%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV152^5 : 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 : n010.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 150.64s 150.96s % Output : Proof 150.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV152^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.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 18:15:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 150.64/150.96 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.64/150.96 --- 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... % 150.64/150.96 --- 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... % 150.64/150.96 --- Run --ho-elim --full-saturate-quant at 18s... % 150.64/150.96 % SZS status Theorem % 150.64/150.96 % SZS output start Proof % 150.64/150.96 ( % 150.64/150.96 (declare-sort tptp.a 0) % 150.64/150.96 (define @t1 () (@var "Xy" tptp.a)) % 150.64/150.96 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 150.64/150.96 (define @t3 () (_ @t2 @t1)) % 150.64/150.96 (define @t4 () (@var "Xv" tptp.a)) % 150.64/150.96 (define @t5 () (_ @t2 @t4)) % 150.64/150.96 (define @t6 () (@var "Xu" tptp.a)) % 150.64/150.96 (define @t7 () (@var "S" (-> tptp.a tptp.a Bool))) % 150.64/150.96 (define @t8 () (_ (_ @t7 @t6) @t4)) % 150.64/150.96 (define @t9 () (@var "R" (-> tptp.a tptp.a Bool))) % 150.64/150.96 (define @t10 () (_ (_ @t9 @t6) @t4)) % 150.64/150.96 (define @t11 () (or @t10 @t8)) % 150.64/150.96 (define @t12 () (_ @t2 @t6)) % 150.64/150.96 (define @t13 () (and @t12 @t11)) % 150.64/150.96 (define @t14 () (@list @t6 @t4)) % 150.64/150.96 (define @t15 () (forall @t14 (=> @t13 @t5))) % 150.64/150.96 (define @t16 () (@var "Xw" tptp.a)) % 150.64/150.96 (define @t17 () (_ @t2 @t16)) % 150.64/150.96 (define @t18 () (@var "Xx" tptp.a)) % 150.64/150.96 (define @t19 () (_ (_ @t7 @t18) @t16)) % 150.64/150.96 (define @t20 () (_ (_ @t9 @t18) @t16)) % 150.64/150.96 (define @t21 () (or @t20 @t19)) % 150.64/150.96 (define @t22 () (@list @t16)) % 150.64/150.96 (define @t23 () (forall @t22 (=> @t21 @t17))) % 150.64/150.96 (define @t24 () (and @t23 @t15)) % 150.64/150.96 (define @t25 () (=> @t24 @t3)) % 150.64/150.96 (define @t26 () (@list @t2)) % 150.64/150.96 (define @t27 () (forall @t26 @t25)) % 150.64/150.96 (define @t28 () (@var "Xz" tptp.a)) % 150.64/150.96 (define @t29 () (_ @t2 @t28)) % 150.64/150.96 (define @t30 () (@var "Xx0" tptp.a)) % 150.64/150.96 (define @t31 () (_ (_ @t7 @t30) @t16)) % 150.64/150.96 (define @t32 () (_ (_ @t9 @t30) @t16)) % 150.64/150.96 (define @t33 () (or @t32 @t31)) % 150.64/150.96 (define @t34 () (forall @t22 (=> @t33 @t17))) % 150.64/150.96 (define @t35 () (and @t34 @t15)) % 150.64/150.96 (define @t36 () (=> @t35 @t29)) % 150.64/150.96 (define @t37 () (forall @t26 @t36)) % 150.64/150.96 (define @t38 () (@var "Xy0" tptp.a)) % 150.64/150.96 (define @t39 () (_ (_ @t7 @t38) @t16)) % 150.64/150.96 (define @t40 () (_ (_ @t9 @t38) @t16)) % 150.64/150.96 (define @t41 () (or @t40 @t39)) % 150.64/150.96 (define @t42 () (forall @t22 (=> @t41 @t17))) % 150.64/150.96 (define @t43 () (and @t42 @t15)) % 150.64/150.96 (define @t44 () (=> @t43 @t29)) % 150.64/150.96 (define @t45 () (forall @t26 @t44)) % 150.64/150.96 (define @t46 () (_ @t2 @t38)) % 150.64/150.96 (define @t47 () (=> @t35 @t46)) % 150.64/150.96 (define @t48 () (forall @t26 @t47)) % 150.64/150.96 (define @t49 () (and @t48 @t45)) % 150.64/150.96 (define @t50 () (=> @t49 @t37)) % 150.64/150.96 (define @t51 () (@list @t30 @t38 @t28)) % 150.64/150.96 (define @t52 () (forall @t51 @t50)) % 150.64/150.96 (define @t53 () (and @t12 @t8)) % 150.64/150.96 (define @t54 () (forall @t14 (=> @t53 @t5))) % 150.64/150.96 (define @t55 () (forall @t22 (=> @t31 @t17))) % 150.64/150.96 (define @t56 () (and @t55 @t54)) % 150.64/150.96 (define @t57 () (=> @t56 @t46)) % 150.64/150.96 (define @t58 () (forall @t26 @t57)) % 150.64/150.96 (define @t59 () (and @t12 @t10)) % 150.64/150.96 (define @t60 () (forall @t14 (=> @t59 @t5))) % 150.64/150.96 (define @t61 () (forall @t22 (=> @t32 @t17))) % 150.64/150.96 (define @t62 () (and @t61 @t60)) % 150.64/150.96 (define @t63 () (=> @t62 @t46)) % 150.64/150.96 (define @t64 () (forall @t26 @t63)) % 150.64/150.96 (define @t65 () (or @t64 @t58)) % 150.64/150.96 (define @t66 () (=> @t65 @t48)) % 150.64/150.96 (define @t67 () (@list @t30 @t38)) % 150.64/150.96 (define @t68 () (forall @t67 @t66)) % 150.64/150.96 (define @t69 () (and @t68 @t52)) % 150.64/150.96 (define @t70 () (=> @t69 @t27)) % 150.64/150.96 (define @t71 () (=> @t70 @t27)) % 150.64/150.96 (define @t72 () (@list @t9 @t7 @t18 @t1)) % 150.64/150.96 (define @t73 () (forall @t72 @t71)) % 150.64/150.96 (define @t74 () (not @t73)) % 150.64/150.96 (define @t75 () (@var "BOUND_VARIABLE_7810" (@ho-elim-sort (-> tptp.a Bool)))) % 150.64/150.96 (define @t76 () (@const 0 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 150.64/150.96 (define @t77 () (@var "BOUND_VARIABLE_7817" (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 150.64/150.96 (define @t78 () (@const 1 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 150.64/150.96 (define @t79 () (not (_ @t76 (_ @t78 @t77 @t6) @t4))) % 150.64/150.96 (define @t80 () (@var "BOUND_VARIABLE_7823" (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 150.64/150.96 (define @t81 () (not (_ @t76 (_ @t78 @t80 @t6) @t4))) % 150.64/150.96 (define @t82 () (and @t81 @t79)) % 150.64/150.96 (define @t83 () (and (not (_ @t76 (_ @t78 @t80 @t18) @t16)) (not (_ @t76 (_ @t78 @t77 @t18) @t16)))) % 150.64/150.96 (define @t84 () (@var "BOUND_VARIABLE_7846" (@ho-elim-sort (-> tptp.a Bool)))) % 150.64/150.96 (define @t85 () (_ @t76 @t84 @t4)) % 150.64/150.96 (define @t86 () (not (_ @t76 @t84 @t6))) % 150.64/150.96 (define @t87 () (not (forall @t14 (or @t86 @t82 @t85)))) % 150.64/150.96 (define @t88 () (_ @t76 @t84 @t16)) % 150.64/150.96 (define @t89 () (@list @t84)) % 150.64/150.96 (define @t90 () (@var "BOUND_VARIABLE_7747" tptp.a)) % 150.64/150.96 (define @t91 () (@var "BOUND_VARIABLE_7863" (@ho-elim-sort (-> tptp.a Bool)))) % 150.64/150.96 (define @t92 () (@var "BOUND_VARIABLE_7743" tptp.a)) % 150.64/150.96 (define @t93 () (and (not (_ @t76 (_ @t78 @t80 @t92) @t16)) (not (_ @t76 (_ @t78 @t77 @t92) @t16)))) % 150.64/150.96 (define @t94 () (@var "BOUND_VARIABLE_7745" tptp.a)) % 150.64/150.96 (define @t95 () (@var "BOUND_VARIABLE_7708" tptp.a)) % 150.64/150.96 (define @t96 () (@var "BOUND_VARIABLE_7918" (@ho-elim-sort (-> tptp.a Bool)))) % 150.64/150.96 (define @t97 () (@var "BOUND_VARIABLE_7706" tptp.a)) % 150.64/150.96 (define @t98 () (not (_ @t76 (_ @t78 @t77 @t97) @t16))) % 150.64/150.96 (define @t99 () (not (_ @t76 (_ @t78 @t80 @t97) @t16))) % 150.64/150.96 (define @t100 () (_ @t76 @t84 @t95)) % 150.64/150.96 (define @t101 () (forall (@list @t80 @t77 @t18 @t1 @t97 @t95 @t96 @t92 @t94 @t90 @t91 @t75) (or (and (or (and (not (forall @t89 (or (not (forall @t22 (or @t99 @t88))) (not (forall @t14 (or @t86 @t81 @t85))) @t100))) (not (forall @t89 (or (not (forall @t22 (or @t98 @t88))) (not (forall @t14 (or @t86 @t79 @t85))) @t100)))) (not (forall @t22 (or (and @t99 @t98) (_ @t76 @t96 @t16)))) (not (forall @t14 (or (not (_ @t76 @t96 @t6)) @t82 (_ @t76 @t96 @t4)))) (_ @t76 @t96 @t95)) (or (not (forall @t89 (or (not (forall @t22 (or @t93 @t88))) @t87 (_ @t76 @t84 @t94)))) (not (forall @t89 (or (not (forall @t22 (or (and (not (_ @t76 (_ @t78 @t80 @t94) @t16)) (not (_ @t76 (_ @t78 @t77 @t94) @t16))) @t88))) @t87 (_ @t76 @t84 @t90)))) (not (forall @t22 (or @t93 (_ @t76 @t91 @t16)))) (not (forall @t14 (or (not (_ @t76 @t91 @t6)) @t82 (_ @t76 @t91 @t4)))) (_ @t76 @t91 @t90)) (not (forall @t89 (or (not (forall @t22 (or @t83 @t88))) @t87 (_ @t76 @t84 @t1))))) (not (forall @t22 (or @t83 (_ @t76 @t75 @t16)))) (not (forall @t14 (or (not (_ @t76 @t75 @t6)) @t82 (_ @t76 @t75 @t4)))) (_ @t76 @t75 @t1)))) % 150.64/150.96 (define @t102 () (@quantifiers_skolemize @t101 8)) % 150.64/150.96 (define @t103 () (@quantifiers_skolemize @t101 1)) % 150.64/150.96 (define @t104 () (not (_ @t76 (_ @t78 @t103 @t6) @t4))) % 150.64/150.96 (define @t105 () (@quantifiers_skolemize @t101 0)) % 150.64/150.96 (define @t106 () (not (_ @t76 (_ @t78 @t105 @t6) @t4))) % 150.64/150.96 (define @t107 () (and @t106 @t104)) % 150.64/150.96 (define @t108 () (not (forall @t14 (or @t86 @t107 @t85)))) % 150.64/150.96 (define @t109 () (@quantifiers_skolemize @t101 7)) % 150.64/150.96 (define @t110 () (and (not (_ @t76 (_ @t78 @t105 @t109) @t16)) (not (_ @t76 (_ @t78 @t103 @t109) @t16)))) % 150.64/150.96 (define @t111 () (forall @t89 (or (not (forall @t22 (or @t110 @t88))) @t108 (_ @t76 @t84 @t102)))) % 150.64/150.96 (define @t112 () (@quantifiers_skolemize @t101 9)) % 150.64/150.96 (define @t113 () (@quantifiers_skolemize @t101 10)) % 150.64/150.96 (define @t114 () (_ @t76 @t113 @t112)) % 150.64/150.96 (define @t115 () (forall @t14 (or (not (_ @t76 @t113 @t6)) @t107 (_ @t76 @t113 @t4)))) % 150.64/150.96 (define @t116 () (not @t115)) % 150.64/150.96 (define @t117 () (_ @t76 @t113 @t16)) % 150.64/150.96 (define @t118 () (forall @t22 (or @t110 @t117))) % 150.64/150.96 (define @t119 () (not @t118)) % 150.64/150.96 (define @t120 () (_ @t78 @t103 @t102)) % 150.64/150.96 (define @t121 () (_ @t78 @t105 @t102)) % 150.64/150.96 (define @t122 () (and (not (_ @t76 @t121 @t16)) (not (_ @t76 @t120 @t16)))) % 150.64/150.96 (define @t123 () (forall @t89 (or (not (forall @t22 (or @t122 @t88))) @t108 (_ @t76 @t84 @t112)))) % 150.64/150.96 (define @t124 () (not @t123)) % 150.64/150.96 (define @t125 () (not @t111)) % 150.64/150.96 (define @t126 () (or @t125 @t124 @t119 @t116 @t114)) % 150.64/150.96 (define @t127 () (@list @t113)) % 150.64/150.96 (define @t128 () (_ @t76 @t113 @t102)) % 150.64/150.96 (define @t129 () (or @t119 @t116 @t128)) % 150.64/150.96 (define @t130 () (forall @t22 (or @t122 @t117))) % 150.64/150.96 (define @t131 () (not @t130)) % 150.64/150.96 (define @t132 () (or @t131 @t116 @t114)) % 150.64/150.96 (define @t133 () (@quantifiers_skolemize @t130 0)) % 150.64/150.96 (define @t134 () (_ @t76 @t113 @t133)) % 150.64/150.96 (define @t135 () (and (not (_ @t76 @t121 @t133)) (not (_ @t76 @t120 @t133)))) % 150.64/150.96 (define @t136 () (not @t128)) % 150.64/150.96 (define @t137 () (or @t136 @t135 @t134)) % 150.64/150.96 (define @t138 () (or @t135 @t134)) % 150.64/150.96 (define @t139 () (not @t137)) % 150.64/150.96 (define @t140 () (@list true true)) % 150.64/150.96 (define @t141 () (not @t138)) % 150.64/150.96 (define @t142 () (@var "BOUND_VARIABLE_7788" (-> tptp.a Bool))) % 150.64/150.96 (define @t143 () (_ @t142 @t1)) % 150.64/150.96 (define @t144 () (_ @t7 @t6 @t4)) % 150.64/150.96 (define @t145 () (not @t144)) % 150.64/150.96 (define @t146 () (_ @t9 @t6 @t4)) % 150.64/150.96 (define @t147 () (not @t146)) % 150.64/150.96 (define @t148 () (and @t147 @t145)) % 150.64/150.96 (define @t149 () (not (forall @t14 (or (not (_ @t142 @t6)) @t148 (_ @t142 @t4))))) % 150.64/150.96 (define @t150 () (_ @t7 @t18 @t16)) % 150.64/150.96 (define @t151 () (_ @t9 @t18 @t16)) % 150.64/150.96 (define @t152 () (and (not @t151) (not @t150))) % 150.64/150.96 (define @t153 () (not (forall @t22 (or @t152 (_ @t142 @t16))))) % 150.64/150.96 (define @t154 () (_ @t2 @t1)) % 150.64/150.96 (define @t155 () (_ @t2 @t4)) % 150.64/150.96 (define @t156 () (_ @t2 @t6)) % 150.64/150.96 (define @t157 () (not @t156)) % 150.64/150.96 (define @t158 () (forall @t14 (or @t157 @t148 @t155))) % 150.64/150.96 (define @t159 () (not @t158)) % 150.64/150.96 (define @t160 () (_ @t2 @t16)) % 150.64/150.96 (define @t161 () (forall @t22 (or @t152 @t160))) % 150.64/150.96 (define @t162 () (not @t161)) % 150.64/150.96 (define @t163 () (forall @t26 (or @t162 @t159 @t154))) % 150.64/150.96 (define @t164 () (not @t163)) % 150.64/150.96 (define @t165 () (@var "BOUND_VARIABLE_7749" (-> tptp.a Bool))) % 150.64/150.96 (define @t166 () (and (not (_ @t9 @t92 @t16)) (not (_ @t7 @t92 @t16)))) % 150.64/150.96 (define @t167 () (or (not (forall @t26 (or (not (forall @t22 (or @t166 @t160))) @t159 (_ @t2 @t94)))) (not (forall @t26 (or (not (forall @t22 (or (and (not (_ @t9 @t94 @t16)) (not (_ @t7 @t94 @t16))) @t160))) @t159 (_ @t2 @t90)))) (not (forall @t22 (or @t166 (_ @t165 @t16)))) (not (forall @t14 (or (not (_ @t165 @t6)) @t148 (_ @t165 @t4)))) (_ @t165 @t90))) % 150.64/150.96 (define @t168 () (@var "BOUND_VARIABLE_7710" (-> tptp.a Bool))) % 150.64/150.96 (define @t169 () (not (_ @t7 @t97 @t16))) % 150.64/150.96 (define @t170 () (not (_ @t9 @t97 @t16))) % 150.64/150.96 (define @t171 () (_ @t2 @t95)) % 150.64/150.96 (define @t172 () (forall @t14 (or @t157 @t145 @t155))) % 150.64/150.96 (define @t173 () (not @t172)) % 150.64/150.96 (define @t174 () (forall @t14 (or @t157 @t147 @t155))) % 150.64/150.96 (define @t175 () (not @t174)) % 150.64/150.96 (define @t176 () (or (and (not (forall @t26 (or (not (forall @t22 (or @t170 @t160))) @t175 @t171))) (not (forall @t26 (or (not (forall @t22 (or @t169 @t160))) @t173 @t171)))) (not (forall @t22 (or (and @t170 @t169) (_ @t168 @t16)))) (not (forall @t14 (or (not (_ @t168 @t6)) @t148 (_ @t168 @t4)))) (_ @t168 @t95))) % 150.64/150.96 (define @t177 () (and @t176 @t167 @t164)) % 150.64/150.96 (define @t178 () (or @t177 @t153 @t149 @t143)) % 150.64/150.96 (define @t179 () (@list @t9 @t7 @t18 @t1 @t97 @t95 @t168 @t92 @t94 @t90 @t165 @t142)) % 150.64/150.96 (define @t180 () (or @t153 @t149 @t143)) % 150.64/150.96 (define @t181 () (or @t177 @t180)) % 150.64/150.96 (define @t182 () (forall @t179 @t181)) % 150.64/150.96 (define @t183 () (forall (@list @t97 @t95 @t168 @t92 @t94 @t90 @t165 @t142) @t181)) % 150.64/150.96 (define @t184 () (forall (@list @t142) @t180)) % 150.64/150.96 (define @t185 () (@list @t2)) % 150.64/150.96 (define @t186 () (@list @t97 @t95 @t168 @t92 @t94 @t90 @t165)) % 150.64/150.96 (define @t187 () (forall @t186 @t164)) % 150.64/150.96 (define @t188 () (forall (@list @t92 @t94 @t90 @t165) @t167)) % 150.64/150.96 (define @t189 () (@var "BOUND_VARIABLE_7654" (-> tptp.a Bool))) % 150.64/150.96 (define @t190 () (forall @t186 @t167)) % 150.64/150.96 (define @t191 () (forall (@list @t97 @t95 @t168) @t176)) % 150.64/150.96 (define @t192 () (@var "BOUND_VARIABLE_7596" (-> tptp.a Bool))) % 150.64/150.96 (define @t193 () (forall @t186 @t176)) % 150.64/150.96 (define @t194 () (and @t193 @t190 @t187)) % 150.64/150.96 (define @t195 () (forall @t186 @t177)) % 150.64/150.96 (define @t196 () (or @t195 @t184)) % 150.64/150.96 (define @t197 () (_ @t189 @t28)) % 150.64/150.96 (define @t198 () (not (forall @t14 (or (not (_ @t189 @t6)) @t148 (_ @t189 @t4))))) % 150.64/150.96 (define @t199 () (_ @t7 @t30 @t16)) % 150.64/150.96 (define @t200 () (not @t199)) % 150.64/150.96 (define @t201 () (_ @t9 @t30 @t16)) % 150.64/150.96 (define @t202 () (not @t201)) % 150.64/150.96 (define @t203 () (and @t202 @t200)) % 150.64/150.96 (define @t204 () (not (forall @t22 (or @t203 (_ @t189 @t16))))) % 150.64/150.96 (define @t205 () (_ @t2 @t28)) % 150.64/150.96 (define @t206 () (_ @t7 @t38 @t16)) % 150.64/150.96 (define @t207 () (_ @t9 @t38 @t16)) % 150.64/150.96 (define @t208 () (forall @t22 (or (and (not @t207) (not @t206)) @t160))) % 150.64/150.96 (define @t209 () (not @t208)) % 150.64/150.96 (define @t210 () (forall @t26 (or @t209 @t159 @t205))) % 150.64/150.96 (define @t211 () (not @t210)) % 150.64/150.96 (define @t212 () (_ @t2 @t38)) % 150.64/150.96 (define @t213 () (forall @t22 (or @t203 @t160))) % 150.64/150.96 (define @t214 () (not @t213)) % 150.64/150.96 (define @t215 () (forall @t26 (or @t214 @t159 @t212))) % 150.64/150.96 (define @t216 () (not @t215)) % 150.64/150.96 (define @t217 () (or @t216 @t211 @t204 @t198 @t197)) % 150.64/150.96 (define @t218 () (@list @t30 @t38 @t28 @t189)) % 150.64/150.96 (define @t219 () (forall @t218 @t217)) % 150.64/150.96 (define @t220 () (_ @t192 @t38)) % 150.64/150.96 (define @t221 () (not (forall @t14 (or (not (_ @t192 @t6)) @t148 (_ @t192 @t4))))) % 150.64/150.96 (define @t222 () (not (forall @t22 (or @t203 (_ @t192 @t16))))) % 150.64/150.96 (define @t223 () (forall @t22 (or @t200 @t160))) % 150.64/150.96 (define @t224 () (not @t223)) % 150.64/150.96 (define @t225 () (forall @t26 (or @t224 @t173 @t212))) % 150.64/150.96 (define @t226 () (forall @t22 (or @t202 @t160))) % 150.64/150.96 (define @t227 () (not @t226)) % 150.64/150.96 (define @t228 () (forall @t26 (or @t227 @t175 @t212))) % 150.64/150.96 (define @t229 () (and (not @t228) (not @t225))) % 150.64/150.96 (define @t230 () (or @t229 @t222 @t221 @t220)) % 150.64/150.96 (define @t231 () (@list @t30 @t38 @t192)) % 150.64/150.96 (define @t232 () (forall @t231 @t230)) % 150.64/150.96 (define @t233 () (and @t232 @t219 @t164)) % 150.64/150.96 (define @t234 () (and @t232 @t219)) % 150.64/150.96 (define @t235 () (=> @t234 @t163)) % 150.64/150.96 (define @t236 () (or @t162 @t159 @t3)) % 150.64/150.96 (define @t237 () (and @t161 @t158)) % 150.64/150.96 (define @t238 () (not @t8)) % 150.64/150.96 (define @t239 () (not @t10)) % 150.64/150.96 (define @t240 () (and @t239 @t238)) % 150.64/150.96 (define @t241 () (not @t12)) % 150.64/150.96 (define @t242 () (or @t241 @t240 @t5)) % 150.64/150.96 (define @t243 () (not @t19)) % 150.64/150.96 (define @t244 () (not @t20)) % 150.64/150.96 (define @t245 () (and @t244 @t243)) % 150.64/150.96 (define @t246 () (or @t245 @t17)) % 150.64/150.96 (define @t247 () (or @t204 @t198 @t197)) % 150.64/150.96 (define @t248 () (or @t216 @t211 @t247)) % 150.64/150.96 (define @t249 () (forall @t218 @t248)) % 150.64/150.96 (define @t250 () (@list @t189)) % 150.64/150.96 (define @t251 () (forall @t250 @t248)) % 150.64/150.96 (define @t252 () (forall @t250 @t247)) % 150.64/150.96 (define @t253 () (or @t216 @t211 @t252)) % 150.64/150.96 (define @t254 () (forall @t26 (or @t214 @t159 @t205))) % 150.64/150.96 (define @t255 () (or @t216 @t211 @t254)) % 150.64/150.96 (define @t256 () (and @t215 @t210)) % 150.64/150.96 (define @t257 () (or @t214 @t159 @t29)) % 150.64/150.96 (define @t258 () (or @t214 @t159)) % 150.64/150.96 (define @t259 () (and @t213 @t158)) % 150.64/150.96 (define @t260 () (not @t259)) % 150.64/150.96 (define @t261 () (not @t31)) % 150.64/150.96 (define @t262 () (not @t32)) % 150.64/150.96 (define @t263 () (and @t262 @t261)) % 150.64/150.96 (define @t264 () (or @t263 @t17)) % 150.64/150.96 (define @t265 () (or @t209 @t159 @t29)) % 150.64/150.96 (define @t266 () (and @t208 @t158)) % 150.64/150.96 (define @t267 () (not @t39)) % 150.64/150.96 (define @t268 () (not @t40)) % 150.64/150.96 (define @t269 () (and @t268 @t267)) % 150.64/150.96 (define @t270 () (or @t269 @t17)) % 150.64/150.96 (define @t271 () (or @t214 @t159 @t46)) % 150.64/150.96 (define @t272 () (or @t222 @t221 @t220)) % 150.64/150.96 (define @t273 () (or @t229 @t272)) % 150.64/150.96 (define @t274 () (forall @t231 @t273)) % 150.64/150.96 (define @t275 () (@list @t192)) % 150.64/150.96 (define @t276 () (forall @t275 @t273)) % 150.64/150.96 (define @t277 () (forall @t275 @t272)) % 150.64/150.96 (define @t278 () (or @t229 @t277)) % 150.64/150.96 (define @t279 () (or @t228 @t225)) % 150.64/150.96 (define @t280 () (or @t224 @t173 @t46)) % 150.64/150.96 (define @t281 () (and @t223 @t172)) % 150.64/150.96 (define @t282 () (or @t241 @t238 @t5)) % 150.64/150.96 (define @t283 () (or @t261 @t17)) % 150.64/150.96 (define @t284 () (or @t227 @t175 @t46)) % 150.64/150.96 (define @t285 () (and @t226 @t174)) % 150.64/150.96 (define @t286 () (or @t241 @t239 @t5)) % 150.64/150.96 (define @t287 () (or @t262 @t17)) % 150.64/150.96 (define @t288 () (@quantifiers_skolemize @t101 3)) % 150.64/150.96 (define @t289 () (@quantifiers_skolemize @t101 11)) % 150.64/150.96 (define @t290 () (_ @t76 @t289 @t288)) % 150.64/150.96 (define @t291 () (forall @t14 (or (not (_ @t76 @t289 @t6)) @t107 (_ @t76 @t289 @t4)))) % 150.64/150.96 (define @t292 () (not @t291)) % 150.64/150.96 (define @t293 () (@quantifiers_skolemize @t101 2)) % 150.64/150.96 (define @t294 () (and (not (_ @t76 (_ @t78 @t105 @t293) @t16)) (not (_ @t76 (_ @t78 @t103 @t293) @t16)))) % 150.64/150.96 (define @t295 () (forall @t22 (or @t294 (_ @t76 @t289 @t16)))) % 150.64/150.96 (define @t296 () (not @t295)) % 150.64/150.96 (define @t297 () (forall @t89 (or (not (forall @t22 (or @t294 @t88))) @t108 (_ @t76 @t84 @t288)))) % 150.64/150.96 (define @t298 () (not @t297)) % 150.64/150.96 (define @t299 () (@quantifiers_skolemize @t101 5)) % 150.64/150.96 (define @t300 () (@quantifiers_skolemize @t101 6)) % 150.64/150.96 (define @t301 () (_ @t76 @t300 @t299)) % 150.64/150.96 (define @t302 () (_ @t76 @t300 @t4)) % 150.64/150.96 (define @t303 () (not (_ @t76 @t300 @t6))) % 150.64/150.96 (define @t304 () (forall @t14 (or @t303 @t107 @t302))) % 150.64/150.96 (define @t305 () (not @t304)) % 150.64/150.96 (define @t306 () (_ @t76 @t300 @t16)) % 150.64/150.96 (define @t307 () (@quantifiers_skolemize @t101 4)) % 150.64/150.96 (define @t308 () (_ @t78 @t103 @t307)) % 150.64/150.96 (define @t309 () (not (_ @t76 @t308 @t16))) % 150.64/150.96 (define @t310 () (_ @t78 @t105 @t307)) % 150.64/150.96 (define @t311 () (not (_ @t76 @t310 @t16))) % 150.64/150.96 (define @t312 () (forall @t22 (or (and @t311 @t309) @t306))) % 150.64/150.96 (define @t313 () (not @t312)) % 150.64/150.96 (define @t314 () (_ @t76 @t84 @t299)) % 150.64/150.96 (define @t315 () (forall @t89 (or (not (forall @t22 (or @t309 @t88))) (not (forall @t14 (or @t86 @t104 @t85))) @t314))) % 150.64/150.96 (define @t316 () (not @t315)) % 150.64/150.96 (define @t317 () (forall @t89 (or (not (forall @t22 (or @t311 @t88))) (not (forall @t14 (or @t86 @t106 @t85))) @t314))) % 150.64/150.96 (define @t318 () (not @t317)) % 150.64/150.96 (define @t319 () (and @t318 @t316)) % 150.64/150.96 (define @t320 () (or @t319 @t313 @t305 @t301)) % 150.64/150.96 (define @t321 () (and @t320 @t126 @t298)) % 150.64/150.96 (define @t322 () (or @t321 @t296 @t292 @t290)) % 150.64/150.96 (define @t323 () (@list true)) % 150.64/150.96 (define @t324 () (@list @t322)) % 150.64/150.96 (define @t325 () (or @t296 @t292 @t290)) % 150.64/150.96 (define @t326 () (not @t325)) % 150.64/150.96 (define @t327 () (not @t126)) % 150.64/150.96 (define @t328 () (not @t320)) % 150.64/150.96 (define @t329 () (@list true true false)) % 150.64/150.96 (define @t330 () (@list @t320)) % 150.64/150.96 (define @t331 () (forall @t14 (or @t303 @t106 @t302))) % 150.64/150.96 (define @t332 () (@quantifiers_skolemize @t331 1)) % 150.64/150.96 (define @t333 () (@quantifiers_skolemize @t331 0)) % 150.64/150.96 (define @t334 () (_ @t76 @t300 @t332)) % 150.64/150.96 (define @t335 () (_ @t76 (_ @t78 @t105 @t333) @t332)) % 150.64/150.96 (define @t336 () (not @t335)) % 150.64/150.96 (define @t337 () (and @t336 (not (_ @t76 (_ @t78 @t103 @t333) @t332)))) % 150.64/150.96 (define @t338 () (_ @t76 @t300 @t333)) % 150.64/150.96 (define @t339 () (not @t338)) % 150.64/150.96 (define @t340 () (or @t339 @t337 @t334)) % 150.64/150.96 (define @t341 () (@list false)) % 150.64/150.96 (define @t342 () (@list @t304)) % 150.64/150.96 (define @t343 () (or @t339 @t336 @t334)) % 150.64/150.96 (define @t344 () (not @t340)) % 150.64/150.96 (define @t345 () (not @t343)) % 150.64/150.96 (define @t346 () (not @t331)) % 150.64/150.96 (define @t347 () (forall @t22 (or @t311 @t306))) % 150.64/150.96 (define @t348 () (@quantifiers_skolemize @t347 0)) % 150.64/150.96 (define @t349 () (_ @t76 @t300 @t348)) % 150.64/150.96 (define @t350 () (_ @t76 @t310 @t348)) % 150.64/150.96 (define @t351 () (not @t350)) % 150.64/150.96 (define @t352 () (and @t351 (not (_ @t76 @t308 @t348)))) % 150.64/150.96 (define @t353 () (or @t352 @t349)) % 150.64/150.96 (define @t354 () (@list @t312)) % 150.64/150.96 (define @t355 () (or @t351 @t349)) % 150.64/150.96 (define @t356 () (not @t353)) % 150.64/150.96 (define @t357 () (not @t355)) % 150.64/150.96 (define @t358 () (not @t347)) % 150.64/150.96 (define @t359 () (or @t358 @t346 @t301)) % 150.64/150.96 (define @t360 () (not @t359)) % 150.64/150.96 (define @t361 () (@list true false false)) % 150.64/150.96 (define @t362 () (@list @t300)) % 150.64/150.96 (define @t363 () (forall @t14 (or @t303 @t104 @t302))) % 150.64/150.96 (define @t364 () (not @t363)) % 150.64/150.96 (define @t365 () (forall @t22 (or @t309 @t306))) % 150.64/150.96 (define @t366 () (not @t365)) % 150.64/150.96 (define @t367 () (or @t366 @t364 @t301)) % 150.64/150.96 (define @t368 () (@quantifiers_skolemize @t365 0)) % 150.64/150.96 (define @t369 () (_ @t76 @t308 @t368)) % 150.64/150.96 (define @t370 () (_ @t76 @t300 @t368)) % 150.64/150.96 (define @t371 () (not @t369)) % 150.64/150.96 (define @t372 () (or @t371 @t370)) % 150.64/150.96 (define @t373 () (and (not (_ @t76 @t310 @t368)) @t371)) % 150.64/150.96 (define @t374 () (or @t373 @t370)) % 150.64/150.96 (define @t375 () (@list false true true false)) % 150.64/150.96 (define @t376 () (not @t372)) % 150.64/150.96 (define @t377 () (@quantifiers_skolemize @t363 1)) % 150.64/150.96 (define @t378 () (_ @t76 @t300 @t377)) % 150.64/150.96 (define @t379 () (@quantifiers_skolemize @t363 0)) % 150.64/150.96 (define @t380 () (_ @t76 (_ @t78 @t103 @t379) @t377)) % 150.64/150.96 (define @t381 () (not @t380)) % 150.64/150.96 (define @t382 () (_ @t76 @t300 @t379)) % 150.64/150.96 (define @t383 () (not @t382)) % 150.64/150.96 (define @t384 () (or @t383 @t381 @t378)) % 150.64/150.96 (define @t385 () (not @t384)) % 150.64/150.96 (define @t386 () (@list @t384)) % 150.64/150.96 (define @t387 () (and (not (_ @t76 (_ @t78 @t105 @t379) @t377)) @t381)) % 150.64/150.96 (define @t388 () (not @t387)) % 150.64/150.96 (define @t389 () (or @t383 @t387 @t378)) % 150.64/150.96 (assume @p1 @t74) % 150.64/150.96 (assume @p2 true) % 150.64/150.96 (step @p3 :rule bool-double-not-elim :args (@t111)) % 150.64/150.96 (step @p4 :rule refl :args (@t126)) % 150.64/150.96 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t126 (not @t125)))) % 150.64/150.96 (step @p6 :rule cnf_or_neg :args (@t126 0)) % 150.64/150.96 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 150.64/150.96 (step @p8 :rule reordering :premises (@p7) :args ((or @t111 @t126))) % 150.64/150.96 (step @p9 :rule bool-double-not-elim :args (@t123)) % 150.64/150.96 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t126 (not @t124)))) % 150.64/150.96 (step @p11 :rule cnf_or_neg :args (@t126 1)) % 150.64/150.96 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 150.64/150.96 (step @p13 :rule reordering :premises (@p12) :args ((or @t123 @t126))) % 150.64/150.96 (step @p14 :rule bool-double-not-elim :args (@t118)) % 150.64/150.96 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t126 (not @t119)))) % 150.64/150.96 (step @p16 :rule cnf_or_neg :args (@t126 2)) % 150.64/150.96 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 150.64/150.96 (step @p18 :rule reordering :premises (@p17) :args ((or @t118 @t126))) % 150.64/150.96 (step @p19 :rule bool-double-not-elim :args (@t115)) % 150.64/150.96 (step @p20 :rule nary_cong :premises (@p4 @p19) :args ((or @t126 (not @t116)))) % 150.64/150.96 (step @p21 :rule cnf_or_neg :args (@t126 3)) % 150.64/150.96 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 150.64/150.96 (step @p23 :rule reordering :premises (@p22) :args ((or @t115 @t126))) % 150.64/150.96 (step @p24 :rule cnf_or_neg :args (@t126 4)) % 150.64/150.96 (assume-push @p598 @t111) % 150.64/150.96 (step @p26 :rule instantiate :premises (@p598) :args (@t127)) % 150.64/150.96 (step-pop @p599 :rule scope :premises (@p26)) % 150.64/150.96 (step @p27 :rule process_scope :premises (@p599) :args (@t129)) % 150.64/150.96 (step @p29 :rule implies_elim :premises (@p27)) % 150.64/150.96 (assume-push @p600 @t123) % 150.64/150.96 (step @p31 :rule instantiate :premises (@p600) :args (@t127)) % 150.64/150.96 (step-pop @p601 :rule scope :premises (@p31)) % 150.64/150.96 (step @p32 :rule process_scope :premises (@p601) :args (@t132)) % 150.64/150.96 (step @p34 :rule implies_elim :premises (@p32)) % 150.64/150.96 (assume-push @p602 @t115) % 150.64/150.96 (step @p36 :rule instantiate :premises (@p602) :args ((@list @t102 @t133))) % 150.64/150.96 (step-pop @p603 :rule scope :premises (@p36)) % 150.64/150.96 (step @p37 :rule process_scope :premises (@p603) :args (@t137)) % 150.64/150.96 (step @p39 :rule implies_elim :premises (@p37)) % 150.64/150.96 (step @p40 :rule cnf_or_pos :args (@t129)) % 150.64/150.96 (step @p41 :rule reordering :premises (@p40) :args ((or @t119 @t116 @t128 (not @t129)))) % 150.64/150.96 (step @p42 :rule cnf_or_pos :args (@t132)) % 150.64/150.96 (step @p43 :rule reordering :premises (@p42) :args ((or @t116 @t114 @t131 (not @t132)))) % 150.64/150.96 (step @p44 :rule cnf_or_neg :args (@t138 0)) % 150.64/150.96 (step @p45 :rule cnf_or_neg :args (@t138 1)) % 150.64/150.96 (step @p46 :rule cnf_or_pos :args (@t137)) % 150.64/150.96 (step @p47 :rule reordering :premises (@p46) :args ((or @t135 @t134 @t136 @t139))) % 150.64/150.96 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44) :args ((or @t138 @t136 @t139) @t140 (@list @t134 @t135))) % 150.64/150.96 (step @p49 :rule refl :args (@t141)) % 150.64/150.96 (step @p50 :rule bool-double-not-elim :args (@t130)) % 150.64/150.96 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or (not @t131) @t141))) % 150.64/150.96 (assume-push @p604 @t131) % 150.64/150.96 (step @p53 :rule skolemize :premises (@p604)) % 150.64/150.96 (step-pop @p605 :rule scope :premises (@p53)) % 150.64/150.96 (step @p54 :rule process_scope :premises (@p605) :args (@t141)) % 150.64/150.96 (step @p56 :rule implies_elim :premises (@p54)) % 150.64/150.96 (step @p57 :rule eq_resolve :premises (@p56 @p51)) % 150.64/150.96 (step @p58 :rule chain_m_resolution :premises (@p57 @p48 @p43 @p41 @p39 @p34 @p29 @p24 @p23 @p18 @p13 @p8) :args (@t126 (@list false true false false false false true false false false false) (@list @t138 @t130 @t128 @t137 @t132 @t129 @t114 @t115 @t118 @t123 @t111))) % 150.64/150.96 ; WARNING: add trust step for TRUST % 150.64/150.96 ; trust TRUST PREPROCESS_HO_ELIM % 150.64/150.96 (step @p59 :rule trust :premises () :args ((= (not (forall @t179 @t178)) (not @t101)))) % 150.64/150.96 (step @p60 :rule aci_norm :args ((= @t181 @t178))) % 150.64/150.96 (step @p61 :rule cong :premises (@p60) :args (@t182)) % 150.64/150.96 (step @p62 :rule quant-merge-prenex :args ((= (forall @t72 @t183) @t182))) % 150.64/150.96 (step @p63 :rule alpha_equiv :args (@t184 (@list @t142) @t185)) % 150.64/150.96 (step @p64 :rule quant-unused-vars :args ((= @t187 @t164))) % 150.64/150.96 (step @p65 :rule alpha_equiv :args 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150.64/150.97 (step @p546 :rule reordering :premises (@p545) :args ((or @t370 @t373 (not @t374)))) % 150.64/150.97 (step @p547 :rule chain_m_resolution :premises (@p546 @p544 @p538 @p536 @p535) :args (@t372 @t375 (@list @t374 @t373 @t370 @t369))) % 150.64/150.97 (step @p548 :rule refl :args (@t376)) % 150.64/150.97 (step @p549 :rule bool-double-not-elim :args (@t365)) % 150.64/150.97 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or (not @t366) @t376))) % 150.64/150.97 (assume-push @p622 @t366) % 150.64/150.97 (step @p552 :rule skolemize :premises (@p622)) % 150.64/150.97 (step-pop @p623 :rule scope :premises (@p552)) % 150.64/150.97 (step @p553 :rule process_scope :premises (@p623) :args (@t376)) % 150.64/150.97 (step @p555 :rule implies_elim :premises (@p553)) % 150.64/150.97 (step @p556 :rule eq_resolve :premises (@p555 @p550)) % 150.64/150.97 (step @p557 :rule chain_m_resolution :premises (@p556 @p547) :args (@t365 @t341 (@list @t372))) % 150.64/150.97 (step @p558 :rule cnf_or_pos :args (@t367)) % 150.64/150.97 (step @p559 :rule reordering :premises (@p558) :args ((or @t301 @t366 @t364 (not @t367)))) % 150.64/150.97 (step @p560 :rule chain_m_resolution :premises (@p559 @p506 @p557 @p529) :args (@t364 @t361 (@list @t301 @t365 @t367))) % 150.64/150.97 (step @p561 :rule refl :args (@t385)) % 150.64/150.97 (step @p562 :rule bool-double-not-elim :args (@t363)) % 150.64/150.97 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or (not @t364) @t385))) % 150.64/150.97 (assume-push @p624 @t364) % 150.64/150.97 (step @p565 :rule skolemize :premises (@p624)) % 150.64/150.97 (step-pop @p625 :rule scope :premises (@p565)) % 150.64/150.97 (step @p566 :rule process_scope :premises (@p625) :args (@t385)) % 150.64/150.97 (step @p568 :rule implies_elim :premises (@p566)) % 150.64/150.97 (step @p569 :rule eq_resolve :premises (@p568 @p563)) % 150.64/150.97 (step @p570 :rule chain_m_resolution :premises (@p569 @p560) :args (@t385 @t323 (@list @t363))) % 150.64/150.97 (step @p571 :rule bool-double-not-elim :args (@t382)) % 150.64/150.97 (step @p572 :rule refl :args (@t384)) % 150.64/150.97 (step @p573 :rule nary_cong :premises (@p572 @p571) :args ((or @t384 (not @t383)))) % 150.64/150.97 (step @p574 :rule cnf_or_neg :args (@t384 0)) % 150.64/150.97 (step @p575 :rule eq_resolve :premises (@p574 @p573)) % 150.64/150.97 (step @p576 :rule reordering :premises (@p575) :args ((or @t382 @t384))) % 150.64/150.97 (step @p577 :rule chain_m_resolution :premises (@p576 @p570) :args (@t382 @t323 @t386)) % 150.64/150.97 (step @p578 :rule cnf_or_neg :args (@t384 2)) % 150.64/150.97 (step @p579 :rule chain_m_resolution :premises (@p578 @p570) :args ((not @t378) @t323 @t386)) % 150.64/150.97 (step @p580 :rule bool-double-not-elim :args (@t380)) % 150.64/150.97 (step @p581 :rule nary_cong :premises (@p572 @p580) :args ((or @t384 (not @t381)))) % 150.64/150.97 (step @p582 :rule cnf_or_neg :args (@t384 1)) % 150.64/150.97 (step @p583 :rule eq_resolve :premises (@p582 @p581)) % 150.64/150.97 (step @p584 :rule reordering :premises (@p583) :args ((or @t380 @t384))) % 150.64/150.97 (step @p585 :rule chain_m_resolution :premises (@p584 @p570) :args (@t380 @t323 @t386)) % 150.64/150.97 (step @p586 :rule cnf_and_pos :args (@t387 1)) % 150.64/150.97 (step @p587 :rule reordering :premises (@p586) :args ((or @t381 @t388))) % 150.64/150.97 (step @p588 :rule chain_m_resolution :premises (@p587 @p585) :args (@t388 @t341 (@list @t380))) % 150.64/150.97 (assume-push @p626 @t304) % 150.64/150.97 (step @p590 :rule instantiate :premises (@p626) :args ((@list @t379 @t377))) % 150.64/150.97 (step-pop @p627 :rule scope :premises (@p590)) % 150.64/150.97 (step @p591 :rule process_scope :premises (@p627) :args (@t389)) % 150.64/150.97 (step @p593 :rule implies_elim :premises (@p591)) % 150.64/150.97 (step @p594 :rule chain_m_resolution :premises (@p593 @p435) :args (@t389 @t341 @t342)) % 150.64/150.97 (step @p595 :rule cnf_or_pos :args (@t389)) % 150.64/150.97 (step @p596 :rule reordering :premises (@p595) :args ((or @t383 @t378 @t387 (not @t389)))) % 150.64/150.97 (step @p597 false :rule chain_m_resolution :premises (@p596 @p594 @p588 @p579 @p577) :args (false @t375 (@list @t389 @t387 @t378 @t382))) % 150.64/150.97 ) % 150.64/150.97 % SZS output end Proof % 150.64/150.97 % cvc5 exiting %------------------------------------------------------------------------------