%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM558+1 : 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 : n013.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 08:39:50 AM UTC 2026 % Result : Theorem 84.59s 84.83s % Output : Proof 84.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM558+1 : 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 : n013.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 11:29:15 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 84.59/84.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 84.59/84.83 --- Run --no-e-matching --full-saturate-quant at 6... % 84.59/84.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 84.59/84.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 84.59/84.83 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 84.59/84.83 --- Run --trigger-sel=max --full-saturate-quant at 15... % 84.59/84.83 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 84.59/84.83 % SZS status Theorem % 84.59/84.83 % SZS output start Proof % 84.59/84.83 ( % 84.59/84.83 (declare-sort $$unsorted 0) % 84.59/84.83 (declare-const tptp.xP $$unsorted) % 84.59/84.83 (declare-const tptp.xT $$unsorted) % 84.59/84.83 (declare-const tptp.xy $$unsorted) % 84.59/84.83 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 84.59/84.83 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 84.59/84.83 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 84.59/84.83 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 84.59/84.83 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 84.59/84.83 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 84.59/84.83 (declare-const tptp.xQ $$unsorted) % 84.59/84.83 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 84.59/84.83 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 84.59/84.83 (declare-const tptp.xS $$unsorted) % 84.59/84.83 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 84.59/84.83 (declare-const tptp.xx $$unsorted) % 84.59/84.83 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 84.59/84.83 (declare-const tptp.slcrc0 $$unsorted) % 84.59/84.83 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 84.59/84.83 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 84.59/84.83 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 84.59/84.83 (declare-const tptp.xk $$unsorted) % 84.59/84.83 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 84.59/84.83 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 84.59/84.83 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 84.59/84.83 (declare-const tptp.szNzAzT0 $$unsorted) % 84.59/84.83 (declare-const tptp.sz00 $$unsorted) % 84.59/84.83 (define @t1 () (@var "W0" $$unsorted)) % 84.59/84.83 (define @t2 () (tptp.aSet0 @t1)) % 84.59/84.83 (define @t3 () (@list @t1)) % 84.59/84.83 (define @t4 () (tptp.aElement0 @t1)) % 84.59/84.83 (define @t5 () (@var "W1" $$unsorted)) % 84.59/84.83 (define @t6 () (tptp.aElement0 @t5)) % 84.59/84.83 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 84.59/84.83 (define @t8 () (@list @t5)) % 84.59/84.83 (define @t9 () (forall @t8 (=> @t7 @t6))) % 84.59/84.83 (define @t10 () (=> @t2 @t9)) % 84.59/84.83 (define @t11 () (forall @t3 @t10)) % 84.59/84.83 (define @t12 () (tptp.isFinite0 @t1)) % 84.59/84.83 (define @t13 () (= @t1 tptp.slcrc0)) % 84.59/84.83 (define @t14 () (tptp.isCountable0 @t1)) % 84.59/84.83 (define @t15 () (not @t12)) % 84.59/84.83 (define @t16 () (and @t2 @t14)) % 84.59/84.83 (define @t17 () (not @t13)) % 84.59/84.83 (define @t18 () (@var "W2" $$unsorted)) % 84.59/84.83 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 84.59/84.83 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 84.59/84.83 (define @t21 () (@list @t18)) % 84.59/84.83 (define @t22 () (forall @t21 (=> @t20 @t19))) % 84.59/84.83 (define @t23 () (tptp.aSet0 @t5)) % 84.59/84.83 (define @t24 () (and @t23 @t22)) % 84.59/84.83 (define @t25 () (tptp.aSubsetOf0 @t5 @t1)) % 84.59/84.83 (define @t26 () (= @t25 @t24)) % 84.59/84.83 (define @t27 () (forall @t8 @t26)) % 84.59/84.83 (define @t28 () (=> @t2 @t27)) % 84.59/84.83 (define @t29 () (forall @t3 @t28)) % 84.59/84.83 (define @t30 () (tptp.isFinite0 @t5)) % 84.59/84.83 (define @t31 () (and @t2 @t12)) % 84.59/84.83 (define @t32 () (= @t1 @t5)) % 84.59/84.83 (define @t33 () (tptp.aSubsetOf0 @t1 @t5)) % 84.59/84.83 (define @t34 () (@list @t1 @t5)) % 84.59/84.83 (define @t35 () (tptp.aSet0 @t18)) % 84.59/84.83 (define @t36 () (@list @t1 @t5 @t18)) % 84.59/84.83 (define @t37 () (@var "W3" $$unsorted)) % 84.59/84.83 (define @t38 () (= @t37 @t5)) % 84.59/84.83 (define @t39 () (tptp.aElementOf0 @t37 @t1)) % 84.59/84.83 (define @t40 () (or @t39 @t38)) % 84.59/84.83 (define @t41 () (tptp.aElement0 @t37)) % 84.59/84.83 (define @t42 () (and @t41 @t40)) % 84.59/84.83 (define @t43 () (tptp.aElementOf0 @t37 @t18)) % 84.59/84.83 (define @t44 () (= @t43 @t42)) % 84.59/84.83 (define @t45 () (@list @t37)) % 84.59/84.83 (define @t46 () (forall @t45 @t44)) % 84.59/84.83 (define @t47 () (and @t35 @t46)) % 84.59/84.83 (define @t48 () (tptp.sdtpldt0 @t1 @t5)) % 84.59/84.83 (define @t49 () (= @t18 @t48)) % 84.59/84.83 (define @t50 () (= @t49 @t47)) % 84.59/84.83 (define @t51 () (forall @t21 @t50)) % 84.59/84.83 (define @t52 () (and @t2 @t6)) % 84.59/84.83 (define @t53 () (=> @t52 @t51)) % 84.59/84.83 (define @t54 () (forall @t34 @t53)) % 84.59/84.83 (define @t55 () (not @t38)) % 84.59/84.83 (define @t56 () (and @t41 @t39 @t55)) % 84.59/84.83 (define @t57 () (= @t43 @t56)) % 84.59/84.83 (define @t58 () (forall @t45 @t57)) % 84.59/84.83 (define @t59 () (and @t35 @t58)) % 84.59/84.83 (define @t60 () (tptp.sdtmndt0 @t1 @t5)) % 84.59/84.83 (define @t61 () (= @t18 @t60)) % 84.59/84.83 (define @t62 () (= @t61 @t59)) % 84.59/84.83 (define @t63 () (forall @t21 @t62)) % 84.59/84.83 (define @t64 () (=> @t52 @t63)) % 84.59/84.83 (define @t65 () (forall @t34 @t64)) % 84.59/84.83 (define @t66 () (tptp.sdtpldt0 @t5 @t1)) % 84.59/84.83 (define @t67 () (and @t23 (tptp.isCountable0 @t5))) % 84.59/84.83 (define @t68 () (tptp.sdtmndt0 @t5 @t1)) % 84.59/84.83 (define @t69 () (and @t23 @t30)) % 84.59/84.83 (define @t70 () (tptp.szszuzczcdt0 @t1)) % 84.59/84.83 (define @t71 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 84.59/84.83 (define @t72 () (tptp.szszuzczcdt0 @t5)) % 84.59/84.83 (define @t73 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 84.59/84.83 (define @t74 () (and @t71 @t73)) % 84.59/84.83 (define @t75 () (tptp.sdtlseqdt0 @t1 @t5)) % 84.59/84.83 (define @t76 () (tptp.sdtlseqdt0 @t5 @t18)) % 84.59/84.83 (define @t77 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 84.59/84.83 (define @t78 () (tptp.sbrdtbr0 @t1)) % 84.59/84.83 (define @t79 () (not @t7)) % 84.59/84.83 (define @t80 () (and @t2 @t73)) % 84.59/84.83 (define @t81 () (tptp.szmzizndt0 @t1)) % 84.59/84.83 (define @t82 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 84.59/84.83 (define @t83 () (tptp.szmzizndt0 @t5)) % 84.59/84.83 (define @t84 () (tptp.slbdtrb0 @t1)) % 84.59/84.83 (define @t85 () (tptp.slbdtrb0 @t5)) % 84.59/84.83 (define @t86 () (tptp.sbrdtbr0 @t37)) % 84.59/84.83 (define @t87 () (tptp.aSubsetOf0 @t37 @t1)) % 84.59/84.83 (define @t88 () (and @t87 (= @t86 @t5))) % 84.59/84.83 (define @t89 () (= @t43 @t88)) % 84.59/84.83 (define @t90 () (forall @t45 @t89)) % 84.59/84.83 (define @t91 () (and @t35 @t90)) % 84.59/84.83 (define @t92 () (tptp.slbdtsldtrb0 @t1 @t5)) % 84.59/84.83 (define @t93 () (= @t18 @t92)) % 84.59/84.83 (define @t94 () (= @t93 @t91)) % 84.59/84.83 (define @t95 () (forall @t21 @t94)) % 84.59/84.83 (define @t96 () (=> @t80 @t95)) % 84.59/84.83 (define @t97 () (forall @t34 @t96)) % 84.59/84.83 (define @t98 () (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 84.59/84.83 (define @t99 () (tptp.aSet0 tptp.xT)) % 84.59/84.83 (define @t100 () (tptp.aSet0 tptp.xS)) % 84.59/84.83 (define @t101 () (tptp.slbdtsldtrb0 tptp.xS tptp.xk)) % 84.59/84.83 (define @t102 () (tptp.slbdtsldtrb0 tptp.xT tptp.xk)) % 84.59/84.83 (define @t103 () (tptp.aSubsetOf0 @t101 @t102)) % 84.59/84.83 (define @t104 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 84.59/84.83 (define @t105 () (tptp.sbrdtbr0 tptp.xQ)) % 84.59/84.83 (define @t106 () (tptp.aSet0 tptp.xQ)) % 84.59/84.83 (define @t107 () (tptp.aElement0 tptp.xy)) % 84.59/84.83 (define @t108 () (tptp.sdtmndt0 tptp.xQ tptp.xy)) % 84.59/84.83 (define @t109 () (tptp.sdtpldt0 @t108 tptp.xx)) % 84.59/84.83 (define @t110 () (tptp.aElementOf0 tptp.xP @t101)) % 84.59/84.83 (define @t111 () (tptp.aElementOf0 tptp.xx tptp.xT)) % 84.59/84.83 (define @t112 () (@var "BOUND_VARIABLE_7977" $$unsorted)) % 84.59/84.83 (define @t113 () (tptp.aElementOf0 @t37 @t112)) % 84.59/84.83 (define @t114 () (= @t5 @t37)) % 84.59/84.83 (define @t115 () (and @t41 (or @t39 @t114))) % 84.59/84.83 (define @t116 () (forall @t45 (= @t113 @t115))) % 84.59/84.83 (define @t117 () (tptp.aSet0 @t112)) % 84.59/84.83 (define @t118 () (and @t117 @t116)) % 84.59/84.83 (define @t119 () (= (= @t112 @t48) @t118)) % 84.59/84.83 (define @t120 () (not @t6)) % 84.59/84.83 (define @t121 () (not @t2)) % 84.59/84.83 (define @t122 () (or @t121 @t120 @t119)) % 84.59/84.83 (define @t123 () (@list @t1 @t5 @t112)) % 84.59/84.83 (define @t124 () (forall @t123 @t122)) % 84.59/84.83 (define @t125 () (@list @t112)) % 84.59/84.83 (define @t126 () (forall @t125 @t122)) % 84.59/84.83 (define @t127 () (forall @t125 @t119)) % 84.59/84.83 (define @t128 () (@list @t18)) % 84.59/84.83 (define @t129 () (or @t121 @t120 @t127)) % 84.59/84.83 (define @t130 () (forall @t21 (= @t49 (and @t35 (forall @t45 (= @t43 @t115)))))) % 84.59/84.83 (define @t131 () (or @t121 @t120 @t130)) % 84.59/84.83 (define @t132 () (or @t121 @t120)) % 84.59/84.83 (define @t133 () (not @t52)) % 84.59/84.83 (define @t134 () (tptp.aElementOf0 @t37 @t108)) % 84.59/84.83 (define @t135 () (and @t41 (or @t134 (= @t37 tptp.xx)))) % 84.59/84.83 (define @t136 () (tptp.aElementOf0 @t37 @t109)) % 84.59/84.83 (define @t137 () (forall @t45 (= @t136 @t135))) % 84.59/84.83 (define @t138 () (tptp.aSet0 @t109)) % 84.59/84.83 (define @t139 () (and @t138 @t137)) % 84.59/84.83 (define @t140 () (or @t134 (= tptp.xx @t37))) % 84.59/84.83 (define @t141 () (and @t41 @t140)) % 84.59/84.83 (define @t142 () (= @t141 @t136)) % 84.59/84.83 (define @t143 () (forall @t45 @t142)) % 84.59/84.83 (define @t144 () (and @t138 @t143)) % 84.59/84.83 (define @t145 () (= (= @t109 @t109) @t144)) % 84.59/84.83 (define @t146 () (tptp.aElement0 tptp.xx)) % 84.59/84.83 (define @t147 () (not @t146)) % 84.59/84.83 (define @t148 () (tptp.aSet0 @t108)) % 84.59/84.83 (define @t149 () (not @t148)) % 84.59/84.83 (define @t150 () (or @t149 @t147 @t145)) % 84.59/84.83 (define @t151 () (forall @t123 (or @t121 @t120 (= (= @t48 @t112) (and @t117 (forall @t45 (= @t115 @t113))))))) % 84.59/84.83 (define @t152 () (or @t149 @t147 @t139)) % 84.59/84.83 (define @t153 () (@list false)) % 84.59/84.83 (define @t154 () (@var "BOUND_VARIABLE_8008" $$unsorted)) % 84.59/84.83 (define @t155 () (tptp.aElementOf0 @t37 @t154)) % 84.59/84.83 (define @t156 () (and @t41 @t39 (not @t114))) % 84.59/84.83 (define @t157 () (forall @t45 (= @t155 @t156))) % 84.59/84.83 (define @t158 () (tptp.aSet0 @t154)) % 84.59/84.83 (define @t159 () (and @t158 @t157)) % 84.59/84.83 (define @t160 () (= (= @t154 @t60) @t159)) % 84.59/84.83 (define @t161 () (or @t121 @t120 @t160)) % 84.59/84.83 (define @t162 () (@list @t1 @t5 @t154)) % 84.59/84.83 (define @t163 () (forall @t162 @t161)) % 84.59/84.83 (define @t164 () (@list @t154)) % 84.59/84.83 (define @t165 () (forall @t164 @t161)) % 84.59/84.83 (define @t166 () (forall @t164 @t160)) % 84.59/84.83 (define @t167 () (or @t121 @t120 @t166)) % 84.59/84.83 (define @t168 () (forall @t21 (= @t61 (and @t35 (forall @t45 (= @t43 @t156)))))) % 84.59/84.83 (define @t169 () (or @t121 @t120 @t168)) % 84.59/84.83 (define @t170 () (tptp.aElementOf0 @t37 tptp.xQ)) % 84.59/84.83 (define @t171 () (and @t41 @t170 (not (= @t37 tptp.xy)))) % 84.59/84.83 (define @t172 () (and @t148 (forall @t45 (= @t134 @t171)))) % 84.59/84.83 (define @t173 () (not (= tptp.xy @t37))) % 84.59/84.83 (define @t174 () (and @t41 @t170 @t173)) % 84.59/84.83 (define @t175 () (= @t174 @t134)) % 84.59/84.83 (define @t176 () (forall @t45 @t175)) % 84.59/84.83 (define @t177 () (and @t148 @t176)) % 84.59/84.83 (define @t178 () (= (= @t108 @t108) @t177)) % 84.59/84.83 (define @t179 () (not @t107)) % 84.59/84.83 (define @t180 () (not @t106)) % 84.59/84.83 (define @t181 () (or @t180 @t179 @t178)) % 84.59/84.83 (define @t182 () (forall @t162 (or @t121 @t120 (= (= @t60 @t154) (and @t158 (forall @t45 (= @t156 @t155))))))) % 84.59/84.83 (define @t183 () (or @t180 @t179 @t172)) % 84.59/84.83 (define @t184 () (@list false false false)) % 84.59/84.83 (define @t185 () (@var "BOUND_VARIABLE_7855" $$unsorted)) % 84.59/84.83 (define @t186 () (tptp.aElement0 @t185)) % 84.59/84.83 (define @t187 () (not (tptp.aElementOf0 @t185 @t1))) % 84.59/84.83 (define @t188 () (or @t187 @t186)) % 84.59/84.83 (define @t189 () (or @t121 @t188)) % 84.59/84.83 (define @t190 () (forall (@list @t1 @t185) @t189)) % 84.59/84.83 (define @t191 () (@list @t185)) % 84.59/84.83 (define @t192 () (forall @t191 @t189)) % 84.59/84.83 (define @t193 () (forall @t191 @t188)) % 84.59/84.83 (define @t194 () (@list @t5)) % 84.59/84.83 (define @t195 () (or @t121 @t193)) % 84.59/84.83 (define @t196 () (forall @t8 (or @t79 @t6))) % 84.59/84.83 (define @t197 () (not @t104)) % 84.59/84.83 (define @t198 () (not @t100)) % 84.59/84.83 (define @t199 () (or @t198 @t197 @t146)) % 84.59/84.83 (define @t200 () (@var "BOUND_VARIABLE_7904" $$unsorted)) % 84.59/84.83 (define @t201 () (= (tptp.aSubsetOf0 @t200 @t1) (and (tptp.aSet0 @t200) (forall @t21 (or (not (tptp.aElementOf0 @t18 @t200)) @t19))))) % 84.59/84.83 (define @t202 () (or @t121 @t201)) % 84.59/84.83 (define @t203 () (@list @t200)) % 84.59/84.83 (define @t204 () (forall @t203 @t202)) % 84.59/84.83 (define @t205 () (forall @t203 @t201)) % 84.59/84.83 (define @t206 () (or @t121 @t205)) % 84.59/84.83 (define @t207 () (forall @t8 (= @t25 (and @t23 (forall @t21 (or (not @t20) @t19)))))) % 84.59/84.83 (define @t208 () (forall @t21 (or (not (tptp.aElementOf0 @t18 @t109)) (tptp.aElementOf0 @t18 tptp.xT)))) % 84.59/84.83 (define @t209 () (and @t138 @t208)) % 84.59/84.83 (define @t210 () (tptp.aSubsetOf0 @t109 tptp.xT)) % 84.59/84.83 (define @t211 () (= @t210 @t209)) % 84.59/84.83 (define @t212 () (not @t99)) % 84.59/84.83 (define @t213 () (or @t212 @t211)) % 84.59/84.83 (define @t214 () (@list false false)) % 84.59/84.83 (define @t215 () (@var "BOUND_VARIABLE_8480" $$unsorted)) % 84.59/84.83 (define @t216 () (tptp.aElementOf0 @t37 @t215)) % 84.59/84.83 (define @t217 () (and @t87 (= @t5 @t86))) % 84.59/84.83 (define @t218 () (forall @t45 (= @t216 @t217))) % 84.59/84.83 (define @t219 () (tptp.aSet0 @t215)) % 84.59/84.83 (define @t220 () (and @t219 @t218)) % 84.59/84.83 (define @t221 () (= (= @t215 @t92) @t220)) % 84.59/84.83 (define @t222 () (not @t73)) % 84.59/84.83 (define @t223 () (or @t121 @t222 @t221)) % 84.59/84.83 (define @t224 () (@list @t1 @t5 @t215)) % 84.59/84.83 (define @t225 () (forall @t224 @t223)) % 84.59/84.83 (define @t226 () (@list @t215)) % 84.59/84.83 (define @t227 () (forall @t226 @t223)) % 84.59/84.83 (define @t228 () (forall @t226 @t221)) % 84.59/84.83 (define @t229 () (or @t121 @t222 @t228)) % 84.59/84.83 (define @t230 () (forall @t21 (= @t93 (and @t35 (forall @t45 (= @t43 @t217)))))) % 84.59/84.83 (define @t231 () (or @t121 @t222 @t230)) % 84.59/84.83 (define @t232 () (tptp.aSubsetOf0 @t37 tptp.xT)) % 84.59/84.83 (define @t233 () (and @t232 (= @t86 @t105))) % 84.59/84.83 (define @t234 () (tptp.slbdtsldtrb0 tptp.xT @t105)) % 84.59/84.83 (define @t235 () (tptp.aElementOf0 @t37 @t234)) % 84.59/84.83 (define @t236 () (forall @t45 (= @t235 @t233))) % 84.59/84.83 (define @t237 () (tptp.aSet0 @t234)) % 84.59/84.83 (define @t238 () (and @t237 @t236)) % 84.59/84.83 (define @t239 () (and @t232 (= @t105 @t86))) % 84.59/84.83 (define @t240 () (= @t239 @t235)) % 84.59/84.83 (define @t241 () (forall @t45 @t240)) % 84.59/84.83 (define @t242 () (and @t237 @t241)) % 84.59/84.83 (define @t243 () (= (= @t234 @t234) @t242)) % 84.59/84.83 (define @t244 () (tptp.aElementOf0 @t105 tptp.szNzAzT0)) % 84.59/84.83 (define @t245 () (not @t244)) % 84.59/84.83 (define @t246 () (or @t212 @t245 @t243)) % 84.59/84.83 (define @t247 () (forall @t224 (or @t121 @t222 (= (= @t92 @t215) (and @t219 (forall @t45 (= @t217 @t216))))))) % 84.59/84.83 (define @t248 () (or @t212 @t245 @t238)) % 84.59/84.83 (define @t249 () (not @t238)) % 84.59/84.83 (define @t250 () (@list @t238)) % 84.59/84.83 (define @t251 () (tptp.sbrdtbr0 @t109)) % 84.59/84.83 (define @t252 () (and @t210 (= @t251 @t105))) % 84.59/84.83 (define @t253 () (tptp.aElementOf0 @t109 @t234)) % 84.59/84.83 (define @t254 () (= @t253 @t252)) % 84.59/84.83 (define @t255 () (@list @t109)) % 84.59/84.83 (define @t256 () (and @t210 (= @t105 @t251))) % 84.59/84.83 (define @t257 () (= @t253 @t256)) % 84.59/84.83 (define @t258 () (tptp.slbdtsldtrb0 tptp.xS @t105)) % 84.59/84.83 (define @t259 () (forall @t21 (or (not (tptp.aElementOf0 @t18 @t258)) (tptp.aElementOf0 @t18 @t234)))) % 84.59/84.83 (define @t260 () (and (tptp.aSet0 @t258) @t259)) % 84.59/84.83 (define @t261 () (tptp.aSubsetOf0 @t258 @t234)) % 84.59/84.83 (define @t262 () (= @t261 @t260)) % 84.59/84.83 (define @t263 () (not @t237)) % 84.59/84.83 (define @t264 () (or @t263 @t262)) % 84.59/84.83 (define @t265 () (tptp.aElementOf0 @t109 @t258)) % 84.59/84.83 (define @t266 () (not @t265)) % 84.59/84.83 (define @t267 () (or @t266 @t253)) % 84.59/84.83 (define @t268 () (@list tptp.xx)) % 84.59/84.83 (define @t269 () (tptp.aElementOf0 tptp.xx @t109)) % 84.59/84.83 (define @t270 () (not @t269)) % 84.59/84.83 (define @t271 () (or @t270 @t111)) % 84.59/84.83 (define @t272 () (@list true false)) % 84.59/84.83 (define @t273 () (= @t146 @t269)) % 84.59/84.83 (define @t274 () (not @t273)) % 84.59/84.83 (define @t275 () (tptp.aElementOf0 tptp.xx @t108)) % 84.59/84.83 (define @t276 () (or @t275 (= tptp.xx tptp.xx))) % 84.59/84.83 (define @t277 () (and @t146 @t276)) % 84.59/84.83 (define @t278 () (= @t269 @t277)) % 84.59/84.83 (assume @p1 (forall @t3 (=> @t2 true))) % 84.59/84.83 (assume @p2 (forall @t3 (=> @t4 true))) % 84.59/84.83 (assume @p3 @t11) % 84.59/84.83 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 84.59/84.83 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 84.59/84.83 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 84.59/84.83 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 84.59/84.83 (assume @p8 (forall @t3 (=> @t16 @t15))) % 84.59/84.83 (assume @p9 (forall @t3 (=> @t16 @t17))) % 84.59/84.83 (assume @p10 @t29) % 84.59/84.83 (assume @p11 (forall @t3 (=> @t31 (forall @t8 (=> @t25 @t30))))) % 84.59/84.83 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 84.59/84.83 (assume @p13 (forall @t34 (=> (and @t2 @t23) (=> (and @t33 @t25) @t32)))) % 84.59/84.83 (assume @p14 (forall @t36 (=> (and @t2 @t23 @t35) (=> (and @t33 (tptp.aSubsetOf0 @t5 @t18)) (tptp.aSubsetOf0 @t1 @t18))))) % 84.59/84.83 (assume @p15 @t54) % 84.59/84.83 (assume @p16 @t65) % 84.59/84.83 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t60 @t5) @t1)))))) % 84.59/84.83 (assume @p18 (forall @t34 (=> (and @t4 @t23) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t66 @t1) @t5))))) % 84.59/84.83 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t67 (tptp.isCountable0 @t66)))))) % 84.59/84.83 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t67 (tptp.isCountable0 @t68)))))) % 84.59/84.83 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t69 (tptp.isFinite0 @t66)))))) % 84.59/84.83 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t69 (tptp.isFinite0 @t68)))))) % 84.59/84.83 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 84.59/84.83 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 84.59/84.83 (assume @p25 (forall @t3 (=> @t71 (and (tptp.aElementOf0 @t70 tptp.szNzAzT0) (not (= @t70 tptp.sz00)))))) % 84.59/84.83 (assume @p26 (forall @t34 (=> @t74 (=> (= @t70 @t72) @t32)))) % 84.59/84.83 (assume @p27 (forall @t3 (=> @t71 (or (= @t1 tptp.sz00) (exists @t8 (and @t73 (= @t1 @t72))))))) % 84.59/84.83 (assume @p28 (forall @t3 (=> @t71 (not (= @t1 @t70))))) % 84.59/84.83 (assume @p29 (forall @t34 (=> @t74 (=> @t75 true)))) % 84.59/84.83 (assume @p30 (forall @t3 (=> @t71 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 84.59/84.83 (assume @p31 (forall @t3 (=> @t71 (not (tptp.sdtlseqdt0 @t70 tptp.sz00))))) % 84.59/84.83 (assume @p32 (forall @t34 (=> @t74 (= @t75 (tptp.sdtlseqdt0 @t70 @t72))))) % 84.59/84.83 (assume @p33 (forall @t3 (=> @t71 (tptp.sdtlseqdt0 @t1 @t70)))) % 84.59/84.83 (assume @p34 (forall @t3 (=> @t71 (tptp.sdtlseqdt0 @t1 @t1)))) % 84.59/84.83 (assume @p35 (forall @t34 (=> @t74 (=> (and @t75 (tptp.sdtlseqdt0 @t5 @t1)) @t32)))) % 84.59/84.83 (assume @p36 (forall @t36 (=> (and @t71 @t73 @t77) (=> (and @t75 @t76) (tptp.sdtlseqdt0 @t1 @t18))))) % 84.59/84.83 (assume @p37 (forall @t34 (=> @t74 (or @t75 (tptp.sdtlseqdt0 @t72 @t1))))) % 84.59/84.83 (assume @p38 (forall @t34 (=> @t74 (=> (tptp.iLess0 @t1 @t5) true)))) % 84.59/84.83 (assume @p39 (forall @t3 (=> @t71 (tptp.iLess0 @t1 @t70)))) % 84.59/84.83 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t78)))) % 84.59/84.83 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t78 tptp.szNzAzT0) @t12)))) % 84.59/84.83 (assume @p42 (forall @t3 (=> @t2 (= (= @t78 tptp.sz00) @t13)))) % 84.59/84.83 (assume @p43 (forall @t3 (=> @t31 (forall @t8 (=> @t6 (=> @t79 (= (tptp.sbrdtbr0 @t48) (tptp.szszuzczcdt0 @t78)))))))) % 84.59/84.83 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t60)) @t78)))))) % 84.59/84.83 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t25) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t78)))))) % 84.59/84.83 (assume @p46 (forall @t34 (=> @t80 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t78)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 84.59/84.83 (assume @p47 (forall @t3 (=> (and @t82 @t17) (forall @t8 (= (= @t5 @t81) (and @t7 (forall @t21 (=> @t19 @t76)))))))) % 84.59/84.83 (assume @p48 (forall @t3 (=> (and @t82 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 84.59/84.83 (assume @p49 (forall @t34 (=> (and @t82 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t81 @t5) (tptp.aElementOf0 @t83 @t1)) (= @t81 @t83))))) % 84.59/84.83 (assume @p50 (forall @t3 (=> @t71 (forall @t8 (= (= @t5 @t84) (and @t23 (forall @t21 (= @t20 (and @t77 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 84.59/84.83 (assume @p51 (forall @t3 (=> @t71 (tptp.isFinite0 @t84)))) % 84.59/84.83 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 84.59/84.83 (assume @p53 (forall @t34 (=> @t74 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t72)) (or (tptp.aElementOf0 @t1 @t85) @t32))))) % 84.59/84.83 (assume @p54 (forall @t34 (=> @t74 (= @t75 (tptp.aSubsetOf0 @t84 @t85))))) % 84.59/84.83 (assume @p55 (forall @t3 (=> (and @t82 @t12) (exists @t8 (and @t73 (tptp.aSubsetOf0 @t1 @t85)))))) % 84.59/84.83 (assume @p56 (forall @t3 (=> @t71 (= (tptp.sbrdtbr0 @t84) @t1)))) % 84.59/84.83 (assume @p57 @t97) % 84.59/84.83 (assume @p58 (forall @t3 (=> @t31 (forall @t8 (=> @t73 (tptp.isFinite0 @t92)))))) % 84.59/84.83 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t73 (not (= @t92 tptp.slcrc0))))))) % 84.59/84.83 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t73 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t92)))))) % 84.59/84.83 (assume @p61 @t98) % 84.59/84.83 (assume @p62 (and @t100 @t99 (not (= tptp.xk tptp.sz00)))) % 84.59/84.83 (assume @p63 (and @t103 (not (= @t101 tptp.slcrc0)))) % 84.59/84.83 (assume @p64 @t104) % 84.59/84.83 (assume @p65 (tptp.aElementOf0 tptp.xQ @t101)) % 84.59/84.83 (assume @p66 (and @t106 (tptp.isFinite0 tptp.xQ) (= @t105 tptp.xk))) % 84.59/84.83 (assume @p67 (and @t107 (tptp.aElementOf0 tptp.xy tptp.xQ))) % 84.59/84.83 (assume @p68 (not (tptp.aElementOf0 tptp.xx tptp.xQ))) % 84.59/84.83 (assume @p69 (= tptp.xP @t109)) % 84.59/84.83 (assume @p70 @t110) % 84.59/84.83 (assume @p71 (not @t111)) % 84.59/84.83 (assume @p72 true) % 84.59/84.83 (step @p73 :rule eq-symm :args (@t113 @t115)) % 84.59/84.83 (step @p74 :rule cong :premises (@p73) :args (@t116)) % 84.59/84.83 (step @p75 :rule refl :args (@t117)) % 84.59/84.83 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t118)) % 84.59/84.83 (step @p77 :rule eq-symm :args (@t112 @t48)) % 84.59/84.83 (step @p78 :rule cong :premises (@p77 @p76) :args (@t119)) % 84.59/84.83 (step @p79 :rule refl :args (@t120)) % 84.59/84.83 (step @p80 :rule refl :args (@t121)) % 84.59/84.83 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t122)) % 84.59/84.83 (step @p82 :rule cong :premises (@p81) :args (@t124)) % 84.59/84.83 (step @p83 :rule quant-merge-prenex :args ((= (forall @t34 @t126) @t124))) % 84.59/84.83 (step @p84 :rule alpha_equiv :args (@t127 (@list @t112) @t128)) % 84.59/84.83 (step @p85 :rule refl :args (@t120)) % 84.59/84.83 (step @p86 :rule refl :args (@t121)) % 84.59/84.83 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t129)) % 84.59/84.83 (step @p88 :rule quant-miniscope-or :args ((= @t126 @t129))) % 84.59/84.83 (step @p89 :rule trans :premises (@p88 @p87)) % 84.59/84.83 (step @p90 :rule symm :premises (@p89)) % 84.59/84.83 (step @p91 :rule cong :premises (@p90) :args ((forall @t34 @t131))) % 84.59/84.83 (step @p92 :rule trans :premises (@p91 @p83)) % 84.59/84.83 (step @p93 :rule trans :premises (@p92 @p82)) % 84.59/84.83 (step @p94 :rule aci_norm :args ((= (or @t132 @t130) @t131))) % 84.59/84.83 (step @p95 :rule refl :args (@t130)) % 84.59/84.83 (step @p96 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 84.59/84.83 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t133 @t130))) % 84.59/84.83 (step @p98 :rule trans :premises (@p97 @p94)) % 84.59/84.83 (step @p99 :rule bool-impl-elim :args (@t52 @t130)) % 84.59/84.83 (step @p100 :rule trans :premises (@p99 @p98)) % 84.59/84.83 (step @p101 :rule cong :premises (@p100) :args ((forall @t34 (=> @t52 @t130)))) % 84.59/84.83 (step @p102 :rule trans :premises (@p101 @p93)) % 84.59/84.83 (step @p103 :rule eq-symm :args (@t37 @t5)) % 84.59/84.83 (step @p104 :rule refl :args (@t39)) % 84.59/84.83 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t40)) % 84.59/84.83 (step @p106 :rule refl :args (@t41)) % 84.59/84.83 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t42)) % 84.59/84.83 (step @p108 :rule refl :args (@t43)) % 84.59/84.83 (step @p109 :rule cong :premises (@p108 @p107) :args (@t44)) % 84.59/84.83 (step @p110 :rule cong :premises (@p109) :args (@t46)) % 84.59/84.83 (step @p111 :rule refl :args (@t35)) % 84.59/84.83 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t47)) % 84.59/84.83 (step @p113 :rule refl :args (@t49)) % 84.59/84.83 (step @p114 :rule cong :premises (@p113 @p112) :args (@t50)) % 84.59/84.83 (step @p115 :rule cong :premises (@p114) :args (@t51)) % 84.59/84.83 (step @p116 :rule refl :args (@t52)) % 84.59/84.83 (step @p117 :rule cong :premises (@p116 @p115) :args (@t53)) % 84.59/84.83 (step @p118 :rule cong :premises (@p117) :args (@t54)) % 84.59/84.83 (step @p119 :rule trans :premises (@p118 @p102)) % 84.59/84.83 (step @p120 :rule eq_resolve :premises (@p15 @p119)) % 84.59/84.83 (step @p121 :rule bool-eq-true :args (@t139)) % 84.59/84.83 (step @p122 :rule eq-symm :args (true @t139)) % 84.59/84.83 (step @p123 :rule trans :premises (@p122 @p121)) % 84.59/84.83 (step @p124 :rule eq-symm :args (@t135 @t136)) % 84.59/84.83 (step @p125 :rule refl :args (@t136)) % 84.59/84.83 (step @p126 :rule eq-symm :args (tptp.xx @t37)) % 84.59/84.83 (step @p127 :rule refl :args (@t134)) % 84.59/84.83 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t140)) % 84.59/84.83 (step @p129 :rule nary_cong :premises (@p106 @p128) :args (@t141)) % 84.59/84.83 (step @p130 :rule cong :premises (@p129 @p125) :args (@t142)) % 84.59/84.83 (step @p131 :rule trans :premises (@p130 @p124)) % 84.59/84.83 (step @p132 :rule cong :premises (@p131) :args (@t143)) % 84.59/84.83 (step @p133 :rule refl :args (@t138)) % 84.59/84.83 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t144)) % 84.59/84.83 (step @p135 :rule eq-refl :args (@t109)) % 84.59/84.83 (step @p136 :rule cong :premises (@p135 @p134) :args (@t145)) % 84.59/84.83 (step @p137 :rule trans :premises (@p136 @p123)) % 84.59/84.83 (step @p138 :rule refl :args (@t147)) % 84.59/84.83 (step @p139 :rule refl :args (@t149)) % 84.59/84.83 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t150)) % 84.59/84.83 (step @p141 :rule refl :args (@t151)) % 84.59/84.83 (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t151 @t150))) % 84.59/84.83 (assume-push @p444 @t151) % 84.59/84.83 (step @p144 :rule instantiate :premises (@p120) :args ((@list @t108 tptp.xx @t109))) % 84.59/84.83 (step-pop @p445 :rule scope :premises (@p144)) % 84.59/84.83 (step @p145 :rule process_scope :premises (@p445) :args (@t150)) % 84.59/84.83 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 84.59/84.83 (step @p148 :rule implies_elim :premises (@p147)) % 84.59/84.83 (step @p149 :rule chain_m_resolution :premises (@p148 @p120) :args (@t152 @t153 (@list @t151))) % 84.59/84.83 (step @p150 :rule eq-symm :args (@t155 @t156)) % 84.59/84.83 (step @p151 :rule cong :premises (@p150) :args (@t157)) % 84.59/84.83 (step @p152 :rule refl :args (@t158)) % 84.59/84.83 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t159)) % 84.59/84.83 (step @p154 :rule eq-symm :args (@t154 @t60)) % 84.59/84.83 (step @p155 :rule cong :premises (@p154 @p153) :args (@t160)) % 84.59/84.83 (step @p156 :rule nary_cong :premises (@p80 @p79 @p155) :args (@t161)) % 84.59/84.83 (step @p157 :rule cong :premises (@p156) :args (@t163)) % 84.59/84.83 (step @p158 :rule quant-merge-prenex :args ((= (forall @t34 @t165) @t163))) % 84.59/84.83 (step @p159 :rule alpha_equiv :args (@t166 (@list @t154) @t128)) % 84.59/84.83 (step @p160 :rule nary_cong :premises (@p86 @p85 @p159) :args (@t167)) % 84.59/84.83 (step @p161 :rule quant-miniscope-or :args ((= @t165 @t167))) % 84.59/84.83 (step @p162 :rule trans :premises (@p161 @p160)) % 84.59/84.83 (step @p163 :rule symm :premises (@p162)) % 84.59/84.83 (step @p164 :rule cong :premises (@p163) :args ((forall @t34 @t169))) % 84.59/84.83 (step @p165 :rule trans :premises (@p164 @p158)) % 84.59/84.83 (step @p166 :rule trans :premises (@p165 @p157)) % 84.59/84.83 (step @p167 :rule aci_norm :args ((= (or @t132 @t168) @t169))) % 84.59/84.83 (step @p168 :rule refl :args (@t168)) % 84.59/84.83 (step @p169 :rule nary_cong :premises (@p96 @p168) :args ((or @t133 @t168))) % 84.59/84.83 (step @p170 :rule trans :premises (@p169 @p167)) % 84.59/84.83 (step @p171 :rule bool-impl-elim :args (@t52 @t168)) % 84.59/84.83 (step @p172 :rule trans :premises (@p171 @p170)) % 84.59/84.83 (step @p173 :rule cong :premises (@p172) :args ((forall @t34 (=> @t52 @t168)))) % 84.59/84.83 (step @p174 :rule trans :premises (@p173 @p166)) % 84.59/84.83 (step @p175 :rule cong :premises (@p103) :args (@t55)) % 84.59/84.83 (step @p176 :rule nary_cong :premises (@p106 @p104 @p175) :args (@t56)) % 84.59/84.83 (step @p177 :rule cong :premises (@p108 @p176) :args (@t57)) % 84.59/84.83 (step @p178 :rule cong :premises (@p177) :args (@t58)) % 84.59/84.83 (step @p179 :rule nary_cong :premises (@p111 @p178) :args (@t59)) % 84.59/84.83 (step @p180 :rule refl :args (@t61)) % 84.59/84.83 (step @p181 :rule cong :premises (@p180 @p179) :args (@t62)) % 84.59/84.83 (step @p182 :rule cong :premises (@p181) :args (@t63)) % 84.59/84.83 (step @p183 :rule cong :premises (@p116 @p182) :args (@t64)) % 84.59/84.83 (step @p184 :rule cong :premises (@p183) :args (@t65)) % 84.59/84.83 (step @p185 :rule trans :premises (@p184 @p174)) % 84.59/84.83 (step @p186 :rule eq_resolve :premises (@p16 @p185)) % 84.59/84.83 (step @p187 :rule bool-eq-true :args (@t172)) % 84.59/84.83 (step @p188 :rule eq-symm :args (true @t172)) % 84.59/84.83 (step @p189 :rule trans :premises (@p188 @p187)) % 84.59/84.83 (step @p190 :rule eq-symm :args (@t171 @t134)) % 84.59/84.83 (step @p191 :rule eq-symm :args (tptp.xy @t37)) % 84.59/84.83 (step @p192 :rule cong :premises (@p191) :args (@t173)) % 84.59/84.83 (step @p193 :rule refl :args (@t170)) % 84.59/84.83 (step @p194 :rule nary_cong :premises (@p106 @p193 @p192) :args (@t174)) % 84.59/84.83 (step @p195 :rule cong :premises (@p194 @p127) :args (@t175)) % 84.59/84.83 (step @p196 :rule trans :premises (@p195 @p190)) % 84.59/84.83 (step @p197 :rule cong :premises (@p196) :args (@t176)) % 84.59/84.83 (step @p198 :rule refl :args (@t148)) % 84.59/84.83 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t177)) % 84.59/84.83 (step @p200 :rule eq-refl :args (@t108)) % 84.59/84.83 (step @p201 :rule cong :premises (@p200 @p199) :args (@t178)) % 84.59/84.83 (step @p202 :rule trans :premises (@p201 @p189)) % 84.59/84.83 (step @p203 :rule refl :args (@t179)) % 84.59/84.83 (step @p204 :rule refl :args (@t180)) % 84.59/84.83 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202) :args (@t181)) % 84.59/84.83 (step @p206 :rule refl :args (@t182)) % 84.59/84.83 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t182 @t181))) % 84.59/84.83 (assume-push @p446 @t182) % 84.59/84.83 (step @p209 :rule instantiate :premises (@p186) :args ((@list tptp.xQ tptp.xy @t108))) % 84.59/84.83 (step-pop @p447 :rule scope :premises (@p209)) % 84.59/84.83 (step @p210 :rule process_scope :premises (@p447) :args (@t181)) % 84.59/84.83 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 84.59/84.83 (step @p213 :rule implies_elim :premises (@p212)) % 84.59/84.83 (step @p214 :rule chain_m_resolution :premises (@p213 @p186) :args (@t183 @t153 (@list @t182))) % 84.59/84.83 (step @p215 :rule and_elim :premises (@p67) :args (0)) % 84.59/84.83 (step @p216 :rule and_elim :premises (@p66) :args (0)) % 84.59/84.83 (step @p217 :rule cnf_or_pos :args (@t183)) % 84.59/84.83 (step @p218 :rule reordering :premises (@p217) :args ((or @t180 @t179 @t172 (not @t183)))) % 84.59/84.83 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p215 @p214) :args (@t172 @t184 (@list @t106 @t107 @t183))) % 84.59/84.83 (step @p220 :rule cnf_and_pos :args (@t172 0)) % 84.59/84.83 (step @p221 :rule reordering :premises (@p220) :args ((or @t148 (not @t172)))) % 84.59/84.83 (step @p222 :rule chain_m_resolution :premises (@p221 @p219) :args (@t148 @t153 (@list @t172))) % 84.59/84.83 (step @p223 :rule aci_norm :args ((= @t189 (or @t121 @t187 @t186)))) % 84.59/84.83 (step @p224 :rule cong :premises (@p223) :args (@t190)) % 84.59/84.83 (step @p225 :rule quant-merge-prenex :args ((= (forall @t3 @t192) @t190))) % 84.59/84.83 (step @p226 :rule alpha_equiv :args (@t193 (@list @t185) @t194)) % 84.59/84.83 (step @p227 :rule nary_cong :premises (@p86 @p226) :args (@t195)) % 84.59/84.83 (step @p228 :rule quant-miniscope-or :args ((= @t192 @t195))) % 84.59/84.83 (step @p229 :rule trans :premises (@p228 @p227)) % 84.59/84.83 (step @p230 :rule symm :premises (@p229)) % 84.59/84.83 (step @p231 :rule cong :premises (@p230) :args ((forall @t3 (or @t121 @t196)))) % 84.59/84.83 (step @p232 :rule trans :premises (@p231 @p225)) % 84.59/84.83 (step @p233 :rule trans :premises (@p232 @p224)) % 84.59/84.83 (step @p234 :rule bool-impl-elim :args (@t2 @t196)) % 84.59/84.83 (step @p235 :rule cong :premises (@p234) :args ((forall @t3 (=> @t2 @t196)))) % 84.59/84.83 (step @p236 :rule trans :premises (@p235 @p233)) % 84.59/84.83 (step @p237 :rule bool-impl-elim :args (@t7 @t6)) % 84.59/84.83 (step @p238 :rule cong :premises (@p237) :args (@t9)) % 84.59/84.83 (step @p239 :rule refl :args (@t2)) % 84.59/84.83 (step @p240 :rule cong :premises (@p239 @p238) :args (@t10)) % 84.59/84.83 (step @p241 :rule cong :premises (@p240) :args (@t11)) % 84.59/84.83 (step @p242 :rule trans :premises (@p241 @p236)) % 84.59/84.83 (step @p243 :rule eq_resolve :premises (@p3 @p242)) % 84.59/84.83 (step @p244 :rule instantiate :premises (@p243) :args ((@list tptp.xS tptp.xx))) % 84.59/84.83 (step @p245 :rule and_elim :premises (@p62) :args (0)) % 84.59/84.83 (step @p246 :rule cnf_or_pos :args (@t199)) % 84.59/84.83 (step @p247 :rule reordering :premises (@p246) :args ((or @t198 @t197 @t146 (not @t199)))) % 84.59/84.83 (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p64 @p244) :args (@t146 @t184 (@list @t100 @t104 @t199))) % 84.59/84.83 (step @p249 :rule cnf_or_pos :args (@t152)) % 84.59/84.83 (step @p250 :rule reordering :premises (@p249) :args ((or @t147 @t149 @t139 (not @t152)))) % 84.59/84.83 (step @p251 :rule chain_m_resolution :premises (@p250 @p248 @p222 @p149) :args (@t139 @t184 (@list @t146 @t148 @t152))) % 84.59/84.83 (step @p252 :rule cnf_and_pos :args (@t139 1)) % 84.59/84.83 (step @p253 :rule reordering :premises (@p252) :args ((or @t137 (not @t139)))) % 84.59/84.83 (step @p254 :rule chain_m_resolution :premises (@p253 @p251) :args (@t137 @t153 (@list @t139))) % 84.59/84.83 (step @p255 :rule quant-merge-prenex :args ((= (forall @t3 @t204) (forall (@list @t1 @t200) @t202)))) % 84.59/84.83 (step @p256 :rule alpha_equiv :args (@t205 (@list @t200) @t194)) % 84.59/84.83 (step @p257 :rule nary_cong :premises (@p86 @p256) :args (@t206)) % 84.59/84.83 (step @p258 :rule quant-miniscope-or :args ((= @t204 @t206))) % 84.59/84.83 (step @p259 :rule trans :premises (@p258 @p257)) % 84.59/84.83 (step @p260 :rule symm :premises (@p259)) % 84.59/84.83 (step @p261 :rule cong :premises (@p260) :args ((forall @t3 (or @t121 @t207)))) % 84.59/84.83 (step @p262 :rule trans :premises (@p261 @p255)) % 84.59/84.83 (step @p263 :rule bool-impl-elim :args (@t2 @t207)) % 84.59/84.83 (step @p264 :rule cong :premises (@p263) :args ((forall @t3 (=> @t2 @t207)))) % 84.59/84.83 (step @p265 :rule trans :premises (@p264 @p262)) % 84.59/84.83 (step @p266 :rule bool-impl-elim :args (@t20 @t19)) % 84.59/84.83 (step @p267 :rule cong :premises (@p266) :args (@t22)) % 84.59/84.83 (step @p268 :rule refl :args (@t23)) % 84.59/84.83 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t24)) % 84.59/84.83 (step @p270 :rule refl :args (@t25)) % 84.59/84.83 (step @p271 :rule cong :premises (@p270 @p269) :args (@t26)) % 84.59/84.83 (step @p272 :rule cong :premises (@p271) :args (@t27)) % 84.59/84.83 (step @p273 :rule cong :premises (@p239 @p272) :args (@t28)) % 84.59/84.83 (step @p274 :rule cong :premises (@p273) :args (@t29)) % 84.59/84.83 (step @p275 :rule trans :premises (@p274 @p265)) % 84.59/84.83 (step @p276 :rule eq_resolve :premises (@p10 @p275)) % 84.59/84.83 (step @p277 :rule instantiate :premises (@p276) :args ((@list tptp.xT @t109))) % 84.59/84.83 (step @p278 :rule and_elim :premises (@p62) :args (1)) % 84.59/84.83 (step @p279 :rule cnf_or_pos :args (@t213)) % 84.59/84.83 (step @p280 :rule reordering :premises (@p279) :args ((or @t212 @t211 (not @t213)))) % 84.59/84.83 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p277) :args (@t211 @t214 (@list @t99 @t213))) % 84.59/84.83 (step @p282 :rule eq-symm :args (@t216 @t217)) % 84.59/84.83 (step @p283 :rule cong :premises (@p282) :args (@t218)) % 84.59/84.83 (step @p284 :rule refl :args (@t219)) % 84.59/84.83 (step @p285 :rule nary_cong :premises (@p284 @p283) :args (@t220)) % 84.59/84.83 (step @p286 :rule eq-symm :args (@t215 @t92)) % 84.59/84.83 (step @p287 :rule cong :premises (@p286 @p285) :args (@t221)) % 84.59/84.83 (step @p288 :rule refl :args (@t222)) % 84.59/84.83 (step @p289 :rule nary_cong :premises (@p80 @p288 @p287) :args (@t223)) % 84.59/84.83 (step @p290 :rule cong :premises (@p289) :args (@t225)) % 84.59/84.83 (step @p291 :rule quant-merge-prenex :args ((= (forall @t34 @t227) @t225))) % 84.59/84.83 (step @p292 :rule alpha_equiv :args (@t228 (@list @t215) @t128)) % 84.59/84.83 (step @p293 :rule refl :args (@t222)) % 84.59/84.83 (step @p294 :rule nary_cong :premises (@p86 @p293 @p292) :args (@t229)) % 84.59/84.83 (step @p295 :rule quant-miniscope-or :args ((= @t227 @t229))) % 84.59/84.83 (step @p296 :rule trans :premises (@p295 @p294)) % 84.59/84.83 (step @p297 :rule symm :premises (@p296)) % 84.59/84.83 (step @p298 :rule cong :premises (@p297) :args ((forall @t34 @t231))) % 84.59/84.83 (step @p299 :rule trans :premises (@p298 @p291)) % 84.59/84.83 (step @p300 :rule trans :premises (@p299 @p290)) % 84.59/84.83 (step @p301 :rule aci_norm :args ((= (or (or @t121 @t222) @t230) @t231))) % 84.59/84.83 (step @p302 :rule refl :args (@t230)) % 84.59/84.83 (step @p303 :rule bool-and-de-morgan :args (@t2 @t73 true)) % 84.59/84.83 (step @p304 :rule nary_cong :premises (@p303 @p302) :args ((or (not @t80) @t230))) % 84.59/84.83 (step @p305 :rule trans :premises (@p304 @p301)) % 84.59/84.83 (step @p306 :rule bool-impl-elim :args (@t80 @t230)) % 84.59/84.83 (step @p307 :rule trans :premises (@p306 @p305)) % 84.59/84.83 (step @p308 :rule cong :premises (@p307) :args ((forall @t34 (=> @t80 @t230)))) % 84.59/84.83 (step @p309 :rule trans :premises (@p308 @p300)) % 84.59/84.83 (step @p310 :rule eq-symm :args (@t86 @t5)) % 84.59/84.83 (step @p311 :rule refl :args (@t87)) % 84.59/84.83 (step @p312 :rule nary_cong :premises (@p311 @p310) :args (@t88)) % 84.59/84.83 (step @p313 :rule cong :premises (@p108 @p312) :args (@t89)) % 84.59/84.83 (step @p314 :rule cong :premises (@p313) :args (@t90)) % 84.59/84.83 (step @p315 :rule nary_cong :premises (@p111 @p314) :args (@t91)) % 84.59/84.83 (step @p316 :rule refl :args (@t93)) % 84.59/84.83 (step @p317 :rule cong :premises (@p316 @p315) :args (@t94)) % 84.59/84.83 (step @p318 :rule cong :premises (@p317) :args (@t95)) % 84.59/84.83 (step @p319 :rule refl :args (@t80)) % 84.59/84.83 (step @p320 :rule cong :premises (@p319 @p318) :args (@t96)) % 84.59/84.83 (step @p321 :rule cong :premises (@p320) :args (@t97)) % 84.59/84.83 (step @p322 :rule trans :premises (@p321 @p309)) % 84.59/84.83 (step @p323 :rule eq_resolve :premises (@p57 @p322)) % 84.59/84.83 (step @p324 :rule bool-eq-true :args (@t238)) % 84.59/84.83 (step @p325 :rule eq-symm :args (true @t238)) % 84.59/84.83 (step @p326 :rule trans :premises (@p325 @p324)) % 84.59/84.83 (step @p327 :rule eq-symm :args (@t233 @t235)) % 84.59/84.83 (step @p328 :rule refl :args (@t235)) % 84.59/84.83 (step @p329 :rule eq-symm :args (@t105 @t86)) % 84.59/84.83 (step @p330 :rule refl :args (@t232)) % 84.59/84.83 (step @p331 :rule nary_cong :premises (@p330 @p329) :args (@t239)) % 84.59/84.83 (step @p332 :rule cong :premises (@p331 @p328) :args (@t240)) % 84.59/84.83 (step @p333 :rule trans :premises (@p332 @p327)) % 84.59/84.83 (step @p334 :rule cong :premises (@p333) :args (@t241)) % 84.59/84.83 (step @p335 :rule refl :args (@t237)) % 84.59/84.83 (step @p336 :rule nary_cong :premises (@p335 @p334) :args (@t242)) % 84.59/84.83 (step @p337 :rule eq-refl :args (@t234)) % 84.59/84.83 (step @p338 :rule cong :premises (@p337 @p336) :args (@t243)) % 84.59/84.83 (step @p339 :rule trans :premises (@p338 @p326)) % 84.59/84.83 (step @p340 :rule refl :args (@t245)) % 84.59/84.83 (step @p341 :rule refl :args (@t212)) % 84.59/84.83 (step @p342 :rule nary_cong :premises (@p341 @p340 @p339) :args (@t246)) % 84.59/84.83 (step @p343 :rule refl :args (@t247)) % 84.59/84.83 (step @p344 :rule cong :premises (@p343 @p342) :args ((=> @t247 @t246))) % 84.59/84.83 (assume-push @p448 @t247) % 84.59/84.83 (step @p346 :rule instantiate :premises (@p323) :args ((@list tptp.xT @t105 @t234))) % 84.59/84.83 (step-pop @p449 :rule scope :premises (@p346)) % 84.59/84.83 (step @p347 :rule process_scope :premises (@p449) :args (@t246)) % 84.59/84.83 (step @p349 :rule eq_resolve :premises (@p347 @p344)) % 84.59/84.83 (step @p350 :rule implies_elim :premises (@p349)) % 84.59/84.83 (step @p351 :rule chain_m_resolution :premises (@p350 @p323) :args (@t248 @t153 (@list @t247))) % 84.59/84.83 (step @p352 :rule refl :args (tptp.szNzAzT0)) % 84.59/84.83 (step @p353 :rule and_elim :premises (@p66) :args (2)) % 84.59/84.83 (step @p354 :rule symm :premises (@p353)) % 84.59/84.83 (step @p355 :rule cong :premises (@p354 @p352) :args (@t98)) % 84.59/84.83 (step @p356 :rule eq_resolve :premises (@p61 @p355)) % 84.59/84.83 (step @p357 :rule cnf_or_pos :args (@t248)) % 84.59/84.83 (step @p358 :rule reordering :premises (@p357) :args ((or @t245 @t212 @t238 (not @t248)))) % 84.59/84.83 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p278 @p351) :args (@t238 @t184 (@list @t244 @t99 @t248))) % 84.59/84.83 (step @p360 :rule cnf_and_pos :args (@t238 1)) % 84.59/84.83 (step @p361 :rule reordering :premises (@p360) :args ((or @t236 @t249))) % 84.59/84.83 (step @p362 :rule chain_m_resolution :premises (@p361 @p359) :args (@t236 @t153 @t250)) % 84.59/84.83 (step @p363 :rule eq-symm :args (@t251 @t105)) % 84.59/84.83 (step @p364 :rule refl :args (@t210)) % 84.59/84.83 (step @p365 :rule nary_cong :premises (@p364 @p363) :args (@t252)) % 84.59/84.83 (step @p366 :rule refl :args (@t253)) % 84.59/84.83 (step @p367 :rule cong :premises (@p366 @p365) :args (@t254)) % 84.59/84.83 (step @p368 :rule refl :args (@t236)) % 84.59/84.83 (step @p369 :rule cong :premises (@p368 @p367) :args ((=> @t236 @t254))) % 84.59/84.83 (assume-push @p450 @t236) % 84.59/84.83 (step @p371 :rule instantiate :premises (@p362) :args (@t255)) % 84.59/84.83 (step-pop @p451 :rule scope :premises (@p371)) % 84.59/84.83 (step @p372 :rule process_scope :premises (@p451) :args (@t254)) % 84.59/84.83 (step @p374 :rule eq_resolve :premises (@p372 @p369)) % 84.59/84.83 (step @p375 :rule implies_elim :premises (@p374)) % 84.59/84.83 (step @p376 :rule chain_m_resolution :premises (@p375 @p362) :args (@t257 @t153 (@list @t236))) % 84.59/84.83 (step @p377 :rule instantiate :premises (@p276) :args ((@list @t234 @t258))) % 84.59/84.83 (step @p378 :rule cnf_and_pos :args (@t238 0)) % 84.59/84.83 (step @p379 :rule reordering :premises (@p378) :args ((or @t237 @t249))) % 84.59/84.83 (step @p380 :rule chain_m_resolution :premises (@p379 @p359) :args (@t237 @t153 @t250)) % 84.59/84.83 (step @p381 :rule cnf_or_pos :args (@t264)) % 84.59/84.83 (step @p382 :rule reordering :premises (@p381) :args ((or @t263 @t262 (not @t264)))) % 84.59/84.83 (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p377) :args (@t262 @t214 (@list @t237 @t264))) % 84.59/84.83 (step @p384 :rule refl :args (tptp.xT)) % 84.59/84.83 (step @p385 :rule cong :premises (@p384 @p354) :args (@t102)) % 84.59/84.83 (step @p386 :rule refl :args (tptp.xS)) % 84.59/84.83 (step @p387 :rule cong :premises (@p386 @p354) :args (@t101)) % 84.59/84.83 (step @p388 :rule cong :premises (@p387 @p385) :args (@t103)) % 84.59/84.83 (step @p389 :rule and_elim :premises (@p63) :args (0)) % 84.59/84.83 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 84.59/84.83 (step @p391 :rule cnf_equiv_pos1 :args (@t262)) % 84.59/84.83 (step @p392 :rule reordering :premises (@p391) :args ((or (not @t261) @t260 (not @t262)))) % 84.59/84.83 (step @p393 :rule chain_m_resolution :premises (@p392 @p390 @p383) :args (@t260 @t214 (@list @t261 @t262))) % 84.59/84.83 (step @p394 :rule cnf_and_pos :args (@t260 1)) % 84.59/84.83 (step @p395 :rule reordering :premises (@p394) :args ((or @t259 (not @t260)))) % 84.59/84.83 (step @p396 :rule chain_m_resolution :premises (@p395 @p393) :args (@t259 @t153 (@list @t260))) % 84.59/84.83 (step @p397 :rule instantiate :premises (@p396) :args (@t255)) % 84.59/84.83 (step @p398 :rule cong :premises (@p69 @p387) :args (@t110)) % 84.59/84.83 (step @p399 :rule eq_resolve :premises (@p70 @p398)) % 84.59/84.83 (step @p400 :rule cnf_or_pos :args (@t267)) % 84.59/84.83 (step @p401 :rule reordering :premises (@p400) :args ((or @t266 @t253 (not @t267)))) % 84.59/84.83 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p397) :args (@t253 @t214 (@list @t265 @t267))) % 84.59/84.83 (step @p403 :rule cnf_equiv_pos1 :args (@t257)) % 84.59/84.83 (step @p404 :rule reordering :premises (@p403) :args ((or @t256 (not @t253) (not @t257)))) % 84.59/84.83 (step @p405 :rule chain_m_resolution :premises (@p404 @p402 @p376) :args (@t256 @t214 (@list @t253 @t257))) % 84.59/84.83 (step @p406 :rule cnf_and_pos :args (@t256 0)) % 84.59/84.83 (step @p407 :rule reordering :premises (@p406) :args ((or @t210 (not @t256)))) % 84.59/84.83 (step @p408 :rule chain_m_resolution :premises (@p407 @p405) :args (@t210 @t153 (@list @t256))) % 84.59/84.83 (step @p409 :rule cnf_equiv_pos1 :args (@t211)) % 84.59/84.83 (step @p410 :rule reordering :premises (@p409) :args ((or (not @t210) @t209 (not @t211)))) % 84.59/84.83 (step @p411 :rule chain_m_resolution :premises (@p410 @p408 @p281) :args (@t209 @t214 (@list @t210 @t211))) % 84.59/84.83 (step @p412 :rule cnf_and_pos :args (@t209 1)) % 84.59/84.83 (step @p413 :rule reordering :premises (@p412) :args ((or @t208 (not @t209)))) % 84.59/84.83 (step @p414 :rule chain_m_resolution :premises (@p413 @p411) :args (@t208 @t153 (@list @t209))) % 84.59/84.83 (step @p415 :rule instantiate :premises (@p414) :args (@t268)) % 84.59/84.83 (step @p416 :rule cnf_or_pos :args (@t271)) % 84.59/84.83 (step @p417 :rule reordering :premises (@p416) :args ((or @t111 @t270 (not @t271)))) % 84.59/84.83 (step @p418 :rule chain_m_resolution :premises (@p417 @p71 @p415) :args (@t270 @t272 (@list @t111 @t271))) % 84.59/84.83 (step @p419 :rule cnf_equiv_pos1 :args (@t273)) % 84.59/84.83 (step @p420 :rule reordering :premises (@p419) :args ((or @t147 @t269 @t274))) % 84.59/84.83 (step @p421 :rule chain_m_resolution :premises (@p420 @p248 @p418) :args (@t274 (@list false true) (@list @t146 @t269))) % 84.59/84.83 (step @p422 :rule eq-symm :args (@t269 @t146)) % 84.59/84.83 (step @p423 :rule aci_norm :args ((= (and @t146 true) @t146))) % 84.59/84.83 (step @p424 :rule absorb :args ((= (or @t275 true) true))) % 84.59/84.83 (step @p425 :rule eq-refl :args (tptp.xx)) % 84.59/84.83 (step @p426 :rule refl :args (@t275)) % 84.59/84.83 (step @p427 :rule nary_cong :premises (@p426 @p425) :args (@t276)) % 84.59/84.83 (step @p428 :rule trans :premises (@p427 @p424)) % 84.59/84.83 (step @p429 :rule refl :args (@t146)) % 84.59/84.83 (step @p430 :rule nary_cong :premises (@p429 @p428) :args (@t277)) % 84.59/84.83 (step @p431 :rule trans :premises (@p430 @p423)) % 84.59/84.83 (step @p432 :rule refl :args (@t269)) % 84.59/84.83 (step @p433 :rule cong :premises (@p432 @p431) :args (@t278)) % 84.59/84.83 (step @p434 :rule trans :premises (@p433 @p422)) % 84.59/84.83 (step @p435 :rule refl :args (@t137)) % 84.59/84.83 (step @p436 :rule cong :premises (@p435 @p434) :args ((=> @t137 @t278))) % 84.59/84.83 (assume-push @p452 @t137) % 84.59/84.83 (step @p438 :rule instantiate :premises (@p254) :args (@t268)) % 84.59/84.83 (step-pop @p453 :rule scope :premises (@p438)) % 84.59/84.83 (step @p439 :rule process_scope :premises (@p453) :args (@t278)) % 84.59/84.83 (step @p441 :rule eq_resolve :premises (@p439 @p436)) % 84.59/84.83 (step @p442 :rule implies_elim :premises (@p441)) % 84.59/84.83 (step @p443 false :rule chain_m_resolution :premises (@p442 @p421 @p254) :args (false @t272 (@list @t273 @t137))) % 84.59/84.83 ) % 84.59/84.83 % SZS output end Proof % 84.59/84.83 % cvc5 exiting %------------------------------------------------------------------------------