%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG106+2 : 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 : n004.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 08:45:42 AM UTC 2026 % Result : Theorem 13.21s 13.42s % Output : Proof 13.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG106+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:07:38 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 13.21/13.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 13.21/13.42 % SZS status Theorem % 13.21/13.42 % SZS output start Proof % 13.21/13.42 ( % 13.21/13.42 (declare-sort $$unsorted 0) % 13.21/13.42 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 13.21/13.42 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 13.21/13.42 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.sz00 $$unsorted) % 13.21/13.42 (declare-const tptp.sz10 $$unsorted) % 13.21/13.42 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 13.21/13.42 (declare-const tptp.xc $$unsorted) % 13.21/13.42 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 13.21/13.42 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 13.21/13.42 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 13.21/13.42 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 13.21/13.42 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 13.21/13.42 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 13.21/13.42 (define @t1 () (@var "W0" $$unsorted)) % 13.21/13.42 (define @t2 () (tptp.aElement0 @t1)) % 13.21/13.42 (define @t3 () (@list @t1)) % 13.21/13.42 (define @t4 () (tptp.aElement0 tptp.sz00)) % 13.21/13.42 (define @t5 () (tptp.smndt0 @t1)) % 13.21/13.42 (define @t6 () (@var "W1" $$unsorted)) % 13.21/13.42 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 13.21/13.42 (define @t8 () (tptp.aElement0 @t6)) % 13.21/13.42 (define @t9 () (and @t2 @t8)) % 13.21/13.42 (define @t10 () (@list @t1 @t6)) % 13.21/13.42 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 13.21/13.42 (define @t12 () (tptp.aElement0 @t11)) % 13.21/13.42 (define @t13 () (forall @t10 (=> @t9 @t12))) % 13.21/13.42 (define @t14 () (@var "W2" $$unsorted)) % 13.21/13.42 (define @t15 () (tptp.sdtpldt0 @t6 @t14)) % 13.21/13.42 (define @t16 () (tptp.aElement0 @t14)) % 13.21/13.42 (define @t17 () (and @t2 @t8 @t16)) % 13.21/13.42 (define @t18 () (@list @t1 @t6 @t14)) % 13.21/13.42 (define @t19 () (tptp.sdtasdt0 @t6 @t1)) % 13.21/13.42 (define @t20 () (= @t11 @t19)) % 13.21/13.42 (define @t21 () (forall @t10 (=> @t9 @t20))) % 13.21/13.42 (define @t22 () (= (tptp.sdtasdt0 @t11 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t14)))) % 13.21/13.42 (define @t23 () (forall @t18 (=> @t17 @t22))) % 13.21/13.42 (define @t24 () (tptp.sdtasdt0 @t14 @t1)) % 13.21/13.42 (define @t25 () (tptp.sdtasdt0 @t1 @t14)) % 13.21/13.42 (define @t26 () (tptp.smndt0 tptp.sz10)) % 13.21/13.42 (define @t27 () (= @t6 tptp.sz00)) % 13.21/13.42 (define @t28 () (= @t1 tptp.sz00)) % 13.21/13.42 (define @t29 () (tptp.aSet0 @t1)) % 13.21/13.42 (define @t30 () (tptp.aElementOf0 @t6 @t1)) % 13.21/13.42 (define @t31 () (@list @t6)) % 13.21/13.42 (define @t32 () (forall @t31 (=> @t30 @t8))) % 13.21/13.42 (define @t33 () (=> @t29 @t32)) % 13.21/13.42 (define @t34 () (forall @t3 @t33)) % 13.21/13.42 (define @t35 () (tptp.aElementOf0 @t14 @t1)) % 13.21/13.42 (define @t36 () (tptp.aElementOf0 @t14 @t6)) % 13.21/13.42 (define @t37 () (@list @t14)) % 13.21/13.42 (define @t38 () (tptp.aSet0 @t6)) % 13.21/13.42 (define @t39 () (and @t29 @t38)) % 13.21/13.42 (define @t40 () (@var "W3" $$unsorted)) % 13.21/13.42 (define @t41 () (@var "W5" $$unsorted)) % 13.21/13.42 (define @t42 () (@var "W4" $$unsorted)) % 13.21/13.42 (define @t43 () (tptp.aElementOf0 @t40 @t14)) % 13.21/13.42 (define @t44 () (@list @t40)) % 13.21/13.42 (define @t45 () (tptp.aSet0 @t14)) % 13.21/13.42 (define @t46 () (tptp.sdtpldt1 @t1 @t6)) % 13.21/13.42 (define @t47 () (tptp.sdtasasdt0 @t1 @t6)) % 13.21/13.42 (define @t48 () (tptp.sdtasdt0 @t14 @t6)) % 13.21/13.42 (define @t49 () (tptp.aIdeal0 @t1)) % 13.21/13.42 (define @t50 () (and @t49 (tptp.aIdeal0 @t6))) % 13.21/13.42 (define @t51 () (tptp.aElement0 @t42)) % 13.21/13.42 (define @t52 () (@list @t42)) % 13.21/13.42 (define @t53 () (tptp.aElement0 @t40)) % 13.21/13.42 (define @t54 () (@list @t14 @t40)) % 13.21/13.42 (define @t55 () (tptp.aNaturalNumber0 @t1)) % 13.21/13.42 (define @t56 () (tptp.aElement0 tptp.xc)) % 13.21/13.42 (define @t57 () (tptp.slsdtgt0 tptp.xc)) % 13.21/13.42 (define @t58 () (tptp.aIdeal0 @t57)) % 13.21/13.42 (define @t59 () (tptp.aElementOf0 @t19 @t57)) % 13.21/13.42 (define @t60 () (forall @t31 (=> @t8 @t59))) % 13.21/13.42 (define @t61 () (tptp.aElementOf0 @t7 @t57)) % 13.21/13.42 (define @t62 () (tptp.aElementOf0 @t6 @t57)) % 13.21/13.42 (define @t63 () (forall @t31 (=> @t62 @t61))) % 13.21/13.42 (define @t64 () (and @t63 @t60)) % 13.21/13.42 (define @t65 () (tptp.aElementOf0 @t1 @t57)) % 13.21/13.42 (define @t66 () (=> @t65 @t64)) % 13.21/13.42 (define @t67 () (forall @t3 @t66)) % 13.21/13.42 (define @t68 () (or @t67 @t58)) % 13.21/13.42 (define @t69 () (tptp.sdtasdt0 tptp.xc @t6)) % 13.21/13.42 (define @t70 () (and @t8 (= @t69 @t1))) % 13.21/13.42 (define @t71 () (exists @t31 @t70)) % 13.21/13.42 (define @t72 () (= @t65 @t71)) % 13.21/13.42 (define @t73 () (forall @t3 @t72)) % 13.21/13.42 (define @t74 () (tptp.aSet0 @t57)) % 13.21/13.42 (define @t75 () (and @t74 @t73)) % 13.21/13.42 (define @t76 () (=> @t75 @t68)) % 13.21/13.42 (define @t77 () (tptp.aElementOf0 @t24 @t57)) % 13.21/13.42 (define @t78 () (tptp.sdtasdt0 tptp.xc @t41)) % 13.21/13.42 (define @t79 () (tptp.aElement0 @t41)) % 13.21/13.42 (define @t80 () (and @t79 (= @t78 @t24))) % 13.21/13.42 (define @t81 () (@list @t41)) % 13.21/13.42 (define @t82 () (exists @t81 @t80)) % 13.21/13.42 (define @t83 () (and @t79 (= @t78 @t7))) % 13.21/13.42 (define @t84 () (exists @t81 @t83)) % 13.21/13.42 (define @t85 () (= @t24 (tptp.sdtasdt0 tptp.xc (tptp.sdtasdt0 @t40 @t14)))) % 13.21/13.42 (define @t86 () (= @t7 (tptp.sdtasdt0 tptp.xc (tptp.sdtpldt0 @t40 @t42)))) % 13.21/13.42 (define @t87 () (tptp.sdtasdt0 tptp.xc @t42)) % 13.21/13.42 (define @t88 () (and @t51 (= @t87 @t6) @t86 @t85 @t84 @t61 @t82 @t77)) % 13.21/13.42 (define @t89 () (exists @t52 @t88)) % 13.21/13.42 (define @t90 () (tptp.sdtasdt0 tptp.xc @t40)) % 13.21/13.42 (define @t91 () (= @t90 @t1)) % 13.21/13.42 (define @t92 () (and @t53 @t91 @t89)) % 13.21/13.42 (define @t93 () (exists @t44 @t92)) % 13.21/13.42 (define @t94 () (and @t53 (= @t90 @t6))) % 13.21/13.42 (define @t95 () (exists @t44 @t94)) % 13.21/13.42 (define @t96 () (or @t95 @t62)) % 13.21/13.42 (define @t97 () (and @t53 @t91)) % 13.21/13.42 (define @t98 () (exists @t44 @t97)) % 13.21/13.42 (define @t99 () (or @t98 @t65)) % 13.21/13.42 (define @t100 () (and @t99 @t96 @t16)) % 13.21/13.42 (define @t101 () (=> @t100 @t93)) % 13.21/13.42 (define @t102 () (forall @t18 @t101)) % 13.21/13.42 (define @t103 () (=> @t102 @t76)) % 13.21/13.42 (define @t104 () (not @t103)) % 13.21/13.42 (define @t105 () (@var "BOUND_VARIABLE_8342" $$unsorted)) % 13.21/13.42 (define @t106 () (or (not (tptp.aElement0 @t105)) (tptp.aElementOf0 (tptp.sdtasdt0 @t105 @t1) @t57))) % 13.21/13.42 (define @t107 () (@var "BOUND_VARIABLE_8335" $$unsorted)) % 13.21/13.42 (define @t108 () (or (not (tptp.aElementOf0 @t107 @t57)) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 @t107) @t57))) % 13.21/13.42 (define @t109 () (and @t108 @t106)) % 13.21/13.42 (define @t110 () (not @t65)) % 13.21/13.42 (define @t111 () (or @t110 @t109)) % 13.21/13.42 (define @t112 () (forall (@list @t1 @t107 @t105) @t111)) % 13.21/13.42 (define @t113 () (@list @t107 @t105)) % 13.21/13.42 (define @t114 () (forall @t113 @t111)) % 13.21/13.42 (define @t115 () (forall (@list @t105) @t106)) % 13.21/13.42 (define @t116 () (@list @t6)) % 13.21/13.42 (define @t117 () (forall @t113 @t106)) % 13.21/13.42 (define @t118 () (forall (@list @t107) @t108)) % 13.21/13.42 (define @t119 () (forall @t113 @t108)) % 13.21/13.42 (define @t120 () (and @t119 @t117)) % 13.21/13.42 (define @t121 () (forall @t113 @t109)) % 13.21/13.42 (define @t122 () (or @t110 @t121)) % 13.21/13.42 (define @t123 () (not @t8)) % 13.21/13.42 (define @t124 () (not @t62)) % 13.21/13.42 (define @t125 () (and (forall @t31 (or @t124 @t61)) (forall @t31 (or @t123 @t59)))) % 13.21/13.42 (define @t126 () (= @t1 @t69)) % 13.21/13.42 (define @t127 () (and @t8 @t126)) % 13.21/13.42 (define @t128 () (forall @t31 (not @t127))) % 13.21/13.42 (define @t129 () (not @t128)) % 13.21/13.42 (define @t130 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 13.21/13.42 (define @t131 () (tptp.sdtasdt0 tptp.xc (tptp.sdtpldt0 @t40 @t130))) % 13.21/13.42 (define @t132 () (not (= @t7 @t131))) % 13.21/13.42 (define @t133 () (tptp.sdtasdt0 tptp.xc @t130)) % 13.21/13.42 (define @t134 () (not (= @t6 @t133))) % 13.21/13.42 (define @t135 () (not (tptp.aElement0 @t130))) % 13.21/13.42 (define @t136 () (not @t85)) % 13.21/13.42 (define @t137 () (= @t1 @t90)) % 13.21/13.42 (define @t138 () (not @t137)) % 13.21/13.42 (define @t139 () (not @t53)) % 13.21/13.42 (define @t140 () (or @t139 @t138 @t136 @t135 @t134 @t132)) % 13.21/13.42 (define @t141 () (@list @t40 @t130)) % 13.21/13.42 (define @t142 () (forall @t141 @t140)) % 13.21/13.42 (define @t143 () (not @t142)) % 13.21/13.42 (define @t144 () (= @t24 @t78)) % 13.21/13.42 (define @t145 () (not @t79)) % 13.21/13.42 (define @t146 () (forall @t81 (or @t145 (not @t144)))) % 13.21/13.42 (define @t147 () (not @t146)) % 13.21/13.42 (define @t148 () (= @t7 @t78)) % 13.21/13.42 (define @t149 () (forall @t81 (or @t145 (not @t148)))) % 13.21/13.42 (define @t150 () (not @t149)) % 13.21/13.42 (define @t151 () (and @t150 @t61 @t147 @t77 @t143)) % 13.21/13.42 (define @t152 () (not @t16)) % 13.21/13.42 (define @t153 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 13.21/13.42 (define @t154 () (or (not (tptp.aElement0 @t153)) (not (= @t6 (tptp.sdtasdt0 tptp.xc @t153))))) % 13.21/13.42 (define @t155 () (and @t154 @t124)) % 13.21/13.42 (define @t156 () (@var "BOUND_VARIABLE_8292" $$unsorted)) % 13.21/13.42 (define @t157 () (or (not (tptp.aElement0 @t156)) (not (= @t1 (tptp.sdtasdt0 tptp.xc @t156))))) % 13.21/13.42 (define @t158 () (and @t157 @t110)) % 13.21/13.42 (define @t159 () (or @t158 @t155 @t152 @t151)) % 13.21/13.42 (define @t160 () (forall (@list @t1 @t6 @t14 @t156 @t153) @t159)) % 13.21/13.42 (define @t161 () (forall (@list @t156 @t153) @t159)) % 13.21/13.42 (define @t162 () (@list @t153)) % 13.21/13.42 (define @t163 () (forall @t162 @t124)) % 13.21/13.42 (define @t164 () (forall @t162 @t154)) % 13.21/13.42 (define @t165 () (@list @t40)) % 13.21/13.42 (define @t166 () (and @t164 @t163)) % 13.21/13.42 (define @t167 () (forall @t162 @t155)) % 13.21/13.42 (define @t168 () (@list @t156)) % 13.21/13.42 (define @t169 () (forall @t168 @t110)) % 13.21/13.42 (define @t170 () (forall @t168 @t157)) % 13.21/13.42 (define @t171 () (and @t170 @t169)) % 13.21/13.42 (define @t172 () (forall @t168 @t158)) % 13.21/13.42 (define @t173 () (or @t172 @t167 @t152 @t151)) % 13.21/13.42 (define @t174 () (= @t6 @t90)) % 13.21/13.42 (define @t175 () (forall @t44 (or @t139 (not @t174)))) % 13.21/13.42 (define @t176 () (and @t175 @t124)) % 13.21/13.42 (define @t177 () (forall @t44 (or @t139 @t138))) % 13.21/13.42 (define @t178 () (and @t177 @t110)) % 13.21/13.42 (define @t179 () (or @t178 @t176 @t152 @t151)) % 13.21/13.42 (define @t180 () (not @t77)) % 13.21/13.42 (define @t181 () (not @t180)) % 13.21/13.42 (define @t182 () (not @t61)) % 13.21/13.42 (define @t183 () (not @t182)) % 13.21/13.42 (define @t184 () (and @t150 @t183 @t147 @t181 @t143)) % 13.21/13.42 (define @t185 () (not @t175)) % 13.21/13.42 (define @t186 () (not @t177)) % 13.21/13.42 (define @t187 () (or @t185 @t62)) % 13.21/13.42 (define @t188 () (not @t187)) % 13.21/13.42 (define @t189 () (or @t186 @t65)) % 13.21/13.42 (define @t190 () (not @t189)) % 13.21/13.42 (define @t191 () (or @t190 @t188 @t152)) % 13.21/13.42 (define @t192 () (not (or @t149 @t182 @t146 @t180 @t142))) % 13.21/13.42 (define @t193 () (and @t189 @t187 @t16)) % 13.21/13.42 (define @t194 () (or @t135 @t134 @t132)) % 13.21/13.42 (define @t195 () (or @t139 @t138 @t136 @t194)) % 13.21/13.42 (define @t196 () (forall @t141 @t195)) % 13.21/13.42 (define @t197 () (@list @t130)) % 13.21/13.42 (define @t198 () (forall @t197 @t195)) % 13.21/13.42 (define @t199 () (forall @t197 @t194)) % 13.21/13.42 (define @t200 () (or @t139 @t138 @t136 @t199)) % 13.21/13.42 (define @t201 () (not @t86)) % 13.21/13.42 (define @t202 () (= @t6 @t87)) % 13.21/13.42 (define @t203 () (not @t202)) % 13.21/13.42 (define @t204 () (not @t51)) % 13.21/13.42 (define @t205 () (or @t204 @t203 @t201)) % 13.21/13.42 (define @t206 () (forall @t52 @t205)) % 13.21/13.42 (define @t207 () (or @t139 @t138 @t136 @t206)) % 13.21/13.42 (define @t208 () (forall @t44 @t207)) % 13.21/13.42 (define @t209 () (or @t149 @t182 @t146 @t180 @t208)) % 13.21/13.42 (define @t210 () (or @t149 @t182 @t146 @t180 @t207)) % 13.21/13.42 (define @t211 () (or @t139 @t138 @t136 @t149 @t182 @t146 @t180 @t206)) % 13.21/13.42 (define @t212 () (or @t136 @t149 @t182 @t146 @t180 @t206)) % 13.21/13.42 (define @t213 () (not @t212)) % 13.21/13.42 (define @t214 () (not @t213)) % 13.21/13.42 (define @t215 () (or @t139 @t138 @t214)) % 13.21/13.42 (define @t216 () (and @t53 @t137 @t213)) % 13.21/13.42 (define @t217 () (forall @t44 (not @t216))) % 13.21/13.42 (define @t218 () (not @t217)) % 13.21/13.42 (define @t219 () (or @t136 @t149 @t182 @t146 @t180 @t205)) % 13.21/13.42 (define @t220 () (or @t204 @t203 @t201 @t136 @t149 @t182 @t146 @t180)) % 13.21/13.42 (define @t221 () (not @t147)) % 13.21/13.42 (define @t222 () (not @t150)) % 13.21/13.42 (define @t223 () (or @t204 @t203 @t201 @t136 @t222 @t182 @t221 @t180)) % 13.21/13.42 (define @t224 () (and @t51 @t202 @t86 @t85 @t150 @t61 @t147 @t77)) % 13.21/13.42 (define @t225 () (forall @t52 (not @t224))) % 13.21/13.42 (define @t226 () (not @t225)) % 13.21/13.42 (define @t227 () (and @t79 @t144)) % 13.21/13.42 (define @t228 () (forall @t81 (not @t227))) % 13.21/13.42 (define @t229 () (not @t228)) % 13.21/13.42 (define @t230 () (and @t79 @t148)) % 13.21/13.42 (define @t231 () (forall @t81 (not @t230))) % 13.21/13.42 (define @t232 () (not @t231)) % 13.21/13.42 (define @t233 () (and @t53 @t174)) % 13.21/13.42 (define @t234 () (forall @t44 (not @t233))) % 13.21/13.42 (define @t235 () (not @t234)) % 13.21/13.42 (define @t236 () (and @t53 @t137)) % 13.21/13.42 (define @t237 () (forall @t44 (not @t236))) % 13.21/13.42 (define @t238 () (not @t237)) % 13.21/13.42 (define @t239 () (@quantifiers_skolemize @t112 0)) % 13.21/13.42 (define @t240 () (not (= @t239 @t69))) % 13.21/13.42 (define @t241 () (or @t123 @t240)) % 13.21/13.42 (define @t242 () (forall @t31 @t241)) % 13.21/13.42 (define @t243 () (not @t242)) % 13.21/13.42 (define @t244 () (tptp.aElementOf0 @t239 @t57)) % 13.21/13.42 (define @t245 () (= @t244 @t243)) % 13.21/13.42 (define @t246 () (forall @t3 (= @t65 (not (forall @t31 (or @t123 (not @t126))))))) % 13.21/13.42 (define @t247 () (forall @t31 (or @t123 (not (= @t69 @t239))))) % 13.21/13.42 (define @t248 () (not @t247)) % 13.21/13.42 (define @t249 () (= @t244 @t248)) % 13.21/13.42 (define @t250 () (@list false)) % 13.21/13.42 (define @t251 () (@list @t246)) % 13.21/13.42 (define @t252 () (@quantifiers_skolemize @t112 2)) % 13.21/13.42 (define @t253 () (tptp.sdtasdt0 @t252 @t239)) % 13.21/13.42 (define @t254 () (tptp.aElementOf0 @t253 @t57)) % 13.21/13.42 (define @t255 () (tptp.aElement0 @t252)) % 13.21/13.42 (define @t256 () (not @t255)) % 13.21/13.42 (define @t257 () (or @t256 @t254)) % 13.21/13.42 (define @t258 () (@quantifiers_skolemize @t112 1)) % 13.21/13.42 (define @t259 () (tptp.sdtpldt0 @t239 @t258)) % 13.21/13.42 (define @t260 () (tptp.aElementOf0 @t259 @t57)) % 13.21/13.42 (define @t261 () (tptp.aElementOf0 @t258 @t57)) % 13.21/13.42 (define @t262 () (not @t261)) % 13.21/13.42 (define @t263 () (or @t262 @t260)) % 13.21/13.42 (define @t264 () (and @t263 @t257)) % 13.21/13.42 (define @t265 () (not @t244)) % 13.21/13.42 (define @t266 () (or @t265 @t264)) % 13.21/13.42 (define @t267 () (@list true)) % 13.21/13.42 (define @t268 () (@list @t266)) % 13.21/13.42 (define @t269 () (@list false false)) % 13.21/13.42 (define @t270 () (@quantifiers_skolemize @t247 0)) % 13.21/13.42 (define @t271 () (tptp.sdtasdt0 tptp.xc @t270)) % 13.21/13.42 (define @t272 () (= @t239 @t271)) % 13.21/13.42 (define @t273 () (not @t272)) % 13.21/13.42 (define @t274 () (tptp.aElement0 @t270)) % 13.21/13.42 (define @t275 () (not @t274)) % 13.21/13.42 (define @t276 () (or @t275 @t273)) % 13.21/13.42 (define @t277 () (not @t276)) % 13.21/13.42 (define @t278 () (not (= @t271 @t239))) % 13.21/13.42 (define @t279 () (or @t275 @t278)) % 13.21/13.42 (define @t280 () (not @t279)) % 13.21/13.42 (define @t281 () (@list @t276)) % 13.21/13.42 (define @t282 () (not @t2)) % 13.21/13.42 (define @t283 () (or @t282 @t123)) % 13.21/13.42 (define @t284 () (not @t9)) % 13.21/13.42 (define @t285 () (@var "BOUND_VARIABLE_7867" $$unsorted)) % 13.21/13.42 (define @t286 () (tptp.aElement0 @t285)) % 13.21/13.42 (define @t287 () (not (tptp.aElementOf0 @t285 @t1))) % 13.21/13.42 (define @t288 () (not @t29)) % 13.21/13.42 (define @t289 () (or @t287 @t286)) % 13.21/13.42 (define @t290 () (or @t288 @t289)) % 13.21/13.42 (define @t291 () (forall (@list @t1 @t285) @t290)) % 13.21/13.42 (define @t292 () (@list @t285)) % 13.21/13.42 (define @t293 () (forall @t292 @t290)) % 13.21/13.42 (define @t294 () (forall @t292 @t289)) % 13.21/13.42 (define @t295 () (or @t288 @t294)) % 13.21/13.42 (define @t296 () (forall @t31 (or (not @t30) @t8))) % 13.21/13.42 (define @t297 () (tptp.aElement0 @t239)) % 13.21/13.42 (define @t298 () (not @t74)) % 13.21/13.42 (define @t299 () (or @t298 @t265 @t297)) % 13.21/13.42 (define @t300 () (@list false false false)) % 13.21/13.42 (define @t301 () (tptp.sdtasdt0 tptp.xc tptp.sz00)) % 13.21/13.42 (define @t302 () (not @t4)) % 13.21/13.42 (define @t303 () (and (or @t302 (not (= @t258 @t301))) @t262)) % 13.21/13.42 (define @t304 () (tptp.sdtasdt0 tptp.sz00 @t239)) % 13.21/13.42 (define @t305 () (not (= @t304 (tptp.sdtasdt0 tptp.xc (tptp.sdtasdt0 @t40 tptp.sz00))))) % 13.21/13.42 (define @t306 () (tptp.aElementOf0 @t304 @t57)) % 13.21/13.42 (define @t307 () (and (not (forall @t81 (or @t145 (not (= @t78 @t259))))) @t260 (not (forall @t81 (or @t145 (not (= @t78 @t304))))) @t306 (not (forall @t141 (or @t139 (not (= @t90 @t239)) @t305 @t135 (not (= @t133 @t258)) (not (= @t131 @t259))))))) % 13.21/13.42 (define @t308 () (not (= @t259 @t131))) % 13.21/13.42 (define @t309 () (not (= @t258 @t133))) % 13.21/13.42 (define @t310 () (not (= @t239 @t90))) % 13.21/13.42 (define @t311 () (or @t139 @t310 @t305 @t135 @t309 @t308)) % 13.21/13.42 (define @t312 () (forall @t141 @t311)) % 13.21/13.42 (define @t313 () (not @t312)) % 13.21/13.42 (define @t314 () (not (= @t304 @t78))) % 13.21/13.42 (define @t315 () (or @t145 @t314)) % 13.21/13.42 (define @t316 () (forall @t81 @t315)) % 13.21/13.42 (define @t317 () (not @t316)) % 13.21/13.42 (define @t318 () (not (= @t259 @t78))) % 13.21/13.42 (define @t319 () (or @t145 @t318)) % 13.21/13.42 (define @t320 () (forall @t81 @t319)) % 13.21/13.42 (define @t321 () (not @t320)) % 13.21/13.42 (define @t322 () (and @t321 @t260 @t317 @t306 @t313)) % 13.21/13.42 (define @t323 () (and (or @t302 (not (= @t239 @t301))) @t265)) % 13.21/13.42 (define @t324 () (or @t323 @t303 @t302 @t322)) % 13.21/13.42 (define @t325 () (or @t323 @t303 @t302 @t307)) % 13.21/13.42 (define @t326 () (not @t323)) % 13.21/13.42 (define @t327 () (@list true false)) % 13.21/13.42 (define @t328 () (@list @t257)) % 13.21/13.42 (define @t329 () (tptp.sdtasdt0 @t239 @t252)) % 13.21/13.42 (define @t330 () (= @t253 @t329)) % 13.21/13.42 (define @t331 () (not @t297)) % 13.21/13.42 (define @t332 () (or @t256 @t331 @t330)) % 13.21/13.42 (define @t333 () (@list @t255 @t297 @t332)) % 13.21/13.42 (define @t334 () (or @t282 @t123 @t152)) % 13.21/13.42 (define @t335 () (tptp.sdtasdt0 @t270 @t252)) % 13.21/13.42 (define @t336 () (tptp.sdtasdt0 tptp.xc @t335)) % 13.21/13.42 (define @t337 () (= (tptp.sdtasdt0 @t271 @t252) @t336)) % 13.21/13.42 (define @t338 () (not @t56)) % 13.21/13.42 (define @t339 () (or @t338 @t275 @t256 @t337)) % 13.21/13.42 (define @t340 () (@list false false false false)) % 13.21/13.42 (define @t341 () (@list @t56 @t255 @t274 @t339)) % 13.21/13.42 (define @t342 () (not (= @t253 @t69))) % 13.21/13.42 (define @t343 () (or @t123 @t342)) % 13.21/13.42 (define @t344 () (forall @t31 @t343)) % 13.21/13.42 (define @t345 () (not @t344)) % 13.21/13.42 (define @t346 () (= @t254 @t345)) % 13.21/13.42 (define @t347 () (forall @t31 (or @t123 (not (= @t69 @t253))))) % 13.21/13.42 (define @t348 () (not @t347)) % 13.21/13.42 (define @t349 () (= @t254 @t348)) % 13.21/13.42 (define @t350 () (not @t349)) % 13.21/13.42 (define @t351 () (not (= @t336 @t253))) % 13.21/13.42 (define @t352 () (tptp.aElement0 @t335)) % 13.21/13.42 (define @t353 () (not @t352)) % 13.21/13.42 (define @t354 () (or @t353 @t351)) % 13.21/13.42 (define @t355 () (= @t253 @t336)) % 13.21/13.42 (define @t356 () (not @t355)) % 13.21/13.42 (define @t357 () (or @t353 @t356)) % 13.21/13.42 (define @t358 () (or @t275 @t256 @t352)) % 13.21/13.42 (define @t359 () (not @t337)) % 13.21/13.42 (define @t360 () (not @t330)) % 13.21/13.42 (define @t361 () (and @t356 @t355)) % 13.21/13.42 (assume @p1 (forall @t3 (=> @t2 true))) % 13.21/13.42 (assume @p2 @t4) % 13.21/13.42 (assume @p3 (tptp.aElement0 tptp.sz10)) % 13.21/13.42 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t5)))) % 13.21/13.42 (assume @p5 (forall @t10 (=> @t9 (tptp.aElement0 @t7)))) % 13.21/13.42 (assume @p6 @t13) % 13.21/13.42 (assume @p7 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 13.21/13.42 (assume @p8 (forall @t18 (=> @t17 (= (tptp.sdtpldt0 @t7 @t14) (tptp.sdtpldt0 @t1 @t15))))) % 13.21/13.42 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 13.21/13.42 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 13.21/13.42 (assume @p11 @t21) % 13.21/13.42 (assume @p12 @t23) % 13.21/13.42 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 13.21/13.42 (assume @p14 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t11 @t25)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t19 @t24)))))) % 13.21/13.42 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t26 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t26)))))) % 13.21/13.42 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 13.21/13.42 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t28 @t27))))) % 13.21/13.42 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 13.21/13.42 (assume @p19 (forall @t3 (=> @t29 true))) % 13.21/13.42 (assume @p20 @t34) % 13.21/13.42 (assume @p21 (forall @t10 (=> @t39 (=> (and (forall @t37 (=> @t35 @t36)) (forall @t37 (=> @t36 @t35))) (= @t1 @t6))))) % 13.21/13.42 (assume @p22 (forall @t10 (=> @t39 (forall @t37 (= (= @t14 @t46) (and @t45 (forall @t44 (= @t43 (exists (@list @t42 @t41) (and (tptp.aElementOf0 @t42 @t1) (tptp.aElementOf0 @t41 @t6) (= (tptp.sdtpldt0 @t42 @t41) @t40))))))))))) % 13.21/13.42 (assume @p23 (forall @t10 (=> @t39 (forall @t37 (= (= @t14 @t47) (and @t45 (forall @t44 (= @t43 (and (tptp.aElementOf0 @t40 @t1) (tptp.aElementOf0 @t40 @t6)))))))))) % 13.21/13.42 (assume @p24 (forall @t3 (= @t49 (and @t29 (forall @t31 (=> @t30 (and (forall @t37 (=> @t35 (tptp.aElementOf0 @t15 @t1))) (forall @t37 (=> @t16 (tptp.aElementOf0 @t48 @t1)))))))))) % 13.21/13.42 (assume @p25 (forall @t10 (=> @t50 (tptp.aIdeal0 @t46)))) % 13.21/13.42 (assume @p26 (forall @t10 (=> @t50 (tptp.aIdeal0 @t47)))) % 13.21/13.42 (assume @p27 (forall @t18 (=> (and @t2 @t8 (tptp.aIdeal0 @t14)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t14) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t6)) @t14))))) % 13.21/13.42 (assume @p28 (forall @t10 (=> @t50 (=> (forall @t37 (=> @t16 (tptp.aElementOf0 @t14 @t46))) (forall @t54 (=> (and @t16 @t53) (exists @t52 (and @t51 (tptp.sdteqdtlpzmzozddtrp0 @t42 @t14 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t42 @t40 @t6))))))))) % 13.21/13.42 (assume @p29 (forall @t3 (=> @t55 true))) % 13.21/13.42 (assume @p30 (forall @t3 (=> (and @t2 (not @t28)) (tptp.aNaturalNumber0 (tptp.sbrdtbr0 @t1))))) % 13.21/13.42 (assume @p31 (forall @t10 (=> (and @t55 (tptp.aNaturalNumber0 @t6)) (=> (tptp.iLess0 @t1 @t6) true)))) % 13.21/13.42 (assume @p32 (forall @t10 (=> (and @t2 @t8 (not @t27)) (exists @t54 (and @t16 @t53 (= @t1 (tptp.sdtpldt0 @t48 @t40)) (=> (not (= @t40 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t40) (tptp.sbrdtbr0 @t6)))))))) % 13.21/13.42 (assume @p33 (forall @t10 (=> @t9 (= (tptp.doDivides0 @t1 @t6) (exists @t37 (and @t16 (= @t25 @t6))))))) % 13.21/13.42 (assume @p34 (forall @t3 (=> @t2 (forall @t31 (= (tptp.aDivisorOf0 @t6 @t1) (and @t8 (tptp.doDivides0 @t6 @t1))))))) % 13.21/13.42 (assume @p35 (forall @t10 (=> @t9 (forall @t37 (= (tptp.aGcdOfAnd0 @t14 @t1 @t6) (and (tptp.aDivisorOf0 @t14 @t1) (tptp.aDivisorOf0 @t14 @t6) (forall @t44 (=> (and (tptp.aDivisorOf0 @t40 @t1) (tptp.aDivisorOf0 @t40 @t6)) (tptp.doDivides0 @t40 @t14))))))))) % 13.21/13.42 (assume @p36 (forall @t10 (=> @t9 (= (tptp.misRelativelyPrime0 @t1 @t6) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t6))))) % 13.21/13.42 (assume @p37 (forall @t3 (=> @t2 (forall @t31 (= (= @t6 (tptp.slsdtgt0 @t1)) (and @t38 (forall @t37 (= @t36 (exists @t44 (and @t53 (= (tptp.sdtasdt0 @t1 @t40) @t14))))))))))) % 13.21/13.42 (assume @p38 @t56) % 13.21/13.42 (assume @p39 @t104) % 13.21/13.42 (assume @p40 true) % 13.21/13.42 (step @p41 :rule refl :args (@t58)) % 13.21/13.42 (step @p42 :rule quant-merge-prenex :args ((= (forall @t3 @t114) @t112))) % 13.21/13.42 (step @p43 :rule alpha_equiv :args (@t115 (@list @t105) @t116)) % 13.21/13.42 (step @p44 :rule quant-unused-vars :args ((= @t117 @t115))) % 13.21/13.42 (step @p45 :rule trans :premises (@p44 @p43)) % 13.21/13.42 (step @p46 :rule alpha_equiv :args (@t118 (@list @t107) @t116)) % 13.21/13.42 (step @p47 :rule quant-unused-vars :args ((= @t119 @t118))) % 13.21/13.42 (step @p48 :rule trans :premises (@p47 @p46)) % 13.21/13.42 (step @p49 :rule nary_cong :premises (@p48 @p45) :args (@t120)) % 13.21/13.42 (step @p50 :rule quant-miniscope-and :args ((= @t121 @t120))) % 13.21/13.42 (step @p51 :rule trans :premises (@p50 @p49)) % 13.21/13.42 (step @p52 :rule refl :args (@t110)) % 13.21/13.42 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t122)) % 13.21/13.42 (step @p54 :rule quant-miniscope-or :args ((= @t114 @t122))) % 13.21/13.42 (step @p55 :rule trans :premises (@p54 @p53)) % 13.21/13.42 (step @p56 :rule symm :premises (@p55)) % 13.21/13.42 (step @p57 :rule cong :premises (@p56) :args ((forall @t3 (or @t110 @t125)))) % 13.21/13.42 (step @p58 :rule trans :premises (@p57 @p42)) % 13.21/13.42 (step @p59 :rule bool-impl-elim :args (@t65 @t125)) % 13.21/13.42 (step @p60 :rule cong :premises (@p59) :args ((forall @t3 (=> @t65 @t125)))) % 13.21/13.42 (step @p61 :rule trans :premises (@p60 @p58)) % 13.21/13.42 (step @p62 :rule bool-impl-elim :args (@t8 @t59)) % 13.21/13.42 (step @p63 :rule cong :premises (@p62) :args (@t60)) % 13.21/13.42 (step @p64 :rule bool-impl-elim :args (@t62 @t61)) % 13.21/13.42 (step @p65 :rule cong :premises (@p64) :args (@t63)) % 13.21/13.42 (step @p66 :rule nary_cong :premises (@p65 @p63) :args (@t64)) % 13.21/13.42 (step @p67 :rule refl :args (@t65)) % 13.21/13.42 (step @p68 :rule cong :premises (@p67 @p66) :args (@t66)) % 13.21/13.42 (step @p69 :rule cong :premises (@p68) :args (@t67)) % 13.21/13.42 (step @p70 :rule trans :premises (@p69 @p61)) % 13.21/13.42 (step @p71 :rule nary_cong :premises (@p70 @p41) :args (@t68)) % 13.21/13.42 (step @p72 :rule bool-and-de-morgan :args (@t8 @t126 true)) % 13.21/13.42 (step @p73 :rule cong :premises (@p72) :args (@t128)) % 13.21/13.42 (step @p74 :rule cong :premises (@p73) :args (@t129)) % 13.21/13.42 (step @p75 :rule exists-elim :args ((= (exists @t31 @t127) @t129))) % 13.21/13.42 (step @p76 :rule trans :premises (@p75 @p74)) % 13.21/13.42 (step @p77 :rule eq-symm :args (@t69 @t1)) % 13.21/13.42 (step @p78 :rule refl :args (@t8)) % 13.21/13.42 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t70)) % 13.21/13.42 (step @p80 :rule cong :premises (@p79) :args (@t71)) % 13.21/13.42 (step @p81 :rule trans :premises (@p80 @p76)) % 13.21/13.42 (step @p82 :rule cong :premises (@p67 @p81) :args (@t72)) % 13.21/13.42 (step @p83 :rule cong :premises (@p82) :args (@t73)) % 13.21/13.42 (step @p84 :rule refl :args (@t74)) % 13.21/13.42 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t75)) % 13.21/13.42 (step @p86 :rule cong :premises (@p85 @p71) :args (@t76)) % 13.21/13.42 (step @p87 :rule quant-merge-prenex :args ((= (forall @t18 @t161) @t160))) % 13.21/13.42 (step @p88 :rule refl :args (@t151)) % 13.21/13.42 (step @p89 :rule refl :args (@t152)) % 13.21/13.42 (step @p90 :rule quant-unused-vars :args ((= @t163 @t124))) % 13.21/13.42 (step @p91 :rule alpha_equiv :args (@t164 (@list @t153) @t165)) % 13.21/13.42 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t166)) % 13.21/13.42 (step @p93 :rule quant-miniscope-and :args ((= @t167 @t166))) % 13.21/13.42 (step @p94 :rule trans :premises (@p93 @p92)) % 13.21/13.42 (step @p95 :rule quant-unused-vars :args ((= @t169 @t110))) % 13.21/13.42 (step @p96 :rule alpha_equiv :args (@t170 (@list @t156) @t165)) % 13.21/13.42 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t171)) % 13.21/13.42 (step @p98 :rule quant-miniscope-and :args ((= @t172 @t171))) % 13.21/13.42 (step @p99 :rule trans :premises (@p98 @p97)) % 13.21/13.42 (step @p100 :rule nary_cong :premises (@p99 @p94 @p89 @p88) :args (@t173)) % 13.21/13.42 (step @p101 :rule quant-miniscope-or :args ((= @t161 @t173))) % 13.21/13.42 (step @p102 :rule trans :premises (@p101 @p100)) % 13.21/13.42 (step @p103 :rule symm :premises (@p102)) % 13.21/13.42 (step @p104 :rule cong :premises (@p103) :args ((forall @t18 @t179))) % 13.21/13.42 (step @p105 :rule trans :premises (@p104 @p87)) % 13.21/13.42 (step @p106 :rule aci_norm :args ((= (or (or @t178 @t176 @t152) @t151) @t179))) % 13.21/13.42 (step @p107 :rule refl :args (@t143)) % 13.21/13.42 (step @p108 :rule bool-double-not-elim :args (@t77)) % 13.21/13.42 (step @p109 :rule refl :args (@t147)) % 13.21/13.42 (step @p110 :rule bool-double-not-elim :args (@t61)) % 13.21/13.42 (step @p111 :rule refl :args (@t150)) % 13.21/13.42 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108 @p107) :args (@t184)) % 13.21/13.42 (step @p113 :rule aci_norm :args ((= (and @t150 (and @t183 (and @t147 (and @t181 @t143)))) @t184))) % 13.21/13.42 (step @p114 :rule trans :premises (@p113 @p112)) % 13.21/13.42 (step @p115 :rule bool-or-de-morgan :args (@t180 @t142 false)) % 13.21/13.42 (step @p116 :rule nary_cong :premises (@p109 @p115) :args ((and @t147 (not (or @t180 @t142))))) % 13.21/13.42 (step @p117 :rule bool-or-de-morgan :args (@t146 @t180 (or @t142))) % 13.21/13.42 (step @p118 :rule trans :premises (@p117 @p116)) % 13.21/13.42 (step @p119 :rule refl :args (@t183)) % 13.21/13.42 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((and @t183 (not (or @t146 @t180 @t142))))) % 13.21/13.42 (step @p121 :rule bool-or-de-morgan :args (@t182 @t146 (or @t180 @t142))) % 13.21/13.42 (step @p122 :rule trans :premises (@p121 @p120)) % 13.21/13.42 (step @p123 :rule nary_cong :premises (@p111 @p122) :args ((and @t150 (not (or @t182 @t146 @t180 @t142))))) % 13.21/13.42 (step @p124 :rule bool-or-de-morgan :args (@t149 @t182 (or @t146 @t180 @t142))) % 13.21/13.42 (step @p125 :rule trans :premises (@p124 @p123)) % 13.21/13.42 (step @p126 :rule trans :premises (@p125 @p114)) % 13.21/13.42 (step @p127 :rule refl :args (@t124)) % 13.21/13.42 (step @p128 :rule bool-double-not-elim :args (@t175)) % 13.21/13.42 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((and (not @t185) @t124))) % 13.21/13.42 (step @p130 :rule bool-or-de-morgan :args (@t185 @t62 false)) % 13.21/13.42 (step @p131 :rule trans :premises (@p130 @p129)) % 13.21/13.42 (step @p132 :rule bool-double-not-elim :args (@t177)) % 13.21/13.42 (step @p133 :rule nary_cong :premises (@p132 @p52) :args ((and (not @t186) @t110))) % 13.21/13.42 (step @p134 :rule bool-or-de-morgan :args (@t186 @t65 false)) % 13.21/13.42 (step @p135 :rule trans :premises (@p134 @p133)) % 13.21/13.42 (step @p136 :rule nary_cong :premises (@p135 @p131 @p89) :args (@t191)) % 13.21/13.42 (step @p137 :rule aci_norm :args ((= (or @t190 (or @t188 @t152)) @t191))) % 13.21/13.42 (step @p138 :rule bool-and-de-morgan :args (@t187 @t16 true)) % 13.21/13.42 (step @p139 :rule refl :args (@t190)) % 13.21/13.42 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t190 (not (and @t187 @t16))))) % 13.21/13.42 (step @p141 :rule bool-and-de-morgan :args (@t189 @t187 (and @t16))) % 13.21/13.42 (step @p142 :rule trans :premises (@p141 @p140)) % 13.21/13.42 (step @p143 :rule trans :premises (@p142 @p137)) % 13.21/13.42 (step @p144 :rule trans :premises (@p143 @p136)) % 13.21/13.42 (step @p145 :rule nary_cong :premises (@p144 @p126) :args ((or (not @t193) @t192))) % 13.21/13.42 (step @p146 :rule trans :premises (@p145 @p106)) % 13.21/13.42 (step @p147 :rule bool-impl-elim :args (@t193 @t192)) % 13.21/13.42 (step @p148 :rule trans :premises (@p147 @p146)) % 13.21/13.42 (step @p149 :rule cong :premises (@p148) :args ((forall @t18 (=> @t193 @t192)))) % 13.21/13.42 (step @p150 :rule trans :premises (@p149 @p105)) % 13.21/13.42 (step @p151 :rule aci_norm :args ((= @t195 @t140))) % 13.21/13.42 (step @p152 :rule cong :premises (@p151) :args (@t196)) % 13.21/13.42 (step @p153 :rule quant-merge-prenex :args ((= (forall @t44 @t198) @t196))) % 13.21/13.42 (step @p154 :rule alpha_equiv :args (@t199 (@list @t130) (@list @t42))) % 13.21/13.42 (step @p155 :rule refl :args (@t136)) % 13.21/13.42 (step @p156 :rule refl :args (@t138)) % 13.21/13.42 (step @p157 :rule refl :args (@t139)) % 13.21/13.42 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154) :args (@t200)) % 13.21/13.42 (step @p159 :rule quant-miniscope-or :args ((= @t198 @t200))) % 13.21/13.42 (step @p160 :rule trans :premises (@p159 @p158)) % 13.21/13.42 (step @p161 :rule symm :premises (@p160)) % 13.21/13.42 (step @p162 :rule cong :premises (@p161) :args (@t208)) % 13.21/13.42 (step @p163 :rule trans :premises (@p162 @p153)) % 13.21/13.42 (step @p164 :rule trans :premises (@p163 @p152)) % 13.21/13.42 (step @p165 :rule refl :args (@t180)) % 13.21/13.42 (step @p166 :rule refl :args (@t146)) % 13.21/13.42 (step @p167 :rule refl :args (@t182)) % 13.21/13.42 (step @p168 :rule refl :args (@t149)) % 13.21/13.42 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166 @p165 @p164) :args (@t209)) % 13.21/13.42 (step @p170 :rule quant-miniscope-or :args ((= (forall @t44 @t210) @t209))) % 13.21/13.42 (step @p171 :rule aci_norm :args ((= @t211 @t210))) % 13.21/13.42 (step @p172 :rule cong :premises (@p171) :args ((forall @t44 @t211))) % 13.21/13.42 (step @p173 :rule trans :premises (@p172 @p170)) % 13.21/13.42 (step @p174 :rule trans :premises (@p173 @p169)) % 13.21/13.42 (step @p175 :rule aci_norm :args ((= (or @t139 @t138 @t212) @t211))) % 13.21/13.42 (step @p176 :rule bool-double-not-elim :args (@t212)) % 13.21/13.42 (step @p177 :rule nary_cong :premises (@p157 @p156 @p176) :args (@t215)) % 13.21/13.42 (step @p178 :rule aci_norm :args ((= (or @t139 (or @t138 @t214)) @t215))) % 13.21/13.42 (step @p179 :rule trans :premises (@p178 @p177)) % 13.21/13.42 (step @p180 :rule bool-and-de-morgan :args (@t137 @t213 true)) % 13.21/13.42 (step @p181 :rule nary_cong :premises (@p157 @p180) :args ((or @t139 (not (and @t137 @t213))))) % 13.21/13.42 (step @p182 :rule bool-and-de-morgan :args (@t53 @t137 (and @t213))) % 13.21/13.42 (step @p183 :rule trans :premises (@p182 @p181)) % 13.21/13.42 (step @p184 :rule trans :premises (@p183 @p179)) % 13.21/13.42 (step @p185 :rule trans :premises (@p184 @p175)) % 13.21/13.42 (step @p186 :rule cong :premises (@p185) :args (@t217)) % 13.21/13.42 (step @p187 :rule trans :premises (@p186 @p174)) % 13.21/13.42 (step @p188 :rule cong :premises (@p187) :args (@t218)) % 13.21/13.42 (step @p189 :rule exists-elim :args ((= (exists @t44 @t216) @t218))) % 13.21/13.42 (step @p190 :rule trans :premises (@p189 @p188)) % 13.21/13.42 (step @p191 :rule quant-miniscope-or :args ((= (forall @t52 @t219) @t212))) % 13.21/13.42 (step @p192 :rule aci_norm :args ((= @t220 @t219))) % 13.21/13.42 (step @p193 :rule cong :premises (@p192) :args ((forall @t52 @t220))) % 13.21/13.42 (step @p194 :rule trans :premises (@p193 @p191)) % 13.21/13.42 (step @p195 :rule refl :args (@t180)) % 13.21/13.42 (step @p196 :rule bool-double-not-elim :args (@t146)) % 13.21/13.42 (step @p197 :rule refl :args (@t182)) % 13.21/13.42 (step @p198 :rule bool-double-not-elim :args (@t149)) % 13.21/13.42 (step @p199 :rule refl :args (@t201)) % 13.21/13.42 (step @p200 :rule refl :args (@t203)) % 13.21/13.42 (step @p201 :rule refl :args (@t204)) % 13.21/13.42 (step @p202 :rule nary_cong :premises (@p201 @p200 @p199 @p155 @p198 @p197 @p196 @p195) :args (@t223)) % 13.21/13.42 (step @p203 :rule aci_norm :args ((= (or @t204 (or @t203 (or @t201 (or @t136 (or @t222 (or @t182 (or @t221 @t180))))))) @t223))) % 13.21/13.42 (step @p204 :rule trans :premises (@p203 @p202)) % 13.21/13.42 (step @p205 :rule bool-and-de-morgan :args (@t147 @t77 true)) % 13.21/13.42 (step @p206 :rule nary_cong :premises (@p197 @p205) :args ((or @t182 (not (and @t147 @t77))))) % 13.21/13.42 (step @p207 :rule bool-and-de-morgan :args (@t61 @t147 (and @t77))) % 13.21/13.42 (step @p208 :rule trans :premises (@p207 @p206)) % 13.21/13.42 (step @p209 :rule refl :args (@t222)) % 13.21/13.42 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t222 (not (and @t61 @t147 @t77))))) % 13.21/13.42 (step @p211 :rule bool-and-de-morgan :args (@t150 @t61 (and @t147 @t77))) % 13.21/13.42 (step @p212 :rule trans :premises (@p211 @p210)) % 13.21/13.42 (step @p213 :rule nary_cong :premises (@p155 @p212) :args ((or @t136 (not (and @t150 @t61 @t147 @t77))))) % 13.21/13.42 (step @p214 :rule bool-and-de-morgan :args (@t85 @t150 (and @t61 @t147 @t77))) % 13.21/13.42 (step @p215 :rule trans :premises (@p214 @p213)) % 13.21/13.42 (step @p216 :rule nary_cong :premises (@p199 @p215) :args ((or @t201 (not (and @t85 @t150 @t61 @t147 @t77))))) % 13.21/13.42 (step @p217 :rule bool-and-de-morgan :args (@t86 @t85 (and @t150 @t61 @t147 @t77))) % 13.21/13.42 (step @p218 :rule trans :premises (@p217 @p216)) % 13.21/13.42 (step @p219 :rule nary_cong :premises (@p200 @p218) :args ((or @t203 (not (and @t86 @t85 @t150 @t61 @t147 @t77))))) % 13.21/13.42 (step @p220 :rule bool-and-de-morgan :args (@t202 @t86 (and @t85 @t150 @t61 @t147 @t77))) % 13.21/13.42 (step @p221 :rule trans :premises (@p220 @p219)) % 13.21/13.42 (step @p222 :rule nary_cong :premises (@p201 @p221) :args ((or @t204 (not (and @t202 @t86 @t85 @t150 @t61 @t147 @t77))))) % 13.21/13.42 (step @p223 :rule bool-and-de-morgan :args (@t51 @t202 (and @t86 @t85 @t150 @t61 @t147 @t77))) % 13.21/13.42 (step @p224 :rule trans :premises (@p223 @p222)) % 13.21/13.42 (step @p225 :rule trans :premises (@p224 @p204)) % 13.21/13.42 (step @p226 :rule cong :premises (@p225) :args (@t225)) % 13.21/13.42 (step @p227 :rule trans :premises (@p226 @p194)) % 13.21/13.42 (step @p228 :rule cong :premises (@p227) :args (@t226)) % 13.21/13.42 (step @p229 :rule exists-elim :args ((= (exists @t52 @t224) @t226))) % 13.21/13.42 (step @p230 :rule trans :premises (@p229 @p228)) % 13.21/13.42 (step @p231 :rule refl :args (@t77)) % 13.21/13.42 (step @p232 :rule bool-and-de-morgan :args (@t79 @t144 true)) % 13.21/13.42 (step @p233 :rule cong :premises (@p232) :args (@t228)) % 13.21/13.42 (step @p234 :rule cong :premises (@p233) :args (@t229)) % 13.21/13.42 (step @p235 :rule exists-elim :args ((= (exists @t81 @t227) @t229))) % 13.21/13.42 (step @p236 :rule trans :premises (@p235 @p234)) % 13.21/13.42 (step @p237 :rule eq-symm :args (@t78 @t24)) % 13.21/13.42 (step @p238 :rule refl :args (@t79)) % 13.21/13.42 (step @p239 :rule nary_cong :premises (@p238 @p237) :args (@t80)) % 13.21/13.42 (step @p240 :rule cong :premises (@p239) :args (@t82)) % 13.21/13.42 (step @p241 :rule trans :premises (@p240 @p236)) % 13.21/13.42 (step @p242 :rule refl :args (@t61)) % 13.21/13.42 (step @p243 :rule bool-and-de-morgan :args (@t79 @t148 true)) % 13.21/13.42 (step @p244 :rule cong :premises (@p243) :args (@t231)) % 13.21/13.42 (step @p245 :rule cong :premises (@p244) :args (@t232)) % 13.21/13.42 (step @p246 :rule exists-elim :args ((= (exists @t81 @t230) @t232))) % 13.21/13.42 (step @p247 :rule trans :premises (@p246 @p245)) % 13.21/13.42 (step @p248 :rule eq-symm :args (@t78 @t7)) % 13.21/13.42 (step @p249 :rule nary_cong :premises (@p238 @p248) :args (@t83)) % 13.21/13.42 (step @p250 :rule cong :premises (@p249) :args (@t84)) % 13.21/13.42 (step @p251 :rule trans :premises (@p250 @p247)) % 13.21/13.42 (step @p252 :rule refl :args (@t85)) % 13.21/13.42 (step @p253 :rule refl :args (@t86)) % 13.21/13.42 (step @p254 :rule eq-symm :args (@t87 @t6)) % 13.21/13.42 (step @p255 :rule refl :args (@t51)) % 13.21/13.42 (step @p256 :rule nary_cong :premises (@p255 @p254 @p253 @p252 @p251 @p242 @p241 @p231) :args (@t88)) % 13.21/13.42 (step @p257 :rule cong :premises (@p256) :args (@t89)) % 13.21/13.42 (step @p258 :rule trans :premises (@p257 @p230)) % 13.21/13.42 (step @p259 :rule eq-symm :args (@t90 @t1)) % 13.21/13.42 (step @p260 :rule refl :args (@t53)) % 13.21/13.42 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258) :args (@t92)) % 13.21/13.42 (step @p262 :rule cong :premises (@p261) :args (@t93)) % 13.21/13.42 (step @p263 :rule trans :premises (@p262 @p190)) % 13.21/13.42 (step @p264 :rule refl :args (@t16)) % 13.21/13.42 (step @p265 :rule refl :args (@t62)) % 13.21/13.42 (step @p266 :rule bool-and-de-morgan :args (@t53 @t174 true)) % 13.21/13.42 (step @p267 :rule cong :premises (@p266) :args (@t234)) % 13.21/13.42 (step @p268 :rule cong :premises (@p267) :args (@t235)) % 13.21/13.42 (step @p269 :rule exists-elim :args ((= (exists @t44 @t233) @t235))) % 13.21/13.42 (step @p270 :rule trans :premises (@p269 @p268)) % 13.21/13.42 (step @p271 :rule eq-symm :args (@t90 @t6)) % 13.21/13.42 (step @p272 :rule nary_cong :premises (@p260 @p271) :args (@t94)) % 13.21/13.42 (step @p273 :rule cong :premises (@p272) :args (@t95)) % 13.21/13.42 (step @p274 :rule trans :premises (@p273 @p270)) % 13.21/13.42 (step @p275 :rule nary_cong :premises (@p274 @p265) :args (@t96)) % 13.21/13.42 (step @p276 :rule bool-and-de-morgan :args (@t53 @t137 true)) % 13.21/13.42 (step @p277 :rule cong :premises (@p276) :args (@t237)) % 13.21/13.42 (step @p278 :rule cong :premises (@p277) :args (@t238)) % 13.21/13.42 (step @p279 :rule exists-elim :args ((= (exists @t44 @t236) @t238))) % 13.21/13.42 (step @p280 :rule trans :premises (@p279 @p278)) % 13.21/13.42 (step @p281 :rule nary_cong :premises (@p260 @p259) :args (@t97)) % 13.21/13.42 (step @p282 :rule cong :premises (@p281) :args (@t98)) % 13.21/13.42 (step @p283 :rule trans :premises (@p282 @p280)) % 13.21/13.42 (step @p284 :rule nary_cong :premises (@p283 @p67) :args (@t99)) % 13.21/13.42 (step @p285 :rule nary_cong :premises (@p284 @p275 @p264) :args (@t100)) % 13.21/13.42 (step @p286 :rule cong :premises (@p285 @p263) :args (@t101)) % 13.21/13.42 (step @p287 :rule cong :premises (@p286) :args (@t102)) % 13.21/13.42 (step @p288 :rule trans :premises (@p287 @p150)) % 13.21/13.42 (step @p289 :rule cong :premises (@p288 @p86) :args (@t103)) % 13.21/13.42 (step @p290 :rule cong :premises (@p289) :args (@t104)) % 13.21/13.42 (step @p291 :rule eq_resolve :premises (@p39 @p290)) % 13.21/13.42 (step @p292 :rule not_implies_elim2 :premises (@p291)) % 13.21/13.42 (step @p293 :rule not_implies_elim1 :premises (@p292)) % 13.21/13.42 (step @p294 :rule and_elim :premises (@p293) :args (1)) % 13.21/13.42 (step @p295 :rule eq-symm :args (@t239 @t69)) % 13.21/13.42 (step @p296 :rule cong :premises (@p295) :args (@t240)) % 13.21/13.42 (step @p297 :rule refl :args (@t123)) % 13.21/13.42 (step @p298 :rule nary_cong :premises (@p297 @p296) :args (@t241)) % 13.21/13.42 (step @p299 :rule cong :premises (@p298) :args (@t242)) % 13.21/13.42 (step @p300 :rule cong :premises (@p299) :args (@t243)) % 13.21/13.42 (step @p301 :rule refl :args (@t244)) % 13.21/13.42 (step @p302 :rule cong :premises (@p301 @p300) :args (@t245)) % 13.21/13.42 (step @p303 :rule refl :args (@t246)) % 13.21/13.42 (step @p304 :rule cong :premises (@p303 @p302) :args ((=> @t246 @t245))) % 13.21/13.42 (assume-push @p572 @t246) % 13.21/13.42 (step @p306 :rule instantiate :premises (@p294) :args ((@list @t239))) % 13.21/13.42 (step-pop @p573 :rule scope :premises (@p306)) % 13.21/13.42 (step @p307 :rule process_scope :premises (@p573) :args (@t245)) % 13.21/13.42 (step @p309 :rule eq_resolve :premises (@p307 @p304)) % 13.21/13.42 (step @p310 :rule implies_elim :premises (@p309)) % 13.21/13.42 (step @p311 :rule chain_m_resolution :premises (@p310 @p294) :args (@t249 @t250 @t251)) % 13.21/13.42 (step @p312 :rule not_implies_elim2 :premises (@p292)) % 13.21/13.42 (step @p313 :rule not_or_elim :premises (@p312) :args (0)) % 13.21/13.42 (step @p314 :rule skolemize :premises (@p313)) % 13.21/13.42 (step @p315 :rule bool-double-not-elim :args (@t244)) % 13.21/13.42 (step @p316 :rule refl :args (@t266)) % 13.21/13.42 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or @t266 (not @t265)))) % 13.21/13.42 (step @p318 :rule cnf_or_neg :args (@t266 0)) % 13.21/13.42 (step @p319 :rule eq_resolve :premises (@p318 @p317)) % 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(step @p454 :rule chain_m_resolution :premises (@p453 @p447) :args (@t255 @t267 @t328)) % 13.21/13.42 (step @p455 :rule cnf_or_pos :args (@t332)) % 13.21/13.42 (step @p456 :rule reordering :premises (@p455) :args ((or @t256 @t331 @t330 (not @t332)))) % 13.21/13.42 (step @p457 :rule chain_m_resolution :premises (@p456 @p454 @p386 @p359) :args (@t330 @t300 @t333)) % 13.21/13.42 (step @p458 :rule aci_norm :args ((= (or @t334 @t22) (or @t282 @t123 @t152 @t22)))) % 13.21/13.42 (step @p459 :rule refl :args (@t22)) % 13.21/13.42 (step @p460 :rule aci_norm :args ((= (or @t282 (or @t123 @t152)) @t334))) % 13.21/13.42 (step @p461 :rule bool-and-de-morgan :args (@t8 @t16 true)) % 13.21/13.42 (step @p462 :rule refl :args (@t282)) % 13.21/13.42 (step @p463 :rule nary_cong :premises (@p462 @p461) :args ((or @t282 (not (and @t8 @t16))))) % 13.21/13.42 (step @p464 :rule bool-and-de-morgan :args (@t2 @t8 (and @t16))) % 13.21/13.42 (step @p465 :rule trans :premises (@p464 @p463)) % 13.21/13.42 (step @p466 :rule trans :premises (@p465 @p460)) % 13.21/13.42 (step @p467 :rule nary_cong :premises (@p466 @p459) :args ((or (not @t17) @t22))) % 13.21/13.42 (step @p468 :rule trans :premises (@p467 @p458)) % 13.21/13.42 (step @p469 :rule bool-impl-elim :args (@t17 @t22)) % 13.21/13.42 (step @p470 :rule trans :premises (@p469 @p468)) % 13.21/13.42 (step @p471 :rule cong :premises (@p470) :args (@t23)) % 13.21/13.42 (step @p472 :rule eq_resolve :premises (@p12 @p471)) % 13.21/13.42 (step @p473 :rule instantiate :premises (@p472) :args ((@list tptp.xc @t270 @t252))) % 13.21/13.42 (step @p474 :rule bool-double-not-elim :args (@t274)) % 13.21/13.42 (step @p475 :rule nary_cong :premises (@p344 @p474) :args ((or @t276 (not @t275)))) % 13.21/13.42 (step @p476 :rule cnf_or_neg :args (@t276 0)) % 13.21/13.42 (step @p477 :rule eq_resolve :premises (@p476 @p475)) % 13.21/13.42 (step @p478 :rule reordering :premises (@p477) :args ((or @t274 @t276))) % 13.21/13.42 (step @p479 :rule chain_m_resolution 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:premises (@p518 @p506) :args (@t357 @t250 (@list @t347))) % 13.21/13.42 (step @p520 :rule aci_norm :args ((= (or @t283 @t12) (or @t282 @t123 @t12)))) % 13.21/13.42 (step @p521 :rule refl :args (@t12)) % 13.21/13.42 (step @p522 :rule nary_cong :premises (@p352 @p521) :args ((or @t284 @t12))) % 13.21/13.42 (step @p523 :rule trans :premises (@p522 @p520)) % 13.21/13.42 (step @p524 :rule bool-impl-elim :args (@t9 @t12)) % 13.21/13.42 (step @p525 :rule trans :premises (@p524 @p523)) % 13.21/13.42 (step @p526 :rule cong :premises (@p525) :args (@t13)) % 13.21/13.42 (step @p527 :rule eq_resolve :premises (@p6 @p526)) % 13.21/13.42 (step @p528 :rule instantiate :premises (@p527) :args ((@list @t270 @t252))) % 13.21/13.47 (step @p529 :rule cnf_or_pos :args (@t358)) % 13.21/13.47 (step @p530 :rule reordering :premises (@p529) :args ((or @t256 @t275 @t352 (not @t358)))) % 13.21/13.47 (step @p531 :rule chain_m_resolution :premises (@p530 @p454 @p479 @p528) :args (@t352 @t300 (@list @t255 @t274 @t358))) % 13.21/13.47 (step @p532 :rule cnf_or_pos :args (@t357)) % 13.21/13.47 (step @p533 :rule reordering :premises (@p532) :args ((or @t353 @t356 (not @t357)))) % 13.21/13.47 (step @p534 :rule chain_m_resolution :premises (@p533 @p531 @p519) :args (@t356 @t269 (@list @t352 @t357))) % 13.21/13.47 (step @p535 :rule bool-double-not-elim :args (@t355)) % 13.21/13.47 (step @p536 :rule refl :args (@t359)) % 13.21/13.47 (step @p537 :rule refl :args (@t273)) % 13.21/13.47 (step @p538 :rule refl :args (@t360)) % 13.21/13.47 (step @p539 :rule nary_cong :premises (@p538 @p537 @p536 @p535) :args ((or @t360 @t273 @t359 (not @t356)))) % 13.21/13.47 (assume-push @p582 @t356) % 13.21/13.47 (assume-push @p583 @t355) % 13.21/13.47 (step @p542 :rule evaluate :args ((= true false))) % 13.21/13.47 (step @p543 :rule false_intro :premises (@p534)) % 13.21/13.47 (step @p544 :rule chain_m_resolution :premises (@p481 @p38 @p454 @p479 @p473) :args (@t337 @t340 @t341)) % 13.21/13.47 (step @p545 :rule refl :args (@t252)) % 13.21/13.47 (step @p546 :rule cong :premises (@p349 @p545) :args (@t329)) % 13.21/13.47 (step @p547 :rule chain_m_resolution :premises (@p456 @p454 @p386 @p359) :args (@t330 @t300 @t333)) % 13.21/13.47 (step @p548 :rule trans :premises (@p547 @p546 @p544)) % 13.21/13.47 (step @p549 :rule true_intro :premises (@p548)) % 13.21/13.47 (step @p550 :rule symm :premises (@p549)) % 13.21/13.47 (step @p551 :rule trans :premises (@p550 @p543)) % 13.21/13.47 (step @p552 false :rule eq_resolve :premises (@p551 @p542)) % 13.21/13.47 (step-pop @p584 :rule scope :premises (@p552)) % 13.21/13.47 (step-pop @p585 :rule scope :premises (@p584)) % 13.21/13.47 (step @p553 :rule process_scope :premises (@p585) :args (false)) % 13.21/13.47 (assume-push @p586 @t330) % 13.21/13.47 (assume-push @p587 @t272) % 13.21/13.47 (assume-push @p588 @t337) % 13.21/13.47 (assume-push @p589 @t356) % 13.21/13.47 (step @p545 :rule refl :args (@t252)) % 13.21/13.47 (step @p546 :rule cong :premises (@p349 @p545) :args (@t329)) % 13.21/13.47 (step @p560 :rule trans :premises (@p457 @p546 @p482)) % 13.21/13.47 (step @p561 :rule and_intro :premises (@p534 @p560)) % 13.21/13.47 (step-pop @p590 :rule scope :premises (@p561)) % 13.21/13.47 (step-pop @p591 :rule scope :premises (@p590)) % 13.21/13.47 (step-pop @p592 :rule scope :premises (@p591)) % 13.21/13.47 (step-pop @p593 :rule scope :premises (@p592)) % 13.21/13.47 (step @p562 :rule process_scope :premises (@p593) :args (@t361)) % 13.21/13.47 (step @p567 :rule implies_elim :premises (@p562)) % 13.21/13.47 (step @p568 :rule resolution :premises (@p567 @p553) :args (true @t361)) % 13.21/13.47 (step @p569 :rule not_and :premises (@p568)) % 13.21/13.47 (step @p570 :rule eq_resolve :premises (@p569 @p539)) % 13.21/13.47 (step @p571 false :rule chain_m_resolution :premises (@p570 @p534 @p482 @p457 @p349) :args (false (@list true false false false) (@list @t355 @t337 @t330 @t272))) % 13.21/13.47 ) % 13.21/13.47 % SZS output end Proof % 13.21/13.47 % cvc5 exiting %------------------------------------------------------------------------------