int @t79 (tptp.plus_plus_int @t78 @t77))))) % 0.37/0.60 (assume @p49 (forall (@list @t20 @t29 @t45) (= (tptp.plus_plus_int @t20 (tptp.plus_plus_int @t29 @t45)) (tptp.plus_plus_int @t29 (tptp.plus_plus_int @t20 @t45))))) % 0.37/0.60 (assume @p50 (forall (@list @t45 @t34) (= (tptp.plus_plus_int @t45 @t34) (tptp.plus_plus_int @t34 @t45)))) % 0.37/0.60 (assume @p51 (forall (@list @t80 @t49) (= (= (tptp.semiri1621563631at_int @t80) @t50) (= @t80 @t49)))) % 0.37/0.60 (assume @p52 (forall @t81 (= (tptp.ord_less_int @t37 tptp.zero_zero_int) (tptp.ord_less_int @t5 tptp.pls)))) % 0.37/0.60 (assume @p53 (forall @t82 (= (tptp.ord_less_int tptp.zero_zero_int @t36) (tptp.ord_less_int tptp.pls @t3)))) % 0.37/0.60 (assume @p54 (forall @t84 (= (tptp.ord_less_int @t57 tptp.pls) @t83))) % 0.37/0.60 (assume @p55 (forall @t55 (= (tptp.ord_less_int @t54 @t58) @t53))) % 0.37/0.60 (assume @p56 (forall @t33 (= (tptp.ord_less_int @t57 @t59) @t32))) % 0.37/0.60 (assume @p57 (forall @t84 (= (tptp.ord_less_int @t60 tptp.pls) @t83))) % 0.37/0.60 (assume @p58 (forall @t84 (= (tptp.ord_less_int tptp.pls @t60) (tptp.ord_less_int tptp.pls @t31)))) % 0.37/0.60 (assume @p59 (forall @t86 (= (tptp.ord_less_int (tptp.bit1 @t71) tptp.zero_zero_int) @t85))) % 0.37/0.60 (assume @p60 (not (tptp.ord_less_int tptp.pls tptp.zero_zero_int))) % 0.37/0.60 (assume @p61 (forall @t86 (= (tptp.ord_less_int (tptp.bit0 @t71) tptp.zero_zero_int) @t85))) % 0.37/0.60 (assume @p62 (tptp.ord_less_int tptp.zero_zero_int tptp.one_one_int)) % 0.37/0.60 (assume @p63 (forall (@list @t71 @t87) (= (tptp.ord_less_int @t71 (tptp.plus_plus_int @t87 tptp.one_one_int)) (or (tptp.ord_less_int @t71 @t87) (= @t71 @t87))))) % 0.37/0.60 (assume @p64 (forall @t88 (not (tptp.ord_less_int (tptp.semiri1621563631at_int @t61) tptp.zero_zero_int)))) % 0.37/0.60 (assume @p65 (forall @t81 (= (tptp.ord_less_int @t37 tptp.one_one_int) (tptp.ord_less_int @t5 @t7)))) % 0.37/0.60 (assume @p66 (forall @t82 (= (tptp.ord_less_int tptp.one_one_int @t36) (tptp.ord_less_int @t7 @t3)))) % 0.37/0.60 (assume @p67 (forall (@list @t87) (= (tptp.ord_less_int (tptp.plus_plus_int (tptp.plus_plus_int tptp.one_one_int @t87) @t87) tptp.zero_zero_int) (tptp.ord_less_int @t87 tptp.zero_zero_int)))) % 0.37/0.60 (assume @p68 (forall @t16 (= (= @t76 tptp.zero_zero_int) @t13))) % 0.37/0.60 (assume @p69 (forall @t88 (not (= @t89 tptp.pls)))) % 0.37/0.60 (assume @p70 (forall (@list @t90) (not (= tptp.pls @t91)))) % 0.37/0.60 (assume @p71 (forall @t93 (not (= @t89 @t92)))) % 0.37/0.60 (assume @p72 (forall @t93 (not (= @t94 @t91)))) % 0.37/0.60 (assume @p73 (forall @t84 (= (= @t60 tptp.pls) (= @t31 tptp.pls)))) % 0.37/0.60 (assume @p74 (forall (@list @t30) (= (= tptp.pls @t59) (= tptp.pls @t30)))) % 0.37/0.60 (assume @p75 (= (tptp.bit0 tptp.pls) tptp.pls)) % 0.37/0.60 (assume @p76 (= tptp.pls tptp.zero_zero_int)) % 0.37/0.60 (assume @p77 (not (= tptp.zero_zero_int tptp.one_one_int))) % 0.37/0.60 (assume @p78 (forall @t88 (= (tptp.plus_plus_int @t61 tptp.pls) @t61))) % 0.37/0.60 (assume @p79 (forall @t88 (= (tptp.plus_plus_int tptp.pls @t61) @t61))) % 0.37/0.60 (assume @p80 (forall @t93 (= (tptp.plus_plus_int @t94 @t92) (tptp.bit0 @t95)))) % 0.37/0.60 (assume @p81 (forall @t88 (= @t94 (tptp.plus_plus_int @t61 @t61)))) % 0.37/0.60 (assume @p82 (forall @t96 (= (tptp.plus_plus_int @t45 tptp.zero_zero_int) @t45))) % 0.37/0.60 (assume @p83 (forall @t96 (= (tptp.plus_plus_int tptp.zero_zero_int @t45) @t45))) % 0.37/0.60 (assume @p84 (= @t38 tptp.zero_zero_int)) % 0.37/0.60 (assume @p85 (forall (@list @t97) (= (tptp.plus_plus_int @t38 @t97) @t97))) % 0.37/0.60 (assume @p86 (forall (@list @t98) (= (tptp.plus_plus_int @t98 @t38) @t98))) % 0.37/0.60 (assume @p87 (forall @t100 (= (= (tptp.power_power_int @t12 @t72) tptp.zero_zero_int) (and @t13 @t99)))) % 0.37/0.60 (assume @p88 (forall @t100 (= (= (tptp.power_power_nat @t12 @t72) tptp.zero_zero_nat) (and (= @t12 tptp.zero_zero_nat) @t99)))) % 0.37/0.60 (assume @p89 (forall (@list @t103 @t102 @t101) (= (tptp.plus_plus_int (tptp.number_number_of_int @t103) (tptp.plus_plus_int (tptp.number_number_of_int @t102) @t101)) (tptp.plus_plus_int (tptp.number_number_of_int (tptp.plus_plus_int @t103 @t102)) @t101)))) % 0.37/0.60 (assume @p90 (forall (@list @t105 @t104) (= (tptp.plus_plus_int (tptp.number_number_of_int @t105) (tptp.number_number_of_int @t104)) (tptp.number_number_of_int (tptp.plus_plus_int @t105 @t104))))) % 0.37/0.60 (assume @p91 (forall (@list @t107 @t106) (= (tptp.number_number_of_int (tptp.plus_plus_int @t107 @t106)) (tptp.plus_plus_int (tptp.number_number_of_int @t107) (tptp.number_number_of_int @t106))))) % 0.37/0.60 (assume @p92 (forall @t93 (= (tptp.plus_plus_int @t89 @t92) @t108))) % 0.37/0.60 (assume @p93 (forall @t93 (= (tptp.plus_plus_int @t94 @t91) @t108))) % 0.37/0.60 (assume @p94 (forall @t88 (= @t89 (tptp.plus_plus_int (tptp.plus_plus_int tptp.one_one_int @t61) @t61)))) % 0.37/0.60 (assume @p95 (forall @t96 (not (= (tptp.plus_plus_int (tptp.plus_plus_int tptp.one_one_int @t45) @t45) tptp.zero_zero_int)))) % 0.37/0.60 (assume @p96 (forall @t111 (= (tptp.number_number_of_nat @t110) (tptp.semiri984289939at_nat @t109)))) % 0.37/0.60 (assume @p97 (forall @t111 (= (tptp.number_number_of_int @t110) @t110))) % 0.37/0.60 (assume @p98 (forall @t16 (= (tptp.ord_less_int tptp.zero_zero_int @t14) (not @t13)))) % 0.37/0.60 (assume @p99 (forall (@list @t112) (not (tptp.ord_less_int (tptp.power_power_int @t112 @t9) tptp.zero_zero_int)))) % 0.37/0.60 (assume @p100 (forall @t11 (= (tptp.ord_less_int tptp.zero_zero_int @t10) (or (not @t6) (not @t4))))) % 0.37/0.60 (assume @p101 (not (not @t114))) % 0.37/0.60 (assume @p102 true) % 0.37/0.60 (step @p103 :rule evaluate :args ((= true false))) % 0.37/0.60 (step @p104 :rule false_intro :premises (@p60)) % 0.37/0.60 (step @p105 :rule eq-symm :args (@t12 tptp.zero_zero_int)) % 0.37/0.60 (step @p106 :rule eq-symm :args (@t14 tptp.zero_zero_int)) % 0.37/0.60 (step @p107 :rule cong :premises (@p106 @p105) :args (@t15)) % 0.37/0.60 (step @p108 :rule cong :premises (@p107) :args (@t17)) % 0.37/0.60 (step @p109 :rule eq_resolve :premises (@p8 @p108)) % 0.37/0.60 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t1))) % 0.37/0.60 (step @p111 :rule eq-symm :args (@t113 tptp.zero_zero_int)) % 0.37/0.60 (step @p112 :rule bool-double-not-elim :args (@t114)) % 0.37/0.60 (step @p113 :rule trans :premises (@p112 @p111)) % 0.37/0.60 (step @p114 :rule eq_resolve :premises (@p101 @p113)) % 0.37/0.60 (step @p115 :rule cnf_equiv_pos1 :args (@t117)) % 0.37/0.60 (step @p116 :rule reordering :premises (@p115) :args ((or (not @t116) @t115 (not @t117)))) % 0.37/0.60 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p110) :args (@t115 (@list false false) (@list @t116 @t117))) % 0.37/0.60 (step @p118 :rule symm :premises (@p117)) % 0.37/0.60 (step @p119 :rule refl :args (tptp.pls)) % 0.37/0.61 (step @p120 :rule cong :premises (@p119 @p118) :args ((tptp.ord_less_int tptp.pls @t1))) % 0.37/0.61 (step @p121 :rule refl :args (@t1)) % 0.37/0.61 (step @p122 :rule symm :premises (@p76)) % 0.37/0.61 (step @p123 :rule cong :premises (@p122 @p121) :args (@t2)) % 0.37/0.61 (step @p124 :rule true_intro :premises (@p1)) % 0.37/0.61 (step @p125 :rule symm :premises (@p124)) % 0.37/0.61 (step @p126 :rule trans :premises (@p125 @p123 @p120 @p104)) % 0.37/0.61 (step @p127 false :rule eq_resolve :premises (@p126 @p103)) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------