%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV571+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:56:08 AM UTC 2026 % Result : Theorem 158.90s 159.17s % Output : Proof 158.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.13 % Problem : SEV571+1 : TPTP v9.2.1. Released v9.1.0. % 0.10/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n015.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 18:40:19 EDT 2026 % 0.18/0.36 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 158.90/159.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 158.90/159.17 --- Run --no-e-matching --full-saturate-quant at 6... % 158.90/159.17 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 158.90/159.17 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 158.90/159.17 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 158.90/159.17 --- Run --trigger-sel=max --full-saturate-quant at 15... % 158.90/159.17 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 158.90/159.17 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 158.90/159.17 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.90/159.17 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.90/159.17 % SZS status Theorem % 158.90/159.17 % SZS output start Proof % 158.90/159.17 ( % 158.90/159.17 (declare-sort $$unsorted 0) % 158.90/159.17 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 158.90/159.17 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.e $$unsorted) % 158.90/159.17 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 158.90/159.17 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 158.90/159.17 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 158.90/159.17 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 158.90/159.17 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 158.90/159.17 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 158.90/159.17 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 158.90/159.17 (define @t1 () (@var "Y" $$unsorted)) % 158.90/159.17 (define @t2 () (@var "Z" $$unsorted)) % 158.90/159.17 (define @t3 () (tptp.mem @t2 @t1)) % 158.90/159.17 (define @t4 () (@var "X" $$unsorted)) % 158.90/159.17 (define @t5 () (tptp.mem @t2 @t4)) % 158.90/159.17 (define @t6 () (@list @t2)) % 158.90/159.17 (define @t7 () (forall @t6 (=> @t5 @t3))) % 158.90/159.17 (define @t8 () (tptp.subq @t4 @t1)) % 158.90/159.17 (define @t9 () (= @t8 @t7)) % 158.90/159.17 (define @t10 () (@list @t4 @t1)) % 158.90/159.17 (define @t11 () (forall @t10 @t9)) % 158.90/159.17 (define @t12 () (= @t4 @t1)) % 158.90/159.17 (define @t13 () (tptp.subq @t1 @t4)) % 158.90/159.17 (define @t14 () (=> @t13 @t12)) % 158.90/159.17 (define @t15 () (forall @t10 (=> @t8 @t14))) % 158.90/159.17 (define @t16 () (@list @t4)) % 158.90/159.17 (define @t17 () (tptp.s @t1)) % 158.90/159.17 (define @t18 () (tptp.mem @t4 @t17)) % 158.90/159.17 (define @t19 () (forall @t10 (= @t18 @t12))) % 158.90/159.17 (define @t20 () (tptp.mem @t4 @t2)) % 158.90/159.17 (define @t21 () (tptp.mem @t4 @t1)) % 158.90/159.17 (define @t22 () (@list @t4 @t1 @t2)) % 158.90/159.17 (define @t23 () (tptp.p @t1)) % 158.90/159.17 (define @t24 () (@list @t1)) % 158.90/159.17 (define @t25 () (not @t8)) % 158.90/159.17 (define @t26 () (tptp.n tptp.e)) % 158.90/159.17 (define @t27 () (tptp.n @t26)) % 158.90/159.17 (define @t28 () (tptp.n @t27)) % 158.90/159.17 (define @t29 () (tptp.s @t28)) % 158.90/159.17 (define @t30 () (tptp.s @t27)) % 158.90/159.17 (define @t31 () (tptp.n @t30)) % 158.90/159.17 (define @t32 () (tptp.s @t26)) % 158.90/159.17 (define @t33 () (tptp.n @t32)) % 158.90/159.17 (define @t34 () (tptp.s @t33)) % 158.90/159.17 (define @t35 () (tptp.u @t34 @t31)) % 158.90/159.17 (define @t36 () (tptp.u @t26 @t33)) % 158.90/159.17 (define @t37 () (tptp.s @t36)) % 158.90/159.17 (define @t38 () (tptp.u @t37 @t35)) % 158.90/159.17 (define @t39 () (tptp.u @t38 @t29)) % 158.90/159.17 (define @t40 () (tptp.s @t32)) % 158.90/159.17 (define @t41 () (tptp.a @t40 @t28)) % 158.90/159.17 (define @t42 () (tptp.u @t38 @t41)) % 158.90/159.17 (define @t43 () (tptp.subq @t42 @t39)) % 158.90/159.17 (define @t44 () (not @t43)) % 158.90/159.17 (define @t45 () (@list @t27 @t32)) % 158.90/159.17 (define @t46 () (not @t13)) % 158.90/159.17 (define @t47 () (@list @t32 @t27)) % 158.90/159.17 (define @t48 () (tptp.mem @t2 @t27)) % 158.90/159.17 (define @t49 () (tptp.mem @t2 @t32)) % 158.90/159.17 (define @t50 () (forall @t6 (or (not @t49) @t48))) % 158.90/159.17 (define @t51 () (@quantifiers_skolemize @t50 0)) % 158.90/159.17 (define @t52 () (tptp.mem @t51 @t32)) % 158.90/159.17 (define @t53 () (tptp.mem @t51 @t27)) % 158.90/159.17 (define @t54 () (not @t52)) % 158.90/159.17 (define @t55 () (or @t54 @t53)) % 158.90/159.17 (define @t56 () (or (tptp.mem @t51 @t26) @t52)) % 158.90/159.17 (define @t57 () (tptp.u @t26 @t32)) % 158.90/159.17 (define @t58 () (tptp.mem @t51 @t57)) % 158.90/159.17 (define @t59 () (= @t58 @t56)) % 158.90/159.17 (define @t60 () (@list @t26 @t26)) % 158.90/159.17 (define @t61 () (not @t58)) % 158.90/159.17 (define @t62 () (tptp.a @t26 @t26)) % 158.90/159.17 (define @t63 () (= @t62 @t57)) % 158.90/159.17 (define @t64 () (not @t63)) % 158.90/159.17 (define @t65 () (= @t27 @t62)) % 158.90/159.17 (define @t66 () (not @t65)) % 158.90/159.17 (define @t67 () (not @t53)) % 158.90/159.17 (define @t68 () (and @t65 @t63 @t67)) % 158.90/159.17 (define @t69 () (@list false false false false false true false)) % 158.90/159.17 (define @t70 () (not @t55)) % 158.90/159.17 (define @t71 () (not @t50)) % 158.90/159.17 (define @t72 () (@list false)) % 158.90/159.17 (define @t73 () (tptp.subq @t32 @t27)) % 158.90/159.17 (define @t74 () (= @t73 @t50)) % 158.90/159.17 (define @t75 () (@list false false)) % 158.90/159.17 (define @t76 () (forall @t6 (or (not (tptp.mem @t2 @t26)) @t48))) % 158.90/159.17 (define @t77 () (@quantifiers_skolemize @t76 0)) % 158.90/159.17 (define @t78 () (tptp.mem @t77 @t26)) % 158.90/159.17 (define @t79 () (tptp.mem @t77 @t27)) % 158.90/159.17 (define @t80 () (not @t78)) % 158.90/159.17 (define @t81 () (or @t80 @t79)) % 158.90/159.17 (define @t82 () (or @t78 (tptp.mem @t77 @t32))) % 158.90/159.17 (define @t83 () (tptp.mem @t77 @t57)) % 158.90/159.17 (define @t84 () (= @t83 @t82)) % 158.90/159.17 (define @t85 () (not @t83)) % 158.90/159.17 (define @t86 () (not @t79)) % 158.90/159.17 (define @t87 () (and @t65 @t63 @t86)) % 158.90/159.17 (define @t88 () (not @t81)) % 158.90/159.17 (define @t89 () (not @t76)) % 158.90/159.17 (define @t90 () (@list tptp.e)) % 158.90/159.17 (define @t91 () (tptp.mem tptp.e @t27)) % 158.90/159.17 (define @t92 () (tptp.mem tptp.e @t26)) % 158.90/159.17 (define @t93 () (not @t92)) % 158.90/159.17 (define @t94 () (or @t93 @t91)) % 158.90/159.17 (define @t95 () (tptp.s tptp.e)) % 158.90/159.17 (define @t96 () (tptp.mem tptp.e @t95)) % 158.90/159.17 (define @t97 () (= (= tptp.e tptp.e) @t96)) % 158.90/159.17 (define @t98 () (forall @t10 (= @t12 @t18))) % 158.90/159.17 (define @t99 () (@list tptp.e tptp.e)) % 158.90/159.17 (define @t100 () (@list @t98)) % 158.90/159.17 (define @t101 () (tptp.mem tptp.e tptp.e)) % 158.90/159.17 (define @t102 () (or @t101 @t96)) % 158.90/159.17 (define @t103 () (tptp.u tptp.e @t95)) % 158.90/159.17 (define @t104 () (tptp.mem tptp.e @t103)) % 158.90/159.17 (define @t105 () (= @t104 @t102)) % 158.90/159.17 (define @t106 () (not @t104)) % 158.90/159.17 (define @t107 () (tptp.a tptp.e tptp.e)) % 158.90/159.17 (define @t108 () (= @t107 @t103)) % 158.90/159.17 (define @t109 () (not @t108)) % 158.90/159.17 (define @t110 () (= tptp.e @t26)) % 158.90/159.17 (define @t111 () (not @t110)) % 158.90/159.17 (define @t112 () (= @t26 @t107)) % 158.90/159.17 (define @t113 () (not @t112)) % 158.90/159.17 (define @t114 () (not @t101)) % 158.90/159.17 (define @t115 () (= false true)) % 158.90/159.17 (define @t116 () (and @t104 @t108 @t112 @t110 @t114)) % 158.90/159.17 (define @t117 () (tptp.mem tptp.e @t32)) % 158.90/159.17 (define @t118 () (= @t110 @t117)) % 158.90/159.17 (define @t119 () (not @t117)) % 158.90/159.17 (define @t120 () (@list true false)) % 158.90/159.17 (define @t121 () (= @t27 @t32)) % 158.90/159.17 (define @t122 () (not @t121)) % 158.90/159.17 (define @t123 () (not @t91)) % 158.90/159.17 (define @t124 () (not @t119)) % 158.90/159.17 (define @t125 () (and @t91 @t121 @t119)) % 158.90/159.17 (define @t126 () (not @t73)) % 158.90/159.17 (define @t127 () (tptp.subq @t27 @t32)) % 158.90/159.17 (define @t128 () (not @t127)) % 158.90/159.17 (define @t129 () (or @t128 @t126 @t121)) % 158.90/159.17 (define @t130 () (not @t48)) % 158.90/159.17 (define @t131 () (forall @t6 (or @t130 @t49))) % 158.90/159.17 (define @t132 () (= @t127 @t131)) % 158.90/159.17 (define @t133 () (not @t131)) % 158.90/159.17 (define @t134 () (@quantifiers_skolemize @t131 0)) % 158.90/159.17 (define @t135 () (tptp.mem @t134 @t32)) % 158.90/159.17 (define @t136 () (tptp.mem @t134 @t27)) % 158.90/159.17 (define @t137 () (not @t136)) % 158.90/159.17 (define @t138 () (or @t137 @t135)) % 158.90/159.17 (define @t139 () (not @t138)) % 158.90/159.17 (define @t140 () (@list true)) % 158.90/159.17 (define @t141 () (not @t135)) % 158.90/159.17 (define @t142 () (@list @t138)) % 158.90/159.17 (define @t143 () (tptp.mem @t134 @t57)) % 158.90/159.17 (define @t144 () (and @t65 @t63 @t136)) % 158.90/159.17 (define @t145 () (tptp.mem @t134 @t26)) % 158.90/159.17 (define @t146 () (or @t145 @t135)) % 158.90/159.17 (define @t147 () (= @t143 @t146)) % 158.90/159.17 (define @t148 () (tptp.mem @t32 @t32)) % 158.90/159.17 (define @t149 () (= @t32 @t26)) % 158.90/159.17 (define @t150 () (= @t149 @t148)) % 158.90/159.17 (define @t151 () (= @t26 @t32)) % 158.90/159.17 (define @t152 () (= @t148 @t151)) % 158.90/159.17 (define @t153 () (tptp.mem @t32 @t40)) % 158.90/159.17 (define @t154 () (= @t32 @t32)) % 158.90/159.17 (define @t155 () (= @t154 @t153)) % 158.90/159.17 (define @t156 () (@list @t32 @t32)) % 158.90/159.17 (define @t157 () (or @t148 @t153)) % 158.90/159.17 (define @t158 () (@list @t153)) % 158.90/159.17 (define @t159 () (tptp.u @t32 @t40)) % 158.90/159.17 (define @t160 () (tptp.mem @t32 @t159)) % 158.90/159.17 (define @t161 () (= @t160 @t157)) % 158.90/159.17 (define @t162 () (= @t32 @t33)) % 158.90/159.17 (define @t163 () (tptp.mem @t32 @t34)) % 158.90/159.17 (define @t164 () (= @t162 @t163)) % 158.90/159.17 (define @t165 () (= @t163 @t162)) % 158.90/159.17 (define @t166 () (= @t32 @t30)) % 158.90/159.17 (define @t167 () (tptp.s @t30)) % 158.90/159.17 (define @t168 () (tptp.mem @t32 @t167)) % 158.90/159.17 (define @t169 () (= @t166 @t168)) % 158.90/159.17 (define @t170 () (= @t168 @t166)) % 158.90/159.17 (define @t171 () (tptp.mem @t27 @t30)) % 158.90/159.17 (define @t172 () (= (= @t27 @t27) @t171)) % 158.90/159.17 (define @t173 () (@list @t27 @t27)) % 158.90/159.18 (define @t174 () (tptp.mem @t27 @t32)) % 158.90/159.18 (define @t175 () (= (= @t27 @t26) @t174)) % 158.90/159.18 (define @t176 () (= @t26 @t27)) % 158.90/159.18 (define @t177 () (= @t176 @t174)) % 158.90/159.18 (define @t178 () (tptp.mem @t26 @t95)) % 158.90/159.18 (define @t179 () (= (= @t26 tptp.e) @t178)) % 158.90/159.18 (define @t180 () (= @t110 @t178)) % 158.90/159.18 (define @t181 () (not @t178)) % 158.90/159.18 (define @t182 () (tptp.mem @t27 @t95)) % 158.90/159.18 (define @t183 () (and @t176 @t182)) % 158.90/159.18 (define @t184 () (not @t176)) % 158.90/159.18 (define @t185 () (@list @t27)) % 158.90/159.18 (define @t186 () (tptp.mem @t27 tptp.e)) % 158.90/159.18 (define @t187 () (or @t186 @t182)) % 158.90/159.18 (define @t188 () (tptp.mem @t27 @t103)) % 158.90/159.18 (define @t189 () (= @t188 @t187)) % 158.90/159.18 (define @t190 () (tptp.mem @t26 @t32)) % 158.90/159.18 (define @t191 () (= (= @t26 @t26) @t190)) % 158.90/159.18 (define @t192 () (tptp.mem @t26 @t26)) % 158.90/159.18 (define @t193 () (or @t192 @t190)) % 158.90/159.18 (define @t194 () (tptp.mem @t26 @t57)) % 158.90/159.18 (define @t195 () (= @t194 @t193)) % 158.90/159.18 (define @t196 () (and @t112 @t65 @t108 @t63 @t176 @t194)) % 158.90/159.18 (define @t197 () (not @t174)) % 158.90/159.18 (define @t198 () (not @t166)) % 158.90/159.18 (define @t199 () (not @t171)) % 158.90/159.18 (define @t200 () (= true false)) % 158.90/159.18 (define @t201 () (and @t197 @t166 @t171)) % 158.90/159.18 (define @t202 () (not @t168)) % 158.90/159.18 (define @t203 () (= @t32 @t36)) % 158.90/159.18 (define @t204 () (tptp.mem @t32 @t37)) % 158.90/159.18 (define @t205 () (= @t203 @t204)) % 158.90/159.18 (define @t206 () (= @t204 @t203)) % 158.90/159.18 (define @t207 () (or @t92 (tptp.mem tptp.e @t33))) % 158.90/159.18 (define @t208 () (tptp.mem tptp.e @t36)) % 158.90/159.18 (define @t209 () (= @t208 @t207)) % 158.90/159.18 (define @t210 () (not @t208)) % 158.90/159.18 (define @t211 () (not @t203)) % 158.90/159.18 (define @t212 () (not @t204)) % 158.90/159.18 (define @t213 () (tptp.mem @t32 @t30)) % 158.90/159.18 (define @t214 () (= @t32 @t27)) % 158.90/159.18 (define @t215 () (= @t214 @t213)) % 158.90/159.18 (define @t216 () (= @t121 @t213)) % 158.90/159.18 (define @t217 () (or @t213 @t168)) % 158.90/159.18 (define @t218 () (tptp.u @t30 @t167)) % 158.90/159.18 (define @t219 () (tptp.mem @t32 @t218)) % 158.90/159.18 (define @t220 () (= @t219 @t217)) % 158.90/159.18 (define @t221 () (not @t219)) % 158.90/159.18 (define @t222 () (tptp.mem @t32 @t31)) % 158.90/159.18 (define @t223 () (not @t222)) % 158.90/159.18 (define @t224 () (tptp.a @t30 @t30)) % 158.90/159.18 (define @t225 () (= @t224 @t218)) % 158.90/159.18 (define @t226 () (not @t225)) % 158.90/159.18 (define @t227 () (= @t31 @t224)) % 158.90/159.18 (define @t228 () (not @t227)) % 158.90/159.18 (define @t229 () (and @t227 @t225 @t221)) % 158.90/159.18 (define @t230 () (or @t163 @t222)) % 158.90/159.18 (define @t231 () (forall @t6 (or @t130 (tptp.mem @t2 @t28)))) % 158.90/159.18 (define @t232 () (@quantifiers_skolemize @t231 0)) % 158.90/159.18 (define @t233 () (tptp.mem @t232 @t27)) % 158.90/159.18 (define @t234 () (tptp.mem @t232 @t28)) % 158.90/159.18 (define @t235 () (not @t233)) % 158.90/159.18 (define @t236 () (or @t235 @t234)) % 158.90/159.18 (define @t237 () (or @t233 (tptp.mem @t232 @t30))) % 158.90/159.18 (define @t238 () (tptp.u @t27 @t30)) % 158.90/159.18 (define @t239 () (tptp.mem @t232 @t238)) % 158.90/159.18 (define @t240 () (= @t239 @t237)) % 158.90/159.18 (define @t241 () (not @t239)) % 158.90/159.18 (define @t242 () (tptp.a @t27 @t27)) % 158.90/159.18 (define @t243 () (= @t242 @t238)) % 158.90/159.18 (define @t244 () (not @t243)) % 158.90/159.18 (define @t245 () (= @t28 @t242)) % 158.90/159.18 (define @t246 () (not @t245)) % 158.90/159.18 (define @t247 () (not @t234)) % 158.90/159.18 (define @t248 () (and @t245 @t243 @t247)) % 158.90/159.18 (define @t249 () (not @t236)) % 158.90/159.18 (define @t250 () (not @t231)) % 158.90/159.18 (define @t251 () (tptp.mem @t134 @t28)) % 158.90/159.18 (define @t252 () (or @t137 @t251)) % 158.90/159.18 (define @t253 () (tptp.mem @t32 @t35)) % 158.90/159.18 (define @t254 () (= @t253 @t230)) % 158.90/159.18 (define @t255 () (not @t251)) % 158.90/159.18 (define @t256 () (= @t28 @t32)) % 158.90/159.18 (define @t257 () (not @t256)) % 158.90/159.18 (define @t258 () (not @t141)) % 158.90/159.18 (define @t259 () (and @t251 @t256 @t141)) % 158.90/159.18 (define @t260 () (or @t204 @t253)) % 158.90/159.18 (define @t261 () (tptp.mem @t32 @t29)) % 158.90/159.18 (define @t262 () (= @t32 @t28)) % 158.90/159.18 (define @t263 () (= @t262 @t261)) % 158.90/159.18 (define @t264 () (= @t261 @t256)) % 158.90/159.18 (define @t265 () (tptp.mem @t32 @t38)) % 158.90/159.18 (define @t266 () (= @t265 @t260)) % 158.90/159.18 (define @t267 () (forall @t6 (or (not (tptp.mem @t2 @t42)) (tptp.mem @t2 @t39)))) % 158.90/159.18 (define @t268 () (= @t43 @t267)) % 158.90/159.18 (define @t269 () (@list @t32)) % 158.90/159.18 (define @t270 () (or @t153 @t261)) % 158.90/159.18 (define @t271 () (tptp.mem @t32 (tptp.u @t40 @t29))) % 158.90/159.18 (define @t272 () (= @t271 @t270)) % 158.90/159.18 (define @t273 () (tptp.mem @t32 @t41)) % 158.90/159.18 (define @t274 () (or @t265 @t273)) % 158.90/159.18 (define @t275 () (tptp.mem @t32 @t42)) % 158.90/159.18 (define @t276 () (= @t275 @t274)) % 158.90/159.18 (define @t277 () (tptp.mem @t32 @t39)) % 158.90/159.18 (define @t278 () (not @t275)) % 158.90/159.18 (define @t279 () (or @t278 @t277)) % 158.90/159.18 (define @t280 () (or @t265 @t261)) % 158.90/159.18 (define @t281 () (= @t277 @t280)) % 158.90/159.18 (define @t282 () (tptp.a @t32 @t32)) % 158.90/159.18 (define @t283 () (= @t33 @t282)) % 158.90/159.18 (define @t284 () (= @t282 @t159)) % 158.90/159.18 (define @t285 () (and @t283 @t284 @t162 @t160)) % 158.90/159.18 (define @t286 () (not @t145)) % 158.90/159.18 (define @t287 () (not @t151)) % 158.90/159.18 (define @t288 () (and @t141 @t151 @t145)) % 158.90/159.18 (assume @p1 @t11) % 158.90/159.18 (assume @p2 @t15) % 158.90/159.18 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 158.90/159.18 (assume @p4 (forall @t16 (not (tptp.mem @t4 tptp.e)))) % 158.90/159.18 (assume @p5 @t19) % 158.90/159.18 (assume @p6 (forall @t22 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t21 @t20)))) % 158.90/159.18 (assume @p7 (forall @t22 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t21 (not @t20))))) % 158.90/159.18 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t17)))) % 158.90/159.18 (assume @p9 (forall @t16 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 158.90/159.18 (assume @p10 (forall @t10 (= (tptp.mem @t4 @t23) @t8))) % 158.90/159.18 (assume @p11 (forall @t16 (= (tptp.atleast2p @t4) (exists @t24 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t23))))))) % 158.90/159.18 (assume @p12 (forall @t16 (= (tptp.atleast3p @t4) (exists @t24 (and @t13 (tptp.atleast2p @t1) @t25))))) % 158.90/159.18 (assume @p13 (forall @t16 (= (tptp.atleast4p @t4) (exists @t24 (and @t13 (tptp.atleast3p @t1) @t25))))) % 158.90/159.18 (assume @p14 (forall @t16 (= (tptp.atleast5p @t4) (exists @t24 (and @t13 (tptp.atleast4p @t1) @t25))))) % 158.90/159.18 (assume @p15 (forall @t16 (= (tptp.atleast6p @t4) (exists @t24 (and @t13 (tptp.atleast5p @t1) @t25))))) % 158.90/159.18 (assume @p16 (forall @t16 (= (tptp.atleast7p @t4) (exists @t24 (and @t13 (tptp.atleast6p @t1) @t25))))) % 158.90/159.18 (assume @p17 (forall @t16 (= (tptp.atleast8p @t4) (exists @t24 (and @t13 (tptp.atleast7p @t1) @t25))))) % 158.90/159.18 (assume @p18 (forall @t16 (= (tptp.atleast9p @t4) (exists @t24 (and @t13 (tptp.atleast8p @t1) @t25))))) % 158.90/159.18 (assume @p19 (forall @t16 (= (tptp.atleast10p @t4) (exists @t24 (and @t13 (tptp.atleast9p @t1) @t25))))) % 158.90/159.18 (assume @p20 (forall @t16 (= (tptp.atleast11p @t4) (exists @t24 (and @t13 (tptp.atleast10p @t1) @t25))))) % 158.90/159.18 (assume @p21 (forall @t16 (= (tptp.atleast12p @t4) (exists @t24 (and @t13 (tptp.atleast11p @t1) @t25))))) % 158.90/159.18 (assume @p22 (forall @t16 (= (tptp.atleast13p @t4) (exists @t24 (and @t13 (tptp.atleast12p @t1) @t25))))) % 158.90/159.18 (assume @p23 (forall @t16 (= (tptp.atleast14p @t4) (exists @t24 (and @t13 (tptp.atleast13p @t1) @t25))))) % 158.90/159.18 (assume @p24 (forall @t16 (= (tptp.atleast15p @t4) (exists @t24 (and @t13 (tptp.atleast14p @t1) @t25))))) % 158.90/159.18 (assume @p25 (forall @t16 (= (tptp.atleast16p @t4) (exists @t24 (and @t13 (tptp.atleast15p @t1) @t25))))) % 158.90/159.18 (assume @p26 (not @t44)) % 158.90/159.18 (assume @p27 true) % 158.90/159.18 (step @p28 :rule bool-impl-elim :args (@t5 @t3)) % 158.90/159.18 (step @p29 :rule cong :premises (@p28) :args (@t7)) % 158.90/159.18 (step @p30 :rule refl :args (@t8)) % 158.90/159.18 (step @p31 :rule cong :premises (@p30 @p29) :args (@t9)) % 158.90/159.18 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 158.90/159.18 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 158.90/159.18 (step @p34 :rule instantiate :premises (@p33) :args (@t45)) % 158.90/159.18 (step @p35 :rule aci_norm :args ((= (or @t25 (or @t46 @t12)) (or @t25 @t46 @t12)))) % 158.90/159.18 (step @p36 :rule bool-impl-elim :args (@t13 @t12)) % 158.90/159.18 (step @p37 :rule refl :args (@t25)) % 158.90/159.18 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t25 @t14))) % 158.90/159.18 (step @p39 :rule trans :premises (@p38 @p35)) % 158.90/159.18 (step @p40 :rule bool-impl-elim :args (@t8 @t14)) % 158.90/159.18 (step @p41 :rule trans :premises (@p40 @p39)) % 158.90/159.18 (step @p42 :rule cong :premises (@p41) :args (@t15)) % 158.90/159.18 (step @p43 :rule eq_resolve :premises (@p2 @p42)) % 158.90/159.18 (step @p44 :rule instantiate :premises (@p43) :args (@t45)) % 158.90/159.18 (step @p45 :rule instantiate :premises (@p33) :args (@t47)) % 158.90/159.18 (step @p46 :rule bool-double-not-elim :args (@t52)) % 158.90/159.18 (step @p47 :rule refl :args (@t55)) % 158.90/159.18 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t55 (not @t54)))) % 158.90/159.18 (step @p49 :rule cnf_or_neg :args (@t55 0)) % 158.90/159.18 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 158.90/159.18 (step @p51 :rule reordering :premises (@p50) :args ((or @t52 @t55))) % 158.90/159.18 (step @p52 :rule cnf_or_neg :args (@t55 1)) % 158.90/159.18 (step @p53 :rule cnf_or_neg :args (@t56 1)) % 158.90/159.18 (step @p54 :rule reordering :premises (@p53) :args ((or @t54 @t56))) % 158.90/159.18 (step @p55 :rule instantiate :premises (@p6) :args ((@list @t51 @t26 @t32))) % 158.90/159.18 (step @p56 :rule cnf_equiv_pos2 :args (@t59)) % 158.90/159.18 (step @p57 :rule reordering :premises (@p56) :args ((or @t58 (not @t56) (not @t59)))) % 158.90/159.18 (step @p58 :rule instantiate :premises (@p9) :args ((@list @t26))) % 158.90/159.18 (step @p59 :rule instantiate :premises (@p8) :args (@t60)) % 158.90/159.18 (step @p60 :rule refl :args (@t61)) % 158.90/159.18 (step @p61 :rule bool-double-not-elim :args (@t53)) % 158.90/159.18 (step @p62 :rule refl :args (@t64)) % 158.90/159.18 (step @p63 :rule refl :args (@t66)) % 158.90/159.18 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60) :args ((or @t66 @t64 (not @t67) @t61))) % 158.90/159.18 (assume-push @p881 @t65) % 158.90/159.18 (assume-push @p882 @t63) % 158.90/159.18 (assume-push @p883 @t67) % 158.90/159.18 (assume-push @p884 @t67) % 158.90/159.18 (assume-push @p885 @t65) % 158.90/159.18 (assume-push @p886 @t63) % 158.90/159.18 (step @p71 :rule false_intro :premises (@p883)) % 158.90/159.18 (step @p72 :rule symm :premises (@p58)) % 158.90/159.18 (step @p73 :rule symm :premises (@p59)) % 158.90/159.18 (step @p74 :rule trans :premises (@p73 @p72)) % 158.90/159.18 (step @p75 :rule refl :args (@t51)) % 158.90/159.18 (step @p76 :rule cong :premises (@p75 @p74) :args (@t58)) % 158.90/159.18 (step @p77 :rule trans :premises (@p76 @p71)) % 158.90/159.18 (step @p78 :rule false_elim :premises (@p77)) % 158.90/159.18 (step-pop @p887 :rule scope :premises (@p78)) % 158.90/159.18 (step-pop @p888 :rule scope :premises (@p887)) % 158.90/159.18 (step-pop @p889 :rule scope :premises (@p888)) % 158.90/159.18 (step @p79 :rule process_scope :premises (@p889) :args (@t61)) % 158.90/159.18 (step @p83 :rule and_intro :premises (@p883 @p58 @p59)) % 158.90/159.18 (step @p84 :rule modus_ponens :premises (@p83 @p79)) % 158.90/159.18 (step-pop @p890 :rule scope :premises (@p84)) % 158.90/159.18 (step-pop @p891 :rule scope :premises (@p890)) % 158.90/159.18 (step-pop @p892 :rule scope :premises (@p891)) % 158.90/159.18 (step @p85 :rule process_scope :premises (@p892) :args (@t61)) % 158.90/159.18 (step @p89 :rule implies_elim :premises (@p85)) % 158.90/159.18 (step @p90 :rule cnf_and_neg :args (@t68)) % 158.90/159.18 (step @p91 :rule resolution :premises (@p90 @p89) :args (true @t68)) % 158.90/159.18 (step @p92 :rule eq_resolve :premises (@p91 @p64)) % 158.90/159.18 (step @p93 :rule chain_m_resolution :premises (@p92 @p59 @p58 @p57 @p55 @p54 @p52 @p51) :args (@t55 @t69 (@list @t63 @t65 @t58 @t59 @t56 @t53 @t52))) % 158.90/159.18 (step @p94 :rule refl :args (@t70)) % 158.90/159.18 (step @p95 :rule bool-double-not-elim :args (@t50)) % 158.90/159.18 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or (not @t71) @t70))) % 158.90/159.18 (assume-push @p893 @t71) % 158.90/159.18 (step @p98 :rule skolemize :premises (@p893)) % 158.90/159.18 (step-pop @p894 :rule scope :premises (@p98)) % 158.90/159.18 (step @p99 :rule process_scope :premises (@p894) :args (@t70)) % 158.90/159.18 (step @p101 :rule implies_elim :premises (@p99)) % 158.90/159.18 (step @p102 :rule eq_resolve :premises (@p101 @p96)) % 158.90/159.18 (step @p103 :rule chain_m_resolution :premises (@p102 @p93) :args (@t50 @t72 (@list @t55))) % 158.90/159.18 (step @p104 :rule cnf_equiv_pos2 :args (@t74)) % 158.90/159.18 (step @p105 :rule reordering :premises (@p104) :args ((or @t73 @t71 (not @t74)))) % 158.90/159.18 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p45) :args (@t73 @t75 (@list @t50 @t74))) % 158.90/159.18 (step @p107 :rule bool-double-not-elim :args (@t78)) % 158.90/159.18 (step @p108 :rule refl :args (@t81)) % 158.90/159.18 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t81 (not @t80)))) % 158.90/159.18 (step @p110 :rule cnf_or_neg :args (@t81 0)) % 158.90/159.18 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 158.90/159.18 (step @p112 :rule reordering :premises (@p111) :args ((or @t78 @t81))) % 158.90/159.18 (step @p113 :rule cnf_or_neg :args (@t81 1)) % 158.90/159.18 (step @p114 :rule cnf_or_neg :args (@t82 0)) % 158.90/159.18 (step @p115 :rule reordering :premises (@p114) :args ((or @t80 @t82))) % 158.90/159.18 (step @p116 :rule instantiate :premises (@p6) :args ((@list @t77 @t26 @t32))) % 158.90/159.18 (step @p117 :rule cnf_equiv_pos2 :args (@t84)) % 158.90/159.18 (step @p118 :rule reordering :premises (@p117) :args ((or @t83 (not @t82) (not @t84)))) % 158.90/159.18 (step @p119 :rule refl :args (@t85)) % 158.90/159.18 (step @p120 :rule bool-double-not-elim :args (@t79)) % 158.90/159.18 (step @p121 :rule nary_cong :premises (@p63 @p62 @p120 @p119) :args ((or @t66 @t64 (not @t86) @t85))) % 158.90/159.18 (assume-push @p895 @t65) % 158.90/159.18 (assume-push @p896 @t63) % 158.90/159.18 (assume-push @p897 @t86) % 158.90/159.18 (assume-push @p898 @t86) % 158.90/159.18 (assume-push @p899 @t65) % 158.90/159.18 (assume-push @p900 @t63) % 158.90/159.18 (step @p128 :rule false_intro :premises (@p897)) % 158.90/159.18 (step @p72 :rule symm :premises (@p58)) % 158.90/159.18 (step @p73 :rule symm :premises (@p59)) % 158.90/159.18 (step @p74 :rule trans :premises (@p73 @p72)) % 158.90/159.18 (step @p129 :rule refl :args (@t77)) % 158.90/159.18 (step @p130 :rule cong :premises (@p129 @p74) :args (@t83)) % 158.90/159.18 (step @p131 :rule trans :premises (@p130 @p128)) % 158.90/159.18 (step @p132 :rule false_elim :premises (@p131)) % 158.90/159.18 (step-pop @p901 :rule scope :premises (@p132)) % 158.90/159.18 (step-pop @p902 :rule scope :premises (@p901)) % 158.90/159.18 (step-pop @p903 :rule scope :premises (@p902)) % 158.90/159.18 (step @p133 :rule process_scope :premises (@p903) :args (@t85)) % 158.90/159.18 (step @p137 :rule and_intro :premises (@p897 @p58 @p59)) % 158.90/159.18 (step @p138 :rule modus_ponens :premises (@p137 @p133)) % 158.90/159.18 (step-pop @p904 :rule scope :premises (@p138)) % 158.90/159.18 (step-pop @p905 :rule scope :premises (@p904)) % 158.90/159.18 (step-pop @p906 :rule scope :premises (@p905)) % 158.90/159.18 (step @p139 :rule process_scope :premises (@p906) :args (@t85)) % 158.90/159.18 (step @p143 :rule implies_elim :premises (@p139)) % 158.90/159.18 (step @p144 :rule cnf_and_neg :args (@t87)) % 158.90/159.18 (step @p145 :rule resolution :premises (@p144 @p143) :args (true @t87)) % 158.90/159.18 (step @p146 :rule eq_resolve :premises (@p145 @p121)) % 158.90/159.18 (step @p147 :rule chain_m_resolution :premises (@p146 @p59 @p58 @p118 @p116 @p115 @p113 @p112) :args (@t81 @t69 (@list @t63 @t65 @t83 @t84 @t82 @t79 @t78))) % 158.90/159.18 (step @p148 :rule refl :args (@t88)) % 158.90/159.18 (step @p149 :rule bool-double-not-elim :args (@t76)) % 158.90/159.18 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t89) @t88))) % 158.90/159.18 (assume-push @p907 @t89) % 158.90/159.18 (step @p152 :rule skolemize :premises (@p907)) % 158.90/159.18 (step-pop @p908 :rule scope :premises (@p152)) % 158.90/159.18 (step @p153 :rule process_scope :premises (@p908) :args (@t88)) % 158.90/159.18 (step @p155 :rule implies_elim :premises (@p153)) % 158.90/159.18 (step @p156 :rule eq_resolve :premises (@p155 @p150)) % 158.90/159.18 (step @p157 :rule chain_m_resolution :premises (@p156 @p147) :args (@t76 @t72 (@list @t81))) % 158.90/159.18 (assume-push @p909 @t76) % 158.90/159.18 (step @p159 :rule instantiate :premises (@p909) :args (@t90)) % 158.90/159.18 (step-pop @p910 :rule scope :premises (@p159)) % 158.90/159.18 (step @p160 :rule process_scope :premises (@p910) :args (@t94)) % 158.90/159.18 (step @p162 :rule implies_elim :premises (@p160)) % 158.90/159.18 (step @p163 :rule chain_m_resolution :premises (@p162 @p157) :args (@t94 @t72 (@list @t76))) % 158.90/159.18 (step @p164 :rule instantiate :premises (@p6) :args ((@list tptp.e tptp.e @t95))) % 158.90/159.18 (step @p165 :rule eq-symm :args (@t18 @t12)) % 158.90/159.18 (step @p166 :rule cong :premises (@p165) :args (@t19)) % 158.90/159.18 (step @p167 :rule eq_resolve :premises (@p5 @p166)) % 158.90/159.18 (step @p168 :rule bool-eq-true :args (@t96)) % 158.90/159.18 (step @p169 :rule eq-symm :args (true @t96)) % 158.90/159.18 (step @p170 :rule trans :premises (@p169 @p168)) % 158.90/159.18 (step @p171 :rule refl :args (@t96)) % 158.90/159.18 (step @p172 :rule eq-refl :args (tptp.e)) % 158.90/159.18 (step @p173 :rule cong :premises (@p172 @p171) :args (@t97)) % 158.90/159.18 (step @p174 :rule trans :premises (@p173 @p170)) % 158.90/159.18 (step @p175 :rule refl :args (@t98)) % 158.90/159.18 (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t98 @t97))) % 158.90/159.18 (assume-push @p911 @t98) % 158.90/159.18 (step @p178 :rule instantiate :premises (@p167) :args (@t99)) % 158.90/159.18 (step-pop @p912 :rule scope :premises (@p178)) % 158.90/159.18 (step @p179 :rule process_scope :premises (@p912) :args (@t97)) % 158.90/159.18 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 158.90/159.18 (step @p182 :rule implies_elim :premises (@p181)) % 158.90/159.18 (step @p183 :rule chain_m_resolution :premises (@p182 @p167) :args (@t96 @t72 @t100)) % 158.90/159.18 (step @p184 :rule cnf_or_neg :args (@t102 1)) % 158.90/159.18 (step @p185 :rule reordering :premises (@p184) :args ((or (not @t96) @t102))) % 158.90/159.18 (step @p186 :rule chain_m_resolution :premises (@p185 @p183) :args (@t102 @t72 (@list @t96))) % 158.90/159.18 (step @p187 :rule cnf_equiv_pos2 :args (@t105)) % 158.90/159.18 (step @p188 :rule reordering :premises (@p187) :args ((or @t104 (not @t102) (not @t105)))) % 158.90/159.18 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p164) :args (@t104 @t75 (@list @t102 @t105))) % 158.90/159.18 (step @p190 :rule true_intro :premises (@p189)) % 158.90/159.18 (step @p191 :rule instantiate :premises (@p8) :args (@t99)) % 158.90/159.18 (step @p192 :rule instantiate :premises (@p9) :args (@t90)) % 158.90/159.18 (step @p193 :rule trans :premises (@p192 @p191)) % 158.90/159.18 (step @p194 :rule refl :args (tptp.e)) % 158.90/159.18 (step @p195 :rule cong :premises (@p194 @p193) :args (@t92)) % 158.90/159.18 (step @p196 :rule trans :premises (@p195 @p190)) % 158.90/159.18 (step @p197 :rule true_elim :premises (@p196)) % 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(assume-push @p1033 @t225) % 158.90/159.18 (assume-push @p1034 @t227) % 158.90/159.18 (step @p637 :rule false_intro :premises (@p1031)) % 158.90/159.18 (step @p638 :rule trans :premises (@p624 @p625)) % 158.90/159.18 (step @p639 :rule refl :args (@t32)) % 158.90/159.18 (step @p640 :rule cong :premises (@p639 @p638) :args (@t222)) % 158.90/159.18 (step @p641 :rule trans :premises (@p640 @p637)) % 158.90/159.18 (step @p642 :rule false_elim :premises (@p641)) % 158.90/159.18 (step-pop @p1035 :rule scope :premises (@p642)) % 158.90/159.18 (step-pop @p1036 :rule scope :premises (@p1035)) % 158.90/159.18 (step-pop @p1037 :rule scope :premises (@p1036)) % 158.90/159.18 (step @p643 :rule process_scope :premises (@p1037) :args (@t223)) % 158.90/159.18 (step @p647 :rule and_intro :premises (@p1031 @p625 @p624)) % 158.90/159.18 (step @p648 :rule modus_ponens :premises (@p647 @p643)) % 158.90/159.18 (step-pop @p1038 :rule scope :premises (@p648)) % 158.90/159.18 (step-pop @p1039 :rule scope :premises (@p1038)) % 158.90/159.18 (step-pop @p1040 :rule scope :premises (@p1039)) % 158.90/159.18 (step @p649 :rule process_scope :premises (@p1040) :args (@t223)) % 158.90/159.18 (step @p653 :rule implies_elim :premises (@p649)) % 158.90/159.18 (step @p654 :rule cnf_and_neg :args (@t229)) % 158.90/159.18 (step @p655 :rule resolution :premises (@p654 @p653) :args (true @t229)) % 158.90/159.18 (step @p656 :rule eq_resolve :premises (@p655 @p630)) % 158.90/159.18 (step @p657 :rule reordering :premises (@p656) :args ((or @t228 @t226 @t223 @t219))) % 158.90/159.18 (step @p658 :rule cnf_or_pos :args (@t230)) % 158.90/159.18 (step @p659 :rule reordering :premises (@p658) :args ((or @t163 @t222 (not @t230)))) % 158.90/159.18 (step @p660 :rule bool-double-not-elim :args (@t233)) % 158.90/159.18 (step @p661 :rule refl :args (@t236)) % 158.90/159.18 (step @p662 :rule nary_cong :premises (@p661 @p660) :args ((or @t236 (not @t235)))) % 158.90/159.18 (step @p663 :rule cnf_or_neg :args (@t236 0)) % 158.90/159.18 (step @p664 :rule eq_resolve :premises (@p663 @p662)) % 158.90/159.18 (step @p665 :rule reordering :premises (@p664) :args ((or @t233 @t236))) % 158.90/159.18 (step @p666 :rule cnf_or_neg :args (@t236 1)) % 158.90/159.18 (step @p667 :rule cnf_or_neg :args (@t237 0)) % 158.90/159.18 (step @p668 :rule reordering :premises (@p667) :args ((or @t235 @t237))) % 158.90/159.18 (step @p669 :rule instantiate :premises (@p6) :args ((@list @t232 @t27 @t30))) % 158.90/159.18 (step @p670 :rule cnf_equiv_pos2 :args (@t240)) % 158.90/159.18 (step @p671 :rule reordering :premises (@p670) :args ((or @t239 (not @t237) (not @t240)))) % 158.90/159.18 (step @p672 :rule instantiate :premises (@p9) :args (@t185)) % 158.90/159.18 (step @p673 :rule instantiate :premises (@p8) :args (@t173)) % 158.90/159.18 (step @p674 :rule refl :args (@t241)) % 158.90/159.18 (step @p675 :rule bool-double-not-elim :args (@t234)) % 158.90/159.18 (step @p676 :rule refl :args (@t244)) % 158.90/159.18 (step @p677 :rule refl :args (@t246)) % 158.90/159.18 (step @p678 :rule nary_cong :premises (@p677 @p676 @p675 @p674) :args ((or @t246 @t244 (not @t247) @t241))) % 158.90/159.18 (assume-push @p1041 @t245) % 158.90/159.18 (assume-push @p1042 @t243) % 158.90/159.18 (assume-push @p1043 @t247) % 158.90/159.18 (assume-push @p1044 @t247) % 158.90/159.18 (assume-push @p1045 @t245) % 158.90/159.18 (assume-push @p1046 @t243) % 158.90/159.18 (step @p685 :rule false_intro :premises (@p1043)) % 158.90/159.18 (step @p686 :rule symm :premises (@p672)) % 158.90/159.18 (step @p687 :rule symm :premises (@p673)) % 158.90/159.18 (step @p688 :rule trans :premises (@p687 @p686)) % 158.90/159.18 (step @p689 :rule refl :args (@t232)) % 158.90/159.18 (step @p690 :rule cong :premises (@p689 @p688) :args (@t239)) % 158.90/159.18 (step @p691 :rule trans :premises (@p690 @p685)) % 158.90/159.18 (step @p692 :rule false_elim :premises (@p691)) % 158.90/159.18 (step-pop @p1047 :rule scope :premises (@p692)) % 158.90/159.18 (step-pop @p1048 :rule scope :premises (@p1047)) % 158.90/159.18 (step-pop @p1049 :rule scope :premises (@p1048)) % 158.90/159.18 (step @p693 :rule process_scope :premises (@p1049) :args (@t241)) % 158.90/159.18 (step @p697 :rule and_intro :premises (@p1043 @p672 @p673)) % 158.90/159.18 (step @p698 :rule modus_ponens :premises (@p697 @p693)) % 158.90/159.18 (step-pop @p1050 :rule scope :premises (@p698)) % 158.90/159.18 (step-pop @p1051 :rule scope :premises (@p1050)) % 158.90/159.18 (step-pop @p1052 :rule scope :premises (@p1051)) % 158.90/159.18 (step @p699 :rule process_scope :premises (@p1052) :args (@t241)) % 158.90/159.18 (step @p703 :rule implies_elim :premises (@p699)) % 158.90/159.18 (step @p704 :rule cnf_and_neg :args (@t248)) % 158.90/159.18 (step @p705 :rule resolution :premises (@p704 @p703) :args (true @t248)) % 158.90/159.18 (step @p706 :rule eq_resolve :premises (@p705 @p678)) % 158.90/159.18 (step @p707 :rule chain_m_resolution :premises (@p706 @p673 @p672 @p671 @p669 @p668 @p666 @p665) :args (@t236 @t69 (@list @t243 @t245 @t239 @t240 @t237 @t234 @t233))) % 158.90/159.18 (step @p708 :rule refl :args (@t249)) % 158.90/159.18 (step @p709 :rule bool-double-not-elim :args (@t231)) % 158.90/159.18 (step @p710 :rule nary_cong :premises (@p709 @p708) :args ((or (not @t250) @t249))) % 158.90/159.18 (assume-push @p1053 @t250) % 158.90/159.18 (step @p712 :rule skolemize :premises (@p1053)) % 158.90/159.18 (step-pop @p1054 :rule scope :premises (@p712)) % 158.90/159.18 (step @p713 :rule process_scope :premises (@p1054) :args (@t249)) % 158.90/159.18 (step @p715 :rule implies_elim :premises (@p713)) % 158.90/159.18 (step @p716 :rule eq_resolve :premises (@p715 @p710)) % 158.90/159.18 (step @p717 :rule chain_m_resolution :premises (@p716 @p707) :args (@t231 @t72 (@list @t236))) % 158.90/159.18 (assume-push @p1055 @t231) % 158.90/159.18 (step @p719 :rule instantiate :premises (@p1055) :args ((@list @t134))) % 158.90/159.18 (step-pop @p1056 :rule scope :premises (@p719)) % 158.90/159.18 (step @p720 :rule process_scope :premises (@p1056) :args (@t252)) % 158.90/159.18 (step @p722 :rule implies_elim :premises (@p720)) % 158.90/159.18 (step @p723 :rule chain_m_resolution :premises (@p722 @p717) :args (@t252 @t72 (@list @t231))) % 158.90/159.18 (step @p724 :rule cnf_or_pos :args (@t252)) % 158.90/159.18 (step @p725 :rule reordering :premises (@p724) :args ((or @t137 @t251 (not @t252)))) % 158.90/159.18 (step @p726 :rule instantiate :premises (@p6) :args ((@list @t32 @t34 @t31))) % 158.90/159.18 (step @p727 :rule cnf_equiv_pos1 :args (@t254)) % 158.90/159.18 (step @p728 :rule reordering :premises (@p727) :args ((or (not @t253) @t230 (not @t254)))) % 158.90/159.18 (step @p729 :rule refl :args (@t255)) % 158.90/159.18 (step @p730 :rule bool-double-not-elim :args (@t135)) % 158.90/159.18 (step @p731 :rule refl :args (@t257)) % 158.90/159.18 (step @p732 :rule nary_cong :premises (@p731 @p730 @p729) :args ((or @t257 @t258 @t255))) % 158.90/159.18 (assume-push @p1057 @t251) % 158.90/159.18 (assume-push @p1058 @t256) % 158.90/159.18 (assume-push @p1059 @t141) % 158.90/159.18 (step @p214 :rule evaluate :args (@t115)) % 158.90/159.18 (step @p736 :rule true_intro :premises (@p1057)) % 158.90/159.18 (step @p737 :rule symm :premises (@p1058)) % 158.90/159.18 (step @p311 :rule refl :args (@t134)) % 158.90/159.18 (step @p738 :rule cong :premises (@p311 @p737) :args (@t135)) % 158.90/159.18 (step @p739 :rule false_intro :premises (@p1059)) % 158.90/159.18 (step @p740 :rule symm :premises (@p739)) % 158.90/159.18 (step @p741 :rule trans :premises (@p740 @p738 @p736)) % 158.90/159.18 (step @p742 false :rule eq_resolve :premises (@p741 @p214)) % 158.90/159.18 (step-pop @p1060 :rule scope :premises (@p742)) % 158.90/159.18 (step-pop @p1061 :rule scope :premises (@p1060)) % 158.90/159.18 (step-pop @p1062 :rule scope :premises (@p1061)) % 158.90/159.18 (step @p743 :rule process_scope :premises (@p1062) :args (false)) % 158.90/159.18 (assume-push @p1063 @t256) % 158.90/159.18 (assume-push @p1064 @t141) % 158.90/159.18 (assume-push @p1065 @t251) % 158.90/159.18 (step @p750 :rule and_intro :premises (@p1065 @p1063 @p1064)) % 158.90/159.18 (step-pop @p1066 :rule scope :premises (@p750)) % 158.90/159.18 (step-pop @p1067 :rule scope :premises (@p1066)) % 158.90/159.18 (step-pop @p1068 :rule scope :premises (@p1067)) % 158.90/159.18 (step @p751 :rule process_scope :premises (@p1068) :args (@t259)) % 158.90/159.18 (step @p755 :rule implies_elim :premises (@p751)) % 158.90/159.18 (step @p756 :rule resolution :premises (@p755 @p743) :args (true @t259)) % 158.90/159.18 (step @p757 :rule not_and :premises (@p756)) % 158.90/159.18 (step @p758 :rule eq_resolve :premises (@p757 @p732)) % 158.90/159.18 (step @p759 :rule cnf_or_pos :args (@t260)) % 158.90/159.18 (step @p760 :rule reordering :premises (@p759) :args ((or @t204 @t253 (not @t260)))) % 158.90/159.18 (step @p761 :rule eq-symm :args (@t32 @t28)) % 158.90/159.18 (step @p762 :rule refl :args (@t261)) % 158.90/159.18 (step @p763 :rule cong :premises (@p762 @p761) :args ((= @t261 @t262))) % 158.90/159.18 (step @p764 :rule eq-symm :args (@t262 @t261)) % 158.90/159.18 (step @p765 :rule trans :premises (@p764 @p763)) % 158.90/159.18 (step @p766 :rule cong :premises (@p175 @p765) :args ((=> @t98 @t263))) % 158.90/159.18 (assume-push @p1069 @t98) % 158.90/159.18 (step @p768 :rule instantiate :premises (@p167) :args ((@list @t32 @t28))) % 158.90/159.18 (step-pop @p1070 :rule scope :premises (@p768)) % 158.90/159.18 (step @p769 :rule process_scope :premises (@p1070) :args (@t263)) % 158.90/159.18 (step @p771 :rule eq_resolve :premises (@p769 @p766)) % 158.90/159.18 (step @p772 :rule implies_elim :premises (@p771)) % 158.90/159.18 (step @p773 :rule chain_m_resolution :premises (@p772 @p167) :args (@t264 @t72 @t100)) % 158.90/159.18 (step @p774 :rule cnf_equiv_pos1 :args (@t264)) % 158.90/159.18 (step @p775 :rule reordering :premises (@p774) :args ((or (not @t261) @t256 (not @t264)))) % 158.90/159.18 (step @p776 :rule instantiate :premises (@p6) :args ((@list @t32 @t37 @t35))) % 158.90/159.18 (step @p777 :rule cnf_equiv_pos1 :args (@t266)) % 158.90/159.18 (step @p778 :rule reordering :premises (@p777) :args ((or (not @t265) @t260 (not @t266)))) % 158.90/159.18 (step @p779 :rule instantiate :premises (@p6) :args ((@list @t32 @t38 @t29))) % 158.90/159.18 (step @p780 :rule instantiate :premises (@p33) :args ((@list @t42 @t39))) % 158.90/159.18 (step @p781 :rule bool-double-not-elim :args (@t43)) % 158.90/159.18 (step @p782 :rule eq_resolve :premises (@p26 @p781)) % 158.90/159.18 (step @p783 :rule cnf_equiv_pos1 :args (@t268)) % 158.90/159.18 (step @p784 :rule reordering :premises (@p783) :args ((or @t44 @t267 (not @t268)))) % 158.90/159.18 (step @p785 :rule chain_m_resolution :premises (@p784 @p782 @p780) :args (@t267 @t75 (@list @t43 @t268))) % 158.90/159.18 (step @p786 :rule instantiate :premises (@p785) :args (@t269)) % 158.90/159.18 (step @p787 :rule instantiate :premises (@p6) :args ((@list @t32 @t38 @t41))) % 158.90/159.18 (step @p788 :rule instantiate :premises (@p6) :args ((@list @t32 @t40 @t29))) % 158.90/159.18 (step @p789 :rule cnf_or_neg :args (@t270 0)) % 158.90/159.18 (step @p790 :rule chain_m_resolution :premises (@p789 @p363) :args (@t270 @t72 @t158)) % 158.90/159.18 (step @p791 :rule cnf_equiv_pos2 :args (@t272)) % 158.90/159.18 (step @p792 :rule reordering :premises (@p791) :args ((or @t271 (not @t270) (not @t272)))) % 158.90/159.18 (step @p793 :rule chain_m_resolution :premises (@p792 @p790 @p788) :args (@t271 @t75 (@list @t270 @t272))) % 158.90/159.18 (step @p794 :rule true_intro :premises (@p793)) % 158.90/159.18 (step @p795 :rule instantiate :premises (@p8) :args ((@list @t40 @t28))) % 158.90/159.18 (step @p639 :rule refl :args (@t32)) % 158.90/159.18 (step @p796 :rule cong :premises (@p639 @p795) :args (@t273)) % 158.90/159.18 (step @p797 :rule trans :premises (@p796 @p794)) % 158.90/159.18 (step @p798 :rule true_elim :premises (@p797)) % 158.90/159.18 (step @p799 :rule cnf_or_neg :args (@t274 1)) % 158.90/159.18 (step @p800 :rule chain_m_resolution :premises (@p799 @p798) :args (@t274 @t72 (@list @t273))) % 158.90/159.18 (step @p801 :rule cnf_equiv_pos2 :args (@t276)) % 158.90/159.18 (step @p802 :rule reordering :premises (@p801) :args ((or @t275 (not @t274) (not @t276)))) % 158.90/159.18 (step @p803 :rule chain_m_resolution :premises (@p802 @p800 @p787) :args (@t275 @t75 (@list @t274 @t276))) % 158.90/159.18 (step @p804 :rule cnf_or_pos :args (@t279)) % 158.90/159.18 (step @p805 :rule reordering :premises (@p804) :args ((or @t278 @t277 (not @t279)))) % 158.90/159.18 (step @p806 :rule chain_m_resolution :premises (@p805 @p803 @p786) :args (@t277 @t75 (@list @t275 @t279))) % 158.90/159.18 (step @p807 :rule cnf_equiv_pos1 :args (@t281)) % 158.90/159.18 (step @p808 :rule reordering :premises (@p807) :args ((or (not @t277) @t280 (not @t281)))) % 158.90/159.18 (step @p809 :rule chain_m_resolution :premises (@p808 @p806 @p779) :args (@t280 @t75 (@list @t277 @t281))) % 158.90/159.18 (step @p810 :rule cnf_or_pos :args (@t280)) % 158.90/159.18 (step @p811 :rule reordering :premises (@p810) :args ((or @t265 @t261 (not @t280)))) % 158.90/159.18 (step @p812 :rule chain_m_resolution :premises (@p811 @p809 @p778 @p776 @p775 @p773 @p760 @p758 @p728 @p726 @p725 @p723 @p659 @p294 @p302 @p657 @p625 @p624 @p292 @p623 @p621 @p282 @p34 @p620 @p279 @p44 @p106 @p618 @p616) :args ((or @t121 @t204 @t163 @t168) (@list false true false true false true true true false false false true true false true false false true true false true false true true false false true false) (@list @t280 @t265 @t266 @t261 @t264 @t260 @t256 @t253 @t254 @t251 @t252 @t230 @t135 @t136 @t222 @t225 @t227 @t138 @t219 @t220 @t131 @t132 @t217 @t127 @t129 @t73 @t213 @t216))) % 158.90/159.18 (step @p813 :rule chain_m_resolution :premises (@p812 @p277 @p601 @p562) :args (@t163 (@list true true true) (@list @t121 @t204 @t168))) % 158.90/159.18 (step @p814 :rule cnf_equiv_pos1 :args (@t165)) % 158.90/159.18 (step @p815 :rule reordering :premises (@p814) :args ((or (not @t163) @t162 (not @t165)))) % 158.90/159.18 (step @p816 :rule chain_m_resolution :premises (@p815 @p813 @p378) :args (@t162 @t75 (@list @t163 @t165))) % 158.90/159.18 (step @p817 :rule instantiate :premises (@p8) :args (@t156)) % 158.90/159.18 (step @p818 :rule instantiate :premises (@p9) :args (@t269)) % 158.90/159.18 (assume-push @p1071 @t283) % 158.90/159.18 (assume-push @p1072 @t284) % 158.90/159.18 (assume-push @p1073 @t162) % 158.90/159.18 (assume-push @p1074 @t160) % 158.90/159.18 (assume-push @p1075 @t160) % 158.90/159.18 (assume-push @p1076 @t284) % 158.90/159.18 (assume-push @p1077 @t283) % 158.90/159.18 (assume-push @p1078 @t162) % 158.90/159.18 (step @p827 :rule true_intro :premises (@p369)) % 158.90/159.18 (step @p828 :rule trans :premises (@p1073 @p818 @p817)) % 158.90/159.18 (step @p829 :rule cong :premises (@p639 @p828) :args (@t148)) % 158.90/159.18 (step @p830 :rule trans :premises (@p829 @p827)) % 158.90/159.18 (step @p831 :rule true_elim :premises (@p830)) % 158.90/159.18 (step-pop @p1079 :rule scope :premises (@p831)) % 158.90/159.18 (step-pop @p1080 :rule scope :premises (@p1079)) % 158.90/159.18 (step-pop @p1081 :rule scope :premises (@p1080)) % 158.90/159.18 (step-pop @p1082 :rule scope :premises (@p1081)) % 158.90/159.18 (step @p832 :rule process_scope :premises (@p1082) :args (@t148)) % 158.90/159.18 (step @p837 :rule and_intro :premises (@p369 @p817 @p818 @p1073)) % 158.90/159.18 (step @p838 :rule modus_ponens :premises (@p837 @p832)) % 158.90/159.18 (step-pop @p1083 :rule scope :premises (@p838)) % 158.90/159.18 (step-pop @p1084 :rule scope :premises (@p1083)) % 158.90/159.18 (step-pop @p1085 :rule scope :premises (@p1084)) % 158.90/159.18 (step-pop @p1086 :rule scope :premises (@p1085)) % 158.90/159.18 (step @p839 :rule process_scope :premises (@p1086) :args (@t148)) % 158.90/159.18 (step @p844 :rule implies_elim :premises (@p839)) % 158.90/159.18 (step @p845 :rule cnf_and_neg :args (@t285)) % 158.90/159.18 (step @p846 :rule resolution :premises (@p845 @p844) :args (true @t285)) % 158.90/159.18 (step @p847 :rule reordering :premises (@p846) :args ((or (not @t283) (not @t284) @t148 (not @t162) (not @t160)))) % 158.90/159.18 (step @p848 :rule chain_m_resolution :premises (@p847 @p818 @p817 @p816 @p369) :args (@t148 (@list false false false false) (@list @t283 @t284 @t162 @t160))) % 158.90/159.18 (step @p849 :rule cnf_equiv_pos1 :args (@t152)) % 158.90/159.18 (step @p850 :rule reordering :premises (@p849) :args ((or (not @t148) @t151 (not @t152)))) % 158.90/159.18 (step @p851 :rule chain_m_resolution :premises (@p850 @p848 @p347) :args (@t151 @t75 (@list @t148 @t152))) % 158.90/159.18 (step @p852 :rule refl :args (@t286)) % 158.90/159.18 (step @p853 :rule refl :args (@t287)) % 158.90/159.18 (step @p854 :rule nary_cong :premises (@p853 @p730 @p852) :args ((or @t287 @t258 @t286))) % 158.90/159.18 (assume-push @p1087 @t141) % 158.90/159.18 (assume-push @p1088 @t151) % 158.90/159.18 (assume-push @p1089 @t145) % 158.90/159.18 (step @p535 :rule evaluate :args (@t200)) % 158.90/159.18 (step @p858 :rule false_intro :premises (@p1087)) % 158.90/159.18 (step @p311 :rule refl :args (@t134)) % 158.90/159.18 (step @p859 :rule cong :premises (@p311 @p1088) :args (@t145)) % 158.90/159.18 (step @p860 :rule true_intro :premises (@p1089)) % 158.90/159.18 (step @p861 :rule symm :premises (@p860)) % 158.90/159.18 (step @p862 :rule trans :premises (@p861 @p859 @p858)) % 158.90/159.18 (step @p863 false :rule eq_resolve :premises (@p862 @p535)) % 158.90/159.18 (step-pop @p1090 :rule scope :premises (@p863)) % 158.90/159.18 (step-pop @p1091 :rule scope :premises (@p1090)) % 158.90/159.18 (step-pop @p1092 :rule scope :premises (@p1091)) % 158.90/159.18 (step @p864 :rule process_scope :premises (@p1092) :args (false)) % 158.90/159.18 (assume-push @p1093 @t151) % 158.90/159.18 (assume-push @p1094 @t141) % 158.90/159.18 (assume-push @p1095 @t145) % 158.90/159.18 (step @p871 :rule and_intro :premises (@p1094 @p1093 @p1095)) % 158.90/159.18 (step-pop @p1096 :rule scope :premises (@p871)) % 158.90/159.18 (step-pop @p1097 :rule scope :premises (@p1096)) % 158.90/159.18 (step-pop @p1098 :rule scope :premises (@p1097)) % 158.90/159.18 (step @p872 :rule process_scope :premises (@p1098) :args (@t288)) % 158.90/159.18 (step @p876 :rule implies_elim :premises (@p872)) % 158.90/159.18 (step @p877 :rule resolution :premises (@p876 @p864) :args (true @t288)) % 158.90/159.18 (step @p878 :rule not_and :premises (@p877)) % 158.90/159.18 (step @p879 :rule eq_resolve :premises (@p878 @p854)) % 158.90/159.18 (step @p880 false :rule chain_m_resolution :premises (@p879 @p851 @p334 @p295) :args (false (@list false false true) (@list @t151 @t145 @t135))) % 158.90/159.18 ) % 158.90/159.18 % SZS output end Proof % 158.90/159.18 % cvc5 exiting %------------------------------------------------------------------------------