%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV573+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 : n022.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 170.43s 170.70s % Output : Proof 170.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV573+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 % 0.18/0.34 % Computer : n022.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:40:08 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 170.43/170.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 170.43/170.70 --- Run --no-e-matching --full-saturate-quant at 6... % 170.43/170.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 170.43/170.70 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 170.43/170.70 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 170.43/170.70 --- Run --trigger-sel=max --full-saturate-quant at 15... % 170.43/170.70 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 170.43/170.70 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 170.43/170.70 --- Run --prenex-quant=none --full-saturate-quant at 30... % 170.43/170.70 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 170.43/170.70 % SZS status Theorem % 170.43/170.70 % SZS output start Proof % 170.43/170.70 ( % 170.43/170.70 (declare-sort $$unsorted 0) % 170.43/170.70 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 170.43/170.70 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.e $$unsorted) % 170.43/170.70 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 170.43/170.70 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 170.43/170.70 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 170.43/170.70 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 170.43/170.70 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 170.43/170.70 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 170.43/170.70 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 170.43/170.70 (define @t1 () (@var "Y" $$unsorted)) % 170.43/170.70 (define @t2 () (@var "Z" $$unsorted)) % 170.43/170.70 (define @t3 () (tptp.mem @t2 @t1)) % 170.43/170.70 (define @t4 () (@var "X" $$unsorted)) % 170.43/170.70 (define @t5 () (tptp.mem @t2 @t4)) % 170.43/170.70 (define @t6 () (@list @t2)) % 170.43/170.70 (define @t7 () (forall @t6 (=> @t5 @t3))) % 170.43/170.70 (define @t8 () (tptp.subq @t4 @t1)) % 170.43/170.70 (define @t9 () (= @t8 @t7)) % 170.43/170.70 (define @t10 () (@list @t4 @t1)) % 170.43/170.70 (define @t11 () (forall @t10 @t9)) % 170.43/170.70 (define @t12 () (= @t4 @t1)) % 170.43/170.70 (define @t13 () (tptp.subq @t1 @t4)) % 170.43/170.70 (define @t14 () (=> @t13 @t12)) % 170.43/170.70 (define @t15 () (forall @t10 (=> @t8 @t14))) % 170.43/170.70 (define @t16 () (@list @t4)) % 170.43/170.70 (define @t17 () (tptp.s @t1)) % 170.43/170.70 (define @t18 () (tptp.mem @t4 @t17)) % 170.43/170.70 (define @t19 () (forall @t10 (= @t18 @t12))) % 170.43/170.70 (define @t20 () (tptp.mem @t4 @t2)) % 170.43/170.70 (define @t21 () (tptp.mem @t4 @t1)) % 170.43/170.70 (define @t22 () (@list @t4 @t1 @t2)) % 170.43/170.70 (define @t23 () (tptp.p @t1)) % 170.43/170.70 (define @t24 () (tptp.mem @t4 @t23)) % 170.43/170.70 (define @t25 () (forall @t10 (= @t24 @t8))) % 170.43/170.70 (define @t26 () (@list @t1)) % 170.43/170.70 (define @t27 () (not @t8)) % 170.43/170.70 (define @t28 () (tptp.n tptp.e)) % 170.43/170.70 (define @t29 () (tptp.n @t28)) % 170.43/170.70 (define @t30 () (tptp.s @t28)) % 170.43/170.70 (define @t31 () (tptp.a @t30 @t29)) % 170.43/170.70 (define @t32 () (tptp.s @t31)) % 170.43/170.70 (define @t33 () (tptp.p @t29)) % 170.43/170.70 (define @t34 () (tptp.n @t30)) % 170.43/170.70 (define @t35 () (tptp.u @t28 @t34)) % 170.43/170.70 (define @t36 () (tptp.p @t35)) % 170.43/170.70 (define @t37 () (tptp.m @t36 @t33)) % 170.43/170.70 (define @t38 () (tptp.u @t37 @t32)) % 170.43/170.70 (define @t39 () (tptp.p @t30)) % 170.43/170.70 (define @t40 () (tptp.s @t39)) % 170.43/170.70 (define @t41 () (tptp.a @t40 @t34)) % 170.43/170.70 (define @t42 () (tptp.a @t41 @t35)) % 170.43/170.70 (define @t43 () (tptp.u @t42 @t32)) % 170.43/170.70 (define @t44 () (tptp.subq @t43 @t38)) % 170.43/170.70 (define @t45 () (not @t13)) % 170.43/170.70 (define @t46 () (or @t27 @t45 @t12)) % 170.43/170.70 (define @t47 () (@list tptp.e @t30)) % 170.43/170.70 (define @t48 () (tptp.mem @t28 @t30)) % 170.43/170.70 (define @t49 () (= (= @t28 @t28) @t48)) % 170.43/170.70 (define @t50 () (forall @t10 (= @t12 @t18))) % 170.43/170.70 (define @t51 () (@list @t28 @t28)) % 170.43/170.70 (define @t52 () (@list false)) % 170.43/170.70 (define @t53 () (@list @t50)) % 170.43/170.70 (define @t54 () (@list @t28)) % 170.43/170.70 (define @t55 () (= tptp.e @t30)) % 170.43/170.70 (define @t56 () (not @t55)) % 170.43/170.70 (define @t57 () (not @t48)) % 170.43/170.70 (define @t58 () (tptp.mem @t28 tptp.e)) % 170.43/170.70 (define @t59 () (not @t58)) % 170.43/170.70 (define @t60 () (= true false)) % 170.43/170.70 (define @t61 () (and @t59 @t55 @t48)) % 170.43/170.70 (define @t62 () (@list true false)) % 170.43/170.70 (define @t63 () (tptp.mem @t2 @t30)) % 170.43/170.70 (define @t64 () (tptp.mem @t2 tptp.e)) % 170.43/170.70 (define @t65 () (not @t64)) % 170.43/170.70 (define @t66 () (forall @t6 (or @t65 @t63))) % 170.43/170.70 (define @t67 () (@quantifiers_skolemize @t66 0)) % 170.43/170.70 (define @t68 () (tptp.mem @t67 tptp.e)) % 170.43/170.70 (define @t69 () (not @t68)) % 170.43/170.70 (define @t70 () (or @t69 (tptp.mem @t67 @t30))) % 170.43/170.70 (define @t71 () (@list true)) % 170.43/170.70 (define @t72 () (not @t70)) % 170.43/170.70 (define @t73 () (not @t66)) % 170.43/170.70 (define @t74 () (tptp.subq tptp.e @t30)) % 170.43/170.70 (define @t75 () (= @t74 @t66)) % 170.43/170.70 (define @t76 () (@list false false)) % 170.43/170.70 (define @t77 () (tptp.subq @t30 tptp.e)) % 170.43/170.70 (define @t78 () (not @t77)) % 170.43/170.70 (define @t79 () (not @t74)) % 170.43/170.70 (define @t80 () (or @t79 @t78 @t55)) % 170.43/170.70 (define @t81 () (@list false true false)) % 170.43/170.70 (define @t82 () (not @t63)) % 170.43/170.70 (define @t83 () (forall @t6 (or @t82 (tptp.mem @t2 @t31)))) % 170.43/170.70 (define @t84 () (@quantifiers_skolemize @t83 0)) % 170.43/170.70 (define @t85 () (tptp.mem @t84 @t30)) % 170.43/170.70 (define @t86 () (tptp.mem @t84 @t31)) % 170.43/170.70 (define @t87 () (not @t85)) % 170.43/170.70 (define @t88 () (or @t87 @t86)) % 170.43/170.70 (define @t89 () (tptp.s @t29)) % 170.43/170.70 (define @t90 () (or @t85 (tptp.mem @t84 @t89))) % 170.43/170.70 (define @t91 () (tptp.u @t30 @t89)) % 170.43/170.70 (define @t92 () (tptp.mem @t84 @t91)) % 170.43/170.70 (define @t93 () (= @t92 @t90)) % 170.43/170.70 (define @t94 () (not @t92)) % 170.43/170.70 (define @t95 () (= @t31 @t91)) % 170.43/170.70 (define @t96 () (not @t95)) % 170.43/170.70 (define @t97 () (not @t86)) % 170.43/170.70 (define @t98 () (and @t95 @t97)) % 170.43/170.70 (define @t99 () (not @t88)) % 170.43/170.70 (define @t100 () (not @t83)) % 170.43/170.70 (define @t101 () (tptp.subq @t30 @t31)) % 170.43/170.70 (define @t102 () (= @t101 @t83)) % 170.43/170.70 (define @t103 () (tptp.mem @t2 @t38)) % 170.43/170.70 (define @t104 () (tptp.p tptp.e)) % 170.43/170.70 (define @t105 () (forall @t6 (or (not (tptp.mem @t2 @t104)) @t103))) % 170.43/170.70 (define @t106 () (@quantifiers_skolemize @t105 0)) % 170.43/170.70 (define @t107 () (tptp.subq @t106 tptp.e)) % 170.43/170.70 (define @t108 () (tptp.mem @t106 @t104)) % 170.43/170.70 (define @t109 () (forall @t10 (= @t8 @t24))) % 170.43/170.70 (define @t110 () (= @t107 @t108)) % 170.43/170.70 (define @t111 () (@list @t106 tptp.e)) % 170.43/170.70 (define @t112 () (= @t108 @t107)) % 170.43/170.70 (define @t113 () (@list @t109)) % 170.43/170.70 (define @t114 () (tptp.subq tptp.e @t106)) % 170.43/170.70 (define @t115 () (not @t114)) % 170.43/170.70 (define @t116 () (not @t107)) % 170.43/170.70 (define @t117 () (or @t116 @t115 (= @t106 tptp.e))) % 170.43/170.70 (define @t118 () (forall @t10 @t46)) % 170.43/170.70 (define @t119 () (= tptp.e @t106)) % 170.43/170.70 (define @t120 () (or @t116 @t115 @t119)) % 170.43/170.70 (define @t121 () (@list @t118)) % 170.43/170.70 (define @t122 () (tptp.mem @t2 @t106)) % 170.43/170.70 (define @t123 () (forall @t6 (or @t65 @t122))) % 170.43/170.70 (define @t124 () (@quantifiers_skolemize @t123 0)) % 170.43/170.70 (define @t125 () (tptp.mem @t124 tptp.e)) % 170.43/170.70 (define @t126 () (not @t125)) % 170.43/170.70 (define @t127 () (or @t126 (tptp.mem @t124 @t106))) % 170.43/170.70 (define @t128 () (not @t127)) % 170.43/170.70 (define @t129 () (not @t123)) % 170.43/170.70 (define @t130 () (= @t114 @t123)) % 170.43/170.70 (define @t131 () (forall @t6 (or (not (tptp.mem @t2 @t43)) @t103))) % 170.43/170.70 (define @t132 () (@quantifiers_skolemize @t131 0)) % 170.43/170.70 (define @t133 () (not (tptp.mem @t2 @t132))) % 170.43/170.70 (define @t134 () (forall @t6 (or @t133 (tptp.mem @t2 @t35)))) % 170.43/170.70 (define @t135 () (@quantifiers_skolemize @t134 0)) % 170.43/170.70 (define @t136 () (tptp.mem @t2 @t135)) % 170.43/170.70 (define @t137 () (forall @t6 (or (not @t122) @t136))) % 170.43/170.70 (define @t138 () (@quantifiers_skolemize @t137 0)) % 170.43/170.70 (define @t139 () (tptp.mem @t138 @t106)) % 170.43/170.70 (define @t140 () (not @t139)) % 170.43/170.70 (define @t141 () (tptp.mem @t138 tptp.e)) % 170.43/170.70 (define @t142 () (not @t119)) % 170.43/170.70 (define @t143 () (not @t141)) % 170.43/170.70 (define @t144 () (and @t119 @t143)) % 170.43/170.70 (define @t145 () (tptp.mem @t2 @t28)) % 170.43/170.70 (define @t146 () (forall @t6 (or (not @t145) @t64))) % 170.43/170.70 (define @t147 () (@quantifiers_skolemize @t146 0)) % 170.43/170.70 (define @t148 () (tptp.s tptp.e)) % 170.43/170.70 (define @t149 () (tptp.mem @t147 @t148)) % 170.43/170.70 (define @t150 () (= @t147 tptp.e)) % 170.43/170.70 (define @t151 () (= @t150 @t149)) % 170.43/170.70 (define @t152 () (= tptp.e @t147)) % 170.43/170.70 (define @t153 () (= @t149 @t152)) % 170.43/170.70 (define @t154 () (@list tptp.e @t28)) % 170.43/170.70 (define @t155 () (tptp.mem tptp.e @t148)) % 170.43/170.70 (define @t156 () (= (= tptp.e tptp.e) @t155)) % 170.43/170.70 (define @t157 () (@list tptp.e tptp.e)) % 170.43/170.70 (define @t158 () (tptp.mem tptp.e tptp.e)) % 170.43/170.70 (define @t159 () (or @t158 @t155)) % 170.43/170.70 (define @t160 () (tptp.u tptp.e @t148)) % 170.43/170.70 (define @t161 () (tptp.mem tptp.e @t160)) % 170.43/170.70 (define @t162 () (= @t161 @t159)) % 170.43/170.70 (define @t163 () (@list tptp.e)) % 170.43/170.70 (define @t164 () (not @t161)) % 170.43/170.70 (define @t165 () (tptp.a tptp.e tptp.e)) % 170.43/170.70 (define @t166 () (= @t165 @t160)) % 170.43/170.70 (define @t167 () (not @t166)) % 170.43/170.70 (define @t168 () (= tptp.e @t28)) % 170.43/170.70 (define @t169 () (not @t168)) % 170.43/170.70 (define @t170 () (= @t28 @t165)) % 170.43/170.70 (define @t171 () (not @t170)) % 170.43/170.70 (define @t172 () (not @t158)) % 170.43/170.70 (define @t173 () (= false true)) % 170.43/170.70 (define @t174 () (and @t161 @t166 @t170 @t168 @t172)) % 170.43/170.70 (define @t175 () (forall @t6 (or @t65 @t145))) % 170.43/170.70 (define @t176 () (@quantifiers_skolemize @t175 0)) % 170.43/170.70 (define @t177 () (tptp.mem @t176 tptp.e)) % 170.43/170.70 (define @t178 () (not @t177)) % 170.43/170.70 (define @t179 () (or @t178 (tptp.mem @t176 @t28))) % 170.43/170.70 (define @t180 () (not @t179)) % 170.43/170.70 (define @t181 () (not @t175)) % 170.43/170.70 (define @t182 () (tptp.subq tptp.e @t28)) % 170.43/170.70 (define @t183 () (= @t182 @t175)) % 170.43/170.70 (define @t184 () (tptp.subq @t28 tptp.e)) % 170.43/170.70 (define @t185 () (not @t184)) % 170.43/170.70 (define @t186 () (not @t182)) % 170.43/170.70 (define @t187 () (or @t186 @t185 @t168)) % 170.43/170.70 (define @t188 () (= @t184 @t146)) % 170.43/170.70 (define @t189 () (not @t146)) % 170.43/170.70 (define @t190 () (tptp.mem @t147 tptp.e)) % 170.43/170.70 (define @t191 () (tptp.mem @t147 @t28)) % 170.43/170.70 (define @t192 () (not @t191)) % 170.43/170.70 (define @t193 () (or @t192 @t190)) % 170.43/170.70 (define @t194 () (not @t193)) % 170.43/170.70 (define @t195 () (or @t190 @t149)) % 170.43/170.70 (define @t196 () (tptp.mem @t147 @t160)) % 170.43/170.70 (define @t197 () (= @t196 @t195)) % 170.43/170.70 (define @t198 () (and @t170 @t166 @t191)) % 170.43/170.70 (define @t199 () (tptp.mem @t135 @t148)) % 170.43/170.70 (define @t200 () (= @t135 tptp.e)) % 170.43/170.70 (define @t201 () (= @t200 @t199)) % 170.43/170.70 (define @t202 () (= tptp.e @t135)) % 170.43/170.70 (define @t203 () (= @t199 @t202)) % 170.43/170.70 (define @t204 () (@list @t132 @t35)) % 170.43/170.70 (define @t205 () (tptp.subq @t132 @t35)) % 170.43/170.70 (define @t206 () (tptp.mem @t132 @t36)) % 170.43/170.70 (define @t207 () (= @t205 @t206)) % 170.43/170.70 (define @t208 () (= @t206 @t205)) % 170.43/170.70 (define @t209 () (= @t44 @t131)) % 170.43/170.70 (define @t210 () (not @t131)) % 170.43/170.70 (define @t211 () (tptp.mem @t132 @t38)) % 170.43/170.70 (define @t212 () (tptp.mem @t132 @t43)) % 170.43/170.70 (define @t213 () (not @t212)) % 170.43/170.70 (define @t214 () (or @t213 @t211)) % 170.43/170.70 (define @t215 () (@list @t214)) % 170.43/170.70 (define @t216 () (tptp.mem @t132 @t32)) % 170.43/170.70 (define @t217 () (tptp.mem @t132 @t37)) % 170.43/170.70 (define @t218 () (or @t217 @t216)) % 170.43/170.70 (define @t219 () (= @t211 @t218)) % 170.43/170.70 (define @t220 () (not @t218)) % 170.43/170.70 (define @t221 () (@list @t218)) % 170.43/170.70 (define @t222 () (tptp.mem @t132 @t33)) % 170.43/170.70 (define @t223 () (not @t222)) % 170.43/170.70 (define @t224 () (and @t206 @t223)) % 170.43/170.70 (define @t225 () (= @t217 @t224)) % 170.43/170.70 (define @t226 () (not @t224)) % 170.43/170.70 (define @t227 () (tptp.subq @t132 @t29)) % 170.43/170.70 (define @t228 () (= @t227 @t222)) % 170.43/170.70 (define @t229 () (@list @t132 @t29)) % 170.43/170.70 (define @t230 () (= @t222 @t227)) % 170.43/170.70 (define @t231 () (@list @t30 @t30)) % 170.43/170.70 (define @t232 () (tptp.subq @t30 @t30)) % 170.43/170.70 (define @t233 () (forall @t6 (or @t82 @t63))) % 170.43/170.70 (define @t234 () (= @t232 @t233)) % 170.43/170.70 (define @t235 () (forall @t10 (= @t8 (forall @t6 (or (not @t5) @t3))))) % 170.43/170.70 (define @t236 () (@list @t235)) % 170.43/170.70 (define @t237 () (tptp.mem @t30 @t39)) % 170.43/170.70 (define @t238 () (= @t232 @t237)) % 170.43/170.70 (define @t239 () (not @t237)) % 170.43/170.70 (define @t240 () (tptp.mem @t30 @t132)) % 170.43/170.70 (define @t241 () (= @t39 @t132)) % 170.43/170.70 (define @t242 () (not @t241)) % 170.43/170.70 (define @t243 () (not @t240)) % 170.43/170.70 (define @t244 () (not @t243)) % 170.43/170.70 (define @t245 () (and @t237 @t241 @t243)) % 170.43/170.70 (define @t246 () (tptp.mem @t132 @t40)) % 170.43/170.70 (define @t247 () (= @t132 @t39)) % 170.43/170.70 (define @t248 () (= @t247 @t246)) % 170.43/170.70 (define @t249 () (= @t246 @t241)) % 170.43/170.70 (define @t250 () (tptp.s @t34)) % 170.43/170.70 (define @t251 () (tptp.s @t35)) % 170.43/170.70 (define @t252 () (tptp.mem @t132 @t42)) % 170.43/170.70 (define @t253 () (or @t252 @t216)) % 170.43/170.70 (define @t254 () (= @t212 @t253)) % 170.43/170.70 (define @t255 () (tptp.mem @t132 (tptp.u @t41 @t251))) % 170.43/170.70 (define @t256 () (tptp.mem @t132 @t251)) % 170.43/170.70 (define @t257 () (tptp.mem @t132 @t41)) % 170.43/170.70 (define @t258 () (or @t257 @t256)) % 170.43/170.70 (define @t259 () (= @t255 @t258)) % 170.43/170.70 (define @t260 () (= @t132 @t35)) % 170.43/170.70 (define @t261 () (= @t260 @t256)) % 170.43/170.70 (define @t262 () (= @t35 @t132)) % 170.43/170.70 (define @t263 () (= @t256 @t262)) % 170.43/170.70 (define @t264 () (tptp.mem @t135 @t132)) % 170.43/170.70 (define @t265 () (tptp.mem @t135 @t35)) % 170.43/170.70 (define @t266 () (not @t264)) % 170.43/170.70 (define @t267 () (or @t266 @t265)) % 170.43/170.70 (define @t268 () (and @t262 @t264)) % 170.43/170.70 (define @t269 () (not @t262)) % 170.43/170.70 (define @t270 () (tptp.s @t30)) % 170.43/170.70 (define @t271 () (tptp.mem @t30 @t270)) % 170.43/170.70 (define @t272 () (= (= @t30 @t30) @t271)) % 170.43/170.70 (define @t273 () (tptp.mem @t30 @t30)) % 170.43/170.70 (define @t274 () (or @t273 @t271)) % 170.43/170.70 (define @t275 () (tptp.u @t30 @t270)) % 170.43/170.70 (define @t276 () (tptp.mem @t30 @t275)) % 170.43/170.70 (define @t277 () (= @t276 @t274)) % 170.43/170.70 (define @t278 () (@list @t30)) % 170.43/170.70 (define @t279 () (tptp.mem @t30 @t34)) % 170.43/170.70 (define @t280 () (tptp.mem @t30 @t28)) % 170.43/170.70 (define @t281 () (or @t280 @t279)) % 170.43/170.70 (define @t282 () (tptp.mem @t30 @t35)) % 170.43/170.70 (define @t283 () (= @t282 @t281)) % 170.43/170.70 (define @t284 () (and @t262 @t282)) % 170.43/170.70 (define @t285 () (not @t267)) % 170.43/170.70 (define @t286 () (not @t134)) % 170.43/170.70 (define @t287 () (tptp.mem @t30 @t148)) % 170.43/170.70 (define @t288 () (= @t30 tptp.e)) % 170.43/170.70 (define @t289 () (= @t288 @t287)) % 170.43/170.70 (define @t290 () (= @t55 @t287)) % 170.43/170.70 (define @t291 () (not @t287)) % 170.43/170.70 (define @t292 () (tptp.mem @t30 tptp.e)) % 170.43/170.70 (define @t293 () (or @t292 @t287)) % 170.43/170.70 (define @t294 () (not @t293)) % 170.43/170.70 (define @t295 () (@list true true)) % 170.43/170.70 (define @t296 () (tptp.mem @t30 @t160)) % 170.43/170.70 (define @t297 () (= @t296 @t293)) % 170.43/170.70 (define @t298 () (not @t296)) % 170.43/170.70 (define @t299 () (not @t280)) % 170.43/170.70 (define @t300 () (not @t298)) % 170.43/170.70 (define @t301 () (and @t170 @t166 @t298)) % 170.43/170.70 (define @t302 () (or @t280 @t273)) % 170.43/170.70 (define @t303 () (not @t302)) % 170.43/170.70 (define @t304 () (= @t30 @t28)) % 170.43/170.70 (define @t305 () (= @t304 @t273)) % 170.43/170.70 (define @t306 () (= @t28 @t30)) % 170.43/170.70 (define @t307 () (= @t273 @t306)) % 170.43/170.70 (define @t308 () (not @t273)) % 170.43/170.70 (define @t309 () (not @t306)) % 170.43/170.70 (define @t310 () (and @t298 @t166 @t170 @t306 @t273)) % 170.43/170.70 (define @t311 () (tptp.u @t28 @t30)) % 170.43/170.70 (define @t312 () (tptp.mem @t30 @t311)) % 170.43/170.70 (define @t313 () (= @t312 @t302)) % 170.43/170.70 (define @t314 () (not @t312)) % 170.43/170.70 (define @t315 () (tptp.a @t28 @t28)) % 170.43/170.70 (define @t316 () (= @t29 @t315)) % 170.43/170.70 (define @t317 () (= @t315 @t311)) % 170.43/170.70 (define @t318 () (tptp.mem @t30 @t29)) % 170.43/170.70 (define @t319 () (and @t316 @t317 @t318)) % 170.43/170.70 (define @t320 () (@list true false false)) % 170.43/170.70 (define @t321 () (or @t243 @t318)) % 170.43/170.70 (define @t322 () (not @t321)) % 170.43/170.70 (define @t323 () (= @t205 @t134)) % 170.43/170.70 (define @t324 () (tptp.mem @t2 @t29)) % 170.43/170.70 (define @t325 () (forall @t6 (or @t133 @t324))) % 170.43/170.70 (define @t326 () (not @t205)) % 170.43/170.70 (define @t327 () (= @t227 @t325)) % 170.43/170.70 (define @t328 () (not @t227)) % 170.43/170.70 (define @t329 () (not @t206)) % 170.43/170.70 (define @t330 () (not @t256)) % 170.43/170.70 (define @t331 () (not @t257)) % 170.43/170.70 (define @t332 () (tptp.u @t40 @t250)) % 170.43/170.70 (define @t333 () (tptp.mem @t132 @t332)) % 170.43/170.70 (define @t334 () (= @t41 @t332)) % 170.43/170.70 (define @t335 () (not @t334)) % 170.43/170.70 (define @t336 () (not @t333)) % 170.43/170.70 (define @t337 () (and @t334 @t336)) % 170.43/170.70 (define @t338 () (tptp.mem @t132 @t250)) % 170.43/170.70 (define @t339 () (or @t246 @t338)) % 170.43/170.70 (define @t340 () (= @t333 @t339)) % 170.43/170.70 (define @t341 () (= @t132 @t34)) % 170.43/170.70 (define @t342 () (= @t341 @t338)) % 170.43/170.70 (define @t343 () (= @t34 @t132)) % 170.43/170.70 (define @t344 () (= @t338 @t343)) % 170.43/170.70 (define @t345 () (not @t338)) % 170.43/170.70 (define @t346 () (not @t276)) % 170.43/170.70 (define @t347 () (not @t343)) % 170.43/170.70 (define @t348 () (tptp.a @t30 @t30)) % 170.43/170.70 (define @t349 () (= @t348 @t275)) % 170.43/170.70 (define @t350 () (not @t349)) % 170.43/170.70 (define @t351 () (= @t34 @t348)) % 170.43/170.70 (define @t352 () (not @t351)) % 170.43/170.70 (define @t353 () (and @t276 @t349 @t351 @t343 @t243)) % 170.43/170.70 (define @t354 () (@list @t267)) % 170.43/170.70 (define @t355 () (tptp.mem @t135 @t34)) % 170.43/170.70 (define @t356 () (tptp.mem @t135 @t28)) % 170.43/170.70 (define @t357 () (or @t356 @t355)) % 170.43/170.70 (define @t358 () (= @t265 @t357)) % 170.43/170.70 (define @t359 () (not @t357)) % 170.43/170.70 (define @t360 () (not @t356)) % 170.43/170.70 (define @t361 () (@list @t357)) % 170.43/170.70 (define @t362 () (tptp.mem @t135 @t160)) % 170.43/170.70 (define @t363 () (not @t362)) % 170.43/170.70 (define @t364 () (and @t170 @t166 @t360)) % 170.43/170.70 (define @t365 () (@list false false true)) % 170.43/170.70 (define @t366 () (or (tptp.mem @t135 tptp.e) @t199)) % 170.43/170.70 (define @t367 () (= @t362 @t366)) % 170.43/170.70 (define @t368 () (not @t366)) % 170.43/170.70 (define @t369 () (not @t202)) % 170.43/170.70 (define @t370 () (= @t135 @t106)) % 170.43/170.70 (define @t371 () (not @t370)) % 170.43/170.70 (define @t372 () (not @t152)) % 170.43/170.70 (define @t373 () (and @t152 @t119 @t370 @t369)) % 170.43/170.70 (define @t374 () (or @t140 (tptp.mem @t138 @t135))) % 170.43/170.70 (define @t375 () (@list @t135 @t30)) % 170.43/170.70 (define @t376 () (not @t355)) % 170.43/170.70 (define @t377 () (not @t376)) % 170.43/170.70 (define @t378 () (and @t376 @t343 @t264)) % 170.43/170.70 (define @t379 () (tptp.mem @t135 @t39)) % 170.43/170.70 (define @t380 () (and @t241 @t264)) % 170.43/170.70 (define @t381 () (tptp.subq @t135 @t30)) % 170.43/170.70 (define @t382 () (= @t381 @t379)) % 170.43/170.70 (define @t383 () (not @t136)) % 170.43/170.70 (define @t384 () (forall @t6 (or @t383 @t63))) % 170.43/170.70 (define @t385 () (= @t381 @t384)) % 170.43/170.70 (define @t386 () (not @t381)) % 170.43/170.70 (define @t387 () (forall @t6 (or @t383 @t122))) % 170.43/170.70 (define @t388 () (@quantifiers_skolemize @t387 0)) % 170.43/170.70 (define @t389 () (tptp.mem @t388 @t30)) % 170.43/170.70 (define @t390 () (tptp.mem @t388 @t135)) % 170.43/170.70 (define @t391 () (not @t390)) % 170.43/170.70 (define @t392 () (or @t391 @t389)) % 170.43/170.70 (define @t393 () (= @t388 @t28)) % 170.43/170.70 (define @t394 () (= @t393 @t389)) % 170.43/170.70 (define @t395 () (= @t28 @t388)) % 170.43/170.70 (define @t396 () (= @t389 @t395)) % 170.43/170.70 (define @t397 () (tptp.subq @t30 @t135)) % 170.43/170.70 (define @t398 () (not @t397)) % 170.43/170.70 (define @t399 () (= @t135 @t30)) % 170.43/170.70 (define @t400 () (or @t386 @t398 @t399)) % 170.43/170.70 (define @t401 () (= @t30 @t135)) % 170.43/170.70 (define @t402 () (or @t386 @t398 @t401)) % 170.43/170.70 (define @t403 () (tptp.mem @t135 @t270)) % 170.43/170.70 (define @t404 () (= @t399 @t403)) % 170.43/170.70 (define @t405 () (= @t403 @t401)) % 170.43/170.70 (define @t406 () (tptp.mem @t135 @t275)) % 170.43/170.70 (define @t407 () (not @t406)) % 170.43/170.70 (define @t408 () (and @t351 @t349 @t376)) % 170.43/170.70 (define @t409 () (or (tptp.mem @t135 @t30) @t403)) % 170.43/170.70 (define @t410 () (= @t406 @t409)) % 170.43/170.70 (define @t411 () (not @t409)) % 170.43/170.70 (define @t412 () (not @t401)) % 170.43/170.70 (define @t413 () (forall @t6 (or @t82 @t136))) % 170.43/170.70 (define @t414 () (= @t397 @t413)) % 170.43/170.70 (define @t415 () (not @t413)) % 170.43/170.70 (define @t416 () (@quantifiers_skolemize @t413 0)) % 170.43/170.70 (define @t417 () (tptp.mem @t416 @t135)) % 170.43/170.70 (define @t418 () (tptp.mem @t416 @t30)) % 170.43/170.70 (define @t419 () (not @t418)) % 170.43/170.70 (define @t420 () (or @t419 @t417)) % 170.43/170.70 (define @t421 () (not @t420)) % 170.43/170.70 (define @t422 () (not @t417)) % 170.43/170.70 (define @t423 () (@list @t420)) % 170.43/170.70 (define @t424 () (= @t416 @t28)) % 170.43/170.70 (define @t425 () (= @t424 @t418)) % 170.43/170.70 (define @t426 () (= @t28 @t416)) % 170.43/170.70 (define @t427 () (= @t418 @t426)) % 170.43/170.70 (define @t428 () (not @t395)) % 170.43/170.70 (define @t429 () (not @t426)) % 170.43/170.70 (define @t430 () (and @t422 @t426 @t395 @t390)) % 170.43/170.70 (define @t431 () (or @t391 (tptp.mem @t388 @t106))) % 170.43/170.70 (define @t432 () (not @t431)) % 170.43/170.70 (define @t433 () (not @t387)) % 170.43/170.70 (define @t434 () (tptp.subq @t135 @t106)) % 170.43/170.70 (define @t435 () (= @t434 @t387)) % 170.43/170.70 (define @t436 () (not @t434)) % 170.43/170.70 (define @t437 () (tptp.subq @t106 @t135)) % 170.43/170.70 (define @t438 () (not @t437)) % 170.43/170.70 (define @t439 () (or @t438 @t436 (= @t106 @t135))) % 170.43/170.70 (define @t440 () (@list @t106 @t135)) % 170.43/170.70 (define @t441 () (or @t438 @t436 @t370)) % 170.43/170.70 (define @t442 () (not @t374)) % 170.43/170.70 (define @t443 () (not @t137)) % 170.43/170.70 (define @t444 () (= @t437 @t137)) % 170.43/170.70 (define @t445 () (not @t108)) % 170.43/170.70 (define @t446 () (or @t445 (tptp.mem @t106 @t38))) % 170.43/170.70 (define @t447 () (not @t446)) % 170.43/170.70 (define @t448 () (not @t105)) % 170.43/170.70 (define @t449 () (tptp.mem tptp.e @t38)) % 170.43/170.70 (define @t450 () (tptp.mem tptp.e @t104)) % 170.43/170.70 (define @t451 () (not @t450)) % 170.43/170.70 (define @t452 () (or @t451 @t449)) % 170.43/170.70 (define @t453 () (tptp.subq tptp.e tptp.e)) % 170.43/170.70 (define @t454 () (forall @t6 (or @t65 @t64))) % 170.43/170.70 (define @t455 () (= @t453 @t454)) % 170.43/170.70 (define @t456 () (= @t453 @t450)) % 170.43/170.70 (define @t457 () (tptp.mem tptp.e @t32)) % 170.43/170.70 (define @t458 () (tptp.mem tptp.e @t37)) % 170.43/170.70 (define @t459 () (or @t458 @t457)) % 170.43/170.70 (define @t460 () (= @t449 @t459)) % 170.43/170.70 (define @t461 () (@list tptp.e @t29)) % 170.43/170.70 (define @t462 () (forall @t6 (or @t65 @t324))) % 170.43/170.70 (define @t463 () (@quantifiers_skolemize @t462 0)) % 170.43/170.70 (define @t464 () (tptp.mem @t463 tptp.e)) % 170.43/170.70 (define @t465 () (not @t464)) % 170.43/170.70 (define @t466 () (or @t465 (tptp.mem @t463 @t29))) % 170.43/170.70 (define @t467 () (not @t466)) % 170.43/170.70 (define @t468 () (not @t462)) % 170.43/170.70 (define @t469 () (tptp.subq tptp.e @t29)) % 170.43/170.70 (define @t470 () (= @t469 @t462)) % 170.43/170.70 (define @t471 () (tptp.mem tptp.e @t33)) % 170.43/170.70 (define @t472 () (= @t469 @t471)) % 170.43/170.70 (define @t473 () (not @t471)) % 170.43/170.70 (define @t474 () (and (tptp.mem tptp.e @t36) @t473)) % 170.43/170.70 (define @t475 () (not @t474)) % 170.43/170.70 (define @t476 () (= @t458 @t474)) % 170.43/170.70 (define @t477 () (not @t458)) % 170.43/170.70 (define @t478 () (= tptp.e @t31)) % 170.43/170.70 (define @t479 () (= @t478 @t457)) % 170.43/170.70 (define @t480 () (not @t101)) % 170.43/170.70 (define @t481 () (not @t478)) % 170.43/170.70 (assume @p1 @t11) % 170.43/170.70 (assume @p2 @t15) % 170.43/170.70 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 170.43/170.70 (assume @p4 (forall @t16 (not (tptp.mem @t4 tptp.e)))) % 170.43/170.70 (assume @p5 @t19) % 170.43/170.70 (assume @p6 (forall @t22 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t21 @t20)))) % 170.43/170.70 (assume @p7 (forall @t22 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t21 (not @t20))))) % 170.43/170.70 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t17)))) % 170.43/170.70 (assume @p9 (forall @t16 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 170.43/170.70 (assume @p10 @t25) % 170.43/170.70 (assume @p11 (forall @t16 (= (tptp.atleast2p @t4) (exists @t26 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t23))))))) % 170.43/170.70 (assume @p12 (forall @t16 (= (tptp.atleast3p @t4) (exists @t26 (and @t13 (tptp.atleast2p @t1) @t27))))) % 170.43/170.70 (assume @p13 (forall @t16 (= (tptp.atleast4p @t4) (exists @t26 (and @t13 (tptp.atleast3p @t1) @t27))))) % 170.43/170.70 (assume @p14 (forall @t16 (= (tptp.atleast5p @t4) (exists @t26 (and @t13 (tptp.atleast4p @t1) @t27))))) % 170.43/170.70 (assume @p15 (forall @t16 (= (tptp.atleast6p @t4) (exists @t26 (and @t13 (tptp.atleast5p @t1) @t27))))) % 170.43/170.70 (assume @p16 (forall @t16 (= (tptp.atleast7p @t4) (exists @t26 (and @t13 (tptp.atleast6p @t1) @t27))))) % 170.43/170.70 (assume @p17 (forall @t16 (= (tptp.atleast8p @t4) (exists @t26 (and @t13 (tptp.atleast7p @t1) @t27))))) % 170.43/170.70 (assume @p18 (forall @t16 (= (tptp.atleast9p @t4) (exists @t26 (and @t13 (tptp.atleast8p @t1) @t27))))) % 170.43/170.70 (assume @p19 (forall @t16 (= (tptp.atleast10p @t4) (exists @t26 (and @t13 (tptp.atleast9p @t1) @t27))))) % 170.43/170.70 (assume @p20 (forall @t16 (= (tptp.atleast11p @t4) (exists @t26 (and @t13 (tptp.atleast10p @t1) @t27))))) % 170.43/170.70 (assume @p21 (forall @t16 (= (tptp.atleast12p @t4) (exists @t26 (and @t13 (tptp.atleast11p @t1) @t27))))) % 170.43/170.70 (assume @p22 (forall @t16 (= (tptp.atleast13p @t4) (exists @t26 (and @t13 (tptp.atleast12p @t1) @t27))))) % 170.43/170.70 (assume @p23 (forall @t16 (= (tptp.atleast14p @t4) (exists @t26 (and @t13 (tptp.atleast13p @t1) @t27))))) % 170.43/170.71 (assume @p24 (forall @t16 (= (tptp.atleast15p @t4) (exists @t26 (and @t13 (tptp.atleast14p @t1) @t27))))) % 170.43/170.71 (assume @p25 (forall @t16 (= (tptp.atleast16p @t4) (exists @t26 (and @t13 (tptp.atleast15p @t1) @t27))))) % 170.43/170.71 (assume @p26 (not @t44)) % 170.43/170.71 (assume @p27 true) % 170.43/170.71 (step @p28 :rule aci_norm :args ((= (or @t27 (or @t45 @t12)) @t46))) % 170.43/170.71 (step @p29 :rule bool-impl-elim :args (@t13 @t12)) % 170.43/170.71 (step @p30 :rule refl :args (@t27)) % 170.43/170.71 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t27 @t14))) % 170.43/170.71 (step @p32 :rule trans :premises (@p31 @p28)) % 170.43/170.71 (step @p33 :rule bool-impl-elim :args (@t8 @t14)) % 170.43/170.71 (step @p34 :rule trans :premises (@p33 @p32)) % 170.43/170.71 (step @p35 :rule cong :premises (@p34) :args (@t15)) % 170.43/170.71 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 170.43/170.71 (step @p37 :rule instantiate :premises (@p36) :args (@t47)) % 170.43/170.71 (step @p38 :rule eq-symm :args (@t18 @t12)) % 170.43/170.71 (step @p39 :rule cong :premises (@p38) :args (@t19)) % 170.43/170.71 (step @p40 :rule eq_resolve :premises 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170.43/170.71 (step-pop @p1438 :rule scope :premises (@p1437)) % 170.43/170.71 (step @p155 :rule process_scope :premises (@p1438) :args (@t94)) % 170.43/170.71 (step @p158 :rule implies_elim :premises (@p155)) % 170.43/170.71 (step @p159 :rule cnf_and_neg :args (@t98)) % 170.43/170.71 (step @p160 :rule resolution :premises (@p159 @p158) :args (true @t98)) % 170.43/170.71 (step @p161 :rule eq_resolve :premises (@p160 @p139)) % 170.43/170.71 (step @p162 :rule chain_m_resolution :premises (@p161 @p135 @p134 @p132 @p131 @p129 @p128) :args (@t88 (@list false false false false true false) (@list @t95 @t92 @t93 @t90 @t86 @t85))) % 170.43/170.71 (step @p163 :rule refl :args (@t99)) % 170.43/170.71 (step @p164 :rule bool-double-not-elim :args (@t83)) % 170.43/170.71 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t100) @t99))) % 170.43/170.71 (assume-push @p1439 @t100) % 170.43/170.71 (step @p167 :rule skolemize :premises (@p1439)) % 170.43/170.71 (step-pop @p1440 :rule 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cnf_or_pos :args (@t459)) % 170.43/170.71 (step @p1389 :rule reordering :premises (@p1388) :args ((or @t457 @t458 (not @t459)))) % 170.43/170.71 (step @p1390 :rule chain_m_resolution :premises (@p1389 @p1387 @p1354) :args (@t457 @t62 (@list @t458 @t459))) % 170.43/170.71 (step @p1391 :rule cnf_equiv_pos2 :args (@t479)) % 170.43/170.71 (step @p1392 :rule reordering :premises (@p1391) :args ((or @t478 (not @t457) (not @t479)))) % 170.43/170.71 (step @p1393 :rule chain_m_resolution :premises (@p1392 @p1390 @p176) :args (@t478 @t76 (@list @t457 @t479))) % 170.43/170.71 (step @p1394 :rule refl :args (@t480)) % 170.43/170.71 (step @p1395 :rule refl :args (@t481)) % 170.43/170.71 (step @p1396 :rule bool-double-not-elim :args (@t77)) % 170.43/170.71 (step @p1397 :rule nary_cong :premises (@p1396 @p1395 @p1394) :args ((or (not @t78) @t481 @t480))) % 170.43/170.71 (assume-push @p1721 @t78) % 170.43/170.71 (assume-push @p1722 @t478) % 170.43/170.71 (assume-push @p1723 @t101) % 170.43/170.71 (step @p65 :rule evaluate :args (@t60)) % 170.43/170.71 (step @p1401 :rule false_intro :premises (@p1721)) % 170.43/170.71 (step @p1402 :rule symm :premises (@p1722)) % 170.43/170.71 (step @p1403 :rule cong :premises (@p503 @p1402) :args (@t101)) % 170.43/170.71 (step @p1404 :rule true_intro :premises (@p1723)) % 170.43/170.71 (step @p1405 :rule symm :premises (@p1404)) % 170.43/170.71 (step @p1406 :rule trans :premises (@p1405 @p1403 @p1401)) % 170.43/170.71 (step @p1407 false :rule eq_resolve :premises (@p1406 @p65)) % 170.43/170.71 (step-pop @p1724 :rule scope :premises (@p1407)) % 170.43/170.71 (step-pop @p1725 :rule scope :premises (@p1724)) % 170.43/170.71 (step-pop @p1726 :rule scope :premises (@p1725)) % 170.43/170.71 (step @p1408 :rule process_scope :premises (@p1726) :args (false)) % 170.43/170.71 (step @p1412 :rule not_and :premises (@p1408)) % 170.43/170.71 (step @p1413 :rule eq_resolve :premises (@p1412 @p1397)) % 170.43/170.71 (step @p1414 false :rule chain_m_resolution :premises (@p1413 @p1393 @p175 @p121) :args (false @t365 (@list @t478 @t101 @t77))) % 170.43/170.71 ) % 170.43/170.71 % SZS output end Proof % 170.43/170.71 % cvc5 exiting %------------------------------------------------------------------------------