%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT386+4 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 17.30s 17.51s % Output : Proof 17.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT386+4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 07:01:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 17.30/17.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.30/17.51 --- Run --no-e-matching --full-saturate-quant at 6... % 17.30/17.51 % SZS status Theorem % 17.30/17.51 % SZS output start Proof % 17.30/17.51 ( % 17.30/17.51 (declare-sort $$unsorted 0) % 17.30/17.51 (declare-const tptp.xp $$unsorted) % 17.30/17.51 (declare-const tptp.xP $$unsorted) % 17.30/17.51 (declare-const tptp.xT $$unsorted) % 17.30/17.51 (declare-const tptp.xS $$unsorted) % 17.30/17.51 (declare-const tptp.cS1142 (-> $$unsorted $$unsorted)) % 17.30/17.51 (declare-const tptp.isMonotone0 (-> $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.aFixedPointOf0 (-> $$unsorted $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.xU $$unsorted) % 17.30/17.51 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 17.30/17.51 (declare-const tptp.isOn0 (-> $$unsorted $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.szRzazndt0 (-> $$unsorted $$unsorted)) % 17.30/17.51 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.aCompleteLattice0 (-> $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.isEmpty0 (-> $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.cS1241 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.30/17.51 (declare-const tptp.xf $$unsorted) % 17.30/17.51 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.aLowerBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.aSupremumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.aUpperBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.aInfimumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 17.30/17.51 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 17.30/17.51 (define @t1 () (@var "W0" $$unsorted)) % 17.30/17.51 (define @t2 () (tptp.aSet0 @t1)) % 17.30/17.51 (define @t3 () (@list @t1)) % 17.30/17.51 (define @t4 () (tptp.aElement0 @t1)) % 17.30/17.51 (define @t5 () (@var "W1" $$unsorted)) % 17.30/17.51 (define @t6 () (tptp.aElement0 @t5)) % 17.30/17.51 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 17.30/17.51 (define @t8 () (@list @t5)) % 17.30/17.51 (define @t9 () (forall @t8 (=> @t7 @t6))) % 17.30/17.51 (define @t10 () (=> @t2 @t9)) % 17.30/17.51 (define @t11 () (forall @t3 @t10)) % 17.30/17.51 (define @t12 () (@var "W2" $$unsorted)) % 17.30/17.51 (define @t13 () (tptp.aElementOf0 @t12 @t1)) % 17.30/17.51 (define @t14 () (@list @t12)) % 17.30/17.51 (define @t15 () (tptp.aSet0 @t5)) % 17.30/17.51 (define @t16 () (tptp.aSubsetOf0 @t5 @t1)) % 17.30/17.51 (define @t17 () (tptp.sdtlseqdt0 @t1 @t5)) % 17.30/17.51 (define @t18 () (and @t4 @t6)) % 17.30/17.51 (define @t19 () (@list @t1 @t5)) % 17.30/17.51 (define @t20 () (tptp.sdtlseqdt0 @t5 @t1)) % 17.30/17.51 (define @t21 () (tptp.sdtlseqdt0 @t1 @t12)) % 17.30/17.51 (define @t22 () (tptp.sdtlseqdt0 @t5 @t12)) % 17.30/17.51 (define @t23 () (and @t17 @t22)) % 17.30/17.51 (define @t24 () (=> @t23 @t21)) % 17.30/17.51 (define @t25 () (tptp.aElement0 @t12)) % 17.30/17.51 (define @t26 () (and @t4 @t6 @t25)) % 17.30/17.51 (define @t27 () (forall (@list @t1 @t5 @t12) (=> @t26 @t24))) % 17.30/17.51 (define @t28 () (@var "W3" $$unsorted)) % 17.30/17.51 (define @t29 () (tptp.sdtlseqdt0 @t12 @t28)) % 17.30/17.51 (define @t30 () (tptp.aElementOf0 @t28 @t5)) % 17.30/17.51 (define @t31 () (@list @t28)) % 17.30/17.51 (define @t32 () (tptp.aLowerBoundOfIn0 @t12 @t5 @t1)) % 17.30/17.51 (define @t33 () (tptp.sdtlseqdt0 @t28 @t12)) % 17.30/17.51 (define @t34 () (tptp.aUpperBoundOfIn0 @t12 @t5 @t1)) % 17.30/17.51 (define @t35 () (tptp.aInfimumOfIn0 @t12 @t5 @t1)) % 17.30/17.51 (define @t36 () (tptp.aSupremumOfIn0 @t12 @t5 @t1)) % 17.30/17.51 (define @t37 () (= @t12 @t28)) % 17.30/17.51 (define @t38 () (tptp.aSupremumOfIn0 @t28 @t5 @t1)) % 17.30/17.51 (define @t39 () (@list @t12 @t28)) % 17.30/17.51 (define @t40 () (tptp.aFunction0 @t1)) % 17.30/17.51 (define @t41 () (tptp.szDzozmdt0 @t1)) % 17.30/17.51 (define @t42 () (tptp.szRzazndt0 @t1)) % 17.30/17.51 (define @t43 () (tptp.sdtlpdtrp0 @t1 @t5)) % 17.30/17.51 (define @t44 () (tptp.aElementOf0 @t43 @t42)) % 17.30/17.51 (define @t45 () (tptp.aElementOf0 @t5 @t41)) % 17.30/17.51 (define @t46 () (forall @t8 (=> @t45 @t44))) % 17.30/17.51 (define @t47 () (=> @t40 @t46)) % 17.30/17.51 (define @t48 () (forall @t3 @t47)) % 17.30/17.51 (define @t49 () (tptp.szRzazndt0 tptp.xf)) % 17.30/17.51 (define @t50 () (tptp.szDzozmdt0 tptp.xf)) % 17.30/17.51 (define @t51 () (tptp.sdtlpdtrp0 tptp.xf @t1)) % 17.30/17.51 (define @t52 () (tptp.sdtlseqdt0 @t51 (tptp.sdtlpdtrp0 tptp.xf @t5))) % 17.30/17.51 (define @t53 () (=> @t17 @t52)) % 17.30/17.51 (define @t54 () (tptp.aElementOf0 @t5 @t50)) % 17.30/17.51 (define @t55 () (tptp.aElementOf0 @t1 @t50)) % 17.30/17.51 (define @t56 () (and @t55 @t54)) % 17.30/17.51 (define @t57 () (forall @t19 (=> @t56 @t53))) % 17.30/17.51 (define @t58 () (tptp.aFunction0 tptp.xf)) % 17.30/17.51 (define @t59 () (@var "W4" $$unsorted)) % 17.30/17.51 (define @t60 () (tptp.aElementOf0 @t28 @t1)) % 17.30/17.51 (define @t61 () (tptp.aElementOf0 @t12 tptp.xU)) % 17.30/17.51 (define @t62 () (tptp.aElementOf0 @t5 tptp.xU)) % 17.30/17.51 (define @t63 () (tptp.aSet0 tptp.xU)) % 17.30/17.51 (define @t64 () (tptp.cS1142 tptp.xf)) % 17.30/17.51 (define @t65 () (tptp.aElementOf0 @t1 tptp.xS)) % 17.30/17.51 (define @t66 () (tptp.aFixedPointOf0 @t1 tptp.xf)) % 17.30/17.51 (define @t67 () (= @t51 @t1)) % 17.30/17.51 (define @t68 () (and @t55 @t67)) % 17.30/17.51 (define @t69 () (or @t68 @t66)) % 17.30/17.51 (define @t70 () (=> @t69 @t65)) % 17.30/17.51 (define @t71 () (and @t55 @t67 @t66)) % 17.30/17.51 (define @t72 () (=> @t65 @t71)) % 17.30/17.51 (define @t73 () (and @t72 @t70)) % 17.30/17.51 (define @t74 () (forall @t3 @t73)) % 17.30/17.51 (define @t75 () (tptp.aElementOf0 @t1 tptp.xT)) % 17.30/17.51 (define @t76 () (forall @t3 (=> @t75 @t65))) % 17.30/17.51 (define @t77 () (tptp.cS1241 tptp.xU tptp.xf tptp.xT)) % 17.30/17.51 (define @t78 () (= tptp.xP @t77)) % 17.30/17.51 (define @t79 () (tptp.aElementOf0 @t1 tptp.xP)) % 17.30/17.51 (define @t80 () (tptp.aUpperBoundOfIn0 @t1 tptp.xT tptp.xU)) % 17.30/17.51 (define @t81 () (tptp.aElementOf0 @t5 tptp.xT)) % 17.30/17.51 (define @t82 () (forall @t8 (=> @t81 @t20))) % 17.30/17.51 (define @t83 () (or @t82 @t80)) % 17.30/17.51 (define @t84 () (tptp.sdtlseqdt0 @t51 @t1)) % 17.30/17.51 (define @t85 () (tptp.aElementOf0 @t1 tptp.xU)) % 17.30/17.51 (define @t86 () (and @t85 @t84 @t83)) % 17.30/17.51 (define @t87 () (=> @t86 @t79)) % 17.30/17.51 (define @t88 () (and @t85 @t84 @t82 @t80)) % 17.30/17.51 (define @t89 () (=> @t79 @t88)) % 17.30/17.51 (define @t90 () (and @t89 @t87)) % 17.30/17.51 (define @t91 () (forall @t3 @t90)) % 17.30/17.51 (define @t92 () (tptp.aSet0 tptp.xP)) % 17.30/17.51 (define @t93 () (tptp.sdtlseqdt0 @t1 tptp.xp)) % 17.30/17.51 (define @t94 () (tptp.aLowerBoundOfIn0 @t1 tptp.xP tptp.xU)) % 17.30/17.51 (define @t95 () (tptp.aElementOf0 @t5 tptp.xP)) % 17.30/17.51 (define @t96 () (forall @t8 (=> @t95 @t17))) % 17.30/17.51 (define @t97 () (and @t85 @t96)) % 17.30/17.51 (define @t98 () (or @t97 @t94)) % 17.30/17.51 (define @t99 () (=> @t98 @t93)) % 17.30/17.51 (define @t100 () (forall @t3 @t99)) % 17.30/17.51 (define @t101 () (tptp.sdtlseqdt0 tptp.xp @t1)) % 17.30/17.51 (define @t102 () (forall @t3 (=> @t79 @t101))) % 17.30/17.51 (define @t103 () (tptp.aElementOf0 tptp.xp tptp.xU)) % 17.30/17.51 (define @t104 () (tptp.sdtlpdtrp0 tptp.xf tptp.xp)) % 17.30/17.51 (define @t105 () (tptp.aUpperBoundOfIn0 @t104 tptp.xT tptp.xU)) % 17.30/17.51 (define @t106 () (tptp.sdtlseqdt0 @t1 @t104)) % 17.30/17.51 (define @t107 () (forall @t3 (=> @t75 @t106))) % 17.30/17.51 (define @t108 () (or @t107 @t105)) % 17.30/17.51 (define @t109 () (tptp.aLowerBoundOfIn0 @t104 tptp.xP tptp.xU)) % 17.30/17.51 (define @t110 () (tptp.sdtlseqdt0 @t104 @t1)) % 17.30/17.51 (define @t111 () (forall @t3 (=> @t79 @t110))) % 17.30/17.51 (define @t112 () (or @t111 @t109)) % 17.30/17.51 (define @t113 () (and @t112 @t108)) % 17.30/17.51 (define @t114 () (not @t113)) % 17.30/17.51 (define @t115 () (not @t94)) % 17.30/17.51 (define @t116 () (not @t95)) % 17.30/17.51 (define @t117 () (or @t116 @t17)) % 17.30/17.51 (define @t118 () (forall @t8 @t117)) % 17.30/17.51 (define @t119 () (not @t118)) % 17.30/17.51 (define @t120 () (not @t85)) % 17.30/17.51 (define @t121 () (or @t120 @t119)) % 17.30/17.51 (define @t122 () (and @t121 @t115)) % 17.30/17.51 (define @t123 () (or @t122 @t93)) % 17.30/17.51 (define @t124 () (and @t85 @t118)) % 17.30/17.51 (define @t125 () (or @t124 @t94)) % 17.30/17.51 (define @t126 () (not @t75)) % 17.30/17.51 (define @t127 () (forall @t3 (or @t126 @t106))) % 17.30/17.51 (define @t128 () (@quantifiers_skolemize @t127 0)) % 17.30/17.51 (define @t129 () (@list @t128)) % 17.30/17.51 (define @t130 () (not @t17)) % 17.30/17.51 (define @t131 () (not @t54)) % 17.30/17.51 (define @t132 () (not @t55)) % 17.30/17.51 (define @t133 () (@var "BOUND_VARIABLE_8347" $$unsorted)) % 17.30/17.51 (define @t134 () (tptp.aElementOf0 @t133 tptp.xS)) % 17.30/17.51 (define @t135 () (and (or (not (tptp.aElementOf0 @t133 @t50)) (not (= @t133 (tptp.sdtlpdtrp0 tptp.xf @t133)))) (not (tptp.aFixedPointOf0 @t133 tptp.xf)))) % 17.30/17.51 (define @t136 () (or @t135 @t134)) % 17.30/17.51 (define @t137 () (forall (@list @t133) @t136)) % 17.30/17.51 (define @t138 () (@var "BOUND_VARIABLE_8335" $$unsorted)) % 17.30/17.51 (define @t139 () (and (tptp.aElementOf0 @t138 @t50) (= @t138 (tptp.sdtlpdtrp0 tptp.xf @t138)) (tptp.aFixedPointOf0 @t138 tptp.xf))) % 17.30/17.51 (define @t140 () (tptp.aElementOf0 @t138 tptp.xS)) % 17.30/17.51 (define @t141 () (not @t140)) % 17.30/17.51 (define @t142 () (or @t141 @t139)) % 17.30/17.51 (define @t143 () (forall (@list @t138) @t142)) % 17.30/17.51 (define @t144 () (not @t66)) % 17.30/17.51 (define @t145 () (= @t1 @t51)) % 17.30/17.51 (define @t146 () (or (and (or @t132 (not @t145)) @t144) @t65)) % 17.30/17.51 (define @t147 () (forall @t3 @t146)) % 17.30/17.51 (define @t148 () (@list @t1)) % 17.30/17.51 (define @t149 () (and @t55 @t145 @t66)) % 17.30/17.51 (define @t150 () (or (not @t65) @t149)) % 17.30/17.51 (define @t151 () (forall @t3 @t150)) % 17.30/17.51 (define @t152 () (and @t151 @t147)) % 17.30/17.51 (define @t153 () (and @t55 @t145)) % 17.30/17.51 (define @t154 () (or @t153 @t66)) % 17.30/17.51 (define @t155 () (and (=> @t65 @t149) (=> @t154 @t65))) % 17.30/17.51 (define @t156 () (or @t126 @t65)) % 17.30/17.51 (define @t157 () (tptp.cS1241 @t49 tptp.xf tptp.xT)) % 17.30/17.51 (define @t158 () (forall @t3 (or (not (tptp.aElementOf0 @t1 @t157)) @t110))) % 17.30/17.51 (define @t159 () (@quantifiers_skolemize @t158 0)) % 17.30/17.51 (define @t160 () (tptp.aElementOf0 @t159 @t157)) % 17.30/17.51 (define @t161 () (tptp.sdtlseqdt0 @t104 @t159)) % 17.30/17.51 (define @t162 () (not @t160)) % 17.30/17.51 (define @t163 () (or @t162 @t161)) % 17.30/17.51 (define @t164 () (@var "BOUND_VARIABLE_7764" $$unsorted)) % 17.30/17.51 (define @t165 () (tptp.aElement0 @t164)) % 17.30/17.51 (define @t166 () (not (tptp.aElementOf0 @t164 @t1))) % 17.30/17.51 (define @t167 () (not @t2)) % 17.30/17.51 (define @t168 () (or @t166 @t165)) % 17.30/17.51 (define @t169 () (or @t167 @t168)) % 17.30/17.51 (define @t170 () (forall (@list @t1 @t164) @t169)) % 17.30/17.51 (define @t171 () (@list @t164)) % 17.30/17.51 (define @t172 () (forall @t171 @t169)) % 17.30/17.51 (define @t173 () (forall @t171 @t168)) % 17.30/17.51 (define @t174 () (@list @t5)) % 17.30/17.51 (define @t175 () (or @t167 @t173)) % 17.30/17.51 (define @t176 () (forall @t8 (or (not @t7) @t6))) % 17.30/17.51 (define @t177 () (tptp.aElement0 @t159)) % 17.30/17.51 (define @t178 () (tptp.aSet0 @t157)) % 17.30/17.51 (define @t179 () (not @t178)) % 17.30/17.51 (define @t180 () (or @t179 @t162 @t177)) % 17.30/17.51 (define @t181 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 17.30/17.51 (define @t182 () (tptp.aElementOf0 @t181 tptp.xP)) % 17.30/17.51 (define @t183 () (tptp.aUpperBoundOfIn0 @t181 tptp.xT tptp.xU)) % 17.30/17.51 (define @t184 () (not @t183)) % 17.30/17.51 (define @t185 () (not @t81)) % 17.30/17.51 (define @t186 () (not (forall @t8 (or @t185 (tptp.sdtlseqdt0 @t5 @t181))))) % 17.30/17.51 (define @t187 () (and @t186 @t184)) % 17.30/17.51 (define @t188 () (not (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf @t181) @t181))) % 17.30/17.51 (define @t189 () (tptp.aElementOf0 @t181 tptp.xU)) % 17.30/17.51 (define @t190 () (not @t189)) % 17.30/17.51 (define @t191 () (or @t190 @t188 @t187 @t182)) % 17.30/17.51 (define @t192 () (forall (@list @t181) @t191)) % 17.30/17.51 (define @t193 () (@var "BOUND_VARIABLE_8391" $$unsorted)) % 17.30/17.51 (define @t194 () (tptp.aUpperBoundOfIn0 @t193 tptp.xT tptp.xU)) % 17.30/17.51 (define @t195 () (@var "BOUND_VARIABLE_8425" $$unsorted)) % 17.30/17.51 (define @t196 () (or (not (tptp.aElementOf0 @t195 tptp.xT)) (tptp.sdtlseqdt0 @t195 @t193))) % 17.30/17.51 (define @t197 () (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf @t193) @t193)) % 17.30/17.51 (define @t198 () (tptp.aElementOf0 @t193 tptp.xU)) % 17.30/17.51 (define @t199 () (and @t198 @t197 @t196 @t194)) % 17.30/17.51 (define @t200 () (tptp.aElementOf0 @t193 tptp.xP)) % 17.30/17.51 (define @t201 () (not @t200)) % 17.30/17.51 (define @t202 () (or @t201 @t199)) % 17.30/17.51 (define @t203 () (forall (@list @t193 @t195) @t202)) % 17.30/17.51 (define @t204 () (@list @t195)) % 17.30/17.51 (define @t205 () (forall @t204 @t202)) % 17.30/17.51 (define @t206 () (@list @t193)) % 17.30/17.51 (define @t207 () (forall @t204 @t194)) % 17.30/17.51 (define @t208 () (forall @t204 @t196)) % 17.30/17.51 (define @t209 () (forall @t204 @t197)) % 17.30/17.51 (define @t210 () (forall @t204 @t198)) % 17.30/17.51 (define @t211 () (and @t210 @t209 @t208 @t207)) % 17.30/17.51 (define @t212 () (forall @t204 @t199)) % 17.30/17.51 (define @t213 () (or @t201 @t212)) % 17.30/17.51 (define @t214 () (forall @t206 (or @t201 (and @t198 @t197 (forall @t8 (or @t185 (tptp.sdtlseqdt0 @t5 @t193))) @t194)))) % 17.30/17.51 (define @t215 () (forall @t8 (or @t185 @t20))) % 17.30/17.51 (define @t216 () (and (not @t215) (not @t80))) % 17.30/17.51 (define @t217 () (not @t84)) % 17.30/17.51 (define @t218 () (or @t120 @t217 @t216 @t79)) % 17.30/17.51 (define @t219 () (forall @t3 @t218)) % 17.30/17.51 (define @t220 () (and @t85 @t84 @t215 @t80)) % 17.30/17.51 (define @t221 () (not @t79)) % 17.30/17.51 (define @t222 () (or @t221 @t220)) % 17.30/17.51 (define @t223 () (forall @t3 @t222)) % 17.30/17.51 (define @t224 () (and @t223 @t219)) % 17.30/17.51 (define @t225 () (or @t215 @t80)) % 17.30/17.51 (define @t226 () (not @t225)) % 17.30/17.51 (define @t227 () (or @t120 @t217 @t226)) % 17.30/17.51 (define @t228 () (and @t85 @t84 @t225)) % 17.30/17.51 (define @t229 () (and (=> @t79 @t220) (=> @t228 @t79))) % 17.30/17.51 (define @t230 () (tptp.sdtlpdtrp0 tptp.xf @t159)) % 17.30/17.51 (define @t231 () (tptp.sdtlseqdt0 @t230 @t159)) % 17.30/17.51 (define @t232 () (tptp.aElementOf0 @t159 @t49)) % 17.30/17.51 (define @t233 () (and @t232 @t231 (or (not (tptp.aElementOf0 tptp.xf tptp.xT)) (tptp.sdtlseqdt0 tptp.xf @t159)) (tptp.aUpperBoundOfIn0 @t159 tptp.xT @t49))) % 17.30/17.51 (define @t234 () (or @t162 @t233)) % 17.30/17.51 (define @t235 () (or @t221 @t101)) % 17.30/17.51 (define @t236 () (tptp.sdtlseqdt0 tptp.xp @t159)) % 17.30/17.51 (define @t237 () (or @t162 @t236)) % 17.30/17.51 (define @t238 () (not @t233)) % 17.30/17.51 (define @t239 () (= @t49 @t50)) % 17.30/17.51 (define @t240 () (tptp.aElementOf0 @t159 @t50)) % 17.30/17.51 (define @t241 () (and @t239 @t232)) % 17.30/17.51 (define @t242 () (@var "BOUND_VARIABLE_8179" $$unsorted)) % 17.30/17.51 (define @t243 () (tptp.aElementOf0 (tptp.sdtlpdtrp0 @t1 @t242) @t42)) % 17.30/17.51 (define @t244 () (not (tptp.aElementOf0 @t242 @t41))) % 17.30/17.51 (define @t245 () (not @t40)) % 17.30/17.51 (define @t246 () (or @t244 @t243)) % 17.30/17.51 (define @t247 () (or @t245 @t246)) % 17.30/17.51 (define @t248 () (forall (@list @t1 @t242) @t247)) % 17.30/17.51 (define @t249 () (@list @t242)) % 17.30/17.51 (define @t250 () (forall @t249 @t247)) % 17.30/17.51 (define @t251 () (forall @t249 @t246)) % 17.30/17.51 (define @t252 () (or @t245 @t251)) % 17.30/17.51 (define @t253 () (forall @t8 (or (not @t45) @t44))) % 17.30/17.51 (define @t254 () (tptp.aElementOf0 @t230 @t49)) % 17.30/17.51 (define @t255 () (not @t240)) % 17.30/17.51 (define @t256 () (not @t58)) % 17.30/17.51 (define @t257 () (or @t256 @t255 @t254)) % 17.30/17.51 (define @t258 () (tptp.aElementOf0 tptp.xp @t50)) % 17.30/17.51 (define @t259 () (tptp.sdtlseqdt0 @t104 @t230)) % 17.30/17.51 (define @t260 () (not @t236)) % 17.30/17.51 (define @t261 () (not @t258)) % 17.30/17.51 (define @t262 () (or @t261 @t255 @t260 @t259)) % 17.30/17.51 (define @t263 () (tptp.aElement0 @t230)) % 17.30/17.51 (define @t264 () (not @t254)) % 17.30/17.51 (define @t265 () (tptp.aSet0 @t49)) % 17.30/17.51 (define @t266 () (not @t265)) % 17.30/17.51 (define @t267 () (or @t266 @t264 @t263)) % 17.30/17.51 (define @t268 () (tptp.aElementOf0 @t104 @t49)) % 17.30/17.51 (define @t269 () (or @t256 @t261 @t268)) % 17.30/17.51 (define @t270 () (@list false false false)) % 17.30/17.51 (define @t271 () (tptp.aElement0 @t104)) % 17.30/17.51 (define @t272 () (not @t268)) % 17.30/17.51 (define @t273 () (or @t266 @t272 @t271)) % 17.30/17.51 (define @t274 () (not @t22)) % 17.30/17.51 (define @t275 () (not @t25)) % 17.30/17.51 (define @t276 () (not @t6)) % 17.30/17.51 (define @t277 () (not @t4)) % 17.30/17.51 (define @t278 () (or @t130 @t274 @t21)) % 17.30/17.51 (define @t279 () (or @t277 @t276 @t275)) % 17.30/17.51 (define @t280 () (not @t231)) % 17.30/17.51 (define @t281 () (not @t259)) % 17.30/17.51 (define @t282 () (not @t177)) % 17.30/17.51 (define @t283 () (not @t263)) % 17.30/17.51 (define @t284 () (not @t271)) % 17.30/17.51 (define @t285 () (or @t284 @t283 @t282 @t281 @t280 @t161)) % 17.30/17.51 (define @t286 () (not @t163)) % 17.30/17.51 (define @t287 () (not @t158)) % 17.30/17.51 (define @t288 () (@list false)) % 17.30/17.51 (define @t289 () (or @t158 (tptp.aLowerBoundOfIn0 @t104 @t157 @t49))) % 17.30/17.51 (define @t290 () (or @t127 @t105)) % 17.30/17.51 (define @t291 () (or @t221 @t110)) % 17.30/17.51 (define @t292 () (forall @t3 @t291)) % 17.30/17.51 (define @t293 () (or @t292 @t109)) % 17.30/17.51 (define @t294 () (and @t293 @t290)) % 17.30/17.51 (define @t295 () (or @t127 (tptp.aUpperBoundOfIn0 @t104 tptp.xT @t49))) % 17.30/17.51 (define @t296 () (not @t127)) % 17.30/17.51 (define @t297 () (@list true)) % 17.30/17.51 (define @t298 () (tptp.sdtlseqdt0 @t128 @t104)) % 17.30/17.51 (define @t299 () (tptp.aElementOf0 @t128 tptp.xT)) % 17.30/17.51 (define @t300 () (not @t299)) % 17.30/17.51 (define @t301 () (or @t300 @t298)) % 17.30/17.51 (define @t302 () (not @t301)) % 17.30/17.51 (define @t303 () (@list @t301)) % 17.30/17.51 (define @t304 () (tptp.aElementOf0 @t128 @t64)) % 17.30/17.51 (define @t305 () (or @t300 @t304)) % 17.30/17.51 (define @t306 () (@list false false)) % 17.30/17.51 (define @t307 () (tptp.sdtlpdtrp0 tptp.xf @t128)) % 17.30/17.51 (define @t308 () (= @t128 @t307)) % 17.30/17.51 (define @t309 () (tptp.aElementOf0 @t128 @t50)) % 17.30/17.51 (define @t310 () (and @t309 @t308 (tptp.aFixedPointOf0 @t128 tptp.xf))) % 17.30/17.51 (define @t311 () (not @t304)) % 17.30/17.51 (define @t312 () (or @t311 @t310)) % 17.30/17.51 (define @t313 () (not @t298)) % 17.30/17.51 (define @t314 () (tptp.sdtlseqdt0 @t307 @t104)) % 17.30/17.51 (define @t315 () (not @t314)) % 17.30/17.51 (define @t316 () (not @t308)) % 17.30/17.51 (define @t317 () (and @t313 @t308)) % 17.30/17.51 (define @t318 () (@list true false)) % 17.30/17.51 (define @t319 () (forall @t14 (or (not (tptp.aElementOf0 @t12 @t64)) (tptp.aElementOf0 @t12 @t49)))) % 17.30/17.51 (define @t320 () (@quantifiers_skolemize @t319 0)) % 17.30/17.51 (define @t321 () (tptp.aElementOf0 @t320 @t64)) % 17.30/17.51 (define @t322 () (tptp.aElementOf0 @t320 @t49)) % 17.30/17.51 (define @t323 () (not @t321)) % 17.30/17.51 (define @t324 () (or @t323 @t322)) % 17.30/17.51 (define @t325 () (tptp.aElementOf0 @t320 @t50)) % 17.30/17.51 (define @t326 () (and @t325 (= @t320 (tptp.sdtlpdtrp0 tptp.xf @t320)) (tptp.aFixedPointOf0 @t320 tptp.xf))) % 17.30/17.51 (define @t327 () (or @t323 @t326)) % 17.30/17.51 (define @t328 () (not @t325)) % 17.30/17.51 (define @t329 () (not @t239)) % 17.30/17.51 (define @t330 () (not @t322)) % 17.30/17.51 (define @t331 () (and @t239 @t330)) % 17.30/17.51 (define @t332 () (not @t324)) % 17.30/17.51 (define @t333 () (not @t319)) % 17.30/17.51 (define @t334 () (tptp.aElementOf0 @t128 @t49)) % 17.30/17.51 (define @t335 () (or @t311 @t334)) % 17.30/17.51 (define @t336 () (and @t239 @t334)) % 17.30/17.51 (define @t337 () (tptp.sdtlseqdt0 @t128 tptp.xp)) % 17.30/17.51 (define @t338 () (not @t337)) % 17.30/17.51 (define @t339 () (not @t309)) % 17.30/17.51 (define @t340 () (or @t339 @t261 @t338 @t314)) % 17.30/17.51 (define @t341 () (forall @t8 (or (not (tptp.aElementOf0 @t5 @t157)) (tptp.sdtlseqdt0 @t128 @t5)))) % 17.30/17.51 (define @t342 () (not @t341)) % 17.30/17.51 (define @t343 () (not @t334)) % 17.30/17.51 (define @t344 () (or @t343 @t342)) % 17.30/17.51 (define @t345 () (and @t344 (not (tptp.aLowerBoundOfIn0 @t128 @t157 @t49)))) % 17.30/17.51 (define @t346 () (or @t345 @t337)) % 17.30/17.51 (define @t347 () (@quantifiers_skolemize @t341 0)) % 17.30/17.51 (define @t348 () (tptp.sdtlseqdt0 @t128 @t347)) % 17.30/17.51 (define @t349 () (tptp.aElementOf0 @t347 @t157)) % 17.30/17.51 (define @t350 () (not @t349)) % 17.30/17.51 (define @t351 () (or @t350 @t348)) % 17.30/17.51 (define @t352 () (not @t351)) % 17.30/17.51 (define @t353 () (@list @t351)) % 17.30/17.51 (define @t354 () (or @t300 @t348)) % 17.30/17.51 (define @t355 () (not @t354)) % 17.30/17.51 (define @t356 () (and (tptp.aElementOf0 @t347 @t49) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf @t347) @t347) @t354 (tptp.aUpperBoundOfIn0 @t347 tptp.xT @t49))) % 17.30/17.51 (define @t357 () (not @t356)) % 17.30/17.51 (define @t358 () (or @t350 @t356)) % 17.30/17.51 (assume @p1 (forall @t3 (=> @t2 true))) % 17.30/17.51 (assume @p2 (forall @t3 (=> @t4 true))) % 17.30/17.51 (assume @p3 @t11) % 17.30/17.51 (assume @p4 (forall @t3 (=> @t2 (= (tptp.isEmpty0 @t1) (not (exists @t8 @t7)))))) % 17.30/17.51 (assume @p5 (forall @t3 (=> @t2 (forall @t8 (= @t16 (and @t15 (forall @t14 (=> (tptp.aElementOf0 @t12 @t5) @t13)))))))) % 17.30/17.51 (assume @p6 (forall @t19 (=> @t18 (=> @t17 true)))) % 17.30/17.51 (assume @p7 (forall @t3 (=> @t4 (tptp.sdtlseqdt0 @t1 @t1)))) % 17.30/17.51 (assume @p8 (forall @t19 (=> @t18 (=> (and @t17 @t20) (= @t1 @t5))))) % 17.30/17.51 (assume @p9 @t27) % 17.30/17.51 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t14 (= @t32 (and @t13 (forall @t31 (=> @t30 @t29)))))))))) % 17.30/17.51 (assume @p11 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t14 (= @t34 (and @t13 (forall @t31 (=> @t30 @t33)))))))))) % 17.30/17.51 (assume @p12 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t14 (= @t35 (and @t13 @t32 (forall @t31 (=> (tptp.aLowerBoundOfIn0 @t28 @t5 @t1) @t33)))))))))) % 17.30/17.51 (assume @p13 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t14 (= @t36 (and @t13 @t34 (forall @t31 (=> (tptp.aUpperBoundOfIn0 @t28 @t5 @t1) @t29)))))))))) % 17.30/17.51 (assume @p14 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t39 (=> (and @t36 @t38) @t37))))))) % 17.30/17.51 (assume @p15 (forall @t3 (=> @t2 (forall @t8 (=> @t16 (forall @t39 (=> (and @t35 (tptp.aInfimumOfIn0 @t28 @t5 @t1)) @t37))))))) % 17.30/17.51 (assume @p16 (forall @t3 (= (tptp.aCompleteLattice0 @t1) (and @t2 (forall @t8 (=> @t16 (exists @t14 (and @t35 (exists @t31 @t38))))))))) % 17.30/17.51 (assume @p17 (forall @t3 (=> @t40 true))) % 17.30/17.51 (assume @p18 (forall @t3 (=> @t40 (tptp.aSet0 @t41)))) % 17.30/17.51 (assume @p19 (forall @t3 (=> @t40 (tptp.aSet0 @t42)))) % 17.30/17.51 (assume @p20 (forall @t19 (=> (and @t40 @t15) (= (tptp.isOn0 @t1 @t5) (and (= @t41 @t42) (= @t42 @t5)))))) % 17.30/17.51 (assume @p21 @t48) % 17.30/17.51 (assume @p22 (forall @t3 (=> @t40 (forall @t8 (= (tptp.aFixedPointOf0 @t5 @t1) (and @t45 (= @t43 @t5))))))) % 17.30/17.51 (assume @p23 (forall @t3 (=> @t40 (= (tptp.isMonotone0 @t1) (forall (@list @t5 @t12) (=> (and @t45 (tptp.aElementOf0 @t12 @t41)) (=> @t22 (tptp.sdtlseqdt0 @t43 (tptp.sdtlpdtrp0 @t1 @t12))))))))) % 17.30/17.51 (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 @t22)) (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))) % 17.30/17.51 (assume @p25 (and (tptp.aSet0 tptp.xS) @t74 (= tptp.xS @t64))) % 17.30/17.51 (assume @p26 (and (tptp.aSet0 tptp.xT) @t76 (tptp.aSubsetOf0 tptp.xT tptp.xS))) % 17.30/17.51 (assume @p27 (and @t92 @t91 @t78)) % 17.30/17.51 (assume @p28 (and @t103 @t103 @t102 (tptp.aLowerBoundOfIn0 tptp.xp tptp.xP tptp.xU) @t100 (tptp.aInfimumOfIn0 tptp.xp tptp.xP tptp.xU))) % 17.30/17.51 (assume @p29 @t114) % 17.30/17.51 (assume @p30 true) % 17.30/17.51 (step @p31 :rule refl :args (@t93)) % 17.30/17.51 (step @p32 :rule and_elim :premises (@p24) :args (7)) % 17.30/17.51 (step @p33 :rule symm :premises (@p32)) % 17.30/17.51 (step @p34 :rule refl :args (tptp.xT)) % 17.30/17.51 (step @p35 :rule refl :args (tptp.xf)) % 17.30/17.51 (step @p36 :rule cong :premises (@p33 @p35 @p34) :args (@t77)) % 17.30/17.51 (step @p37 :rule refl :args (tptp.xP)) % 17.30/17.51 (step @p38 :rule cong :premises (@p37 @p36) :args (@t78)) % 17.30/17.51 (step @p39 :rule and_elim :premises (@p27) :args (2)) % 17.30/17.51 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 17.30/17.51 (step @p41 :rule refl :args (@t1)) % 17.30/17.51 (step @p42 :rule cong :premises (@p41 @p40 @p33) :args (@t94)) % 17.30/17.51 (step @p43 :rule cong :premises (@p42) :args (@t115)) % 17.30/17.51 (step @p44 :rule refl :args (@t17)) % 17.30/17.51 (step @p45 :rule refl :args (@t5)) % 17.30/17.51 (step @p46 :rule cong :premises (@p45 @p40) :args (@t95)) % 17.30/17.51 (step @p47 :rule cong :premises (@p46) :args (@t116)) % 17.30/17.51 (step @p48 :rule nary_cong :premises (@p47 @p44) :args (@t117)) % 17.30/17.51 (step @p49 :rule cong :premises (@p48) :args (@t118)) % 17.30/17.51 (step @p50 :rule cong :premises (@p49) :args (@t119)) % 17.30/17.51 (step @p51 :rule cong :premises (@p41 @p33) :args (@t85)) % 17.30/17.51 (step @p52 :rule cong :premises (@p51) :args (@t120)) % 17.30/17.51 (step @p53 :rule nary_cong :premises (@p52 @p50) :args (@t121)) % 17.30/17.51 (step @p54 :rule nary_cong :premises (@p53 @p43) :args (@t122)) % 17.30/17.51 (step @p55 :rule nary_cong :premises (@p54 @p31) :args (@t123)) % 17.30/17.51 (step @p56 :rule cong :premises (@p55) :args ((forall @t3 @t123))) % 17.30/17.51 (step @p57 :rule refl :args (@t93)) % 17.30/17.51 (step @p58 :rule refl :args (@t115)) % 17.30/17.51 (step @p59 :rule bool-and-de-morgan :args (@t85 @t118 true)) % 17.30/17.51 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((and (not @t124) @t115))) % 17.30/17.51 (step @p61 :rule bool-or-de-morgan :args (@t124 @t94 false)) % 17.30/17.51 (step @p62 :rule trans :premises (@p61 @p60)) % 17.30/17.51 (step @p63 :rule nary_cong :premises (@p62 @p57) :args ((or (not @t125) @t93))) % 17.30/17.51 (step @p64 :rule bool-impl-elim :args (@t125 @t93)) % 17.30/17.51 (step @p65 :rule trans :premises (@p64 @p63)) % 17.30/17.51 (step @p66 :rule cong :premises (@p65) :args ((forall @t3 (=> @t125 @t93)))) % 17.30/17.51 (step @p67 :rule refl :args (@t94)) % 17.30/17.51 (step @p68 :rule bool-impl-elim :args (@t95 @t17)) % 17.30/17.51 (step @p69 :rule cong :premises (@p68) :args (@t96)) % 17.30/17.51 (step @p70 :rule refl :args (@t85)) % 17.30/17.51 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t97)) % 17.30/17.51 (step @p72 :rule nary_cong :premises (@p71 @p67) :args (@t98)) % 17.30/17.51 (step @p73 :rule cong :premises (@p72 @p31) :args (@t99)) % 17.30/17.51 (step @p74 :rule cong :premises (@p73) :args (@t100)) % 17.30/17.51 (step @p75 :rule trans :premises (@p74 @p66)) % 17.30/17.51 (step @p76 :rule trans :premises (@p75 @p56)) % 17.30/17.51 (step @p77 :rule and_elim :premises (@p28) :args (4)) % 17.30/17.51 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 17.30/17.51 (step @p79 :rule instantiate :premises (@p78) :args (@t129)) % 17.30/17.51 (step @p80 :rule aci_norm :args ((= (or (or @t132 @t131) (or @t130 @t52)) (or @t132 @t131 @t130 @t52)))) % 17.30/17.51 (step @p81 :rule bool-impl-elim :args (@t17 @t52)) % 17.30/17.51 (step @p82 :rule bool-and-de-morgan :args (@t55 @t54 true)) % 17.30/17.51 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t56) @t53))) % 17.30/17.51 (step @p84 :rule trans :premises (@p83 @p80)) % 17.30/17.51 (step @p85 :rule bool-impl-elim :args (@t56 @t53)) % 17.30/17.51 (step @p86 :rule trans :premises (@p85 @p84)) % 17.30/17.51 (step @p87 :rule cong :premises (@p86) :args (@t57)) % 17.30/17.51 (step @p88 :rule and_elim :premises (@p24) :args (4)) % 17.30/17.51 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 17.30/17.51 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t128 tptp.xp))) % 17.30/17.51 (step @p91 :rule and_elim :premises (@p25) :args (2)) % 17.30/17.51 (step @p92 :rule refl :args (@t133)) % 17.30/17.51 (step @p93 :rule cong :premises (@p92 @p91) :args (@t134)) % 17.30/17.51 (step @p94 :rule refl :args (@t135)) % 17.30/17.51 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t136)) % 17.30/17.51 (step @p96 :rule cong :premises (@p95) :args (@t137)) % 17.30/17.51 (step @p97 :rule refl :args (@t139)) % 17.30/17.51 (step @p98 :rule refl :args (@t138)) % 17.30/17.51 (step @p99 :rule cong :premises (@p98 @p91) :args (@t140)) % 17.30/17.51 (step @p100 :rule cong :premises (@p99) :args (@t141)) % 17.30/17.51 (step @p101 :rule nary_cong :premises (@p100 @p97) :args (@t142)) % 17.30/17.51 (step @p102 :rule cong :premises (@p101) :args (@t143)) % 17.30/17.51 (step @p103 :rule nary_cong :premises (@p102 @p96) :args ((and @t143 @t137))) % 17.30/17.51 (step @p104 :rule alpha_equiv :args (@t147 @t148 (@list @t133))) % 17.30/17.51 (step @p105 :rule alpha_equiv :args (@t151 @t148 (@list @t138))) % 17.30/17.51 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t152)) % 17.30/17.51 (step @p107 :rule quant-miniscope-and :args ((= (forall @t3 (and @t150 @t146)) @t152))) % 17.30/17.51 (step @p108 :rule trans :premises (@p107 @p106)) % 17.30/17.51 (step @p109 :rule refl :args (@t65)) % 17.30/17.51 (step @p110 :rule refl :args (@t144)) % 17.30/17.51 (step @p111 :rule bool-and-de-morgan :args (@t55 @t145 true)) % 17.30/17.51 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((and (not @t153) @t144))) % 17.30/17.51 (step @p113 :rule bool-or-de-morgan :args (@t153 @t66 false)) % 17.30/17.51 (step @p114 :rule trans :premises (@p113 @p112)) % 17.30/17.51 (step @p115 :rule nary_cong :premises (@p114 @p109) :args ((or (not @t154) @t65))) % 17.30/17.51 (step @p116 :rule bool-impl-elim :args (@t154 @t65)) % 17.30/17.51 (step @p117 :rule trans :premises (@p116 @p115)) % 17.30/17.51 (step @p118 :rule bool-impl-elim :args (@t65 @t149)) % 17.30/17.51 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t155)) % 17.30/17.51 (step @p120 :rule cong :premises (@p119) :args ((forall 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:premises (@p25) :args (1)) % 17.30/17.51 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 17.30/17.51 (step @p137 :rule and_elim :premises (@p136) :args (0)) % 17.30/17.51 (step @p138 :rule instantiate :premises (@p137) :args (@t129)) % 17.30/17.51 (step @p139 :rule cong :premises (@p41 @p91) :args (@t65)) % 17.30/17.51 (step @p140 :rule refl :args (@t126)) % 17.30/17.51 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t156)) % 17.30/17.51 (step @p142 :rule cong :premises (@p141) :args ((forall @t3 @t156))) % 17.30/17.51 (step @p143 :rule bool-impl-elim :args (@t75 @t65)) % 17.30/17.51 (step @p144 :rule cong :premises (@p143) :args (@t76)) % 17.30/17.51 (step @p145 :rule trans :premises (@p144 @p142)) % 17.30/17.51 (step @p146 :rule and_elim :premises (@p26) :args (1)) % 17.30/17.51 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 17.30/17.51 (step @p148 :rule instantiate :premises (@p147) :args (@t129)) % 17.30/17.51 (step @p149 :rule bool-double-not-elim :args (@t160)) % 17.30/17.51 (step @p150 :rule refl :args (@t163)) % 17.30/17.51 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t163 (not @t162)))) % 17.30/17.51 (step @p152 :rule cnf_or_neg :args (@t163 0)) % 17.30/17.51 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 17.30/17.51 (step @p154 :rule reordering :premises (@p153) :args ((or @t160 @t163))) % 17.30/17.51 (step @p155 :rule cnf_or_neg :args (@t163 1)) % 17.30/17.51 (step @p156 :rule cong :premises (@p40) :args (@t92)) % 17.30/17.51 (step @p157 :rule and_elim :premises (@p27) :args (0)) % 17.30/17.51 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 17.30/17.51 (step @p159 :rule aci_norm :args ((= @t169 (or @t167 @t166 @t165)))) % 17.30/17.51 (step @p160 :rule cong :premises (@p159) :args (@t170)) % 17.30/17.51 (step @p161 :rule quant-merge-prenex :args ((= (forall @t3 @t172) @t170))) % 17.30/17.51 (step @p162 :rule alpha_equiv :args (@t173 (@list @t164) @t174)) % 17.30/17.51 (step @p163 :rule 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17.30/17.51 (step @p178 :rule cong :premises (@p177) :args (@t11)) % 17.30/17.51 (step @p179 :rule trans :premises (@p178 @p173)) % 17.30/17.51 (step @p180 :rule eq_resolve :premises (@p3 @p179)) % 17.30/17.51 (step @p181 :rule instantiate :premises (@p180) :args ((@list @t157 @t159))) % 17.30/17.51 (step @p182 :rule cnf_or_pos :args (@t180)) % 17.30/17.51 (step @p183 :rule reordering :premises (@p182) :args ((or @t179 @t162 @t177 (not @t180)))) % 17.30/17.51 (step @p184 :rule refl :args (@t181)) % 17.30/17.51 (step @p185 :rule cong :premises (@p184 @p40) :args (@t182)) % 17.30/17.51 (step @p186 :rule cong :premises (@p184 @p34 @p33) :args (@t183)) % 17.30/17.51 (step @p187 :rule cong :premises (@p186) :args (@t184)) % 17.30/17.51 (step @p188 :rule refl :args (@t186)) % 17.30/17.51 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t187)) % 17.30/17.51 (step @p190 :rule refl :args (@t188)) % 17.30/17.51 (step @p191 :rule cong :premises (@p184 @p33) :args (@t189)) % 17.30/17.51 (step @p192 :rule cong :premises (@p191) :args (@t190)) % 17.30/17.51 (step @p193 :rule nary_cong :premises (@p192 @p190 @p189 @p185) :args (@t191)) % 17.30/17.51 (step @p194 :rule cong :premises (@p193) :args (@t192)) % 17.30/17.51 (step @p195 :rule refl :args (@t193)) % 17.30/17.51 (step @p196 :rule cong :premises (@p195 @p34 @p33) :args (@t194)) % 17.30/17.51 (step @p197 :rule refl :args (@t196)) % 17.30/17.51 (step @p198 :rule refl :args (@t197)) % 17.30/17.51 (step @p199 :rule cong :premises (@p195 @p33) :args (@t198)) % 17.30/17.51 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197 @p196) :args (@t199)) % 17.30/17.51 (step @p201 :rule cong :premises (@p195 @p40) :args (@t200)) % 17.30/17.51 (step @p202 :rule cong :premises (@p201) :args (@t201)) % 17.30/17.51 (step @p203 :rule nary_cong :premises (@p202 @p200) :args (@t202)) % 17.30/17.51 (step @p204 :rule cong :premises (@p203) :args (@t203)) % 17.30/17.51 (step @p205 :rule nary_cong :premises (@p204 @p194) :args ((and @t203 @t192))) % 17.30/17.51 (step @p206 :rule refl :args (@t192)) % 17.30/17.51 (step @p207 :rule quant-merge-prenex :args ((= (forall @t206 @t205) @t203))) % 17.30/17.51 (step @p208 :rule quant-unused-vars :args ((= @t207 @t194))) % 17.30/17.51 (step @p209 :rule alpha_equiv :args (@t208 (@list @t195) @t174)) % 17.30/17.51 (step @p210 :rule quant-unused-vars :args ((= @t209 @t197))) % 17.30/17.51 (step @p211 :rule quant-unused-vars :args ((= @t210 @t198))) % 17.30/17.51 (step @p212 :rule nary_cong :premises (@p211 @p210 @p209 @p208) :args (@t211)) % 17.30/17.51 (step @p213 :rule quant-miniscope-and :args ((= @t212 @t211))) % 17.30/17.51 (step @p214 :rule trans :premises (@p213 @p212)) % 17.30/17.51 (step @p215 :rule refl :args (@t201)) % 17.30/17.51 (step @p216 :rule nary_cong :premises (@p215 @p214) :args (@t213)) % 17.30/17.51 (step @p217 :rule quant-miniscope-or :args ((= @t205 @t213))) % 17.30/17.51 (step @p218 :rule trans :premises (@p217 @p216)) % 17.30/17.51 (step @p219 :rule symm :premises (@p218)) % 17.30/17.51 (step @p220 :rule cong :premises (@p219) :args (@t214)) % 17.30/17.51 (step @p221 :rule trans :premises (@p220 @p207)) % 17.30/17.51 (step @p222 :rule nary_cong :premises (@p221 @p206) :args ((and @t214 @t192))) % 17.30/17.51 (step @p223 :rule alpha_equiv :args (@t219 @t148 (@list @t181))) % 17.30/17.51 (step @p224 :rule alpha_equiv :args (@t223 @t148 (@list @t193))) % 17.30/17.51 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t224)) % 17.30/17.51 (step @p226 :rule quant-miniscope-and :args ((= (forall @t3 (and @t222 @t218)) @t224))) % 17.30/17.51 (step @p227 :rule trans :premises (@p226 @p225)) % 17.30/17.51 (step @p228 :rule trans :premises (@p227 @p222)) % 17.30/17.51 (step @p229 :rule aci_norm :args ((= (or (or @t120 @t217 @t216) @t79) @t218))) % 17.30/17.51 (step @p230 :rule refl :args (@t79)) % 17.30/17.51 (step @p231 :rule bool-or-de-morgan :args (@t215 @t80 false)) % 17.30/17.51 (step @p232 :rule refl :args (@t217)) % 17.30/17.51 (step @p233 :rule refl :args (@t120)) % 17.30/17.51 (step @p234 :rule nary_cong :premises (@p233 @p232 @p231) :args (@t227)) % 17.30/17.51 (step @p235 :rule aci_norm :args ((= (or @t120 (or @t217 @t226)) @t227))) % 17.30/17.51 (step @p236 :rule bool-and-de-morgan :args (@t84 @t225 true)) % 17.30/17.51 (step @p237 :rule nary_cong :premises (@p233 @p236) :args ((or @t120 (not (and @t84 @t225))))) % 17.30/17.51 (step @p238 :rule bool-and-de-morgan :args (@t85 @t84 (and @t225))) % 17.30/17.51 (step @p239 :rule trans :premises (@p238 @p237)) % 17.30/17.51 (step @p240 :rule trans :premises (@p239 @p235)) % 17.30/17.51 (step @p241 :rule trans :premises (@p240 @p234)) % 17.30/17.51 (step @p242 :rule nary_cong :premises (@p241 @p230) :args ((or (not @t228) @t79))) % 17.30/17.51 (step @p243 :rule trans :premises (@p242 @p229)) % 17.30/17.51 (step @p244 :rule bool-impl-elim :args (@t228 @t79)) % 17.30/17.51 (step @p245 :rule trans :premises (@p244 @p243)) % 17.30/17.51 (step @p246 :rule bool-impl-elim :args (@t79 @t220)) % 17.30/17.51 (step @p247 :rule nary_cong :premises (@p246 @p245) :args (@t229)) % 17.30/17.51 (step @p248 :rule cong :premises (@p247) :args ((forall @t3 @t229))) % 17.30/17.51 (step @p249 :rule trans :premises (@p248 @p228)) % 17.30/17.51 (step @p250 :rule refl :args (@t79)) % 17.30/17.51 (step @p251 :rule refl :args (@t80)) % 17.30/17.51 (step @p252 :rule bool-impl-elim :args (@t81 @t20)) % 17.30/17.51 (step @p253 :rule cong :premises (@p252) :args (@t82)) % 17.30/17.51 (step @p254 :rule nary_cong :premises (@p253 @p251) :args (@t83)) % 17.30/17.51 (step @p255 :rule refl :args (@t84)) % 17.30/17.51 (step @p256 :rule nary_cong :premises (@p70 @p255 @p254) :args (@t86)) % 17.30/17.51 (step @p257 :rule cong :premises (@p256 @p250) :args (@t87)) % 17.30/17.51 (step @p258 :rule nary_cong :premises (@p70 @p255 @p253 @p251) :args (@t88)) % 17.30/17.51 (step @p259 :rule cong :premises (@p250 @p258) :args (@t89)) % 17.30/17.51 (step @p260 :rule nary_cong :premises (@p259 @p257) :args (@t90)) % 17.30/17.51 (step @p261 :rule cong :premises (@p260) :args (@t91)) % 17.30/17.51 (step @p262 :rule trans :premises (@p261 @p249)) % 17.30/17.51 (step @p263 :rule trans :premises (@p262 @p205)) % 17.30/17.51 (step @p264 :rule and_elim :premises (@p27) :args (1)) % 17.30/17.51 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 17.30/17.51 (step @p266 :rule and_elim :premises (@p265) :args (0)) % 17.30/17.51 (step @p267 :rule instantiate :premises (@p266) :args ((@list @t159 tptp.xf))) % 17.30/17.51 (step @p268 :rule cnf_or_pos :args (@t234)) % 17.30/17.51 (step @p269 :rule reordering :premises (@p268) :args ((or @t162 @t233 (not @t234)))) % 17.30/17.51 (step @p270 :rule refl :args (@t101)) % 17.30/17.51 (step @p271 :rule cong :premises (@p41 @p40) :args (@t79)) % 17.30/17.51 (step @p272 :rule cong :premises (@p271) :args (@t221)) % 17.30/17.51 (step @p273 :rule nary_cong :premises (@p272 @p270) :args (@t235)) % 17.30/17.51 (step @p274 :rule cong :premises (@p273) :args ((forall @t3 @t235))) % 17.30/17.51 (step @p275 :rule bool-impl-elim :args (@t79 @t101)) % 17.30/17.51 (step @p276 :rule cong :premises (@p275) :args (@t102)) % 17.30/17.51 (step @p277 :rule trans :premises (@p276 @p274)) % 17.30/17.51 (step @p278 :rule and_elim :premises (@p28) :args (2)) % 17.30/17.51 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 17.30/17.51 (step @p280 :rule instantiate :premises (@p279) :args ((@list @t159))) % 17.30/17.51 (step @p281 :rule cnf_or_pos :args (@t237)) % 17.30/17.51 (step @p282 :rule reordering :premises (@p281) :args ((or @t162 @t236 (not @t237)))) % 17.30/17.51 (step @p283 :rule cnf_and_pos :args (@t233 0)) % 17.30/17.51 (step @p284 :rule reordering :premises (@p283) :args ((or @t232 @t238))) % 17.30/17.51 (step @p285 :rule cnf_and_pos :args (@t233 1)) % 17.30/17.51 (step @p286 :rule reordering :premises (@p285) :args ((or @t231 @t238))) % 17.30/17.51 (step @p287 :rule and_elim :premises (@p24) :args (6)) % 17.30/17.51 (step @p288 :rule symm :premises (@p287)) % 17.30/17.51 (assume-push @p597 @t239) % 17.30/17.51 (assume-push @p598 @t232) % 17.30/17.51 (assume-push @p599 @t232) % 17.30/17.51 (assume-push @p600 @t239) % 17.30/17.51 (step @p293 :rule true_intro :premises (@p598)) % 17.30/17.51 (step @p294 :rule refl :args (@t159)) % 17.30/17.51 (step @p295 :rule cong :premises (@p294 @p287) :args (@t240)) % 17.30/17.51 (step @p296 :rule trans :premises (@p295 @p293)) % 17.30/17.51 (step @p297 :rule true_elim :premises (@p296)) % 17.30/17.51 (step-pop @p601 :rule scope :premises (@p297)) % 17.30/17.51 (step-pop @p602 :rule scope :premises (@p601)) % 17.30/17.51 (step @p298 :rule process_scope :premises (@p602) :args (@t240)) % 17.30/17.51 (step @p301 :rule and_intro :premises (@p598 @p288)) % 17.30/17.51 (step @p302 :rule modus_ponens :premises (@p301 @p298)) % 17.30/17.51 (step-pop @p603 :rule scope :premises (@p302)) % 17.30/17.51 (step-pop @p604 :rule scope :premises (@p603)) 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:premises (@p606) :args (@t286)) % 17.30/17.51 (step @p392 :rule implies_elim :premises (@p390)) % 17.30/17.51 (step @p393 :rule eq_resolve :premises (@p392 @p387)) % 17.30/17.51 (step @p394 :rule chain_m_resolution :premises (@p393 @p384) :args (@t158 @t288 (@list @t163))) % 17.30/17.51 (step @p395 :rule cnf_or_neg :args (@t289 0)) % 17.30/17.51 (step @p396 :rule chain_m_resolution :premises (@p395 @p394) :args (@t289 @t288 (@list @t158))) % 17.30/17.51 (step @p397 :rule refl :args (@t104)) % 17.30/17.51 (step @p398 :rule cong :premises (@p397 @p34 @p33) :args (@t105)) % 17.30/17.51 (step @p399 :rule refl :args (@t127)) % 17.30/17.51 (step @p400 :rule nary_cong :premises (@p399 @p398) :args (@t290)) % 17.30/17.51 (step @p401 :rule cong :premises (@p397 @p40 @p33) :args (@t109)) % 17.30/17.51 (step @p402 :rule refl :args (@t110)) % 17.30/17.51 (step @p403 :rule nary_cong :premises (@p272 @p402) :args (@t291)) % 17.30/17.51 (step @p404 :rule cong :premises (@p403) :args (@t292)) % 17.30/17.51 (step @p405 :rule nary_cong :premises (@p404 @p401) :args (@t293)) % 17.30/17.51 (step @p406 :rule nary_cong :premises (@p405 @p400) :args (@t294)) % 17.30/17.51 (step @p407 :rule cong :premises (@p406) :args ((not @t294))) % 17.30/17.51 (step @p408 :rule refl :args (@t105)) % 17.30/17.51 (step @p409 :rule bool-impl-elim :args (@t75 @t106)) % 17.30/17.51 (step @p410 :rule cong :premises (@p409) :args (@t107)) % 17.30/17.51 (step @p411 :rule nary_cong :premises (@p410 @p408) :args (@t108)) % 17.30/17.51 (step @p412 :rule refl :args (@t109)) % 17.30/17.51 (step @p413 :rule bool-impl-elim :args (@t79 @t110)) % 17.30/17.51 (step @p414 :rule cong :premises (@p413) :args (@t111)) % 17.30/17.51 (step @p415 :rule nary_cong :premises (@p414 @p412) :args (@t112)) % 17.30/17.51 (step @p416 :rule nary_cong :premises (@p415 @p411) :args (@t113)) % 17.30/17.51 (step @p417 :rule cong :premises (@p416) :args (@t114)) % 17.30/17.51 (step @p418 :rule trans :premises (@p417 @p407)) % 17.30/17.51 (step @p419 :rule eq_resolve :premises (@p29 @p418)) % 17.30/17.51 (step @p420 :rule not_and :premises (@p419)) % 17.30/17.51 (step @p421 :rule chain_m_resolution :premises (@p420 @p396) :args ((not @t295) @t288 (@list @t289))) % 17.30/17.51 (step @p422 :rule cnf_or_neg :args (@t295 0)) % 17.30/17.51 (step @p423 :rule chain_m_resolution :premises (@p422 @p421) :args (@t296 @t297 (@list @t295))) % 17.30/17.51 (step @p424 :rule refl :args (@t302)) % 17.30/17.51 (step @p425 :rule bool-double-not-elim :args (@t127)) % 17.30/17.51 (step @p426 :rule nary_cong :premises (@p425 @p424) :args ((or (not @t296) @t302))) % 17.30/17.51 (assume-push @p607 @t296) % 17.30/17.51 (step @p428 :rule skolemize :premises (@p607)) % 17.30/17.51 (step-pop @p608 :rule scope :premises (@p428)) % 17.30/17.51 (step @p429 :rule process_scope :premises (@p608) :args (@t302)) % 17.30/17.51 (step @p431 :rule implies_elim :premises (@p429)) % 17.30/17.51 (step @p432 :rule eq_resolve :premises (@p431 @p426)) 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(step @p445 :rule reordering :premises (@p444) :args ((or @t311 @t310 (not @t312)))) % 17.30/17.51 (step @p446 :rule chain_m_resolution :premises (@p445 @p443 @p138) :args (@t310 @t306 (@list @t304 @t312))) % 17.30/17.51 (step @p447 :rule cnf_and_pos :args (@t310 1)) % 17.30/17.51 (step @p448 :rule reordering :premises (@p447) :args ((or @t308 (not @t310)))) % 17.30/17.51 (step @p449 :rule chain_m_resolution :premises (@p448 @p446) :args (@t308 @t288 (@list @t310))) % 17.30/17.51 (step @p450 :rule cnf_or_neg :args (@t301 1)) % 17.30/17.51 (step @p451 :rule chain_m_resolution :premises (@p450 @p433) :args (@t313 @t297 @t303)) % 17.30/17.51 (step @p452 :rule refl :args (@t315)) % 17.30/17.51 (step @p453 :rule refl :args (@t316)) % 17.30/17.51 (step @p454 :rule bool-double-not-elim :args (@t298)) % 17.30/17.51 (step @p455 :rule nary_cong :premises (@p454 @p453 @p452) :args ((or (not @t313) @t316 @t315))) % 17.30/17.51 (assume-push @p609 @t313) % 17.30/17.51 (assume-push @p610 @t308) % 17.30/17.51 (assume-push @p611 @t313) % 17.30/17.51 (assume-push @p612 @t308) % 17.30/17.51 (step @p460 :rule false_intro :premises (@p609)) % 17.30/17.51 (step @p461 :rule symm :premises (@p610)) % 17.30/17.51 (step @p462 :rule cong :premises (@p461 @p397) :args (@t314)) % 17.30/17.51 (step @p463 :rule trans :premises (@p462 @p460)) % 17.30/17.51 (step @p464 :rule false_elim :premises (@p463)) % 17.30/17.51 (step-pop @p613 :rule scope :premises (@p464)) % 17.30/17.51 (step-pop @p614 :rule scope :premises (@p613)) % 17.30/17.51 (step @p465 :rule process_scope :premises (@p614) :args (@t315)) % 17.30/17.51 (step @p468 :rule and_intro :premises (@p609 @p610)) % 17.30/17.51 (step @p469 :rule modus_ponens :premises (@p468 @p465)) % 17.30/17.51 (step-pop @p615 :rule scope :premises (@p469)) % 17.30/17.51 (step-pop @p616 :rule scope :premises (@p615)) % 17.30/17.51 (step @p470 :rule process_scope :premises (@p616) :args (@t315)) % 17.30/17.51 (step @p473 :rule implies_elim :premises (@p470)) % 17.30/17.51 (step @p474 :rule cnf_and_neg :args (@t317)) % 17.30/17.51 (step @p475 :rule resolution :premises (@p474 @p473) :args (true @t317)) % 17.30/17.51 (step @p476 :rule eq_resolve :premises (@p475 @p455)) % 17.30/17.51 (step @p477 :rule chain_m_resolution :premises (@p476 @p451 @p449) :args (@t315 @t318 (@list @t298 @t308))) % 17.30/17.51 (step @p478 :rule bool-double-not-elim :args (@t321)) % 17.30/17.51 (step @p479 :rule refl :args (@t324)) % 17.30/17.51 (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or @t324 (not @t323)))) % 17.30/17.51 (step @p481 :rule cnf_or_neg :args (@t324 0)) % 17.30/17.51 (step @p482 :rule eq_resolve :premises (@p481 @p480)) % 17.30/17.51 (step @p483 :rule reordering :premises (@p482) :args ((or @t321 @t324))) % 17.30/17.51 (step @p484 :rule cnf_or_neg :args (@t324 1)) % 17.30/17.51 (step @p485 :rule instantiate :premises (@p137) :args ((@list @t320))) % 17.30/17.51 (step @p486 :rule cnf_or_pos :args (@t327)) % 17.30/17.51 (step @p487 :rule reordering :premises (@p486) :args ((or @t323 @t326 (not @t327)))) % 17.30/17.51 (step @p488 :rule cnf_and_pos :args (@t326 0)) % 17.30/17.51 (step @p489 :rule reordering :premises (@p488) :args ((or @t325 (not @t326)))) % 17.30/17.51 (step @p490 :rule refl :args (@t328)) % 17.30/17.51 (step @p491 :rule bool-double-not-elim :args (@t322)) % 17.30/17.51 (step @p492 :rule refl :args (@t329)) % 17.30/17.51 (step @p493 :rule nary_cong :premises (@p492 @p491 @p490) :args ((or @t329 (not @t330) @t328))) % 17.30/17.51 (assume-push @p617 @t239) % 17.30/17.51 (assume-push @p618 @t330) % 17.30/17.51 (assume-push @p619 @t330) % 17.30/17.51 (assume-push @p620 @t239) % 17.30/17.51 (step @p498 :rule false_intro :premises (@p618)) % 17.30/17.51 (step @p499 :rule refl :args (@t320)) % 17.30/17.51 (step @p500 :rule cong :premises (@p499 @p287) :args (@t325)) % 17.30/17.51 (step @p501 :rule trans :premises (@p500 @p498)) % 17.30/17.51 (step @p502 :rule false_elim :premises (@p501)) % 17.30/17.51 (step-pop @p621 :rule scope :premises (@p502)) % 17.30/17.51 (step-pop @p622 :rule scope :premises (@p621)) % 17.30/17.51 (step @p503 :rule process_scope :premises (@p622) :args (@t328)) % 17.30/17.51 (step @p506 :rule and_intro :premises (@p618 @p288)) % 17.30/17.51 (step @p507 :rule modus_ponens :premises (@p506 @p503)) % 17.30/17.51 (step-pop @p623 :rule scope :premises (@p507)) % 17.30/17.51 (step-pop @p624 :rule scope :premises (@p623)) % 17.30/17.51 (step @p508 :rule process_scope :premises (@p624) :args (@t328)) % 17.30/17.51 (step @p511 :rule implies_elim :premises (@p508)) % 17.30/17.51 (step @p512 :rule cnf_and_neg :args (@t331)) % 17.30/17.51 (step @p513 :rule resolution :premises (@p512 @p511) :args (true @t331)) % 17.30/17.51 (step @p514 :rule eq_resolve :premises (@p513 @p493)) % 17.30/17.51 (step @p515 :rule chain_m_resolution :premises (@p514 @p288 @p489 @p487 @p485 @p484 @p483) :args (@t324 (@list false false false false true false) (@list @t239 @t325 @t326 @t327 @t322 @t321))) % 17.30/17.51 (step @p516 :rule refl :args (@t332)) % 17.30/17.51 (step @p517 :rule bool-double-not-elim :args (@t319)) % 17.30/17.51 (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or (not @t333) @t332))) % 17.30/17.51 (assume-push @p625 @t333) % 17.30/17.51 (step @p520 :rule skolemize :premises (@p625)) % 17.30/17.51 (step-pop @p626 :rule scope :premises (@p520)) % 17.30/17.51 (step @p521 :rule process_scope :premises (@p626) :args (@t332)) % 17.30/17.51 (step @p523 :rule implies_elim :premises (@p521)) % 17.30/17.51 (step @p524 :rule eq_resolve :premises (@p523 @p518)) % 17.30/17.51 (step @p525 :rule chain_m_resolution :premises (@p524 @p515) :args (@t319 @t288 (@list @t324))) % 17.30/17.51 (assume-push @p627 @t319) % 17.30/17.51 (step @p527 :rule instantiate :premises (@p627) :args (@t129)) % 17.30/17.51 (step-pop @p628 :rule scope :premises (@p527)) % 17.30/17.51 (step @p528 :rule process_scope :premises (@p628) :args (@t335)) % 17.30/17.51 (step @p530 :rule implies_elim :premises (@p528)) % 17.30/17.51 (step @p531 :rule chain_m_resolution :premises (@p530 @p525) :args (@t335 @t288 (@list @t319))) % 17.30/17.51 (step @p532 :rule cnf_or_pos :args (@t335)) % 17.30/17.51 (step @p533 :rule reordering :premises (@p532) :args ((or @t311 @t334 (not @t335)))) % 17.30/17.51 (step @p534 :rule chain_m_resolution :premises (@p533 @p443 @p531) :args (@t334 @t306 (@list @t304 @t335))) % 17.30/17.51 (assume-push @p629 @t239) % 17.30/17.51 (assume-push @p630 @t334) % 17.30/17.51 (assume-push @p631 @t334) % 17.30/17.51 (assume-push @p632 @t239) % 17.30/17.51 (step @p539 :rule true_intro :premises (@p630)) % 17.30/17.51 (step @p540 :rule refl :args (@t128)) % 17.30/17.51 (step @p541 :rule cong :premises (@p540 @p287) :args (@t309)) % 17.30/17.51 (step @p542 :rule trans :premises (@p541 @p539)) % 17.30/17.51 (step @p543 :rule true_elim :premises (@p542)) % 17.30/17.51 (step-pop @p633 :rule scope :premises (@p543)) % 17.30/17.51 (step-pop @p634 :rule scope :premises (@p633)) % 17.30/17.51 (step @p544 :rule process_scope :premises (@p634) :args (@t309)) % 17.30/17.51 (step @p547 :rule and_intro :premises (@p630 @p288)) % 17.30/17.51 (step @p548 :rule modus_ponens :premises (@p547 @p544)) % 17.30/17.51 (step-pop @p635 :rule scope :premises (@p548)) % 17.30/17.51 (step-pop @p636 :rule scope :premises (@p635)) % 17.30/17.51 (step @p549 :rule process_scope :premises (@p636) :args (@t309)) % 17.30/17.51 (step @p552 :rule implies_elim :premises (@p549)) % 17.30/17.51 (step @p553 :rule cnf_and_neg :args (@t336)) % 17.30/17.51 (step @p554 :rule resolution :premises (@p553 @p552) :args (true @t336)) % 17.30/17.51 (step @p555 :rule chain_m_resolution :premises (@p554 @p288 @p534) :args (@t309 @t306 (@list @t239 @t334))) % 17.30/17.51 (step @p556 :rule cnf_or_pos :args (@t340)) % 17.30/17.51 (step @p557 :rule reordering :premises (@p556) :args ((or @t261 @t338 @t339 @t314 (not @t340)))) % 17.30/17.51 (step @p558 :rule chain_m_resolution :premises (@p557 @p342 @p555 @p477 @p90) :args (@t338 (@list false false true false) (@list @t258 @t309 @t314 @t340))) % 17.30/17.51 (step @p559 :rule cnf_or_pos :args (@t346)) % 17.30/17.51 (step @p560 :rule reordering :premises (@p559) :args ((or @t337 @t345 (not @t346)))) % 17.30/17.51 (step @p561 :rule chain_m_resolution :premises (@p560 @p558 @p79) :args (@t345 @t318 (@list @t337 @t346))) % 17.30/17.51 (step @p562 :rule cnf_and_pos :args (@t345 0)) % 17.30/17.51 (step @p563 :rule reordering :premises (@p562) :args ((or @t344 (not @t345)))) % 17.30/17.51 (step @p564 :rule chain_m_resolution :premises (@p563 @p561) :args (@t344 @t288 (@list @t345))) % 17.30/17.51 (step @p565 :rule cnf_or_pos :args (@t344)) % 17.30/17.51 (step @p566 :rule reordering :premises (@p565) :args ((or @t343 @t342 (not @t344)))) % 17.30/17.51 (step @p567 :rule chain_m_resolution :premises (@p566 @p534 @p564) :args (@t342 @t306 (@list @t334 @t344))) % 17.30/17.51 (step @p568 :rule refl :args (@t352)) % 17.30/17.51 (step @p569 :rule bool-double-not-elim :args (@t341)) % 17.30/17.51 (step @p570 :rule nary_cong :premises (@p569 @p568) :args ((or (not @t342) @t352))) % 17.30/17.51 (assume-push @p637 @t342) % 17.30/17.51 (step @p572 :rule skolemize :premises (@p637)) % 17.30/17.51 (step-pop @p638 :rule scope :premises (@p572)) % 17.30/17.51 (step @p573 :rule process_scope :premises (@p638) :args (@t352)) % 17.30/17.51 (step @p575 :rule implies_elim :premises (@p573)) % 17.30/17.51 (step @p576 :rule eq_resolve :premises (@p575 @p570)) % 17.30/17.51 (step @p577 :rule chain_m_resolution :premises (@p576 @p567) :args (@t352 @t297 (@list @t341))) % 17.30/17.51 (step @p578 :rule bool-double-not-elim :args (@t349)) % 17.30/17.51 (step @p579 :rule refl :args (@t351)) % 17.30/17.51 (step @p580 :rule nary_cong :premises (@p579 @p578) :args ((or @t351 (not @t350)))) % 17.30/17.51 (step @p581 :rule cnf_or_neg :args (@t351 0)) % 17.30/17.51 (step @p582 :rule eq_resolve :premises (@p581 @p580)) % 17.30/17.51 (step @p583 :rule reordering :premises (@p582) :args ((or @t349 @t351))) % 17.30/17.51 (step @p584 :rule chain_m_resolution :premises (@p583 @p577) :args (@t349 @t297 @t353)) % 17.30/17.51 (step @p585 :rule instantiate :premises (@p266) :args ((@list @t347 @t128))) % 17.30/17.51 (step @p586 :rule cnf_or_neg :args (@t351 1)) % 17.30/17.51 (step @p587 :rule chain_m_resolution :premises (@p586 @p577) :args ((not @t348) @t297 @t353)) % 17.30/17.51 (step @p588 :rule cnf_or_pos :args (@t354)) % 17.30/17.51 (step @p589 :rule reordering :premises (@p588) :args ((or @t300 @t348 @t355))) % 17.30/17.51 (step @p590 :rule chain_m_resolution :premises (@p589 @p440 @p587) :args (@t355 (@list false true) (@list @t299 @t348))) % 17.30/17.51 (step @p591 :rule cnf_and_pos :args (@t356 2)) % 17.30/17.51 (step @p592 :rule reordering :premises (@p591) :args ((or @t354 @t357))) % 17.30/17.51 (step @p593 :rule chain_m_resolution :premises (@p592 @p590) :args (@t357 @t297 (@list @t354))) % 17.30/17.51 (step @p594 :rule cnf_or_pos :args (@t358)) % 17.30/17.51 (step @p595 :rule reordering :premises (@p594) :args ((or @t350 @t356 (not @t358)))) % 17.30/17.51 (step @p596 false :rule chain_m_resolution :premises (@p595 @p593 @p585 @p584) :args (false (@list true false false) (@list @t356 @t358 @t349))) % 17.30/17.51 ) % 17.30/17.51 % SZS output end Proof % 17.30/17.51 % cvc5 exiting %------------------------------------------------------------------------------