%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV119^5 : 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 : n028.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 08:55:28 AM UTC 2026 % Result : Theorem 238.20s 238.59s % Output : Proof 229.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SEV119^5 : 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 % 0.18/0.35 % Computer : n028.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:14:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 238.20/238.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 238.20/238.59 --- 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... % 238.20/238.59 --- 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... % 238.20/238.59 --- Run --ho-elim --full-saturate-quant at 18s... % 238.20/238.59 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 238.20/238.59 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 238.20/238.59 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 238.20/238.59 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 238.20/238.59 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 21s... % 238.20/238.59 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 18s... % 238.20/238.59 % SZS status Theorem % 238.20/238.59 % SZS output start Proof % 238.20/238.59 ( % 238.20/238.59 (declare-sort tptp.a 0) % 238.20/238.59 (define @t1 () (@var "Xy" tptp.a)) % 238.20/238.59 (define @t2 () (@var "Xx" tptp.a)) % 238.20/238.59 (define @t3 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 238.20/238.59 (define @t4 () (_ (_ @t3 @t2) @t1)) % 238.20/238.59 (define @t5 () (@var "PROP" (-> (-> tptp.a tptp.a Bool) Bool))) % 238.20/238.59 (define @t6 () (_ @t5 @t3)) % 238.20/238.59 (define @t7 () (@var "Xy0" tptp.a)) % 238.20/238.59 (define @t8 () (@var "Xx0" tptp.a)) % 238.20/238.59 (define @t9 () (_ (_ @t3 @t8) @t7)) % 238.20/238.59 (define @t10 () (@var "Xp0" (-> tptp.a tptp.a Bool))) % 238.20/238.59 (define @t11 () (_ (_ @t10 @t8) @t7)) % 238.20/238.59 (define @t12 () (_ @t5 @t10)) % 238.20/238.59 (define @t13 () (@var "Xy1" tptp.a)) % 238.20/238.59 (define @t14 () (@var "Xx1" tptp.a)) % 238.20/238.59 (define @t15 () (_ (_ @t10 @t14) @t13)) % 238.20/238.59 (define @t16 () (@var "S" (-> tptp.a tptp.a Bool))) % 238.20/238.59 (define @t17 () (_ (_ @t16 @t14) @t13)) % 238.20/238.59 (define @t18 () (@list @t14 @t13)) % 238.20/238.59 (define @t19 () (forall @t18 (=> @t17 @t15))) % 238.20/238.59 (define @t20 () (and @t19 @t12)) % 238.20/238.59 (define @t21 () (=> @t20 @t11)) % 238.20/238.59 (define @t22 () (@list @t10)) % 238.20/238.59 (define @t23 () (forall @t22 @t21)) % 238.20/238.59 (define @t24 () (@var "R" (-> tptp.a tptp.a Bool))) % 238.20/238.59 (define @t25 () (_ (_ @t24 @t14) @t13)) % 238.20/238.59 (define @t26 () (forall @t18 (=> @t25 @t15))) % 238.20/238.59 (define @t27 () (and @t26 @t12)) % 238.20/238.59 (define @t28 () (=> @t27 @t11)) % 238.20/238.59 (define @t29 () (forall @t22 @t28)) % 238.20/238.59 (define @t30 () (or @t29 @t23)) % 238.20/238.59 (define @t31 () (=> @t30 @t9)) % 238.20/238.59 (define @t32 () (@list @t8 @t7)) % 238.20/238.59 (define @t33 () (forall @t32 @t31)) % 238.20/238.59 (define @t34 () (and @t33 @t6)) % 238.20/238.59 (define @t35 () (=> @t34 @t4)) % 238.20/238.59 (define @t36 () (@list @t3)) % 238.20/238.59 (define @t37 () (forall @t36 @t35)) % 238.20/238.59 (define @t38 () (@list @t2 @t1)) % 238.20/238.59 (define @t39 () (lambda @t38 @t37)) % 238.20/238.59 (define @t40 () (_ (_ @t16 @t8) @t7)) % 238.20/238.59 (define @t41 () (_ (_ @t24 @t8) @t7)) % 238.20/238.59 (define @t42 () (or @t41 @t40)) % 238.20/238.59 (define @t43 () (forall @t32 (=> @t42 @t9))) % 238.20/238.59 (define @t44 () (and @t43 @t6)) % 238.20/238.59 (define @t45 () (=> @t44 @t4)) % 238.20/238.59 (define @t46 () (forall @t36 @t45)) % 238.20/238.59 (define @t47 () (lambda @t38 @t46)) % 238.20/238.59 (define @t48 () (= @t47 @t39)) % 238.20/238.59 (define @t49 () (@list @t5 @t24 @t16)) % 238.20/238.59 (define @t50 () (forall @t49 @t48)) % 238.20/238.59 (define @t51 () (not @t50)) % 238.20/238.59 (define @t52 () (_ @t3 @t2 @t1)) % 238.20/238.59 (define @t53 () (_ @t5 @t3)) % 238.20/238.59 (define @t54 () (not @t6)) % 238.20/238.59 (define @t55 () (_ @t3 @t8 @t7)) % 238.20/238.59 (define @t56 () (_ @t10 @t8 @t7)) % 238.20/238.59 (define @t57 () (_ @t5 @t10)) % 238.20/238.59 (define @t58 () (not @t57)) % 238.20/238.59 (define @t59 () (_ @t10 @t14 @t13)) % 238.20/238.59 (define @t60 () (_ @t16 @t14 @t13)) % 238.20/238.59 (define @t61 () (forall @t18 (or (not @t60) @t59))) % 238.20/238.59 (define @t62 () (not @t61)) % 238.20/238.59 (define @t63 () (forall @t22 (or @t62 @t58 @t56))) % 238.20/238.59 (define @t64 () (_ @t24 @t14 @t13)) % 238.20/238.59 (define @t65 () (forall @t18 (or (not @t64) @t59))) % 238.20/238.59 (define @t66 () (not @t65)) % 238.20/238.59 (define @t67 () (forall @t22 (or @t66 @t58 @t56))) % 238.20/238.59 (define @t68 () (and (not @t67) (not @t63))) % 238.20/238.59 (define @t69 () (forall @t32 (or @t68 @t55))) % 238.20/238.59 (define @t70 () (not @t69)) % 238.20/238.59 (define @t71 () (or @t70 @t54 @t4)) % 238.20/238.59 (define @t72 () (and @t69 @t6)) % 238.20/238.59 (define @t73 () (or @t68 @t9)) % 238.20/238.59 (define @t74 () (or @t67 @t63)) % 238.20/238.59 (define @t75 () (not @t12)) % 238.20/238.59 (define @t76 () (or @t62 @t75 @t11)) % 238.20/238.59 (define @t77 () (and @t61 @t12)) % 238.20/238.59 (define @t78 () (not @t17)) % 238.20/238.59 (define @t79 () (or @t78 @t15)) % 238.20/238.59 (define @t80 () (or @t66 @t75 @t11)) % 238.20/238.59 (define @t81 () (and @t65 @t12)) % 238.20/238.59 (define @t82 () (not @t25)) % 238.20/238.59 (define @t83 () (or @t82 @t15)) % 238.20/238.59 (define @t84 () (_ @t16 @t8 @t7)) % 238.20/238.59 (define @t85 () (_ @t24 @t8 @t7)) % 238.20/238.59 (define @t86 () (forall @t32 (or (and (not @t85) (not @t84)) @t55))) % 238.20/238.59 (define @t87 () (not @t86)) % 238.20/238.59 (define @t88 () (or @t87 @t54 @t4)) % 238.20/238.59 (define @t89 () (and @t86 @t6)) % 238.20/238.59 (define @t90 () (not @t40)) % 238.20/238.59 (define @t91 () (not @t41)) % 238.20/238.59 (define @t92 () (and @t91 @t90)) % 238.20/238.59 (define @t93 () (or @t92 @t9)) % 238.20/238.59 (define @t94 () (not @t53)) % 238.20/238.59 (define @t95 () (forall @t49 (= (lambda @t38 (forall @t36 (or @t87 @t94 @t52))) (lambda @t38 (forall @t36 (or @t70 @t94 @t52)))))) % 238.20/238.59 (define @t96 () (@quantifiers_skolemize @t95 0)) % 238.20/238.59 (define @t97 () (not (_ @t96 @t3))) % 238.20/238.59 (define @t98 () (@quantifiers_skolemize @t95 2)) % 238.20/238.59 (define @t99 () (@quantifiers_skolemize @t95 1)) % 238.20/238.59 (define @t100 () (and (not (_ @t99 @t8 @t7)) (not (_ @t98 @t8 @t7)))) % 238.20/238.59 (define @t101 () (not (forall @t32 (or @t100 @t55)))) % 238.20/238.59 (define @t102 () (lambda @t38 (forall @t36 (or @t101 @t97 @t52)))) % 238.20/238.59 (define @t103 () (@purify @t102)) % 238.20/238.59 (define @t104 () (not (_ @t96 @t10))) % 238.20/238.59 (define @t105 () (not (_ @t98 @t14 @t13))) % 238.20/238.59 (define @t106 () (not (forall @t18 (or @t105 @t59)))) % 238.20/238.59 (define @t107 () (not (_ @t99 @t14 @t13))) % 238.20/238.59 (define @t108 () (not (forall @t18 (or @t107 @t59)))) % 238.20/238.59 (define @t109 () (and (not (forall @t22 (or @t108 @t104 @t56))) (not (forall @t22 (or @t106 @t104 @t56))))) % 238.20/238.59 (define @t110 () (not (forall @t32 (or @t109 @t55)))) % 238.20/238.59 (define @t111 () (lambda @t38 (forall @t36 (or @t110 @t97 @t52)))) % 238.20/238.59 (define @t112 () (@purify @t111)) % 238.20/238.59 (define @t113 () (= @t112 @t103)) % 238.20/238.59 (define @t114 () (not @t113)) % 238.20/238.59 (define @t115 () (not @t95)) % 238.20/238.59 (define @t116 () (= @t102 @t111)) % 238.20/238.59 (define @t117 () (not @t116)) % 238.20/238.59 (define @t118 () (@list true)) % 238.20/238.59 (define @t119 () (@const 0 tptp.a)) % 238.20/238.59 (define @t120 () (@const 1 tptp.a)) % 238.20/238.59 (define @t121 () (_ @t3 @t120 @t119)) % 238.20/238.59 (define @t122 () (forall @t36 (or @t110 @t97 @t121))) % 238.20/238.59 (define @t123 () (forall @t36 (or @t101 @t97 @t121))) % 238.20/238.59 (define @t124 () (_ @t102 @t120 @t119)) % 238.20/238.59 (define @t125 () (_ @t103 @t120 @t119)) % 238.20/238.59 (define @t126 () (_ @t111 @t120 @t119)) % 238.20/238.59 (define @t127 () (_ @t112 @t120 @t119)) % 238.20/238.59 (define @t128 () (= @t127 @t125)) % 238.20/238.59 (define @t129 () (not @t128)) % 238.20/238.59 (define @t130 () (or @t113 @t129)) % 238.20/238.59 (define @t131 () (= @t123 @t122)) % 238.20/238.59 (define @t132 () (@quantifiers_skolemize @t122 0)) % 238.20/238.59 (define @t133 () (_ @t132 @t120 @t119)) % 238.20/238.59 (define @t134 () (_ @t96 @t132)) % 238.20/238.59 (define @t135 () (not @t134)) % 238.20/238.59 (define @t136 () (_ @t132 @t8 @t7)) % 238.20/238.59 (define @t137 () (forall @t32 (or @t100 @t136))) % 238.20/238.59 (define @t138 () (not @t137)) % 238.20/238.59 (define @t139 () (or @t138 @t135 @t133)) % 238.20/238.59 (define @t140 () (forall @t32 (or @t109 @t136))) % 238.20/238.59 (define @t141 () (not @t140)) % 238.20/238.59 (define @t142 () (or @t141 @t135 @t133)) % 238.20/238.59 (define @t143 () (not @t142)) % 238.20/238.59 (define @t144 () (not @t122)) % 238.20/238.59 (define @t145 () (@quantifiers_skolemize @t137 1)) % 238.20/238.59 (define @t146 () (@quantifiers_skolemize @t137 0)) % 238.20/238.59 (define @t147 () (@list @t146 @t145)) % 238.20/238.59 (define @t148 () (_ @t132 @t146 @t145)) % 238.20/238.59 (define @t149 () (_ @t10 @t146 @t145)) % 238.20/238.59 (define @t150 () (forall @t22 (or @t106 @t104 @t149))) % 238.20/238.59 (define @t151 () (not @t150)) % 238.20/238.59 (define @t152 () (forall @t22 (or @t108 @t104 @t149))) % 238.20/238.59 (define @t153 () (not @t152)) % 238.20/238.59 (define @t154 () (and @t153 @t151)) % 238.20/238.59 (define @t155 () (or @t154 @t148)) % 238.20/238.59 (define @t156 () (_ @t98 @t146 @t145)) % 238.20/238.59 (define @t157 () (not @t156)) % 238.20/238.59 (define @t158 () (_ @t99 @t146 @t145)) % 238.20/238.59 (define @t159 () (not @t158)) % 238.20/238.59 (define @t160 () (and @t159 @t157)) % 238.20/238.59 (define @t161 () (or @t160 @t148)) % 238.20/238.59 (define @t162 () (not @t161)) % 238.20/238.59 (define @t163 () (not @t154)) % 238.20/238.59 (define @t164 () (@quantifiers_skolemize @t152 0)) % 238.20/238.59 (define @t165 () (_ @t164 @t146 @t145)) % 238.20/238.59 (define @t166 () (forall @t18 (or @t107 (_ @t164 @t14 @t13)))) % 238.20/238.59 (define @t167 () (not @t166)) % 238.20/238.59 (define @t168 () (or @t167 (not (_ @t96 @t164)) @t165)) % 238.20/238.59 (define @t169 () (not @t168)) % 238.20/238.59 (define @t170 () (@quantifiers_skolemize @t150 0)) % 238.20/238.59 (define @t171 () (_ @t170 @t146 @t145)) % 238.20/238.59 (define @t172 () (forall @t18 (or @t105 (_ @t170 @t14 @t13)))) % 238.20/238.59 (define @t173 () (not @t172)) % 238.20/238.59 (define @t174 () (or @t173 (not (_ @t96 @t170)) @t171)) % 238.20/238.59 (define @t175 () (not @t174)) % 238.20/238.59 (define @t176 () (or @t159 @t165)) % 238.20/238.59 (define @t177 () (or @t157 @t171)) % 238.20/238.59 (define @t178 () (not @t123)) % 238.20/238.59 (define @t179 () (@list true true)) % 238.20/238.59 (define @t180 () (@quantifiers_skolemize @t123 0)) % 238.20/238.59 (define @t181 () (@list @t180)) % 238.20/238.59 (define @t182 () (_ @t180 @t120 @t119)) % 238.20/238.59 (define @t183 () (_ @t96 @t180)) % 238.20/238.59 (define @t184 () (not @t183)) % 238.20/238.59 (define @t185 () (_ @t180 @t8 @t7)) % 238.20/238.59 (define @t186 () (forall @t32 (or @t109 @t185))) % 238.20/238.59 (define @t187 () (not @t186)) % 238.20/238.59 (define @t188 () (or @t187 @t184 @t182)) % 238.20/238.59 (define @t189 () (@list false)) % 238.20/238.59 (define @t190 () (forall @t32 (or @t100 @t185))) % 238.20/238.59 (define @t191 () (not @t190)) % 238.20/238.59 (define @t192 () (or @t191 @t184 @t182)) % 238.20/238.59 (define @t193 () (not @t192)) % 238.20/238.59 (define @t194 () (@list @t192)) % 238.20/238.59 (define @t195 () (@quantifiers_skolemize @t186 1)) % 238.20/238.59 (define @t196 () (@quantifiers_skolemize @t186 0)) % 238.20/238.59 (define @t197 () (_ @t180 @t196 @t195)) % 238.20/238.59 (define @t198 () (_ @t10 @t196 @t195)) % 238.20/238.59 (define @t199 () (forall @t22 (or @t106 @t104 @t198))) % 238.20/238.59 (define @t200 () (not @t199)) % 238.20/238.59 (define @t201 () (forall @t22 (or @t108 @t104 @t198))) % 238.20/238.59 (define @t202 () (not @t201)) % 238.20/238.59 (define @t203 () (and @t202 @t200)) % 238.20/238.59 (define @t204 () (or @t203 @t197)) % 238.20/238.59 (define @t205 () (not @t204)) % 238.20/238.59 (define @t206 () (@list @t204)) % 238.20/238.59 (define @t207 () (_ @t180 @t14 @t13)) % 238.20/238.59 (define @t208 () (forall @t18 (or @t107 @t207))) % 238.20/238.59 (define @t209 () (@quantifiers_skolemize @t208 1)) % 238.20/238.59 (define @t210 () (@quantifiers_skolemize @t208 0)) % 238.20/238.59 (define @t211 () (_ @t99 @t210 @t209)) % 238.20/238.59 (define @t212 () (_ @t180 @t210 @t209)) % 238.20/238.59 (define @t213 () (not @t211)) % 238.20/238.59 (define @t214 () (or @t213 @t212)) % 238.20/238.59 (define @t215 () (and @t213 (not (_ @t98 @t210 @t209)))) % 238.20/238.59 (define @t216 () (or @t215 @t212)) % 238.20/238.59 (define @t217 () (@list @t190)) % 238.20/238.59 (define @t218 () (@list false true true false)) % 238.20/238.59 (define @t219 () (not @t214)) % 238.20/238.59 (define @t220 () (not @t208)) % 238.20/238.59 (define @t221 () (or @t220 @t184 @t197)) % 238.20/238.59 (define @t222 () (not @t221)) % 238.20/238.59 (define @t223 () (@list false false true)) % 238.20/238.59 (define @t224 () (forall @t18 (or @t105 @t207))) % 238.20/238.59 (define @t225 () (@quantifiers_skolemize @t224 1)) % 238.20/238.59 (define @t226 () (@quantifiers_skolemize @t224 0)) % 238.20/238.59 (define @t227 () (_ @t98 @t226 @t225)) % 238.20/238.59 (define @t228 () (_ @t180 @t226 @t225)) % 238.20/238.59 (define @t229 () (not @t227)) % 238.20/238.59 (define @t230 () (or @t229 @t228)) % 238.20/238.59 (define @t231 () (and (not (_ @t99 @t226 @t225)) @t229)) % 238.20/238.59 (define @t232 () (or @t231 @t228)) % 238.20/238.59 (define @t233 () (not @t230)) % 238.20/238.59 (define @t234 () (not @t224)) % 238.20/238.59 (define @t235 () (or @t234 @t184 @t197)) % 238.20/238.59 (define @t236 () (not @t235)) % 238.20/238.59 (assume @p1 @t51) % 238.20/238.59 (assume @p2 true) % 238.20/238.59 (step @p3 :rule refl :args (@t52)) % 238.20/238.59 (step @p4 :rule refl :args (@t4)) % 238.20/238.59 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t52))) % 238.20/238.59 (step @p6 :rule symm :premises (@p5)) % 238.20/238.59 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 238.20/238.59 (step @p8 :rule refl :args (@t53)) % 238.20/238.59 (step @p9 :rule refl :args (@t6)) % 238.20/238.59 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t6 @t53))) % 238.20/238.59 (step @p11 :rule symm :premises (@p10)) % 238.20/238.59 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 238.20/238.59 (step @p13 :rule cong :premises (@p12) :args (@t54)) % 238.20/238.59 (step @p14 :rule refl :args (@t70)) % 238.20/238.59 (step @p15 :rule nary_cong :premises (@p14 @p13 @p7) :args (@t71)) % 238.20/238.59 (step @p16 :rule cong :premises (@p15) :args ((forall @t36 @t71))) % 238.20/238.59 (step @p17 :rule aci_norm :args ((= (or (or @t70 @t54) @t4) @t71))) % 238.20/238.59 (step @p18 :rule bool-and-de-morgan :args (@t69 @t6 true)) % 238.20/238.59 (step @p19 :rule nary_cong :premises (@p18 @p4) :args ((or (not @t72) @t4))) % 238.20/238.59 (step @p20 :rule trans :premises (@p19 @p17)) % 238.20/238.59 (step @p21 :rule bool-impl-elim :args (@t72 @t4)) % 238.20/238.59 (step @p22 :rule trans :premises (@p21 @p20)) % 238.20/238.59 (step @p23 :rule cong :premises (@p22) :args ((forall @t36 (=> @t72 @t4)))) % 238.20/238.59 (step @p24 :rule trans :premises (@p23 @p16)) % 238.20/238.59 (step @p25 :rule refl :args (@t4)) % 238.20/238.59 (step @p26 :rule refl :args (@t6)) % 238.20/238.59 (step @p27 :rule refl :args (@t55)) % 238.20/238.59 (step @p28 :rule refl :args (@t9)) % 238.20/238.59 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t9 @t55))) % 238.20/238.59 (step @p30 :rule symm :premises (@p29)) % 238.20/238.59 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 238.20/238.59 (step @p32 :rule refl :args (@t68)) % 238.20/238.59 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t73)) % 238.20/238.59 (step @p34 :rule cong :premises (@p33) :args ((forall @t32 @t73))) % 238.20/238.59 (step @p35 :rule bool-or-de-morgan :args (@t67 @t63 false)) % 238.20/238.59 (step @p36 :rule nary_cong :premises (@p35 @p28) :args ((or (not @t74) @t9))) % 238.20/238.59 (step @p37 :rule bool-impl-elim :args (@t74 @t9)) % 238.20/238.59 (step @p38 :rule trans :premises (@p37 @p36)) % 238.20/238.59 (step @p39 :rule cong :premises (@p38) :args ((forall @t32 (=> @t74 @t9)))) % 238.20/238.59 (step @p40 :rule trans :premises (@p39 @p34)) % 238.20/238.59 (step @p41 :rule refl :args (@t9)) % 238.20/238.59 (step @p42 :rule refl :args (@t56)) % 238.20/238.59 (step @p43 :rule refl :args (@t11)) % 238.20/238.59 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t11 @t56))) % 238.20/238.59 (step @p45 :rule symm :premises (@p44)) % 238.20/238.59 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 238.20/238.59 (step @p47 :rule refl :args (@t57)) % 238.20/238.59 (step @p48 :rule refl :args (@t12)) % 238.20/238.59 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t12 @t57))) % 238.20/238.59 (step @p50 :rule symm :premises (@p49)) % 238.20/238.59 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 238.20/238.59 (step @p52 :rule cong :premises (@p51) :args (@t75)) % 238.20/238.59 (step @p53 :rule refl :args (@t62)) % 238.20/238.59 (step @p54 :rule nary_cong :premises (@p53 @p52 @p46) :args (@t76)) % 238.20/238.59 (step @p55 :rule cong :premises (@p54) :args ((forall @t22 @t76))) % 238.20/238.59 (step @p56 :rule aci_norm :args ((= (or (or @t62 @t75) @t11) @t76))) % 238.20/238.59 (step @p57 :rule bool-and-de-morgan :args (@t61 @t12 true)) % 238.20/238.59 (step @p58 :rule nary_cong :premises (@p57 @p43) :args ((or (not @t77) @t11))) % 238.20/238.59 (step @p59 :rule trans :premises (@p58 @p56)) % 238.20/238.59 (step @p60 :rule bool-impl-elim :args (@t77 @t11)) % 238.20/238.59 (step @p61 :rule trans :premises (@p60 @p59)) % 238.20/238.59 (step @p62 :rule cong :premises (@p61) :args ((forall @t22 (=> @t77 @t11)))) % 238.20/238.59 (step @p63 :rule trans :premises (@p62 @p55)) % 238.20/238.59 (step @p64 :rule refl :args (@t11)) % 238.20/238.59 (step @p65 :rule refl :args (@t12)) % 238.20/238.59 (step @p66 :rule refl :args (@t59)) % 238.20/238.59 (step @p67 :rule refl :args (@t15)) % 238.20/238.59 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t15 @t59))) % 238.20/238.59 (step @p69 :rule symm :premises (@p68)) % 238.20/238.59 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 238.20/238.59 (step @p71 :rule refl :args (@t60)) % 238.20/238.59 (step @p72 :rule refl :args (@t17)) % 238.20/238.59 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t17 @t60))) % 238.20/238.59 (step @p74 :rule symm :premises (@p73)) % 238.20/238.59 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 238.20/238.59 (step @p76 :rule cong :premises (@p75) :args (@t78)) % 238.20/238.59 (step @p77 :rule nary_cong :premises (@p76 @p70) :args (@t79)) % 238.20/238.59 (step @p78 :rule cong :premises (@p77) :args ((forall @t18 @t79))) % 238.20/238.59 (step @p79 :rule bool-impl-elim :args (@t17 @t15)) % 238.20/238.59 (step @p80 :rule cong :premises (@p79) :args (@t19)) % 238.20/238.59 (step @p81 :rule trans :premises (@p80 @p78)) % 238.20/238.59 (step @p82 :rule nary_cong :premises (@p81 @p65) :args (@t20)) % 238.20/238.59 (step @p83 :rule cong :premises (@p82 @p64) :args (@t21)) % 238.20/238.59 (step @p84 :rule cong :premises (@p83) :args (@t23)) % 238.20/238.59 (step @p85 :rule trans :premises (@p84 @p63)) % 238.20/238.59 (step @p86 :rule refl :args (@t66)) % 238.20/238.59 (step @p87 :rule nary_cong :premises (@p86 @p52 @p46) :args (@t80)) % 238.20/238.59 (step @p88 :rule cong :premises (@p87) :args ((forall @t22 @t80))) % 238.20/238.59 (step @p89 :rule aci_norm :args ((= (or (or @t66 @t75) @t11) @t80))) % 238.20/238.59 (step @p90 :rule bool-and-de-morgan :args (@t65 @t12 true)) % 238.20/238.59 (step @p91 :rule nary_cong :premises (@p90 @p43) :args ((or (not @t81) @t11))) % 238.20/238.59 (step @p92 :rule trans :premises (@p91 @p89)) % 238.20/238.59 (step @p93 :rule bool-impl-elim :args (@t81 @t11)) % 238.20/238.59 (step @p94 :rule trans :premises (@p93 @p92)) % 238.20/238.59 (step @p95 :rule cong :premises (@p94) :args ((forall @t22 (=> @t81 @t11)))) % 238.20/238.59 (step @p96 :rule trans :premises (@p95 @p88)) % 238.20/238.59 (step @p97 :rule refl :args (@t64)) % 238.20/238.59 (step @p98 :rule refl :args (@t25)) % 238.20/238.59 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t25 @t64))) % 238.20/238.59 (step @p100 :rule symm :premises (@p99)) % 238.20/238.59 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 238.20/238.59 (step @p102 :rule cong :premises (@p101) :args (@t82)) % 238.20/238.59 (step @p103 :rule nary_cong :premises (@p102 @p70) :args (@t83)) % 238.20/238.59 (step @p104 :rule cong :premises (@p103) :args ((forall @t18 @t83))) % 238.20/238.59 (step @p105 :rule bool-impl-elim :args (@t25 @t15)) % 238.20/238.59 (step @p106 :rule cong :premises (@p105) :args (@t26)) % 238.20/238.59 (step @p107 :rule trans :premises (@p106 @p104)) % 238.20/238.59 (step @p108 :rule nary_cong :premises (@p107 @p65) :args (@t27)) % 238.20/238.59 (step @p109 :rule cong :premises (@p108 @p64) :args (@t28)) % 238.20/238.59 (step @p110 :rule cong :premises (@p109) :args (@t29)) % 238.20/238.59 (step @p111 :rule trans :premises (@p110 @p96)) % 238.20/238.59 (step @p112 :rule nary_cong :premises (@p111 @p85) :args (@t30)) % 238.20/238.59 (step @p113 :rule cong :premises (@p112 @p41) :args (@t31)) % 238.20/238.59 (step @p114 :rule cong :premises (@p113) :args (@t33)) % 238.20/238.59 (step @p115 :rule trans :premises (@p114 @p40)) % 238.20/238.59 (step @p116 :rule nary_cong :premises (@p115 @p26) :args (@t34)) % 238.20/238.59 (step @p117 :rule cong :premises (@p116 @p25) :args (@t35)) % 238.20/238.59 (step @p118 :rule cong :premises (@p117) :args (@t37)) % 238.20/238.59 (step @p119 :rule trans :premises (@p118 @p24)) % 238.20/238.59 (step @p120 :rule cong :premises (@p119) :args (@t39)) % 238.20/238.59 (step @p121 :rule refl :args (@t87)) % 238.20/238.59 (step @p122 :rule nary_cong :premises (@p121 @p13 @p7) :args (@t88)) % 238.20/238.59 (step @p123 :rule cong :premises (@p122) :args ((forall @t36 @t88))) % 238.20/238.59 (step @p124 :rule aci_norm :args ((= (or (or @t87 @t54) @t4) @t88))) % 238.20/238.59 (step @p125 :rule bool-and-de-morgan :args (@t86 @t6 true)) % 238.20/238.59 (step @p126 :rule nary_cong :premises (@p125 @p4) :args ((or (not @t89) @t4))) % 238.20/238.59 (step @p127 :rule trans :premises (@p126 @p124)) % 238.20/238.59 (step @p128 :rule bool-impl-elim :args (@t89 @t4)) % 238.20/238.59 (step @p129 :rule trans :premises (@p128 @p127)) % 238.20/238.59 (step @p130 :rule cong :premises (@p129) :args ((forall @t36 (=> @t89 @t4)))) % 238.20/238.59 (step @p131 :rule trans :premises (@p130 @p123)) % 238.20/238.59 (step @p132 :rule refl :args (@t84)) % 238.20/238.59 (step @p133 :rule refl :args (@t40)) % 238.20/238.59 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t40 @t84))) % 238.20/238.59 (step @p135 :rule symm :premises (@p134)) % 238.20/238.59 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 238.20/238.59 (step @p137 :rule cong :premises (@p136) :args (@t90)) % 238.20/238.59 (step @p138 :rule refl :args (@t85)) % 238.20/238.59 (step @p139 :rule refl :args (@t41)) % 238.20/238.59 (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t41 @t85))) % 238.20/238.59 (step @p141 :rule symm :premises (@p140)) % 238.20/238.59 (step @p142 :rule eq_resolve :premises (@p139 @p141)) % 238.20/238.59 (step @p143 :rule cong :premises (@p142) :args (@t91)) % 238.20/238.59 (step @p144 :rule nary_cong :premises (@p143 @p137) :args (@t92)) % 238.20/238.59 (step @p145 :rule nary_cong :premises (@p144 @p31) :args (@t93)) % 238.20/238.59 (step @p146 :rule cong :premises (@p145) :args ((forall @t32 @t93))) % 238.20/238.59 (step @p147 :rule bool-or-de-morgan :args (@t41 @t40 false)) % 238.20/238.59 (step @p148 :rule nary_cong :premises (@p147 @p28) :args ((or (not @t42) @t9))) % 238.20/238.59 (step @p149 :rule bool-impl-elim :args (@t42 @t9)) % 238.20/238.59 (step @p150 :rule trans :premises (@p149 @p148)) % 238.20/238.59 (step @p151 :rule cong :premises (@p150) :args (@t43)) % 238.20/238.59 (step @p152 :rule trans :premises (@p151 @p146)) % 238.20/238.59 (step @p153 :rule nary_cong :premises (@p152 @p26) :args (@t44)) % 238.20/238.59 (step @p154 :rule cong :premises (@p153 @p25) :args (@t45)) % 238.20/238.59 (step @p155 :rule cong :premises (@p154) :args (@t46)) % 238.20/238.59 (step @p156 :rule trans :premises (@p155 @p131)) % 238.20/238.59 (step @p157 :rule cong :premises (@p156) :args (@t47)) % 238.20/238.59 (step @p158 :rule cong :premises (@p157 @p120) :args (@t48)) % 238.20/238.59 (step @p159 :rule cong :premises (@p158) :args (@t50)) % 238.20/238.59 (step @p160 :rule cong :premises (@p159) :args (@t51)) % 238.20/238.59 (step @p161 :rule eq_resolve :premises (@p1 @p160)) % 238.20/238.59 (step @p162 :rule refl :args (@t114)) % 238.20/238.59 (step @p163 :rule bool-double-not-elim :args (@t95)) % 238.20/238.59 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t115) @t114))) % 238.20/238.59 (step @p165 :rule eq-symm :args (@t103 @t112)) % 238.20/238.59 (step @p166 :rule eq-refl :args (@t111)) % 238.20/238.59 (step @p167 :rule skolem_intro :args (@t112)) % 238.20/238.59 (step @p168 :rule refl :args (@t111)) % 238.20/238.59 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t111 @t112))) % 238.20/238.59 (step @p170 :rule trans :premises (@p169 @p166)) % 238.20/238.59 (step @p171 :rule true_elim :premises (@p170)) % 238.20/238.59 (step @p172 :rule eq-refl :args (@t102)) % 238.20/238.59 (step @p173 :rule skolem_intro :args (@t103)) % 238.20/238.59 (step @p174 :rule refl :args (@t102)) % 238.20/238.59 (step @p175 :rule cong :premises (@p174 @p173) :args ((= @t102 @t103))) % 238.20/238.59 (step @p176 :rule trans :premises (@p175 @p172)) % 238.20/238.59 (step @p177 :rule true_elim :premises (@p176)) % 238.20/238.59 (step @p178 :rule cong :premises (@p177 @p171) :args (@t116)) % 238.20/238.59 (step @p179 :rule trans :premises (@p178 @p165)) % 238.20/238.59 (step @p180 :rule cong :premises (@p179) :args (@t117)) % 238.20/238.59 (step @p181 :rule refl :args (@t115)) % 238.20/238.59 (step @p182 :rule cong :premises (@p181 @p180) :args ((=> @t115 @t117))) % 238.20/238.59 (assume-push @p462 @t115) % 238.20/238.59 (step @p184 :rule skolemize :premises (@p161)) % 238.20/238.59 (step-pop @p463 :rule scope :premises (@p184)) % 238.20/238.59 (step @p185 :rule process_scope :premises (@p463) :args (@t117)) % 238.20/238.59 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 238.20/238.59 (step @p188 :rule implies_elim :premises (@p187)) % 238.20/238.59 (step @p189 :rule eq_resolve :premises (@p188 @p164)) % 238.20/238.59 (step @p190 :rule chain_m_resolution :premises (@p189 @p161) :args (@t114 @t118 (@list @t95))) % 238.20/238.59 (step @p191 :rule eq-symm :args (@t122 @t123)) % 238.20/238.59 (step @p192 :rule eq-refl :args (@t123)) % 238.20/238.59 (step @p193 :rule beta-reduce :args ((= @t124 @t123))) % 238.20/238.59 (step @p194 :rule refl :args (@t123)) % 238.20/238.59 (step @p195 :rule cong :premises (@p194 @p193) :args ((= @t123 @t124))) % 238.20/238.59 (step @p196 :rule trans :premises (@p195 @p192)) % 238.20/238.59 (step @p197 :rule eq-symm :args (@t124 @t123)) % 238.20/238.59 (step @p198 :rule trans :premises (@p197 @p196)) % 238.20/238.59 (step @p199 :rule refl :args (@t119)) % 238.20/238.59 (step @p200 :rule refl :args (@t120)) % 238.20/238.59 (step @p201 :rule ho_cong :premises (@p173 @p200 @p199)) % 238.20/238.59 (step @p202 :rule cong :premises (@p201 @p194) :args ((= @t125 @t123))) % 238.20/238.59 (step @p203 :rule trans :premises (@p202 @p198)) % 238.20/238.59 (step @p204 :rule true_elim :premises (@p203)) % 238.20/238.59 (step @p205 :rule eq-refl :args (@t122)) % 238.20/238.59 (step @p206 :rule beta-reduce :args ((= @t126 @t122))) % 238.20/238.59 (step @p207 :rule refl :args (@t122)) % 238.20/238.59 (step @p208 :rule cong :premises (@p207 @p206) :args ((= @t122 @t126))) % 238.20/238.59 (step @p209 :rule trans :premises (@p208 @p205)) % 238.20/238.59 (step @p210 :rule eq-symm :args (@t126 @t122)) % 238.20/238.59 (step @p211 :rule trans :premises (@p210 @p209)) % 238.20/238.59 (step @p212 :rule ho_cong :premises (@p167 @p200 @p199)) % 238.20/238.59 (step @p213 :rule cong :premises (@p212 @p207) :args ((= @t127 @t122))) % 238.20/238.59 (step @p214 :rule trans :premises (@p213 @p211)) % 238.20/238.59 (step @p215 :rule true_elim :premises (@p214)) % 238.20/238.59 (step @p216 :rule cong :premises (@p215 @p204) :args (@t128)) % 238.20/238.59 (step @p217 :rule trans :premises (@p216 @p191)) % 238.20/238.59 (step @p218 :rule cong :premises (@p217) :args (@t129)) % 238.20/238.59 (step @p219 :rule refl :args (@t113)) % 238.20/238.59 (step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t130)) % 238.20/238.59 ; WARNING: add trust step for TRUST % 238.20/238.59 ; trust TRUST THEORY_LEMMA % 238.20/238.59 (step @p221 :rule trust :premises () :args (@t130)) % 238.20/238.59 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 238.20/238.59 (step @p223 :rule chain_m_resolution :premises (@p222 @p190) :args ((not @t131) @t118 (@list @t113))) % 238.20/238.59 (step @p224 :rule cnf_equiv_neg2 :args (@t131)) % 238.20/238.59 (assume-push @p464 @t123) % 238.20/238.59 (step @p226 :rule instantiate :premises (@p464) :args ((@list @t132))) % 238.20/238.59 (step-pop @p465 :rule scope :premises (@p226)) % 238.20/238.59 (step @p227 :rule process_scope :premises (@p465) :args (@t139)) % 238.20/238.59 (step @p229 :rule implies_elim :premises (@p227)) % 238.20/238.59 (step @p230 :rule refl :args (@t143)) % 238.20/238.59 (step @p231 :rule bool-double-not-elim :args (@t122)) % 238.20/238.59 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or (not @t144) @t143))) % 238.20/238.59 (assume-push @p466 @t144) % 238.20/238.59 (step @p234 :rule skolemize :premises (@p466)) % 238.20/238.59 (step-pop @p467 :rule scope :premises (@p234)) % 238.20/238.59 (step @p235 :rule process_scope :premises (@p467) :args (@t143)) % 238.20/238.59 (step @p237 :rule implies_elim :premises (@p235)) % 238.20/238.59 (step @p238 :rule eq_resolve :premises (@p237 @p232)) % 238.20/238.59 (step @p239 :rule bool-double-not-elim :args (@t140)) % 238.20/238.59 (step @p240 :rule refl :args (@t142)) % 238.20/238.59 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t142 (not @t141)))) % 238.20/238.59 (step @p242 :rule cnf_or_neg :args (@t142 0)) % 238.20/238.59 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 238.20/238.59 (step @p244 :rule reordering :premises (@p243) :args ((or @t140 @t142))) % 238.20/238.59 (step @p245 :rule bool-double-not-elim :args (@t134)) % 238.20/238.59 (step @p246 :rule nary_cong :premises (@p240 @p245) :args ((or @t142 (not @t135)))) % 238.20/238.59 (step @p247 :rule cnf_or_neg :args (@t142 1)) % 238.20/238.59 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 238.20/238.59 (step @p249 :rule reordering :premises (@p248) :args ((or @t134 @t142))) % 238.20/238.59 (step @p250 :rule cnf_or_neg :args (@t142 2)) % 238.20/238.59 (assume-push @p468 @t140) % 238.20/238.59 (step @p252 :rule instantiate :premises (@p468) :args (@t147)) % 238.20/238.59 (step-pop @p469 :rule scope :premises (@p252)) % 238.20/238.59 (step @p253 :rule process_scope :premises (@p469) :args (@t155)) % 238.20/238.59 (step @p255 :rule implies_elim :premises (@p253)) % 238.20/238.59 (step @p256 :rule cnf_or_pos :args (@t139)) % 238.20/238.59 (step @p257 :rule reordering :premises (@p256) :args ((or @t135 @t133 @t138 (not @t139)))) % 238.20/238.59 (step @p258 :rule refl :args (@t162)) % 238.20/238.59 (step @p259 :rule bool-double-not-elim :args (@t137)) % 238.20/238.59 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or (not @t138) @t162))) % 238.20/238.59 (assume-push @p470 @t138) % 238.20/238.59 (step @p262 :rule skolemize :premises (@p470)) % 238.20/238.59 (step-pop @p471 :rule scope :premises (@p262)) % 238.20/238.59 (step @p263 :rule process_scope :premises (@p471) :args (@t162)) % 238.20/238.59 (step @p265 :rule implies_elim :premises (@p263)) % 238.20/238.59 (step @p266 :rule eq_resolve :premises (@p265 @p260)) % 238.20/238.59 (step @p267 :rule cnf_or_neg :args (@t161 0)) % 238.20/238.59 (step @p268 :rule cnf_or_neg :args (@t161 1)) % 238.20/238.59 (step @p269 :rule cnf_or_pos :args (@t155)) % 238.20/238.59 (step @p270 :rule reordering :premises (@p269) :args ((or @t148 @t154 (not @t155)))) % 238.20/238.59 (step @p271 :rule cnf_and_pos :args (@t154 0)) % 238.20/238.59 (step @p272 :rule reordering :premises (@p271) :args ((or @t153 @t163))) % 238.20/238.59 (step @p273 :rule cnf_and_pos :args (@t154 1)) % 238.20/238.59 (step @p274 :rule reordering :premises (@p273) :args ((or @t151 @t163))) % 238.20/238.59 (step @p275 :rule refl :args (@t169)) % 238.20/238.59 (step @p276 :rule bool-double-not-elim :args (@t152)) % 238.20/238.59 (step @p277 :rule nary_cong :premises (@p276 @p275) :args ((or (not @t153) @t169))) % 238.20/238.59 (assume-push @p472 @t153) % 238.20/238.59 (step @p279 :rule skolemize :premises (@p472)) % 238.20/238.59 (step-pop @p473 :rule scope :premises (@p279)) % 238.20/238.59 (step @p280 :rule process_scope :premises (@p473) :args (@t169)) % 238.20/238.59 (step @p282 :rule implies_elim :premises (@p280)) % 238.20/238.59 (step @p283 :rule eq_resolve :premises (@p282 @p277)) % 238.20/238.59 (step @p284 :rule refl :args (@t175)) % 238.20/238.59 (step @p285 :rule bool-double-not-elim :args (@t150)) % 238.20/238.59 (step @p286 :rule nary_cong :premises (@p285 @p284) :args ((or (not @t151) @t175))) % 238.20/238.59 (assume-push @p474 @t151) % 238.20/238.59 (step @p288 :rule skolemize :premises (@p474)) % 238.20/238.59 (step-pop @p475 :rule scope :premises (@p288)) % 238.20/238.59 (step @p289 :rule process_scope :premises (@p475) :args (@t175)) % 238.20/238.59 (step @p291 :rule implies_elim :premises (@p289)) % 238.20/238.59 (step @p292 :rule eq_resolve :premises (@p291 @p286)) % 238.20/238.59 (step @p293 :rule bool-double-not-elim :args (@t166)) % 238.20/238.59 (step @p294 :rule refl :args (@t168)) % 238.20/238.59 (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((or @t168 (not @t167)))) % 238.20/238.59 (step @p296 :rule cnf_or_neg :args (@t168 0)) % 238.20/238.59 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 238.20/238.59 (step @p298 :rule reordering :premises (@p297) :args ((or @t166 @t168))) % 238.20/238.59 (step @p299 :rule cnf_or_neg :args (@t168 2)) % 238.20/238.59 (step @p300 :rule bool-double-not-elim :args (@t172)) % 238.20/238.59 (step @p301 :rule refl :args (@t174)) % 238.20/238.59 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t174 (not @t173)))) % 238.20/238.59 (step @p303 :rule cnf_or_neg :args (@t174 0)) % 238.20/238.59 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 238.20/238.59 (step @p305 :rule reordering :premises (@p304) :args ((or @t172 @t174))) % 238.20/238.59 (step @p306 :rule cnf_or_neg :args (@t174 2)) % 238.20/238.59 (assume-push @p476 @t166) % 238.20/238.59 (step @p308 :rule instantiate :premises (@p476) :args (@t147)) % 238.20/238.59 (step-pop @p477 :rule scope :premises (@p308)) % 238.20/238.59 (step @p309 :rule process_scope :premises (@p477) :args (@t176)) % 238.20/238.59 (step @p311 :rule implies_elim :premises (@p309)) % 238.20/238.59 (step @p312 :rule cnf_or_pos :args (@t176)) % 238.20/238.59 (step @p313 :rule reordering :premises (@p312) :args ((or @t159 @t165 (not @t176)))) % 238.20/238.59 (step @p314 :rule bool-double-not-elim :args (@t156)) % 238.20/238.59 (step @p315 :rule bool-double-not-elim :args (@t158)) % 238.20/238.59 (step @p316 :rule refl :args (@t160)) % 238.20/238.59 (step @p317 :rule nary_cong :premises (@p316 @p315 @p314) :args ((or @t160 (not @t159) (not @t157)))) % 238.20/238.59 (step @p318 :rule cnf_and_neg :args (@t160)) % 238.20/238.59 (step @p319 :rule eq_resolve :premises (@p318 @p317)) % 238.20/238.59 (step @p320 :rule reordering :premises (@p319) :args ((or @t158 @t156 @t160))) % 238.20/238.59 (step @p321 :rule cnf_or_pos :args (@t177)) % 238.20/238.59 (step @p322 :rule reordering :premises (@p321) :args ((or @t157 @t171 (not @t177)))) % 238.20/238.59 (assume-push @p478 @t172) % 238.20/238.59 (step @p324 :rule instantiate :premises (@p478) :args (@t147)) % 238.20/238.59 (step-pop @p479 :rule scope :premises (@p324)) % 238.20/238.59 (step @p325 :rule process_scope :premises (@p479) :args (@t177)) % 238.20/238.59 (step @p327 :rule implies_elim :premises (@p325)) % 238.20/238.59 (step @p328 :rule chain_m_resolution :premises (@p327 @p322 @p320 @p313 @p311 @p306 @p305 @p299 @p298 @p292 @p283 @p274 @p272 @p270 @p268 @p267 @p266 @p257 @p255 @p250 @p249 @p244 @p238 @p229 @p224 @p223) :args (@t178 (@list true false true false true false true false true true true true false true true true true false true false false true false true true) (@list @t177 @t156 @t158 @t176 @t171 @t172 @t165 @t166 @t174 @t168 @t150 @t152 @t154 @t148 @t160 @t161 @t137 @t155 @t133 @t134 @t140 @t142 @t139 @t122 @t131))) % 238.20/238.59 (step @p329 :rule cnf_equiv_neg1 :args (@t131)) % 238.20/238.59 (step @p330 :rule reordering :premises (@p329) :args ((or @t123 @t122 @t131))) % 238.20/238.59 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p223) :args (@t122 @t179 (@list @t123 @t131))) % 238.20/238.59 (assume-push @p480 @t122) % 238.20/238.59 (step @p333 :rule instantiate :premises (@p480) :args (@t181)) % 238.20/238.59 (step-pop @p481 :rule scope :premises (@p333)) % 238.20/238.59 (step @p334 :rule process_scope :premises (@p481) :args (@t188)) % 238.20/238.59 (step @p336 :rule implies_elim :premises (@p334)) % 238.20/238.59 (step @p337 :rule chain_m_resolution :premises (@p336 @p331) :args (@t188 @t189 (@list @t122))) % 238.20/238.59 (step @p338 :rule refl :args (@t193)) % 238.20/238.59 (step @p339 :rule bool-double-not-elim :args (@t123)) % 238.20/238.59 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or (not @t178) @t193))) % 238.20/238.59 (assume-push @p482 @t178) % 238.20/238.59 (step @p342 :rule skolemize :premises (@p482)) % 238.20/238.59 (step-pop @p483 :rule scope :premises (@p342)) % 238.20/238.59 (step @p343 :rule process_scope :premises (@p483) :args (@t193)) % 238.20/238.59 (step @p345 :rule implies_elim :premises (@p343)) % 238.20/238.59 (step @p346 :rule eq_resolve :premises (@p345 @p340)) % 238.20/238.59 (step @p347 :rule chain_m_resolution :premises (@p346 @p328) :args (@t193 @t118 (@list @t123))) % 238.20/238.59 (step @p348 :rule cnf_or_neg :args (@t192 2)) % 238.20/238.59 (step @p349 :rule chain_m_resolution :premises (@p348 @p347) :args ((not @t182) @t118 @t194)) % 238.20/238.59 (step @p350 :rule bool-double-not-elim :args (@t183)) % 238.20/238.59 (step @p351 :rule refl :args (@t192)) % 238.20/238.59 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or @t192 (not @t184)))) % 238.20/238.59 (step @p353 :rule cnf_or_neg :args (@t192 1)) % 238.20/238.59 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 238.20/238.59 (step @p355 :rule reordering :premises (@p354) :args ((or @t183 @t192))) % 238.20/238.59 (step @p356 :rule chain_m_resolution :premises (@p355 @p347) :args (@t183 @t118 @t194)) % 238.20/238.59 (step @p357 :rule cnf_or_pos :args (@t188)) % 238.20/238.59 (step @p358 :rule reordering :premises (@p357) :args ((or @t184 @t182 @t187 (not @t188)))) % 238.20/238.59 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p349 @p337) :args (@t187 (@list false true false) (@list @t183 @t182 @t188))) % 238.20/238.59 (step @p360 :rule refl :args (@t205)) % 238.20/238.59 (step @p361 :rule bool-double-not-elim :args (@t186)) % 238.20/238.59 (step @p362 :rule nary_cong :premises (@p361 @p360) :args ((or (not @t187) @t205))) % 238.20/238.59 (assume-push @p484 @t187) % 238.20/238.59 (step @p364 :rule skolemize :premises (@p484)) % 238.20/238.59 (step-pop @p485 :rule scope :premises (@p364)) % 238.20/238.59 (step @p365 :rule process_scope :premises (@p485) :args (@t205)) % 238.20/238.59 (step @p367 :rule implies_elim :premises (@p365)) % 238.20/238.59 (step @p368 :rule eq_resolve :premises (@p367 @p362)) % 238.20/238.59 (step @p369 :rule chain_m_resolution :premises (@p368 @p359) :args (@t205 @t118 (@list @t186))) % 238.20/238.59 (step @p370 :rule cnf_or_neg :args (@t204 0)) % 238.20/238.59 (step @p371 :rule chain_m_resolution :premises (@p370 @p369) :args ((not @t203) @t118 @t206)) % 238.20/238.59 (step @p372 :rule cnf_or_neg :args (@t204 1)) % 238.20/238.59 (step @p373 :rule chain_m_resolution :premises (@p372 @p369) :args ((not @t197) @t118 @t206)) % 238.20/238.59 (step @p374 :rule bool-double-not-elim :args (@t211)) % 238.20/238.59 (step @p375 :rule refl :args (@t214)) % 238.20/238.59 (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or @t214 (not @t213)))) % 238.20/238.59 (step @p377 :rule cnf_or_neg :args (@t214 0)) % 238.20/238.59 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 238.20/238.59 (step @p379 :rule reordering :premises (@p378) :args ((or @t211 @t214))) % 238.20/238.59 (step @p380 :rule cnf_or_neg :args (@t214 1)) % 238.20/238.59 (step @p381 :rule cnf_and_pos :args (@t215 0)) % 238.20/238.59 (step @p382 :rule reordering :premises (@p381) :args ((or @t213 (not @t215)))) % 238.20/238.59 (step @p383 :rule bool-double-not-elim :args (@t190)) % 238.20/238.59 (step @p384 :rule nary_cong :premises (@p351 @p383) :args ((or @t192 (not @t191)))) % 238.20/238.59 (step @p385 :rule cnf_or_neg :args (@t192 0)) % 238.20/238.59 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 238.20/238.59 (step @p387 :rule reordering :premises (@p386) :args ((or @t190 @t192))) % 238.20/238.59 (step @p388 :rule chain_m_resolution :premises (@p387 @p347) :args (@t190 @t118 @t194)) % 238.20/238.59 (assume-push @p486 @t190) % 238.20/238.59 (step @p390 :rule instantiate :premises (@p486) :args ((@list @t210 @t209))) % 238.20/238.59 (step-pop @p487 :rule scope :premises (@p390)) % 238.20/238.59 (step @p391 :rule process_scope :premises (@p487) :args (@t216)) % 238.20/238.59 (step @p393 :rule implies_elim :premises (@p391)) % 238.20/238.59 (step @p394 :rule chain_m_resolution :premises (@p393 @p388) :args (@t216 @t189 @t217)) % 238.20/238.59 (step @p395 :rule cnf_or_pos :args (@t216)) % 238.20/238.59 (step @p396 :rule reordering :premises (@p395) :args ((or @t212 @t215 (not @t216)))) % 238.20/238.59 (step @p397 :rule chain_m_resolution :premises (@p396 @p394 @p382 @p380 @p379) :args (@t214 @t218 (@list @t216 @t215 @t212 @t211))) % 229.50/238.60 (step @p398 :rule refl :args (@t219)) % 229.50/238.60 (step @p399 :rule bool-double-not-elim :args (@t208)) % 229.50/238.60 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or (not @t220) @t219))) % 229.50/238.60 (assume-push @p488 @t220) % 229.50/238.60 (step @p402 :rule skolemize :premises (@p488)) % 229.50/238.60 (step-pop @p489 :rule scope :premises (@p402)) % 229.50/238.60 (step @p403 :rule process_scope :premises (@p489) :args (@t219)) % 229.50/238.60 (step @p405 :rule implies_elim :premises (@p403)) % 229.50/238.60 (step @p406 :rule eq_resolve :premises (@p405 @p400)) % 229.50/238.60 (step @p407 :rule chain_m_resolution :premises (@p406 @p397) :args (@t208 @t189 (@list @t214))) % 229.50/238.60 (step @p408 :rule cnf_or_pos :args (@t221)) % 229.50/238.60 (step @p409 :rule reordering :premises (@p408) :args ((or @t184 @t220 @t197 @t222))) % 229.50/238.60 (step @p410 :rule chain_m_resolution :premises (@p409 @p356 @p407 @p373) :args (@t222 @t223 (@list @t183 @t208 @t197))) % 229.50/238.60 (assume-push @p490 @t201) % 229.50/238.60 (step @p412 :rule instantiate :premises (@p490) :args (@t181)) % 229.50/238.60 (step-pop @p491 :rule scope :premises (@p412)) % 229.50/238.60 (step @p413 :rule process_scope :premises (@p491) :args (@t221)) % 229.50/238.60 (step @p415 :rule implies_elim :premises (@p413)) % 229.50/238.60 (step @p416 :rule chain_m_resolution :premises (@p415 @p410) :args (@t202 @t118 (@list @t221))) % 229.50/238.60 (step @p417 :rule bool-double-not-elim :args (@t199)) % 229.50/238.60 (step @p418 :rule bool-double-not-elim :args (@t201)) % 229.50/238.60 (step @p419 :rule refl :args (@t203)) % 229.50/238.60 (step @p420 :rule nary_cong :premises (@p419 @p418 @p417) :args ((or @t203 (not @t202) (not @t200)))) % 229.50/238.60 (step @p421 :rule cnf_and_neg :args (@t203)) % 229.50/238.60 (step @p422 :rule eq_resolve :premises (@p421 @p420)) % 229.50/238.60 (step @p423 :rule reordering :premises (@p422) :args ((or @t201 @t199 @t203))) % 229.50/238.60 (step @p424 :rule chain_m_resolution :premises (@p423 @p416 @p371) :args (@t199 @t179 (@list @t201 @t203))) % 229.50/238.60 (step @p425 :rule bool-double-not-elim :args (@t227)) % 229.50/238.60 (step @p426 :rule refl :args (@t230)) % 229.50/238.60 (step @p427 :rule nary_cong :premises (@p426 @p425) :args ((or @t230 (not @t229)))) % 229.50/238.60 (step @p428 :rule cnf_or_neg :args (@t230 0)) % 229.50/238.60 (step @p429 :rule eq_resolve :premises (@p428 @p427)) % 229.50/238.60 (step @p430 :rule reordering :premises (@p429) :args ((or @t227 @t230))) % 229.50/238.60 (step @p431 :rule cnf_or_neg :args (@t230 1)) % 229.50/238.60 (step @p432 :rule cnf_and_pos :args (@t231 1)) % 229.50/238.60 (step @p433 :rule reordering :premises (@p432) :args ((or @t229 (not @t231)))) % 229.50/238.60 (assume-push @p492 @t190) % 229.50/238.60 (step @p435 :rule instantiate :premises (@p492) :args ((@list @t226 @t225))) % 229.50/238.60 (step-pop @p493 :rule scope :premises (@p435)) % 229.50/238.60 (step @p436 :rule process_scope :premises (@p493) :args (@t232)) % 229.50/238.60 (step @p438 :rule implies_elim :premises (@p436)) % 229.50/238.60 (step @p439 :rule chain_m_resolution :premises (@p438 @p388) :args (@t232 @t189 @t217)) % 229.50/238.60 (step @p440 :rule cnf_or_pos :args (@t232)) % 229.50/238.60 (step @p441 :rule reordering :premises (@p440) :args ((or @t228 @t231 (not @t232)))) % 229.50/238.60 (step @p442 :rule chain_m_resolution :premises (@p441 @p439 @p433 @p431 @p430) :args (@t230 @t218 (@list @t232 @t231 @t228 @t227))) % 229.50/238.60 (step @p443 :rule refl :args (@t233)) % 229.50/238.60 (step @p444 :rule bool-double-not-elim :args (@t224)) % 229.50/238.60 (step @p445 :rule nary_cong :premises (@p444 @p443) :args ((or (not @t234) @t233))) % 229.50/238.60 (assume-push @p494 @t234) % 229.50/238.60 (step @p447 :rule skolemize :premises (@p494)) % 229.50/238.60 (step-pop @p495 :rule scope :premises (@p447)) % 229.50/238.60 (step @p448 :rule process_scope :premises (@p495) :args (@t233)) % 229.50/238.60 (step @p450 :rule implies_elim :premises (@p448)) % 229.50/238.60 (step @p451 :rule eq_resolve :premises (@p450 @p445)) % 229.50/238.60 (step @p452 :rule chain_m_resolution :premises (@p451 @p442) :args (@t224 @t189 (@list @t230))) % 229.50/238.60 (step @p453 :rule cnf_or_pos :args (@t235)) % 229.50/238.60 (step @p454 :rule reordering :premises (@p453) :args ((or @t184 @t234 @t197 @t236))) % 229.50/238.60 (step @p455 :rule chain_m_resolution :premises (@p454 @p356 @p452 @p373) :args (@t236 @t223 (@list @t183 @t224 @t197))) % 229.50/238.60 (assume-push @p496 @t199) % 229.50/238.60 (step @p457 :rule instantiate :premises (@p496) :args (@t181)) % 229.50/238.60 (step-pop @p497 :rule scope :premises (@p457)) % 229.50/238.60 (step @p458 :rule process_scope :premises (@p497) :args (@t235)) % 229.50/238.60 (step @p460 :rule implies_elim :premises (@p458)) % 229.50/238.60 (step @p461 false :rule chain_m_resolution :premises (@p460 @p455 @p424) :args (false (@list true false) (@list @t235 @t199))) % 229.50/238.60 ) % 229.50/238.60 % SZS output end Proof % 229.50/238.60 % cvc5 exiting %------------------------------------------------------------------------------