%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT387+4 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:30:36 AM UTC 2026 % Result : Theorem 16.01s 16.26s % Output : Proof 16.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT387+4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 07:01:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.01/16.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.01/16.26 --- Run --no-e-matching --full-saturate-quant at 6... % 16.01/16.26 % SZS status Theorem % 16.01/16.26 % SZS output start Proof % 16.01/16.26 ( % 16.01/16.26 (declare-sort $$unsorted 0) % 16.01/16.26 (declare-const tptp.xp $$unsorted) % 16.01/16.26 (declare-const tptp.xP $$unsorted) % 16.01/16.26 (declare-const tptp.xT $$unsorted) % 16.01/16.26 (declare-const tptp.xS $$unsorted) % 16.01/16.26 (declare-const tptp.cS1142 (-> $$unsorted $$unsorted)) % 16.01/16.26 (declare-const tptp.isMonotone0 (-> $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.aFixedPointOf0 (-> $$unsorted $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.xU $$unsorted) % 16.01/16.26 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 16.01/16.26 (declare-const tptp.isOn0 (-> $$unsorted $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.szRzazndt0 (-> $$unsorted $$unsorted)) % 16.01/16.26 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.aCompleteLattice0 (-> $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.isEmpty0 (-> $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.cS1241 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.01/16.26 (declare-const tptp.xf $$unsorted) % 16.01/16.26 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.aLowerBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.aSupremumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.aUpperBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.aInfimumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.01/16.26 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 16.01/16.26 (define @t1 () (@var "W0" $$unsorted)) % 16.01/16.26 (define @t2 () (tptp.aSet0 @t1)) % 16.01/16.26 (define @t3 () (@list @t1)) % 16.01/16.26 (define @t4 () (tptp.aElement0 @t1)) % 16.01/16.26 (define @t5 () (@var "W1" $$unsorted)) % 16.01/16.26 (define @t6 () (tptp.aElement0 @t5)) % 16.01/16.26 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 16.01/16.26 (define @t8 () (@list @t5)) % 16.01/16.26 (define @t9 () (forall @t8 (=> @t7 @t6))) % 16.01/16.26 (define @t10 () (=> @t2 @t9)) % 16.01/16.26 (define @t11 () (forall @t3 @t10)) % 16.01/16.26 (define @t12 () (@var "W2" $$unsorted)) % 16.01/16.26 (define @t13 () (tptp.aElementOf0 @t12 @t1)) % 16.01/16.26 (define @t14 () (@list @t12)) % 16.01/16.26 (define @t15 () (tptp.aSet0 @t5)) % 16.01/16.26 (define @t16 () (tptp.aSubsetOf0 @t5 @t1)) % 16.01/16.26 (define @t17 () (tptp.sdtlseqdt0 @t1 @t5)) % 16.01/16.26 (define @t18 () (and @t4 @t6)) % 16.01/16.26 (define @t19 () (@list @t1 @t5)) % 16.01/16.26 (define @t20 () (tptp.sdtlseqdt0 @t1 @t1)) % 16.01/16.26 (define @t21 () (forall @t3 (=> @t4 @t20))) % 16.01/16.26 (define @t22 () (= @t1 @t5)) % 16.01/16.26 (define @t23 () (tptp.sdtlseqdt0 @t5 @t1)) % 16.01/16.26 (define @t24 () (and @t17 @t23)) % 16.01/16.26 (define @t25 () (=> @t24 @t22)) % 16.01/16.26 (define @t26 () (forall @t19 (=> @t18 @t25))) % 16.01/16.26 (define @t27 () (tptp.sdtlseqdt0 @t5 @t12)) % 16.01/16.26 (define @t28 () (@var "W3" $$unsorted)) % 16.01/16.26 (define @t29 () (tptp.sdtlseqdt0 @t12 @t28)) % 16.01/16.26 (define @t30 () (tptp.aElementOf0 @t28 @t5)) % 16.01/16.26 (define @t31 () (@list @t28)) % 16.01/16.26 (define @t32 () (tptp.aLowerBoundOfIn0 @t12 @t5 @t1)) % 16.01/16.26 (define @t33 () (tptp.sdtlseqdt0 @t28 @t12)) % 16.01/16.26 (define @t34 () (tptp.aUpperBoundOfIn0 @t12 @t5 @t1)) % 16.01/16.26 (define @t35 () (tptp.aInfimumOfIn0 @t12 @t5 @t1)) % 16.01/16.26 (define @t36 () (tptp.aSupremumOfIn0 @t12 @t5 @t1)) % 16.01/16.26 (define @t37 () (= @t12 @t28)) % 16.01/16.26 (define @t38 () (tptp.aSupremumOfIn0 @t28 @t5 @t1)) % 16.01/16.26 (define @t39 () (@list @t12 @t28)) % 16.01/16.26 (define @t40 () (tptp.aFunction0 @t1)) % 16.01/16.26 (define @t41 () (tptp.szDzozmdt0 @t1)) % 16.01/16.26 (define @t42 () (tptp.szRzazndt0 @t1)) % 16.01/16.26 (define @t43 () (tptp.sdtlpdtrp0 @t1 @t5)) % 16.01/16.26 (define @t44 () (tptp.aElementOf0 @t43 @t42)) % 16.01/16.26 (define @t45 () (tptp.aElementOf0 @t5 @t41)) % 16.01/16.26 (define @t46 () (forall @t8 (=> @t45 @t44))) % 16.01/16.26 (define @t47 () (=> @t40 @t46)) % 16.01/16.26 (define @t48 () (forall @t3 @t47)) % 16.01/16.26 (define @t49 () (tptp.szRzazndt0 tptp.xf)) % 16.01/16.26 (define @t50 () (tptp.szDzozmdt0 tptp.xf)) % 16.01/16.26 (define @t51 () (tptp.sdtlpdtrp0 tptp.xf @t1)) % 16.01/16.26 (define @t52 () (tptp.sdtlseqdt0 @t51 (tptp.sdtlpdtrp0 tptp.xf @t5))) % 16.01/16.26 (define @t53 () (=> @t17 @t52)) % 16.01/16.26 (define @t54 () (tptp.aElementOf0 @t5 @t50)) % 16.01/16.26 (define @t55 () (tptp.aElementOf0 @t1 @t50)) % 16.01/16.26 (define @t56 () (and @t55 @t54)) % 16.01/16.26 (define @t57 () (forall @t19 (=> @t56 @t53))) % 16.01/16.26 (define @t58 () (tptp.aFunction0 tptp.xf)) % 16.01/16.26 (define @t59 () (@var "W4" $$unsorted)) % 16.01/16.26 (define @t60 () (tptp.aElementOf0 @t28 @t1)) % 16.01/16.26 (define @t61 () (tptp.aElementOf0 @t12 tptp.xU)) % 16.01/16.26 (define @t62 () (tptp.aElementOf0 @t5 tptp.xU)) % 16.01/16.26 (define @t63 () (tptp.aSet0 tptp.xU)) % 16.01/16.26 (define @t64 () (tptp.cS1142 tptp.xf)) % 16.01/16.26 (define @t65 () (tptp.aElementOf0 @t1 tptp.xS)) % 16.01/16.26 (define @t66 () (tptp.aFixedPointOf0 @t1 tptp.xf)) % 16.01/16.26 (define @t67 () (= @t51 @t1)) % 16.01/16.26 (define @t68 () (and @t55 @t67)) % 16.01/16.26 (define @t69 () (or @t68 @t66)) % 16.01/16.26 (define @t70 () (=> @t69 @t65)) % 16.01/16.26 (define @t71 () (and @t55 @t67 @t66)) % 16.01/16.26 (define @t72 () (=> @t65 @t71)) % 16.01/16.26 (define @t73 () (and @t72 @t70)) % 16.01/16.26 (define @t74 () (forall @t3 @t73)) % 16.01/16.26 (define @t75 () (tptp.aElementOf0 @t1 tptp.xT)) % 16.01/16.26 (define @t76 () (tptp.cS1241 tptp.xU tptp.xf tptp.xT)) % 16.01/16.26 (define @t77 () (= tptp.xP @t76)) % 16.01/16.26 (define @t78 () (tptp.aElementOf0 @t1 tptp.xP)) % 16.01/16.26 (define @t79 () (tptp.aUpperBoundOfIn0 @t1 tptp.xT tptp.xU)) % 16.01/16.26 (define @t80 () (tptp.aElementOf0 @t5 tptp.xT)) % 16.01/16.26 (define @t81 () (forall @t8 (=> @t80 @t23))) % 16.01/16.26 (define @t82 () (or @t81 @t79)) % 16.01/16.26 (define @t83 () (tptp.sdtlseqdt0 @t51 @t1)) % 16.01/16.26 (define @t84 () (tptp.aElementOf0 @t1 tptp.xU)) % 16.01/16.26 (define @t85 () (and @t84 @t83 @t82)) % 16.01/16.26 (define @t86 () (=> @t85 @t78)) % 16.01/16.26 (define @t87 () (and @t84 @t83 @t81 @t79)) % 16.01/16.26 (define @t88 () (=> @t78 @t87)) % 16.01/16.26 (define @t89 () (and @t88 @t86)) % 16.01/16.26 (define @t90 () (forall @t3 @t89)) % 16.01/16.26 (define @t91 () (tptp.sdtlseqdt0 @t1 tptp.xp)) % 16.01/16.26 (define @t92 () (tptp.aLowerBoundOfIn0 @t1 tptp.xP tptp.xU)) % 16.01/16.26 (define @t93 () (tptp.aElementOf0 @t5 tptp.xP)) % 16.01/16.26 (define @t94 () (forall @t8 (=> @t93 @t17))) % 16.01/16.26 (define @t95 () (and @t84 @t94)) % 16.01/16.26 (define @t96 () (or @t95 @t92)) % 16.01/16.26 (define @t97 () (=> @t96 @t91)) % 16.01/16.26 (define @t98 () (forall @t3 @t97)) % 16.01/16.26 (define @t99 () (tptp.sdtlseqdt0 tptp.xp @t1)) % 16.01/16.26 (define @t100 () (forall @t3 (=> @t78 @t99))) % 16.01/16.26 (define @t101 () (tptp.aElementOf0 tptp.xp tptp.xU)) % 16.01/16.26 (define @t102 () (tptp.sdtlpdtrp0 tptp.xf tptp.xp)) % 16.01/16.26 (define @t103 () (tptp.aUpperBoundOfIn0 @t102 tptp.xT tptp.xU)) % 16.01/16.26 (define @t104 () (tptp.aLowerBoundOfIn0 @t102 tptp.xP tptp.xU)) % 16.01/16.26 (define @t105 () (tptp.aSupremumOfIn0 tptp.xp tptp.xT tptp.xS)) % 16.01/16.26 (define @t106 () (tptp.aUpperBoundOfIn0 @t1 tptp.xT tptp.xS)) % 16.01/16.26 (define @t107 () (and @t65 @t81 @t106)) % 16.01/16.26 (define @t108 () (=> @t107 @t99)) % 16.01/16.26 (define @t109 () (forall @t3 @t108)) % 16.01/16.26 (define @t110 () (tptp.aUpperBoundOfIn0 tptp.xp tptp.xT tptp.xS)) % 16.01/16.26 (define @t111 () (forall @t3 (=> @t75 @t91))) % 16.01/16.26 (define @t112 () (or @t111 @t110)) % 16.01/16.26 (define @t113 () (and @t112 @t109)) % 16.01/16.26 (define @t114 () (or @t113 @t105)) % 16.01/16.26 (define @t115 () (tptp.aFixedPointOf0 tptp.xp tptp.xf)) % 16.01/16.26 (define @t116 () (tptp.aElementOf0 tptp.xp @t50)) % 16.01/16.26 (define @t117 () (and @t116 (= @t102 tptp.xp))) % 16.01/16.26 (define @t118 () (or @t117 @t115)) % 16.01/16.26 (define @t119 () (and @t118 @t114)) % 16.01/16.26 (define @t120 () (not @t119)) % 16.01/16.26 (define @t121 () (@var "BOUND_VARIABLE_8421" $$unsorted)) % 16.01/16.26 (define @t122 () (tptp.aElementOf0 @t121 tptp.xP)) % 16.01/16.26 (define @t123 () (tptp.aUpperBoundOfIn0 @t121 tptp.xT tptp.xU)) % 16.01/16.26 (define @t124 () (not @t123)) % 16.01/16.26 (define @t125 () (not @t80)) % 16.01/16.26 (define @t126 () (not (forall @t8 (or @t125 (tptp.sdtlseqdt0 @t5 @t121))))) % 16.01/16.26 (define @t127 () (and @t126 @t124)) % 16.01/16.26 (define @t128 () (not (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf @t121) @t121))) % 16.01/16.26 (define @t129 () (tptp.aElementOf0 @t121 tptp.xU)) % 16.01/16.26 (define @t130 () (not @t129)) % 16.01/16.26 (define @t131 () (or @t130 @t128 @t127 @t122)) % 16.01/16.26 (define @t132 () (forall (@list @t121) @t131)) % 16.01/16.26 (define @t133 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 16.01/16.26 (define @t134 () (tptp.aUpperBoundOfIn0 @t133 tptp.xT tptp.xU)) % 16.01/16.26 (define @t135 () (@var "BOUND_VARIABLE_8440" $$unsorted)) % 16.01/16.26 (define @t136 () (or (not (tptp.aElementOf0 @t135 tptp.xT)) (tptp.sdtlseqdt0 @t135 @t133))) % 16.01/16.26 (define @t137 () (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf @t133) @t133)) % 16.01/16.26 (define @t138 () (tptp.aElementOf0 @t133 tptp.xU)) % 16.01/16.26 (define @t139 () (and @t138 @t137 @t136 @t134)) % 16.01/16.26 (define @t140 () (tptp.aElementOf0 @t133 tptp.xP)) % 16.01/16.26 (define @t141 () (not @t140)) % 16.01/16.26 (define @t142 () (or @t141 @t139)) % 16.01/16.26 (define @t143 () (forall (@list @t133 @t135) @t142)) % 16.01/16.26 (define @t144 () (@list @t135)) % 16.01/16.26 (define @t145 () (forall @t144 @t142)) % 16.01/16.26 (define @t146 () (@list @t133)) % 16.01/16.26 (define @t147 () (forall @t144 @t134)) % 16.01/16.26 (define @t148 () (forall @t144 @t136)) % 16.01/16.26 (define @t149 () (@list @t5)) % 16.01/16.26 (define @t150 () (forall @t144 @t137)) % 16.01/16.26 (define @t151 () (forall @t144 @t138)) % 16.01/16.26 (define @t152 () (and @t151 @t150 @t148 @t147)) % 16.01/16.26 (define @t153 () (forall @t144 @t139)) % 16.01/16.26 (define @t154 () (or @t141 @t153)) % 16.01/16.26 (define @t155 () (forall @t146 (or @t141 (and @t138 @t137 (forall @t8 (or @t125 (tptp.sdtlseqdt0 @t5 @t133))) @t134)))) % 16.01/16.26 (define @t156 () (forall @t8 (or @t125 @t23))) % 16.01/16.26 (define @t157 () (not @t156)) % 16.01/16.26 (define @t158 () (and @t157 (not @t79))) % 16.01/16.26 (define @t159 () (not @t83)) % 16.01/16.26 (define @t160 () (not @t84)) % 16.01/16.26 (define @t161 () (or @t160 @t159 @t158 @t78)) % 16.01/16.26 (define @t162 () (forall @t3 @t161)) % 16.01/16.26 (define @t163 () (@list @t1)) % 16.01/16.26 (define @t164 () (and @t84 @t83 @t156 @t79)) % 16.01/16.26 (define @t165 () (not @t78)) % 16.01/16.26 (define @t166 () (or @t165 @t164)) % 16.01/16.26 (define @t167 () (forall @t3 @t166)) % 16.01/16.26 (define @t168 () (and @t167 @t162)) % 16.01/16.26 (define @t169 () (or @t156 @t79)) % 16.01/16.26 (define @t170 () (not @t169)) % 16.01/16.26 (define @t171 () (or @t160 @t159 @t170)) % 16.01/16.26 (define @t172 () (and @t84 @t83 @t169)) % 16.01/16.26 (define @t173 () (and (=> @t78 @t164) (=> @t172 @t78))) % 16.01/16.26 (define @t174 () (forall @t3 (or (not (tptp.aElementOf0 @t1 @t64)) @t157 (not (tptp.aUpperBoundOfIn0 @t1 tptp.xT @t64)) @t99))) % 16.01/16.26 (define @t175 () (@quantifiers_skolemize @t174 0)) % 16.01/16.26 (define @t176 () (@list @t175)) % 16.01/16.26 (define @t177 () (or @t165 @t99)) % 16.01/16.26 (define @t178 () (forall @t3 (or (not @t75) @t91))) % 16.01/16.26 (define @t179 () (@quantifiers_skolemize @t178 0)) % 16.01/16.26 (define @t180 () (@list @t102)) % 16.01/16.26 (define @t181 () (tptp.aUpperBoundOfIn0 @t102 tptp.xT @t49)) % 16.01/16.26 (define @t182 () (not @t181)) % 16.01/16.26 (define @t183 () (and (not (forall @t8 (or @t125 (tptp.sdtlseqdt0 @t5 @t102)))) @t182)) % 16.01/16.26 (define @t184 () (not @t183)) % 16.01/16.26 (define @t185 () (@list false)) % 16.01/16.26 (define @t186 () (not @t17)) % 16.01/16.26 (define @t187 () (not @t54)) % 16.01/16.26 (define @t188 () (not @t55)) % 16.01/16.26 (define @t189 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 16.01/16.26 (define @t190 () (tptp.aElementOf0 (tptp.sdtlpdtrp0 @t1 @t189) @t42)) % 16.01/16.26 (define @t191 () (not (tptp.aElementOf0 @t189 @t41))) % 16.01/16.26 (define @t192 () (not @t40)) % 16.01/16.26 (define @t193 () (or @t191 @t190)) % 16.01/16.26 (define @t194 () (or @t192 @t193)) % 16.01/16.26 (define @t195 () (forall (@list @t1 @t189) @t194)) % 16.01/16.26 (define @t196 () (@list @t189)) % 16.01/16.26 (define @t197 () (forall @t196 @t194)) % 16.01/16.26 (define @t198 () (forall @t196 @t193)) % 16.01/16.26 (define @t199 () (or @t192 @t198)) % 16.01/16.26 (define @t200 () (forall @t8 (or (not @t45) @t44))) % 16.01/16.26 (define @t201 () (tptp.aElementOf0 @t102 @t49)) % 16.01/16.26 (define @t202 () (not @t116)) % 16.01/16.26 (define @t203 () (not @t58)) % 16.01/16.26 (define @t204 () (or @t203 @t202 @t201)) % 16.01/16.26 (define @t205 () (@list false false false)) % 16.01/16.26 (define @t206 () (tptp.aElementOf0 @t102 @t50)) % 16.01/16.26 (define @t207 () (not @t92)) % 16.01/16.26 (define @t208 () (not @t93)) % 16.01/16.26 (define @t209 () (or @t208 @t17)) % 16.01/16.26 (define @t210 () (forall @t8 @t209)) % 16.01/16.26 (define @t211 () (not @t210)) % 16.01/16.26 (define @t212 () (or @t160 @t211)) % 16.01/16.26 (define @t213 () (and @t212 @t207)) % 16.01/16.26 (define @t214 () (or @t213 @t91)) % 16.01/16.26 (define @t215 () (and @t84 @t210)) % 16.01/16.26 (define @t216 () (or @t215 @t92)) % 16.01/16.26 (define @t217 () (tptp.cS1241 @t49 tptp.xf tptp.xT)) % 16.01/16.26 (define @t218 () (tptp.aLowerBoundOfIn0 @t102 @t217 @t49)) % 16.01/16.26 (define @t219 () (not @t218)) % 16.01/16.26 (define @t220 () (not @t201)) % 16.01/16.26 (define @t221 () (and (or @t220 (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t217)) (tptp.sdtlseqdt0 @t102 @t5))))) @t219)) % 16.01/16.27 (define @t222 () (not @t221)) % 16.01/16.27 (define @t223 () (tptp.sdtlseqdt0 @t102 tptp.xp)) % 16.01/16.27 (define @t224 () (or @t221 @t223)) % 16.01/16.27 (define @t225 () (@list true false)) % 16.01/16.27 (define @t226 () (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf @t102) @t102)) % 16.01/16.27 (define @t227 () (not @t223)) % 16.01/16.27 (define @t228 () (not @t206)) % 16.01/16.27 (define @t229 () (or @t228 @t202 @t227 @t226)) % 16.01/16.27 (define @t230 () (tptp.aElementOf0 @t102 @t217)) % 16.01/16.27 (define @t231 () (not @t226)) % 16.01/16.27 (define @t232 () (or @t220 @t231 @t183 @t230)) % 16.01/16.27 (define @t233 () (not @t23)) % 16.01/16.27 (define @t234 () (not @t6)) % 16.01/16.27 (define @t235 () (not @t4)) % 16.01/16.27 (define @t236 () (or @t186 @t233 @t22)) % 16.01/16.27 (define @t237 () (tptp.sdtlseqdt0 tptp.xp @t102)) % 16.01/16.27 (define @t238 () (not @t230)) % 16.01/16.27 (define @t239 () (or @t238 @t237)) % 16.01/16.27 (define @t240 () (@list false false)) % 16.01/16.27 (define @t241 () (@var "BOUND_VARIABLE_7779" $$unsorted)) % 16.01/16.27 (define @t242 () (tptp.aElement0 @t241)) % 16.01/16.27 (define @t243 () (not (tptp.aElementOf0 @t241 @t1))) % 16.01/16.27 (define @t244 () (not @t2)) % 16.01/16.27 (define @t245 () (or @t243 @t242)) % 16.01/16.27 (define @t246 () (or @t244 @t245)) % 16.01/16.27 (define @t247 () (forall (@list @t1 @t241) @t246)) % 16.01/16.27 (define @t248 () (@list @t241)) % 16.01/16.27 (define @t249 () (forall @t248 @t246)) % 16.01/16.27 (define @t250 () (forall @t248 @t245)) % 16.01/16.27 (define @t251 () (or @t244 @t250)) % 16.01/16.27 (define @t252 () (forall @t8 (or (not @t7) @t6))) % 16.01/16.27 (define @t253 () (tptp.aElement0 @t102)) % 16.01/16.27 (define @t254 () (tptp.aSet0 @t49)) % 16.01/16.27 (define @t255 () (not @t254)) % 16.01/16.27 (define @t256 () (or @t255 @t220 @t253)) % 16.01/16.27 (define @t257 () (tptp.aElement0 tptp.xp)) % 16.01/16.27 (define @t258 () (tptp.aElementOf0 tptp.xp @t49)) % 16.01/16.27 (define @t259 () (not @t258)) % 16.01/16.27 (define @t260 () (or @t255 @t259 @t257)) % 16.01/16.27 (define @t261 () (= tptp.xp @t102)) % 16.01/16.27 (define @t262 () (not @t237)) % 16.01/16.27 (define @t263 () (not @t253)) % 16.01/16.27 (define @t264 () (not @t257)) % 16.01/16.27 (define @t265 () (or @t264 @t263 @t262 @t227 @t261)) % 16.01/16.27 (define @t266 () (tptp.aElementOf0 tptp.xp @t217)) % 16.01/16.27 (define @t267 () (or (not (tptp.aElementOf0 @t179 tptp.xT)) (tptp.sdtlseqdt0 @t179 tptp.xp))) % 16.01/16.27 (define @t268 () (and @t258 @t223 @t267 (tptp.aUpperBoundOfIn0 tptp.xp tptp.xT @t49))) % 16.01/16.27 (define @t269 () (not @t266)) % 16.01/16.27 (define @t270 () (or @t269 @t268)) % 16.01/16.27 (define @t271 () (not @t267)) % 16.01/16.27 (define @t272 () (not @t178)) % 16.01/16.27 (define @t273 () (or @t178 (tptp.aUpperBoundOfIn0 tptp.xp tptp.xT @t64))) % 16.01/16.27 (define @t274 () (and @t116 @t261)) % 16.01/16.27 (define @t275 () (or @t274 @t115)) % 16.01/16.27 (define @t276 () (not @t106)) % 16.01/16.27 (define @t277 () (not @t65)) % 16.01/16.27 (define @t278 () (or @t277 @t157 @t276 @t99)) % 16.01/16.27 (define @t279 () (forall @t3 @t278)) % 16.01/16.27 (define @t280 () (or @t178 @t110)) % 16.01/16.27 (define @t281 () (and @t280 @t279)) % 16.01/16.27 (define @t282 () (or @t281 @t105)) % 16.01/16.27 (define @t283 () (and @t275 @t282)) % 16.01/16.27 (define @t284 () (or @t277 @t157 @t276)) % 16.01/16.27 (define @t285 () (and @t65 @t156 @t106)) % 16.01/16.27 (define @t286 () (and @t273 @t174)) % 16.01/16.27 (define @t287 () (or @t286 (tptp.aSupremumOfIn0 tptp.xp tptp.xT @t64))) % 16.01/16.27 (define @t288 () (@list true)) % 16.01/16.27 (define @t289 () (not @t174)) % 16.01/16.27 (define @t290 () (tptp.sdtlseqdt0 tptp.xp @t175)) % 16.01/16.27 (define @t291 () (forall @t8 (or @t125 (tptp.sdtlseqdt0 @t5 @t175)))) % 16.01/16.27 (define @t292 () (not @t291)) % 16.01/16.27 (define @t293 () (tptp.aElementOf0 @t175 @t64)) % 16.01/16.27 (define @t294 () (not @t293)) % 16.01/16.27 (define @t295 () (or @t294 @t292 (not (tptp.aUpperBoundOfIn0 @t175 tptp.xT @t64)) @t290)) % 16.01/16.27 (define @t296 () (not @t295)) % 16.01/16.27 (define @t297 () (@list @t295)) % 16.01/16.27 (define @t298 () (tptp.aElementOf0 @t175 @t217)) % 16.01/16.27 (define @t299 () (not @t298)) % 16.01/16.27 (define @t300 () (or @t299 @t290)) % 16.01/16.27 (define @t301 () (and @t292 (not (tptp.aUpperBoundOfIn0 @t175 tptp.xT @t49)))) % 16.01/16.27 (define @t302 () (not @t301)) % 16.01/16.27 (define @t303 () (@var "BOUND_VARIABLE_8362" $$unsorted)) % 16.01/16.27 (define @t304 () (tptp.aElementOf0 @t303 tptp.xS)) % 16.01/16.27 (define @t305 () (and (or (not (tptp.aElementOf0 @t303 @t50)) (not (= @t303 (tptp.sdtlpdtrp0 tptp.xf @t303)))) (not (tptp.aFixedPointOf0 @t303 tptp.xf)))) % 16.01/16.27 (define @t306 () (or @t305 @t304)) % 16.01/16.27 (define @t307 () (forall (@list @t303) @t306)) % 16.01/16.27 (define @t308 () (@var "BOUND_VARIABLE_8350" $$unsorted)) % 16.01/16.27 (define @t309 () (and (tptp.aElementOf0 @t308 @t50) (= @t308 (tptp.sdtlpdtrp0 tptp.xf @t308)) (tptp.aFixedPointOf0 @t308 tptp.xf))) % 16.01/16.27 (define @t310 () (tptp.aElementOf0 @t308 tptp.xS)) % 16.01/16.27 (define @t311 () (not @t310)) % 16.01/16.27 (define @t312 () (or @t311 @t309)) % 16.01/16.27 (define @t313 () (forall (@list @t308) @t312)) % 16.01/16.27 (define @t314 () (not @t66)) % 16.01/16.27 (define @t315 () (= @t1 @t51)) % 16.01/16.27 (define @t316 () (or (and (or @t188 (not @t315)) @t314) @t65)) % 16.01/16.27 (define @t317 () (forall @t3 @t316)) % 16.01/16.27 (define @t318 () (and @t55 @t315 @t66)) % 16.01/16.27 (define @t319 () (or @t277 @t318)) % 16.01/16.27 (define @t320 () (forall @t3 @t319)) % 16.01/16.27 (define @t321 () (and @t320 @t317)) % 16.01/16.27 (define @t322 () (and @t55 @t315)) % 16.01/16.27 (define @t323 () (or @t322 @t66)) % 16.01/16.27 (define @t324 () (and (=> @t65 @t318) (=> @t323 @t65))) % 16.01/16.27 (define @t325 () (tptp.sdtlpdtrp0 tptp.xf @t175)) % 16.01/16.27 (define @t326 () (= @t175 @t325)) % 16.01/16.27 (define @t327 () (tptp.aElementOf0 @t175 @t50)) % 16.01/16.27 (define @t328 () (and @t327 @t326 (tptp.aFixedPointOf0 @t175 tptp.xf))) % 16.01/16.27 (define @t329 () (or @t294 @t328)) % 16.01/16.27 (define @t330 () (not @t328)) % 16.01/16.27 (define @t331 () (@list @t328)) % 16.01/16.27 (define @t332 () (= @t49 @t50)) % 16.01/16.27 (define @t333 () (tptp.aElementOf0 @t175 @t49)) % 16.01/16.27 (define @t334 () (and @t332 @t327)) % 16.01/16.27 (define @t335 () (tptp.sdtlseqdt0 @t325 @t175)) % 16.01/16.27 (define @t336 () (not @t335)) % 16.01/16.27 (define @t337 () (not @t333)) % 16.01/16.27 (define @t338 () (or @t337 @t336 @t301 @t298)) % 16.01/16.27 (define @t339 () (tptp.sdtlseqdt0 @t175 @t175)) % 16.01/16.27 (define @t340 () (not @t339)) % 16.01/16.27 (define @t341 () (not @t326)) % 16.01/16.27 (define @t342 () (and @t326 @t336)) % 16.01/16.27 (define @t343 () (tptp.aElement0 @t175)) % 16.01/16.27 (define @t344 () (or @t255 @t337 @t343)) % 16.01/16.27 (define @t345 () (not @t343)) % 16.01/16.27 (define @t346 () (or @t345 @t339)) % 16.01/16.27 (assume @p1 (forall @t3 (=> @t2 true))) % 16.01/16.27 (assume @p2 (forall @t3 (=> @t4 true))) % 16.01/16.27 (assume @p3 @t11) % 16.01/16.27 (assume @p4 (forall @t3 (=> @t2 (= (tptp.isEmpty0 @t1) (not (exists @t8 @t7)))))) % 16.01/16.27 (assume @p5 (forall @t3 (=> @t2 (forall @t8 (= @t16 (and @t15 (forall @t14 (=> (tptp.aElementOf0 @t12 @t5) @t13)))))))) % 16.01/16.27 (assume @p6 (forall @t19 (=> @t18 (=> @t17 true)))) % 16.01/16.27 (assume @p7 @t21) % 16.01/16.27 (assume @p8 @t26) % 16.01/16.27 (assume @p9 (forall (@list @t1 @t5 @t12) (=> (and @t4 @t6 (tptp.aElement0 @t12)) (=> (and @t17 @t27) (tptp.sdtlseqdt0 @t1 @t12))))) % 16.01/16.27 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t14 (= @t32 (and @t13 (forall @t31 (=> @t30 @t29)))))))))) % 16.01/16.27 (assume @p11 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t14 (= @t34 (and @t13 (forall @t31 (=> @t30 @t33)))))))))) % 16.01/16.27 (assume @p12 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t14 (= @t35 (and @t13 @t32 (forall @t31 (=> (tptp.aLowerBoundOfIn0 @t28 @t5 @t1) @t33)))))))))) % 16.01/16.27 (assume @p13 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t14 (= @t36 (and @t13 @t34 (forall @t31 (=> (tptp.aUpperBoundOfIn0 @t28 @t5 @t1) @t29)))))))))) % 16.01/16.27 (assume @p14 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t39 (=> (and @t36 @t38) @t37))))))) % 16.01/16.27 (assume @p15 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t39 (=> (and @t35 (tptp.aInfimumOfIn0 @t28 @t5 @t1)) @t37))))))) % 16.01/16.27 (assume @p16 (forall @t3 (= (tptp.aCompleteLattice0 @t1) (and @t2 (forall @t8 (=> @t16 (exists @t14 (and @t35 (exists @t31 @t38))))))))) % 16.01/16.27 (assume @p17 (forall @t3 (=> @t40 true))) % 16.01/16.27 (assume @p18 (forall @t3 (=> @t40 (tptp.aSet0 @t41)))) % 16.01/16.27 (assume @p19 (forall @t3 (=> @t40 (tptp.aSet0 @t42)))) % 16.01/16.27 (assume @p20 (forall @t19 (=> (and @t40 @t15) (= (tptp.isOn0 @t1 @t5) (and (= @t41 @t42) (= @t42 @t5)))))) % 16.01/16.27 (assume @p21 @t48) % 16.01/16.27 (assume @p22 (forall @t3 (=> @t40 (forall @t8 (= (tptp.aFixedPointOf0 @t5 @t1) (and @t45 (= @t43 @t5))))))) % 16.01/16.27 (assume @p23 (forall @t3 (=> @t40 (= (tptp.isMonotone0 @t1) (forall (@list @t5 @t12) (=> (and @t45 (tptp.aElementOf0 @t12 @t41)) (=> @t27 (tptp.sdtlseqdt0 @t43 (tptp.sdtlpdtrp0 @t1 @t12))))))))) % 16.01/16.27 (assume @p24 (and @t63 (forall @t3 (=> (or (and @t2 (forall @t8 (=> @t7 @t62))) (tptp.aSubsetOf0 @t1 tptp.xU)) (exists @t8 (and @t62 @t62 (forall @t14 (=> @t13 @t27)) (tptp.aLowerBoundOfIn0 @t5 @t1 tptp.xU) (forall @t14 (=> (or (and @t61 (forall @t31 (=> @t60 @t29))) (tptp.aLowerBoundOfIn0 @t12 @t1 tptp.xU)) (tptp.sdtlseqdt0 @t12 @t5))) (tptp.aInfimumOfIn0 @t5 @t1 tptp.xU) (exists @t14 (and @t61 @t61 (forall @t31 (=> @t60 @t33)) (tptp.aUpperBoundOfIn0 @t12 @t1 tptp.xU) (forall @t31 (=> (or (and (tptp.aElementOf0 @t28 tptp.xU) (forall (@list @t59) (=> (tptp.aElementOf0 @t59 @t1) (tptp.sdtlseqdt0 @t59 @t28)))) (tptp.aUpperBoundOfIn0 @t28 @t1 tptp.xU)) @t29)) (tptp.aSupremumOfIn0 @t12 @t1 tptp.xU))))))) (tptp.aCompleteLattice0 tptp.xU) @t58 @t57 (tptp.isMonotone0 tptp.xf) (= @t50 @t49) (= @t49 tptp.xU) (tptp.isOn0 tptp.xf tptp.xU))) % 16.01/16.27 (assume @p25 (and (tptp.aSet0 tptp.xS) @t74 (= tptp.xS @t64))) % 16.01/16.27 (assume @p26 (and (tptp.aSet0 tptp.xT) (forall @t3 (=> @t75 @t65)) (tptp.aSubsetOf0 tptp.xT tptp.xS))) % 16.01/16.27 (assume @p27 (and (tptp.aSet0 tptp.xP) @t90 @t77)) % 16.01/16.27 (assume @p28 (and @t101 @t101 @t100 (tptp.aLowerBoundOfIn0 tptp.xp tptp.xP tptp.xU) @t98 (tptp.aInfimumOfIn0 tptp.xp tptp.xP tptp.xU))) % 16.01/16.27 (assume @p29 (and (forall @t3 (=> @t78 (tptp.sdtlseqdt0 @t102 @t1))) @t104 (forall @t3 (=> @t75 (tptp.sdtlseqdt0 @t1 @t102))) @t103)) % 16.01/16.27 (assume @p30 @t120) % 16.01/16.27 (assume @p31 true) % 16.01/16.27 (step @p32 :rule refl :args (tptp.xT)) % 16.01/16.27 (step @p33 :rule refl :args (tptp.xf)) % 16.01/16.27 (step @p34 :rule and_elim :premises (@p24) :args (7)) % 16.01/16.27 (step @p35 :rule symm :premises (@p34)) % 16.01/16.27 (step @p36 :rule cong :premises (@p35 @p33 @p32) :args (@t76)) % 16.01/16.27 (step @p37 :rule refl :args (tptp.xP)) % 16.01/16.27 (step @p38 :rule cong :premises (@p37 @p36) :args (@t77)) % 16.01/16.27 (step @p39 :rule and_elim :premises (@p27) :args (2)) % 16.01/16.27 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 16.01/16.27 (step @p41 :rule refl :args (@t121)) % 16.01/16.27 (step @p42 :rule cong :premises (@p41 @p40) :args (@t122)) % 16.01/16.27 (step @p43 :rule cong :premises (@p41 @p32 @p35) :args (@t123)) % 16.01/16.27 (step @p44 :rule cong :premises (@p43) :args (@t124)) % 16.01/16.27 (step @p45 :rule refl :args (@t126)) % 16.01/16.27 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t127)) % 16.01/16.27 (step @p47 :rule refl :args (@t128)) % 16.01/16.27 (step @p48 :rule cong :premises (@p41 @p35) :args (@t129)) % 16.01/16.27 (step @p49 :rule cong :premises (@p48) :args (@t130)) % 16.01/16.27 (step @p50 :rule nary_cong :premises (@p49 @p47 @p46 @p42) :args (@t131)) % 16.01/16.27 (step @p51 :rule cong :premises (@p50) :args (@t132)) % 16.01/16.27 (step @p52 :rule refl :args (@t133)) % 16.01/16.27 (step @p53 :rule cong :premises (@p52 @p32 @p35) :args (@t134)) % 16.01/16.27 (step @p54 :rule refl :args (@t136)) % 16.01/16.27 (step @p55 :rule refl :args (@t137)) % 16.01/16.27 (step @p56 :rule cong :premises (@p52 @p35) :args (@t138)) % 16.01/16.27 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54 @p53) :args (@t139)) % 16.01/16.27 (step @p58 :rule cong :premises (@p52 @p40) :args (@t140)) % 16.01/16.27 (step @p59 :rule cong :premises (@p58) :args (@t141)) % 16.01/16.27 (step @p60 :rule nary_cong :premises (@p59 @p57) :args (@t142)) % 16.01/16.27 (step @p61 :rule cong :premises (@p60) :args (@t143)) % 16.01/16.27 (step @p62 :rule nary_cong :premises (@p61 @p51) :args ((and @t143 @t132))) % 16.01/16.27 (step @p63 :rule refl :args (@t132)) % 16.01/16.27 (step @p64 :rule quant-merge-prenex :args ((= (forall @t146 @t145) @t143))) % 16.01/16.27 (step @p65 :rule quant-unused-vars :args ((= @t147 @t134))) % 16.01/16.27 (step @p66 :rule alpha_equiv :args (@t148 (@list @t135) @t149)) % 16.01/16.27 (step @p67 :rule quant-unused-vars :args ((= @t150 @t137))) % 16.01/16.27 (step @p68 :rule quant-unused-vars :args ((= @t151 @t138))) % 16.01/16.27 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66 @p65) :args (@t152)) % 16.01/16.27 (step @p70 :rule quant-miniscope-and :args ((= @t153 @t152))) % 16.01/16.27 (step @p71 :rule trans :premises (@p70 @p69)) % 16.01/16.27 (step @p72 :rule refl :args (@t141)) % 16.01/16.27 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t154)) % 16.01/16.27 (step @p74 :rule quant-miniscope-or :args ((= @t145 @t154))) % 16.01/16.27 (step @p75 :rule trans :premises (@p74 @p73)) % 16.01/16.27 (step @p76 :rule symm :premises (@p75)) % 16.01/16.27 (step @p77 :rule cong :premises (@p76) :args (@t155)) % 16.01/16.27 (step @p78 :rule trans :premises (@p77 @p64)) % 16.01/16.27 (step @p79 :rule nary_cong :premises (@p78 @p63) :args ((and @t155 @t132))) % 16.01/16.27 (step @p80 :rule alpha_equiv :args (@t162 @t163 (@list @t121))) % 16.01/16.27 (step @p81 :rule alpha_equiv :args (@t167 @t163 (@list @t133))) % 16.01/16.27 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t168)) % 16.01/16.27 (step @p83 :rule quant-miniscope-and :args ((= (forall @t3 (and @t166 @t161)) @t168))) % 16.01/16.27 (step @p84 :rule trans :premises (@p83 @p82)) % 16.01/16.27 (step @p85 :rule trans :premises (@p84 @p79)) % 16.01/16.27 (step @p86 :rule aci_norm :args ((= (or (or @t160 @t159 @t158) @t78) @t161))) % 16.01/16.27 (step @p87 :rule refl :args (@t78)) % 16.01/16.27 (step @p88 :rule bool-or-de-morgan :args (@t156 @t79 false)) % 16.01/16.27 (step @p89 :rule refl :args (@t159)) % 16.01/16.27 (step @p90 :rule refl :args (@t160)) % 16.01/16.27 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t171)) % 16.01/16.27 (step @p92 :rule aci_norm :args ((= (or @t160 (or @t159 @t170)) @t171))) % 16.01/16.27 (step @p93 :rule bool-and-de-morgan :args (@t83 @t169 true)) % 16.01/16.27 (step @p94 :rule nary_cong :premises (@p90 @p93) :args ((or @t160 (not (and @t83 @t169))))) % 16.01/16.27 (step @p95 :rule bool-and-de-morgan :args (@t84 @t83 (and @t169))) % 16.01/16.27 (step @p96 :rule trans :premises (@p95 @p94)) % 16.01/16.27 (step @p97 :rule trans :premises (@p96 @p92)) % 16.01/16.27 (step @p98 :rule trans :premises (@p97 @p91)) % 16.01/16.27 (step @p99 :rule nary_cong :premises (@p98 @p87) :args ((or (not @t172) @t78))) % 16.01/16.27 (step @p100 :rule trans :premises (@p99 @p86)) % 16.01/16.27 (step @p101 :rule bool-impl-elim :args (@t172 @t78)) % 16.01/16.27 (step @p102 :rule trans :premises (@p101 @p100)) % 16.01/16.27 (step @p103 :rule bool-impl-elim :args (@t78 @t164)) % 16.01/16.27 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t173)) % 16.01/16.27 (step @p105 :rule cong :premises (@p104) :args ((forall @t3 @t173))) % 16.01/16.27 (step @p106 :rule trans :premises (@p105 @p85)) % 16.01/16.27 (step @p107 :rule refl :args (@t78)) % 16.01/16.27 (step @p108 :rule refl :args (@t79)) % 16.01/16.27 (step @p109 :rule bool-impl-elim :args (@t80 @t23)) % 16.01/16.27 (step @p110 :rule cong :premises (@p109) :args (@t81)) % 16.01/16.27 (step @p111 :rule nary_cong :premises (@p110 @p108) :args (@t82)) % 16.01/16.27 (step @p112 :rule refl :args (@t83)) % 16.01/16.27 (step @p113 :rule refl :args (@t84)) % 16.01/16.27 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111) :args (@t85)) % 16.01/16.27 (step @p115 :rule cong :premises (@p114 @p107) :args (@t86)) % 16.01/16.27 (step @p116 :rule nary_cong :premises (@p113 @p112 @p110 @p108) :args (@t87)) % 16.01/16.27 (step @p117 :rule cong :premises (@p107 @p116) :args (@t88)) % 16.01/16.27 (step @p118 :rule nary_cong :premises (@p117 @p115) :args (@t89)) % 16.01/16.27 (step @p119 :rule cong :premises (@p118) :args (@t90)) % 16.01/16.27 (step @p120 :rule trans :premises (@p119 @p106)) % 16.01/16.27 (step @p121 :rule trans :premises (@p120 @p62)) % 16.01/16.27 (step @p122 :rule and_elim :premises (@p27) :args (1)) % 16.01/16.27 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 16.01/16.27 (step @p124 :rule and_elim :premises (@p123) :args (1)) % 16.01/16.27 (step @p125 :rule instantiate :premises (@p124) :args (@t176)) % 16.01/16.27 (step @p126 :rule refl :args (@t99)) % 16.01/16.27 (step @p127 :rule refl :args (@t1)) % 16.01/16.27 (step @p128 :rule cong :premises (@p127 @p40) :args (@t78)) % 16.01/16.27 (step @p129 :rule cong :premises (@p128) :args (@t165)) % 16.01/16.27 (step @p130 :rule nary_cong :premises (@p129 @p126) :args (@t177)) % 16.01/16.27 (step @p131 :rule cong :premises (@p130) :args ((forall @t3 @t177))) % 16.01/16.27 (step @p132 :rule bool-impl-elim :args (@t78 @t99)) % 16.01/16.27 (step @p133 :rule cong :premises (@p132) :args (@t100)) % 16.01/16.27 (step @p134 :rule trans :premises (@p133 @p131)) % 16.01/16.27 (step @p135 :rule and_elim :premises (@p28) :args (2)) % 16.01/16.27 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 16.01/16.27 (step @p137 :rule instantiate :premises (@p136) :args (@t176)) % 16.01/16.27 (step @p138 :rule and_elim :premises (@p123) :args (0)) % 16.01/16.27 (step @p139 :rule instantiate :premises (@p138) :args ((@list tptp.xp @t179))) % 16.01/16.27 (step @p140 :rule instantiate :premises (@p124) :args (@t180)) % 16.01/16.27 (step @p141 :rule refl :args (@t102)) % 16.01/16.27 (step @p142 :rule cong :premises (@p141 @p32 @p35) :args (@t103)) % 16.01/16.27 (step @p143 :rule and_elim :premises (@p29) :args (3)) % 16.01/16.27 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 16.01/16.27 (step @p145 :rule cnf_and_pos :args (@t183 1)) % 16.01/16.27 (step @p146 :rule reordering :premises (@p145) :args ((or @t182 @t184))) % 16.01/16.27 (step @p147 :rule chain_m_resolution :premises (@p146 @p144) :args (@t184 @t185 (@list @t181))) % 16.01/16.27 (step @p148 :rule aci_norm :args ((= (or (or @t188 @t187) (or @t186 @t52)) (or @t188 @t187 @t186 @t52)))) % 16.01/16.27 (step @p149 :rule bool-impl-elim :args (@t17 @t52)) % 16.01/16.27 (step @p150 :rule bool-and-de-morgan :args (@t55 @t54 true)) % 16.01/16.27 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t56) @t53))) % 16.01/16.27 (step @p152 :rule trans :premises (@p151 @p148)) % 16.01/16.27 (step @p153 :rule bool-impl-elim :args (@t56 @t53)) % 16.01/16.27 (step @p154 :rule trans :premises (@p153 @p152)) % 16.01/16.27 (step @p155 :rule cong :premises (@p154) :args (@t57)) % 16.01/16.27 (step @p156 :rule and_elim :premises (@p24) :args (4)) % 16.01/16.27 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 16.01/16.27 (step @p158 :rule instantiate :premises (@p157) :args ((@list @t102 tptp.xp))) % 16.01/16.27 (step @p159 :rule aci_norm :args ((= @t194 (or @t192 @t191 @t190)))) % 16.01/16.27 (step @p160 :rule cong :premises (@p159) :args (@t195)) % 16.01/16.27 (step @p161 :rule quant-merge-prenex :args ((= (forall @t3 @t197) @t195))) % 16.01/16.27 (step @p162 :rule alpha_equiv :args (@t198 (@list @t189) @t149)) % 16.01/16.27 (step @p163 :rule refl :args (@t192)) % 16.01/16.27 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t199)) % 16.01/16.27 (step @p165 :rule quant-miniscope-or :args ((= @t197 @t199))) % 16.01/16.27 (step @p166 :rule trans :premises (@p165 @p164)) % 16.01/16.27 (step @p167 :rule symm :premises (@p166)) % 16.01/16.27 (step @p168 :rule cong :premises (@p167) :args ((forall @t3 (or @t192 @t200)))) % 16.01/16.27 (step @p169 :rule trans :premises (@p168 @p161)) % 16.01/16.27 (step @p170 :rule trans :premises (@p169 @p160)) % 16.01/16.27 (step @p171 :rule bool-impl-elim :args (@t40 @t200)) % 16.01/16.27 (step @p172 :rule cong :premises (@p171) :args ((forall @t3 (=> @t40 @t200)))) % 16.01/16.27 (step @p173 :rule trans :premises (@p172 @p170)) % 16.01/16.27 (step @p174 :rule bool-impl-elim :args (@t45 @t44)) % 16.01/16.27 (step @p175 :rule cong :premises (@p174) :args (@t46)) % 16.01/16.27 (step @p176 :rule refl :args (@t40)) % 16.01/16.27 (step @p177 :rule cong :premises (@p176 @p175) :args (@t47)) % 16.01/16.27 (step @p178 :rule cong :premises (@p177) :args (@t48)) % 16.01/16.27 (step @p179 :rule trans :premises (@p178 @p173)) % 16.01/16.27 (step @p180 :rule eq_resolve :premises (@p21 @p179)) % 16.01/16.27 (step @p181 :rule instantiate :premises (@p180) :args ((@list tptp.xf tptp.xp))) % 16.01/16.27 (step @p182 :rule refl :args (tptp.xp)) % 16.01/16.27 (step @p183 :rule cong :premises (@p182 @p35) :args (@t101)) % 16.01/16.27 (step @p184 :rule and_elim :premises (@p28) :args (1)) % 16.01/16.27 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 16.01/16.27 (step @p186 :rule true_intro :premises (@p185)) % 16.01/16.27 (step @p187 :rule and_elim :premises (@p24) :args (6)) % 16.01/16.27 (step @p188 :rule cong :premises (@p182 @p187) :args (@t116)) % 16.01/16.27 (step @p189 :rule trans :premises (@p188 @p186)) % 16.01/16.27 (step @p190 :rule true_elim :premises (@p189)) % 16.01/16.27 (step @p191 :rule and_elim :premises (@p24) :args (3)) % 16.01/16.27 (step @p192 :rule cnf_or_pos :args (@t204)) % 16.01/16.27 (step @p193 :rule reordering :premises (@p192) :args ((or @t203 @t202 @t201 (not @t204)))) % 16.01/16.27 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p190 @p181) :args (@t201 @t205 (@list @t58 @t116 @t204))) % 16.01/16.27 (step @p195 :rule true_intro :premises (@p194)) % 16.01/16.27 (step @p196 :rule cong :premises (@p141 @p187) :args (@t206)) % 16.01/16.27 (step @p197 :rule trans :premises (@p196 @p195)) % 16.01/16.27 (step @p198 :rule true_elim :premises (@p197)) % 16.01/16.27 (step @p199 :rule refl :args (@t91)) % 16.01/16.27 (step @p200 :rule cong :premises (@p127 @p40 @p35) :args (@t92)) % 16.01/16.27 (step @p201 :rule cong :premises (@p200) :args (@t207)) % 16.01/16.27 (step @p202 :rule refl :args (@t17)) % 16.01/16.27 (step @p203 :rule refl :args (@t5)) % 16.01/16.27 (step @p204 :rule cong :premises (@p203 @p40) :args (@t93)) % 16.01/16.27 (step @p205 :rule cong :premises (@p204) :args (@t208)) % 16.01/16.27 (step @p206 :rule nary_cong :premises (@p205 @p202) :args (@t209)) % 16.01/16.27 (step @p207 :rule cong :premises (@p206) :args (@t210)) % 16.01/16.27 (step @p208 :rule cong :premises (@p207) :args (@t211)) % 16.01/16.27 (step @p209 :rule cong :premises (@p127 @p35) :args (@t84)) % 16.01/16.27 (step @p210 :rule cong :premises (@p209) :args (@t160)) % 16.01/16.27 (step @p211 :rule nary_cong :premises (@p210 @p208) :args (@t212)) % 16.01/16.27 (step @p212 :rule nary_cong :premises (@p211 @p201) :args (@t213)) % 16.01/16.27 (step @p213 :rule nary_cong :premises (@p212 @p199) :args (@t214)) % 16.01/16.27 (step @p214 :rule cong :premises (@p213) :args ((forall @t3 @t214))) % 16.01/16.27 (step @p215 :rule refl :args (@t91)) % 16.01/16.27 (step @p216 :rule refl :args (@t207)) % 16.01/16.27 (step @p217 :rule bool-and-de-morgan :args (@t84 @t210 true)) % 16.01/16.27 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((and (not @t215) @t207))) % 16.01/16.27 (step @p219 :rule bool-or-de-morgan :args (@t215 @t92 false)) % 16.01/16.27 (step @p220 :rule trans :premises (@p219 @p218)) % 16.01/16.27 (step @p221 :rule nary_cong :premises (@p220 @p215) :args ((or (not @t216) @t91))) % 16.01/16.27 (step @p222 :rule bool-impl-elim :args (@t216 @t91)) % 16.01/16.27 (step @p223 :rule trans :premises (@p222 @p221)) % 16.01/16.27 (step @p224 :rule cong :premises (@p223) :args ((forall @t3 (=> @t216 @t91)))) % 16.01/16.27 (step @p225 :rule refl :args (@t92)) % 16.01/16.27 (step @p226 :rule bool-impl-elim :args (@t93 @t17)) % 16.01/16.27 (step @p227 :rule cong :premises (@p226) :args (@t94)) % 16.01/16.27 (step @p228 :rule nary_cong :premises (@p113 @p227) :args (@t95)) % 16.01/16.27 (step @p229 :rule nary_cong :premises (@p228 @p225) :args (@t96)) % 16.01/16.27 (step @p230 :rule cong :premises (@p229 @p199) :args (@t97)) % 16.01/16.27 (step @p231 :rule cong :premises (@p230) :args (@t98)) % 16.01/16.27 (step @p232 :rule trans :premises (@p231 @p224)) % 16.01/16.27 (step @p233 :rule trans :premises (@p232 @p214)) % 16.01/16.27 (step @p234 :rule and_elim :premises (@p28) :args (4)) % 16.01/16.27 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 16.01/16.27 (step @p236 :rule instantiate :premises (@p235) :args (@t180)) % 16.01/16.27 (step @p237 :rule cong :premises (@p141 @p40 @p35) :args (@t104)) % 16.01/16.27 (step @p238 :rule and_elim :premises (@p29) :args (1)) % 16.01/16.27 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 16.01/16.27 (step @p240 :rule cnf_and_pos :args (@t221 1)) % 16.01/16.27 (step @p241 :rule reordering :premises (@p240) :args ((or @t219 @t222))) % 16.01/16.27 (step @p242 :rule chain_m_resolution :premises (@p241 @p239) :args (@t222 @t185 (@list @t218))) % 16.01/16.27 (step @p243 :rule cnf_or_pos :args (@t224)) % 16.01/16.27 (step @p244 :rule reordering :premises (@p243) :args ((or @t223 @t221 (not @t224)))) % 16.01/16.27 (step @p245 :rule chain_m_resolution :premises (@p244 @p242 @p236) :args (@t223 @t225 (@list @t221 @t224))) % 16.01/16.27 (step @p246 :rule cnf_or_pos :args (@t229)) % 16.01/16.27 (step @p247 :rule reordering :premises (@p246) :args ((or @t202 @t227 @t228 @t226 (not @t229)))) % 16.01/16.27 (step @p248 :rule chain_m_resolution :premises (@p247 @p190 @p245 @p198 @p158) :args (@t226 (@list false false false false) (@list @t116 @t223 @t206 @t229))) % 16.01/16.27 (step @p249 :rule cnf_or_pos :args (@t232)) % 16.01/16.27 (step @p250 :rule reordering :premises (@p249) :args ((or @t220 @t230 @t231 @t183 (not @t232)))) % 16.01/16.27 (step @p251 :rule chain_m_resolution :premises (@p250 @p194 @p248 @p147 @p140) :args (@t230 (@list false false true false) (@list @t201 @t226 @t183 @t232))) % 16.01/16.27 (step @p252 :rule true_intro :premises (@p251)) % 16.01/16.27 (step @p253 :rule refl :args (@t217)) % 16.01/16.27 (step @p254 :rule aci_norm :args ((= (or (or @t235 @t234) @t236) (or @t235 @t234 @t186 @t233 @t22)))) % 16.01/16.27 (step @p255 :rule aci_norm :args ((= (or (or @t186 @t233) @t22) @t236))) % 16.01/16.27 (step @p256 :rule refl :args (@t22)) % 16.01/16.27 (step @p257 :rule bool-and-de-morgan :args (@t17 @t23 true)) % 16.01/16.27 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or (not @t24) @t22))) % 16.01/16.27 (step @p259 :rule trans :premises (@p258 @p255)) % 16.01/16.27 (step @p260 :rule bool-impl-elim :args (@t24 @t22)) % 16.01/16.27 (step @p261 :rule trans :premises (@p260 @p259)) % 16.01/16.27 (step @p262 :rule bool-and-de-morgan :args (@t4 @t6 true)) % 16.01/16.27 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or (not @t18) @t25))) % 16.01/16.27 (step @p264 :rule trans :premises (@p263 @p254)) % 16.01/16.27 (step @p265 :rule bool-impl-elim :args (@t18 @t25)) % 16.01/16.27 (step @p266 :rule trans :premises (@p265 @p264)) % 16.01/16.27 (step @p267 :rule cong :premises (@p266) :args (@t26)) % 16.01/16.27 (step @p268 :rule eq_resolve :premises (@p8 @p267)) % 16.01/16.27 (step @p269 :rule instantiate :premises (@p268) :args ((@list tptp.xp @t102))) % 16.01/16.27 (step @p270 :rule instantiate :premises (@p136) :args (@t180)) % 16.01/16.27 (step @p271 :rule cnf_or_pos :args (@t239)) % 16.01/16.27 (step @p272 :rule reordering :premises (@p271) :args ((or @t237 @t238 (not @t239)))) % 16.01/16.27 (step @p273 :rule chain_m_resolution :premises (@p272 @p251 @p270) :args (@t237 @t240 (@list @t230 @t239))) % 16.01/16.27 (step @p274 :rule aci_norm :args ((= @t246 (or @t244 @t243 @t242)))) % 16.01/16.27 (step @p275 :rule cong :premises (@p274) :args (@t247)) % 16.01/16.27 (step @p276 :rule quant-merge-prenex :args ((= (forall @t3 @t249) @t247))) % 16.01/16.27 (step @p277 :rule alpha_equiv :args (@t250 (@list @t241) @t149)) % 16.01/16.27 (step @p278 :rule refl :args (@t244)) % 16.01/16.27 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t251)) % 16.01/16.27 (step @p280 :rule quant-miniscope-or :args ((= @t249 @t251))) % 16.01/16.27 (step @p281 :rule trans :premises (@p280 @p279)) % 16.01/16.27 (step @p282 :rule symm :premises (@p281)) % 16.01/16.27 (step @p283 :rule cong :premises (@p282) :args ((forall @t3 (or @t244 @t252)))) % 16.01/16.27 (step @p284 :rule trans :premises (@p283 @p276)) % 16.01/16.27 (step @p285 :rule trans :premises (@p284 @p275)) % 16.01/16.27 (step @p286 :rule bool-impl-elim :args (@t2 @t252)) % 16.01/16.27 (step @p287 :rule cong :premises (@p286) :args ((forall @t3 (=> @t2 @t252)))) % 16.01/16.27 (step @p288 :rule trans :premises (@p287 @p285)) % 16.01/16.27 (step @p289 :rule bool-impl-elim :args (@t7 @t6)) % 16.01/16.27 (step @p290 :rule cong :premises (@p289) :args (@t9)) % 16.01/16.27 (step @p291 :rule refl :args (@t2)) % 16.01/16.27 (step @p292 :rule cong :premises (@p291 @p290) :args (@t10)) % 16.01/16.27 (step @p293 :rule cong :premises (@p292) :args (@t11)) % 16.01/16.27 (step @p294 :rule trans :premises (@p293 @p288)) % 16.01/16.27 (step @p295 :rule eq_resolve :premises (@p3 @p294)) % 16.01/16.27 (step @p296 :rule instantiate :premises (@p295) :args ((@list @t49 @t102))) % 16.01/16.27 (step @p297 :rule cong :premises (@p35) :args (@t63)) % 16.01/16.27 (step @p298 :rule and_elim :premises (@p24) :args (0)) % 16.01/16.27 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 16.01/16.27 (step @p300 :rule cnf_or_pos :args (@t256)) % 16.01/16.27 (step @p301 :rule reordering :premises (@p300) :args ((or @t255 @t253 @t220 (not @t256)))) % 16.01/16.27 (step @p302 :rule chain_m_resolution :premises (@p301 @p299 @p194 @p296) :args (@t253 @t205 (@list @t254 @t201 @t256))) % 16.01/16.27 (step @p303 :rule instantiate :premises (@p295) :args ((@list @t49 tptp.xp))) % 16.01/16.27 (step @p304 :rule cnf_or_pos :args (@t260)) % 16.01/16.27 (step @p305 :rule reordering :premises (@p304) :args ((or @t255 @t259 @t257 (not @t260)))) % 16.01/16.27 (step @p306 :rule chain_m_resolution :premises (@p305 @p299 @p185 @p303) :args (@t257 @t205 (@list @t254 @t258 @t260))) % 16.01/16.27 (step @p307 :rule cnf_or_pos :args (@t265)) % 16.01/16.27 (step @p308 :rule reordering :premises (@p307) :args ((or @t261 @t264 @t263 @t262 @t227 (not @t265)))) % 16.01/16.27 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p302 @p273 @p245 @p269) :args (@t261 (@list false false false false false) (@list @t257 @t253 @t237 @t223 @t265))) % 16.01/16.27 (step @p310 :rule cong :premises (@p309 @p253) :args (@t266)) % 16.01/16.27 (step @p311 :rule trans :premises (@p310 @p252)) % 16.01/16.27 (step @p312 :rule true_elim :premises (@p311)) % 16.01/16.27 (step @p313 :rule cnf_or_pos :args (@t270)) % 16.01/16.27 (step @p314 :rule reordering :premises (@p313) :args ((or @t269 @t268 (not @t270)))) % 16.01/16.27 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p139) :args (@t268 @t240 (@list @t266 @t270))) % 16.01/16.27 (step @p316 :rule cnf_and_pos :args (@t268 2)) % 16.01/16.27 (step @p317 :rule reordering :premises (@p316) :args ((or @t267 (not @t268)))) % 16.01/16.27 (step @p318 :rule chain_m_resolution :premises (@p317 @p315) :args (@t267 @t185 (@list @t268))) % 16.01/16.27 (step @p319 :rule refl :args (@t271)) % 16.01/16.27 (step @p320 :rule bool-double-not-elim :args (@t178)) % 16.01/16.27 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or (not @t272) @t271))) % 16.01/16.27 (assume-push @p542 @t272) % 16.01/16.27 (step @p323 :rule skolemize :premises (@p542)) % 16.01/16.27 (step-pop @p543 :rule scope :premises (@p323)) % 16.01/16.27 (step @p324 :rule process_scope :premises (@p543) :args (@t271)) % 16.01/16.27 (step @p326 :rule implies_elim :premises (@p324)) % 16.01/16.27 (step @p327 :rule eq_resolve :premises (@p326 @p321)) % 16.01/16.27 (step @p328 :rule chain_m_resolution :premises (@p327 @p318) :args (@t178 @t185 (@list @t267))) % 16.01/16.27 (step @p329 :rule cnf_or_neg :args (@t273 0)) % 16.01/16.27 (step @p330 :rule chain_m_resolution :premises (@p329 @p328) :args (@t273 @t185 (@list @t178))) % 16.01/16.27 (step @p331 :rule cnf_and_neg :args (@t274)) % 16.01/16.27 (step @p332 :rule chain_m_resolution :premises (@p331 @p190 @p309) :args (@t274 @t240 (@list @t116 @t261))) % 16.01/16.27 (step @p333 :rule cnf_or_neg :args (@t275 0)) % 16.01/16.27 (step @p334 :rule chain_m_resolution :premises (@p333 @p332) :args (@t275 @t185 (@list @t274))) % 16.01/16.27 (step @p335 :rule and_elim :premises (@p25) :args (2)) % 16.01/16.27 (step @p336 :rule cong :premises (@p182 @p32 @p335) :args (@t105)) % 16.01/16.27 (step @p337 :rule cong :premises (@p127 @p32 @p335) :args (@t106)) % 16.01/16.27 (step @p338 :rule cong :premises (@p337) :args (@t276)) % 16.01/16.27 (step @p339 :rule refl :args (@t157)) % 16.01/16.27 (step @p340 :rule cong :premises (@p127 @p335) :args (@t65)) % 16.01/16.27 (step @p341 :rule cong :premises (@p340) :args (@t277)) % 16.01/16.27 (step @p342 :rule nary_cong :premises (@p341 @p339 @p338 @p126) :args (@t278)) % 16.01/16.27 (step @p343 :rule cong :premises (@p342) :args (@t279)) % 16.01/16.27 (step @p344 :rule cong :premises (@p182 @p32 @p335) :args (@t110)) % 16.01/16.27 (step @p345 :rule refl :args (@t178)) % 16.01/16.27 (step @p346 :rule nary_cong :premises (@p345 @p344) :args (@t280)) % 16.01/16.27 (step @p347 :rule nary_cong :premises (@p346 @p343) :args (@t281)) % 16.01/16.27 (step @p348 :rule nary_cong :premises (@p347 @p336) :args (@t282)) % 16.01/16.27 (step @p349 :rule refl :args (@t275)) % 16.01/16.27 (step @p350 :rule nary_cong :premises (@p349 @p348) :args (@t283)) % 16.01/16.27 (step @p351 :rule cong :premises (@p350) :args ((not @t283))) % 16.01/16.27 (step @p352 :rule refl :args (@t105)) % 16.01/16.27 (step @p353 :rule aci_norm :args ((= (or @t284 @t99) @t278))) % 16.01/16.27 (step @p354 :rule refl :args (@t99)) % 16.01/16.27 (step @p355 :rule aci_norm :args ((= (or @t277 (or @t157 @t276)) @t284))) % 16.01/16.27 (step @p356 :rule bool-and-de-morgan :args (@t156 @t106 true)) % 16.01/16.27 (step @p357 :rule refl :args (@t277)) % 16.01/16.27 (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or @t277 (not (and @t156 @t106))))) % 16.01/16.27 (step @p359 :rule bool-and-de-morgan :args (@t65 @t156 (and @t106))) % 16.01/16.27 (step @p360 :rule trans :premises (@p359 @p358)) % 16.01/16.27 (step @p361 :rule trans :premises (@p360 @p355)) % 16.01/16.27 (step @p362 :rule nary_cong :premises (@p361 @p354) :args ((or (not @t285) @t99))) % 16.01/16.27 (step @p363 :rule trans :premises (@p362 @p353)) % 16.01/16.27 (step @p364 :rule bool-impl-elim :args (@t285 @t99)) % 16.01/16.27 (step @p365 :rule trans :premises (@p364 @p363)) % 16.01/16.27 (step @p366 :rule cong :premises (@p365) :args ((forall @t3 (=> @t285 @t99)))) % 16.01/16.27 (step @p367 :rule refl :args (@t106)) % 16.01/16.27 (step @p368 :rule refl :args (@t65)) % 16.01/16.27 (step @p369 :rule nary_cong :premises (@p368 @p110 @p367) :args (@t107)) % 16.01/16.27 (step @p370 :rule cong :premises (@p369 @p126) :args (@t108)) % 16.01/16.27 (step @p371 :rule cong :premises (@p370) :args (@t109)) % 16.01/16.27 (step @p372 :rule trans :premises (@p371 @p366)) % 16.01/16.27 (step @p373 :rule refl :args (@t110)) % 16.01/16.27 (step @p374 :rule bool-impl-elim :args (@t75 @t91)) % 16.01/16.27 (step @p375 :rule cong :premises (@p374) :args (@t111)) % 16.01/16.27 (step @p376 :rule nary_cong :premises (@p375 @p373) :args (@t112)) % 16.01/16.27 (step @p377 :rule nary_cong :premises (@p376 @p372) :args (@t113)) % 16.01/16.27 (step @p378 :rule nary_cong :premises (@p377 @p352) :args (@t114)) % 16.01/16.27 (step @p379 :rule refl :args (@t115)) % 16.01/16.27 (step @p380 :rule eq-symm :args (@t102 tptp.xp)) % 16.01/16.27 (step @p381 :rule refl :args (@t116)) % 16.01/16.27 (step @p382 :rule nary_cong :premises (@p381 @p380) :args (@t117)) % 16.01/16.27 (step @p383 :rule nary_cong :premises (@p382 @p379) :args (@t118)) % 16.01/16.27 (step @p384 :rule nary_cong :premises (@p383 @p378) :args (@t119)) % 16.01/16.27 (step @p385 :rule cong :premises (@p384) :args (@t120)) % 16.01/16.27 (step @p386 :rule trans :premises (@p385 @p351)) % 16.01/16.27 (step @p387 :rule eq_resolve :premises (@p30 @p386)) % 16.01/16.27 (step @p388 :rule not_and :premises (@p387)) % 16.01/16.27 (step @p389 :rule chain_m_resolution :premises (@p388 @p334) :args ((not @t287) @t185 (@list @t275))) % 16.01/16.27 (step @p390 :rule cnf_or_neg :args (@t287 0)) % 16.01/16.27 (step @p391 :rule chain_m_resolution :premises (@p390 @p389) :args ((not @t286) @t288 (@list @t287))) % 16.01/16.27 (step @p392 :rule cnf_and_neg :args (@t286)) % 16.01/16.27 (step @p393 :rule chain_m_resolution :premises (@p392 @p391 @p330) :args (@t289 @t225 (@list @t286 @t273))) % 16.01/16.27 (step @p394 :rule refl :args (@t296)) % 16.01/16.27 (step @p395 :rule bool-double-not-elim :args (@t174)) % 16.01/16.27 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or (not @t289) @t296))) % 16.01/16.27 (assume-push @p544 @t289) % 16.01/16.27 (step @p398 :rule skolemize :premises (@p544)) % 16.01/16.27 (step-pop @p545 :rule scope :premises (@p398)) % 16.01/16.27 (step @p399 :rule process_scope :premises (@p545) :args (@t296)) % 16.01/16.27 (step @p401 :rule implies_elim :premises (@p399)) % 16.01/16.27 (step @p402 :rule eq_resolve :premises (@p401 @p396)) % 16.01/16.27 (step @p403 :rule chain_m_resolution :premises (@p402 @p393) :args (@t296 @t288 (@list @t174))) % 16.01/16.27 (step @p404 :rule cnf_or_neg :args (@t295 3)) % 16.01/16.27 (step @p405 :rule chain_m_resolution :premises (@p404 @p403) :args ((not @t290) @t288 @t297)) % 16.01/16.27 (step @p406 :rule cnf_or_pos :args (@t300)) % 16.01/16.27 (step @p407 :rule reordering :premises (@p406) :args ((or @t290 @t299 (not @t300)))) % 16.01/16.27 (step @p408 :rule chain_m_resolution :premises (@p407 @p405 @p137) :args (@t299 @t225 (@list @t290 @t300))) % 16.01/16.27 (step @p409 :rule bool-double-not-elim :args (@t291)) % 16.01/16.27 (step @p410 :rule refl :args (@t295)) % 16.01/16.27 (step @p411 :rule nary_cong :premises (@p410 @p409) :args ((or @t295 (not @t292)))) % 16.01/16.27 (step @p412 :rule cnf_or_neg :args (@t295 1)) % 16.01/16.27 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 16.01/16.27 (step @p414 :rule reordering :premises (@p413) :args ((or @t291 @t295))) % 16.01/16.27 (step @p415 :rule chain_m_resolution :premises (@p414 @p403) :args (@t291 @t288 @t297)) % 16.01/16.27 (step @p416 :rule cnf_and_pos :args (@t301 0)) % 16.01/16.27 (step @p417 :rule reordering :premises (@p416) :args ((or @t292 @t302))) % 16.01/16.27 (step @p418 :rule chain_m_resolution :premises (@p417 @p415) :args (@t302 @t185 (@list @t291))) % 16.01/16.27 (step @p419 :rule refl :args (@t303)) % 16.01/16.27 (step @p420 :rule cong :premises (@p419 @p335) :args (@t304)) % 16.01/16.27 (step @p421 :rule refl :args (@t305)) % 16.01/16.27 (step @p422 :rule nary_cong :premises (@p421 @p420) :args (@t306)) % 16.01/16.27 (step @p423 :rule cong :premises (@p422) :args (@t307)) % 16.01/16.27 (step @p424 :rule refl :args (@t309)) % 16.01/16.27 (step @p425 :rule refl :args (@t308)) % 16.01/16.27 (step @p426 :rule cong :premises (@p425 @p335) :args (@t310)) % 16.01/16.27 (step @p427 :rule cong :premises (@p426) :args (@t311)) % 16.01/16.27 (step @p428 :rule nary_cong :premises (@p427 @p424) :args (@t312)) % 16.01/16.27 (step @p429 :rule cong :premises (@p428) :args (@t313)) % 16.01/16.27 (step @p430 :rule nary_cong :premises (@p429 @p423) :args ((and @t313 @t307))) % 16.01/16.27 (step @p431 :rule alpha_equiv :args (@t317 @t163 (@list @t303))) % 16.01/16.27 (step @p432 :rule alpha_equiv :args (@t320 @t163 (@list @t308))) % 16.01/16.27 (step @p433 :rule nary_cong :premises (@p432 @p431) :args (@t321)) % 16.01/16.27 (step @p434 :rule quant-miniscope-and :args ((= (forall @t3 (and @t319 @t316)) @t321))) % 16.01/16.27 (step @p435 :rule trans :premises (@p434 @p433)) % 16.01/16.27 (step @p436 :rule refl :args (@t65)) % 16.01/16.27 (step @p437 :rule refl :args (@t314)) % 16.01/16.27 (step @p438 :rule bool-and-de-morgan :args (@t55 @t315 true)) % 16.01/16.27 (step @p439 :rule nary_cong :premises (@p438 @p437) :args ((and (not @t322) @t314))) % 16.01/16.27 (step @p440 :rule bool-or-de-morgan :args (@t322 @t66 false)) % 16.01/16.27 (step @p441 :rule trans :premises (@p440 @p439)) % 16.01/16.27 (step @p442 :rule nary_cong :premises (@p441 @p436) :args ((or (not @t323) @t65))) % 16.01/16.27 (step @p443 :rule bool-impl-elim :args (@t323 @t65)) % 16.01/16.27 (step @p444 :rule trans :premises (@p443 @p442)) % 16.01/16.27 (step @p445 :rule bool-impl-elim :args (@t65 @t318)) % 16.01/16.27 (step @p446 :rule nary_cong :premises (@p445 @p444) :args (@t324)) % 16.01/16.27 (step @p447 :rule cong :premises (@p446) :args ((forall @t3 @t324))) % 16.01/16.27 (step @p448 :rule trans :premises (@p447 @p435)) % 16.01/16.27 (step @p449 :rule refl :args (@t66)) % 16.01/16.27 (step @p450 :rule eq-symm :args (@t51 @t1)) % 16.01/16.27 (step @p451 :rule refl :args (@t55)) % 16.01/16.27 (step @p452 :rule nary_cong :premises (@p451 @p450) :args (@t68)) % 16.01/16.27 (step @p453 :rule nary_cong :premises (@p452 @p449) :args (@t69)) % 16.01/16.27 (step @p454 :rule cong :premises (@p453 @p368) :args (@t70)) % 16.01/16.27 (step @p455 :rule nary_cong :premises (@p451 @p450 @p449) :args (@t71)) % 16.01/16.27 (step @p456 :rule cong :premises (@p368 @p455) :args (@t72)) % 16.01/16.27 (step @p457 :rule nary_cong :premises (@p456 @p454) :args (@t73)) % 16.01/16.27 (step @p458 :rule cong :premises (@p457) :args (@t74)) % 16.01/16.27 (step @p459 :rule trans :premises (@p458 @p448)) % 16.01/16.27 (step @p460 :rule trans :premises (@p459 @p430)) % 16.01/16.27 (step @p461 :rule and_elim :premises (@p25) :args (1)) % 16.01/16.27 (step @p462 :rule eq_resolve :premises (@p461 @p460)) % 16.01/16.27 (step @p463 :rule and_elim :premises (@p462) :args (0)) % 16.01/16.27 (step @p464 :rule instantiate :premises (@p463) :args (@t176)) % 16.01/16.27 (step @p465 :rule bool-double-not-elim :args (@t293)) % 16.01/16.27 (step @p466 :rule nary_cong :premises (@p410 @p465) :args ((or @t295 (not @t294)))) % 16.01/16.27 (step @p467 :rule cnf_or_neg :args (@t295 0)) % 16.01/16.27 (step @p468 :rule eq_resolve :premises (@p467 @p466)) % 16.01/16.27 (step @p469 :rule reordering :premises (@p468) :args ((or @t293 @t295))) % 16.01/16.27 (step @p470 :rule chain_m_resolution :premises (@p469 @p403) :args (@t293 @t288 @t297)) % 16.01/16.27 (step @p471 :rule cnf_or_pos :args (@t329)) % 16.01/16.27 (step @p472 :rule reordering :premises (@p471) :args ((or @t294 @t328 (not @t329)))) % 16.01/16.27 (step @p473 :rule chain_m_resolution :premises (@p472 @p470 @p464) :args (@t328 @t240 (@list @t293 @t329))) % 16.01/16.27 (step @p474 :rule cnf_and_pos :args (@t328 0)) % 16.01/16.27 (step @p475 :rule reordering :premises (@p474) :args ((or @t327 @t330))) % 16.01/16.27 (step @p476 :rule chain_m_resolution :premises (@p475 @p473) :args (@t327 @t185 @t331)) % 16.01/16.27 (step @p477 :rule symm :premises (@p187)) % 16.01/16.27 (assume-push @p546 @t332) % 16.01/16.27 (assume-push @p547 @t327) % 16.01/16.27 (assume-push @p548 @t327) % 16.01/16.27 (assume-push @p549 @t332) % 16.01/16.27 (step @p482 :rule true_intro :premises (@p547)) % 16.01/16.27 (step @p483 :rule refl :args (@t175)) % 16.01/16.27 (step @p484 :rule cong :premises (@p483 @p477) :args (@t333)) % 16.01/16.27 (step @p485 :rule trans :premises (@p484 @p482)) % 16.01/16.27 (step @p486 :rule true_elim :premises (@p485)) % 16.01/16.27 (step-pop @p550 :rule scope :premises (@p486)) % 16.01/16.27 (step-pop @p551 :rule scope :premises (@p550)) % 16.01/16.27 (step @p487 :rule process_scope :premises (@p551) :args (@t333)) % 16.01/16.27 (step @p490 :rule and_intro :premises (@p547 @p477)) % 16.01/16.27 (step @p491 :rule modus_ponens :premises (@p490 @p487)) % 16.01/16.27 (step-pop @p552 :rule scope :premises (@p491)) % 16.01/16.27 (step-pop @p553 :rule scope :premises (@p552)) % 16.01/16.27 (step @p492 :rule process_scope :premises (@p553) :args (@t333)) % 16.01/16.27 (step @p495 :rule implies_elim :premises (@p492)) % 16.01/16.27 (step @p496 :rule cnf_and_neg :args (@t334)) % 16.01/16.27 (step @p497 :rule resolution :premises (@p496 @p495) :args (true @t334)) % 16.01/16.27 (step @p498 :rule reordering :premises (@p497) :args ((or (not @t332) @t333 (not @t327)))) % 16.01/16.27 (step @p499 :rule chain_m_resolution :premises (@p498 @p477 @p476) :args (@t333 @t240 (@list @t332 @t327))) % 16.01/16.27 (step @p500 :rule cnf_or_pos :args (@t338)) % 16.01/16.27 (step @p501 :rule reordering :premises (@p500) :args ((or @t337 @t336 @t301 @t298 (not @t338)))) % 16.01/16.27 (step @p502 :rule chain_m_resolution :premises (@p501 @p499 @p418 @p408 @p125) :args (@t336 (@list false true true false) (@list @t333 @t301 @t298 @t338))) % 16.01/16.27 (step @p503 :rule cnf_and_pos :args (@t328 1)) % 16.01/16.27 (step @p504 :rule reordering :premises (@p503) :args ((or @t326 @t330))) % 16.01/16.27 (step @p505 :rule chain_m_resolution :premises (@p504 @p473) :args (@t326 @t185 @t331)) % 16.01/16.27 (step @p506 :rule refl :args (@t340)) % 16.01/16.27 (step @p507 :rule bool-double-not-elim :args (@t335)) % 16.01/16.27 (step @p508 :rule refl :args (@t341)) % 16.01/16.27 (step @p509 :rule nary_cong :premises (@p508 @p507 @p506) :args ((or @t341 (not @t336) @t340))) % 16.01/16.27 (assume-push @p554 @t326) % 16.01/16.27 (assume-push @p555 @t336) % 16.01/16.27 (assume-push @p556 @t336) % 16.01/16.27 (assume-push @p557 @t326) % 16.01/16.27 (step @p514 :rule false_intro :premises (@p555)) % 16.01/16.27 (step @p483 :rule refl :args (@t175)) % 16.01/16.27 (step @p515 :rule cong :premises (@p554 @p483) :args (@t339)) % 16.01/16.27 (step @p516 :rule trans :premises (@p515 @p514)) % 16.01/16.27 (step @p517 :rule false_elim :premises (@p516)) % 16.01/16.27 (step-pop @p558 :rule scope :premises (@p517)) % 16.01/16.27 (step-pop @p559 :rule scope :premises (@p558)) % 16.01/16.27 (step @p518 :rule process_scope :premises (@p559) :args (@t340)) % 16.01/16.27 (step @p521 :rule and_intro :premises (@p555 @p554)) % 16.01/16.27 (step @p522 :rule modus_ponens :premises (@p521 @p518)) % 16.01/16.27 (step-pop @p560 :rule scope :premises (@p522)) % 16.01/16.27 (step-pop @p561 :rule scope :premises (@p560)) % 16.01/16.27 (step @p523 :rule process_scope :premises (@p561) :args (@t340)) % 16.01/16.27 (step @p526 :rule implies_elim :premises (@p523)) % 16.01/16.27 (step @p527 :rule cnf_and_neg :args (@t342)) % 16.01/16.27 (step @p528 :rule resolution :premises (@p527 @p526) :args (true @t342)) % 16.01/16.27 (step @p529 :rule eq_resolve :premises (@p528 @p509)) % 16.01/16.27 (step @p530 :rule chain_m_resolution :premises (@p529 @p505 @p502) :args (@t340 (@list false true) (@list @t326 @t335))) % 16.01/16.27 (step @p531 :rule bool-impl-elim :args (@t4 @t20)) % 16.01/16.27 (step @p532 :rule cong :premises (@p531) :args (@t21)) % 16.01/16.27 (step @p533 :rule eq_resolve :premises (@p7 @p532)) % 16.01/16.27 (step @p534 :rule instantiate :premises (@p533) :args (@t176)) % 16.01/16.27 (step @p535 :rule instantiate :premises (@p295) :args ((@list @t49 @t175))) % 16.01/16.27 (step @p536 :rule cnf_or_pos :args (@t344)) % 16.01/16.27 (step @p537 :rule reordering :premises (@p536) :args ((or @t255 @t337 @t343 (not @t344)))) % 16.01/16.27 (step @p538 :rule chain_m_resolution :premises (@p537 @p299 @p499 @p535) :args (@t343 @t205 (@list @t254 @t333 @t344))) % 16.01/16.27 (step @p539 :rule cnf_or_pos :args (@t346)) % 16.01/16.27 (step @p540 :rule reordering :premises (@p539) :args ((or @t339 @t345 (not @t346)))) % 16.01/16.27 (step @p541 false :rule chain_m_resolution :premises (@p540 @p538 @p534 @p530) :args (false (@list false false true) (@list @t343 @t346 @t339))) % 16.01/16.27 ) % 16.01/16.27 % SZS output end Proof % 16.01/16.27 % cvc5 exiting %------------------------------------------------------------------------------