%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV566+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:56:07 AM UTC 2026 % Result : Theorem 74.11s 74.31s % Output : Proof 74.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV566+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:39:26 EDT 2026 % 0.17/0.36 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 74.11/74.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 74.11/74.31 --- Run --no-e-matching --full-saturate-quant at 6... % 74.11/74.31 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 74.11/74.31 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 74.11/74.31 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 74.11/74.31 --- Run --trigger-sel=max --full-saturate-quant at 15... % 74.11/74.31 % SZS status Theorem % 74.11/74.31 % SZS output start Proof % 74.11/74.31 ( % 74.11/74.31 (declare-sort $$unsorted 0) % 74.11/74.31 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 74.11/74.31 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.e $$unsorted) % 74.11/74.31 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 74.11/74.31 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 74.11/74.31 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 74.11/74.31 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 74.11/74.31 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 74.11/74.31 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 74.11/74.31 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 74.11/74.31 (define @t1 () (@var "Y" $$unsorted)) % 74.11/74.31 (define @t2 () (@var "Z" $$unsorted)) % 74.11/74.31 (define @t3 () (tptp.mem @t2 @t1)) % 74.11/74.31 (define @t4 () (@var "X" $$unsorted)) % 74.11/74.31 (define @t5 () (tptp.mem @t2 @t4)) % 74.11/74.31 (define @t6 () (@list @t2)) % 74.11/74.31 (define @t7 () (forall @t6 (=> @t5 @t3))) % 74.11/74.31 (define @t8 () (tptp.subq @t4 @t1)) % 74.11/74.31 (define @t9 () (= @t8 @t7)) % 74.11/74.31 (define @t10 () (@list @t4 @t1)) % 74.11/74.31 (define @t11 () (forall @t10 @t9)) % 74.11/74.31 (define @t12 () (= @t4 @t1)) % 74.11/74.31 (define @t13 () (tptp.subq @t1 @t4)) % 74.11/74.31 (define @t14 () (=> @t13 @t12)) % 74.11/74.31 (define @t15 () (forall @t10 (=> @t8 @t14))) % 74.11/74.31 (define @t16 () (@list @t4)) % 74.11/74.31 (define @t17 () (tptp.s @t1)) % 74.11/74.31 (define @t18 () (tptp.mem @t4 @t17)) % 74.11/74.31 (define @t19 () (forall @t10 (= @t18 @t12))) % 74.11/74.31 (define @t20 () (tptp.mem @t4 @t2)) % 74.11/74.31 (define @t21 () (tptp.mem @t4 @t1)) % 74.11/74.31 (define @t22 () (@list @t4 @t1 @t2)) % 74.11/74.31 (define @t23 () (tptp.p @t1)) % 74.11/74.31 (define @t24 () (tptp.mem @t4 @t23)) % 74.11/74.31 (define @t25 () (forall @t10 (= @t24 @t8))) % 74.11/74.31 (define @t26 () (@list @t1)) % 74.11/74.31 (define @t27 () (not @t8)) % 74.11/74.31 (define @t28 () (tptp.n tptp.e)) % 74.11/74.31 (define @t29 () (tptp.n @t28)) % 74.11/74.31 (define @t30 () (tptp.s @t28)) % 74.11/74.31 (define @t31 () (tptp.a @t30 @t29)) % 74.11/74.31 (define @t32 () (tptp.s @t31)) % 74.11/74.31 (define @t33 () (tptp.p @t30)) % 74.11/74.31 (define @t34 () (tptp.n @t33)) % 74.11/74.31 (define @t35 () (tptp.u @t30 @t34)) % 74.11/74.31 (define @t36 () (tptp.n @t30)) % 74.11/74.31 (define @t37 () (tptp.u @t28 @t36)) % 74.11/74.31 (define @t38 () (tptp.p @t37)) % 74.11/74.31 (define @t39 () (tptp.m @t38 @t35)) % 74.11/74.31 (define @t40 () (tptp.u @t39 @t32)) % 74.11/74.31 (define @t41 () (tptp.m @t38 @t34)) % 74.11/74.31 (define @t42 () (tptp.u @t41 @t32)) % 74.11/74.31 (define @t43 () (tptp.subq @t42 @t40)) % 74.11/74.31 (define @t44 () (not @t43)) % 74.11/74.31 (define @t45 () (@list tptp.e)) % 74.11/74.31 (define @t46 () (@list tptp.e tptp.e)) % 74.11/74.31 (define @t47 () (@list @t28 @t30)) % 74.11/74.31 (define @t48 () (tptp.s tptp.e)) % 74.11/74.31 (define @t49 () (tptp.mem tptp.e @t48)) % 74.11/74.31 (define @t50 () (= (= tptp.e tptp.e) @t49)) % 74.11/74.31 (define @t51 () (forall @t10 (= @t12 @t18))) % 74.11/74.31 (define @t52 () (@list false)) % 74.11/74.31 (define @t53 () (@list @t51)) % 74.11/74.31 (define @t54 () (tptp.mem tptp.e tptp.e)) % 74.11/74.31 (define @t55 () (or @t54 @t49)) % 74.11/74.31 (define @t56 () (tptp.u tptp.e @t48)) % 74.11/74.31 (define @t57 () (tptp.mem tptp.e @t56)) % 74.11/74.31 (define @t58 () (= @t57 @t55)) % 74.11/74.31 (define @t59 () (@list false false)) % 74.11/74.31 (define @t60 () (not @t57)) % 74.11/74.31 (define @t61 () (= tptp.e @t28)) % 74.11/74.31 (define @t62 () (not @t61)) % 74.11/74.31 (define @t63 () (tptp.a tptp.e tptp.e)) % 74.11/74.31 (define @t64 () (= @t63 @t56)) % 74.11/74.31 (define @t65 () (not @t64)) % 74.11/74.31 (define @t66 () (= @t28 @t63)) % 74.11/74.31 (define @t67 () (not @t66)) % 74.11/74.31 (define @t68 () (not @t54)) % 74.11/74.31 (define @t69 () (not @t68)) % 74.11/74.31 (define @t70 () (= false true)) % 74.11/74.31 (define @t71 () (tptp.mem tptp.e @t28)) % 74.11/74.31 (define @t72 () (and @t57 @t64 @t66 @t61 @t68)) % 74.11/74.31 (define @t73 () (@list false false true false)) % 74.11/74.31 (define @t74 () (tptp.mem tptp.e @t30)) % 74.11/74.31 (define @t75 () (= @t61 @t74)) % 74.11/74.31 (define @t76 () (not @t74)) % 74.11/74.31 (define @t77 () (@list true false)) % 74.11/74.31 (define @t78 () (not @t71)) % 74.11/74.31 (define @t79 () (or @t78 @t74)) % 74.11/74.31 (define @t80 () (not @t79)) % 74.11/74.31 (define @t81 () (tptp.mem @t2 @t30)) % 74.11/74.31 (define @t82 () (tptp.mem @t2 @t28)) % 74.11/74.31 (define @t83 () (not @t82)) % 74.11/74.31 (define @t84 () (forall @t6 (or @t83 @t81))) % 74.11/74.31 (define @t85 () (@list true)) % 74.11/74.31 (define @t86 () (tptp.subq @t28 @t30)) % 74.11/74.31 (define @t87 () (= @t86 @t84)) % 74.11/74.31 (define @t88 () (not @t86)) % 74.11/74.31 (define @t89 () (tptp.mem @t28 @t33)) % 74.11/74.31 (define @t90 () (= @t86 @t89)) % 74.11/74.31 (define @t91 () (not @t89)) % 74.11/74.31 (define @t92 () (not @t13)) % 74.11/74.31 (define @t93 () (@list @t28 @t37)) % 74.11/74.31 (define @t94 () (tptp.mem @t2 @t37)) % 74.11/74.31 (define @t95 () (forall @t6 (or (not @t94) @t82))) % 74.11/74.31 (define @t96 () (@quantifiers_skolemize @t95 0)) % 74.11/74.31 (define @t97 () (tptp.mem @t96 @t37)) % 74.11/74.31 (define @t98 () (tptp.mem @t96 @t28)) % 74.11/74.31 (define @t99 () (not @t97)) % 74.11/74.31 (define @t100 () (or @t99 @t98)) % 74.11/74.31 (define @t101 () (tptp.mem @t96 @t36)) % 74.11/74.31 (define @t102 () (or @t98 @t101)) % 74.11/74.31 (define @t103 () (= @t97 @t102)) % 74.11/74.31 (define @t104 () (@list tptp.e @t30)) % 74.11/74.31 (define @t105 () (tptp.mem @t2 tptp.e)) % 74.11/74.31 (define @t106 () (not @t105)) % 74.11/74.31 (define @t107 () (forall @t6 (or @t106 @t81))) % 74.11/74.31 (define @t108 () (@quantifiers_skolemize @t107 0)) % 74.11/74.31 (define @t109 () (tptp.mem @t108 tptp.e)) % 74.11/74.31 (define @t110 () (not @t109)) % 74.11/74.31 (define @t111 () (or @t110 (tptp.mem @t108 @t30))) % 74.11/74.31 (define @t112 () (not @t111)) % 74.11/74.31 (define @t113 () (not @t107)) % 74.11/74.31 (define @t114 () (tptp.subq tptp.e @t30)) % 74.11/74.31 (define @t115 () (= @t114 @t107)) % 74.11/74.31 (define @t116 () (= tptp.e @t30)) % 74.11/74.31 (define @t117 () (tptp.subq @t30 tptp.e)) % 74.11/74.31 (define @t118 () (not @t117)) % 74.11/74.31 (define @t119 () (not @t114)) % 74.11/74.31 (define @t120 () (or @t119 @t118 @t116)) % 74.11/74.31 (define @t121 () (tptp.mem @t30 @t48)) % 74.11/74.31 (define @t122 () (= (= @t30 tptp.e) @t121)) % 74.11/74.31 (define @t123 () (@list @t30 tptp.e)) % 74.11/74.31 (define @t124 () (= @t116 @t121)) % 74.11/74.31 (define @t125 () (not @t81)) % 74.11/74.31 (define @t126 () (forall @t6 (or @t125 @t105))) % 74.11/74.31 (define @t127 () (= @t117 @t126)) % 74.11/74.31 (define @t128 () (not @t126)) % 74.11/74.31 (define @t129 () (tptp.mem @t30 tptp.e)) % 74.11/74.31 (define @t130 () (or @t129 @t121)) % 74.11/74.31 (define @t131 () (@quantifiers_skolemize @t126 0)) % 74.11/74.31 (define @t132 () (tptp.mem @t131 @t30)) % 74.11/74.31 (define @t133 () (not @t132)) % 74.11/74.31 (define @t134 () (or @t133 (tptp.mem @t131 tptp.e))) % 74.11/74.31 (define @t135 () (not @t134)) % 74.11/74.31 (define @t136 () (tptp.mem @t30 @t56)) % 74.11/74.31 (define @t137 () (= @t136 @t130)) % 74.11/74.31 (define @t138 () (not @t136)) % 74.11/74.31 (define @t139 () (@list @t30 @t30)) % 74.11/74.31 (define @t140 () (tptp.subq @t30 @t30)) % 74.11/74.31 (define @t141 () (forall @t6 (or @t125 @t81))) % 74.11/74.31 (define @t142 () (= @t140 @t141)) % 74.11/74.31 (define @t143 () (forall @t10 (= @t8 (forall @t6 (or (not @t5) @t3))))) % 74.11/74.31 (define @t144 () (tptp.mem @t30 @t33)) % 74.11/74.31 (define @t145 () (= @t140 @t144)) % 74.11/74.31 (define @t146 () (not @t144)) % 74.11/74.31 (define @t147 () (= @t28 @t33)) % 74.11/74.31 (define @t148 () (not @t147)) % 74.11/74.31 (define @t149 () (= true false)) % 74.11/74.31 (define @t150 () (and @t138 @t64 @t66 @t147 @t144)) % 74.11/74.31 (define @t151 () (= @t131 @t28)) % 74.11/74.31 (define @t152 () (= @t151 @t132)) % 74.11/74.31 (define @t153 () (= @t28 @t131)) % 74.11/74.31 (define @t154 () (= @t132 @t153)) % 74.11/74.31 (define @t155 () (tptp.mem @t28 @t30)) % 74.11/74.31 (define @t156 () (not @t153)) % 74.11/74.31 (define @t157 () (not @t155)) % 74.11/74.31 (define @t158 () (and @t157 @t153 @t132)) % 74.11/74.31 (define @t159 () (tptp.s @t33)) % 74.11/74.31 (define @t160 () (tptp.mem @t28 @t159)) % 74.11/74.31 (define @t161 () (= @t147 @t160)) % 74.11/74.31 (define @t162 () (= @t160 @t147)) % 74.11/74.31 (define @t163 () (tptp.mem @t28 @t34)) % 74.11/74.31 (define @t164 () (or @t155 @t163)) % 74.11/74.31 (define @t165 () (or @t89 @t160)) % 74.11/74.31 (define @t166 () (tptp.mem @t28 @t35)) % 74.11/74.31 (define @t167 () (= @t166 @t164)) % 74.11/74.31 (define @t168 () (tptp.u @t33 @t159)) % 74.11/74.31 (define @t169 () (tptp.mem @t28 @t168)) % 74.11/74.31 (define @t170 () (= @t169 @t165)) % 74.11/74.31 (define @t171 () (not @t169)) % 74.11/74.31 (define @t172 () (not @t166)) % 74.11/74.31 (define @t173 () (tptp.mem @t28 @t38)) % 74.11/74.31 (define @t174 () (and @t173 @t172)) % 74.11/74.31 (define @t175 () (not @t174)) % 74.11/74.31 (define @t176 () (not @t163)) % 74.11/74.31 (define @t177 () (tptp.a @t33 @t33)) % 74.11/74.31 (define @t178 () (= @t177 @t168)) % 74.11/74.31 (define @t179 () (not @t178)) % 74.11/74.31 (define @t180 () (= @t34 @t177)) % 74.11/74.31 (define @t181 () (not @t180)) % 74.11/74.31 (define @t182 () (and @t180 @t178 @t171)) % 74.11/74.31 (define @t183 () (tptp.mem @t28 @t39)) % 74.11/74.31 (define @t184 () (= @t183 @t174)) % 74.11/74.31 (define @t185 () (not @t183)) % 74.11/74.31 (define @t186 () (tptp.subq @t28 @t37)) % 74.11/74.31 (define @t187 () (forall @t10 (= @t8 @t24))) % 74.11/74.31 (define @t188 () (= @t186 @t173)) % 74.11/74.31 (define @t189 () (= @t173 @t186)) % 74.11/74.31 (define @t190 () (forall @t6 (or @t83 @t94))) % 74.11/74.31 (define @t191 () (@quantifiers_skolemize @t190 0)) % 74.11/74.31 (define @t192 () (tptp.mem @t191 @t28)) % 74.11/74.31 (define @t193 () (tptp.mem @t191 @t37)) % 74.11/74.31 (define @t194 () (not @t192)) % 74.11/74.31 (define @t195 () (or @t194 @t193)) % 74.11/74.31 (define @t196 () (or @t192 (tptp.mem @t191 @t36))) % 74.11/74.31 (define @t197 () (= @t193 @t196)) % 74.11/74.31 (define @t198 () (not @t195)) % 74.11/74.31 (define @t199 () (not @t190)) % 74.11/74.31 (define @t200 () (= @t186 @t190)) % 74.11/74.31 (define @t201 () (not @t186)) % 74.11/74.31 (define @t202 () (not @t173)) % 74.11/74.31 (define @t203 () (and @t173 @t176)) % 74.11/74.31 (define @t204 () (= @t28 @t31)) % 74.11/74.31 (define @t205 () (tptp.mem @t28 @t32)) % 74.11/74.31 (define @t206 () (= @t204 @t205)) % 74.11/74.31 (define @t207 () (= @t205 @t204)) % 74.11/74.31 (define @t208 () (tptp.s @t29)) % 74.11/74.31 (define @t209 () (= tptp.e @t29)) % 74.11/74.31 (define @t210 () (tptp.mem tptp.e @t208)) % 74.11/74.31 (define @t211 () (= @t209 @t210)) % 74.11/74.31 (define @t212 () (= @t210 @t209)) % 74.11/74.31 (define @t213 () (or @t71 @t74)) % 74.11/74.31 (define @t214 () (tptp.u @t28 @t30)) % 74.11/74.31 (define @t215 () (tptp.mem tptp.e @t214)) % 74.11/74.31 (define @t216 () (= @t215 @t213)) % 74.11/74.31 (define @t217 () (@list @t28)) % 74.11/74.31 (define @t218 () (not @t215)) % 74.11/74.31 (define @t219 () (not @t209)) % 74.11/74.31 (define @t220 () (tptp.a @t28 @t28)) % 74.11/74.31 (define @t221 () (= @t220 @t214)) % 74.11/74.31 (define @t222 () (not @t221)) % 74.11/74.31 (define @t223 () (= @t29 @t220)) % 74.11/74.31 (define @t224 () (not @t223)) % 74.11/74.31 (define @t225 () (and @t68 @t209 @t223 @t221 @t215)) % 74.11/74.31 (define @t226 () (not @t210)) % 74.11/74.31 (define @t227 () (or @t74 @t210)) % 74.11/74.31 (define @t228 () (not @t227)) % 74.11/74.31 (define @t229 () (@list true true)) % 74.11/74.31 (define @t230 () (tptp.u @t30 @t208)) % 74.11/74.31 (define @t231 () (tptp.mem tptp.e @t230)) % 74.11/74.31 (define @t232 () (= @t231 @t227)) % 74.11/74.31 (define @t233 () (not @t231)) % 74.11/74.31 (define @t234 () (not @t204)) % 74.11/74.31 (define @t235 () (= @t31 @t230)) % 74.11/74.31 (define @t236 () (not @t235)) % 74.11/74.31 (define @t237 () (and @t57 @t64 @t66 @t204 @t235 @t233)) % 74.11/74.31 (define @t238 () (not @t205)) % 74.11/74.31 (define @t239 () (or @t183 @t205)) % 74.11/74.31 (define @t240 () (not @t239)) % 74.11/74.31 (define @t241 () (tptp.mem @t28 @t41)) % 74.11/74.31 (define @t242 () (= @t241 @t203)) % 74.11/74.31 (define @t243 () (not @t203)) % 74.11/74.31 (define @t244 () (tptp.mem @t28 @t40)) % 74.11/74.31 (define @t245 () (= @t244 @t239)) % 74.11/74.31 (define @t246 () (not @t244)) % 74.11/74.31 (define @t247 () (or @t241 @t205)) % 74.11/74.31 (define @t248 () (forall @t6 (or (not (tptp.mem @t2 @t42)) (tptp.mem @t2 @t40)))) % 74.11/74.31 (define @t249 () (= @t43 @t248)) % 74.11/74.31 (define @t250 () (tptp.mem @t28 @t42)) % 74.11/74.31 (define @t251 () (not @t250)) % 74.11/74.31 (define @t252 () (or @t251 @t244)) % 74.11/74.31 (define @t253 () (= @t250 @t247)) % 74.11/74.31 (define @t254 () (not @t247)) % 74.11/74.31 (define @t255 () (not @t101)) % 74.11/74.31 (define @t256 () (not @t116)) % 74.11/74.31 (define @t257 () (not @t98)) % 74.11/74.31 (define @t258 () (and @t116 @t257)) % 74.11/74.31 (define @t259 () (not @t100)) % 74.11/74.31 (define @t260 () (not @t95)) % 74.11/74.31 (define @t261 () (tptp.subq @t37 @t28)) % 74.11/74.31 (define @t262 () (= @t261 @t95)) % 74.11/74.31 (define @t263 () (= @t28 @t37)) % 74.11/74.31 (define @t264 () (not @t261)) % 74.11/74.31 (define @t265 () (or @t201 @t264 @t263)) % 74.11/74.31 (define @t266 () (@list false false false)) % 74.11/74.31 (define @t267 () (forall @t6 (or @t106 @t82))) % 74.11/74.31 (define @t268 () (@quantifiers_skolemize @t267 0)) % 74.11/74.31 (define @t269 () (tptp.mem @t268 tptp.e)) % 74.11/74.31 (define @t270 () (not @t269)) % 74.11/74.31 (define @t271 () (or @t270 (tptp.mem @t268 @t28))) % 74.11/74.31 (define @t272 () (not @t271)) % 74.11/74.31 (define @t273 () (not @t267)) % 74.11/74.31 (define @t274 () (tptp.mem @t37 @t28)) % 74.11/74.31 (define @t275 () (tptp.mem @t37 tptp.e)) % 74.11/74.31 (define @t276 () (not @t275)) % 74.11/74.31 (define @t277 () (or @t276 @t274)) % 74.11/74.31 (define @t278 () (tptp.mem @t37 (tptp.s @t37))) % 74.11/74.31 (define @t279 () (= (= @t37 @t37) @t278)) % 74.11/74.31 (define @t280 () (and @t116 @t263 @t278)) % 74.11/74.31 (define @t281 () (not @t278)) % 74.11/74.31 (define @t282 () (not @t263)) % 74.11/74.31 (define @t283 () (and @t263 @t278)) % 74.11/74.31 (define @t284 () (not @t274)) % 74.11/74.31 (define @t285 () (and @t274 @t66 @t64 @t263 @t147 @t91)) % 74.11/74.31 (assume @p1 @t11) % 74.11/74.31 (assume @p2 @t15) % 74.11/74.31 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 74.11/74.31 (assume @p4 (forall @t16 (not (tptp.mem @t4 tptp.e)))) % 74.11/74.31 (assume @p5 @t19) % 74.11/74.31 (assume @p6 (forall @t22 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t21 @t20)))) % 74.11/74.31 (assume @p7 (forall @t22 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t21 (not @t20))))) % 74.11/74.31 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t17)))) % 74.11/74.31 (assume @p9 (forall @t16 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 74.11/74.31 (assume @p10 @t25) % 74.11/74.31 (assume @p11 (forall @t16 (= (tptp.atleast2p @t4) (exists @t26 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t23))))))) % 74.11/74.31 (assume @p12 (forall @t16 (= (tptp.atleast3p @t4) (exists @t26 (and @t13 (tptp.atleast2p @t1) @t27))))) % 74.11/74.31 (assume @p13 (forall @t16 (= (tptp.atleast4p @t4) (exists @t26 (and @t13 (tptp.atleast3p @t1) @t27))))) % 74.11/74.31 (assume @p14 (forall @t16 (= (tptp.atleast5p @t4) (exists @t26 (and @t13 (tptp.atleast4p @t1) @t27))))) % 74.11/74.31 (assume @p15 (forall @t16 (= (tptp.atleast6p @t4) (exists @t26 (and @t13 (tptp.atleast5p @t1) @t27))))) % 74.11/74.31 (assume @p16 (forall @t16 (= (tptp.atleast7p @t4) (exists @t26 (and @t13 (tptp.atleast6p @t1) @t27))))) % 74.11/74.31 (assume @p17 (forall @t16 (= (tptp.atleast8p @t4) (exists @t26 (and @t13 (tptp.atleast7p @t1) @t27))))) % 74.11/74.31 (assume @p18 (forall @t16 (= (tptp.atleast9p @t4) (exists @t26 (and @t13 (tptp.atleast8p @t1) @t27))))) % 74.11/74.31 (assume @p19 (forall @t16 (= (tptp.atleast10p @t4) (exists @t26 (and @t13 (tptp.atleast9p @t1) @t27))))) % 74.11/74.31 (assume @p20 (forall @t16 (= (tptp.atleast11p @t4) (exists @t26 (and @t13 (tptp.atleast10p @t1) @t27))))) % 74.11/74.31 (assume @p21 (forall @t16 (= (tptp.atleast12p @t4) (exists @t26 (and @t13 (tptp.atleast11p @t1) @t27))))) % 74.11/74.31 (assume @p22 (forall @t16 (= (tptp.atleast13p @t4) (exists @t26 (and @t13 (tptp.atleast12p @t1) @t27))))) % 74.11/74.31 (assume @p23 (forall @t16 (= (tptp.atleast14p @t4) (exists @t26 (and @t13 (tptp.atleast13p @t1) @t27))))) % 74.11/74.31 (assume @p24 (forall @t16 (= (tptp.atleast15p @t4) (exists @t26 (and @t13 (tptp.atleast14p @t1) @t27))))) % 74.11/74.31 (assume @p25 (forall @t16 (= (tptp.atleast16p @t4) (exists @t26 (and @t13 (tptp.atleast15p @t1) @t27))))) % 74.11/74.31 (assume @p26 (not @t44)) % 74.11/74.31 (assume @p27 true) % 74.11/74.31 (step @p28 :rule instantiate :premises (@p9) :args (@t45)) % 74.11/74.31 (step @p29 :rule instantiate :premises (@p8) :args (@t46)) % 74.11/74.31 (step @p30 :rule eq-symm :args (@t24 @t8)) % 74.11/74.31 (step @p31 :rule cong :premises (@p30) :args (@t25)) % 74.11/74.31 (step @p32 :rule eq_resolve :premises (@p10 @p31)) % 74.11/74.31 (step @p33 :rule instantiate :premises (@p32) :args (@t47)) % 74.11/74.31 (step @p34 :rule bool-impl-elim :args (@t5 @t3)) % 74.11/74.31 (step @p35 :rule cong :premises (@p34) :args (@t7)) % 74.11/74.31 (step @p36 :rule refl :args (@t8)) % 74.11/74.31 (step @p37 :rule cong :premises (@p36 @p35) :args (@t9)) % 74.11/74.31 (step @p38 :rule cong :premises (@p37) :args (@t11)) % 74.11/74.31 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 74.11/74.31 (step @p40 :rule instantiate :premises (@p39) :args (@t47)) % 74.11/74.31 (step @p41 :rule eq-symm :args (@t18 @t12)) % 74.11/74.31 (step @p42 :rule cong :premises (@p41) :args (@t19)) % 74.11/74.31 (step @p43 :rule eq_resolve :premises (@p5 @p42)) % 74.11/74.31 (step @p44 :rule instantiate :premises (@p43) :args ((@list tptp.e @t28))) % 74.11/74.31 (step @p45 :rule instantiate :premises (@p6) :args ((@list tptp.e tptp.e @t48))) % 74.11/74.31 (step @p46 :rule bool-eq-true :args (@t49)) % 74.11/74.31 (step @p47 :rule eq-symm :args (true @t49)) % 74.11/74.31 (step @p48 :rule trans :premises (@p47 @p46)) % 74.11/74.31 (step @p49 :rule refl :args (@t49)) % 74.11/74.31 (step @p50 :rule eq-refl :args (tptp.e)) % 74.11/74.31 (step @p51 :rule cong :premises (@p50 @p49) :args (@t50)) % 74.11/74.31 (step @p52 :rule trans :premises (@p51 @p48)) % 74.11/74.31 (step @p53 :rule refl :args (@t51)) % 74.11/74.31 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t51 @t50))) % 74.11/74.31 (assume-push @p785 @t51) % 74.11/74.31 (step @p56 :rule instantiate :premises (@p43) :args (@t46)) % 74.11/74.31 (step-pop @p786 :rule scope :premises (@p56)) % 74.11/74.31 (step @p57 :rule process_scope :premises (@p786) :args (@t50)) % 74.11/74.31 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 74.11/74.31 (step @p60 :rule implies_elim :premises (@p59)) % 74.11/74.31 (step @p61 :rule chain_m_resolution :premises (@p60 @p43) :args (@t49 @t52 @t53)) % 74.11/74.31 (step @p62 :rule cnf_or_neg :args (@t55 1)) % 74.11/74.31 (step @p63 :rule reordering :premises (@p62) :args ((or (not @t49) @t55))) % 74.11/74.31 (step @p64 :rule chain_m_resolution :premises (@p63 @p61) :args (@t55 @t52 (@list @t49))) % 74.11/74.31 (step @p65 :rule cnf_equiv_pos2 :args (@t58)) % 74.11/74.31 (step @p66 :rule reordering :premises (@p65) :args ((or @t57 (not @t55) (not @t58)))) % 74.11/74.31 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p45) :args (@t57 @t59 (@list @t55 @t58))) % 74.11/74.31 (step @p68 :rule instantiate :premises (@p4) :args (@t45)) % 74.11/74.31 (step @p69 :rule refl :args (@t60)) % 74.11/74.31 (step @p70 :rule bool-double-not-elim :args (@t54)) % 74.11/74.31 (step @p71 :rule refl :args (@t62)) % 74.11/74.31 (step @p72 :rule refl :args (@t65)) % 74.11/74.31 (step @p73 :rule refl :args (@t67)) % 74.11/74.31 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71 @p70 @p69) :args ((or @t67 @t65 @t62 @t69 @t60))) % 74.11/74.31 (assume-push @p787 @t57) % 74.11/74.31 (assume-push @p788 @t64) % 74.11/74.31 (assume-push @p789 @t66) % 74.11/74.31 (assume-push @p790 @t61) % 74.11/74.31 (assume-push @p791 @t68) % 74.11/74.31 (step @p80 :rule evaluate :args (@t70)) % 74.11/74.31 (step @p81 :rule true_intro :premises (@p67)) % 74.11/74.31 (step @p82 :rule trans :premises (@p28 @p29)) % 74.11/74.31 (step @p83 :rule refl :args (tptp.e)) % 74.11/74.31 (step @p84 :rule cong :premises (@p83 @p82) :args (@t71)) % 74.11/74.31 (step @p85 :rule cong :premises (@p83 @p790) :args (@t54)) % 74.11/74.31 (step @p86 :rule false_intro :premises (@p68)) % 74.11/74.31 (step @p87 :rule symm :premises (@p86)) % 74.11/74.31 (step @p88 :rule trans :premises (@p87 @p85 @p84 @p81)) % 74.11/74.31 (step @p89 false :rule eq_resolve :premises (@p88 @p80)) % 74.11/74.31 (step-pop @p792 :rule scope :premises (@p89)) % 74.11/74.31 (step-pop @p793 :rule scope :premises (@p792)) % 74.11/74.31 (step-pop @p794 :rule scope :premises (@p793)) % 74.11/74.31 (step-pop @p795 :rule scope :premises (@p794)) % 74.11/74.31 (step-pop @p796 :rule scope :premises (@p795)) % 74.11/74.31 (step @p90 :rule process_scope :premises (@p796) :args (false)) % 74.11/74.31 (assume-push @p797 @t66) % 74.11/74.31 (assume-push @p798 @t64) % 74.11/74.31 (assume-push @p799 @t61) % 74.11/74.31 (assume-push @p800 @t68) % 74.11/74.31 (assume-push @p801 @t57) % 74.11/74.31 (step @p101 :rule and_intro :premises (@p67 @p29 @p28 @p799 @p68)) % 74.11/74.31 (step-pop @p802 :rule scope :premises (@p101)) % 74.11/74.31 (step-pop @p803 :rule scope :premises (@p802)) % 74.11/74.31 (step-pop @p804 :rule scope :premises (@p803)) % 74.11/74.31 (step-pop @p805 :rule scope :premises (@p804)) % 74.11/74.31 (step-pop @p806 :rule scope :premises (@p805)) % 74.11/74.31 (step @p102 :rule process_scope :premises (@p806) :args (@t72)) % 74.11/74.31 (step @p108 :rule implies_elim :premises (@p102)) % 74.11/74.31 (step @p109 :rule resolution :premises (@p108 @p90) :args (true @t72)) % 74.11/74.31 (step @p110 :rule not_and :premises (@p109)) % 74.11/74.31 (step @p111 :rule eq_resolve :premises (@p110 @p74)) % 74.11/74.31 (step @p112 :rule reordering :premises (@p111) :args ((or @t67 @t65 @t54 @t62 @t60))) % 74.11/74.31 (step @p113 :rule chain_m_resolution :premises (@p112 @p28 @p29 @p68 @p67) :args (@t62 @t73 (@list @t66 @t64 @t54 @t57))) % 74.11/74.31 (step @p114 :rule cnf_equiv_pos2 :args (@t75)) % 74.11/74.31 (step @p115 :rule reordering :premises (@p114) :args ((or @t61 @t76 (not @t75)))) % 74.11/74.31 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p44) :args (@t76 @t77 (@list @t61 @t75))) % 74.11/74.31 (step @p81 :rule true_intro :premises (@p67)) % 74.11/74.31 (step @p82 :rule trans :premises (@p28 @p29)) % 74.11/74.31 (step @p83 :rule refl :args (tptp.e)) % 74.11/74.31 (step @p84 :rule cong :premises (@p83 @p82) :args (@t71)) % 74.11/74.31 (step @p117 :rule trans :premises (@p84 @p81)) % 74.11/74.31 (step @p118 :rule true_elim :premises (@p117)) % 74.11/74.31 (step @p119 :rule cnf_or_pos :args (@t79)) % 74.11/74.31 (step @p120 :rule reordering :premises (@p119) :args ((or @t78 @t74 @t80))) % 74.11/74.31 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p116) :args (@t80 (@list false true) (@list @t71 @t74))) % 74.11/74.31 (assume-push @p807 @t84) % 74.11/74.31 (step @p123 :rule instantiate :premises (@p807) :args (@t45)) % 74.11/74.31 (step-pop @p808 :rule scope :premises (@p123)) % 74.11/74.31 (step @p124 :rule process_scope :premises (@p808) :args (@t79)) % 74.11/74.31 (step @p126 :rule implies_elim :premises (@p124)) % 74.11/74.31 (step @p127 :rule chain_m_resolution :premises (@p126 @p121) :args ((not @t84) @t85 (@list @t79))) % 74.11/74.31 (step @p128 :rule cnf_equiv_pos1 :args (@t87)) % 74.11/74.31 (step @p129 :rule reordering :premises (@p128) :args ((or @t88 @t84 (not @t87)))) % 74.11/74.31 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p40) :args (@t88 @t77 (@list @t84 @t87))) % 74.11/74.31 (step @p131 :rule cnf_equiv_pos2 :args (@t90)) % 74.11/74.31 (step @p132 :rule reordering :premises (@p131) :args ((or @t86 @t91 (not @t90)))) % 74.11/74.31 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p33) :args (@t91 @t77 (@list @t86 @t90))) % 74.11/74.31 (step @p134 :rule aci_norm :args ((= (or @t27 (or @t92 @t12)) (or @t27 @t92 @t12)))) % 74.11/74.31 (step @p135 :rule bool-impl-elim :args (@t13 @t12)) % 74.11/74.31 (step @p136 :rule refl :args (@t27)) % 74.11/74.31 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t27 @t14))) % 74.11/74.31 (step @p138 :rule trans :premises (@p137 @p134)) % 74.11/74.31 (step @p139 :rule bool-impl-elim :args (@t8 @t14)) % 74.11/74.31 (step @p140 :rule trans :premises (@p139 @p138)) % 74.11/74.31 (step @p141 :rule cong :premises (@p140) :args (@t15)) % 74.11/74.31 (step @p142 :rule eq_resolve :premises (@p2 @p141)) % 74.11/74.31 (step @p143 :rule instantiate :premises (@p142) :args (@t93)) % 74.11/74.31 (step @p144 :rule instantiate :premises (@p39) :args ((@list @t37 @t28))) % 74.11/74.31 (step @p145 :rule bool-double-not-elim :args (@t97)) % 74.11/74.31 (step @p146 :rule refl :args (@t100)) % 74.11/74.31 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t100 (not @t99)))) % 74.11/74.31 (step @p148 :rule cnf_or_neg :args (@t100 0)) % 74.11/74.31 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 74.11/74.31 (step @p150 :rule reordering :premises (@p149) :args ((or @t97 @t100))) % 74.11/74.31 (step @p151 :rule cnf_or_neg :args (@t100 1)) % 74.11/74.31 (step @p152 :rule instantiate :premises (@p6) :args ((@list @t96 @t28 @t36))) % 74.11/74.31 (step @p153 :rule cnf_equiv_pos1 :args (@t103)) % 74.11/74.31 (step @p154 :rule reordering :premises (@p153) :args ((or @t99 @t102 (not @t103)))) % 74.11/74.31 (step @p155 :rule cnf_or_pos :args (@t102)) % 74.11/74.31 (step @p156 :rule reordering :premises (@p155) :args ((or @t98 @t101 (not @t102)))) % 74.11/74.31 (step @p157 :rule instantiate :premises (@p39) :args (@t104)) % 74.11/74.31 (step @p158 :rule instantiate :premises (@p4) :args ((@list @t108))) % 74.11/74.31 (step @p159 :rule bool-double-not-elim :args (@t109)) % 74.11/74.31 (step @p160 :rule refl :args (@t111)) % 74.11/74.31 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t111 (not @t110)))) % 74.11/74.31 (step @p162 :rule cnf_or_neg :args (@t111 0)) % 74.11/74.31 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 74.11/74.31 (step @p164 :rule reordering :premises (@p163) :args ((or @t109 @t111))) % 74.11/74.31 (step @p165 :rule chain_m_resolution :premises (@p164 @p158) :args (@t111 @t85 (@list @t109))) % 74.11/74.31 (step @p166 :rule refl :args (@t112)) % 74.11/74.31 (step @p167 :rule bool-double-not-elim :args (@t107)) % 74.11/74.31 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or (not @t113) @t112))) % 74.11/74.31 (assume-push @p809 @t113) % 74.11/74.31 (step @p170 :rule skolemize :premises (@p809)) % 74.11/74.31 (step-pop @p810 :rule scope :premises (@p170)) % 74.11/74.31 (step @p171 :rule process_scope 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(step @p185 :rule cong :premises (@p53 @p184) :args ((=> @t51 @t122))) % 74.11/74.31 (assume-push @p811 @t51) % 74.11/74.31 (step @p187 :rule instantiate :premises (@p43) :args (@t123)) % 74.11/74.31 (step-pop @p812 :rule scope :premises (@p187)) % 74.11/74.31 (step @p188 :rule process_scope :premises (@p812) :args (@t122)) % 74.11/74.31 (step @p190 :rule eq_resolve :premises (@p188 @p185)) % 74.11/74.31 (step @p191 :rule implies_elim :premises (@p190)) % 74.11/74.31 (step @p192 :rule chain_m_resolution :premises (@p191 @p43) :args (@t124 @t52 @t53)) % 74.11/74.31 (step @p193 :rule cnf_equiv_pos2 :args (@t124)) % 74.11/74.31 (step @p194 :rule reordering :premises (@p193) :args ((or @t116 (not @t121) (not @t124)))) % 74.11/74.31 (step @p195 :rule instantiate :premises (@p39) :args (@t123)) % 74.11/74.31 (step @p196 :rule cnf_equiv_pos2 :args (@t127)) % 74.11/74.31 (step @p197 :rule reordering :premises (@p196) :args ((or @t117 @t128 (not @t127)))) % 74.11/74.31 (step @p198 :rule 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:rule nary_cong :premises (@p636 @p635) :args ((or (not @t273) @t272))) % 74.11/74.31 (assume-push @p927 @t273) % 74.11/74.31 (step @p639 :rule skolemize :premises (@p927)) % 74.11/74.31 (step-pop @p928 :rule scope :premises (@p639)) % 74.11/74.31 (step @p640 :rule process_scope :premises (@p928) :args (@t272)) % 74.11/74.31 (step @p642 :rule implies_elim :premises (@p640)) % 74.11/74.31 (step @p643 :rule eq_resolve :premises (@p642 @p637)) % 74.11/74.31 (step @p644 :rule chain_m_resolution :premises (@p643 @p634) :args (@t267 @t52 (@list @t271))) % 74.11/74.31 (assume-push @p929 @t267) % 74.11/74.32 (step @p646 :rule instantiate :premises (@p929) :args ((@list @t37))) % 74.11/74.32 (step-pop @p930 :rule scope :premises (@p646)) % 74.11/74.32 (step @p647 :rule process_scope :premises (@p930) :args (@t277)) % 74.11/74.32 (step @p649 :rule implies_elim :premises (@p647)) % 74.11/74.32 (step @p650 :rule chain_m_resolution :premises (@p649 @p644) :args (@t277 @t52 (@list @t267))) % 74.11/74.32 (step @p651 :rule bool-eq-true :args (@t278)) % 74.11/74.32 (step @p652 :rule eq-symm :args (true @t278)) % 74.11/74.32 (step @p653 :rule trans :premises (@p652 @p651)) % 74.11/74.32 (step @p654 :rule refl :args (@t278)) % 74.11/74.32 (step @p655 :rule eq-refl :args (@t37)) % 74.11/74.32 (step @p656 :rule cong :premises (@p655 @p654) :args (@t279)) % 74.11/74.32 (step @p657 :rule trans :premises (@p656 @p653)) % 74.11/74.32 (step @p658 :rule cong :premises (@p53 @p657) :args ((=> @t51 @t279))) % 74.11/74.32 (assume-push @p931 @t51) % 74.11/74.32 (step @p660 :rule instantiate :premises (@p43) :args ((@list @t37 @t37))) % 74.11/74.32 (step-pop @p932 :rule scope :premises (@p660)) % 74.11/74.32 (step @p661 :rule process_scope :premises (@p932) :args (@t279)) % 74.11/74.32 (step @p663 :rule eq_resolve :premises (@p661 @p658)) % 74.11/74.32 (step @p664 :rule implies_elim :premises (@p663)) % 74.11/74.32 (step @p665 :rule chain_m_resolution :premises (@p664 @p43) :args (@t278 @t52 @t53)) % 74.11/74.32 (assume-push @p933 @t116) % 74.11/74.32 (assume-push @p934 @t263) % 74.11/74.32 (assume-push @p935 @t278) % 74.11/74.32 (assume-push @p936 @t278) % 74.11/74.32 (assume-push @p937 @t263) % 74.11/74.32 (assume-push @p938 @t116) % 74.11/74.32 (step @p672 :rule true_intro :premises (@p665)) % 74.11/74.32 (step @p673 :rule cong :premises (@p934) :args (@t30)) % 74.11/74.32 (step @p674 :rule cong :premises (@p934 @p673) :args (@t155)) % 74.11/74.32 (step @p675 :rule symm :premises (@p934)) % 74.11/74.32 (step @p676 :rule cong :premises (@p675 @p933) :args (@t275)) % 74.11/74.32 (step @p677 :rule trans :premises (@p676 @p674 @p672)) % 74.11/74.32 (step @p678 :rule true_elim :premises (@p677)) % 74.11/74.32 (step-pop @p939 :rule scope :premises (@p678)) % 74.11/74.32 (step-pop @p940 :rule scope :premises (@p939)) % 74.11/74.32 (step-pop @p941 :rule scope :premises (@p940)) % 74.11/74.32 (step @p679 :rule process_scope :premises (@p941) :args (@t275)) % 74.11/74.32 (step @p683 :rule and_intro :premises (@p665 @p934 @p933)) % 74.11/74.32 (step @p684 :rule modus_ponens :premises (@p683 @p679)) % 74.11/74.32 (step-pop @p942 :rule scope :premises (@p684)) % 74.11/74.32 (step-pop @p943 :rule scope :premises (@p942)) % 74.11/74.32 (step-pop @p944 :rule scope :premises (@p943)) % 74.11/74.32 (step @p685 :rule process_scope :premises (@p944) :args (@t275)) % 74.11/74.32 (step @p689 :rule implies_elim :premises (@p685)) % 74.11/74.32 (step @p690 :rule cnf_and_neg :args (@t280)) % 74.11/74.32 (step @p691 :rule resolution :premises (@p690 @p689) :args (true @t280)) % 74.11/74.32 (step @p692 :rule reordering :premises (@p691) :args ((or @t256 @t275 @t282 @t281))) % 74.11/74.32 (step @p693 :rule chain_m_resolution :premises (@p692 @p582 @p626 @p665) :args (@t275 @t266 (@list @t116 @t263 @t278))) % 74.11/74.32 (step @p694 :rule cnf_or_pos :args (@t277)) % 74.11/74.32 (step @p695 :rule reordering :premises (@p694) :args ((or @t274 @t276 (not @t277)))) % 74.11/74.32 (step @p696 :rule chain_m_resolution :premises (@p695 @p693 @p650) :args (@t274 @t59 (@list @t275 @t277))) % 74.11/74.32 (assume-push @p945 @t263) % 74.11/74.32 (assume-push @p946 @t278) % 74.11/74.32 (assume-push @p947 @t278) % 74.11/74.32 (assume-push @p948 @t263) % 74.11/74.32 (step @p672 :rule true_intro :premises (@p665)) % 74.11/74.32 (step @p701 :rule cong :premises (@p945) :args (@t30)) % 74.11/74.32 (step @p702 :rule cong :premises (@p945 @p701) :args (@t155)) % 74.11/74.32 (step @p703 :rule trans :premises (@p702 @p672)) % 74.11/74.32 (step @p704 :rule true_elim :premises (@p703)) % 74.11/74.32 (step-pop @p949 :rule scope :premises (@p704)) % 74.11/74.32 (step-pop @p950 :rule scope :premises (@p949)) % 74.11/74.32 (step @p705 :rule process_scope :premises (@p950) :args (@t155)) % 74.11/74.32 (step @p708 :rule and_intro :premises (@p665 @p945)) % 74.11/74.32 (step @p709 :rule modus_ponens :premises (@p708 @p705)) % 74.11/74.32 (step-pop @p951 :rule scope :premises (@p709)) % 74.11/74.32 (step-pop @p952 :rule scope :premises (@p951)) % 74.11/74.32 (step @p710 :rule process_scope :premises (@p952) :args (@t155)) % 74.11/74.32 (step @p713 :rule implies_elim :premises (@p710)) % 74.11/74.32 (step @p714 :rule cnf_and_neg :args (@t283)) % 74.11/74.32 (step @p715 :rule resolution :premises (@p714 @p713) :args (true @t283)) % 74.11/74.32 (step @p716 :rule reordering :premises (@p715) :args ((or @t282 @t155 @t281))) % 74.11/74.32 (step @p717 :rule chain_m_resolution :premises (@p716 @p626 @p665) :args (@t155 @t59 (@list @t263 @t278))) % 74.11/74.32 (step @p718 :rule chain_m_resolution :premises (@p339 @p717) :args (@t164 @t52 (@list @t155))) % 74.11/74.32 (step @p719 :rule chain_m_resolution :premises (@p344 @p718 @p342) :args (@t166 @t59 (@list @t164 @t167))) % 74.11/74.32 (step @p720 :rule chain_m_resolution :premises (@p349 @p719) :args (@t175 @t52 (@list @t166))) % 74.11/74.32 (step @p721 :rule chain_m_resolution :premises (@p386 @p720 @p384) :args (@t185 @t77 (@list @t174 @t184))) % 74.11/74.32 (step @p722 :rule chain_m_resolution :premises (@p562 @p560 @p721) :args (@t240 @t229 (@list @t205 @t183))) % 74.11/74.32 (step @p723 :rule chain_m_resolution :premises (@p568 @p722 @p566) :args (@t246 @t77 (@list @t239 @t245))) % 74.11/74.32 (step @p724 :rule chain_m_resolution :premises (@p578 @p723 @p576) :args (@t251 @t77 (@list @t244 @t252))) % 74.11/74.32 (step @p725 :rule chain_m_resolution :premises (@p581 @p724 @p579) :args (@t254 @t77 (@list @t250 @t253))) % 74.11/74.32 (step @p726 :rule chain_m_resolution :premises (@p569 @p725) :args ((not @t241) @t85 (@list @t247))) % 74.11/74.32 (step @p727 :rule chain_m_resolution :premises (@p565 @p726 @p563) :args (@t243 @t77 (@list @t241 @t242))) % 74.11/74.32 (step @p728 :rule chain_m_resolution :premises (@p433 @p727 @p426) :args (@t163 @t77 (@list @t203 @t173))) % 74.11/74.32 (step @p729 :rule chain_m_resolution :premises (@p383 @p350 @p351 @p728) :args (@t169 @t266 (@list @t180 @t178 @t163))) % 74.11/74.32 (step @p730 :rule chain_m_resolution :premises (@p347 @p729 @p345) :args (@t165 @t59 (@list @t169 @t170))) % 74.11/74.32 (step @p731 :rule chain_m_resolution :premises (@p341 @p133 @p730) :args (@t160 @t77 (@list @t89 @t165))) % 74.11/74.32 (step @p732 :rule chain_m_resolution :premises (@p338 @p731 @p336) :args (@t147 @t59 (@list @t160 @t162))) % 74.11/74.32 (step @p733 :rule refl :args (@t282)) % 74.11/74.32 (step @p734 :rule refl :args (@t284)) % 74.11/74.32 (step @p735 :rule bool-double-not-elim :args (@t89)) % 74.11/74.32 (step @p736 :rule nary_cong :premises (@p73 @p72 @p735 @p734 @p733 @p242) :args ((or @t67 @t65 (not @t91) @t284 @t282 @t148))) % 74.11/74.32 (assume-push @p953 @t274) % 74.11/74.32 (assume-push @p954 @t66) % 74.11/74.32 (assume-push @p955 @t64) % 74.11/74.32 (assume-push @p956 @t263) % 74.11/74.32 (assume-push @p957 @t147) % 74.11/74.32 (assume-push @p958 @t91) % 74.11/74.32 (step @p80 :rule evaluate :args (@t70)) % 74.11/74.32 (step @p743 :rule true_intro :premises (@p953)) % 74.11/74.32 (step @p744 :rule symm :premises (@p28)) % 74.11/74.32 (step @p745 :rule symm :premises (@p29)) % 74.11/74.32 (step @p746 :rule trans :premises (@p745 @p744)) % 74.11/74.32 (step @p747 :rule refl :args (@t37)) % 74.11/74.32 (step @p748 :rule cong :premises (@p747 @p746) :args ((tptp.mem @t37 @t56))) % 74.11/74.32 (step @p749 :rule cong :premises (@p956 @p82) :args ((tptp.mem @t28 @t28))) % 74.11/74.32 (step @p750 :rule symm :premises (@p957)) % 74.11/74.32 (step @p751 :rule symm :premises (@p956)) % 74.11/74.32 (step @p752 :rule cong :premises (@p751 @p750) :args ((tptp.mem @t37 @t33))) % 74.11/74.32 (step @p753 :rule refl :args (@t33)) % 74.11/74.32 (step @p754 :rule cong :premises (@p956 @p753) :args (@t89)) % 74.11/74.32 (step @p755 :rule false_intro :premises (@p958)) % 74.11/74.32 (step @p756 :rule symm :premises (@p755)) % 74.11/74.32 (step @p757 :rule trans :premises (@p756 @p754 @p752 @p749 @p748 @p743)) % 74.11/74.32 (step @p758 false :rule eq_resolve :premises (@p757 @p80)) % 74.11/74.32 (step-pop @p959 :rule scope :premises (@p758)) % 74.11/74.32 (step-pop @p960 :rule scope :premises (@p959)) % 74.11/74.32 (step-pop @p961 :rule scope :premises (@p960)) % 74.11/74.32 (step-pop @p962 :rule scope :premises (@p961)) % 74.11/74.32 (step-pop @p963 :rule scope :premises (@p962)) % 74.11/74.32 (step-pop @p964 :rule scope :premises (@p963)) % 74.11/74.32 (step @p759 :rule process_scope :premises (@p964) :args (false)) % 74.11/74.32 (assume-push @p965 @t66) % 74.11/74.32 (assume-push @p966 @t64) % 74.11/74.32 (assume-push @p967 @t91) % 74.11/74.32 (assume-push @p968 @t274) % 74.11/74.32 (assume-push @p969 @t263) % 74.11/74.32 (assume-push @p970 @t147) % 74.11/74.32 (step @p772 :rule and_intro :premises (@p968 @p28 @p29 @p969 @p970 @p967)) % 74.11/74.32 (step-pop @p971 :rule scope :premises (@p772)) % 74.11/74.32 (step-pop @p972 :rule scope :premises (@p971)) % 74.11/74.32 (step-pop @p973 :rule scope :premises (@p972)) % 74.11/74.32 (step-pop @p974 :rule scope :premises (@p973)) % 74.11/74.32 (step-pop @p975 :rule scope :premises (@p974)) % 74.11/74.32 (step-pop @p976 :rule scope :premises (@p975)) % 74.11/74.32 (step @p773 :rule process_scope :premises (@p976) :args (@t285)) % 74.11/74.32 (step @p780 :rule implies_elim :premises (@p773)) % 74.11/74.32 (step @p781 :rule resolution :premises (@p780 @p759) :args (true @t285)) % 74.11/74.32 (step @p782 :rule not_and :premises (@p781)) % 74.11/74.32 (step @p783 :rule eq_resolve :premises (@p782 @p736)) % 74.11/74.32 (step @p784 false :rule chain_m_resolution :premises (@p783 @p732 @p696 @p626 @p133 @p29 @p28) :args (false (@list false false false true false false) (@list @t147 @t274 @t263 @t89 @t64 @t66))) % 74.11/74.32 ) % 74.11/74.32 % SZS output end Proof % 74.11/74.32 % cvc5 exiting %------------------------------------------------------------------------------