%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV130^5 : 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 : n019.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 08:55:29 AM UTC 2026 % Result : Theorem 211.94s 212.35s % Output : Proof 211.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV130^5 : 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 % 0.18/0.35 % Computer : n019.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 18:15:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 211.94/212.35 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 211.94/212.35 --- 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... % 211.94/212.35 --- 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... % 211.94/212.35 --- Run --ho-elim --full-saturate-quant at 18s... % 211.94/212.35 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 211.94/212.35 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 211.94/212.35 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 211.94/212.35 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 211.94/212.35 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 21s... % 211.94/212.35 % SZS status Theorem % 211.94/212.35 % SZS output start Proof % 211.94/212.35 ( % 211.94/212.35 (declare-sort tptp.a 0) % 211.94/212.35 (define @t1 () (@var "Xy1" tptp.a)) % 211.94/212.35 (define @t2 () (@var "Xx1" tptp.a)) % 211.94/212.35 (define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool))) % 211.94/212.35 (define @t4 () (_ (_ @t3 @t2) @t1)) % 211.94/212.35 (define @t5 () (@var "Xz" tptp.a)) % 211.94/212.35 (define @t6 () (@var "Xx" tptp.a)) % 211.94/212.35 (define @t7 () (_ @t3 @t6)) % 211.94/212.35 (define @t8 () (_ @t7 @t5)) % 211.94/212.35 (define @t9 () (@var "Xy" tptp.a)) % 211.94/212.35 (define @t10 () (_ (_ @t3 @t9) @t5)) % 211.94/212.35 (define @t11 () (_ @t7 @t9)) % 211.94/212.35 (define @t12 () (and @t11 @t10)) % 211.94/212.35 (define @t13 () (@list @t6 @t9 @t5)) % 211.94/212.35 (define @t14 () (forall @t13 (=> @t12 @t8))) % 211.94/212.35 (define @t15 () (@var "R" (-> tptp.a tptp.a Bool))) % 211.94/212.35 (define @t16 () (_ (_ @t15 @t6) @t9)) % 211.94/212.35 (define @t17 () (@var "Xy10" tptp.a)) % 211.94/212.35 (define @t18 () (@var "Xx10" tptp.a)) % 211.94/212.35 (define @t19 () (@var "Xp10" (-> tptp.a tptp.a Bool))) % 211.94/212.35 (define @t20 () (_ (_ @t19 @t18) @t17)) % 211.94/212.35 (define @t21 () (@var "Xx0" tptp.a)) % 211.94/212.35 (define @t22 () (_ @t19 @t21)) % 211.94/212.35 (define @t23 () (_ @t22 @t5)) % 211.94/212.35 (define @t24 () (@var "Xy0" tptp.a)) % 211.94/212.35 (define @t25 () (_ (_ @t19 @t24) @t5)) % 211.94/212.35 (define @t26 () (_ @t22 @t24)) % 211.94/212.35 (define @t27 () (and @t26 @t25)) % 211.94/212.35 (define @t28 () (@list @t21 @t24 @t5)) % 211.94/212.35 (define @t29 () (forall @t28 (=> @t27 @t23))) % 211.94/212.35 (define @t30 () (@var "Q" (-> tptp.a tptp.a Bool))) % 211.94/212.35 (define @t31 () (_ (_ @t30 @t21) @t24)) % 211.94/212.35 (define @t32 () (@list @t21 @t24)) % 211.94/212.35 (define @t33 () (forall @t32 (=> @t31 @t26))) % 211.94/212.35 (define @t34 () (and @t33 @t29)) % 211.94/212.35 (define @t35 () (=> @t34 @t20)) % 211.94/212.35 (define @t36 () (@list @t19)) % 211.94/212.35 (define @t37 () (forall @t36 @t35)) % 211.94/212.35 (define @t38 () (@list @t18 @t17)) % 211.94/212.35 (define @t39 () (lambda @t38 @t37)) % 211.94/212.35 (define @t40 () (= @t15 @t39)) % 211.94/212.35 (define @t41 () (@var "S" (-> (-> tptp.a tptp.a Bool) Bool))) % 211.94/212.35 (define @t42 () (_ @t41 @t30)) % 211.94/212.35 (define @t43 () (and @t42 @t40)) % 211.94/212.35 (define @t44 () (@list @t30)) % 211.94/212.35 (define @t45 () (exists @t44 @t43)) % 211.94/212.35 (define @t46 () (and @t45 @t16)) % 211.94/212.35 (define @t47 () (@list @t15)) % 211.94/212.35 (define @t48 () (exists @t47 @t46)) % 211.94/212.35 (define @t49 () (=> @t48 @t11)) % 211.94/212.35 (define @t50 () (@list @t6 @t9)) % 211.94/212.35 (define @t51 () (forall @t50 @t49)) % 211.94/212.35 (define @t52 () (and @t51 @t14)) % 211.94/212.35 (define @t53 () (=> @t52 @t4)) % 211.94/212.35 (define @t54 () (@list @t3)) % 211.94/212.35 (define @t55 () (forall @t54 @t53)) % 211.94/212.35 (define @t56 () (@list @t2 @t1)) % 211.94/212.35 (define @t57 () (lambda @t56 @t55)) % 211.94/212.35 (define @t58 () (_ @t41 @t15)) % 211.94/212.35 (define @t59 () (and @t58 @t16)) % 211.94/212.35 (define @t60 () (exists @t47 @t59)) % 211.94/212.35 (define @t61 () (=> @t60 @t11)) % 211.94/212.35 (define @t62 () (forall @t50 @t61)) % 211.94/212.35 (define @t63 () (and @t62 @t14)) % 211.94/212.35 (define @t64 () (=> @t63 @t4)) % 211.94/212.35 (define @t65 () (forall @t54 @t64)) % 211.94/212.35 (define @t66 () (lambda @t56 @t65)) % 211.94/212.35 (define @t67 () (= @t66 @t57)) % 211.94/212.35 (define @t68 () (@list @t41)) % 211.94/212.35 (define @t69 () (forall @t68 @t67)) % 211.94/212.35 (define @t70 () (not @t69)) % 211.94/212.35 (define @t71 () (_ @t3 @t2 @t1)) % 211.94/212.35 (define @t72 () (_ @t3 @t6 @t5)) % 211.94/212.35 (define @t73 () (_ @t3 @t9 @t5)) % 211.94/212.35 (define @t74 () (_ @t3 @t6 @t9)) % 211.94/212.35 (define @t75 () (forall @t13 (or (not @t74) (not @t73) @t72))) % 211.94/212.35 (define @t76 () (not @t75)) % 211.94/212.35 (define @t77 () (@var "BOUND_VARIABLE_7651" (-> tptp.a tptp.a Bool))) % 211.94/212.35 (define @t78 () (not (_ @t41 @t77))) % 211.94/212.35 (define @t79 () (_ @t19 @t6 @t9)) % 211.94/212.35 (define @t80 () (_ @t19 @t21 @t5)) % 211.94/212.35 (define @t81 () (_ @t19 @t24 @t5)) % 211.94/212.35 (define @t82 () (_ @t19 @t21 @t24)) % 211.94/212.35 (define @t83 () (forall @t28 (or (not @t82) (not @t81) @t80))) % 211.94/212.35 (define @t84 () (not @t83)) % 211.94/212.35 (define @t85 () (not (forall @t36 (or (not (forall @t32 (or (not (_ @t77 @t21 @t24)) @t82))) @t84 @t79)))) % 211.94/212.35 (define @t86 () (or @t74 @t85 @t78)) % 211.94/212.35 (define @t87 () (@list @t6 @t9 @t77)) % 211.94/212.35 (define @t88 () (forall @t87 @t86)) % 211.94/212.35 (define @t89 () (not @t88)) % 211.94/212.35 (define @t90 () (or @t89 @t76 @t4)) % 211.94/212.35 (define @t91 () (and @t88 @t75)) % 211.94/212.35 (define @t92 () (not @t10)) % 211.94/212.35 (define @t93 () (not @t11)) % 211.94/212.35 (define @t94 () (or @t93 @t92 @t8)) % 211.94/212.35 (define @t95 () (or @t85 @t78)) % 211.94/212.35 (define @t96 () (or @t95 @t74)) % 211.94/212.35 (define @t97 () (forall @t87 @t96)) % 211.94/212.35 (define @t98 () (@list @t77)) % 211.94/212.35 (define @t99 () (forall @t98 @t96)) % 211.94/212.35 (define @t100 () (forall @t98 @t95)) % 211.94/212.35 (define @t101 () (@var "BOUND_VARIABLE_7609" (-> tptp.a tptp.a Bool))) % 211.94/212.35 (define @t102 () (@list @t101)) % 211.94/212.35 (define @t103 () (or @t100 @t74)) % 211.94/212.35 (define @t104 () (not (_ @t41 @t101))) % 211.94/212.35 (define @t105 () (not (forall @t32 (or (not (_ @t101 @t21 @t24)) @t82)))) % 211.94/212.35 (define @t106 () (forall @t36 (or @t105 @t84 @t79))) % 211.94/212.35 (define @t107 () (not @t106)) % 211.94/212.35 (define @t108 () (or @t107 @t104)) % 211.94/212.35 (define @t109 () (@list @t101)) % 211.94/212.35 (define @t110 () (forall @t109 @t108)) % 211.94/212.35 (define @t111 () (or @t110 @t11)) % 211.94/212.35 (define @t112 () (not @t110)) % 211.94/212.35 (define @t113 () (_ @t19 @t18 @t17)) % 211.94/212.35 (define @t114 () (lambda @t38 (forall @t36 (or @t105 @t84 @t113)))) % 211.94/212.35 (define @t115 () (not (= @t114 @t114))) % 211.94/212.35 (define @t116 () (_ @t114 @t6 @t9)) % 211.94/212.35 (define @t117 () (not @t116)) % 211.94/212.35 (define @t118 () (or @t117 @t104 @t115)) % 211.94/212.35 (define @t119 () (not (= @t15 @t114))) % 211.94/212.35 (define @t120 () (_ @t15 @t6 @t9)) % 211.94/212.35 (define @t121 () (not @t120)) % 211.94/212.35 (define @t122 () (or @t119 @t121 @t104 @t119)) % 211.94/212.35 (define @t123 () (or @t121 @t104 @t119)) % 211.94/212.35 (define @t124 () (forall @t47 @t123)) % 211.94/212.35 (define @t125 () (forall @t109 @t124)) % 211.94/212.35 (define @t126 () (forall (@list @t101 @t15) @t123)) % 211.94/212.35 (define @t127 () (@list @t15 @t101)) % 211.94/212.35 (define @t128 () (or @t104 @t119)) % 211.94/212.35 (define @t129 () (or @t128 @t121)) % 211.94/212.35 (define @t130 () (forall @t127 @t129)) % 211.94/212.35 (define @t131 () (forall @t109 @t129)) % 211.94/212.35 (define @t132 () (forall @t109 @t128)) % 211.94/212.35 (define @t133 () (or @t132 @t121)) % 211.94/212.35 (define @t134 () (_ @t30 @t21 @t24)) % 211.94/212.35 (define @t135 () (forall @t32 (or (not @t134) @t82))) % 211.94/212.35 (define @t136 () (not @t135)) % 211.94/212.35 (define @t137 () (= @t15 (lambda @t38 (forall @t36 (or @t136 @t84 @t113))))) % 211.94/212.35 (define @t138 () (not @t137)) % 211.94/212.35 (define @t139 () (_ @t41 @t30)) % 211.94/212.35 (define @t140 () (forall @t44 (or (not @t139) @t138))) % 211.94/212.35 (define @t141 () (not @t16)) % 211.94/212.35 (define @t142 () (or @t140 @t141)) % 211.94/212.35 (define @t143 () (not @t140)) % 211.94/212.35 (define @t144 () (and @t143 @t16)) % 211.94/212.35 (define @t145 () (forall @t47 (not @t144))) % 211.94/212.35 (define @t146 () (not @t145)) % 211.94/212.35 (define @t147 () (not @t42)) % 211.94/212.35 (define @t148 () (or @t147 @t138)) % 211.94/212.35 (define @t149 () (and @t42 @t137)) % 211.94/212.35 (define @t150 () (forall @t44 (not @t149))) % 211.94/212.35 (define @t151 () (not @t150)) % 211.94/212.35 (define @t152 () (or @t136 @t84 @t20)) % 211.94/212.35 (define @t153 () (and @t135 @t83)) % 211.94/212.35 (define @t154 () (not @t25)) % 211.94/212.35 (define @t155 () (not @t26)) % 211.94/212.35 (define @t156 () (or @t155 @t154 @t23)) % 211.94/212.35 (define @t157 () (not @t31)) % 211.94/212.35 (define @t158 () (or @t157 @t26)) % 211.94/212.35 (define @t159 () (@var "BOUND_VARIABLE_7511" (-> tptp.a tptp.a Bool))) % 211.94/212.35 (define @t160 () (not (_ @t159 @t6 @t9))) % 211.94/212.35 (define @t161 () (not (_ @t41 @t159))) % 211.94/212.35 (define @t162 () (or @t74 @t161 @t160)) % 211.94/212.35 (define @t163 () (@list @t6 @t9 @t159)) % 211.94/212.35 (define @t164 () (forall @t163 @t162)) % 211.94/212.35 (define @t165 () (not @t164)) % 211.94/212.35 (define @t166 () (or @t165 @t76 @t4)) % 211.94/212.35 (define @t167 () (and @t164 @t75)) % 211.94/212.35 (define @t168 () (or @t161 @t160)) % 211.94/212.35 (define @t169 () (or @t168 @t74)) % 211.94/212.35 (define @t170 () (forall @t163 @t169)) % 211.94/212.35 (define @t171 () (@list @t159)) % 211.94/212.35 (define @t172 () (forall @t171 @t169)) % 211.94/212.35 (define @t173 () (forall @t171 @t168)) % 211.94/212.35 (define @t174 () (or @t173 @t74)) % 211.94/212.35 (define @t175 () (_ @t41 @t15)) % 211.94/212.35 (define @t176 () (forall @t47 (or (not @t175) @t121))) % 211.94/212.35 (define @t177 () (or @t176 @t11)) % 211.94/212.35 (define @t178 () (not @t176)) % 211.94/212.35 (define @t179 () (not @t58)) % 211.94/212.35 (define @t180 () (or @t179 @t141)) % 211.94/212.35 (define @t181 () (forall @t47 (not @t59))) % 211.94/212.35 (define @t182 () (not @t181)) % 211.94/212.35 (define @t183 () (forall @t68 (= (lambda @t56 (forall @t54 (or @t165 @t76 @t71))) (lambda @t56 (forall @t54 (or @t89 @t76 @t71)))))) % 211.94/212.35 (define @t184 () (@quantifiers_skolemize @t183 0)) % 211.94/212.35 (define @t185 () (not (_ @t184 @t159))) % 211.94/212.35 (define @t186 () (not (forall @t163 (or @t74 @t185 @t160)))) % 211.94/212.35 (define @t187 () (lambda @t56 (forall @t54 (or @t186 @t76 @t71)))) % 211.94/212.35 (define @t188 () (@purify @t187)) % 211.94/212.35 (define @t189 () (not (_ @t184 @t77))) % 211.94/212.35 (define @t190 () (not (forall @t87 (or @t74 @t85 @t189)))) % 211.94/212.35 (define @t191 () (lambda @t56 (forall @t54 (or @t190 @t76 @t71)))) % 211.94/212.35 (define @t192 () (@purify @t191)) % 211.94/212.35 (define @t193 () (= @t192 @t188)) % 211.94/212.35 (define @t194 () (not @t193)) % 211.94/212.35 (define @t195 () (not @t183)) % 211.94/212.35 (define @t196 () (= @t187 @t191)) % 211.94/212.35 (define @t197 () (not @t196)) % 211.94/212.35 (define @t198 () (@list true)) % 211.94/212.35 (define @t199 () (@const 0 tptp.a)) % 211.94/212.35 (define @t200 () (@const 1 tptp.a)) % 211.94/212.35 (define @t201 () (_ @t3 @t200 @t199)) % 211.94/212.35 (define @t202 () (forall @t54 (or @t190 @t76 @t201))) % 211.94/212.35 (define @t203 () (forall @t54 (or @t186 @t76 @t201))) % 211.94/212.35 (define @t204 () (_ @t187 @t200 @t199)) % 211.94/212.35 (define @t205 () (_ @t188 @t200 @t199)) % 211.94/212.35 (define @t206 () (_ @t191 @t200 @t199)) % 211.94/212.35 (define @t207 () (_ @t192 @t200 @t199)) % 211.94/212.35 (define @t208 () (= @t207 @t205)) % 211.94/212.35 (define @t209 () (not @t208)) % 211.94/212.35 (define @t210 () (or @t193 @t209)) % 211.94/212.35 (define @t211 () (= @t203 @t202)) % 211.94/212.35 (define @t212 () (@quantifiers_skolemize @t202 0)) % 211.94/212.35 (define @t213 () (_ @t212 @t200 @t199)) % 211.94/212.35 (define @t214 () (_ @t212 @t6 @t9)) % 211.94/212.35 (define @t215 () (forall @t13 (or (not @t214) (not (_ @t212 @t9 @t5)) (_ @t212 @t6 @t5)))) % 211.94/212.35 (define @t216 () (not @t215)) % 211.94/212.35 (define @t217 () (forall @t163 (or @t214 @t185 @t160))) % 211.94/212.35 (define @t218 () (not @t217)) % 211.94/212.35 (define @t219 () (or @t218 @t216 @t213)) % 211.94/212.35 (define @t220 () (forall @t87 (or @t214 @t85 @t189))) % 211.94/212.35 (define @t221 () (not @t220)) % 211.94/212.35 (define @t222 () (or @t221 @t216 @t213)) % 211.94/212.35 (define @t223 () (not @t222)) % 211.94/212.35 (define @t224 () (not @t202)) % 211.94/212.35 (define @t225 () (@quantifiers_skolemize @t217 2)) % 211.94/212.35 (define @t226 () (@quantifiers_skolemize @t217 1)) % 211.94/212.35 (define @t227 () (@quantifiers_skolemize @t217 0)) % 211.94/212.35 (define @t228 () (_ @t184 @t225)) % 211.94/212.35 (define @t229 () (not @t228)) % 211.94/212.35 (define @t230 () (not (_ @t225 @t21 @t24))) % 211.94/212.35 (define @t231 () (forall @t36 (or (not (forall @t32 (or @t230 @t82))) @t84 (_ @t19 @t227 @t226)))) % 211.94/212.35 (define @t232 () (not @t231)) % 211.94/212.35 (define @t233 () (_ @t212 @t227 @t226)) % 211.94/212.35 (define @t234 () (or @t233 @t232 @t229)) % 211.94/212.35 (define @t235 () (_ @t225 @t227 @t226)) % 211.94/212.35 (define @t236 () (not @t235)) % 211.94/212.35 (define @t237 () (or @t233 @t229 @t236)) % 211.94/212.35 (define @t238 () (not @t237)) % 211.94/212.35 (define @t239 () (@quantifiers_skolemize @t231 0)) % 211.94/212.35 (define @t240 () (_ @t239 @t227 @t226)) % 211.94/212.35 (define @t241 () (_ @t239 @t21 @t24)) % 211.94/212.35 (define @t242 () (forall @t32 (or @t230 @t241))) % 211.94/212.35 (define @t243 () (not @t242)) % 211.94/212.35 (define @t244 () (or @t243 (not (forall @t28 (or (not @t241) (not (_ @t239 @t24 @t5)) (_ @t239 @t21 @t5)))) @t240)) % 211.94/212.35 (define @t245 () (not @t244)) % 211.94/212.35 (define @t246 () (or @t236 @t240)) % 211.94/212.35 (define @t247 () (not @t203)) % 211.94/212.35 (define @t248 () (@quantifiers_skolemize @t203 0)) % 211.94/212.35 (define @t249 () (_ @t248 @t200 @t199)) % 211.94/212.35 (define @t250 () (_ @t248 @t6 @t9)) % 211.94/212.35 (define @t251 () (forall @t13 (or (not @t250) (not (_ @t248 @t9 @t5)) (_ @t248 @t6 @t5)))) % 211.94/212.35 (define @t252 () (not @t251)) % 211.94/212.35 (define @t253 () (forall @t163 (or @t250 @t185 @t160))) % 211.94/212.35 (define @t254 () (not @t253)) % 211.94/212.35 (define @t255 () (or @t254 @t252 @t249)) % 211.94/212.35 (define @t256 () (not @t255)) % 211.94/212.35 (define @t257 () (@list @t255)) % 211.94/212.35 (define @t258 () (@list @t248)) % 211.94/212.35 (define @t259 () (forall @t87 (or @t250 @t85 @t189))) % 211.94/212.35 (define @t260 () (not @t259)) % 211.94/212.35 (define @t261 () (or @t260 @t252 @t249)) % 211.94/212.35 (define @t262 () (@list false)) % 211.94/212.35 (define @t263 () (@list false true false)) % 211.94/212.35 (define @t264 () (@quantifiers_skolemize @t259 2)) % 211.94/212.35 (define @t265 () (_ @t184 @t264)) % 211.94/212.35 (define @t266 () (not @t265)) % 211.94/212.35 (define @t267 () (@quantifiers_skolemize @t259 1)) % 211.94/212.35 (define @t268 () (@quantifiers_skolemize @t259 0)) % 211.94/212.35 (define @t269 () (not (_ @t264 @t21 @t24))) % 211.94/212.35 (define @t270 () (forall @t36 (or (not (forall @t32 (or @t269 @t82))) @t84 (_ @t19 @t268 @t267)))) % 211.94/212.35 (define @t271 () (not @t270)) % 211.94/212.35 (define @t272 () (_ @t248 @t268 @t267)) % 211.94/212.35 (define @t273 () (or @t272 @t271 @t266)) % 211.94/212.35 (define @t274 () (not @t273)) % 211.94/212.35 (define @t275 () (@list @t273)) % 211.94/212.35 (define @t276 () (_ @t248 @t21 @t24)) % 211.94/212.35 (define @t277 () (forall @t28 (or (not @t276) (not (_ @t248 @t24 @t5)) (_ @t248 @t21 @t5)))) % 211.94/212.35 (define @t278 () (not @t277)) % 211.94/212.35 (define @t279 () (forall @t32 (or @t269 @t276))) % 211.94/212.35 (define @t280 () (not @t279)) % 211.94/212.35 (define @t281 () (or @t280 @t278 @t272)) % 211.94/212.35 (define @t282 () (@var "BOUND_VARIABLE_32622" tptp.a)) % 211.94/212.35 (define @t283 () (@var "BOUND_VARIABLE_32620" tptp.a)) % 211.94/212.35 (define @t284 () (@var "BOUND_VARIABLE_32621" tptp.a)) % 211.94/212.35 (define @t285 () (@list @t283 @t284 @t282)) % 211.94/212.35 (define @t286 () (@quantifiers_skolemize @t279 1)) % 211.94/212.35 (define @t287 () (@quantifiers_skolemize @t279 0)) % 211.94/212.35 (define @t288 () (_ @t248 @t287 @t286)) % 211.94/212.35 (define @t289 () (_ @t264 @t287 @t286)) % 211.94/212.35 (define @t290 () (not @t289)) % 211.94/212.35 (define @t291 () (or @t290 @t288)) % 211.94/212.35 (define @t292 () (not @t291)) % 211.94/212.35 (define @t293 () (@list @t291)) % 211.94/212.35 (define @t294 () (or @t288 @t266 @t290)) % 211.94/212.35 (define @t295 () (not @t294)) % 211.94/212.35 (assume @p1 @t70) % 211.94/212.35 (assume @p2 true) % 211.94/212.35 (step @p3 :rule refl :args (@t71)) % 211.94/212.35 (step @p4 :rule refl :args (@t4)) % 211.94/212.35 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t71))) % 211.94/212.35 (step @p6 :rule symm :premises (@p5)) % 211.94/212.35 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 211.94/212.35 (step @p8 :rule refl :args (@t76)) % 211.94/212.35 (step @p9 :rule refl :args (@t89)) % 211.94/212.35 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t90)) % 211.94/212.35 (step @p11 :rule cong :premises (@p10) :args ((forall @t54 @t90))) % 211.94/212.35 (step @p12 :rule aci_norm :args ((= (or (or @t89 @t76) @t4) @t90))) % 211.94/212.35 (step @p13 :rule bool-and-de-morgan :args (@t88 @t75 true)) % 211.94/212.35 (step @p14 :rule nary_cong :premises (@p13 @p4) :args ((or (not @t91) @t4))) % 211.94/212.35 (step @p15 :rule trans :premises (@p14 @p12)) % 211.94/212.35 (step @p16 :rule bool-impl-elim :args (@t91 @t4)) % 211.94/212.35 (step @p17 :rule trans :premises (@p16 @p15)) % 211.94/212.35 (step @p18 :rule cong :premises (@p17) :args ((forall @t54 (=> @t91 @t4)))) % 211.94/212.35 (step @p19 :rule trans :premises (@p18 @p11)) % 211.94/212.35 (step @p20 :rule refl :args (@t4)) % 211.94/212.35 (step @p21 :rule refl :args (@t72)) % 211.94/212.35 (step @p22 :rule refl :args (@t8)) % 211.94/212.35 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t8 @t72))) % 211.94/212.35 (step @p24 :rule symm :premises (@p23)) % 211.94/212.35 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 211.94/212.35 (step @p26 :rule refl :args (@t73)) % 211.94/212.35 (step @p27 :rule refl :args (@t10)) % 211.94/212.35 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t10 @t73))) % 211.94/212.35 (step @p29 :rule symm :premises (@p28)) % 211.94/212.35 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 211.94/212.35 (step @p31 :rule cong :premises (@p30) :args (@t92)) % 211.94/212.35 (step @p32 :rule refl :args (@t74)) % 211.94/212.35 (step @p33 :rule refl :args (@t11)) % 211.94/212.35 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t11 @t74))) % 211.94/212.35 (step @p35 :rule symm :premises (@p34)) % 211.94/212.35 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 211.94/212.35 (step @p37 :rule cong :premises (@p36) :args (@t93)) % 211.94/212.35 (step @p38 :rule nary_cong :premises (@p37 @p31 @p25) :args (@t94)) % 211.94/212.35 (step @p39 :rule cong :premises (@p38) :args ((forall @t13 @t94))) % 211.94/212.35 (step @p40 :rule aci_norm :args ((= (or (or @t93 @t92) @t8) @t94))) % 211.94/212.35 (step @p41 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 211.94/212.35 (step @p42 :rule nary_cong :premises (@p41 @p22) :args ((or (not @t12) @t8))) % 211.94/212.35 (step @p43 :rule trans :premises (@p42 @p40)) % 211.94/212.35 (step @p44 :rule bool-impl-elim :args (@t12 @t8)) % 211.94/212.35 (step @p45 :rule trans :premises (@p44 @p43)) % 211.94/212.35 (step @p46 :rule cong :premises (@p45) :args (@t14)) % 211.94/212.35 (step @p47 :rule trans :premises (@p46 @p39)) % 211.94/212.35 (step @p48 :rule aci_norm :args ((= @t96 @t86))) % 211.94/212.35 (step @p49 :rule cong :premises (@p48) :args (@t97)) % 211.94/212.35 (step @p50 :rule quant-merge-prenex :args ((= (forall @t50 @t99) @t97))) % 211.94/212.35 (step @p51 :rule refl :args (@t74)) % 211.94/212.35 (step @p52 :rule alpha_equiv :args (@t100 (@list @t77) @t102)) % 211.94/212.35 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t103)) % 211.94/212.35 (step @p54 :rule quant-miniscope-or :args ((= @t99 @t103))) % 211.94/212.35 (step @p55 :rule trans :premises (@p54 @p53)) % 211.94/212.35 (step @p56 :rule symm :premises (@p55)) % 211.94/212.35 (step @p57 :rule cong :premises (@p56) :args ((forall @t50 (or @t110 @t74)))) % 211.94/212.35 (step @p58 :rule trans :premises (@p57 @p50)) % 211.94/212.35 (step @p59 :rule trans :premises (@p58 @p49)) % 211.94/212.35 (step @p60 :rule refl :args (@t110)) % 211.94/212.35 (step @p61 :rule nary_cong :premises (@p60 @p36) :args (@t111)) % 211.94/212.35 (step @p62 :rule cong :premises (@p61) :args ((forall @t50 @t111))) % 211.94/212.35 (step @p63 :rule trans :premises (@p62 @p59)) % 211.94/212.35 (step @p64 :rule bool-double-not-elim :args (@t110)) % 211.94/212.35 (step @p65 :rule nary_cong :premises (@p64 @p33) :args ((or (not @t112) @t11))) % 211.94/212.35 (step @p66 :rule bool-impl-elim :args (@t112 @t11)) % 211.94/212.35 (step @p67 :rule trans :premises (@p66 @p65)) % 211.94/212.35 (step @p68 :rule cong :premises (@p67) :args ((forall @t50 (=> @t112 @t11)))) % 211.94/212.35 (step @p69 :rule trans :premises (@p68 @p63)) % 211.94/212.35 (step @p70 :rule refl :args (@t11)) % 211.94/212.35 (step @p71 :rule aci_norm :args ((= (or @t107 @t104 false) @t108))) % 211.94/212.35 (step @p72 :rule evaluate :args ((not true))) % 211.94/212.35 (step @p73 :rule eq-refl :args (@t114)) % 211.94/212.35 (step @p74 :rule cong :premises (@p73) :args (@t115)) % 211.94/212.35 (step @p75 :rule trans :premises (@p74 @p72)) % 211.94/212.35 (step @p76 :rule refl :args (@t104)) % 211.94/212.35 (step @p77 :rule beta-reduce :args ((= @t116 @t106))) % 211.94/212.35 (step @p78 :rule cong :premises (@p77) :args (@t117)) % 211.94/212.35 (step @p79 :rule nary_cong :premises (@p78 @p76 @p75) :args (@t118)) % 211.94/212.35 (step @p80 :rule trans :premises (@p79 @p71)) % 211.94/212.35 (step @p81 :rule cong :premises (@p80) :args ((forall @t109 @t118))) % 211.94/212.35 (step @p82 :rule quant-var-elim-eq :args ((= (forall @t47 @t122) @t118))) % 211.94/212.35 (step @p83 :rule aci_norm :args ((= @t123 @t122))) % 211.94/212.35 (step @p84 :rule cong :premises (@p83) :args (@t124)) % 211.94/212.35 (step @p85 :rule trans :premises (@p84 @p82)) % 211.94/212.35 (step @p86 :rule cong :premises (@p85) :args (@t125)) % 211.94/212.35 (step @p87 :rule quant-merge-prenex :args ((= @t125 @t126))) % 211.94/212.35 (step @p88 :rule symm :premises (@p87)) % 211.94/212.35 (step @p89 :rule quant_var_reordering :args ((= (forall @t127 @t123) @t126))) % 211.94/212.35 (step @p90 :rule trans :premises (@p89 @p88 @p86)) % 211.94/212.35 (step @p91 :rule trans :premises (@p90 @p81)) % 211.94/212.35 (step @p92 :rule aci_norm :args ((= @t129 @t123))) % 211.94/212.35 (step @p93 :rule cong :premises (@p92) :args (@t130)) % 211.94/212.35 (step @p94 :rule trans :premises (@p93 @p91)) % 211.94/212.35 (step @p95 :rule quant-merge-prenex :args ((= (forall @t47 @t131) @t130))) % 211.94/212.35 (step @p96 :rule refl :args (@t121)) % 211.94/212.35 (step @p97 :rule alpha_equiv :args (@t132 @t102 (@list @t30))) % 211.94/212.35 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t133)) % 211.94/212.35 (step @p99 :rule quant-miniscope-or :args ((= @t131 @t133))) % 211.94/212.35 (step @p100 :rule trans :premises (@p99 @p98)) % 211.94/212.35 (step @p101 :rule symm :premises (@p100)) % 211.94/212.35 (step @p102 :rule cong :premises (@p101) :args ((forall @t47 (or @t140 @t121)))) % 211.94/212.35 (step @p103 :rule trans :premises (@p102 @p95)) % 211.94/212.35 (step @p104 :rule trans :premises (@p103 @p94)) % 211.94/212.35 (step @p105 :rule refl :args (@t120)) % 211.94/212.35 (step @p106 :rule refl :args (@t16)) % 211.94/212.35 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t16 @t120))) % 211.94/212.35 (step @p108 :rule symm :premises (@p107)) % 211.94/212.35 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 211.94/212.35 (step @p110 :rule cong :premises (@p109) :args (@t141)) % 211.94/212.35 (step @p111 :rule refl :args (@t140)) % 211.94/212.35 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t142)) % 211.94/212.35 (step @p113 :rule cong :premises (@p112) :args ((forall @t47 @t142))) % 211.94/212.35 (step @p114 :rule trans :premises (@p113 @p104)) % 211.94/212.35 (step @p115 :rule refl :args (@t141)) % 211.94/212.35 (step @p116 :rule bool-double-not-elim :args (@t140)) % 211.94/212.35 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t143) @t141))) % 211.94/212.35 (step @p118 :rule bool-and-de-morgan :args (@t143 @t16 true)) % 211.94/212.35 (step @p119 :rule trans :premises (@p118 @p117)) % 211.94/212.35 (step @p120 :rule cong :premises (@p119) :args (@t145)) % 211.94/212.35 (step @p121 :rule trans :premises (@p120 @p114)) % 211.94/212.35 (step @p122 :rule cong :premises (@p121) :args (@t146)) % 211.94/212.35 (step @p123 :rule exists-elim :args ((= (exists @t47 @t144) @t146))) % 211.94/212.35 (step @p124 :rule trans :premises (@p123 @p122)) % 211.94/212.35 (step @p125 :rule refl :args (@t16)) % 211.94/212.35 (step @p126 :rule refl :args (@t138)) % 211.94/212.35 (step @p127 :rule refl :args (@t139)) % 211.94/212.35 (step @p128 :rule refl :args (@t42)) % 211.94/212.35 (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t42 @t139))) % 211.94/212.35 (step @p130 :rule symm :premises (@p129)) % 211.94/212.35 (step @p131 :rule eq_resolve :premises (@p128 @p130)) % 211.94/212.35 (step @p132 :rule cong :premises (@p131) :args (@t147)) % 211.94/212.35 (step @p133 :rule nary_cong :premises (@p132 @p126) :args (@t148)) % 211.94/212.35 (step @p134 :rule cong :premises (@p133) :args ((forall @t44 @t148))) % 211.94/212.35 (step @p135 :rule bool-and-de-morgan :args (@t42 @t137 true)) % 211.94/212.35 (step @p136 :rule cong :premises (@p135) :args (@t150)) % 211.94/212.35 (step @p137 :rule trans :premises (@p136 @p134)) % 211.94/212.35 (step @p138 :rule cong :premises (@p137) :args (@t151)) % 211.94/212.35 (step @p139 :rule exists-elim :args ((= (exists @t44 @t149) @t151))) % 211.94/212.35 (step @p140 :rule trans :premises (@p139 @p138)) % 211.94/212.35 (step @p141 :rule refl :args (@t113)) % 211.94/212.35 (step @p142 :rule refl :args (@t20)) % 211.94/212.35 (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t20 @t113))) % 211.94/212.35 (step @p144 :rule symm :premises (@p143)) % 211.94/212.35 (step @p145 :rule eq_resolve :premises (@p142 @p144)) % 211.94/212.35 (step @p146 :rule refl :args (@t84)) % 211.94/212.35 (step @p147 :rule refl :args (@t136)) % 211.94/212.35 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args (@t152)) % 211.94/212.35 (step @p149 :rule cong :premises (@p148) :args ((forall @t36 @t152))) % 211.94/212.35 (step @p150 :rule aci_norm :args ((= (or (or @t136 @t84) @t20) @t152))) % 211.94/212.35 (step @p151 :rule bool-and-de-morgan :args (@t135 @t83 true)) % 211.94/212.35 (step @p152 :rule nary_cong :premises (@p151 @p142) :args ((or (not @t153) @t20))) % 211.94/212.35 (step @p153 :rule trans :premises (@p152 @p150)) % 211.94/212.35 (step @p154 :rule bool-impl-elim :args (@t153 @t20)) % 211.94/212.35 (step @p155 :rule trans :premises (@p154 @p153)) % 211.94/212.35 (step @p156 :rule cong :premises (@p155) :args ((forall @t36 (=> @t153 @t20)))) % 211.94/212.35 (step @p157 :rule trans :premises (@p156 @p149)) % 211.94/212.35 (step @p158 :rule refl :args (@t20)) % 211.94/212.35 (step @p159 :rule refl :args (@t80)) % 211.94/212.35 (step @p160 :rule refl :args (@t23)) % 211.94/212.35 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t23 @t80))) % 211.94/212.35 (step @p162 :rule symm :premises (@p161)) % 211.94/212.35 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 211.94/212.35 (step @p164 :rule refl :args (@t81)) % 211.94/212.35 (step @p165 :rule refl :args (@t25)) % 211.94/212.35 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t25 @t81))) % 211.94/212.35 (step @p167 :rule symm :premises (@p166)) % 211.94/212.35 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 211.94/212.35 (step @p169 :rule cong :premises (@p168) :args (@t154)) % 211.94/212.35 (step @p170 :rule refl :args (@t82)) % 211.94/212.35 (step @p171 :rule refl :args (@t26)) % 211.94/212.35 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t26 @t82))) % 211.94/212.35 (step @p173 :rule symm :premises (@p172)) % 211.94/212.35 (step @p174 :rule eq_resolve :premises (@p171 @p173)) % 211.94/212.35 (step @p175 :rule cong :premises (@p174) :args (@t155)) % 211.94/212.35 (step @p176 :rule nary_cong :premises (@p175 @p169 @p163) :args (@t156)) % 211.94/212.35 (step @p177 :rule cong :premises (@p176) :args ((forall @t28 @t156))) % 211.94/212.35 (step @p178 :rule aci_norm :args ((= (or (or @t155 @t154) @t23) @t156))) % 211.94/212.35 (step @p179 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 211.94/212.35 (step @p180 :rule nary_cong :premises (@p179 @p160) :args ((or (not @t27) @t23))) % 211.94/212.35 (step @p181 :rule trans :premises (@p180 @p178)) % 211.94/212.35 (step @p182 :rule bool-impl-elim :args (@t27 @t23)) % 211.94/212.35 (step @p183 :rule trans :premises (@p182 @p181)) % 211.94/212.35 (step @p184 :rule cong :premises (@p183) :args (@t29)) % 211.94/212.35 (step @p185 :rule trans :premises (@p184 @p177)) % 211.94/212.35 (step @p186 :rule refl :args (@t134)) % 211.94/212.35 (step @p187 :rule refl :args (@t31)) % 211.94/212.35 (step @p188 :rule cong :premises (@p187 @p186) :args ((= @t31 @t134))) % 211.94/212.35 (step @p189 :rule symm :premises (@p188)) % 211.94/212.35 (step @p190 :rule eq_resolve :premises (@p187 @p189)) % 211.94/212.35 (step @p191 :rule cong :premises (@p190) :args (@t157)) % 211.94/212.35 (step @p192 :rule nary_cong :premises (@p191 @p174) :args (@t158)) % 211.94/212.35 (step @p193 :rule cong :premises (@p192) :args ((forall @t32 @t158))) % 211.94/212.35 (step @p194 :rule bool-impl-elim :args (@t31 @t26)) % 211.94/212.35 (step @p195 :rule cong :premises (@p194) :args (@t33)) % 211.94/212.35 (step @p196 :rule trans :premises (@p195 @p193)) % 211.94/212.35 (step @p197 :rule nary_cong :premises (@p196 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% 211.94/212.35 (step @p212 :rule cong :premises (@p211) :args (@t51)) % 211.94/212.35 (step @p213 :rule trans :premises (@p212 @p69)) % 211.94/212.35 (step @p214 :rule nary_cong :premises (@p213 @p47) :args (@t52)) % 211.94/212.35 (step @p215 :rule cong :premises (@p214 @p20) :args (@t53)) % 211.94/212.35 (step @p216 :rule cong :premises (@p215) :args (@t55)) % 211.94/212.35 (step @p217 :rule trans :premises (@p216 @p19)) % 211.94/212.35 (step @p218 :rule cong :premises (@p217) :args (@t57)) % 211.94/212.35 (step @p219 :rule refl :args (@t165)) % 211.94/212.35 (step @p220 :rule nary_cong :premises (@p219 @p8 @p7) :args (@t166)) % 211.94/212.35 (step @p221 :rule cong :premises (@p220) :args ((forall @t54 @t166))) % 211.94/212.35 (step @p222 :rule aci_norm :args ((= (or (or @t165 @t76) @t4) @t166))) % 211.94/212.35 (step @p223 :rule bool-and-de-morgan :args (@t164 @t75 true)) % 211.94/212.35 (step @p224 :rule nary_cong :premises (@p223 @p4) :args ((or (not @t167) @t4))) % 211.94/212.35 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@p419) :args (@t256 @t198 (@list @t203))) % 211.94/212.35 (step @p430 :rule bool-double-not-elim :args (@t253)) % 211.94/212.35 (step @p431 :rule refl :args (@t255)) % 211.94/212.35 (step @p432 :rule nary_cong :premises (@p431 @p430) :args ((or @t255 (not @t254)))) % 211.94/212.35 (step @p433 :rule cnf_or_neg :args (@t255 0)) % 211.94/212.35 (step @p434 :rule eq_resolve :premises (@p433 @p432)) % 211.94/212.35 (step @p435 :rule reordering :premises (@p434) :args ((or @t253 @t255))) % 211.94/212.35 (step @p436 :rule chain_m_resolution :premises (@p435 @p429) :args (@t253 @t198 @t257)) % 211.94/212.35 (step @p437 :rule cnf_equiv_neg1 :args (@t211)) % 211.94/212.35 (step @p438 :rule reordering :premises (@p437) :args ((or @t203 @t202 @t211))) % 211.94/212.35 (step @p439 :rule chain_m_resolution :premises (@p438 @p419 @p338) :args (@t202 (@list true true) (@list @t203 @t211))) % 211.94/212.35 (assume-push @p540 @t202) % 211.94/212.35 (step @p441 :rule instantiate :premises (@p540) :args (@t258)) % 211.94/212.35 (step-pop @p541 :rule scope :premises (@p441)) % 211.94/212.35 (step @p442 :rule process_scope :premises (@p541) :args (@t261)) % 211.94/212.35 (step @p444 :rule implies_elim :premises (@p442)) % 211.94/212.35 (step @p445 :rule chain_m_resolution :premises (@p444 @p439) :args (@t261 @t262 (@list @t202))) % 211.94/212.35 (step @p446 :rule cnf_or_neg :args (@t255 2)) % 211.94/212.35 (step @p447 :rule chain_m_resolution :premises (@p446 @p429) :args ((not @t249) @t198 @t257)) % 211.94/212.35 (step @p448 :rule bool-double-not-elim :args (@t251)) % 211.94/212.35 (step @p449 :rule nary_cong :premises (@p431 @p448) :args ((or @t255 (not @t252)))) % 211.94/212.35 (step @p450 :rule cnf_or_neg :args (@t255 1)) % 211.94/212.35 (step @p451 :rule eq_resolve :premises (@p450 @p449)) % 211.94/212.35 (step @p452 :rule reordering :premises (@p451) :args ((or @t251 @t255))) % 211.94/212.35 (step @p453 :rule chain_m_resolution :premises (@p452 @p429) :args (@t251 @t198 @t257)) % 211.94/212.35 (step @p454 :rule cnf_or_pos :args (@t261)) % 211.94/212.35 (step @p455 :rule reordering :premises (@p454) :args ((or @t252 @t249 @t260 (not @t261)))) % 211.94/212.35 (step @p456 :rule chain_m_resolution :premises (@p455 @p453 @p447 @p445) :args (@t260 @t263 (@list @t251 @t249 @t261))) % 211.94/212.35 (step @p457 :rule refl :args (@t274)) % 211.94/212.35 (step @p458 :rule bool-double-not-elim :args (@t259)) % 211.94/212.35 (step @p459 :rule nary_cong :premises (@p458 @p457) :args ((or (not @t260) @t274))) % 211.94/212.35 (assume-push @p542 @t260) % 211.94/212.35 (step @p461 :rule skolemize :premises (@p542)) % 211.94/212.35 (step-pop @p543 :rule scope :premises (@p461)) % 211.94/212.35 (step @p462 :rule process_scope :premises (@p543) :args (@t274)) % 211.94/212.35 (step @p464 :rule implies_elim :premises (@p462)) % 211.94/212.35 (step @p465 :rule eq_resolve :premises (@p464 @p459)) % 211.94/212.35 (step @p466 :rule chain_m_resolution :premises (@p465 @p456) :args (@t274 @t198 (@list @t259))) % 211.94/212.35 (step @p467 :rule bool-double-not-elim :args (@t270)) % 211.94/212.35 (step @p468 :rule refl :args (@t273)) % 211.94/212.35 (step @p469 :rule nary_cong :premises (@p468 @p467) :args ((or @t273 (not @t271)))) % 211.94/212.35 (step @p470 :rule cnf_or_neg :args (@t273 1)) % 211.94/212.35 (step @p471 :rule eq_resolve :premises (@p470 @p469)) % 211.94/212.35 (step @p472 :rule reordering :premises (@p471) :args ((or @t270 @t273))) % 211.94/212.35 (step @p473 :rule chain_m_resolution :premises (@p472 @p466) :args (@t270 @t198 @t275)) % 211.94/212.35 (assume-push @p544 @t270) % 211.94/212.35 (step @p475 :rule instantiate :premises (@p544) :args (@t258)) % 211.94/212.35 (step-pop @p545 :rule scope :premises (@p475)) % 211.94/212.35 (step @p476 :rule process_scope :premises (@p545) :args (@t281)) % 211.94/212.35 (step @p478 :rule implies_elim :premises (@p476)) % 211.94/212.35 (step @p479 :rule chain_m_resolution :premises (@p478 @p473) :args (@t281 @t262 (@list @t270))) % 211.94/212.35 (step @p480 :rule cnf_or_neg :args (@t273 0)) % 211.94/212.35 (step @p481 :rule chain_m_resolution :premises (@p480 @p466) :args ((not @t272) @t198 @t275)) % 211.94/212.35 (step @p482 :rule alpha_equiv :args ((forall (@list @t283 @t284 @t282) (or (not (_ @t248 @t283 @t284)) (not (_ @t248 @t284 @t282)) (_ @t248 @t283 @t282))) @t285 (@list @t21 @t24 @t5))) % 211.94/212.35 (step @p483 :rule alpha_equiv :args (@t251 (@list @t6 @t9 @t5) @t285)) % 211.94/212.35 (step @p484 :rule trans :premises (@p483 @p482)) % 211.94/212.35 (step @p485 :rule equiv_elim1 :premises (@p484)) % 211.94/212.35 (step @p486 :rule chain_m_resolution :premises (@p485 @p453) :args (@t277 @t262 (@list @t251))) % 211.94/212.35 (step @p487 :rule cnf_or_pos :args (@t281)) % 211.94/212.35 (step @p488 :rule reordering :premises (@p487) :args ((or @t278 @t272 @t280 (not @t281)))) % 211.94/212.35 (step @p489 :rule chain_m_resolution :premises (@p488 @p486 @p481 @p479) :args (@t280 @t263 (@list @t277 @t272 @t281))) % 211.94/212.35 (step @p490 :rule refl :args (@t292)) % 211.94/212.35 (step @p491 :rule bool-double-not-elim :args (@t279)) % 211.94/212.35 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or (not @t280) @t292))) % 211.94/212.35 (assume-push @p546 @t280) % 211.94/212.35 (step @p494 :rule skolemize :premises (@p546)) % 211.94/212.35 (step-pop @p547 :rule scope :premises (@p494)) % 211.94/212.35 (step @p495 :rule process_scope :premises (@p547) :args (@t292)) % 211.94/212.35 (step @p497 :rule implies_elim :premises (@p495)) % 211.94/212.36 (step @p498 :rule eq_resolve :premises (@p497 @p492)) % 211.94/212.36 (step @p499 :rule chain_m_resolution :premises (@p498 @p489) :args (@t292 @t198 (@list @t279))) % 211.94/212.36 (step @p500 :rule cnf_or_neg :args (@t291 1)) % 211.94/212.36 (step @p501 :rule chain_m_resolution :premises (@p500 @p499) :args ((not @t288) @t198 @t293)) % 211.94/212.36 (step @p502 :rule bool-double-not-elim :args (@t289)) % 211.94/212.36 (step @p503 :rule refl :args (@t291)) % 211.94/212.36 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or @t291 (not @t290)))) % 211.94/212.36 (step @p505 :rule cnf_or_neg :args (@t291 0)) % 211.94/212.36 (step @p506 :rule eq_resolve :premises (@p505 @p504)) % 211.94/212.36 (step @p507 :rule reordering :premises (@p506) :args ((or @t289 @t291))) % 211.94/212.36 (step @p508 :rule chain_m_resolution :premises (@p507 @p499) :args (@t289 @t198 @t293)) % 211.94/212.36 (step @p509 :rule bool-double-not-elim :args (@t265)) % 211.94/212.36 (step @p510 :rule nary_cong :premises (@p468 @p509) :args ((or @t273 (not @t266)))) % 211.94/212.36 (step @p511 :rule cnf_or_neg :args (@t273 2)) % 211.94/212.36 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 211.94/212.36 (step @p513 :rule reordering :premises (@p512) :args ((or @t265 @t273))) % 211.94/212.36 (step @p514 :rule chain_m_resolution :premises (@p513 @p466) :args (@t265 @t198 @t275)) % 211.94/212.36 (step @p515 :rule cnf_or_pos :args (@t294)) % 211.94/212.36 (step @p516 :rule reordering :premises (@p515) :args ((or @t266 @t290 @t288 @t295))) % 211.94/212.36 (step @p517 :rule chain_m_resolution :premises (@p516 @p514 @p508 @p501) :args (@t295 (@list false false true) (@list @t265 @t289 @t288))) % 211.94/212.36 (assume-push @p548 @t253) % 211.94/212.36 (step @p519 :rule instantiate :premises (@p548) :args ((@list @t287 @t286 @t264))) % 211.94/212.36 (step-pop @p549 :rule scope :premises (@p519)) % 211.94/212.36 (step @p520 :rule process_scope :premises (@p549) :args (@t294)) % 211.94/212.36 (step @p522 :rule implies_elim :premises (@p520)) % 211.94/212.36 (step @p523 false :rule chain_m_resolution :premises (@p522 @p517 @p436) :args (false (@list true false) (@list @t294 @t253))) % 211.94/212.36 ) % 211.94/212.36 % SZS output end Proof % 211.94/212.36 % cvc5 exiting %------------------------------------------------------------------------------