%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV576+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 : n009.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 08:56:09 AM UTC 2026 % Result : Theorem 64.82s 65.62s % Output : Proof 64.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV576+1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:39:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 64.82/65.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.82/65.62 --- Run --no-e-matching --full-saturate-quant at 6... % 64.82/65.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.82/65.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.82/65.62 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.82/65.62 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.82/65.62 % SZS status Theorem % 64.82/65.62 % SZS output start Proof % 64.82/65.62 ( % 64.82/65.62 (declare-sort $$unsorted 0) % 64.82/65.62 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 64.82/65.62 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.e $$unsorted) % 64.82/65.62 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 64.82/65.62 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 64.82/65.62 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 64.82/65.62 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 64.82/65.62 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 64.82/65.62 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 64.82/65.62 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 64.82/65.62 (define @t1 () (@var "Y" $$unsorted)) % 64.82/65.62 (define @t2 () (@var "Z" $$unsorted)) % 64.82/65.62 (define @t3 () (tptp.mem @t2 @t1)) % 64.82/65.62 (define @t4 () (@var "X" $$unsorted)) % 64.82/65.62 (define @t5 () (tptp.mem @t2 @t4)) % 64.82/65.62 (define @t6 () (@list @t2)) % 64.82/65.62 (define @t7 () (forall @t6 (=> @t5 @t3))) % 64.82/65.62 (define @t8 () (tptp.subq @t4 @t1)) % 64.82/65.62 (define @t9 () (= @t8 @t7)) % 64.82/65.62 (define @t10 () (@list @t4 @t1)) % 64.82/65.62 (define @t11 () (forall @t10 @t9)) % 64.82/65.62 (define @t12 () (= @t4 @t1)) % 64.82/65.62 (define @t13 () (tptp.subq @t1 @t4)) % 64.82/65.62 (define @t14 () (=> @t13 @t12)) % 64.82/65.62 (define @t15 () (forall @t10 (=> @t8 @t14))) % 64.82/65.62 (define @t16 () (@list @t4)) % 64.82/65.62 (define @t17 () (tptp.s @t1)) % 64.82/65.62 (define @t18 () (tptp.mem @t4 @t17)) % 64.82/65.62 (define @t19 () (forall @t10 (= @t18 @t12))) % 64.82/65.62 (define @t20 () (tptp.mem @t4 @t2)) % 64.82/65.62 (define @t21 () (tptp.mem @t4 @t1)) % 64.82/65.62 (define @t22 () (@list @t4 @t1 @t2)) % 64.82/65.62 (define @t23 () (forall @t22 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t21 @t20)))) % 64.82/65.62 (define @t24 () (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t17)))) % 64.82/65.62 (define @t25 () (tptp.p @t1)) % 64.82/65.62 (define @t26 () (tptp.mem @t4 @t25)) % 64.82/65.62 (define @t27 () (forall @t10 (= @t26 @t8))) % 64.82/65.62 (define @t28 () (@list @t1)) % 64.82/65.62 (define @t29 () (not @t8)) % 64.82/65.62 (define @t30 () (tptp.n tptp.e)) % 64.82/65.62 (define @t31 () (tptp.n @t30)) % 64.82/65.62 (define @t32 () (tptp.s @t31)) % 64.82/65.62 (define @t33 () (tptp.s @t30)) % 64.82/65.62 (define @t34 () (tptp.n @t33)) % 64.82/65.62 (define @t35 () (tptp.p @t34)) % 64.82/65.62 (define @t36 () (tptp.a @t35 @t32)) % 64.82/65.62 (define @t37 () (tptp.a @t34 @t31)) % 64.82/65.62 (define @t38 () (tptp.p @t37)) % 64.82/65.62 (define @t39 () (tptp.m @t38 @t36)) % 64.82/65.62 (define @t40 () (tptp.n @t31)) % 64.82/65.62 (define @t41 () (tptp.p @t32)) % 64.82/65.62 (define @t42 () (tptp.a @t41 @t40)) % 64.82/65.62 (define @t43 () (tptp.s (tptp.p @t33))) % 64.82/65.62 (define @t44 () (tptp.a @t43 @t34)) % 64.82/65.62 (define @t45 () (tptp.u @t44 @t42)) % 64.82/65.62 (define @t46 () (tptp.u @t45 @t39)) % 64.82/65.62 (define @t47 () (tptp.a @t44 @t37)) % 64.82/65.62 (define @t48 () (tptp.s @t33)) % 64.82/65.62 (define @t49 () (tptp.a @t48 @t31)) % 64.82/65.62 (define @t50 () (tptp.a @t42 @t49)) % 64.82/65.62 (define @t51 () (tptp.u @t50 @t47)) % 64.82/65.62 (define @t52 () (tptp.subq @t51 @t46)) % 64.82/65.62 (define @t53 () (tptp.s @t37)) % 64.82/65.62 (define @t54 () (forall @t6 (or (not (tptp.mem @t2 @t51)) (tptp.mem @t2 @t46)))) % 64.82/65.62 (define @t55 () (@quantifiers_skolemize @t54 0)) % 64.82/65.62 (define @t56 () (tptp.mem @t55 @t53)) % 64.82/65.62 (define @t57 () (= (= @t55 @t37) @t56)) % 64.82/65.62 (define @t58 () (forall @t10 (= @t12 @t18))) % 64.82/65.62 (define @t59 () (@list @t55 @t37)) % 64.82/65.62 (define @t60 () (= @t37 @t55)) % 64.82/65.62 (define @t61 () (= @t60 @t56)) % 64.82/65.62 (define @t62 () (@list false)) % 64.82/65.62 (define @t63 () (@list @t58)) % 64.82/65.62 (define @t64 () (= @t52 @t54)) % 64.82/65.62 (define @t65 () (not @t54)) % 64.82/65.62 (define @t66 () (@list true false)) % 64.82/65.62 (define @t67 () (tptp.mem @t55 @t51)) % 64.82/65.62 (define @t68 () (tptp.mem @t55 @t46)) % 64.82/65.62 (define @t69 () (not @t67)) % 64.82/65.62 (define @t70 () (or @t69 @t68)) % 64.82/65.62 (define @t71 () (@list true)) % 64.82/65.62 (define @t72 () (@list @t70)) % 64.82/65.62 (define @t73 () (tptp.mem @t55 @t47)) % 64.82/65.62 (define @t74 () (tptp.mem @t55 @t50)) % 64.82/65.62 (define @t75 () (or @t74 @t73)) % 64.82/65.62 (define @t76 () (= @t67 @t75)) % 64.82/65.62 (define @t77 () (@list false false)) % 64.82/65.62 (define @t78 () (tptp.s @t49)) % 64.82/65.62 (define @t79 () (tptp.mem @t55 @t78)) % 64.82/65.62 (define @t80 () (= @t55 @t49)) % 64.82/65.62 (define @t81 () (= @t80 @t79)) % 64.82/65.62 (define @t82 () (= @t49 @t55)) % 64.82/65.62 (define @t83 () (= @t79 @t82)) % 64.82/65.62 (define @t84 () (tptp.mem @t2 @t55)) % 64.82/65.62 (define @t85 () (not @t84)) % 64.82/65.62 (define @t86 () (forall @t6 (or @t85 (tptp.mem @t2 @t37)))) % 64.82/65.62 (define @t87 () (@quantifiers_skolemize @t86 0)) % 64.82/65.62 (define @t88 () (tptp.mem @t87 @t55)) % 64.82/65.62 (define @t89 () (tptp.mem @t87 @t37)) % 64.82/65.62 (define @t90 () (not @t88)) % 64.82/65.62 (define @t91 () (or @t90 @t89)) % 64.82/65.62 (define @t92 () (tptp.u @t48 @t32)) % 64.82/65.62 (define @t93 () (= @t49 @t92)) % 64.82/65.62 (define @t94 () (tptp.mem @t87 @t92)) % 64.82/65.62 (define @t95 () (and @t93 @t82 @t88)) % 64.82/65.62 (define @t96 () (tptp.u @t34 @t32)) % 64.82/65.62 (define @t97 () (tptp.mem @t87 @t96)) % 64.82/65.62 (define @t98 () (not @t97)) % 64.82/65.62 (define @t99 () (= @t37 @t96)) % 64.82/65.62 (define @t100 () (not @t99)) % 64.82/65.62 (define @t101 () (not @t89)) % 64.82/65.62 (define @t102 () (and @t99 @t101)) % 64.82/65.62 (define @t103 () (tptp.mem @t87 @t32)) % 64.82/65.62 (define @t104 () (tptp.mem @t87 @t48)) % 64.82/65.62 (define @t105 () (or @t104 @t103)) % 64.82/65.62 (define @t106 () (= @t94 @t105)) % 64.82/65.62 (define @t107 () (tptp.mem @t87 @t34)) % 64.82/65.62 (define @t108 () (or @t107 @t103)) % 64.82/65.62 (define @t109 () (= @t97 @t108)) % 64.82/65.62 (define @t110 () (or (tptp.mem @t87 @t33) @t104)) % 64.82/65.62 (define @t111 () (tptp.u @t33 @t48)) % 64.82/65.62 (define @t112 () (tptp.mem @t87 @t111)) % 64.82/65.62 (define @t113 () (= @t112 @t110)) % 64.82/65.62 (define @t114 () (not @t112)) % 64.82/65.62 (define @t115 () (tptp.a @t33 @t33)) % 64.82/65.62 (define @t116 () (= @t115 @t111)) % 64.82/65.62 (define @t117 () (not @t116)) % 64.82/65.62 (define @t118 () (= @t34 @t115)) % 64.82/65.62 (define @t119 () (not @t118)) % 64.82/65.62 (define @t120 () (not @t107)) % 64.82/65.62 (define @t121 () (and @t118 @t116 @t120)) % 64.82/65.62 (define @t122 () (not @t82)) % 64.82/65.62 (define @t123 () (forall @t10 (= @t8 (forall @t6 (or (not @t5) @t3))))) % 64.82/65.62 (define @t124 () (@list @t55 @t32)) % 64.82/65.62 (define @t125 () (forall @t6 (or @t85 (tptp.mem @t2 @t32)))) % 64.82/65.62 (define @t126 () (tptp.subq @t55 @t32)) % 64.82/65.62 (define @t127 () (= @t126 @t125)) % 64.82/65.62 (define @t128 () (tptp.mem @t55 @t41)) % 64.82/65.62 (define @t129 () (forall @t10 (= @t8 @t26))) % 64.82/65.62 (define @t130 () (= @t126 @t128)) % 64.82/65.62 (define @t131 () (@list @t55 @t44 @t42)) % 64.82/65.62 (define @t132 () (tptp.mem @t55 @t42)) % 64.82/65.62 (define @t133 () (tptp.mem @t55 @t44)) % 64.82/65.62 (define @t134 () (or @t133 @t132)) % 64.82/65.62 (define @t135 () (tptp.mem @t55 @t45)) % 64.82/65.62 (define @t136 () (= @t135 @t134)) % 64.82/65.62 (define @t137 () (@list @t55 @t45 @t39)) % 64.82/65.62 (define @t138 () (tptp.mem @t55 @t39)) % 64.82/65.62 (define @t139 () (or @t135 @t138)) % 64.82/65.62 (define @t140 () (= @t68 @t139)) % 64.82/65.62 (define @t141 () (not @t70)) % 64.82/65.62 (define @t142 () (not @t139)) % 64.82/65.62 (define @t143 () (not @t134)) % 64.82/65.62 (define @t144 () (@list @t41 @t40)) % 64.82/65.62 (define @t145 () (tptp.s @t40)) % 64.82/65.62 (define @t146 () (tptp.u @t41 @t145)) % 64.82/65.62 (define @t147 () (= @t42 @t146)) % 64.82/65.62 (define @t148 () (tptp.mem @t55 @t146)) % 64.82/65.62 (define @t149 () (not @t148)) % 64.82/65.62 (define @t150 () (not @t147)) % 64.82/65.62 (define @t151 () (not @t132)) % 64.82/65.62 (define @t152 () (not @t68)) % 64.82/65.62 (define @t153 () (@list @t68 @t140)) % 64.82/65.62 (define @t154 () (not @t135)) % 64.82/65.62 (define @t155 () (@list @t139)) % 64.82/65.62 (define @t156 () (@list @t135 @t136)) % 64.82/65.62 (define @t157 () (@list @t134)) % 64.82/65.62 (define @t158 () (and @t147 @t151)) % 64.82/65.62 (define @t159 () (@list @t55 @t41 @t145)) % 64.82/65.62 (define @t160 () (or @t128 (tptp.mem @t55 @t145))) % 64.82/65.62 (define @t161 () (= @t148 @t160)) % 64.82/65.62 (define @t162 () (not @t160)) % 64.82/65.62 (define @t163 () (= @t128 @t126)) % 64.82/65.62 (define @t164 () (not @t126)) % 64.82/65.62 (define @t165 () (not @t125)) % 64.82/65.62 (define @t166 () (@quantifiers_skolemize @t125 0)) % 64.82/65.62 (define @t167 () (tptp.mem @t166 @t32)) % 64.82/65.62 (define @t168 () (tptp.mem @t166 @t55)) % 64.82/65.62 (define @t169 () (not @t168)) % 64.82/65.62 (define @t170 () (or @t169 @t167)) % 64.82/65.62 (define @t171 () (not @t170)) % 64.82/65.62 (define @t172 () (tptp.mem @t166 @t92)) % 64.82/65.62 (define @t173 () (and @t93 @t82 @t168)) % 64.82/65.62 (define @t174 () (tptp.mem @t166 @t48)) % 64.82/65.62 (define @t175 () (or @t174 @t167)) % 64.82/65.62 (define @t176 () (= @t172 @t175)) % 64.82/65.62 (define @t177 () (= @t166 @t33)) % 64.82/65.62 (define @t178 () (= @t177 @t174)) % 64.82/65.62 (define @t179 () (= @t33 @t166)) % 64.82/65.62 (define @t180 () (= @t174 @t179)) % 64.82/65.62 (define @t181 () (= @t166 @t31)) % 64.82/65.62 (define @t182 () (= @t181 @t167)) % 64.82/65.62 (define @t183 () (= @t31 @t166)) % 64.82/65.62 (define @t184 () (= @t167 @t183)) % 64.82/65.62 (define @t185 () (not @t183)) % 64.82/65.62 (define @t186 () (= @t31 @t33)) % 64.82/65.62 (define @t187 () (not @t186)) % 64.82/65.62 (define @t188 () (not @t179)) % 64.82/65.62 (define @t189 () (and @t185 @t179)) % 64.82/65.62 (define @t190 () (tptp.mem @t31 @t48)) % 64.82/65.62 (define @t191 () (= @t186 @t190)) % 64.82/65.62 (define @t192 () (= @t190 @t186)) % 64.82/65.62 (define @t193 () (tptp.mem @t31 @t32)) % 64.82/65.62 (define @t194 () (= @t31 @t31)) % 64.82/65.62 (define @t195 () (= @t194 @t193)) % 64.82/65.62 (define @t196 () (or @t190 @t193)) % 64.82/65.62 (define @t197 () (tptp.mem @t31 @t92)) % 64.82/65.62 (define @t198 () (= @t197 @t196)) % 64.82/65.62 (define @t199 () (tptp.mem @t31 @t55)) % 64.82/65.62 (define @t200 () (and @t93 @t82 @t197)) % 64.82/65.62 (define @t201 () (not @t93)) % 64.82/65.62 (define @t202 () (@list @t55 @t34)) % 64.82/65.62 (define @t203 () (tptp.mem @t2 @t34)) % 64.82/65.62 (define @t204 () (forall @t6 (or @t85 @t203))) % 64.82/65.62 (define @t205 () (tptp.subq @t55 @t34)) % 64.82/65.62 (define @t206 () (= @t205 @t204)) % 64.82/65.62 (define @t207 () (not @t205)) % 64.82/65.62 (define @t208 () (tptp.s @t34)) % 64.82/65.62 (define @t209 () (tptp.mem @t55 @t208)) % 64.82/65.62 (define @t210 () (= @t55 @t34)) % 64.82/65.62 (define @t211 () (= @t210 @t209)) % 64.82/65.62 (define @t212 () (= @t34 @t55)) % 64.82/65.62 (define @t213 () (= @t209 @t212)) % 64.82/65.62 (define @t214 () (tptp.mem @t55 (tptp.u @t43 @t208))) % 64.82/65.62 (define @t215 () (or (tptp.mem @t55 @t43) @t209)) % 64.82/65.62 (define @t216 () (= @t214 @t215)) % 64.82/65.62 (define @t217 () (not @t215)) % 64.82/65.62 (define @t218 () (not @t212)) % 64.82/65.62 (define @t219 () (not @t13)) % 64.82/65.62 (define @t220 () (or @t29 @t219 @t12)) % 64.82/65.62 (define @t221 () (tptp.subq @t34 @t55)) % 64.82/65.62 (define @t222 () (not @t221)) % 64.82/65.62 (define @t223 () (or @t207 @t222 @t210)) % 64.82/65.62 (define @t224 () (forall @t10 @t220)) % 64.82/65.62 (define @t225 () (or @t207 @t222 @t212)) % 64.82/65.62 (define @t226 () (tptp.mem @t31 @t34)) % 64.82/65.62 (define @t227 () (not @t199)) % 64.82/65.62 (define @t228 () (or @t227 @t226)) % 64.82/65.62 (define @t229 () (forall @t6 (or (not @t203) @t84))) % 64.82/65.62 (define @t230 () (= @t221 @t229)) % 64.82/65.62 (define @t231 () (not @t229)) % 64.82/65.62 (define @t232 () (@quantifiers_skolemize @t229 0)) % 64.82/65.62 (define @t233 () (tptp.mem @t232 @t55)) % 64.82/65.62 (define @t234 () (tptp.mem @t232 @t34)) % 64.82/65.62 (define @t235 () (not @t234)) % 64.82/65.62 (define @t236 () (or @t235 @t233)) % 64.82/65.62 (define @t237 () (not @t236)) % 64.82/65.62 (define @t238 () (tptp.mem @t31 @t111)) % 64.82/65.62 (define @t239 () (and @t118 @t116 @t226)) % 64.82/65.62 (define @t240 () (tptp.mem @t232 @t111)) % 64.82/65.62 (define @t241 () (and @t118 @t116 @t234)) % 64.82/65.62 (define @t242 () (tptp.mem @t232 @t92)) % 64.82/65.62 (define @t243 () (not @t242)) % 64.82/65.62 (define @t244 () (not @t233)) % 64.82/65.62 (define @t245 () (not @t244)) % 64.82/65.62 (define @t246 () (and @t93 @t82 @t244)) % 64.82/65.62 (define @t247 () (tptp.mem @t31 @t33)) % 64.82/65.62 (define @t248 () (or @t247 @t190)) % 64.82/65.62 (define @t249 () (= @t238 @t248)) % 64.82/65.62 (define @t250 () (tptp.mem @t232 @t48)) % 64.82/65.62 (define @t251 () (tptp.mem @t232 @t33)) % 64.82/65.62 (define @t252 () (or @t251 @t250)) % 64.82/65.62 (define @t253 () (= @t240 @t252)) % 64.82/65.62 (define @t254 () (tptp.mem @t232 @t32)) % 64.82/65.62 (define @t255 () (or @t250 @t254)) % 64.82/65.62 (define @t256 () (= @t242 @t255)) % 64.82/65.62 (define @t257 () (= @t31 @t30)) % 64.82/65.62 (define @t258 () (= @t257 @t247)) % 64.82/65.62 (define @t259 () (= @t30 @t31)) % 64.82/65.62 (define @t260 () (= @t247 @t259)) % 64.82/65.62 (define @t261 () (not @t251)) % 64.82/65.62 (define @t262 () (not @t259)) % 64.82/65.62 (define @t263 () (not @t254)) % 64.82/65.62 (define @t264 () (and @t263 @t259)) % 64.82/65.62 (define @t265 () (not @t91)) % 64.82/65.62 (define @t266 () (not @t86)) % 64.82/65.62 (define @t267 () (tptp.mem @t55 @t35)) % 64.82/65.62 (define @t268 () (= @t205 @t267)) % 64.82/65.62 (define @t269 () (= @t267 @t205)) % 64.82/65.62 (define @t270 () (@list @t129)) % 64.82/65.62 (define @t271 () (tptp.subq @t55 @t37)) % 64.82/65.62 (define @t272 () (= @t271 @t86)) % 64.82/65.62 (define @t273 () (tptp.mem @t55 @t38)) % 64.82/65.62 (define @t274 () (= @t271 @t273)) % 64.82/65.62 (define @t275 () (= @t273 @t271)) % 64.82/65.62 (define @t276 () (tptp.mem @t55 @t36)) % 64.82/65.62 (define @t277 () (not @t276)) % 64.82/65.62 (define @t278 () (and @t273 @t277)) % 64.82/65.62 (define @t279 () (= @t138 @t278)) % 64.82/65.62 (define @t280 () (not @t278)) % 64.82/65.62 (define @t281 () (not @t273)) % 64.82/65.62 (define @t282 () (tptp.s @t32)) % 64.82/65.62 (define @t283 () (tptp.u @t35 @t282)) % 64.82/65.62 (define @t284 () (= @t36 @t283)) % 64.82/65.62 (define @t285 () (tptp.mem @t55 @t283)) % 64.82/65.62 (define @t286 () (and @t284 @t276)) % 64.82/65.62 (define @t287 () (tptp.mem @t55 @t282)) % 64.82/65.62 (define @t288 () (or @t267 @t287)) % 64.82/65.62 (define @t289 () (= @t285 @t288)) % 64.82/65.62 (define @t290 () (= @t55 @t32)) % 64.82/65.62 (define @t291 () (= @t290 @t287)) % 64.82/65.62 (define @t292 () (= @t32 @t55)) % 64.82/65.62 (define @t293 () (= @t287 @t292)) % 64.82/65.62 (define @t294 () (not @t287)) % 64.82/65.62 (define @t295 () (@list @t170)) % 64.82/65.62 (define @t296 () (not @t167)) % 64.82/65.62 (define @t297 () (not @t292)) % 64.82/65.62 (define @t298 () (not @t296)) % 64.82/65.62 (define @t299 () (= false true)) % 64.82/65.62 (define @t300 () (and @t168 @t82 @t93 @t292 @t296)) % 64.82/65.62 (define @t301 () (not @t79)) % 64.82/65.62 (define @t302 () (or @t132 @t79)) % 64.82/65.62 (define @t303 () (not @t302)) % 64.82/65.62 (define @t304 () (tptp.u @t42 @t78)) % 64.82/65.62 (define @t305 () (tptp.mem @t55 @t304)) % 64.82/65.62 (define @t306 () (= @t305 @t302)) % 64.82/65.62 (define @t307 () (not @t305)) % 64.82/65.62 (define @t308 () (= @t50 @t304)) % 64.82/65.62 (define @t309 () (and @t308 @t74)) % 64.82/65.62 (define @t310 () (tptp.u @t44 @t53)) % 64.82/65.62 (define @t311 () (= @t47 @t310)) % 64.82/65.62 (define @t312 () (tptp.mem @t55 @t310)) % 64.82/65.62 (define @t313 () (and @t311 @t73)) % 64.82/65.62 (define @t314 () (or @t133 @t56)) % 64.82/65.62 (define @t315 () (= @t312 @t314)) % 64.82/65.62 (define @t316 () (and @t99 @t88 @t60)) % 64.82/65.62 (define @t317 () (not @t60)) % 64.82/65.62 (define @t318 () (and @t296 @t292 @t168)) % 64.82/65.62 (define @t319 () (@list @t236)) % 64.82/65.62 (define @t320 () (or @t234 @t254)) % 64.82/65.62 (define @t321 () (tptp.mem @t232 @t96)) % 64.82/65.62 (define @t322 () (= @t321 @t320)) % 64.82/65.62 (define @t323 () (not @t321)) % 64.82/65.62 (define @t324 () (and @t321 @t99 @t60 @t244)) % 64.82/65.62 (assume @p1 @t11) % 64.82/65.62 (assume @p2 @t15) % 64.82/65.62 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 64.82/65.62 (assume @p4 (forall @t16 (not (tptp.mem @t4 tptp.e)))) % 64.82/65.62 (assume @p5 @t19) % 64.82/65.62 (assume @p6 @t23) % 64.82/65.62 (assume @p7 (forall @t22 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t21 (not @t20))))) % 64.82/65.62 (assume @p8 @t24) % 64.82/65.62 (assume @p9 (forall @t16 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 64.82/65.62 (assume @p10 @t27) % 64.82/65.62 (assume @p11 (forall @t16 (= (tptp.atleast2p @t4) (exists @t28 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t25))))))) % 64.82/65.62 (assume @p12 (forall @t16 (= (tptp.atleast3p @t4) (exists @t28 (and @t13 (tptp.atleast2p @t1) @t29))))) % 64.82/65.62 (assume @p13 (forall @t16 (= (tptp.atleast4p @t4) (exists @t28 (and @t13 (tptp.atleast3p @t1) @t29))))) % 64.82/65.62 (assume @p14 (forall @t16 (= (tptp.atleast5p @t4) (exists @t28 (and @t13 (tptp.atleast4p @t1) @t29))))) % 64.82/65.62 (assume @p15 (forall @t16 (= (tptp.atleast6p @t4) (exists @t28 (and @t13 (tptp.atleast5p @t1) @t29))))) % 64.82/65.62 (assume @p16 (forall @t16 (= (tptp.atleast7p @t4) (exists @t28 (and @t13 (tptp.atleast6p @t1) @t29))))) % 64.82/65.63 (assume @p17 (forall @t16 (= (tptp.atleast8p @t4) (exists @t28 (and @t13 (tptp.atleast7p @t1) @t29))))) % 64.82/65.63 (assume @p18 (forall @t16 (= (tptp.atleast9p @t4) (exists @t28 (and @t13 (tptp.atleast8p @t1) @t29))))) % 64.82/65.63 (assume @p19 (forall @t16 (= (tptp.atleast10p @t4) (exists @t28 (and @t13 (tptp.atleast9p @t1) @t29))))) % 64.82/65.63 (assume @p20 (forall @t16 (= (tptp.atleast11p @t4) (exists @t28 (and @t13 (tptp.atleast10p @t1) @t29))))) % 64.82/65.63 (assume @p21 (forall @t16 (= (tptp.atleast12p @t4) (exists @t28 (and @t13 (tptp.atleast11p @t1) @t29))))) % 64.82/65.63 (assume @p22 (forall @t16 (= (tptp.atleast13p @t4) (exists @t28 (and @t13 (tptp.atleast12p @t1) @t29))))) % 64.82/65.63 (assume @p23 (forall @t16 (= (tptp.atleast14p @t4) (exists @t28 (and @t13 (tptp.atleast13p @t1) @t29))))) % 64.82/65.63 (assume @p24 (forall @t16 (= (tptp.atleast15p @t4) (exists @t28 (and @t13 (tptp.atleast14p @t1) @t29))))) % 64.82/65.63 (assume @p25 (forall @t16 (= (tptp.atleast16p @t4) (exists @t28 (and @t13 (tptp.atleast15p @t1) @t29))))) % 64.82/65.63 (assume @p26 (not @t52)) % 64.82/65.63 (assume @p27 true) % 64.82/65.63 (step @p28 :rule instantiate :premises (@p8) :args ((@list @t34 @t31))) % 64.82/65.63 (step @p29 :rule eq-symm :args (@t18 @t12)) % 64.82/65.63 (step @p30 :rule cong :premises (@p29) :args (@t19)) % 64.82/65.63 (step @p31 :rule eq_resolve :premises (@p5 @p30)) % 64.82/65.63 (step @p32 :rule refl :args (@t56)) % 64.82/65.63 (step @p33 :rule eq-symm :args (@t55 @t37)) % 64.82/65.63 (step @p34 :rule cong :premises (@p33 @p32) :args (@t57)) % 64.82/65.63 (step @p35 :rule refl :args (@t58)) % 64.82/65.63 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t58 @t57))) % 64.82/65.63 (assume-push @p984 @t58) % 64.82/65.63 (step @p38 :rule instantiate :premises (@p31) :args (@t59)) % 64.82/65.63 (step-pop @p985 :rule scope :premises (@p38)) % 64.82/65.63 (step @p39 :rule process_scope :premises (@p985) :args (@t57)) % 64.82/65.63 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 64.82/65.63 (step @p42 :rule implies_elim :premises (@p41)) % 64.82/65.63 (step @p43 :rule chain_m_resolution :premises (@p42 @p31) :args (@t61 @t62 @t63)) % 64.82/65.63 (step @p44 :rule instantiate :premises (@p6) :args ((@list @t55 @t44 @t53))) % 64.82/65.63 (step @p45 :rule instantiate :premises (@p6) :args ((@list @t55 @t50 @t47))) % 64.82/65.63 (step @p46 :rule bool-impl-elim :args (@t5 @t3)) % 64.82/65.63 (step @p47 :rule cong :premises (@p46) :args (@t7)) % 64.82/65.63 (step @p48 :rule refl :args (@t8)) % 64.82/65.63 (step @p49 :rule cong :premises (@p48 @p47) :args (@t9)) % 64.82/65.63 (step @p50 :rule cong :premises (@p49) :args (@t11)) % 64.82/65.63 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 64.82/65.63 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t51 @t46))) % 64.82/65.63 (step @p53 :rule cnf_equiv_pos2 :args (@t64)) % 64.82/65.63 (step @p54 :rule reordering :premises (@p53) :args ((or @t52 @t65 (not @t64)))) % 64.82/65.63 (step @p55 :rule chain_m_resolution :premises (@p54 @p26 @p52) :args (@t65 @t66 (@list @t52 @t64))) % 64.82/65.63 (step @p56 :rule skolemize :premises (@p55)) % 64.82/65.63 (step @p57 :rule bool-double-not-elim :args (@t67)) % 64.82/65.63 (step @p58 :rule refl :args (@t70)) % 64.82/65.63 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t70 (not @t69)))) % 64.82/65.63 (step @p60 :rule cnf_or_neg :args (@t70 0)) % 64.82/65.63 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 64.82/65.63 (step @p62 :rule reordering :premises (@p61) :args ((or @t67 @t70))) % 64.82/65.63 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t67 @t71 @t72)) % 64.82/65.63 (step @p64 :rule cnf_equiv_pos1 :args (@t76)) % 64.82/65.63 (step @p65 :rule reordering :premises (@p64) :args ((or @t69 @t75 (not @t76)))) % 64.82/65.63 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p45) :args (@t75 @t77 (@list @t67 @t76))) % 64.82/65.63 (step @p67 :rule instantiate :premises (@p8) :args ((@list @t42 @t49))) % 64.82/65.63 (step @p68 :rule instantiate :premises (@p6) :args ((@list @t55 @t42 @t78))) % 64.82/65.63 (step @p69 :rule eq-symm :args (@t55 @t49)) % 64.82/65.63 (step @p70 :rule refl :args (@t79)) % 64.82/65.63 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t79 @t80))) % 64.82/65.63 (step @p72 :rule eq-symm :args (@t80 @t79)) % 64.82/65.63 (step @p73 :rule trans :premises (@p72 @p71)) % 64.82/65.63 (step @p74 :rule cong :premises (@p35 @p73) :args ((=> @t58 @t81))) % 64.82/65.63 (assume-push @p986 @t58) % 64.82/65.63 (step @p76 :rule instantiate :premises (@p31) :args ((@list @t55 @t49))) % 64.82/65.63 (step-pop @p987 :rule scope :premises (@p76)) % 64.82/65.63 (step @p77 :rule process_scope :premises (@p987) :args (@t81)) % 64.82/65.63 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 64.82/65.63 (step @p80 :rule implies_elim :premises (@p79)) % 64.82/65.63 (step @p81 :rule chain_m_resolution :premises (@p80 @p31) :args (@t83 @t62 @t63)) % 64.82/65.63 (step @p82 :rule bool-double-not-elim :args (@t88)) % 64.82/65.63 (step @p83 :rule refl :args (@t91)) % 64.82/65.63 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t91 (not @t90)))) % 64.82/65.63 (step @p85 :rule cnf_or_neg :args (@t91 0)) % 64.82/65.63 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 64.82/65.63 (step @p87 :rule reordering :premises (@p86) :args ((or @t88 @t91))) % 64.82/65.63 (step @p88 :rule cnf_or_neg :args (@t91 1)) % 64.82/65.63 (step @p89 :rule instantiate :premises (@p8) :args ((@list @t48 @t31))) % 64.82/65.63 (assume-push @p988 @t93) % 64.82/65.63 (assume-push @p989 @t82) % 64.82/65.63 (assume-push @p990 @t88) % 64.82/65.63 (assume-push @p991 @t88) % 64.82/65.63 (assume-push @p992 @t82) % 64.82/65.63 (assume-push @p993 @t93) % 64.82/65.63 (step @p96 :rule true_intro :premises (@p990)) % 64.82/65.63 (step @p97 :rule symm :premises (@p89)) % 64.82/65.63 (step @p98 :rule trans :premises (@p97 @p989)) % 64.82/65.63 (step @p99 :rule refl :args (@t87)) % 64.82/65.63 (step @p100 :rule cong :premises (@p99 @p98) :args (@t94)) % 64.82/65.63 (step @p101 :rule trans :premises (@p100 @p96)) % 64.82/65.63 (step @p102 :rule true_elim :premises (@p101)) % 64.82/65.63 (step-pop @p994 :rule scope :premises (@p102)) % 64.82/65.63 (step-pop @p995 :rule scope :premises (@p994)) % 64.82/65.63 (step-pop @p996 :rule scope :premises (@p995)) % 64.82/65.63 (step @p103 :rule process_scope :premises (@p996) :args (@t94)) % 64.82/65.63 (step @p107 :rule and_intro :premises (@p990 @p989 @p89)) % 64.82/65.63 (step @p108 :rule modus_ponens :premises (@p107 @p103)) % 64.82/65.63 (step-pop @p997 :rule scope :premises (@p108)) % 64.82/65.63 (step-pop @p998 :rule scope :premises (@p997)) % 64.82/65.63 (step-pop @p999 :rule scope :premises (@p998)) % 64.82/65.63 (step @p109 :rule process_scope :premises (@p999) :args (@t94)) % 64.82/65.63 (step @p113 :rule implies_elim :premises (@p109)) % 64.82/65.63 (step @p114 :rule cnf_and_neg :args (@t95)) % 64.82/65.63 (step @p115 :rule resolution :premises (@p114 @p113) :args (true @t95)) % 64.82/65.63 (step @p116 :rule refl :args (@t98)) % 64.82/65.63 (step @p117 :rule bool-double-not-elim :args (@t89)) % 64.82/65.63 (step @p118 :rule refl :args (@t100)) % 64.82/65.63 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116) :args ((or @t100 (not @t101) @t98))) % 64.82/65.63 (assume-push @p1000 @t99) % 64.82/65.63 (assume-push @p1001 @t101) % 64.82/65.63 (assume-push @p1002 @t101) % 64.82/65.63 (assume-push @p1003 @t99) % 64.82/65.63 (step @p124 :rule false_intro :premises (@p1001)) % 64.82/65.63 (step @p125 :rule symm :premises (@p28)) % 64.82/65.63 (step @p99 :rule refl :args (@t87)) % 64.82/65.63 (step @p126 :rule cong :premises (@p99 @p125) :args (@t97)) % 64.82/65.63 (step @p127 :rule trans :premises (@p126 @p124)) % 64.82/65.63 (step @p128 :rule false_elim :premises (@p127)) % 64.82/65.63 (step-pop @p1004 :rule scope :premises (@p128)) % 64.82/65.63 (step-pop @p1005 :rule scope :premises (@p1004)) % 64.82/65.63 (step @p129 :rule process_scope :premises (@p1005) :args (@t98)) % 64.82/65.63 (step @p132 :rule and_intro :premises (@p1001 @p28)) % 64.82/65.63 (step @p133 :rule modus_ponens :premises (@p132 @p129)) % 64.82/65.63 (step-pop @p1006 :rule scope :premises (@p133)) % 64.82/65.63 (step-pop @p1007 :rule scope :premises (@p1006)) % 64.82/65.63 (step @p134 :rule process_scope :premises (@p1007) :args (@t98)) % 64.82/65.63 (step @p137 :rule implies_elim :premises (@p134)) % 64.82/65.63 (step @p138 :rule cnf_and_neg :args (@t102)) % 64.82/65.63 (step @p139 :rule resolution :premises (@p138 @p137) :args (true @t102)) % 64.82/65.63 (step @p140 :rule eq_resolve :premises (@p139 @p119)) % 64.82/65.63 (step @p141 :rule instantiate :premises (@p6) :args ((@list @t87 @t48 @t32))) % 64.82/65.63 (step @p142 :rule cnf_equiv_pos1 :args (@t106)) % 64.82/65.63 (step @p143 :rule reordering :premises (@p142) :args ((or @t105 (not @t94) (not @t106)))) % 64.82/65.63 (step @p144 :rule instantiate :premises (@p6) :args ((@list @t87 @t34 @t32))) % 64.82/65.63 (step @p145 :rule cnf_equiv_pos2 :args (@t109)) % 64.82/65.63 (step @p146 :rule reordering :premises (@p145) :args ((or @t97 (not @t108) (not @t109)))) % 64.82/65.63 (step @p147 :rule cnf_or_neg :args (@t108 0)) % 64.82/65.63 (step @p148 :rule cnf_or_neg :args (@t108 1)) % 64.82/65.63 (step @p149 :rule cnf_or_pos :args (@t105)) % 64.82/65.63 (step @p150 :rule reordering :premises (@p149) :args ((or @t104 @t103 (not @t105)))) % 64.82/65.63 (step @p151 :rule cnf_or_neg :args (@t110 1)) % 64.82/65.63 (step @p152 :rule reordering :premises (@p151) :args ((or (not @t104) @t110))) % 64.82/65.63 (step @p153 :rule instantiate :premises (@p6) :args ((@list @t87 @t33 @t48))) % 64.82/65.63 (step @p154 :rule cnf_equiv_pos2 :args (@t113)) % 64.82/65.63 (step @p155 :rule reordering :premises (@p154) :args ((or @t112 (not @t110) (not @t113)))) % 64.82/65.63 (step @p156 :rule instantiate :premises (@p9) :args ((@list @t33))) % 64.82/65.63 (step @p157 :rule instantiate :premises (@p8) :args ((@list @t33 @t33))) % 64.82/65.63 (step @p158 :rule refl :args (@t114)) % 64.82/65.63 (step @p159 :rule bool-double-not-elim :args (@t107)) % 64.82/65.63 (step @p160 :rule refl :args (@t117)) % 64.82/65.63 (step @p161 :rule refl :args (@t119)) % 64.82/65.63 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159 @p158) :args ((or @t119 @t117 (not @t120) @t114))) % 64.82/65.63 (assume-push @p1008 @t118) % 64.82/65.63 (assume-push @p1009 @t116) % 64.82/65.63 (assume-push @p1010 @t120) % 64.82/65.63 (assume-push @p1011 @t120) % 64.82/65.63 (assume-push @p1012 @t118) % 64.82/65.63 (assume-push @p1013 @t116) % 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@p829 :rule and_intro :premises (@p1183 @p67)) % 64.82/65.63 (step @p830 :rule modus_ponens :premises (@p829 @p826)) % 64.82/65.63 (step-pop @p1188 :rule scope :premises (@p830)) % 64.82/65.63 (step-pop @p1189 :rule scope :premises (@p1188)) % 64.82/65.63 (step @p831 :rule process_scope :premises (@p1189) :args (@t305)) % 64.82/65.63 (step @p834 :rule implies_elim :premises (@p831)) % 64.82/65.63 (step @p835 :rule cnf_and_neg :args (@t309)) % 64.82/65.63 (step @p836 :rule resolution :premises (@p835 @p834) :args (true @t309)) % 64.82/65.63 (step @p837 :rule chain_m_resolution :premises (@p836 @p816 @p67) :args ((not @t74) @t66 (@list @t305 @t308))) % 64.82/65.63 (step @p838 :rule cnf_or_pos :args (@t75)) % 64.82/65.63 (step @p839 :rule reordering :premises (@p838) :args ((or @t74 @t73 (not @t75)))) % 64.82/65.63 (step @p840 :rule chain_m_resolution :premises (@p839 @p837 @p66) :args (@t73 @t66 (@list @t74 @t75))) % 64.82/65.63 (step @p841 :rule instantiate :premises (@p8) :args ((@list @t44 @t37))) % 64.82/65.63 (assume-push @p1190 @t311) % 64.82/65.63 (assume-push @p1191 @t73) % 64.82/65.63 (assume-push @p1192 @t73) % 64.82/65.63 (assume-push @p1193 @t311) % 64.82/65.63 (step @p846 :rule true_intro :premises (@p1191)) % 64.82/65.63 (step @p847 :rule symm :premises (@p841)) % 64.82/65.63 (step @p848 :rule cong :premises (@p257 @p847) :args (@t312)) % 64.82/65.63 (step @p849 :rule trans :premises (@p848 @p846)) % 64.82/65.63 (step @p850 :rule true_elim :premises (@p849)) % 64.82/65.63 (step-pop @p1194 :rule scope :premises (@p850)) % 64.82/65.63 (step-pop @p1195 :rule scope :premises (@p1194)) % 64.82/65.63 (step @p851 :rule process_scope :premises (@p1195) :args (@t312)) % 64.82/65.63 (step @p854 :rule and_intro :premises (@p1191 @p841)) % 64.82/65.63 (step @p855 :rule modus_ponens :premises (@p854 @p851)) % 64.82/65.63 (step-pop @p1196 :rule scope :premises (@p855)) % 64.82/65.63 (step-pop @p1197 :rule scope :premises (@p1196)) % 64.82/65.63 (step @p856 :rule process_scope :premises (@p1197) :args (@t312)) % 64.82/65.63 (step @p859 :rule implies_elim :premises (@p856)) % 64.82/65.63 (step @p860 :rule cnf_and_neg :args (@t313)) % 64.82/65.63 (step @p861 :rule resolution :premises (@p860 @p859) :args (true @t313)) % 64.82/65.63 (step @p862 :rule chain_m_resolution :premises (@p861 @p841 @p840) :args (@t312 @t77 (@list @t311 @t73))) % 64.82/65.63 (step @p863 :rule cnf_equiv_pos1 :args (@t315)) % 64.82/65.63 (step @p864 :rule reordering :premises (@p863) :args ((or @t314 (not @t312) (not @t315)))) % 64.82/65.63 (step @p865 :rule chain_m_resolution :premises (@p864 @p862 @p44) :args (@t314 @t77 (@list @t312 @t315))) % 64.82/65.63 (step @p866 :rule cnf_or_pos :args (@t314)) % 64.82/65.63 (step @p867 :rule reordering :premises (@p866) :args ((or @t133 @t56 (not @t314)))) % 64.82/65.63 (step @p868 :rule chain_m_resolution :premises (@p867 @p469 @p865) :args (@t56 @t66 (@list @t133 @t314))) % 64.82/65.63 (step @p869 :rule cnf_equiv_pos2 :args (@t61)) % 64.82/65.63 (step @p870 :rule reordering :premises (@p869) :args ((or @t60 (not @t56) (not @t61)))) % 64.82/65.63 (step @p871 :rule chain_m_resolution :premises (@p870 @p868 @p43) :args (@t60 @t77 (@list @t56 @t61))) % 64.82/65.63 (assume-push @p1198 @t99) % 64.82/65.63 (assume-push @p1199 @t88) % 64.82/65.63 (assume-push @p1200 @t60) % 64.82/65.63 (assume-push @p1201 @t88) % 64.82/65.63 (assume-push @p1202 @t60) % 64.82/65.63 (assume-push @p1203 @t99) % 64.82/65.63 (step @p878 :rule true_intro :premises (@p1199)) % 64.82/65.63 (step @p125 :rule symm :premises (@p28)) % 64.82/65.63 (step @p879 :rule trans :premises (@p125 @p1200)) % 64.82/65.63 (step @p99 :rule refl :args (@t87)) % 64.82/65.63 (step @p880 :rule cong :premises (@p99 @p879) :args (@t97)) % 64.82/65.63 (step @p881 :rule cong :premises (@p99 @p28) :args (@t89)) % 64.82/65.63 (step @p882 :rule trans :premises (@p881 @p880 @p878)) % 64.82/65.63 (step @p883 :rule true_elim :premises (@p882)) % 64.82/65.63 (step-pop @p1204 :rule scope :premises (@p883)) % 64.82/65.63 (step-pop @p1205 :rule scope :premises (@p1204)) % 64.82/65.63 (step-pop @p1206 :rule scope :premises (@p1205)) % 64.82/65.63 (step @p884 :rule process_scope :premises (@p1206) :args (@t89)) % 64.82/65.63 (step @p888 :rule and_intro :premises (@p1199 @p1200 @p28)) % 64.82/65.63 (step @p889 :rule modus_ponens :premises (@p888 @p884)) % 64.82/65.63 (step-pop @p1207 :rule scope :premises (@p889)) % 64.82/65.63 (step-pop @p1208 :rule scope :premises (@p1207)) % 64.82/65.63 (step-pop @p1209 :rule scope :premises (@p1208)) % 64.82/65.63 (step @p890 :rule process_scope :premises (@p1209) :args (@t89)) % 64.82/65.63 (step @p894 :rule implies_elim :premises (@p890)) % 64.82/65.63 (step @p895 :rule cnf_and_neg :args (@t316)) % 64.82/65.63 (step @p896 :rule resolution :premises (@p895 @p894) :args (true @t316)) % 64.82/65.63 (step @p897 :rule reordering :premises (@p896) :args ((or @t100 @t90 @t89 @t317))) % 64.82/65.63 (step @p898 :rule chain_m_resolution :premises (@p897 @p871 @p28 @p88 @p87) :args (@t91 (@list false false true false) (@list @t60 @t99 @t89 @t88))) % 64.82/65.63 (step @p899 :rule chain_m_resolution :premises (@p675 @p898) :args (@t86 @t62 (@list @t91))) % 64.82/65.63 (step @p900 :rule chain_m_resolution :premises (@p689 @p899 @p687) :args (@t271 @t77 (@list @t86 @t272))) % 64.82/65.63 (step @p901 :rule chain_m_resolution :premises (@p700 @p900 @p698) :args (@t273 @t77 (@list @t271 @t275))) % 64.82/65.63 (step @p902 :rule chain_m_resolution :premises (@p713 @p706 @p901) :args (@t276 @t66 (@list @t278 @t273))) % 64.82/65.63 (step @p903 :rule chain_m_resolution :premises (@p734 @p714 @p902) :args (@t285 @t77 (@list @t284 @t276))) % 64.82/65.63 (step @p904 :rule chain_m_resolution :premises (@p737 @p903 @p735) :args (@t288 @t77 (@list @t285 @t289))) % 64.82/65.63 (step @p905 :rule nary_cong :premises (@p767 @p766 @p765) :args ((or @t169 @t298 @t297))) % 64.82/65.63 (assume-push @p1210 @t296) % 64.82/65.63 (assume-push @p1211 @t292) % 64.82/65.63 (assume-push @p1212 @t168) % 64.82/65.63 (step @p909 :rule evaluate :args ((= true false))) % 64.82/65.63 (step @p910 :rule false_intro :premises (@p1210)) % 64.82/65.63 (step @p911 :rule symm :premises (@p1211)) % 64.82/65.63 (step @p313 :rule refl :args (@t166)) % 64.82/65.63 (step @p912 :rule cong :premises (@p313 @p911) :args (@t168)) % 64.82/65.63 (step @p913 :rule true_intro :premises (@p1212)) % 64.82/65.63 (step @p914 :rule symm :premises (@p913)) % 64.82/65.63 (step @p915 :rule trans :premises (@p914 @p912 @p910)) % 64.82/65.63 (step @p916 false :rule eq_resolve :premises (@p915 @p909)) % 64.82/65.63 (step-pop @p1213 :rule scope :premises (@p916)) % 64.82/65.63 (step-pop @p1214 :rule scope :premises (@p1213)) % 64.82/65.63 (step-pop @p1215 :rule scope :premises (@p1214)) % 64.82/65.63 (step @p917 :rule process_scope :premises (@p1215) :args (false)) % 64.82/65.63 (assume-push @p1216 @t168) % 64.82/65.63 (assume-push @p1217 @t296) % 64.82/65.63 (assume-push @p1218 @t292) % 64.82/65.63 (step @p924 :rule and_intro :premises (@p1217 @p1218 @p1216)) % 64.82/65.63 (step-pop @p1219 :rule scope :premises (@p924)) % 64.82/65.63 (step-pop @p1220 :rule scope :premises (@p1219)) % 64.82/65.63 (step-pop @p1221 :rule scope :premises (@p1220)) % 64.82/65.63 (step @p925 :rule process_scope :premises (@p1221) :args (@t318)) % 64.82/65.63 (step @p929 :rule implies_elim :premises (@p925)) % 64.82/65.63 (step @p930 :rule resolution :premises (@p929 @p917) :args (true @t318)) % 64.82/65.63 (step @p931 :rule not_and :premises (@p930)) % 64.82/65.63 (step @p932 :rule eq_resolve :premises (@p931 @p905)) % 64.82/65.63 (step @p933 :rule chain_m_resolution :premises (@p932 @p763 @p764) :args (@t297 (@list false true) (@list @t168 @t167))) % 64.82/65.63 (step @p934 :rule chain_m_resolution :premises (@p754 @p933 @p752) :args (@t294 @t66 (@list @t292 @t293))) % 64.82/65.63 (step @p935 :rule chain_m_resolution :premises (@p739 @p934 @p904) :args (@t267 @t66 (@list @t287 @t288))) % 64.82/65.63 (step @p936 :rule chain_m_resolution :premises (@p686 @p935 @p684) :args (@t205 @t77 (@list @t267 @t269))) % 64.82/65.63 (step @p937 :rule chain_m_resolution :premises (@p506 @p483 @p936 @p504) :args (@t222 (@list true false false) (@list @t212 @t205 @t225))) % 64.82/65.63 (step @p938 :rule chain_m_resolution :premises (@p514 @p937 @p512) :args (@t231 @t66 (@list @t221 @t230))) % 64.82/65.63 (step @p939 :rule chain_m_resolution :premises (@p525 @p938) :args (@t237 @t71 (@list @t229))) % 64.82/65.63 (step @p940 :rule chain_m_resolution :premises (@p532 @p939) :args (@t244 @t71 @t319)) % 64.82/65.63 (step @p941 :rule instantiate :premises (@p6) :args ((@list @t232 @t34 @t32))) % 64.82/65.63 (step @p942 :rule chain_m_resolution :premises (@p531 @p939) :args (@t234 @t71 @t319)) % 64.82/65.63 (step @p943 :rule cnf_or_neg :args (@t320 0)) % 64.82/65.63 (step @p944 :rule reordering :premises (@p943) :args ((or @t235 @t320))) % 64.82/65.63 (step @p945 :rule chain_m_resolution :premises (@p944 @p942) :args (@t320 @t62 (@list @t234))) % 64.82/65.63 (step @p946 :rule cnf_equiv_pos2 :args (@t322)) % 64.82/65.63 (step @p947 :rule reordering :premises (@p946) :args ((or @t321 (not @t320) (not @t322)))) % 64.82/65.63 (step @p948 :rule chain_m_resolution :premises (@p947 @p945 @p941) :args (@t321 @t77 (@list @t320 @t322))) % 64.82/65.63 (step @p949 :rule refl :args (@t323)) % 64.82/65.63 (step @p950 :rule refl :args (@t317)) % 64.82/65.63 (step @p951 :rule nary_cong :premises (@p118 @p950 @p581 @p949) :args ((or @t100 @t317 @t245 @t323))) % 64.82/65.63 (assume-push @p1222 @t321) % 64.82/65.63 (assume-push @p1223 @t99) % 64.82/65.63 (assume-push @p1224 @t60) % 64.82/65.63 (assume-push @p1225 @t244) % 64.82/65.63 (step @p774 :rule evaluate :args (@t299)) % 64.82/65.63 (step @p956 :rule true_intro :premises (@p1222)) % 64.82/65.63 (step @p957 :rule symm :premises (@p1224)) % 64.82/65.63 (step @p958 :rule trans :premises (@p957 @p28)) % 64.82/65.63 (step @p563 :rule refl :args (@t232)) % 64.82/65.63 (step @p959 :rule cong :premises (@p563 @p958) :args (@t233)) % 64.82/65.63 (step @p960 :rule false_intro :premises (@p1225)) % 64.82/65.63 (step @p961 :rule symm :premises (@p960)) % 64.82/65.63 (step @p962 :rule trans :premises (@p961 @p959 @p956)) % 64.82/65.63 (step @p963 false :rule eq_resolve :premises (@p962 @p774)) % 64.82/65.63 (step-pop @p1226 :rule scope :premises (@p963)) % 64.82/65.63 (step-pop @p1227 :rule scope :premises (@p1226)) % 64.82/65.63 (step-pop @p1228 :rule scope :premises (@p1227)) % 64.82/65.63 (step-pop @p1229 :rule scope :premises (@p1228)) % 64.82/65.63 (step @p964 :rule process_scope :premises (@p1229) :args (false)) % 64.82/65.63 (assume-push @p1230 @t99) % 64.82/65.63 (assume-push @p1231 @t60) % 64.82/65.63 (assume-push @p1232 @t244) % 64.82/65.63 (assume-push @p1233 @t321) % 64.82/65.63 (step @p973 :rule and_intro :premises (@p1233 @p28 @p1231 @p1232)) % 64.82/65.63 (step-pop @p1234 :rule scope :premises (@p973)) % 64.82/65.63 (step-pop @p1235 :rule scope :premises (@p1234)) % 64.82/65.63 (step-pop @p1236 :rule scope :premises (@p1235)) % 64.82/65.63 (step-pop @p1237 :rule scope :premises (@p1236)) % 64.82/65.63 (step @p974 :rule process_scope :premises (@p1237) :args (@t324)) % 64.82/65.63 (step @p979 :rule implies_elim :premises (@p974)) % 64.82/65.63 (step @p980 :rule resolution :premises (@p979 @p964) :args (true @t324)) % 64.82/65.63 (step @p981 :rule not_and :premises (@p980)) % 64.82/65.63 (step @p982 :rule eq_resolve :premises (@p981 @p951)) % 64.82/65.63 (step @p983 false :rule chain_m_resolution :premises (@p982 @p948 @p940 @p871 @p28) :args (false (@list false true false false) (@list @t321 @t233 @t60 @t99))) % 64.82/65.63 ) % 64.82/65.63 % SZS output end Proof % 64.82/65.63 % cvc5 exiting %------------------------------------------------------------------------------