%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV568+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 : n017.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 158.81s 159.13s % Output : Proof 158.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV568+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n017.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:38:46 EDT 2026 % 0.15/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 158.81/159.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 158.81/159.13 --- Run --no-e-matching --full-saturate-quant at 6... % 158.81/159.13 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 158.81/159.13 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 158.81/159.13 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 158.81/159.13 --- Run --trigger-sel=max --full-saturate-quant at 15... % 158.81/159.13 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 158.81/159.13 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 158.81/159.13 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.81/159.13 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.81/159.13 % SZS status Theorem % 158.81/159.13 % SZS output start Proof % 158.81/159.13 ( % 158.81/159.13 (declare-sort $$unsorted 0) % 158.81/159.13 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 158.81/159.13 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.e $$unsorted) % 158.81/159.13 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 158.81/159.13 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 158.81/159.13 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 158.81/159.13 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 158.81/159.13 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 158.81/159.13 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 158.81/159.13 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 158.81/159.13 (define @t1 () (@var "Y" $$unsorted)) % 158.81/159.13 (define @t2 () (@var "Z" $$unsorted)) % 158.81/159.13 (define @t3 () (tptp.mem @t2 @t1)) % 158.81/159.13 (define @t4 () (@var "X" $$unsorted)) % 158.81/159.13 (define @t5 () (tptp.mem @t2 @t4)) % 158.81/159.13 (define @t6 () (@list @t2)) % 158.81/159.13 (define @t7 () (forall @t6 (=> @t5 @t3))) % 158.81/159.13 (define @t8 () (tptp.subq @t4 @t1)) % 158.81/159.13 (define @t9 () (= @t8 @t7)) % 158.81/159.13 (define @t10 () (@list @t4 @t1)) % 158.81/159.13 (define @t11 () (forall @t10 @t9)) % 158.81/159.13 (define @t12 () (= @t4 @t1)) % 158.81/159.13 (define @t13 () (tptp.subq @t1 @t4)) % 158.81/159.13 (define @t14 () (=> @t13 @t12)) % 158.81/159.13 (define @t15 () (forall @t10 (=> @t8 @t14))) % 158.81/159.13 (define @t16 () (@list @t4)) % 158.81/159.13 (define @t17 () (tptp.s @t1)) % 158.81/159.13 (define @t18 () (tptp.mem @t4 @t17)) % 158.81/159.13 (define @t19 () (forall @t10 (= @t18 @t12))) % 158.81/159.13 (define @t20 () (tptp.mem @t4 @t2)) % 158.81/159.13 (define @t21 () (tptp.mem @t4 @t1)) % 158.81/159.13 (define @t22 () (@list @t4 @t1 @t2)) % 158.81/159.13 (define @t23 () (tptp.p @t1)) % 158.81/159.13 (define @t24 () (tptp.mem @t4 @t23)) % 158.81/159.13 (define @t25 () (forall @t10 (= @t24 @t8))) % 158.81/159.13 (define @t26 () (@list @t1)) % 158.81/159.13 (define @t27 () (not @t8)) % 158.81/159.13 (define @t28 () (tptp.n tptp.e)) % 158.81/159.13 (define @t29 () (tptp.n @t28)) % 158.81/159.13 (define @t30 () (tptp.n @t29)) % 158.81/159.13 (define @t31 () (tptp.s @t29)) % 158.81/159.13 (define @t32 () (tptp.n @t31)) % 158.81/159.13 (define @t33 () (tptp.a @t32 @t30)) % 158.81/159.13 (define @t34 () (tptp.s @t28)) % 158.81/159.13 (define @t35 () (tptp.p @t34)) % 158.81/159.13 (define @t36 () (tptp.n @t34)) % 158.81/159.13 (define @t37 () (tptp.a @t36 @t35)) % 158.81/159.13 (define @t38 () (tptp.u @t37 @t33)) % 158.81/159.13 (define @t39 () (tptp.n @t30)) % 158.81/159.13 (define @t40 () (tptp.s @t31)) % 158.81/159.13 (define @t41 () (tptp.u @t40 @t39)) % 158.81/159.13 (define @t42 () (tptp.s @t34)) % 158.81/159.13 (define @t43 () (tptp.a @t42 @t35)) % 158.81/159.13 (define @t44 () (tptp.u @t43 @t41)) % 158.81/159.13 (define @t45 () (tptp.subq @t44 @t38)) % 158.81/159.13 (define @t46 () (not @t45)) % 158.81/159.13 (define @t47 () (@list @t28)) % 158.81/159.13 (define @t48 () (tptp.mem @t28 @t34)) % 158.81/159.13 (define @t49 () (= (= @t28 @t28) @t48)) % 158.81/159.13 (define @t50 () (forall @t10 (= @t12 @t18))) % 158.81/159.13 (define @t51 () (@list @t28 @t28)) % 158.81/159.13 (define @t52 () (@list false)) % 158.81/159.13 (define @t53 () (@list @t50)) % 158.81/159.13 (define @t54 () (= tptp.e @t34)) % 158.81/159.13 (define @t55 () (tptp.mem tptp.e @t42)) % 158.81/159.13 (define @t56 () (= @t54 @t55)) % 158.81/159.13 (define @t57 () (@list tptp.e @t34)) % 158.81/159.13 (define @t58 () (= @t55 @t54)) % 158.81/159.13 (define @t59 () (tptp.s @t35)) % 158.81/159.13 (define @t60 () (forall @t6 (or (not (tptp.mem @t2 @t44)) (tptp.mem @t2 @t38)))) % 158.81/159.13 (define @t61 () (= @t45 @t60)) % 158.81/159.13 (define @t62 () (@list false false)) % 158.81/159.13 (define @t63 () (@list tptp.e)) % 158.81/159.13 (define @t64 () (tptp.s @t30)) % 158.81/159.13 (define @t65 () (tptp.mem @t2 @t28)) % 158.81/159.13 (define @t66 () (not @t65)) % 158.81/159.13 (define @t67 () (forall @t6 (or @t66 (tptp.mem @t2 @t29)))) % 158.81/159.13 (define @t68 () (@quantifiers_skolemize @t67 0)) % 158.81/159.13 (define @t69 () (tptp.mem @t68 @t28)) % 158.81/159.13 (define @t70 () (tptp.mem @t68 @t29)) % 158.81/159.13 (define @t71 () (not @t69)) % 158.81/159.13 (define @t72 () (or @t71 @t70)) % 158.81/159.13 (define @t73 () (or @t69 (tptp.mem @t68 @t34))) % 158.81/159.13 (define @t74 () (tptp.u @t28 @t34)) % 158.81/159.13 (define @t75 () (tptp.mem @t68 @t74)) % 158.81/159.13 (define @t76 () (= @t75 @t73)) % 158.81/159.13 (define @t77 () (not @t75)) % 158.81/159.13 (define @t78 () (tptp.a @t28 @t28)) % 158.81/159.13 (define @t79 () (= @t78 @t74)) % 158.81/159.13 (define @t80 () (not @t79)) % 158.81/159.13 (define @t81 () (= @t29 @t78)) % 158.81/159.13 (define @t82 () (not @t81)) % 158.81/159.13 (define @t83 () (not @t70)) % 158.81/159.13 (define @t84 () (and @t81 @t79 @t83)) % 158.81/159.13 (define @t85 () (not @t72)) % 158.81/159.13 (define @t86 () (not @t67)) % 158.81/159.13 (define @t87 () (tptp.mem tptp.e @t29)) % 158.81/159.13 (define @t88 () (tptp.mem tptp.e @t28)) % 158.81/159.13 (define @t89 () (not @t88)) % 158.81/159.13 (define @t90 () (or @t89 @t87)) % 158.81/159.13 (define @t91 () (tptp.s tptp.e)) % 158.81/159.13 (define @t92 () (tptp.mem tptp.e @t91)) % 158.81/159.13 (define @t93 () (= (= tptp.e tptp.e) @t92)) % 158.81/159.13 (define @t94 () (@list tptp.e tptp.e)) % 158.81/159.13 (define @t95 () (tptp.mem tptp.e tptp.e)) % 158.81/159.13 (define @t96 () (or @t95 @t92)) % 158.81/159.13 (define @t97 () (tptp.u tptp.e @t91)) % 158.81/159.13 (define @t98 () (tptp.mem tptp.e @t97)) % 158.81/159.13 (define @t99 () (= @t98 @t96)) % 158.81/159.13 (define @t100 () (tptp.mem tptp.e @t31)) % 158.81/159.13 (define @t101 () (or @t87 @t100)) % 158.81/159.13 (define @t102 () (not @t87)) % 158.81/159.13 (define @t103 () (tptp.u @t29 @t31)) % 158.81/159.13 (define @t104 () (tptp.mem tptp.e @t103)) % 158.81/159.13 (define @t105 () (= @t104 @t101)) % 158.81/159.13 (define @t106 () (@list @t29 @t29)) % 158.81/159.13 (define @t107 () (@list @t29)) % 158.81/159.13 (define @t108 () (tptp.a @t29 @t29)) % 158.81/159.13 (define @t109 () (= @t30 @t108)) % 158.81/159.13 (define @t110 () (= @t108 @t103)) % 158.81/159.13 (define @t111 () (tptp.mem tptp.e @t30)) % 158.81/159.13 (define @t112 () (and @t109 @t110 @t104)) % 158.81/159.13 (define @t113 () (not @t104)) % 158.81/159.13 (define @t114 () (not @t110)) % 158.81/159.13 (define @t115 () (not @t109)) % 158.81/159.13 (define @t116 () (@list false false false)) % 158.81/159.13 (define @t117 () (tptp.mem tptp.e @t64)) % 158.81/159.13 (define @t118 () (or @t111 @t117)) % 158.81/159.13 (define @t119 () (tptp.u @t30 @t64)) % 158.81/159.13 (define @t120 () (tptp.mem tptp.e @t119)) % 158.81/159.13 (define @t121 () (= @t120 @t118)) % 158.81/159.13 (define @t122 () (tptp.a @t30 @t30)) % 158.81/159.13 (define @t123 () (= @t39 @t122)) % 158.81/159.13 (define @t124 () (= @t122 @t119)) % 158.81/159.13 (define @t125 () (tptp.mem tptp.e @t39)) % 158.81/159.13 (define @t126 () (and @t123 @t124 @t120)) % 158.81/159.13 (define @t127 () (tptp.mem tptp.e @t40)) % 158.81/159.13 (define @t128 () (or @t127 @t125)) % 158.81/159.13 (define @t129 () (tptp.mem tptp.e @t41)) % 158.81/159.13 (define @t130 () (= @t129 @t128)) % 158.81/159.13 (define @t131 () (or (tptp.mem tptp.e @t43) @t129)) % 158.81/159.13 (define @t132 () (tptp.mem tptp.e @t44)) % 158.81/159.13 (define @t133 () (= @t132 @t131)) % 158.81/159.13 (define @t134 () (tptp.mem tptp.e @t38)) % 158.81/159.13 (define @t135 () (not @t132)) % 158.81/159.13 (define @t136 () (or @t135 @t134)) % 158.81/159.13 (define @t137 () (tptp.mem tptp.e @t33)) % 158.81/159.13 (define @t138 () (tptp.mem tptp.e @t37)) % 158.81/159.13 (define @t139 () (or @t138 @t137)) % 158.81/159.13 (define @t140 () (= @t134 @t139)) % 158.81/159.13 (define @t141 () (= tptp.e @t30)) % 158.81/159.13 (define @t142 () (= @t141 @t117)) % 158.81/159.13 (define @t143 () (= @t117 @t141)) % 158.81/159.13 (define @t144 () (not @t141)) % 158.81/159.13 (define @t145 () (not @t95)) % 158.81/159.13 (define @t146 () (not @t145)) % 158.81/159.13 (define @t147 () (= true false)) % 158.81/159.13 (define @t148 () (and @t145 @t141 @t109 @t110 @t104)) % 158.81/159.13 (define @t149 () (@list true false false false)) % 158.81/159.13 (define @t150 () (not @t117)) % 158.81/159.13 (define @t151 () (@list true false)) % 158.81/159.13 (define @t152 () (tptp.mem @t2 tptp.e)) % 158.81/159.13 (define @t153 () (forall @t6 (or @t66 @t152))) % 158.81/159.13 (define @t154 () (@quantifiers_skolemize @t153 0)) % 158.81/159.13 (define @t155 () (tptp.mem @t154 @t91)) % 158.81/159.13 (define @t156 () (= @t154 tptp.e)) % 158.81/159.13 (define @t157 () (= @t156 @t155)) % 158.81/159.13 (define @t158 () (= tptp.e @t154)) % 158.81/159.13 (define @t159 () (= @t155 @t158)) % 158.81/159.13 (define @t160 () (not @t13)) % 158.81/159.13 (define @t161 () (@list tptp.e @t28)) % 158.81/159.13 (define @t162 () (not @t98)) % 158.81/159.13 (define @t163 () (tptp.a tptp.e tptp.e)) % 158.81/159.13 (define @t164 () (= @t163 @t97)) % 158.81/159.13 (define @t165 () (not @t164)) % 158.81/159.13 (define @t166 () (= tptp.e @t28)) % 158.81/159.13 (define @t167 () (not @t166)) % 158.81/159.13 (define @t168 () (= @t28 @t163)) % 158.81/159.13 (define @t169 () (not @t168)) % 158.81/159.13 (define @t170 () (= false true)) % 158.81/159.13 (define @t171 () (and @t98 @t164 @t168 @t166 @t145)) % 158.81/159.13 (define @t172 () (not @t152)) % 158.81/159.13 (define @t173 () (forall @t6 (or @t172 @t65))) % 158.81/159.13 (define @t174 () (@quantifiers_skolemize @t173 0)) % 158.81/159.13 (define @t175 () (tptp.mem @t174 tptp.e)) % 158.81/159.13 (define @t176 () (not @t175)) % 158.81/159.13 (define @t177 () (or @t176 (tptp.mem @t174 @t28))) % 158.81/159.13 (define @t178 () (@list true)) % 158.81/159.13 (define @t179 () (not @t177)) % 158.81/159.13 (define @t180 () (not @t173)) % 158.81/159.13 (define @t181 () (tptp.subq tptp.e @t28)) % 158.81/159.13 (define @t182 () (= @t181 @t173)) % 158.81/159.13 (define @t183 () (tptp.subq @t28 tptp.e)) % 158.81/159.13 (define @t184 () (not @t183)) % 158.81/159.13 (define @t185 () (not @t181)) % 158.81/159.13 (define @t186 () (or @t185 @t184 @t166)) % 158.81/159.13 (define @t187 () (= @t183 @t153)) % 158.81/159.13 (define @t188 () (not @t153)) % 158.81/159.13 (define @t189 () (tptp.mem @t154 tptp.e)) % 158.81/159.13 (define @t190 () (tptp.mem @t154 @t28)) % 158.81/159.13 (define @t191 () (not @t190)) % 158.81/159.13 (define @t192 () (or @t191 @t189)) % 158.81/159.13 (define @t193 () (not @t192)) % 158.81/159.13 (define @t194 () (or @t189 @t155)) % 158.81/159.13 (define @t195 () (tptp.mem @t154 @t97)) % 158.81/159.13 (define @t196 () (= @t195 @t194)) % 158.81/159.13 (define @t197 () (and @t168 @t164 @t190)) % 158.81/159.13 (define @t198 () (@list @t192)) % 158.81/159.13 (define @t199 () (not @t189)) % 158.81/159.13 (define @t200 () (not @t158)) % 158.81/159.13 (define @t201 () (= tptp.e @t29)) % 158.81/159.13 (define @t202 () (not @t201)) % 158.81/159.13 (define @t203 () (and @t87 @t158 @t201 @t199)) % 158.81/159.13 (define @t204 () (= @t201 @t100)) % 158.81/159.13 (define @t205 () (not @t100)) % 158.81/159.13 (define @t206 () (= tptp.e @t31)) % 158.81/159.13 (define @t207 () (= @t206 @t127)) % 158.81/159.13 (define @t208 () (= @t127 @t206)) % 158.81/159.13 (define @t209 () (tptp.mem @t29 @t31)) % 158.81/159.13 (define @t210 () (= (= @t29 @t29) @t209)) % 158.81/159.13 (define @t211 () (not @t209)) % 158.81/159.13 (define @t212 () (not @t206)) % 158.81/159.13 (define @t213 () (tptp.mem @t29 tptp.e)) % 158.81/159.13 (define @t214 () (not @t213)) % 158.81/159.13 (define @t215 () (not @t127)) % 158.81/159.13 (define @t216 () (or @t100 @t127)) % 158.81/159.13 (define @t217 () (not @t216)) % 158.81/159.13 (define @t218 () (@list true true)) % 158.81/159.13 (define @t219 () (tptp.u @t31 @t40)) % 158.81/159.13 (define @t220 () (tptp.mem tptp.e @t219)) % 158.81/159.13 (define @t221 () (= @t220 @t216)) % 158.81/159.13 (define @t222 () (not @t220)) % 158.81/159.13 (define @t223 () (tptp.mem tptp.e @t32)) % 158.81/159.13 (define @t224 () (not @t223)) % 158.81/159.13 (define @t225 () (tptp.a @t31 @t31)) % 158.81/159.13 (define @t226 () (= @t225 @t219)) % 158.81/159.13 (define @t227 () (not @t226)) % 158.81/159.13 (define @t228 () (= @t32 @t225)) % 158.81/159.13 (define @t229 () (not @t228)) % 158.81/159.13 (define @t230 () (and @t228 @t226 @t222)) % 158.81/159.13 (define @t231 () (@list false false true)) % 158.81/159.13 (define @t232 () (or @t223 @t117)) % 158.81/159.13 (define @t233 () (not @t232)) % 158.81/159.13 (define @t234 () (tptp.u @t32 @t64)) % 158.81/159.13 (define @t235 () (tptp.mem tptp.e @t234)) % 158.81/159.13 (define @t236 () (= @t235 @t232)) % 158.81/159.13 (define @t237 () (not @t235)) % 158.81/159.13 (define @t238 () (not @t137)) % 158.81/159.13 (define @t239 () (= @t33 @t234)) % 158.81/159.13 (define @t240 () (not @t239)) % 158.81/159.13 (define @t241 () (and @t239 @t237)) % 158.81/159.13 (define @t242 () (tptp.u @t36 @t59)) % 158.81/159.13 (define @t243 () (= @t37 @t242)) % 158.81/159.13 (define @t244 () (tptp.mem tptp.e @t242)) % 158.81/159.13 (define @t245 () (and @t243 @t138)) % 158.81/159.13 (define @t246 () (tptp.mem tptp.e @t59)) % 158.81/159.13 (define @t247 () (tptp.mem tptp.e @t36)) % 158.81/159.13 (define @t248 () (or @t247 @t246)) % 158.81/159.13 (define @t249 () (= @t244 @t248)) % 158.81/159.13 (define @t250 () (= tptp.e @t35)) % 158.81/159.13 (define @t251 () (= @t250 @t246)) % 158.81/159.13 (define @t252 () (= @t246 @t250)) % 158.81/159.13 (define @t253 () (forall @t6 (or @t172 (tptp.mem @t2 @t34)))) % 158.81/159.13 (define @t254 () (@quantifiers_skolemize @t253 0)) % 158.81/159.13 (define @t255 () (tptp.mem @t254 tptp.e)) % 158.81/159.13 (define @t256 () (not @t255)) % 158.81/159.13 (define @t257 () (or @t256 (tptp.mem @t254 @t34))) % 158.81/159.13 (define @t258 () (not @t257)) % 158.81/159.13 (define @t259 () (not @t253)) % 158.81/159.13 (define @t260 () (tptp.subq tptp.e @t34)) % 158.81/159.13 (define @t261 () (= @t260 @t253)) % 158.81/159.13 (define @t262 () (tptp.mem tptp.e @t35)) % 158.81/159.13 (define @t263 () (= @t260 @t262)) % 158.81/159.13 (define @t264 () (not @t262)) % 158.81/159.13 (define @t265 () (not @t250)) % 158.81/159.13 (define @t266 () (not @t246)) % 158.81/159.13 (define @t267 () (tptp.a @t34 @t34)) % 158.81/159.13 (define @t268 () (= @t36 @t267)) % 158.81/159.13 (define @t269 () (tptp.u @t34 @t42)) % 158.81/159.13 (define @t270 () (= @t267 @t269)) % 158.81/159.13 (define @t271 () (tptp.mem tptp.e @t269)) % 158.81/159.13 (define @t272 () (and @t268 @t270 @t247)) % 158.81/159.13 (define @t273 () (tptp.mem tptp.e @t34)) % 158.81/159.13 (define @t274 () (or @t273 @t55)) % 158.81/159.13 (define @t275 () (= @t271 @t274)) % 158.81/159.13 (define @t276 () (= @t166 @t273)) % 158.81/159.13 (define @t277 () (not @t273)) % 158.81/159.13 (define @t278 () (not @t54)) % 158.81/159.13 (define @t279 () (not @t48)) % 158.81/159.13 (define @t280 () (tptp.mem @t28 tptp.e)) % 158.81/159.13 (define @t281 () (not @t280)) % 158.81/159.13 (define @t282 () (and @t281 @t54 @t48)) % 158.81/159.13 (assume @p1 @t11) % 158.81/159.13 (assume @p2 @t15) % 158.81/159.13 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 158.81/159.13 (assume @p4 (forall @t16 (not (tptp.mem @t4 tptp.e)))) % 158.81/159.13 (assume @p5 @t19) % 158.81/159.13 (assume @p6 (forall @t22 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t21 @t20)))) % 158.81/159.13 (assume @p7 (forall @t22 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t21 (not @t20))))) % 158.81/159.13 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t17)))) % 158.81/159.13 (assume @p9 (forall @t16 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 158.81/159.13 (assume @p10 @t25) % 158.81/159.13 (assume @p11 (forall @t16 (= (tptp.atleast2p @t4) (exists @t26 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t23))))))) % 158.81/159.13 (assume @p12 (forall @t16 (= (tptp.atleast3p @t4) (exists @t26 (and @t13 (tptp.atleast2p @t1) @t27))))) % 158.81/159.13 (assume @p13 (forall @t16 (= (tptp.atleast4p @t4) (exists @t26 (and @t13 (tptp.atleast3p @t1) @t27))))) % 158.81/159.13 (assume @p14 (forall @t16 (= (tptp.atleast5p @t4) (exists @t26 (and @t13 (tptp.atleast4p @t1) @t27))))) % 158.81/159.13 (assume @p15 (forall @t16 (= (tptp.atleast6p @t4) (exists @t26 (and @t13 (tptp.atleast5p @t1) @t27))))) % 158.81/159.13 (assume @p16 (forall @t16 (= (tptp.atleast7p @t4) (exists @t26 (and @t13 (tptp.atleast6p @t1) @t27))))) % 158.81/159.13 (assume @p17 (forall @t16 (= (tptp.atleast8p @t4) (exists @t26 (and @t13 (tptp.atleast7p @t1) @t27))))) % 158.81/159.13 (assume @p18 (forall @t16 (= (tptp.atleast9p @t4) (exists @t26 (and @t13 (tptp.atleast8p @t1) @t27))))) % 158.81/159.13 (assume @p19 (forall @t16 (= (tptp.atleast10p @t4) (exists @t26 (and @t13 (tptp.atleast9p @t1) @t27))))) % 158.81/159.13 (assume @p20 (forall @t16 (= (tptp.atleast11p @t4) (exists @t26 (and @t13 (tptp.atleast10p @t1) @t27))))) % 158.81/159.13 (assume @p21 (forall @t16 (= (tptp.atleast12p @t4) (exists @t26 (and @t13 (tptp.atleast11p @t1) @t27))))) % 158.81/159.13 (assume @p22 (forall @t16 (= (tptp.atleast13p @t4) (exists @t26 (and @t13 (tptp.atleast12p @t1) @t27))))) % 158.81/159.13 (assume @p23 (forall @t16 (= (tptp.atleast14p @t4) (exists @t26 (and @t13 (tptp.atleast13p @t1) @t27))))) % 158.81/159.13 (assume @p24 (forall @t16 (= (tptp.atleast15p @t4) (exists @t26 (and @t13 (tptp.atleast14p @t1) @t27))))) % 158.81/159.13 (assume @p25 (forall @t16 (= (tptp.atleast16p @t4) (exists @t26 (and @t13 (tptp.atleast15p @t1) @t27))))) % 158.81/159.13 (assume @p26 (not @t46)) % 158.81/159.13 (assume @p27 true) % 158.81/159.13 (step @p28 :rule instantiate :premises (@p4) :args (@t47)) % 158.81/159.13 (step @p29 :rule eq-symm :args (@t18 @t12)) % 158.81/159.13 (step @p30 :rule cong :premises (@p29) :args (@t19)) % 158.81/159.13 (step @p31 :rule eq_resolve :premises (@p5 @p30)) % 158.81/159.13 (step @p32 :rule bool-eq-true :args (@t48)) % 158.81/159.13 (step @p33 :rule eq-symm :args (true @t48)) % 158.81/159.13 (step @p34 :rule trans :premises (@p33 @p32)) % 158.81/159.13 (step @p35 :rule refl :args (@t48)) % 158.81/159.13 (step @p36 :rule eq-refl :args (@t28)) % 158.81/159.13 (step @p37 :rule cong :premises (@p36 @p35) :args (@t49)) % 158.81/159.13 (step @p38 :rule trans :premises (@p37 @p34)) % 158.81/159.13 (step @p39 :rule refl :args (@t50)) % 158.81/159.13 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t50 @t49))) % 158.81/159.13 (assume-push @p793 @t50) % 158.81/159.13 (step @p42 :rule instantiate :premises (@p31) :args (@t51)) % 158.81/159.13 (step-pop @p794 :rule scope :premises (@p42)) % 158.81/159.13 (step @p43 :rule process_scope :premises (@p794) :args (@t49)) % 158.81/159.13 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 158.81/159.13 (step @p46 :rule implies_elim :premises (@p45)) % 158.81/159.13 (step @p47 :rule chain_m_resolution :premises (@p46 @p31) :args (@t48 @t52 @t53)) % 158.81/159.13 (step @p48 :rule eq-symm :args (@t54 @t55)) % 158.81/159.13 (step @p49 :rule cong :premises (@p39 @p48) :args ((=> @t50 @t56))) % 158.81/159.13 (assume-push @p795 @t50) % 158.81/159.13 (step @p51 :rule instantiate :premises (@p31) :args (@t57)) % 158.81/159.13 (step-pop @p796 :rule scope :premises (@p51)) % 158.81/159.13 (step @p52 :rule process_scope :premises (@p796) :args (@t56)) % 158.81/159.13 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 158.81/159.13 (step @p55 :rule implies_elim :premises (@p54)) % 158.81/159.13 (step @p56 :rule chain_m_resolution :premises (@p55 @p31) :args (@t58 @t52 @t53)) % 158.81/159.13 (step @p57 :rule instantiate :premises (@p6) :args ((@list tptp.e @t34 @t42))) % 158.81/159.13 (step @p58 :rule instantiate :premises (@p6) :args ((@list tptp.e @t36 @t59))) % 158.81/159.13 (step @p59 :rule instantiate :premises (@p6) :args ((@list tptp.e @t37 @t33))) % 158.81/159.13 (step @p60 :rule bool-impl-elim :args (@t5 @t3)) % 158.81/159.13 (step @p61 :rule cong :premises (@p60) :args (@t7)) % 158.81/159.13 (step @p62 :rule refl :args (@t8)) % 158.81/159.13 (step @p63 :rule cong :premises (@p62 @p61) :args (@t9)) % 158.81/159.13 (step @p64 :rule cong :premises (@p63) :args (@t11)) % 158.81/159.13 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 158.81/159.13 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t44 @t38))) % 158.81/159.13 (step @p67 :rule bool-double-not-elim :args (@t45)) % 158.81/159.13 (step @p68 :rule eq_resolve :premises (@p26 @p67)) % 158.81/159.13 (step @p69 :rule cnf_equiv_pos1 :args (@t61)) % 158.81/159.13 (step @p70 :rule reordering :premises (@p69) :args ((or @t46 @t60 (not @t61)))) % 158.81/159.13 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p66) :args (@t60 @t62 (@list @t45 @t61))) % 158.81/159.13 (step @p72 :rule instantiate :premises (@p71) :args (@t63)) % 158.81/159.13 (step @p73 :rule instantiate :premises (@p6) :args ((@list tptp.e @t43 @t41))) % 158.81/159.13 (step @p74 :rule instantiate :premises (@p6) :args ((@list tptp.e @t40 @t39))) % 158.81/159.13 (step @p75 :rule instantiate :premises (@p6) :args ((@list tptp.e @t30 @t64))) % 158.81/159.13 (step @p76 :rule instantiate :premises (@p6) :args ((@list tptp.e @t29 @t31))) % 158.81/159.13 (step @p77 :rule bool-double-not-elim :args (@t69)) % 158.81/159.13 (step @p78 :rule refl :args (@t72)) % 158.81/159.13 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t72 (not @t71)))) % 158.81/159.13 (step @p80 :rule cnf_or_neg :args (@t72 0)) % 158.81/159.13 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 158.81/159.13 (step @p82 :rule reordering :premises (@p81) :args ((or @t69 @t72))) % 158.81/159.13 (step @p83 :rule cnf_or_neg :args (@t72 1)) % 158.81/159.13 (step @p84 :rule cnf_or_neg :args (@t73 0)) % 158.81/159.13 (step @p85 :rule reordering :premises (@p84) :args ((or @t71 @t73))) % 158.81/159.13 (step @p86 :rule instantiate :premises (@p6) :args ((@list @t68 @t28 @t34))) % 158.81/159.13 (step @p87 :rule cnf_equiv_pos2 :args (@t76)) % 158.81/159.13 (step @p88 :rule reordering :premises (@p87) :args ((or @t75 (not @t73) (not @t76)))) % 158.81/159.13 (step @p89 :rule instantiate :premises (@p9) :args (@t47)) % 158.81/159.13 (step @p90 :rule instantiate :premises (@p8) :args (@t51)) % 158.81/159.13 (step @p91 :rule refl :args (@t77)) % 158.81/159.13 (step @p92 :rule bool-double-not-elim :args (@t70)) % 158.81/159.13 (step @p93 :rule refl :args (@t80)) % 158.81/159.13 (step @p94 :rule refl :args (@t82)) % 158.81/159.13 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91) :args ((or @t82 @t80 (not @t83) @t77))) % 158.81/159.13 (assume-push @p797 @t81) % 158.81/159.13 (assume-push @p798 @t79) % 158.81/159.13 (assume-push @p799 @t83) % 158.81/159.13 (assume-push @p800 @t83) % 158.81/159.13 (assume-push @p801 @t81) % 158.81/159.13 (assume-push @p802 @t79) % 158.81/159.13 (step @p102 :rule false_intro :premises (@p799)) % 158.81/159.13 (step @p103 :rule symm :premises (@p89)) % 158.81/159.13 (step @p104 :rule symm :premises (@p90)) % 158.81/159.13 (step @p105 :rule trans :premises (@p104 @p103)) % 158.81/159.13 (step @p106 :rule refl :args (@t68)) % 158.81/159.13 (step @p107 :rule cong :premises (@p106 @p105) :args (@t75)) % 158.81/159.13 (step @p108 :rule trans :premises (@p107 @p102)) % 158.81/159.13 (step @p109 :rule false_elim :premises (@p108)) % 158.81/159.13 (step-pop @p803 :rule scope :premises (@p109)) % 158.81/159.13 (step-pop @p804 :rule scope :premises (@p803)) % 158.81/159.13 (step-pop @p805 :rule scope :premises (@p804)) % 158.81/159.13 (step @p110 :rule process_scope :premises (@p805) :args (@t77)) % 158.81/159.13 (step @p114 :rule and_intro :premises (@p799 @p89 @p90)) % 158.81/159.13 (step @p115 :rule modus_ponens :premises (@p114 @p110)) % 158.81/159.13 (step-pop @p806 :rule scope :premises (@p115)) % 158.81/159.13 (step-pop @p807 :rule scope :premises (@p806)) % 158.81/159.13 (step-pop @p808 :rule scope :premises (@p807)) % 158.81/159.13 (step @p116 :rule process_scope :premises (@p808) :args (@t77)) % 158.81/159.13 (step @p120 :rule implies_elim :premises (@p116)) % 158.81/159.13 (step @p121 :rule cnf_and_neg :args (@t84)) % 158.81/159.13 (step @p122 :rule resolution :premises (@p121 @p120) :args (true @t84)) % 158.81/159.13 (step @p123 :rule eq_resolve :premises (@p122 @p95)) % 158.81/159.13 (step @p124 :rule chain_m_resolution :premises (@p123 @p90 @p89 @p88 @p86 @p85 @p83 @p82) :args (@t72 (@list false false false false false true false) (@list @t79 @t81 @t75 @t76 @t73 @t70 @t69))) % 158.81/159.13 (step @p125 :rule refl :args (@t85)) % 158.81/159.13 (step @p126 :rule bool-double-not-elim :args (@t67)) % 158.81/159.13 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t86) @t85))) % 158.81/159.13 (assume-push @p809 @t86) % 158.81/159.13 (step @p129 :rule skolemize :premises (@p809)) % 158.81/159.13 (step-pop @p810 :rule scope :premises (@p129)) % 158.81/159.13 (step @p130 :rule process_scope :premises (@p810) :args (@t85)) % 158.81/159.13 (step @p132 :rule implies_elim :premises (@p130)) % 158.81/159.13 (step @p133 :rule eq_resolve :premises (@p132 @p127)) % 158.81/159.13 (step @p134 :rule chain_m_resolution :premises (@p133 @p124) :args (@t67 @t52 (@list @t72))) % 158.81/159.13 (assume-push @p811 @t67) % 158.81/159.13 (step @p136 :rule instantiate :premises (@p811) :args (@t63)) % 158.81/159.13 (step-pop @p812 :rule scope :premises (@p136)) % 158.81/159.13 (step @p137 :rule process_scope :premises (@p812) :args (@t90)) % 158.81/159.13 (step @p139 :rule implies_elim :premises (@p137)) % 158.81/159.13 (step @p140 :rule chain_m_resolution :premises (@p139 @p134) :args (@t90 @t52 (@list @t67))) % 158.81/159.13 (step @p141 :rule instantiate :premises (@p6) :args ((@list tptp.e tptp.e @t91))) % 158.81/159.13 (step @p142 :rule bool-eq-true :args (@t92)) % 158.81/159.13 (step @p143 :rule eq-symm :args (true @t92)) % 158.81/159.13 (step @p144 :rule trans :premises (@p143 @p142)) % 158.81/159.13 (step @p145 :rule refl :args (@t92)) % 158.81/159.13 (step @p146 :rule eq-refl :args (tptp.e)) % 158.81/159.13 (step @p147 :rule cong :premises (@p146 @p145) :args (@t93)) % 158.81/159.13 (step @p148 :rule trans :premises (@p147 @p144)) % 158.81/159.13 (step @p149 :rule cong :premises (@p39 @p148) :args ((=> @t50 @t93))) % 158.81/159.13 (assume-push @p813 @t50) % 158.81/159.13 (step @p151 :rule instantiate :premises (@p31) :args (@t94)) % 158.81/159.13 (step-pop @p814 :rule scope :premises (@p151)) % 158.81/159.13 (step @p152 :rule process_scope :premises (@p814) :args (@t93)) % 158.81/159.13 (step @p154 :rule eq_resolve :premises (@p152 @p149)) % 158.81/159.13 (step @p155 :rule implies_elim :premises (@p154)) % 158.81/159.13 (step @p156 :rule chain_m_resolution :premises (@p155 @p31) :args (@t92 @t52 @t53)) % 158.81/159.13 (step @p157 :rule cnf_or_neg :args (@t96 1)) % 158.81/159.13 (step @p158 :rule reordering :premises (@p157) :args ((or (not @t92) @t96))) % 158.81/159.13 (step @p159 :rule chain_m_resolution :premises (@p158 @p156) :args (@t96 @t52 (@list @t92))) % 158.81/159.13 (step @p160 :rule cnf_equiv_pos2 :args (@t99)) % 158.81/159.13 (step @p161 :rule reordering :premises (@p160) :args ((or @t98 (not @t96) (not @t99)))) % 158.81/159.13 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p141) :args (@t98 @t62 (@list @t96 @t99))) % 158.81/159.13 (step @p163 :rule true_intro :premises (@p162)) % 158.81/159.13 (step @p164 :rule instantiate :premises (@p8) :args (@t94)) % 158.81/159.13 (step @p165 :rule instantiate :premises (@p9) :args (@t63)) % 158.81/159.13 (step @p166 :rule trans :premises (@p165 @p164)) % 158.81/159.13 (step @p167 :rule refl :args (tptp.e)) % 158.81/159.13 (step @p168 :rule cong :premises (@p167 @p166) :args (@t88)) % 158.81/159.13 (step @p169 :rule trans :premises (@p168 @p163)) % 158.81/159.13 (step @p170 :rule true_elim :premises (@p169)) % 158.81/159.13 (step @p171 :rule cnf_or_pos :args (@t90)) % 158.81/159.13 (step @p172 :rule reordering :premises (@p171) :args ((or @t89 @t87 (not @t90)))) % 158.81/159.13 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p140) :args (@t87 @t62 (@list @t88 @t90))) % 158.81/159.13 (step @p174 :rule cnf_or_neg :args (@t101 0)) % 158.81/159.13 (step @p175 :rule reordering :premises (@p174) :args ((or @t102 @t101))) % 158.81/159.13 (step @p176 :rule chain_m_resolution :premises (@p175 @p173) :args (@t101 @t52 (@list @t87))) % 158.81/159.13 (step @p177 :rule cnf_equiv_pos2 :args (@t105)) % 158.81/159.13 (step @p178 :rule reordering :premises (@p177) :args ((or @t104 (not @t101) (not @t105)))) % 158.81/159.13 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p76) :args (@t104 @t62 (@list @t101 @t105))) % 158.81/159.13 (step @p180 :rule instantiate :premises (@p8) :args (@t106)) % 158.81/159.13 (step @p181 :rule instantiate :premises (@p9) :args (@t107)) % 158.81/159.13 (assume-push @p815 @t109) % 158.81/159.13 (assume-push @p816 @t110) % 158.81/159.13 (assume-push @p817 @t104) % 158.81/159.13 (assume-push @p818 @t104) % 158.81/159.13 (assume-push @p819 @t110) % 158.81/159.13 (assume-push @p820 @t109) % 158.81/159.13 (step @p188 :rule true_intro :premises (@p817)) % 158.81/159.13 (step @p189 :rule trans :premises (@p181 @p180)) % 158.81/159.13 (step @p190 :rule cong :premises (@p167 @p189) :args (@t111)) % 158.81/159.13 (step @p191 :rule trans :premises (@p190 @p188)) % 158.81/159.13 (step @p192 :rule true_elim :premises (@p191)) % 158.81/159.13 (step-pop @p821 :rule scope :premises (@p192)) % 158.81/159.13 (step-pop @p822 :rule scope :premises (@p821)) % 158.81/159.13 (step-pop @p823 :rule scope :premises (@p822)) % 158.81/159.13 (step @p193 :rule process_scope :premises (@p823) :args (@t111)) % 158.81/159.13 (step @p197 :rule and_intro :premises (@p817 @p180 @p181)) % 158.81/159.13 (step @p198 :rule modus_ponens :premises (@p197 @p193)) % 158.81/159.13 (step-pop @p824 :rule scope :premises (@p198)) % 158.81/159.13 (step-pop @p825 :rule scope :premises (@p824)) % 158.81/159.13 (step-pop @p826 :rule scope :premises (@p825)) % 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@t53)) % 158.81/159.13 (step @p665 :rule eq-symm :args (@t24 @t8)) % 158.81/159.13 (step @p666 :rule cong :premises (@p665) :args (@t25)) % 158.81/159.13 (step @p667 :rule eq_resolve :premises (@p10 @p666)) % 158.81/159.13 (step @p668 :rule instantiate :premises (@p667) :args (@t57)) % 158.81/159.13 (step @p669 :rule instantiate :premises (@p65) :args (@t57)) % 158.81/159.13 (step @p670 :rule instantiate :premises (@p4) :args ((@list @t254))) % 158.81/159.13 (step @p671 :rule bool-double-not-elim :args (@t255)) % 158.81/159.13 (step @p672 :rule refl :args (@t257)) % 158.81/159.13 (step @p673 :rule nary_cong :premises (@p672 @p671) :args ((or @t257 (not @t256)))) % 158.81/159.13 (step @p674 :rule cnf_or_neg :args (@t257 0)) % 158.81/159.13 (step @p675 :rule eq_resolve :premises (@p674 @p673)) % 158.81/159.13 (step @p676 :rule reordering :premises (@p675) :args ((or @t255 @t257))) % 158.81/159.13 (step @p677 :rule chain_m_resolution :premises (@p676 @p670) :args (@t257 @t178 (@list @t255))) % 158.81/159.13 (step @p678 :rule refl :args (@t258)) % 158.81/159.13 (step @p679 :rule bool-double-not-elim :args (@t253)) % 158.81/159.13 (step @p680 :rule nary_cong :premises (@p679 @p678) :args ((or (not @t259) @t258))) % 158.81/159.13 (assume-push @p955 @t259) % 158.81/159.13 (step @p682 :rule skolemize :premises (@p955)) % 158.81/159.13 (step-pop @p956 :rule scope :premises (@p682)) % 158.81/159.13 (step @p683 :rule process_scope :premises (@p956) :args (@t258)) % 158.81/159.13 (step @p685 :rule implies_elim :premises (@p683)) % 158.81/159.13 (step @p686 :rule eq_resolve :premises (@p685 @p680)) % 158.81/159.13 (step @p687 :rule chain_m_resolution :premises (@p686 @p677) :args (@t253 @t52 (@list @t257))) % 158.81/159.13 (step @p688 :rule cnf_equiv_pos2 :args (@t261)) % 158.81/159.13 (step @p689 :rule reordering :premises (@p688) :args ((or @t260 @t259 (not @t261)))) % 158.81/159.13 (step @p690 :rule chain_m_resolution :premises (@p689 @p687 @p669) :args (@t260 @t62 (@list @t253 @t261))) % 158.81/159.13 (step @p691 :rule cnf_equiv_pos1 :args (@t263)) % 158.81/159.13 (step @p692 :rule reordering :premises (@p691) :args ((or @t262 (not @t260) (not @t263)))) % 158.81/159.13 (step @p693 :rule chain_m_resolution :premises (@p692 @p690 @p668) :args (@t262 @t62 (@list @t260 @t263))) % 158.81/159.13 (step @p694 :rule refl :args (@t264)) % 158.81/159.13 (step @p695 :rule refl :args (@t265)) % 158.81/159.13 (step @p696 :rule nary_cong :premises (@p271 @p695 @p694) :args ((or @t146 @t265 @t264))) % 158.81/159.13 (assume-push @p957 @t145) % 158.81/159.13 (assume-push @p958 @t250) % 158.81/159.13 (assume-push @p959 @t262) % 158.81/159.13 (step @p279 :rule evaluate :args (@t147)) % 158.81/159.13 (step @p280 :rule false_intro :premises (@p267)) % 158.81/159.13 (step @p700 :rule symm :premises (@p958)) % 158.81/159.13 (step @p701 :rule cong :premises (@p167 @p700) :args (@t262)) % 158.81/159.13 (step @p702 :rule true_intro :premises (@p959)) % 158.81/159.13 (step @p703 :rule symm :premises (@p702)) % 158.81/159.13 (step @p704 :rule trans :premises (@p703 @p701 @p280)) % 158.81/159.13 (step @p705 false :rule eq_resolve :premises (@p704 @p279)) % 158.81/159.13 (step-pop @p960 :rule scope :premises (@p705)) % 158.81/159.13 (step-pop @p961 :rule scope :premises (@p960)) % 158.81/159.13 (step-pop @p962 :rule scope :premises (@p961)) % 158.81/159.13 (step @p706 :rule process_scope :premises (@p962) :args (false)) % 158.81/159.13 (step @p710 :rule not_and :premises (@p706)) % 158.81/159.13 (step @p711 :rule eq_resolve :premises (@p710 @p696)) % 158.81/159.13 (step @p712 :rule chain_m_resolution :premises (@p711 @p267 @p693) :args (@t265 @t151 (@list @t95 @t262))) % 158.81/159.13 (step @p713 :rule cnf_equiv_pos1 :args (@t252)) % 158.81/159.13 (step @p714 :rule reordering :premises (@p713) :args ((or @t266 @t250 (not @t252)))) % 158.81/159.13 (step @p715 :rule chain_m_resolution :premises (@p714 @p712 @p664) :args (@t266 @t151 (@list @t250 @t252))) % 158.81/159.13 (step @p716 :rule cnf_or_pos :args (@t248)) % 158.81/159.13 (step @p717 :rule reordering :premises (@p716) :args ((or @t246 @t247 (not @t248)))) % 158.81/159.13 (step @p718 :rule chain_m_resolution :premises (@p717 @p715 @p655) :args (@t247 @t151 (@list @t246 @t248))) % 158.81/159.13 (step @p719 :rule instantiate :premises (@p8) :args ((@list @t34 @t34))) % 158.81/159.13 (step @p720 :rule instantiate :premises (@p9) :args ((@list @t34))) % 158.81/159.13 (assume-push @p963 @t268) % 158.81/159.13 (assume-push @p964 @t270) % 158.81/159.13 (assume-push @p965 @t247) % 158.81/159.13 (assume-push @p966 @t247) % 158.81/159.13 (assume-push @p967 @t268) % 158.81/159.13 (assume-push @p968 @t270) % 158.81/159.13 (step @p727 :rule true_intro :premises (@p965)) % 158.81/159.13 (step @p728 :rule symm :premises (@p720)) % 158.81/159.13 (step @p729 :rule symm :premises (@p719)) % 158.81/159.13 (step @p730 :rule trans :premises (@p729 @p728)) % 158.81/159.13 (step @p731 :rule cong :premises (@p167 @p730) :args (@t271)) % 158.81/159.13 (step @p732 :rule trans :premises (@p731 @p727)) % 158.81/159.13 (step @p733 :rule true_elim :premises (@p732)) % 158.81/159.13 (step-pop @p969 :rule scope :premises (@p733)) % 158.81/159.13 (step-pop @p970 :rule scope :premises (@p969)) % 158.81/159.13 (step-pop @p971 :rule scope :premises (@p970)) % 158.81/159.13 (step @p734 :rule process_scope :premises (@p971) :args (@t271)) % 158.81/159.13 (step @p738 :rule and_intro :premises (@p965 @p720 @p719)) % 158.81/159.13 (step @p739 :rule modus_ponens :premises (@p738 @p734)) % 158.81/159.13 (step-pop @p972 :rule scope :premises (@p739)) % 158.81/159.13 (step-pop @p973 :rule scope :premises (@p972)) % 158.81/159.13 (step-pop @p974 :rule scope :premises (@p973)) % 158.81/159.13 (step @p740 :rule process_scope :premises (@p974) :args (@t271)) % 158.81/159.13 (step @p744 :rule implies_elim :premises (@p740)) % 158.81/159.13 (step @p745 :rule cnf_and_neg :args (@t272)) % 158.81/159.13 (step @p746 :rule resolution :premises (@p745 @p744) :args (true @t272)) % 158.81/159.13 (step @p747 :rule chain_m_resolution :premises (@p746 @p720 @p719 @p718) :args (@t271 @t116 (@list @t268 @t270 @t247))) % 158.81/159.13 (step @p748 :rule cnf_equiv_pos1 :args (@t275)) % 158.81/159.13 (step @p749 :rule reordering :premises (@p748) :args ((or @t274 (not @t271) (not @t275)))) % 158.81/159.13 (step @p750 :rule chain_m_resolution :premises (@p749 @p747 @p57) :args (@t274 @t62 (@list @t271 @t275))) % 158.81/159.13 (step @p751 :rule instantiate :premises (@p31) :args (@t161)) % 158.81/159.13 (step @p752 :rule cnf_equiv_pos2 :args (@t276)) % 158.81/159.13 (step @p753 :rule reordering :premises (@p752) :args ((or @t166 @t277 (not @t276)))) % 158.81/159.13 (step @p754 :rule chain_m_resolution :premises (@p753 @p382 @p751) :args (@t277 @t151 (@list @t166 @t276))) % 158.81/159.13 (step @p755 :rule cnf_or_pos :args (@t274)) % 158.81/159.13 (step @p756 :rule reordering :premises (@p755) :args ((or @t273 @t55 (not @t274)))) % 158.81/159.13 (step @p757 :rule chain_m_resolution :premises (@p756 @p754 @p750) :args (@t55 @t151 (@list @t273 @t274))) % 158.81/159.13 (step @p758 :rule cnf_equiv_pos1 :args (@t58)) % 158.81/159.13 (step @p759 :rule reordering :premises (@p758) :args ((or (not @t55) @t54 (not @t58)))) % 158.81/159.13 (step @p760 :rule chain_m_resolution :premises (@p759 @p757 @p56) :args (@t54 @t62 (@list @t55 @t58))) % 158.81/159.13 (step @p761 :rule refl :args (@t278)) % 158.81/159.13 (step @p762 :rule refl :args (@t279)) % 158.81/159.13 (step @p763 :rule bool-double-not-elim :args (@t280)) % 158.81/159.13 (step @p764 :rule nary_cong :premises (@p763 @p762 @p761) :args ((or (not @t281) @t279 @t278))) % 158.81/159.13 (assume-push @p975 @t281) % 158.81/159.13 (assume-push @p976 @t54) % 158.81/159.13 (assume-push @p977 @t48) % 158.81/159.13 (step @p279 :rule evaluate :args (@t147)) % 158.81/159.13 (step @p768 :rule false_intro :premises (@p28)) % 158.81/159.13 (step @p769 :rule symm :premises (@p976)) % 158.81/159.13 (step @p770 :rule refl :args (@t28)) % 158.81/159.13 (step @p771 :rule cong :premises (@p770 @p769) :args (@t48)) % 158.81/159.13 (step @p772 :rule true_intro :premises (@p47)) % 158.81/159.13 (step @p773 :rule symm :premises (@p772)) % 158.81/159.13 (step @p774 :rule trans :premises (@p773 @p771 @p768)) % 158.81/159.13 (step @p775 false :rule eq_resolve :premises (@p774 @p279)) % 158.81/159.13 (step-pop @p978 :rule scope :premises (@p775)) % 158.81/159.13 (step-pop @p979 :rule scope :premises (@p978)) % 158.81/159.13 (step-pop @p980 :rule scope :premises (@p979)) % 158.81/159.13 (step @p776 :rule process_scope :premises (@p980) :args (false)) % 158.81/159.13 (assume-push @p981 @t281) % 158.81/159.13 (assume-push @p982 @t48) % 158.81/159.13 (assume-push @p983 @t54) % 158.81/159.13 (step @p783 :rule and_intro :premises (@p28 @p983 @p47)) % 158.81/159.13 (step-pop @p984 :rule scope :premises (@p783)) % 158.81/159.13 (step-pop @p985 :rule scope :premises (@p984)) % 158.81/159.13 (step-pop @p986 :rule scope :premises (@p985)) % 158.81/159.13 (step @p784 :rule process_scope :premises (@p986) :args (@t282)) % 158.81/159.13 (step @p788 :rule implies_elim :premises (@p784)) % 158.81/159.13 (step @p789 :rule resolution :premises (@p788 @p776) :args (true @t282)) % 158.81/159.13 (step @p790 :rule not_and :premises (@p789)) % 158.81/159.13 (step @p791 :rule eq_resolve :premises (@p790 @p764)) % 158.81/159.13 (step @p792 false :rule chain_m_resolution :premises (@p791 @p760 @p47 @p28) :args (false @t231 (@list @t54 @t48 @t280))) % 158.81/159.13 ) % 158.81/159.13 % SZS output end Proof % 158.81/159.13 % cvc5 exiting %------------------------------------------------------------------------------