%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV154^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:55:31 AM UTC 2026 % Result : Theorem 150.63s 150.99s % Output : Proof 150.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEV154^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n005.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:15:48 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 150.63/150.99 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.63/150.99 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.63/150.99 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.63/150.99 --- Run --ho-elim --full-saturate-quant at 18s... % 150.63/150.99 % SZS status Theorem % 150.63/150.99 % SZS output start Proof % 150.63/150.99 ( % 150.63/150.99 (declare-sort tptp.a 0) % 150.63/150.99 (define @t1 () (@var "Xy" tptp.a)) % 150.63/150.99 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 150.63/150.99 (define @t3 () (_ @t2 @t1)) % 150.63/150.99 (define @t4 () (@var "Xv" tptp.a)) % 150.63/150.99 (define @t5 () (_ @t2 @t4)) % 150.63/150.99 (define @t6 () (@var "Xu" tptp.a)) % 150.63/150.99 (define @t7 () (@var "S" (-> tptp.a tptp.a Bool))) % 150.63/150.99 (define @t8 () (_ (_ @t7 @t6) @t4)) % 150.63/150.99 (define @t9 () (@var "R" (-> tptp.a tptp.a Bool))) % 150.63/150.99 (define @t10 () (_ (_ @t9 @t6) @t4)) % 150.63/150.99 (define @t11 () (or @t10 @t8)) % 150.63/150.99 (define @t12 () (_ @t2 @t6)) % 150.63/150.99 (define @t13 () (and @t12 @t11)) % 150.63/150.99 (define @t14 () (@list @t6 @t4)) % 150.63/150.99 (define @t15 () (forall @t14 (=> @t13 @t5))) % 150.63/150.99 (define @t16 () (@var "Xw" tptp.a)) % 150.63/150.99 (define @t17 () (_ @t2 @t16)) % 150.63/150.99 (define @t18 () (@var "Xx" tptp.a)) % 150.63/150.99 (define @t19 () (_ (_ @t7 @t18) @t16)) % 150.63/150.99 (define @t20 () (_ (_ @t9 @t18) @t16)) % 150.63/150.99 (define @t21 () (or @t20 @t19)) % 150.63/150.99 (define @t22 () (@list @t16)) % 150.63/150.99 (define @t23 () (forall @t22 (=> @t21 @t17))) % 150.63/150.99 (define @t24 () (and @t23 @t15)) % 150.63/150.99 (define @t25 () (=> @t24 @t3)) % 150.63/150.99 (define @t26 () (@list @t2)) % 150.63/150.99 (define @t27 () (forall @t26 @t25)) % 150.63/150.99 (define @t28 () (@var "Xz" tptp.a)) % 150.63/150.99 (define @t29 () (_ @t2 @t28)) % 150.63/150.99 (define @t30 () (@var "Xx0" tptp.a)) % 150.63/150.99 (define @t31 () (_ (_ @t7 @t30) @t16)) % 150.63/150.99 (define @t32 () (_ (_ @t9 @t30) @t16)) % 150.63/150.99 (define @t33 () (or @t32 @t31)) % 150.63/150.99 (define @t34 () (forall @t22 (=> @t33 @t17))) % 150.63/150.99 (define @t35 () (and @t34 @t15)) % 150.63/150.99 (define @t36 () (=> @t35 @t29)) % 150.63/150.99 (define @t37 () (forall @t26 @t36)) % 150.63/150.99 (define @t38 () (@var "Xy0" tptp.a)) % 150.63/150.99 (define @t39 () (_ (_ @t7 @t38) @t16)) % 150.63/150.99 (define @t40 () (_ (_ @t9 @t38) @t16)) % 150.63/150.99 (define @t41 () (or @t40 @t39)) % 150.63/150.99 (define @t42 () (forall @t22 (=> @t41 @t17))) % 150.63/150.99 (define @t43 () (and @t42 @t15)) % 150.63/150.99 (define @t44 () (=> @t43 @t29)) % 150.63/150.99 (define @t45 () (forall @t26 @t44)) % 150.63/150.99 (define @t46 () (_ @t2 @t38)) % 150.63/150.99 (define @t47 () (=> @t35 @t46)) % 150.63/150.99 (define @t48 () (forall @t26 @t47)) % 150.63/150.99 (define @t49 () (and @t48 @t45)) % 150.63/150.99 (define @t50 () (=> @t49 @t37)) % 150.63/150.99 (define @t51 () (@list @t30 @t38 @t28)) % 150.63/150.99 (define @t52 () (forall @t51 @t50)) % 150.63/150.99 (define @t53 () (and @t12 @t8)) % 150.63/150.99 (define @t54 () (forall @t14 (=> @t53 @t5))) % 150.63/150.99 (define @t55 () (forall @t22 (=> @t31 @t17))) % 150.63/150.99 (define @t56 () (and @t55 @t54)) % 150.63/150.99 (define @t57 () (=> @t56 @t46)) % 150.63/150.99 (define @t58 () (forall @t26 @t57)) % 150.63/150.99 (define @t59 () (and @t12 @t10)) % 150.63/150.99 (define @t60 () (forall @t14 (=> @t59 @t5))) % 150.63/150.99 (define @t61 () (forall @t22 (=> @t32 @t17))) % 150.63/150.99 (define @t62 () (and @t61 @t60)) % 150.63/150.99 (define @t63 () (=> @t62 @t46)) % 150.63/150.99 (define @t64 () (forall @t26 @t63)) % 150.63/150.99 (define @t65 () (or @t64 @t58)) % 150.63/150.99 (define @t66 () (=> @t65 @t48)) % 150.63/150.99 (define @t67 () (@list @t30 @t38)) % 150.63/150.99 (define @t68 () (forall @t67 @t66)) % 150.63/150.99 (define @t69 () (and @t68 @t52)) % 150.63/150.99 (define @t70 () (=> @t69 @t27)) % 150.63/150.99 (define @t71 () (not @t70)) % 150.63/150.99 (define @t72 () (or @t27 @t71)) % 150.63/150.99 (define @t73 () (@list @t9 @t7 @t18 @t1)) % 150.63/150.99 (define @t74 () (forall @t73 @t72)) % 150.63/150.99 (define @t75 () (not @t74)) % 150.63/150.99 (define @t76 () (@var "BOUND_VARIABLE_7811" (@ho-elim-sort (-> tptp.a Bool)))) % 150.63/150.99 (define @t77 () (@const 0 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 150.63/150.99 (define @t78 () (@var "BOUND_VARIABLE_7818" (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 150.63/150.99 (define @t79 () (@const 1 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 150.63/150.99 (define @t80 () (not (_ @t77 (_ @t79 @t78 @t6) @t4))) % 150.63/150.99 (define @t81 () (@var "BOUND_VARIABLE_7824" (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 150.63/150.99 (define @t82 () (not (_ @t77 (_ @t79 @t81 @t6) @t4))) % 150.63/150.99 (define @t83 () (and @t82 @t80)) % 150.63/150.99 (define @t84 () (and (not (_ @t77 (_ @t79 @t81 @t18) @t16)) (not (_ @t77 (_ @t79 @t78 @t18) @t16)))) % 150.63/150.99 (define @t85 () (@var "BOUND_VARIABLE_7847" (@ho-elim-sort (-> tptp.a Bool)))) % 150.63/150.99 (define @t86 () (_ @t77 @t85 @t4)) % 150.63/150.99 (define @t87 () (not (_ @t77 @t85 @t6))) % 150.63/150.99 (define @t88 () (not (forall @t14 (or @t87 @t83 @t86)))) % 150.63/150.99 (define @t89 () (_ @t77 @t85 @t16)) % 150.63/150.99 (define @t90 () (@list @t85)) % 150.63/150.99 (define @t91 () (@var "BOUND_VARIABLE_7762" tptp.a)) % 150.63/150.99 (define @t92 () (@var "BOUND_VARIABLE_7864" (@ho-elim-sort (-> tptp.a Bool)))) % 150.63/150.99 (define @t93 () (@var "BOUND_VARIABLE_7758" tptp.a)) % 150.63/150.99 (define @t94 () (and (not (_ @t77 (_ @t79 @t81 @t93) @t16)) (not (_ @t77 (_ @t79 @t78 @t93) @t16)))) % 150.63/150.99 (define @t95 () (@var "BOUND_VARIABLE_7760" tptp.a)) % 150.63/150.99 (define @t96 () (@var "BOUND_VARIABLE_7723" tptp.a)) % 150.63/150.99 (define @t97 () (@var "BOUND_VARIABLE_7919" (@ho-elim-sort (-> tptp.a Bool)))) % 150.63/150.99 (define @t98 () (@var "BOUND_VARIABLE_7721" tptp.a)) % 150.63/150.99 (define @t99 () (not (_ @t77 (_ @t79 @t78 @t98) @t16))) % 150.63/150.99 (define @t100 () (not (_ @t77 (_ @t79 @t81 @t98) @t16))) % 150.63/150.99 (define @t101 () (_ @t77 @t85 @t96)) % 150.63/150.99 (define @t102 () (forall (@list @t81 @t78 @t18 @t1 @t76 @t98 @t96 @t97 @t93 @t95 @t91 @t92) (or (and (or (and (not (forall @t90 (or (not (forall @t22 (or @t100 @t89))) (not (forall @t14 (or @t87 @t82 @t86))) @t101))) (not (forall @t90 (or (not (forall @t22 (or @t99 @t89))) (not (forall @t14 (or @t87 @t80 @t86))) @t101)))) (not (forall @t22 (or (and @t100 @t99) (_ @t77 @t97 @t16)))) (not (forall @t14 (or (not (_ @t77 @t97 @t6)) @t83 (_ @t77 @t97 @t4)))) (_ @t77 @t97 @t96)) (or (not (forall @t90 (or (not (forall @t22 (or @t94 @t89))) @t88 (_ @t77 @t85 @t95)))) (not (forall @t90 (or (not (forall @t22 (or (and (not (_ @t77 (_ @t79 @t81 @t95) @t16)) (not (_ @t77 (_ @t79 @t78 @t95) @t16))) @t89))) @t88 (_ @t77 @t85 @t91)))) (not (forall @t22 (or @t94 (_ @t77 @t92 @t16)))) (not (forall @t14 (or (not (_ @t77 @t92 @t6)) @t83 (_ @t77 @t92 @t4)))) (_ @t77 @t92 @t91)) (not (forall @t90 (or (not (forall @t22 (or @t84 @t89))) @t88 (_ @t77 @t85 @t1))))) (not (forall @t22 (or @t84 (_ @t77 @t76 @t16)))) (not (forall @t14 (or (not (_ @t77 @t76 @t6)) @t83 (_ @t77 @t76 @t4)))) (_ @t77 @t76 @t1)))) % 150.63/150.99 (define @t103 () (@quantifiers_skolemize @t102 9)) % 150.63/150.99 (define @t104 () (@quantifiers_skolemize @t102 1)) % 150.63/150.99 (define @t105 () (not (_ @t77 (_ @t79 @t104 @t6) @t4))) % 150.63/150.99 (define @t106 () (@quantifiers_skolemize @t102 0)) % 150.63/150.99 (define @t107 () (not (_ @t77 (_ @t79 @t106 @t6) @t4))) % 150.63/150.99 (define @t108 () (and @t107 @t105)) % 150.63/150.99 (define @t109 () (not (forall @t14 (or @t87 @t108 @t86)))) % 150.63/150.99 (define @t110 () (@quantifiers_skolemize @t102 8)) % 150.63/150.99 (define @t111 () (and (not (_ @t77 (_ @t79 @t106 @t110) @t16)) (not (_ @t77 (_ @t79 @t104 @t110) @t16)))) % 150.63/150.99 (define @t112 () (forall @t90 (or (not (forall @t22 (or @t111 @t89))) @t109 (_ @t77 @t85 @t103)))) % 150.63/150.99 (define @t113 () (@quantifiers_skolemize @t102 10)) % 150.63/150.99 (define @t114 () (@quantifiers_skolemize @t102 11)) % 150.63/150.99 (define @t115 () (_ @t77 @t114 @t113)) % 150.63/150.99 (define @t116 () (forall @t14 (or (not (_ @t77 @t114 @t6)) @t108 (_ @t77 @t114 @t4)))) % 150.63/150.99 (define @t117 () (not @t116)) % 150.63/150.99 (define @t118 () (_ @t77 @t114 @t16)) % 150.63/150.99 (define @t119 () (forall @t22 (or @t111 @t118))) % 150.63/150.99 (define @t120 () (not @t119)) % 150.63/150.99 (define @t121 () (_ @t79 @t104 @t103)) % 150.63/150.99 (define @t122 () (_ @t79 @t106 @t103)) % 150.63/150.99 (define @t123 () (and (not (_ @t77 @t122 @t16)) (not (_ @t77 @t121 @t16)))) % 150.63/150.99 (define @t124 () (forall @t90 (or (not (forall @t22 (or @t123 @t89))) @t109 (_ @t77 @t85 @t113)))) % 150.63/150.99 (define @t125 () (not @t124)) % 150.63/150.99 (define @t126 () (not @t112)) % 150.63/150.99 (define @t127 () (or @t126 @t125 @t120 @t117 @t115)) % 150.63/150.99 (define @t128 () (@list @t114)) % 150.63/150.99 (define @t129 () (_ @t77 @t114 @t103)) % 150.63/150.99 (define @t130 () (or @t120 @t117 @t129)) % 150.63/150.99 (define @t131 () (forall @t22 (or @t123 @t118))) % 150.63/150.99 (define @t132 () (not @t131)) % 150.63/150.99 (define @t133 () (or @t132 @t117 @t115)) % 150.63/150.99 (define @t134 () (@quantifiers_skolemize @t131 0)) % 150.63/150.99 (define @t135 () (_ @t77 @t114 @t134)) % 150.63/150.99 (define @t136 () (and (not (_ @t77 @t122 @t134)) (not (_ @t77 @t121 @t134)))) % 150.63/150.99 (define @t137 () (not @t129)) % 150.63/150.99 (define @t138 () (or @t137 @t136 @t135)) % 150.63/150.99 (define @t139 () (or @t136 @t135)) % 150.63/150.99 (define @t140 () (not @t138)) % 150.63/150.99 (define @t141 () (@list true true)) % 150.63/150.99 (define @t142 () (not @t139)) % 150.63/150.99 (define @t143 () (@var "BOUND_VARIABLE_7707" (-> tptp.a Bool))) % 150.63/150.99 (define @t144 () (_ @t143 @t1)) % 150.63/150.99 (define @t145 () (_ @t7 @t6 @t4)) % 150.63/150.99 (define @t146 () (not @t145)) % 150.63/150.99 (define @t147 () (_ @t9 @t6 @t4)) % 150.63/150.99 (define @t148 () (not @t147)) % 150.63/150.99 (define @t149 () (and @t148 @t146)) % 150.63/150.99 (define @t150 () (not (forall @t14 (or (not (_ @t143 @t6)) @t149 (_ @t143 @t4))))) % 150.63/150.99 (define @t151 () (_ @t7 @t18 @t16)) % 150.63/150.99 (define @t152 () (_ @t9 @t18 @t16)) % 150.63/150.99 (define @t153 () (and (not @t152) (not @t151))) % 150.63/150.99 (define @t154 () (not (forall @t22 (or @t153 (_ @t143 @t16))))) % 150.63/150.99 (define @t155 () (_ @t2 @t1)) % 150.63/150.99 (define @t156 () (_ @t2 @t4)) % 150.63/150.99 (define @t157 () (_ @t2 @t6)) % 150.63/150.99 (define @t158 () (not @t157)) % 150.63/150.99 (define @t159 () (forall @t14 (or @t158 @t149 @t156))) % 150.63/150.99 (define @t160 () (not @t159)) % 150.63/150.99 (define @t161 () (_ @t2 @t16)) % 150.63/150.99 (define @t162 () (forall @t22 (or @t153 @t161))) % 150.63/150.99 (define @t163 () (not @t162)) % 150.63/150.99 (define @t164 () (forall @t26 (or @t163 @t160 @t155))) % 150.63/150.99 (define @t165 () (not @t164)) % 150.63/150.99 (define @t166 () (@var "BOUND_VARIABLE_7764" (-> tptp.a Bool))) % 150.63/150.99 (define @t167 () (and (not (_ @t9 @t93 @t16)) (not (_ @t7 @t93 @t16)))) % 150.63/150.99 (define @t168 () (or (not (forall @t26 (or (not (forall @t22 (or @t167 @t161))) @t160 (_ @t2 @t95)))) (not (forall @t26 (or (not (forall @t22 (or (and (not (_ @t9 @t95 @t16)) (not (_ @t7 @t95 @t16))) @t161))) @t160 (_ @t2 @t91)))) (not (forall @t22 (or @t167 (_ @t166 @t16)))) (not (forall @t14 (or (not (_ @t166 @t6)) @t149 (_ @t166 @t4)))) (_ @t166 @t91))) % 150.63/150.99 (define @t169 () (@var "BOUND_VARIABLE_7725" (-> tptp.a Bool))) % 150.63/150.99 (define @t170 () (not (_ @t7 @t98 @t16))) % 150.63/150.99 (define @t171 () (not (_ @t9 @t98 @t16))) % 150.63/150.99 (define @t172 () (_ @t2 @t96)) % 150.63/150.99 (define @t173 () (forall @t14 (or @t158 @t146 @t156))) % 150.63/150.99 (define @t174 () (not @t173)) % 150.63/150.99 (define @t175 () (forall @t14 (or @t158 @t148 @t156))) % 150.63/150.99 (define @t176 () (not @t175)) % 150.63/150.99 (define @t177 () (or (and (not (forall @t26 (or (not (forall @t22 (or @t171 @t161))) @t176 @t172))) (not (forall @t26 (or (not (forall @t22 (or @t170 @t161))) @t174 @t172)))) (not (forall @t22 (or (and @t171 @t170) (_ @t169 @t16)))) (not (forall @t14 (or (not (_ @t169 @t6)) @t149 (_ @t169 @t4)))) (_ @t169 @t96))) % 150.63/150.99 (define @t178 () (and @t177 @t168 @t165)) % 150.63/150.99 (define @t179 () (or @t178 @t154 @t150 @t144)) % 150.63/150.99 (define @t180 () (@list @t9 @t7 @t18 @t1 @t143 @t98 @t96 @t169 @t93 @t95 @t91 @t166)) % 150.63/150.99 (define @t181 () (or @t154 @t150 @t144)) % 150.63/150.99 (define @t182 () (or @t181 @t178)) % 150.63/150.99 (define @t183 () (forall @t180 @t182)) % 150.63/150.99 (define @t184 () (forall (@list @t143 @t98 @t96 @t169 @t93 @t95 @t91 @t166) @t182)) % 150.63/150.99 (define @t185 () (@list @t98 @t96 @t169 @t93 @t95 @t91 @t166)) % 150.63/150.99 (define @t186 () (forall @t185 @t165)) % 150.63/150.99 (define @t187 () (forall (@list @t93 @t95 @t91 @t166) @t168)) % 150.63/150.99 (define @t188 () (@var "BOUND_VARIABLE_7679" (-> tptp.a Bool))) % 150.63/150.99 (define @t189 () (forall @t185 @t168)) % 150.63/150.99 (define @t190 () (forall (@list @t98 @t96 @t169) @t177)) % 150.63/150.99 (define @t191 () (@var "BOUND_VARIABLE_7621" (-> tptp.a Bool))) % 150.63/150.99 (define @t192 () (forall @t185 @t177)) % 150.63/150.99 (define @t193 () (and @t192 @t189 @t186)) % 150.63/150.99 (define @t194 () (forall @t185 @t178)) % 150.63/150.99 (define @t195 () (forall (@list @t143) @t181)) % 150.63/150.99 (define @t196 () (@list @t2)) % 150.63/150.99 (define @t197 () (or @t195 @t194)) % 150.63/150.99 (define @t198 () (_ @t188 @t28)) % 150.63/150.99 (define @t199 () (not (forall @t14 (or (not (_ @t188 @t6)) @t149 (_ @t188 @t4))))) % 150.63/150.99 (define @t200 () (_ @t7 @t30 @t16)) % 150.63/150.99 (define @t201 () (not @t200)) % 150.63/150.99 (define @t202 () (_ @t9 @t30 @t16)) % 150.63/150.99 (define @t203 () (not @t202)) % 150.63/150.99 (define @t204 () (and @t203 @t201)) % 150.63/150.99 (define @t205 () (not (forall @t22 (or @t204 (_ @t188 @t16))))) % 150.63/150.99 (define @t206 () (_ @t2 @t28)) % 150.63/150.99 (define @t207 () (_ @t7 @t38 @t16)) % 150.63/150.99 (define @t208 () (_ @t9 @t38 @t16)) % 150.63/150.99 (define @t209 () (forall @t22 (or (and (not @t208) (not @t207)) @t161))) % 150.63/150.99 (define @t210 () (not @t209)) % 150.63/150.99 (define @t211 () (forall @t26 (or @t210 @t160 @t206))) % 150.63/150.99 (define @t212 () (not @t211)) % 150.63/150.99 (define @t213 () (_ @t2 @t38)) % 150.63/150.99 (define @t214 () (forall @t22 (or @t204 @t161))) % 150.63/150.99 (define @t215 () (not @t214)) % 150.63/150.99 (define @t216 () (forall @t26 (or @t215 @t160 @t213))) % 150.63/150.99 (define @t217 () (not @t216)) % 150.63/150.99 (define @t218 () (or @t217 @t212 @t205 @t199 @t198)) % 150.63/150.99 (define @t219 () (@list @t30 @t38 @t28 @t188)) % 150.63/150.99 (define @t220 () (forall @t219 @t218)) % 150.63/150.99 (define @t221 () (_ @t191 @t38)) % 150.63/150.99 (define @t222 () (not (forall @t14 (or (not (_ @t191 @t6)) @t149 (_ @t191 @t4))))) % 150.63/150.99 (define @t223 () (not (forall @t22 (or @t204 (_ @t191 @t16))))) % 150.63/150.99 (define @t224 () (forall @t22 (or @t201 @t161))) % 150.63/150.99 (define @t225 () (not @t224)) % 150.63/150.99 (define @t226 () (forall @t26 (or @t225 @t174 @t213))) % 150.63/150.99 (define @t227 () (forall @t22 (or @t203 @t161))) % 150.63/150.99 (define @t228 () (not @t227)) % 150.63/150.99 (define @t229 () (forall @t26 (or @t228 @t176 @t213))) % 150.63/150.99 (define @t230 () (and (not @t229) (not @t226))) % 150.63/150.99 (define @t231 () (or @t230 @t223 @t222 @t221)) % 150.63/150.99 (define @t232 () (@list @t30 @t38 @t191)) % 150.63/150.99 (define @t233 () (forall @t232 @t231)) % 150.63/150.99 (define @t234 () (and @t233 @t220 @t165)) % 150.63/150.99 (define @t235 () (and @t233 @t220)) % 150.63/150.99 (define @t236 () (or @t164 (not (=> @t235 @t164)))) % 150.63/150.99 (define @t237 () (or @t163 @t160 @t3)) % 150.63/150.99 (define @t238 () (and @t162 @t159)) % 150.63/150.99 (define @t239 () (not @t8)) % 150.63/150.99 (define @t240 () (not @t10)) % 150.63/150.99 (define @t241 () (and @t240 @t239)) % 150.63/150.99 (define @t242 () (not @t12)) % 150.63/150.99 (define @t243 () (or @t242 @t241 @t5)) % 150.63/150.99 (define @t244 () (not @t19)) % 150.63/150.99 (define @t245 () (not @t20)) % 150.63/150.99 (define @t246 () (and @t245 @t244)) % 150.63/150.99 (define @t247 () (or @t246 @t17)) % 150.63/150.99 (define @t248 () (or @t205 @t199 @t198)) % 150.63/150.99 (define @t249 () (or @t217 @t212 @t248)) % 150.63/150.99 (define @t250 () (forall @t219 @t249)) % 150.63/150.99 (define @t251 () (@list @t188)) % 150.63/150.99 (define @t252 () (forall @t251 @t249)) % 150.63/150.99 (define @t253 () (forall @t251 @t248)) % 150.63/150.99 (define @t254 () (or @t217 @t212 @t253)) % 150.63/150.99 (define @t255 () (forall @t26 (or @t215 @t160 @t206))) % 150.63/150.99 (define @t256 () (or @t217 @t212 @t255)) % 150.63/150.99 (define @t257 () (and @t216 @t211)) % 150.63/150.99 (define @t258 () (or @t215 @t160 @t29)) % 150.63/150.99 (define @t259 () (or @t215 @t160)) % 150.63/150.99 (define @t260 () (and @t214 @t159)) % 150.63/150.99 (define @t261 () (not @t260)) % 150.63/150.99 (define @t262 () (not @t31)) % 150.63/150.99 (define @t263 () (not @t32)) % 150.63/150.99 (define @t264 () (and @t263 @t262)) % 150.63/150.99 (define @t265 () (or @t264 @t17)) % 150.63/150.99 (define @t266 () (or @t210 @t160 @t29)) % 150.63/150.99 (define @t267 () (and @t209 @t159)) % 150.63/150.99 (define @t268 () (not @t39)) % 150.63/150.99 (define @t269 () (not @t40)) % 150.63/150.99 (define @t270 () (and @t269 @t268)) % 150.63/150.99 (define @t271 () (or @t270 @t17)) % 150.63/150.99 (define @t272 () (or @t215 @t160 @t46)) % 150.63/150.99 (define @t273 () (or @t223 @t222 @t221)) % 150.63/150.99 (define @t274 () (or @t230 @t273)) % 150.63/150.99 (define @t275 () (forall @t232 @t274)) % 150.63/150.99 (define @t276 () (@list @t191)) % 150.63/150.99 (define @t277 () (forall @t276 @t274)) % 150.63/150.99 (define @t278 () (forall @t276 @t273)) % 150.63/150.99 (define @t279 () (or @t230 @t278)) % 150.63/150.99 (define @t280 () (or @t229 @t226)) % 150.63/150.99 (define @t281 () (or @t225 @t174 @t46)) % 150.63/150.99 (define @t282 () (and @t224 @t173)) % 150.63/150.99 (define @t283 () (or @t242 @t239 @t5)) % 150.63/150.99 (define @t284 () (or @t262 @t17)) % 150.63/150.99 (define @t285 () (or @t228 @t176 @t46)) % 150.63/150.99 (define @t286 () (and @t227 @t175)) % 150.63/150.99 (define @t287 () (or @t242 @t240 @t5)) % 150.63/150.99 (define @t288 () (or @t263 @t17)) % 150.63/150.99 (define @t289 () (@quantifiers_skolemize @t102 3)) % 150.63/150.99 (define @t290 () (@quantifiers_skolemize @t102 4)) % 150.63/150.99 (define @t291 () (_ @t77 @t290 @t289)) % 150.63/150.99 (define @t292 () (forall @t14 (or (not (_ @t77 @t290 @t6)) @t108 (_ @t77 @t290 @t4)))) % 150.63/150.99 (define @t293 () (not @t292)) % 150.63/150.99 (define @t294 () (@quantifiers_skolemize @t102 2)) % 150.63/150.99 (define @t295 () (and (not (_ @t77 (_ @t79 @t106 @t294) @t16)) (not (_ @t77 (_ @t79 @t104 @t294) @t16)))) % 150.63/150.99 (define @t296 () (forall @t22 (or @t295 (_ @t77 @t290 @t16)))) % 150.63/150.99 (define @t297 () (not @t296)) % 150.63/150.99 (define @t298 () (forall @t90 (or (not (forall @t22 (or @t295 @t89))) @t109 (_ @t77 @t85 @t289)))) % 150.63/150.99 (define @t299 () (not @t298)) % 150.63/150.99 (define @t300 () (@quantifiers_skolemize @t102 6)) % 150.63/150.99 (define @t301 () (@quantifiers_skolemize @t102 7)) % 150.63/150.99 (define @t302 () (_ @t77 @t301 @t300)) % 150.63/150.99 (define @t303 () (_ @t77 @t301 @t4)) % 150.63/150.99 (define @t304 () (not (_ @t77 @t301 @t6))) % 150.63/150.99 (define @t305 () (forall @t14 (or @t304 @t108 @t303))) % 150.63/150.99 (define @t306 () (not @t305)) % 150.63/150.99 (define @t307 () (_ @t77 @t301 @t16)) % 150.63/150.99 (define @t308 () (@quantifiers_skolemize @t102 5)) % 150.63/150.99 (define @t309 () (_ @t79 @t104 @t308)) % 150.63/150.99 (define @t310 () (not (_ @t77 @t309 @t16))) % 150.63/150.99 (define @t311 () (_ @t79 @t106 @t308)) % 150.63/150.99 (define @t312 () (not (_ @t77 @t311 @t16))) % 150.63/150.99 (define @t313 () (forall @t22 (or (and @t312 @t310) @t307))) % 150.63/150.99 (define @t314 () (not @t313)) % 150.63/150.99 (define @t315 () (_ @t77 @t85 @t300)) % 150.63/150.99 (define @t316 () (forall @t90 (or (not (forall @t22 (or @t310 @t89))) (not (forall @t14 (or @t87 @t105 @t86))) @t315))) % 150.63/150.99 (define @t317 () (not @t316)) % 150.63/150.99 (define @t318 () (forall @t90 (or (not (forall @t22 (or @t312 @t89))) (not (forall @t14 (or @t87 @t107 @t86))) @t315))) % 150.63/150.99 (define @t319 () (not @t318)) % 150.63/150.99 (define @t320 () (and @t319 @t317)) % 150.63/150.99 (define @t321 () (or @t320 @t314 @t306 @t302)) % 150.63/150.99 (define @t322 () (and @t321 @t127 @t299)) % 150.63/150.99 (define @t323 () (or @t322 @t297 @t293 @t291)) % 150.63/150.99 (define @t324 () (@list true)) % 150.63/150.99 (define @t325 () (@list @t323)) % 150.63/150.99 (define @t326 () (or @t297 @t293 @t291)) % 150.63/150.99 (define @t327 () (not @t326)) % 150.63/150.99 (define @t328 () (not @t127)) % 150.63/150.99 (define @t329 () (not @t321)) % 150.63/150.99 (define @t330 () (@list true true false)) % 150.63/150.99 (define @t331 () (@list @t321)) % 150.63/150.99 (define @t332 () (forall @t14 (or @t304 @t107 @t303))) % 150.63/150.99 (define @t333 () (@quantifiers_skolemize @t332 1)) % 150.63/150.99 (define @t334 () (@quantifiers_skolemize @t332 0)) % 150.63/150.99 (define @t335 () (_ @t77 @t301 @t333)) % 150.63/150.99 (define @t336 () (_ @t77 (_ @t79 @t106 @t334) @t333)) % 150.63/150.99 (define @t337 () (not @t336)) % 150.63/150.99 (define @t338 () (and @t337 (not (_ @t77 (_ @t79 @t104 @t334) @t333)))) % 150.63/150.99 (define @t339 () (_ @t77 @t301 @t334)) % 150.63/150.99 (define @t340 () (not @t339)) % 150.63/150.99 (define @t341 () (or @t340 @t338 @t335)) % 150.63/150.99 (define @t342 () (@list false)) % 150.63/150.99 (define @t343 () (@list @t305)) % 150.63/150.99 (define @t344 () (or @t340 @t337 @t335)) % 150.63/150.99 (define @t345 () (not @t341)) % 150.63/150.99 (define @t346 () (not @t344)) % 150.63/150.99 (define @t347 () (not @t332)) % 150.63/150.99 (define @t348 () (forall @t22 (or @t312 @t307))) % 150.63/150.99 (define @t349 () (@quantifiers_skolemize @t348 0)) % 150.63/150.99 (define @t350 () (_ @t77 @t301 @t349)) % 150.63/150.99 (define @t351 () (_ @t77 @t311 @t349)) % 150.63/150.99 (define @t352 () (not @t351)) % 150.63/150.99 (define @t353 () (and @t352 (not (_ @t77 @t309 @t349)))) % 150.63/150.99 (define @t354 () (or @t353 @t350)) % 150.63/150.99 (define @t355 () (@list @t313)) % 150.63/150.99 (define @t356 () (or @t352 @t350)) % 150.63/150.99 (define @t357 () (not @t354)) % 150.63/150.99 (define @t358 () (not @t356)) % 150.63/150.99 (define @t359 () (not @t348)) % 150.63/150.99 (define @t360 () (or @t359 @t347 @t302)) % 150.63/150.99 (define @t361 () (not @t360)) % 150.63/150.99 (define @t362 () (@list true false false)) % 150.63/150.99 (define @t363 () (@list @t301)) % 150.63/150.99 (define @t364 () (forall @t14 (or @t304 @t105 @t303))) % 150.63/150.99 (define @t365 () (not @t364)) % 150.63/150.99 (define @t366 () (forall @t22 (or @t310 @t307))) % 150.63/150.99 (define @t367 () (not @t366)) % 150.63/150.99 (define @t368 () (or @t367 @t365 @t302)) % 150.63/150.99 (define @t369 () (@quantifiers_skolemize @t366 0)) % 150.63/150.99 (define @t370 () (_ @t77 @t309 @t369)) % 150.63/150.99 (define @t371 () (_ @t77 @t301 @t369)) % 150.63/150.99 (define @t372 () (not @t370)) % 150.63/150.99 (define @t373 () (or @t372 @t371)) % 150.63/150.99 (define @t374 () (and (not (_ @t77 @t311 @t369)) @t372)) % 150.63/150.99 (define @t375 () (or @t374 @t371)) % 150.63/150.99 (define @t376 () (@list false true true false)) % 150.63/150.99 (define @t377 () (not @t373)) % 150.63/150.99 (define @t378 () (@quantifiers_skolemize @t364 1)) % 150.63/150.99 (define @t379 () (_ @t77 @t301 @t378)) % 150.63/150.99 (define @t380 () (@quantifiers_skolemize @t364 0)) % 150.63/150.99 (define @t381 () (_ @t77 (_ @t79 @t104 @t380) @t378)) % 150.63/150.99 (define @t382 () (not @t381)) % 150.63/150.99 (define @t383 () (_ @t77 @t301 @t380)) % 150.63/150.99 (define @t384 () (not @t383)) % 150.63/150.99 (define @t385 () (or @t384 @t382 @t379)) % 150.63/150.99 (define @t386 () (not @t385)) % 150.63/150.99 (define @t387 () (@list @t385)) % 150.63/150.99 (define @t388 () (and (not (_ @t77 (_ @t79 @t106 @t380) @t378)) @t382)) % 150.63/150.99 (define @t389 () (not @t388)) % 150.63/150.99 (define @t390 () (or @t384 @t388 @t379)) % 150.63/150.99 (assume @p1 @t75) % 150.63/150.99 (assume @p2 true) % 150.63/150.99 (step @p3 :rule bool-double-not-elim :args (@t112)) % 150.63/150.99 (step @p4 :rule refl :args (@t127)) % 150.63/150.99 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t127 (not @t126)))) % 150.63/150.99 (step @p6 :rule cnf_or_neg :args (@t127 0)) % 150.63/150.99 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 150.63/150.99 (step @p8 :rule reordering :premises (@p7) :args ((or @t112 @t127))) % 150.63/150.99 (step @p9 :rule bool-double-not-elim :args (@t124)) % 150.63/150.99 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t127 (not @t125)))) % 150.63/150.99 (step @p11 :rule cnf_or_neg :args (@t127 1)) % 150.63/150.99 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 150.63/150.99 (step @p13 :rule reordering :premises (@p12) :args ((or @t124 @t127))) % 150.63/150.99 (step @p14 :rule bool-double-not-elim :args (@t119)) % 150.63/150.99 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t127 (not @t120)))) % 150.63/150.99 (step @p16 :rule cnf_or_neg :args (@t127 2)) % 150.63/150.99 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 150.63/150.99 (step @p18 :rule reordering :premises (@p17) :args ((or @t119 @t127))) % 150.63/150.99 (step @p19 :rule bool-double-not-elim :args (@t116)) % 150.63/150.99 (step @p20 :rule nary_cong :premises (@p4 @p19) :args ((or @t127 (not @t117)))) % 150.63/150.99 (step @p21 :rule cnf_or_neg :args (@t127 3)) % 150.63/150.99 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 150.63/150.99 (step @p23 :rule reordering :premises (@p22) :args ((or @t116 @t127))) % 150.63/150.99 (step @p24 :rule cnf_or_neg :args (@t127 4)) % 150.63/150.99 (assume-push @p597 @t112) % 150.63/150.99 (step @p26 :rule instantiate :premises (@p597) :args (@t128)) % 150.63/150.99 (step-pop @p598 :rule scope :premises (@p26)) % 150.63/150.99 (step @p27 :rule process_scope :premises (@p598) :args (@t130)) % 150.63/150.99 (step @p29 :rule implies_elim :premises (@p27)) % 150.63/150.99 (assume-push @p599 @t124) % 150.63/150.99 (step @p31 :rule instantiate :premises (@p599) :args (@t128)) % 150.63/150.99 (step-pop @p600 :rule scope :premises (@p31)) % 150.63/150.99 (step @p32 :rule process_scope :premises (@p600) :args (@t133)) % 150.63/150.99 (step @p34 :rule implies_elim :premises (@p32)) % 150.63/150.99 (assume-push @p601 @t116) % 150.63/150.99 (step @p36 :rule instantiate :premises (@p601) :args ((@list @t103 @t134))) % 150.63/150.99 (step-pop @p602 :rule scope :premises (@p36)) % 150.63/150.99 (step @p37 :rule process_scope :premises (@p602) :args (@t138)) % 150.63/150.99 (step @p39 :rule implies_elim :premises (@p37)) % 150.63/150.99 (step @p40 :rule cnf_or_pos :args (@t130)) % 150.63/150.99 (step @p41 :rule reordering :premises (@p40) :args ((or @t120 @t117 @t129 (not @t130)))) % 150.63/150.99 (step @p42 :rule cnf_or_pos :args (@t133)) % 150.63/150.99 (step @p43 :rule reordering :premises (@p42) :args ((or @t117 @t115 @t132 (not @t133)))) % 150.63/150.99 (step @p44 :rule cnf_or_neg :args (@t139 0)) % 150.63/150.99 (step @p45 :rule cnf_or_neg :args (@t139 1)) % 150.63/150.99 (step @p46 :rule cnf_or_pos :args (@t138)) % 150.63/150.99 (step @p47 :rule reordering :premises (@p46) :args ((or @t136 @t135 @t137 @t140))) % 150.63/150.99 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44) :args ((or @t139 @t137 @t140) @t141 (@list @t135 @t136))) % 150.63/150.99 (step @p49 :rule refl :args (@t142)) % 150.63/150.99 (step @p50 :rule bool-double-not-elim :args (@t131)) % 150.63/150.99 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or (not @t132) @t142))) % 150.63/150.99 (assume-push @p603 @t132) % 150.63/150.99 (step @p53 :rule skolemize :premises (@p603)) % 150.63/150.99 (step-pop @p604 :rule scope :premises (@p53)) % 150.63/150.99 (step @p54 :rule process_scope :premises (@p604) :args (@t142)) % 150.63/150.99 (step @p56 :rule implies_elim :premises (@p54)) % 150.63/150.99 (step @p57 :rule eq_resolve :premises (@p56 @p51)) % 150.63/150.99 (step @p58 :rule chain_m_resolution :premises (@p57 @p48 @p43 @p41 @p39 @p34 @p29 @p24 @p23 @p18 @p13 @p8) :args (@t127 (@list false true false false false false true false false false false) (@list @t139 @t131 @t129 @t138 @t133 @t130 @t115 @t116 @t119 @t124 @t112))) % 150.63/150.99 ; WARNING: add trust step for TRUST % 150.63/150.99 ; trust TRUST PREPROCESS_HO_ELIM % 150.63/150.99 (step @p59 :rule trust :premises () :args ((= (not (forall @t180 @t179)) (not @t102)))) % 150.63/150.99 (step @p60 :rule aci_norm :args ((= @t182 @t179))) % 150.63/150.99 (step @p61 :rule cong :premises (@p60) :args (@t183)) % 150.63/150.99 (step @p62 :rule quant-merge-prenex :args ((= (forall @t73 @t184) @t183))) % 150.63/150.99 (step @p63 :rule quant-unused-vars :args ((= @t186 @t165))) % 150.63/150.99 (step @p64 :rule alpha_equiv :args (@t187 (@list @t93 @t95 @t91 @t166) (@list @t30 @t38 @t28 @t188))) % 150.63/150.99 (step @p65 :rule quant-unused-vars :args ((= @t189 @t187))) % 150.63/150.99 (step @p66 :rule trans :premises (@p65 @p64)) % 150.63/150.99 (step @p67 :rule alpha_equiv :args (@t190 (@list @t98 @t96 @t169) (@list @t30 @t38 @t191))) % 150.63/150.99 (step @p68 :rule quant-unused-vars :args ((= @t192 @t190))) % 150.63/150.99 (step @p69 :rule trans :premises (@p68 @p67)) % 150.63/150.99 (step @p70 :rule nary_cong :premises (@p69 @p66 @p63) :args (@t193)) % 150.63/150.99 (step @p71 :rule quant-miniscope-and :args ((= @t194 @t193))) % 150.63/150.99 (step @p72 :rule trans :premises (@p71 @p70)) % 150.63/150.99 (step @p73 :rule alpha_equiv :args (@t195 (@list @t143) @t196)) % 150.63/150.99 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t197)) % 150.63/150.99 (step @p75 :rule quant-miniscope-or :args ((= @t184 @t197))) % 150.63/150.99 (step @p76 :rule trans :premises (@p75 @p74)) % 150.63/150.99 (step @p77 :rule symm :premises (@p76)) % 150.63/150.99 (step @p78 :rule cong :premises (@p77) :args ((forall @t73 (or @t164 @t234)))) % 150.63/150.99 (step @p79 :rule trans :premises (@p78 @p62)) % 150.63/150.99 (step @p80 :rule trans :premises (@p79 @p61)) % 150.63/150.99 (step @p81 :rule aci_norm :args ((= (and @t235 @t165) @t234))) % 150.63/150.99 (step @p82 :rule bool-implies-de-morgan :args (@t235 @t164)) % 150.63/150.99 (step @p83 :rule trans :premises (@p82 @p81)) % 150.63/150.99 (step @p84 :rule refl :args (@t164)) % 150.63/150.99 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t236)) % 150.63/150.99 (step @p86 :rule cong :premises (@p85) :args ((forall @t73 @t236))) % 150.63/150.99 (step @p87 :rule trans :premises (@p86 @p80)) % 150.63/150.99 (step @p88 :rule refl :args (@t155)) % 150.63/150.99 (step @p89 :rule refl :args (@t3)) % 150.63/150.99 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t3 @t155))) % 150.63/150.99 (step @p91 :rule symm :premises (@p90)) % 150.63/150.99 (step @p92 :rule 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% 150.63/151.00 (step @p519 :rule cnf_and_neg :args (@t320)) % 150.63/151.00 (step @p520 :rule eq_resolve :premises (@p519 @p518)) % 150.63/151.00 (step @p521 :rule reordering :premises (@p520) :args ((or @t318 @t316 @t320))) % 150.63/151.00 (step @p522 :rule chain_m_resolution :premises (@p521 @p514 @p427) :args (@t316 @t141 (@list @t318 @t320))) % 150.63/151.00 (assume-push @p617 @t316) % 150.63/151.00 (step @p524 :rule instantiate :premises (@p617) :args (@t363)) % 150.63/151.00 (step-pop @p618 :rule scope :premises (@p524)) % 150.63/151.00 (step @p525 :rule process_scope :premises (@p618) :args (@t368)) % 150.63/151.00 (step @p527 :rule implies_elim :premises (@p525)) % 150.63/151.00 (step @p528 :rule chain_m_resolution :premises (@p527 @p522) :args (@t368 @t342 (@list @t316))) % 150.63/151.00 (step @p529 :rule bool-double-not-elim :args (@t370)) % 150.63/151.00 (step @p530 :rule refl :args (@t373)) % 150.63/151.00 (step @p531 :rule nary_cong :premises (@p530 @p529) :args ((or @t373 (not @t372)))) % 150.63/151.00 (step @p532 :rule cnf_or_neg :args (@t373 0)) % 150.63/151.00 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 150.63/151.00 (step @p534 :rule reordering :premises (@p533) :args ((or @t370 @t373))) % 150.63/151.00 (step @p535 :rule cnf_or_neg :args (@t373 1)) % 150.63/151.00 (step @p536 :rule cnf_and_pos :args (@t374 1)) % 150.63/151.00 (step @p537 :rule reordering :premises (@p536) :args ((or @t372 (not @t374)))) % 150.63/151.00 (assume-push @p619 @t313) % 150.63/151.00 (step @p539 :rule instantiate :premises (@p619) :args ((@list @t369))) % 150.63/151.00 (step-pop @p620 :rule scope :premises (@p539)) % 150.63/151.00 (step @p540 :rule process_scope :premises (@p620) :args (@t375)) % 150.63/151.00 (step @p542 :rule implies_elim :premises (@p540)) % 150.63/151.00 (step @p543 :rule chain_m_resolution :premises (@p542 @p474) :args (@t375 @t342 @t355)) % 150.63/151.00 (step @p544 :rule cnf_or_pos :args (@t375)) % 150.63/151.00 (step @p545 :rule reordering :premises (@p544) :args ((or @t371 @t374 (not @t375)))) % 150.63/151.00 (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p537 @p535 @p534) :args (@t373 @t376 (@list @t375 @t374 @t371 @t370))) % 150.63/151.00 (step @p547 :rule refl :args (@t377)) % 150.63/151.00 (step @p548 :rule bool-double-not-elim :args (@t366)) % 150.63/151.00 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or (not @t367) @t377))) % 150.63/151.00 (assume-push @p621 @t367) % 150.63/151.00 (step @p551 :rule skolemize :premises (@p621)) % 150.63/151.00 (step-pop @p622 :rule scope :premises (@p551)) % 150.63/151.00 (step @p552 :rule process_scope :premises (@p622) :args (@t377)) % 150.63/151.00 (step @p554 :rule implies_elim :premises (@p552)) % 150.63/151.00 (step @p555 :rule eq_resolve :premises (@p554 @p549)) % 150.63/151.00 (step @p556 :rule chain_m_resolution :premises (@p555 @p546) :args (@t366 @t342 (@list @t373))) % 150.63/151.00 (step @p557 :rule cnf_or_pos :args (@t368)) % 150.63/151.00 (step @p558 :rule reordering :premises (@p557) :args ((or @t302 @t367 @t365 (not @t368)))) % 150.63/151.00 (step @p559 :rule chain_m_resolution :premises (@p558 @p505 @p556 @p528) :args (@t365 @t362 (@list @t302 @t366 @t368))) % 150.63/151.00 (step @p560 :rule refl :args (@t386)) % 150.63/151.00 (step @p561 :rule bool-double-not-elim :args (@t364)) % 150.63/151.00 (step @p562 :rule nary_cong :premises (@p561 @p560) :args ((or (not @t365) @t386))) % 150.63/151.00 (assume-push @p623 @t365) % 150.63/151.00 (step @p564 :rule skolemize :premises (@p623)) % 150.63/151.00 (step-pop @p624 :rule scope :premises (@p564)) % 150.63/151.00 (step @p565 :rule process_scope :premises (@p624) :args (@t386)) % 150.63/151.00 (step @p567 :rule implies_elim :premises (@p565)) % 150.63/151.00 (step @p568 :rule eq_resolve :premises (@p567 @p562)) % 150.63/151.00 (step @p569 :rule chain_m_resolution :premises (@p568 @p559) :args (@t386 @t324 (@list @t364))) % 150.63/151.00 (step @p570 :rule bool-double-not-elim :args (@t383)) % 150.63/151.00 (step @p571 :rule refl :args (@t385)) % 150.63/151.00 (step @p572 :rule nary_cong :premises (@p571 @p570) :args ((or @t385 (not @t384)))) % 150.63/151.00 (step @p573 :rule cnf_or_neg :args (@t385 0)) % 150.63/151.00 (step @p574 :rule eq_resolve :premises (@p573 @p572)) % 150.63/151.00 (step @p575 :rule reordering :premises (@p574) :args ((or @t383 @t385))) % 150.63/151.00 (step @p576 :rule chain_m_resolution :premises (@p575 @p569) :args (@t383 @t324 @t387)) % 150.63/151.00 (step @p577 :rule cnf_or_neg :args (@t385 2)) % 150.63/151.00 (step @p578 :rule chain_m_resolution :premises (@p577 @p569) :args ((not @t379) @t324 @t387)) % 150.63/151.00 (step @p579 :rule bool-double-not-elim :args (@t381)) % 150.63/151.00 (step @p580 :rule nary_cong :premises (@p571 @p579) :args ((or @t385 (not @t382)))) % 150.63/151.00 (step @p581 :rule cnf_or_neg :args (@t385 1)) % 150.63/151.00 (step @p582 :rule eq_resolve :premises (@p581 @p580)) % 150.63/151.00 (step @p583 :rule reordering :premises (@p582) :args ((or @t381 @t385))) % 150.63/151.00 (step @p584 :rule chain_m_resolution :premises (@p583 @p569) :args (@t381 @t324 @t387)) % 150.63/151.00 (step @p585 :rule cnf_and_pos :args (@t388 1)) % 150.63/151.00 (step @p586 :rule reordering :premises (@p585) :args ((or @t382 @t389))) % 150.63/151.00 (step @p587 :rule chain_m_resolution :premises (@p586 @p584) :args (@t389 @t342 (@list @t381))) % 150.63/151.00 (assume-push @p625 @t305) % 150.63/151.00 (step @p589 :rule instantiate :premises (@p625) :args ((@list @t380 @t378))) % 150.63/151.00 (step-pop @p626 :rule scope :premises (@p589)) % 150.63/151.00 (step @p590 :rule process_scope :premises (@p626) :args (@t390)) % 150.63/151.00 (step @p592 :rule implies_elim :premises (@p590)) % 150.63/151.00 (step @p593 :rule chain_m_resolution :premises (@p592 @p434) :args (@t390 @t342 @t343)) % 150.63/151.00 (step @p594 :rule cnf_or_pos :args (@t390)) % 150.63/151.00 (step @p595 :rule reordering :premises (@p594) :args ((or @t384 @t379 @t388 (not @t390)))) % 150.63/151.00 (step @p596 false :rule chain_m_resolution :premises (@p595 @p593 @p587 @p578 @p576) :args (false @t376 (@list @t390 @t388 @t379 @t383))) % 150.63/151.00 ) % 150.63/151.00 % SZS output end Proof % 150.63/151.00 % cvc5 exiting %------------------------------------------------------------------------------