%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM925^1 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 0.39s 0.62s % 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/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 12:33:07 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.39/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort tptp.nat 0) % 0.39/0.62 (declare-sort tptp.int 0) % 0.39/0.62 (declare-const tptp.semiri984289939at_nat (-> tptp.nat tptp.nat)) % 0.39/0.62 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 0.39/0.62 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.39/0.62 (declare-const tptp.number_number_of_int (-> tptp.int tptp.int)) % 0.39/0.62 (declare-const tptp.zero_zero_nat tptp.nat) % 0.39/0.62 (declare-const tptp.power_power_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.39/0.62 (declare-const tptp.n tptp.nat) % 0.39/0.62 (declare-const tptp.one_one_int tptp.int) % 0.39/0.62 (declare-const tptp.semiri1621563631at_int (-> tptp.nat tptp.int)) % 0.39/0.62 (declare-const tptp.plus_plus_int (-> tptp.int tptp.int tptp.int)) % 0.39/0.62 (declare-const tptp.zero_zero_int tptp.int) % 0.39/0.62 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 0.39/0.62 (declare-const tptp.t tptp.int) % 0.39/0.62 (declare-const tptp.number_number_of_nat (-> tptp.int tptp.nat)) % 0.39/0.62 (declare-const tptp.one_one_nat tptp.nat) % 0.39/0.62 (declare-const tptp.pls tptp.int) % 0.39/0.62 (declare-const tptp.power_power_int (-> tptp.int tptp.nat tptp.int)) % 0.39/0.62 (declare-const tptp.bit1 (-> tptp.int tptp.int)) % 0.39/0.62 (declare-const tptp.bit0 (-> tptp.int tptp.int)) % 0.39/0.62 (define @t1 () (_ tptp.semiri1621563631at_int tptp.n)) % 0.39/0.62 (define @t2 () (_ tptp.plus_plus_int tptp.one_one_int)) % 0.39/0.62 (define @t3 () (_ @t2 @t1)) % 0.39/0.62 (define @t4 () (_ tptp.ord_less_int tptp.zero_zero_int)) % 0.39/0.62 (define @t5 () (_ tptp.ord_less_int tptp.one_one_int)) % 0.39/0.62 (define @t6 () (@var "Y_3" tptp.int)) % 0.39/0.62 (define @t7 () (@var "X_3" tptp.int)) % 0.39/0.62 (define @t8 () (_ tptp.bit1 tptp.pls)) % 0.39/0.62 (define @t9 () (_ tptp.bit0 @t8)) % 0.39/0.62 (define @t10 () (_ tptp.number_number_of_nat @t9)) % 0.39/0.62 (define @t11 () (_ tptp.power_power_int @t7)) % 0.39/0.62 (define @t12 () (_ @t11 @t10)) % 0.39/0.62 (define @t13 () (@list @t7 @t6)) % 0.39/0.62 (define @t14 () (_ tptp.power_power_int tptp.zero_zero_int)) % 0.39/0.62 (define @t15 () (_ tptp.power_power_nat tptp.zero_zero_nat)) % 0.39/0.62 (define @t16 () (@var "A_7" tptp.int)) % 0.39/0.62 (define @t17 () (_ tptp.power_power_int @t16)) % 0.39/0.62 (define @t18 () (_ @t17 @t10)) % 0.39/0.62 (define @t19 () (= (= @t18 tptp.zero_zero_int) (= @t16 tptp.zero_zero_int))) % 0.39/0.62 (define @t20 () (@list @t16)) % 0.39/0.62 (define @t21 () (forall @t20 @t19)) % 0.39/0.62 (define @t22 () (@var "W_7" tptp.int)) % 0.39/0.62 (define @t23 () (@var "V_5" tptp.int)) % 0.39/0.62 (define @t24 () (@var "W_6" tptp.int)) % 0.39/0.62 (define @t25 () (_ tptp.number_number_of_nat @t24)) % 0.39/0.62 (define @t26 () (_ @t14 @t25)) % 0.39/0.62 (define @t27 () (= @t25 tptp.zero_zero_nat)) % 0.39/0.62 (define @t28 () (not @t27)) % 0.39/0.62 (define @t29 () (@list @t24)) % 0.39/0.62 (define @t30 () (_ @t15 @t25)) % 0.39/0.62 (define @t31 () (_ tptp.number_number_of_int @t8)) % 0.39/0.62 (define @t32 () (@var "L" tptp.int)) % 0.39/0.62 (define @t33 () (@var "K" tptp.int)) % 0.39/0.62 (define @t34 () (_ tptp.ord_less_int @t33)) % 0.39/0.62 (define @t35 () (_ @t34 @t32)) % 0.39/0.62 (define @t36 () (@list @t33 @t32)) % 0.39/0.62 (define @t37 () (@var "W_4" tptp.int)) % 0.39/0.62 (define @t38 () (@var "V_3" tptp.int)) % 0.39/0.62 (define @t39 () (_ tptp.plus_plus_int @t38)) % 0.39/0.62 (define @t40 () (@var "Y_5" tptp.int)) % 0.39/0.62 (define @t41 () (@var "X_6" tptp.int)) % 0.39/0.62 (define @t42 () (_ tptp.number_number_of_int tptp.pls)) % 0.39/0.62 (define @t43 () (@var "N_1" tptp.nat)) % 0.39/0.62 (define @t44 () (@var "M" tptp.nat)) % 0.39/0.62 (define @t45 () (_ tptp.semiri1621563631at_int (_ (_ tptp.power_power_nat @t44) @t43))) % 0.39/0.62 (define @t46 () (_ tptp.semiri1621563631at_int @t44)) % 0.39/0.62 (define @t47 () (_ (_ tptp.power_power_int @t46) @t43)) % 0.39/0.62 (define @t48 () (@list @t44 @t43)) % 0.39/0.62 (define @t49 () (@var "Z" tptp.int)) % 0.39/0.62 (define @t50 () (_ tptp.semiri1621563631at_int (_ (_ tptp.plus_plus_nat @t44) @t43))) % 0.39/0.62 (define @t51 () (_ tptp.semiri1621563631at_int @t43)) % 0.39/0.62 (define @t52 () (_ tptp.plus_plus_int @t46)) % 0.39/0.62 (define @t53 () (_ tptp.number_number_of_nat tptp.pls)) % 0.39/0.62 (define @t54 () (@var "K2" tptp.int)) % 0.39/0.62 (define @t55 () (@var "K1" tptp.int)) % 0.39/0.62 (define @t56 () (_ (_ tptp.ord_less_int @t55) @t54)) % 0.39/0.62 (define @t57 () (_ tptp.ord_less_int (_ tptp.bit1 @t55))) % 0.39/0.62 (define @t58 () (@list @t55 @t54)) % 0.39/0.62 (define @t59 () (_ tptp.bit1 @t32)) % 0.39/0.62 (define @t60 () (_ tptp.bit1 @t33)) % 0.39/0.62 (define @t61 () (_ tptp.ord_less_int @t60)) % 0.39/0.62 (define @t62 () (_ tptp.ord_less_int tptp.pls)) % 0.39/0.62 (define @t63 () (_ tptp.bit0 @t54)) % 0.39/0.62 (define @t64 () (_ tptp.bit0 @t32)) % 0.39/0.62 (define @t65 () (_ tptp.bit0 @t33)) % 0.39/0.62 (define @t66 () (_ tptp.ord_less_int @t65)) % 0.39/0.62 (define @t67 () (@var "J" tptp.int)) % 0.39/0.62 (define @t68 () (@var "I" tptp.int)) % 0.39/0.62 (define @t69 () (@var "V_4" tptp.int)) % 0.39/0.62 (define @t70 () (_ tptp.number_number_of_nat @t69)) % 0.39/0.62 (define @t71 () (_ tptp.number_number_of_nat @t38)) % 0.39/0.62 (define @t72 () (_ (_ tptp.plus_plus_nat @t71) @t70)) % 0.39/0.62 (define @t73 () (_ (_ tptp.ord_less_int @t69) tptp.pls)) % 0.39/0.62 (define @t74 () (_ (_ tptp.ord_less_int @t38) tptp.pls)) % 0.39/0.62 (define @t75 () (_ tptp.number_number_of_nat @t8)) % 0.39/0.62 (define @t76 () (@var "Y_4" tptp.int)) % 0.39/0.62 (define @t77 () (@var "X_5" tptp.int)) % 0.39/0.62 (define @t78 () (@var "W_5" tptp.int)) % 0.39/0.62 (define @t79 () (_ tptp.number_number_of_nat @t78)) % 0.39/0.62 (define @t80 () (@var "X_4" tptp.nat)) % 0.39/0.62 (define @t81 () (_ tptp.number_number_of_int @t78)) % 0.39/0.62 (define @t82 () (@var "X_4" tptp.int)) % 0.39/0.62 (define @t83 () (= @t33 @t32)) % 0.39/0.62 (define @t84 () (@var "A_6" tptp.int)) % 0.39/0.62 (define @t85 () (@var "Z3" tptp.int)) % 0.39/0.62 (define @t86 () (@var "Z2" tptp.int)) % 0.39/0.62 (define @t87 () (@var "Z1" tptp.int)) % 0.39/0.62 (define @t88 () (_ tptp.plus_plus_int @t87)) % 0.39/0.62 (define @t89 () (_ tptp.plus_plus_int @t7)) % 0.39/0.62 (define @t90 () (_ tptp.plus_plus_int @t6)) % 0.39/0.62 (define @t91 () (_ tptp.plus_plus_int @t49)) % 0.39/0.62 (define @t92 () (@var "X_2" tptp.int)) % 0.39/0.62 (define @t93 () (@var "Y_2" tptp.int)) % 0.39/0.62 (define @t94 () (_ @t34 tptp.pls)) % 0.39/0.62 (define @t95 () (@list @t33)) % 0.39/0.62 (define @t96 () (_ tptp.ord_less_int @t37)) % 0.39/0.62 (define @t97 () (_ @t96 tptp.zero_zero_int)) % 0.39/0.62 (define @t98 () (@list @t37)) % 0.39/0.62 (define @t99 () (not (_ @t62 tptp.zero_zero_int))) % 0.39/0.62 (define @t100 () (@var "K" tptp.nat)) % 0.39/0.62 (define @t101 () (@var "X_1" tptp.int)) % 0.39/0.62 (define @t102 () (@var "Y_1" tptp.int)) % 0.39/0.62 (define @t103 () (_ (_ tptp.plus_plus_int (_ @t2 @t49)) @t49)) % 0.39/0.62 (define @t104 () (@list @t49)) % 0.39/0.62 (define @t105 () (@var "A_5" tptp.int)) % 0.39/0.62 (define @t106 () (@list @t32)) % 0.39/0.62 (define @t107 () (_ tptp.plus_plus_int @t33)) % 0.39/0.62 (define @t108 () (_ @t107 @t32)) % 0.39/0.62 (define @t109 () (_ tptp.plus_plus_int @t65)) % 0.39/0.62 (define @t110 () (@var "A_4" tptp.int)) % 0.39/0.62 (define @t111 () (@var "A_3" tptp.int)) % 0.39/0.62 (define @t112 () (@var "W_3" tptp.int)) % 0.39/0.62 (define @t113 () (_ tptp.number_number_of_nat @t112)) % 0.39/0.62 (define @t114 () (not (= @t113 tptp.zero_zero_nat))) % 0.39/0.62 (define @t115 () (@var "A_2" tptp.int)) % 0.39/0.62 (define @t116 () (@var "A_2" tptp.nat)) % 0.39/0.62 (define @t117 () (@var "Z_1" tptp.int)) % 0.39/0.62 (define @t118 () (@var "W_2" tptp.int)) % 0.39/0.62 (define @t119 () (@var "V_2" tptp.int)) % 0.39/0.62 (define @t120 () (@var "W_1" tptp.int)) % 0.39/0.62 (define @t121 () (@var "V_1" tptp.int)) % 0.39/0.62 (define @t122 () (@var "W" tptp.int)) % 0.39/0.62 (define @t123 () (@var "V" tptp.int)) % 0.39/0.62 (define @t124 () (_ tptp.bit1 @t108)) % 0.39/0.62 (define @t125 () (@var "N" tptp.nat)) % 0.39/0.62 (define @t126 () (_ tptp.semiri1621563631at_int @t125)) % 0.39/0.62 (define @t127 () (@list @t125)) % 0.39/0.62 (define @t128 () (@var "A_1" tptp.int)) % 0.39/0.62 (define @t129 () (@var "A" tptp.int)) % 0.39/0.62 (define @t130 () (@var "Y" tptp.int)) % 0.39/0.62 (define @t131 () (@var "X" tptp.int)) % 0.39/0.62 (define @t132 () (_ (_ tptp.power_power_int @t3) @t10)) % 0.39/0.62 (define @t133 () (= @t132 tptp.zero_zero_int)) % 0.39/0.62 (define @t134 () (tptp.number_number_of_int tptp.pls)) % 0.39/0.62 (define @t135 () (tptp.ord_less_int tptp.pls @t134)) % 0.39/0.62 (define @t136 () (_ @t62 @t42)) % 0.39/0.62 (define @t137 () (tptp.bit1 tptp.pls)) % 0.39/0.63 (define @t138 () (tptp.bit0 @t137)) % 0.39/0.63 (define @t139 () (tptp.number_number_of_nat @t138)) % 0.39/0.63 (define @t140 () (tptp.power_power_int @t16 @t139)) % 0.39/0.63 (define @t141 () (= @t140 @t134)) % 0.39/0.63 (define @t142 () (= @t16 @t134)) % 0.39/0.63 (define @t143 () (= (= @t134 @t140) @t142)) % 0.39/0.63 (define @t144 () (= @t16 @t42)) % 0.39/0.63 (define @t145 () (= @t42 @t140)) % 0.39/0.63 (define @t146 () (= @t145 @t144)) % 0.39/0.63 (define @t147 () (= @t42 @t16)) % 0.39/0.63 (define @t148 () (= tptp.zero_zero_int @t140)) % 0.39/0.63 (define @t149 () (= tptp.zero_zero_int @t16)) % 0.39/0.63 (define @t150 () (= @t149 @t148)) % 0.39/0.63 (define @t151 () (= tptp.zero_zero_int @t18)) % 0.39/0.63 (define @t152 () (= @t151 @t149)) % 0.39/0.63 (define @t153 () (tptp.semiri1621563631at_int tptp.n)) % 0.39/0.63 (define @t154 () (tptp.number_number_of_int @t137)) % 0.39/0.63 (define @t155 () (tptp.plus_plus_int @t154 @t153)) % 0.39/0.63 (define @t156 () (= @t134 @t155)) % 0.39/0.63 (define @t157 () (tptp.power_power_int @t155 @t139)) % 0.39/0.63 (define @t158 () (= @t134 @t157)) % 0.39/0.63 (define @t159 () (= (= @t155 @t134) (= @t157 @t134))) % 0.39/0.63 (define @t160 () (forall @t20 (= @t142 @t141))) % 0.39/0.63 (define @t161 () (= @t158 @t156)) % 0.39/0.63 (define @t162 () (_ (_ tptp.plus_plus_int @t31) @t1)) % 0.39/0.63 (define @t163 () (_ (_ tptp.power_power_int @t162) @t10)) % 0.39/0.63 (define @t164 () (tptp.ord_less_int @t134 @t155)) % 0.39/0.63 (assume @p1 (_ @t4 @t3)) % 0.39/0.63 (assume @p2 (_ @t5 tptp.t)) % 0.39/0.63 (assume @p3 (forall @t13 (= (= (_ (_ tptp.plus_plus_int @t12) (_ (_ tptp.power_power_int @t6) @t10)) tptp.zero_zero_int) (and (= @t7 tptp.zero_zero_int) (= @t6 tptp.zero_zero_int))))) % 0.39/0.63 (assume @p4 (= (_ (_ tptp.power_power_int tptp.one_one_int) @t10) tptp.one_one_int)) % 0.39/0.63 (assume @p5 (= (_ (_ tptp.power_power_nat tptp.one_one_nat) @t10) tptp.one_one_nat)) % 0.39/0.63 (assume @p6 (= (_ @t14 @t10) tptp.zero_zero_int)) % 0.39/0.63 (assume @p7 (= (_ @t15 @t10) tptp.zero_zero_nat)) % 0.39/0.63 (assume @p8 @t21) % 0.39/0.63 (assume @p9 (forall (@list @t22) (= (_ @t2 (_ tptp.number_number_of_int @t22)) (_ tptp.number_number_of_int (_ (_ tptp.plus_plus_int @t8) @t22))))) % 0.39/0.63 (assume @p10 (forall (@list @t23) (= (_ (_ tptp.plus_plus_int (_ tptp.number_number_of_int @t23)) tptp.one_one_int) (_ tptp.number_number_of_int (_ (_ tptp.plus_plus_int @t23) @t8))))) % 0.39/0.63 (assume @p11 (= (_ @t2 tptp.one_one_int) (_ tptp.number_number_of_int @t9))) % 0.39/0.63 (assume @p12 (= (_ (_ tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat) @t10)) % 0.39/0.63 (assume @p13 (forall (@list @t7) (= (_ (_ tptp.power_power_int @t12) @t10) (_ @t11 (_ tptp.number_number_of_nat (_ tptp.bit0 @t9)))))) % 0.39/0.63 (assume @p14 (forall @t29 (and (=> @t27 (= @t26 tptp.one_one_int)) (=> @t28 (= @t26 tptp.zero_zero_int))))) % 0.39/0.63 (assume @p15 (forall @t29 (and (=> @t27 (= @t30 tptp.one_one_nat)) (=> @t28 (= @t30 tptp.zero_zero_nat))))) % 0.39/0.63 (assume @p16 (= tptp.one_one_int @t31)) % 0.39/0.63 (assume @p17 (= @t31 tptp.one_one_int)) % 0.39/0.63 (assume @p18 (_ (_ tptp.ord_less_nat tptp.zero_zero_nat) tptp.n)) % 0.39/0.63 (assume @p19 (forall @t13 (or (_ (_ tptp.ord_less_int @t7) @t6) (= @t7 @t6) (_ (_ tptp.ord_less_int @t6) @t7)))) % 0.39/0.63 (assume @p20 (forall @t36 (= (_ (_ tptp.ord_less_int (_ tptp.number_number_of_int @t33)) (_ tptp.number_number_of_int @t32)) @t35))) % 0.39/0.63 (assume @p21 (forall (@list @t38 @t37) (= (_ (_ tptp.plus_plus_int (_ tptp.number_number_of_int @t38)) (_ tptp.number_number_of_int @t37)) (_ tptp.number_number_of_int (_ @t39 @t37))))) % 0.39/0.63 (assume @p22 (forall (@list @t41 @t40) (= (_ (_ tptp.ord_less_int (_ tptp.number_number_of_int @t41)) (_ tptp.number_number_of_int @t40)) (_ (_ tptp.ord_less_int @t41) @t40)))) % 0.39/0.63 (assume @p23 (= tptp.zero_zero_int @t42)) % 0.39/0.63 (assume @p24 (forall @t48 (= @t47 @t45))) % 0.39/0.63 (assume @p25 (forall @t48 (= @t45 @t47))) % 0.39/0.63 (assume @p26 (forall (@list @t44 @t43 @t49) (= (_ @t52 (_ (_ tptp.plus_plus_int @t51) @t49)) (_ (_ tptp.plus_plus_int @t50) @t49)))) % 0.39/0.63 (assume @p27 (forall @t48 (= (_ @t52 @t51) @t50))) % 0.39/0.63 (assume @p28 (= (_ tptp.semiri1621563631at_int tptp.one_one_nat) tptp.one_one_int)) % 0.39/0.63 (assume @p29 (= @t53 tptp.zero_zero_nat)) % 0.39/0.63 (assume @p30 (= tptp.zero_zero_nat @t53)) % 0.39/0.63 (assume @p31 (forall (@list @t43) (= (= @t51 tptp.zero_zero_int) (= @t43 tptp.zero_zero_nat)))) % 0.39/0.63 (assume @p32 (= (_ tptp.semiri1621563631at_int tptp.zero_zero_nat) tptp.zero_zero_int)) % 0.39/0.63 (assume @p33 (forall @t58 (= (_ @t57 (_ tptp.bit1 @t54)) @t56))) % 0.39/0.63 (assume @p34 (forall @t36 (= (_ @t61 @t59) @t35))) % 0.39/0.63 (assume @p35 (not (_ @t62 tptp.pls))) % 0.39/0.63 (assume @p36 (forall @t58 (= (_ (_ tptp.ord_less_int (_ tptp.bit0 @t55)) @t63) @t56))) % 0.39/0.63 (assume @p37 (forall @t36 (= (_ @t66 @t64) @t35))) % 0.39/0.63 (assume @p38 (forall (@list @t33 @t68 @t67) (=> (_ (_ tptp.ord_less_int @t68) @t67) (_ (_ tptp.ord_less_int (_ (_ tptp.plus_plus_int @t68) @t33)) (_ (_ tptp.plus_plus_int @t67) @t33))))) % 0.39/0.63 (assume @p39 (forall (@list @t69 @t38) (and (=> @t74 (= @t72 @t70)) (=> (not @t74) (and (=> @t73 (= @t72 @t71)) (=> (not @t73) (= @t72 (_ tptp.number_number_of_nat (_ @t39 @t69))))))))) % 0.39/0.63 (assume @p40 (= @t75 tptp.one_one_nat)) % 0.39/0.63 (assume @p41 (= tptp.one_one_nat @t75)) % 0.39/0.63 (assume @p42 (forall (@list @t77 @t76) (= (= (_ tptp.number_number_of_int @t77) (_ tptp.number_number_of_int @t76)) (= @t77 @t76)))) % 0.39/0.63 (assume @p43 (forall (@list @t78 @t80) (= (= @t79 @t80) (= @t80 @t79)))) % 0.39/0.63 (assume @p44 (forall (@list @t78 @t82) (= (= @t81 @t82) (= @t82 @t81)))) % 0.39/0.63 (assume @p45 (forall @t36 (= (= @t60 @t59) @t83))) % 0.39/0.63 (assume @p46 (forall @t36 (= (= @t65 @t64) @t83))) % 0.39/0.63 (assume @p47 (forall (@list @t84) (= (_ (_ tptp.ord_less_int (_ (_ tptp.plus_plus_int @t84) @t84)) tptp.zero_zero_int) (_ (_ tptp.ord_less_int @t84) tptp.zero_zero_int)))) % 0.39/0.63 (assume @p48 (forall (@list @t87 @t86 @t85) (= (_ (_ tptp.plus_plus_int (_ @t88 @t86)) @t85) (_ @t88 (_ (_ tptp.plus_plus_int @t86) @t85))))) % 0.39/0.63 (assume @p49 (forall (@list @t7 @t6 @t49) (= (_ @t89 (_ @t90 @t49)) (_ @t90 (_ @t89 @t49))))) % 0.39/0.63 (assume @p50 (forall (@list @t49 @t37) (= (_ @t91 @t37) (_ (_ tptp.plus_plus_int @t37) @t49)))) % 0.39/0.63 (assume @p51 (forall @t48 (= (= @t46 @t51) (= @t44 @t43)))) % 0.39/0.63 (assume @p52 (forall (@list @t92) (= (_ (_ tptp.ord_less_int (_ tptp.number_number_of_int @t92)) tptp.zero_zero_int) (_ (_ tptp.ord_less_int @t92) tptp.pls)))) % 0.39/0.63 (assume @p53 (forall (@list @t93) (= (_ @t4 (_ tptp.number_number_of_int @t93)) (_ @t62 @t93)))) % 0.39/0.63 (assume @p54 (forall @t95 (= (_ @t61 tptp.pls) @t94))) % 0.39/0.63 (assume @p55 (forall @t58 (= (_ @t57 @t63) @t56))) % 0.39/0.63 (assume @p56 (forall @t36 (= (_ @t61 @t64) @t35))) % 0.39/0.63 (assume @p57 (forall @t95 (= (_ @t66 tptp.pls) @t94))) % 0.39/0.63 (assume @p58 (forall @t95 (= (_ @t62 @t65) (_ @t62 @t33)))) % 0.39/0.63 (assume @p59 (forall @t98 (= (_ (_ tptp.ord_less_int (_ tptp.bit1 @t37)) tptp.zero_zero_int) @t97))) % 0.39/0.63 (assume @p60 @t99) % 0.39/0.63 (assume @p61 (forall @t98 (= (_ (_ tptp.ord_less_int (_ tptp.bit0 @t37)) tptp.zero_zero_int) @t97))) % 0.39/0.63 (assume @p62 (_ @t4 tptp.one_one_int)) % 0.39/0.63 (assume @p63 (forall (@list @t37 @t49) (= (_ @t96 (_ @t91 tptp.one_one_int)) (or (_ @t96 @t49) (= @t37 @t49))))) % 0.39/0.63 (assume @p64 (forall (@list @t100) (not (_ (_ tptp.ord_less_int (_ tptp.semiri1621563631at_int @t100)) tptp.zero_zero_int)))) % 0.39/0.63 (assume @p65 (forall (@list @t101) (= (_ (_ tptp.ord_less_int (_ tptp.number_number_of_int @t101)) tptp.one_one_int) (_ (_ tptp.ord_less_int @t101) @t8)))) % 0.39/0.63 (assume @p66 (forall (@list @t102) (= (_ @t5 (_ tptp.number_number_of_int @t102)) (_ (_ tptp.ord_less_int @t8) @t102)))) % 0.39/0.63 (assume @p67 (forall @t104 (= (_ (_ tptp.ord_less_int @t103) tptp.zero_zero_int) (_ (_ tptp.ord_less_int @t49) tptp.zero_zero_int)))) % 0.39/0.63 (assume @p68 (forall (@list @t105) (= (= (_ (_ tptp.plus_plus_int @t105) @t105) tptp.zero_zero_int) (= @t105 tptp.zero_zero_int)))) % 0.39/0.63 (assume @p69 (forall @t95 (not (= @t60 tptp.pls)))) % 0.39/0.63 (assume @p70 (forall @t106 (not (= tptp.pls @t59)))) % 0.39/0.63 (assume @p71 (forall @t36 (not (= @t60 @t64)))) % 0.39/0.63 (assume @p72 (forall @t36 (not (= @t65 @t59)))) % 0.39/0.63 (assume @p73 (forall @t95 (= (= @t65 tptp.pls) (= @t33 tptp.pls)))) % 0.39/0.63 (assume @p74 (forall @t106 (= (= tptp.pls @t64) (= tptp.pls @t32)))) % 0.39/0.63 (assume @p75 (= (_ tptp.bit0 tptp.pls) tptp.pls)) % 0.39/0.63 (assume @p76 (= tptp.pls tptp.zero_zero_int)) % 0.39/0.63 (assume @p77 (not (= tptp.zero_zero_int tptp.one_one_int))) % 0.39/0.63 (assume @p78 (forall @t95 (= (_ @t107 tptp.pls) @t33))) % 0.39/0.63 (assume @p79 (forall @t95 (= (_ (_ tptp.plus_plus_int tptp.pls) @t33) @t33))) % 0.39/0.63 (assume @p80 (forall @t36 (= (_ @t109 @t64) (_ tptp.bit0 @t108)))) % 0.39/0.63 (assume @p81 (forall @t95 (= @t65 (_ @t107 @t33)))) % 0.39/0.63 (assume @p82 (forall @t104 (= (_ @t91 tptp.zero_zero_int) @t49))) % 0.39/0.63 (assume @p83 (forall @t104 (= (_ (_ tptp.plus_plus_int tptp.zero_zero_int) @t49) @t49))) % 0.39/0.63 (assume @p84 (= @t42 tptp.zero_zero_int)) % 0.39/0.63 (assume @p85 (forall (@list @t110) (= (_ (_ tptp.plus_plus_int @t42) @t110) @t110))) % 0.39/0.63 (assume @p86 (forall (@list @t111) (= (_ (_ tptp.plus_plus_int @t111) @t42) @t111))) % 0.39/0.63 (assume @p87 (forall (@list @t115 @t112) (= (= (_ (_ tptp.power_power_int @t115) @t113) tptp.zero_zero_int) (and (= @t115 tptp.zero_zero_int) @t114)))) % 0.39/0.63 (assume @p88 (forall (@list @t116 @t112) (= (= (_ (_ tptp.power_power_nat @t116) @t113) tptp.zero_zero_nat) (and (= @t116 tptp.zero_zero_nat) @t114)))) % 0.39/0.63 (assume @p89 (forall (@list @t119 @t118 @t117) (= (_ (_ tptp.plus_plus_int (_ tptp.number_number_of_int @t119)) (_ (_ tptp.plus_plus_int (_ tptp.number_number_of_int @t118)) @t117)) (_ (_ tptp.plus_plus_int (_ tptp.number_number_of_int (_ (_ tptp.plus_plus_int @t119) @t118))) @t117)))) % 0.39/0.63 (assume @p90 (forall (@list @t121 @t120) (= (_ (_ tptp.plus_plus_int (_ tptp.number_number_of_int @t121)) (_ tptp.number_number_of_int @t120)) (_ tptp.number_number_of_int (_ (_ tptp.plus_plus_int @t121) @t120))))) % 0.39/0.63 (assume @p91 (forall (@list @t123 @t122) (= (_ tptp.number_number_of_int (_ (_ tptp.plus_plus_int @t123) @t122)) (_ (_ tptp.plus_plus_int (_ tptp.number_number_of_int @t123)) (_ tptp.number_number_of_int @t122))))) % 0.39/0.63 (assume @p92 (forall @t36 (= (_ (_ tptp.plus_plus_int @t60) @t64) @t124))) % 0.39/0.63 (assume @p93 (forall @t36 (= (_ @t109 @t59) @t124))) % 0.39/0.63 (assume @p94 (forall @t95 (= @t60 (_ (_ tptp.plus_plus_int (_ @t2 @t33)) @t33)))) % 0.39/0.63 (assume @p95 (forall @t104 (not (= @t103 tptp.zero_zero_int)))) % 0.39/0.63 (assume @p96 (forall @t127 (= (_ tptp.number_number_of_nat @t126) (_ tptp.semiri984289939at_nat @t125)))) % 0.39/0.63 (assume @p97 (forall @t127 (= (_ tptp.number_number_of_int @t126) @t126))) % 0.39/0.63 (assume @p98 (forall (@list @t128) (= (_ @t4 (_ (_ tptp.power_power_int @t128) @t10)) (not (= @t128 tptp.zero_zero_int))))) % 0.39/0.63 (assume @p99 (forall (@list @t129) (not (_ (_ tptp.ord_less_int (_ (_ tptp.power_power_int @t129) @t10)) tptp.zero_zero_int)))) % 0.39/0.63 (assume @p100 (forall (@list @t131 @t130) (= (_ @t4 (_ (_ tptp.plus_plus_int (_ (_ tptp.power_power_int @t131) @t10)) (_ (_ tptp.power_power_int @t130) @t10))) (or (not (= @t131 tptp.zero_zero_int)) (not (= @t130 tptp.zero_zero_int)))))) % 0.39/0.63 (assume @p101 (not (not @t133))) % 0.39/0.63 (assume @p102 true) % 0.39/0.63 (step @p103 :rule evaluate :args ((= true false))) % 0.39/0.63 (step @p104 :rule refl :args ((tptp.ord_less_int tptp.pls @t42))) % 0.39/0.63 (step @p105 :rule refl :args (@t134)) % 0.39/0.63 (step @p106 :rule refl :args (tptp.pls)) % 0.39/0.63 (step @p107 :rule cong :premises (@p106 @p105) :args (@t135)) % 0.39/0.63 (step @p108 :rule trans :premises (@p107 @p104)) % 0.39/0.63 (step @p109 :rule refl :args (@t62)) % 0.39/0.63 (step @p110 :rule ho_cong :premises (@p109 @p105)) % 0.39/0.63 (step @p111 :rule cong :premises (@p110 @p108) :args ((= (_ @t62 @t134) @t135))) % 0.39/0.63 (step @p112 :rule symm :premises (@p111)) % 0.39/0.63 (step @p113 :rule refl :args (@t136)) % 0.39/0.63 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 0.39/0.63 (step @p115 :rule refl :args (@t42)) % 0.39/0.63 (step @p116 :rule cong :premises (@p115 @p105) :args ((= @t42 @t134))) % 0.39/0.63 (step @p117 :rule symm :premises (@p116)) % 0.39/0.63 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 0.39/0.63 (step @p119 :rule refl :args (@t62)) % 0.39/0.63 (step @p120 :rule ho_cong :premises (@p119 @p118)) % 0.39/0.63 (step @p121 :rule trans :premises (@p120 @p114)) % 0.39/0.63 (step @p122 :rule cong :premises (@p121) :args ((not @t136))) % 0.39/0.63 (step @p123 :rule ho_cong :premises (@p119 @p23)) % 0.39/0.63 (step @p124 :rule cong :premises (@p123) :args (@t99)) % 0.39/0.63 (step @p125 :rule trans :premises (@p124 @p122)) % 0.39/0.63 (step @p126 :rule eq_resolve :premises (@p60 @p125)) % 0.39/0.63 (step @p127 :rule false_intro :premises (@p126)) % 0.39/0.63 (step @p128 :rule eq-symm :args (@t141 @t142)) % 0.39/0.63 (step @p129 :rule refl :args (@t142)) % 0.39/0.63 (step @p130 :rule eq-symm :args (@t134 @t140)) % 0.39/0.63 (step @p131 :rule cong :premises (@p130 @p129) :args (@t143)) % 0.39/0.63 (step @p132 :rule trans :premises (@p131 @p128)) % 0.39/0.63 (step @p133 :rule cong :premises (@p132) :args ((forall @t20 @t143))) % 0.39/0.63 (step @p134 :rule eq_resolve :premises (@p115 @p117)) % 0.39/0.63 (step @p135 :rule refl :args (@t16)) % 0.39/0.63 (step @p136 :rule cong :premises (@p135 @p134) :args (@t144)) % 0.39/0.63 (step @p137 :rule refl :args (@t140)) % 0.39/0.63 (step @p138 :rule cong :premises (@p134 @p137) :args (@t145)) % 0.39/0.63 (step @p139 :rule cong :premises (@p138 @p136) :args (@t146)) % 0.39/0.63 (step @p140 :rule cong :premises (@p139) :args ((forall @t20 @t146))) % 0.39/0.63 (step @p141 :rule trans :premises (@p140 @p133)) % 0.39/0.63 (step @p142 :rule eq-symm :args (@t42 @t16)) % 0.39/0.63 (step @p143 :rule refl :args (@t145)) % 0.39/0.63 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t145 @t147))) % 0.39/0.63 (step @p145 :rule eq-symm :args (@t147 @t145)) % 0.39/0.63 (step @p146 :rule trans :premises (@p145 @p144)) % 0.39/0.63 (step @p147 :rule cong :premises (@p146) :args ((forall @t20 (= @t147 @t145)))) % 0.39/0.63 (step @p148 :rule trans :premises (@p147 @p141)) % 0.39/0.63 (step @p149 :rule refl :args (@t140)) % 0.39/0.63 (step @p150 :rule cong :premises (@p23 @p149) :args (@t148)) % 0.39/0.63 (step @p151 :rule refl :args (@t16)) % 0.39/0.63 (step @p152 :rule cong :premises (@p23 @p151) :args (@t149)) % 0.39/0.63 (step @p153 :rule cong :premises (@p152 @p150) :args (@t150)) % 0.39/0.63 (step @p154 :rule cong :premises (@p153) :args ((forall @t20 @t150))) % 0.39/0.63 (step @p155 :rule trans :premises (@p154 @p148)) % 0.39/0.63 (step @p156 :rule eq-symm :args (@t148 @t149)) % 0.39/0.63 (step @p157 :rule cong :premises (@p156) :args ((forall @t20 (= @t148 @t149)))) % 0.39/0.63 (step @p158 :rule refl :args (@t149)) % 0.39/0.63 (step @p159 :rule refl :args ((tptp.power_power_int @t16 @t10))) % 0.39/0.63 (step @p160 :rule refl :args ((tptp.number_number_of_nat @t9))) % 0.39/0.63 (step @p161 :rule refl :args ((tptp.bit0 @t8))) % 0.39/0.63 (step @p162 :rule refl :args (@t137)) % 0.39/0.63 (step @p163 :rule cong :premises (@p162) :args (@t138)) % 0.39/0.63 (step @p164 :rule trans :premises (@p163 @p161)) % 0.39/0.63 (step @p165 :rule cong :premises (@p164) :args (@t139)) % 0.39/0.63 (step @p166 :rule trans :premises (@p165 @p160)) % 0.39/0.63 (step @p167 :rule cong :premises (@p135 @p166) :args (@t140)) % 0.39/0.63 (step @p168 :rule trans :premises (@p167 @p159)) % 0.39/0.63 (step @p169 :rule refl :args (@t17)) % 0.39/0.63 (step @p170 :rule ho_cong :premises (@p169 @p166)) % 0.39/0.63 (step @p171 :rule cong :premises (@p170 @p168) :args ((= (_ @t17 @t139) @t140))) % 0.39/0.63 (step @p172 :rule symm :premises (@p171)) % 0.39/0.63 (step @p173 :rule refl :args (@t18)) % 0.39/0.63 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.39/0.63 (step @p175 :rule refl :args (tptp.number_number_of_nat)) % 0.39/0.63 (step @p176 :rule ho_cong :premises (@p175 @p164)) % 0.39/0.63 (step @p177 :rule cong :premises (@p176 @p166) :args ((= (_ tptp.number_number_of_nat @t138) @t139))) % 0.39/0.63 (step @p178 :rule symm :premises (@p177)) % 0.39/0.63 (step @p179 :rule refl :args (@t10)) % 0.39/0.63 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 0.39/0.63 (step @p181 :rule refl :args (tptp.bit0)) % 0.39/0.63 (step @p182 :rule ho_cong :premises (@p181 @p162)) % 0.39/0.63 (step @p183 :rule cong :premises (@p182 @p164) :args ((= (_ tptp.bit0 @t137) @t138))) % 0.39/0.63 (step @p184 :rule symm :premises (@p183)) % 0.39/0.63 (step @p185 :rule refl :args (@t9)) % 0.39/0.63 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.39/0.63 (step @p187 :rule refl :args (@t8)) % 0.39/0.63 (step @p188 :rule cong :premises (@p187 @p162) :args ((= @t8 @t137))) % 0.39/0.63 (step @p189 :rule symm :premises (@p188)) % 0.39/0.63 (step @p190 :rule eq_resolve :premises (@p187 @p189)) % 0.39/0.63 (step @p191 :rule ho_cong :premises (@p181 @p190)) % 0.39/0.63 (step @p192 :rule trans :premises (@p191 @p186)) % 0.39/0.63 (step @p193 :rule ho_cong :premises (@p175 @p192)) % 0.39/0.63 (step @p194 :rule trans :premises (@p193 @p180)) % 0.39/0.63 (step @p195 :rule ho_cong :premises (@p169 @p194)) % 0.39/0.63 (step @p196 :rule trans :premises (@p195 @p174)) % 0.39/0.63 (step @p197 :rule refl :args (tptp.zero_zero_int)) % 0.39/0.63 (step @p198 :rule cong :premises (@p197 @p196) :args (@t151)) % 0.39/0.63 (step @p199 :rule cong :premises (@p198 @p158) :args (@t152)) % 0.39/0.63 (step @p200 :rule cong :premises (@p199) :args ((forall @t20 @t152))) % 0.39/0.63 (step @p201 :rule trans :premises (@p200 @p157)) % 0.39/0.63 (step @p202 :rule eq-symm :args (@t16 tptp.zero_zero_int)) % 0.39/0.63 (step @p203 :rule eq-symm :args (@t18 tptp.zero_zero_int)) % 0.39/0.63 (step @p204 :rule cong :premises (@p203 @p202) :args (@t19)) % 0.39/0.63 (step @p205 :rule cong :premises (@p204) :args (@t21)) % 0.39/0.63 (step @p206 :rule trans :premises (@p205 @p201)) % 0.39/0.63 (step @p207 :rule trans :premises (@p206 @p155)) % 0.39/0.63 (step @p208 :rule eq_resolve :premises (@p8 @p207)) % 0.39/0.63 (step @p209 :rule eq-symm :args (@t156 @t158)) % 0.39/0.63 (step @p210 :rule eq-symm :args (@t157 @t134)) % 0.39/0.63 (step @p211 :rule eq-symm :args (@t155 @t134)) % 0.39/0.63 (step @p212 :rule cong :premises (@p211 @p210) :args (@t159)) % 0.39/0.63 (step @p213 :rule trans :premises (@p212 @p209)) % 0.39/0.63 (step @p214 :rule refl :args (@t160)) % 0.39/0.63 (step @p215 :rule cong :premises (@p214 @p213) :args ((=> @t160 @t159))) % 0.39/0.63 (assume-push @p323 @t160) % 0.39/0.63 (step @p217 :rule instantiate :premises (@p208) :args ((@list @t155))) % 0.39/0.63 (step-pop @p324 :rule scope :premises (@p217)) % 0.39/0.63 (step @p218 :rule process_scope :premises (@p324) :args (@t159)) % 0.39/0.63 (step @p220 :rule eq_resolve :premises (@p218 @p215)) % 0.39/0.63 (step @p221 :rule implies_elim :premises (@p220)) % 0.39/0.63 (step @p222 :rule chain_m_resolution :premises (@p221 @p208) :args (@t161 (@list false) (@list @t160))) % 0.39/0.63 (step @p223 :rule refl :args ((tptp.power_power_int @t162 @t10))) % 0.39/0.63 (step @p224 :rule refl :args ((tptp.plus_plus_int @t31 @t1))) % 0.39/0.63 (step @p225 :rule refl :args (@t153)) % 0.39/0.63 (step @p226 :rule refl :args ((tptp.number_number_of_int @t8))) % 0.39/0.63 (step @p227 :rule cong :premises (@p162) :args (@t154)) % 0.39/0.63 (step @p228 :rule trans :premises (@p227 @p226)) % 0.39/0.63 (step @p229 :rule cong :premises (@p228 @p225) :args (@t155)) % 0.39/0.63 (step @p230 :rule trans :premises (@p229 @p224)) % 0.39/0.63 (step @p231 :rule cong :premises (@p230 @p166) :args (@t157)) % 0.39/0.63 (step @p232 :rule trans :premises (@p231 @p223)) % 0.39/0.63 (step @p233 :rule refl :args (tptp.power_power_int)) % 0.39/0.63 (step @p234 :rule ho_cong :premises (@p233 @p230)) % 0.39/0.63 (step @p235 :rule ho_cong :premises (@p234 @p166)) % 0.39/0.63 (step @p236 :rule cong :premises (@p235 @p232) :args ((= (_ (_ tptp.power_power_int @t155) @t139) @t157))) % 0.39/0.63 (step @p237 :rule symm :premises (@p236)) % 0.39/0.63 (step @p238 :rule refl :args (@t163)) % 0.39/0.63 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 0.39/0.63 (step @p240 :rule refl :args (tptp.bit0)) % 0.39/0.63 (step @p241 :rule ho_cong :premises (@p240 @p190)) % 0.39/0.63 (step @p242 :rule trans :premises (@p241 @p186)) % 0.39/0.63 (step @p243 :rule refl :args (tptp.number_number_of_nat)) % 0.39/0.63 (step @p244 :rule ho_cong :premises (@p243 @p242)) % 0.39/0.63 (step @p245 :rule trans :premises (@p244 @p180)) % 0.39/0.63 (step @p246 :rule refl :args (tptp.plus_plus_int)) % 0.39/0.63 (step @p247 :rule ho_cong :premises (@p246 @p228)) % 0.39/0.63 (step @p248 :rule ho_cong :premises (@p247 @p225)) % 0.39/0.63 (step @p249 :rule cong :premises (@p248 @p230) :args ((= (_ (_ tptp.plus_plus_int @t154) @t153) @t155))) % 0.39/0.63 (step @p250 :rule symm :premises (@p249)) % 0.39/0.63 (step @p251 :rule refl :args (@t162)) % 0.39/0.63 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 0.39/0.63 (step @p253 :rule refl :args (@t1)) % 0.39/0.63 (step @p254 :rule cong :premises (@p253 @p225) :args ((= @t1 @t153))) % 0.37/0.63 (step @p255 :rule symm :premises (@p254)) % 0.37/0.63 (step @p256 :rule eq_resolve :premises (@p253 @p255)) % 0.37/0.63 (step @p257 :rule refl :args (tptp.number_number_of_int)) % 0.37/0.63 (step @p258 :rule ho_cong :premises (@p257 @p162)) % 0.37/0.63 (step @p259 :rule cong :premises (@p258 @p228) :args ((= (_ tptp.number_number_of_int @t137) @t154))) % 0.37/0.63 (step @p260 :rule symm :premises (@p259)) % 0.37/0.63 (step @p261 :rule refl :args (@t31)) % 0.37/0.63 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 0.37/0.63 (step @p263 :rule refl :args (tptp.number_number_of_int)) % 0.37/0.63 (step @p264 :rule ho_cong :premises (@p263 @p190)) % 0.37/0.63 (step @p265 :rule trans :premises (@p264 @p262)) % 0.37/0.63 (step @p266 :rule refl :args (tptp.plus_plus_int)) % 0.37/0.63 (step @p267 :rule ho_cong :premises (@p266 @p265)) % 0.37/0.63 (step @p268 :rule ho_cong :premises (@p267 @p256)) % 0.37/0.63 (step @p269 :rule trans :premises (@p268 @p252)) % 0.37/0.63 (step @p270 :rule refl :args (tptp.power_power_int)) % 0.37/0.63 (step @p271 :rule ho_cong :premises (@p270 @p269)) % 0.37/0.63 (step @p272 :rule ho_cong :premises (@p271 @p245)) % 0.37/0.63 (step @p273 :rule trans :premises (@p272 @p239)) % 0.37/0.63 (step @p274 :rule cong :premises (@p118 @p273) :args ((= @t42 @t163))) % 0.37/0.63 (step @p275 :rule refl :args (@t10)) % 0.37/0.63 (step @p276 :rule refl :args (@t1)) % 0.37/0.63 (step @p277 :rule ho_cong :premises (@p266 @p16)) % 0.37/0.63 (step @p278 :rule ho_cong :premises (@p277 @p276)) % 0.37/0.63 (step @p279 :rule ho_cong :premises (@p270 @p278)) % 0.37/0.63 (step @p280 :rule ho_cong :premises (@p279 @p275)) % 0.37/0.63 (step @p281 :rule cong :premises (@p23 @p280) :args ((= tptp.zero_zero_int @t132))) % 0.37/0.63 (step @p282 :rule eq-symm :args (@t132 tptp.zero_zero_int)) % 0.37/0.63 (step @p283 :rule bool-double-not-elim :args (@t133)) % 0.37/0.63 (step @p284 :rule trans :premises (@p283 @p282)) % 0.37/0.63 (step @p285 :rule trans :premises (@p284 @p281 @p274)) % 0.37/0.63 (step @p286 :rule eq_resolve :premises (@p101 @p285)) % 0.37/0.63 (step @p287 :rule cnf_equiv_pos1 :args (@t161)) % 0.37/0.63 (step @p288 :rule reordering :premises (@p287) :args ((or (not @t158) @t156 (not @t161)))) % 0.37/0.63 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p222) :args (@t156 (@list false false) (@list @t158 @t161))) % 0.37/0.63 (step @p290 :rule symm :premises (@p289)) % 0.37/0.63 (step @p291 :rule refl :args (tptp.pls)) % 0.37/0.63 (step @p292 :rule cong :premises (@p291 @p118) :args ((= tptp.pls @t42))) % 0.37/0.63 (step @p293 :rule eq-symm :args (@t42 tptp.pls)) % 0.37/0.63 (step @p294 :rule cong :premises (@p23 @p291) :args ((= tptp.zero_zero_int tptp.pls))) % 0.37/0.63 (step @p295 :rule trans :premises (@p294 @p293)) % 0.37/0.63 (step @p296 :rule eq-symm :args (tptp.pls tptp.zero_zero_int)) % 0.37/0.63 (step @p297 :rule trans :premises (@p296 @p295 @p292)) % 0.37/0.63 (step @p298 :rule eq_resolve :premises (@p76 @p297)) % 0.37/0.63 (step @p299 :rule symm :premises (@p298)) % 0.37/0.63 (step @p300 :rule cong :premises (@p299 @p290) :args (@t164)) % 0.37/0.63 (step @p301 :rule refl :args ((tptp.ord_less_int @t42 @t162))) % 0.37/0.63 (step @p302 :rule cong :premises (@p105 @p230) :args (@t164)) % 0.37/0.63 (step @p303 :rule trans :premises (@p302 @p301)) % 0.37/0.63 (step @p304 :rule refl :args (tptp.ord_less_int)) % 0.37/0.63 (step @p305 :rule ho_cong :premises (@p304 @p105)) % 0.37/0.63 (step @p306 :rule ho_cong :premises (@p305 @p230)) % 0.37/0.63 (step @p307 :rule cong :premises (@p306 @p303) :args ((= (_ (_ tptp.ord_less_int @t134) @t155) @t164))) % 0.37/0.63 (step @p308 :rule symm :premises (@p307)) % 0.37/0.63 (step @p309 :rule refl :args ((_ (_ tptp.ord_less_int @t42) @t162))) % 0.37/0.63 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 0.37/0.63 (step @p311 :rule refl :args (tptp.ord_less_int)) % 0.37/0.63 (step @p312 :rule ho_cong :premises (@p311 @p118)) % 0.37/0.63 (step @p313 :rule ho_cong :premises (@p312 @p269)) % 0.37/0.63 (step @p314 :rule trans :premises (@p313 @p310)) % 0.37/0.63 (step @p315 :rule ho_cong :premises (@p311 @p23)) % 0.37/0.63 (step @p316 :rule ho_cong :premises (@p315 @p278)) % 0.37/0.63 (step @p317 :rule trans :premises (@p316 @p314)) % 0.37/0.63 (step @p318 :rule eq_resolve :premises (@p1 @p317)) % 0.37/0.63 (step @p319 :rule true_intro :premises (@p318)) % 0.37/0.63 (step @p320 :rule symm :premises (@p319)) % 0.37/0.63 (step @p321 :rule trans :premises (@p320 @p300 @p127)) % 0.37/0.63 (step @p322 false :rule eq_resolve :premises (@p321 @p103)) % 0.37/0.63 ) % 0.37/0.63 % SZS output end Proof % 0.37/0.63 % cvc5 exiting %------------------------------------------------------------------------------