%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM580+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:39:54 AM UTC 2026 % Result : Theorem 98.15s 98.33s % Output : Proof 98.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM580+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n015.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 11:32:34 EDT 2026 % 0.16/0.33 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 98.15/98.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 98.15/98.33 --- Run --no-e-matching --full-saturate-quant at 6... % 98.15/98.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 98.15/98.33 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 98.15/98.33 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 98.15/98.33 --- Run --trigger-sel=max --full-saturate-quant at 15... % 98.15/98.33 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 98.15/98.33 % SZS status Theorem % 98.15/98.33 % SZS output start Proof % 98.15/98.33 ( % 98.15/98.33 (declare-sort $$unsorted 0) % 98.15/98.33 (declare-const tptp.xQ $$unsorted) % 98.15/98.33 (declare-const tptp.xN $$unsorted) % 98.15/98.33 (declare-const tptp.sz00 $$unsorted) % 98.15/98.33 (declare-const tptp.xc $$unsorted) % 98.15/98.33 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 98.15/98.33 (declare-const tptp.szNzAzT0 $$unsorted) % 98.15/98.33 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 98.15/98.33 (declare-const tptp.xk $$unsorted) % 98.15/98.33 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 98.15/98.33 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 98.15/98.33 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 98.15/98.33 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 98.15/98.33 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 98.15/98.33 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 98.15/98.33 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 98.15/98.33 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.xK $$unsorted) % 98.15/98.33 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.xT $$unsorted) % 98.15/98.33 (declare-const tptp.xi $$unsorted) % 98.15/98.33 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.xS $$unsorted) % 98.15/98.33 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.slcrc0 $$unsorted) % 98.15/98.33 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 98.15/98.33 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 98.15/98.33 (define @t1 () (@var "W0" $$unsorted)) % 98.15/98.33 (define @t2 () (tptp.aSet0 @t1)) % 98.15/98.33 (define @t3 () (@list @t1)) % 98.15/98.33 (define @t4 () (tptp.aElement0 @t1)) % 98.15/98.33 (define @t5 () (@var "W1" $$unsorted)) % 98.15/98.33 (define @t6 () (tptp.aElement0 @t5)) % 98.15/98.33 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 98.15/98.33 (define @t8 () (@list @t5)) % 98.15/98.33 (define @t9 () (forall @t8 (=> @t7 @t6))) % 98.15/98.33 (define @t10 () (=> @t2 @t9)) % 98.15/98.33 (define @t11 () (forall @t3 @t10)) % 98.15/98.33 (define @t12 () (tptp.isFinite0 @t1)) % 98.15/98.33 (define @t13 () (= @t1 tptp.slcrc0)) % 98.15/98.33 (define @t14 () (tptp.isFinite0 tptp.slcrc0)) % 98.15/98.33 (define @t15 () (tptp.isCountable0 @t1)) % 98.15/98.33 (define @t16 () (not @t12)) % 98.15/98.33 (define @t17 () (and @t2 @t15)) % 98.15/98.33 (define @t18 () (forall @t3 (=> @t17 @t16))) % 98.15/98.33 (define @t19 () (not @t13)) % 98.15/98.33 (define @t20 () (@var "W2" $$unsorted)) % 98.15/98.33 (define @t21 () (tptp.aElementOf0 @t20 @t1)) % 98.15/98.33 (define @t22 () (tptp.aElementOf0 @t20 @t5)) % 98.15/98.33 (define @t23 () (@list @t20)) % 98.15/98.33 (define @t24 () (forall @t23 (=> @t22 @t21))) % 98.15/98.33 (define @t25 () (tptp.aSet0 @t5)) % 98.15/98.33 (define @t26 () (and @t25 @t24)) % 98.15/98.33 (define @t27 () (tptp.aSubsetOf0 @t5 @t1)) % 98.15/98.33 (define @t28 () (= @t27 @t26)) % 98.15/98.33 (define @t29 () (forall @t8 @t28)) % 98.15/98.33 (define @t30 () (=> @t2 @t29)) % 98.15/98.33 (define @t31 () (forall @t3 @t30)) % 98.15/98.33 (define @t32 () (tptp.isFinite0 @t5)) % 98.15/98.33 (define @t33 () (and @t2 @t12)) % 98.15/98.33 (define @t34 () (= @t1 @t5)) % 98.15/98.33 (define @t35 () (tptp.aSubsetOf0 @t1 @t5)) % 98.15/98.33 (define @t36 () (@list @t1 @t5)) % 98.15/98.33 (define @t37 () (tptp.aSubsetOf0 @t5 @t20)) % 98.15/98.33 (define @t38 () (tptp.aSet0 @t20)) % 98.15/98.33 (define @t39 () (@list @t1 @t5 @t20)) % 98.15/98.33 (define @t40 () (@var "W3" $$unsorted)) % 98.15/98.33 (define @t41 () (= @t40 @t5)) % 98.15/98.33 (define @t42 () (tptp.aElementOf0 @t40 @t1)) % 98.15/98.33 (define @t43 () (tptp.aElement0 @t40)) % 98.15/98.33 (define @t44 () (tptp.aElementOf0 @t40 @t20)) % 98.15/98.33 (define @t45 () (@list @t40)) % 98.15/98.33 (define @t46 () (tptp.sdtpldt0 @t1 @t5)) % 98.15/98.33 (define @t47 () (and @t2 @t6)) % 98.15/98.33 (define @t48 () (not @t41)) % 98.15/98.33 (define @t49 () (and @t43 @t42 @t48)) % 98.15/98.33 (define @t50 () (= @t44 @t49)) % 98.15/98.33 (define @t51 () (forall @t45 @t50)) % 98.15/98.33 (define @t52 () (and @t38 @t51)) % 98.15/98.33 (define @t53 () (tptp.sdtmndt0 @t1 @t5)) % 98.15/98.33 (define @t54 () (= @t20 @t53)) % 98.15/98.33 (define @t55 () (= @t54 @t52)) % 98.15/98.33 (define @t56 () (forall @t23 @t55)) % 98.15/98.33 (define @t57 () (=> @t47 @t56)) % 98.15/98.33 (define @t58 () (forall @t36 @t57)) % 98.15/98.33 (define @t59 () (tptp.sdtpldt0 @t5 @t1)) % 98.15/98.33 (define @t60 () (tptp.isCountable0 @t5)) % 98.15/98.33 (define @t61 () (and @t25 @t60)) % 98.15/98.33 (define @t62 () (tptp.sdtmndt0 @t5 @t1)) % 98.15/98.33 (define @t63 () (and @t25 @t32)) % 98.15/98.33 (define @t64 () (tptp.aSet0 tptp.szNzAzT0)) % 98.15/98.33 (define @t65 () (tptp.szszuzczcdt0 @t1)) % 98.15/98.33 (define @t66 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 98.15/98.33 (define @t67 () (tptp.szszuzczcdt0 @t5)) % 98.15/98.33 (define @t68 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 98.15/98.33 (define @t69 () (and @t66 @t68)) % 98.15/98.33 (define @t70 () (= @t1 tptp.sz00)) % 98.15/98.33 (define @t71 () (tptp.sdtlseqdt0 @t1 @t5)) % 98.15/98.33 (define @t72 () (tptp.sdtlseqdt0 @t5 @t1)) % 98.15/98.33 (define @t73 () (tptp.sdtlseqdt0 @t5 @t20)) % 98.15/98.33 (define @t74 () (tptp.aElementOf0 @t20 tptp.szNzAzT0)) % 98.15/98.33 (define @t75 () (tptp.sbrdtbr0 @t1)) % 98.15/98.33 (define @t76 () (tptp.aElementOf0 @t75 tptp.szNzAzT0)) % 98.15/98.33 (define @t77 () (=> @t2 (= @t76 @t12))) % 98.15/98.33 (define @t78 () (forall @t3 @t77)) % 98.15/98.33 (define @t79 () (tptp.szszuzczcdt0 @t75)) % 98.15/98.33 (define @t80 () (= (tptp.sbrdtbr0 @t46) @t79)) % 98.15/98.33 (define @t81 () (not @t7)) % 98.15/98.33 (define @t82 () (=> @t81 @t80)) % 98.15/98.33 (define @t83 () (forall @t8 (=> @t6 @t82))) % 98.15/98.33 (define @t84 () (=> @t33 @t83)) % 98.15/98.33 (define @t85 () (forall @t3 @t84)) % 98.15/98.33 (define @t86 () (and @t2 @t68)) % 98.15/98.33 (define @t87 () (forall @t23 (=> @t21 @t73))) % 98.15/98.33 (define @t88 () (and @t7 @t87)) % 98.15/98.33 (define @t89 () (tptp.szmzizndt0 @t1)) % 98.15/98.33 (define @t90 () (= @t5 @t89)) % 98.15/98.33 (define @t91 () (= @t90 @t88)) % 98.15/98.33 (define @t92 () (forall @t8 @t91)) % 98.15/98.33 (define @t93 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 98.15/98.33 (define @t94 () (and @t93 @t19)) % 98.15/98.33 (define @t95 () (=> @t94 @t92)) % 98.15/98.33 (define @t96 () (forall @t3 @t95)) % 98.15/98.33 (define @t97 () (tptp.szmzizndt0 @t5)) % 98.15/98.33 (define @t98 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 98.15/98.33 (define @t99 () (tptp.slbdtrb0 @t1)) % 98.15/98.33 (define @t100 () (tptp.slbdtrb0 tptp.sz00)) % 98.15/98.33 (define @t101 () (tptp.slbdtrb0 @t5)) % 98.15/98.33 (define @t102 () (tptp.sbrdtbr0 @t40)) % 98.15/98.33 (define @t103 () (tptp.aSubsetOf0 @t40 @t1)) % 98.15/98.33 (define @t104 () (and @t103 (= @t102 @t5))) % 98.15/98.33 (define @t105 () (= @t44 @t104)) % 98.15/98.33 (define @t106 () (forall @t45 @t105)) % 98.15/98.33 (define @t107 () (and @t38 @t106)) % 98.15/98.33 (define @t108 () (tptp.slbdtsldtrb0 @t1 @t5)) % 98.15/98.33 (define @t109 () (= @t20 @t108)) % 98.15/98.33 (define @t110 () (= @t109 @t107)) % 98.15/98.33 (define @t111 () (forall @t23 @t110)) % 98.15/98.33 (define @t112 () (=> @t86 @t111)) % 98.15/98.33 (define @t113 () (forall @t36 @t112)) % 98.15/98.33 (define @t114 () (tptp.slbdtsldtrb0 @t5 @t1)) % 98.15/98.33 (define @t115 () (tptp.aFunction0 @t1)) % 98.15/98.33 (define @t116 () (tptp.szDzozmdt0 @t1)) % 98.15/98.33 (define @t117 () (tptp.sdtlpdtrp0 @t1 @t5)) % 98.15/98.33 (define @t118 () (tptp.aElementOf0 @t5 @t116)) % 98.15/98.33 (define @t119 () (tptp.sdtlpdtrp0 @t1 @t40)) % 98.15/98.33 (define @t120 () (tptp.aElementOf0 @t40 @t116)) % 98.15/98.33 (define @t121 () (tptp.sdtlbdtrb0 @t1 @t5)) % 98.15/98.33 (define @t122 () (and @t115 @t6)) % 98.15/98.33 (define @t123 () (@var "W4" $$unsorted)) % 98.15/98.33 (define @t124 () (@list @t123)) % 98.15/98.33 (define @t125 () (tptp.sdtlcdtrc0 @t1 @t5)) % 98.15/98.33 (define @t126 () (tptp.aSubsetOf0 @t5 @t116)) % 98.15/98.33 (define @t127 () (tptp.sdtlcdtrc0 @t1 @t116)) % 98.15/98.33 (define @t128 () (tptp.szDzozmdt0 @t20)) % 98.15/98.33 (define @t129 () (tptp.aFunction0 @t20)) % 98.15/98.33 (define @t130 () (tptp.szDzizrdt0 @t1)) % 98.15/98.33 (define @t131 () (tptp.szDzozmdt0 tptp.xc)) % 98.15/98.33 (define @t132 () (@var "W5" $$unsorted)) % 98.15/98.33 (define @t133 () (tptp.szszuzczcdt0 tptp.xk)) % 98.15/98.33 (define @t134 () (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 98.15/98.33 (define @t135 () (tptp.sdtlpdtrp0 tptp.xN @t65)) % 98.15/98.33 (define @t136 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 98.15/98.33 (define @t137 () (tptp.szmzizndt0 @t136)) % 98.15/98.33 (define @t138 () (tptp.isCountable0 @t136)) % 98.15/98.33 (define @t139 () (tptp.aSubsetOf0 @t136 tptp.szNzAzT0)) % 98.15/98.33 (define @t140 () (and @t139 @t138)) % 98.15/98.33 (define @t141 () (tptp.szDzozmdt0 tptp.xN)) % 98.15/98.33 (define @t142 () (forall @t3 (=> @t66 @t140))) % 98.15/98.33 (define @t143 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 98.15/98.33 (define @t144 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 98.15/98.33 (define @t145 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 98.15/98.33 (define @t146 () (tptp.szmzizndt0 @t145)) % 98.15/98.33 (define @t147 () (tptp.sdtmndt0 @t145 @t146)) % 98.15/98.33 (define @t148 () (tptp.slbdtsldtrb0 @t147 tptp.xk)) % 98.15/98.33 (define @t149 () (tptp.aElementOf0 tptp.xQ @t148)) % 98.15/98.33 (define @t150 () (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ @t146))) % 98.15/98.33 (define @t151 () (not (= @t150 tptp.xK))) % 98.15/98.33 (define @t152 () (= tptp.xK @t150)) % 98.15/98.33 (define @t153 () (@var "BOUND_VARIABLE_8676" $$unsorted)) % 98.15/98.33 (define @t154 () (tptp.aElementOf0 @t40 @t153)) % 98.15/98.33 (define @t155 () (and @t103 (= @t5 @t102))) % 98.15/98.33 (define @t156 () (tptp.aSet0 @t153)) % 98.15/98.33 (define @t157 () (= (= @t108 @t153) (and @t156 (forall @t45 (= @t155 @t154))))) % 98.15/98.33 (define @t158 () (not @t68)) % 98.15/98.33 (define @t159 () (not @t2)) % 98.15/98.33 (define @t160 () (or @t159 @t158 @t157)) % 98.15/98.33 (define @t161 () (@list @t1 @t5 @t153)) % 98.15/98.33 (define @t162 () (forall @t45 (= @t154 @t155))) % 98.15/98.33 (define @t163 () (and @t156 @t162)) % 98.15/98.33 (define @t164 () (= (= @t153 @t108) @t163)) % 98.15/98.33 (define @t165 () (or @t159 @t158 @t164)) % 98.15/98.33 (define @t166 () (forall @t161 @t165)) % 98.15/98.33 (define @t167 () (@list @t153)) % 98.15/98.33 (define @t168 () (forall @t167 @t165)) % 98.15/98.33 (define @t169 () (forall @t167 @t164)) % 98.15/98.33 (define @t170 () (@list @t20)) % 98.15/98.33 (define @t171 () (or @t159 @t158 @t169)) % 98.15/98.33 (define @t172 () (forall @t23 (= @t109 (and @t38 (forall @t45 (= @t44 @t155)))))) % 98.15/98.33 (define @t173 () (or @t159 @t158 @t172)) % 98.15/98.33 (define @t174 () (tptp.aSubsetOf0 @t40 @t147)) % 98.15/98.33 (define @t175 () (tptp.aElementOf0 @t40 @t148)) % 98.15/98.33 (define @t176 () (forall @t45 (= @t175 (and @t174 (= @t102 tptp.xk))))) % 98.15/98.33 (define @t177 () (tptp.aSet0 @t148)) % 98.15/98.33 (define @t178 () (and @t177 @t176)) % 98.15/98.33 (define @t179 () (and @t174 (= tptp.xk @t102))) % 98.15/98.33 (define @t180 () (forall @t45 (= @t179 @t175))) % 98.15/98.33 (define @t181 () (and @t177 @t180)) % 98.15/98.33 (define @t182 () (= (= @t148 @t148) @t181)) % 98.15/98.33 (define @t183 () (tptp.aElementOf0 tptp.xk @t141)) % 98.15/98.33 (define @t184 () (not @t183)) % 98.15/98.33 (define @t185 () (tptp.aSet0 @t147)) % 98.15/98.33 (define @t186 () (not @t185)) % 98.15/98.33 (define @t187 () (or @t186 @t184 @t182)) % 98.15/98.33 (define @t188 () (forall @t161 (or @t159 (not (tptp.aElementOf0 @t5 @t141)) @t157))) % 98.15/98.33 (define @t189 () (or @t186 @t184 @t178)) % 98.15/98.33 (define @t190 () (@list false)) % 98.15/98.33 (define @t191 () (@var "BOUND_VARIABLE_8204" $$unsorted)) % 98.15/98.33 (define @t192 () (tptp.aElementOf0 @t40 @t191)) % 98.15/98.33 (define @t193 () (and @t43 @t42 (not (= @t5 @t40)))) % 98.15/98.33 (define @t194 () (forall @t45 (= @t192 @t193))) % 98.15/98.33 (define @t195 () (tptp.aSet0 @t191)) % 98.15/98.33 (define @t196 () (and @t195 @t194)) % 98.15/98.33 (define @t197 () (= (= @t191 @t53) @t196)) % 98.15/98.33 (define @t198 () (not @t6)) % 98.15/98.33 (define @t199 () (or @t159 @t198 @t197)) % 98.15/98.33 (define @t200 () (@list @t1 @t5 @t191)) % 98.15/98.33 (define @t201 () (forall @t200 @t199)) % 98.15/98.33 (define @t202 () (@list @t191)) % 98.15/98.33 (define @t203 () (forall @t202 @t199)) % 98.15/98.33 (define @t204 () (forall @t202 @t197)) % 98.15/98.33 (define @t205 () (or @t159 @t198 @t204)) % 98.15/98.33 (define @t206 () (forall @t23 (= @t54 (and @t38 (forall @t45 (= @t44 @t193)))))) % 98.15/98.33 (define @t207 () (or @t159 @t198 @t206)) % 98.15/98.33 (define @t208 () (tptp.aElementOf0 @t40 @t145)) % 98.15/98.33 (define @t209 () (and @t43 @t208 (not (= @t40 @t146)))) % 98.15/98.33 (define @t210 () (tptp.aElementOf0 @t40 @t147)) % 98.15/98.33 (define @t211 () (forall @t45 (= @t210 @t209))) % 98.15/98.33 (define @t212 () (and @t185 @t211)) % 98.15/98.33 (define @t213 () (not (= @t146 @t40))) % 98.15/98.33 (define @t214 () (and @t43 @t208 @t213)) % 98.15/98.33 (define @t215 () (= @t214 @t210)) % 98.15/98.33 (define @t216 () (forall @t45 @t215)) % 98.15/98.33 (define @t217 () (and @t185 @t216)) % 98.15/98.33 (define @t218 () (= (= @t147 @t147) @t217)) % 98.15/98.33 (define @t219 () (tptp.aElement0 @t146)) % 98.15/98.33 (define @t220 () (not @t219)) % 98.15/98.33 (define @t221 () (tptp.aSet0 @t145)) % 98.15/98.33 (define @t222 () (not @t221)) % 98.15/98.33 (define @t223 () (or @t222 @t220 @t218)) % 98.15/98.33 (define @t224 () (forall @t200 (or @t159 @t198 (= (= @t53 @t191) (and @t195 (forall @t45 (= @t193 @t192))))))) % 98.15/98.33 (define @t225 () (or @t222 @t220 @t212)) % 98.15/98.33 (define @t226 () (@var "BOUND_VARIABLE_8051" $$unsorted)) % 98.15/98.33 (define @t227 () (tptp.aElement0 @t226)) % 98.15/98.33 (define @t228 () (not (tptp.aElementOf0 @t226 @t1))) % 98.15/98.33 (define @t229 () (or @t228 @t227)) % 98.15/98.33 (define @t230 () (or @t159 @t229)) % 98.15/98.33 (define @t231 () (forall (@list @t1 @t226) @t230)) % 98.15/98.33 (define @t232 () (@list @t226)) % 98.15/98.33 (define @t233 () (forall @t232 @t230)) % 98.15/98.33 (define @t234 () (forall @t232 @t229)) % 98.15/98.33 (define @t235 () (@list @t5)) % 98.15/98.33 (define @t236 () (or @t159 @t234)) % 98.15/98.33 (define @t237 () (forall @t8 (or @t81 @t6))) % 98.15/98.33 (define @t238 () (@list @t145 @t146)) % 98.15/98.33 (define @t239 () (@var "BOUND_VARIABLE_8554" $$unsorted)) % 98.15/98.33 (define @t240 () (= @t89 @t239)) % 98.15/98.33 (define @t241 () (not @t21)) % 98.15/98.33 (define @t242 () (and (tptp.aElementOf0 @t239 @t1) (forall @t23 (or @t241 (tptp.sdtlseqdt0 @t239 @t20))))) % 98.15/98.33 (define @t243 () (= @t242 @t240)) % 98.15/98.33 (define @t244 () (not @t93)) % 98.15/98.33 (define @t245 () (or @t244 @t13 @t243)) % 98.15/98.33 (define @t246 () (@list @t1 @t239)) % 98.15/98.33 (define @t247 () (= (= @t239 @t89) @t242)) % 98.15/98.33 (define @t248 () (or @t244 @t13 @t247)) % 98.15/98.33 (define @t249 () (forall @t246 @t248)) % 98.15/98.33 (define @t250 () (@list @t239)) % 98.15/98.33 (define @t251 () (forall @t250 @t248)) % 98.15/98.33 (define @t252 () (forall @t250 @t247)) % 98.15/98.33 (define @t253 () (or @t244 @t13 @t252)) % 98.15/98.33 (define @t254 () (forall @t8 (= @t90 (and @t7 (forall @t23 (or @t241 @t73)))))) % 98.15/98.33 (define @t255 () (or @t244 @t13 @t254)) % 98.15/98.33 (define @t256 () (not (tptp.aElementOf0 @t20 @t145))) % 98.15/98.33 (define @t257 () (tptp.aElementOf0 @t146 @t145)) % 98.15/98.33 (define @t258 () (and @t257 (forall @t23 (or @t256 (tptp.sdtlseqdt0 @t146 @t20))))) % 98.15/98.33 (define @t259 () (= @t146 @t146)) % 98.15/98.33 (define @t260 () (= @t258 @t259)) % 98.15/98.33 (define @t261 () (tptp.aSubsetOf0 @t145 @t141)) % 98.15/98.33 (define @t262 () (not @t261)) % 98.15/98.33 (define @t263 () (or @t262 (= @t145 @t100) @t260)) % 98.15/98.33 (define @t264 () (forall @t246 (or (not (tptp.aSubsetOf0 @t1 @t141)) (= @t1 @t100) @t243))) % 98.15/98.33 (define @t265 () (= @t100 @t145)) % 98.15/98.33 (define @t266 () (or @t262 @t265 @t258)) % 98.15/98.33 (define @t267 () (not @t15)) % 98.15/98.33 (define @t268 () (not @t66)) % 98.15/98.33 (define @t269 () (or @t268 @t140)) % 98.15/98.33 (define @t270 () (tptp.isCountable0 @t145)) % 98.15/98.33 (define @t271 () (and @t261 @t270)) % 98.15/98.33 (define @t272 () (tptp.aElementOf0 tptp.xi @t141)) % 98.15/98.33 (define @t273 () (not @t272)) % 98.15/98.33 (define @t274 () (or @t273 @t271)) % 98.15/98.33 (define @t275 () (@list false false)) % 98.15/98.33 (define @t276 () (not @t271)) % 98.15/98.33 (define @t277 () (@list @t271)) % 98.15/98.33 (define @t278 () (@var "BOUND_VARIABLE_8100" $$unsorted)) % 98.15/98.33 (define @t279 () (= (tptp.aSubsetOf0 @t278 @t1) (and (tptp.aSet0 @t278) (forall @t23 (or (not (tptp.aElementOf0 @t20 @t278)) @t21))))) % 98.15/98.33 (define @t280 () (or @t159 @t279)) % 98.15/98.33 (define @t281 () (@list @t278)) % 98.15/98.33 (define @t282 () (forall @t281 @t280)) % 98.15/98.33 (define @t283 () (forall @t281 @t279)) % 98.15/98.33 (define @t284 () (or @t159 @t283)) % 98.15/98.33 (define @t285 () (forall @t8 (= @t27 (and @t25 (forall @t23 (or (not @t22) @t21)))))) % 98.15/98.33 (define @t286 () (and @t221 (forall @t23 (or @t256 (tptp.aElementOf0 @t20 @t141))))) % 98.15/98.33 (define @t287 () (= @t261 @t286)) % 98.15/98.33 (define @t288 () (tptp.aSet0 @t141)) % 98.15/98.33 (define @t289 () (not @t288)) % 98.15/98.33 (define @t290 () (or @t289 @t287)) % 98.15/98.33 (define @t291 () (tptp.isFinite0 @t145)) % 98.15/98.33 (define @t292 () (not @t291)) % 98.15/98.33 (define @t293 () (not @t270)) % 98.15/98.33 (define @t294 () (or @t222 @t293 @t292)) % 98.15/98.33 (define @t295 () (@list false false false)) % 98.15/98.33 (define @t296 () (not @t265)) % 98.15/98.33 (define @t297 () (tptp.isFinite0 @t100)) % 98.15/98.33 (define @t298 () (not @t297)) % 98.15/98.33 (define @t299 () (and @t297 @t265 @t292)) % 98.15/98.33 (define @t300 () (not @t257)) % 98.15/98.33 (define @t301 () (or @t222 @t300 @t219)) % 98.15/98.33 (define @t302 () (not @t212)) % 98.15/98.33 (define @t303 () (@list @t212)) % 98.15/98.33 (define @t304 () (tptp.sbrdtbr0 tptp.xQ)) % 98.15/98.33 (define @t305 () (tptp.aSubsetOf0 tptp.xQ @t147)) % 98.15/98.33 (define @t306 () (and @t305 (= @t304 tptp.xk))) % 98.15/98.33 (define @t307 () (= @t149 @t306)) % 98.15/98.33 (define @t308 () (@list tptp.xQ)) % 98.15/98.33 (define @t309 () (= tptp.xk @t304)) % 98.15/98.33 (define @t310 () (and @t305 @t309)) % 98.15/98.33 (define @t311 () (= @t149 @t310)) % 98.15/98.33 (define @t312 () (not @t310)) % 98.15/98.33 (define @t313 () (@list @t310)) % 98.15/98.33 (define @t314 () (@var "BOUND_VARIABLE_8448" $$unsorted)) % 98.15/98.33 (define @t315 () (tptp.sbrdtbr0 (tptp.sdtpldt0 @t1 @t314))) % 98.15/98.33 (define @t316 () (tptp.aElementOf0 @t314 @t1)) % 98.15/98.33 (define @t317 () (not (tptp.aElement0 @t314))) % 98.15/98.33 (define @t318 () (= @t315 @t79)) % 98.15/98.33 (define @t319 () (or @t159 @t16 @t317 @t316 @t318)) % 98.15/98.33 (define @t320 () (or @t317 @t316 @t318)) % 98.15/98.33 (define @t321 () (or @t159 @t16 @t320)) % 98.15/98.33 (define @t322 () (@list @t1 @t314)) % 98.15/98.33 (define @t323 () (forall @t322 @t321)) % 98.15/98.33 (define @t324 () (@list @t314)) % 98.15/98.33 (define @t325 () (forall @t324 @t321)) % 98.15/98.33 (define @t326 () (forall @t324 @t320)) % 98.15/98.33 (define @t327 () (or @t159 @t16 @t326)) % 98.15/98.33 (define @t328 () (or @t198 @t7 @t80)) % 98.15/98.33 (define @t329 () (forall @t8 @t328)) % 98.15/98.33 (define @t330 () (or @t159 @t16 @t329)) % 98.15/98.33 (define @t331 () (tptp.szszuzczcdt0 @t304)) % 98.15/98.33 (define @t332 () (tptp.aElementOf0 @t146 tptp.xQ)) % 98.15/98.33 (define @t333 () (tptp.isFinite0 tptp.xQ)) % 98.15/98.33 (define @t334 () (not @t333)) % 98.15/98.33 (define @t335 () (tptp.aSet0 tptp.xQ)) % 98.15/98.33 (define @t336 () (not @t335)) % 98.15/98.33 (define @t337 () (or @t336 @t334 @t220 @t332 (= @t331 @t150))) % 98.15/98.33 (define @t338 () (forall @t322 (or @t159 @t16 @t317 @t316 (= @t79 @t315)))) % 98.15/98.33 (define @t339 () (= @t150 @t331)) % 98.15/98.33 (define @t340 () (or @t336 @t334 @t220 @t332 @t339)) % 98.15/98.33 (define @t341 () (= @t12 @t76)) % 98.15/98.33 (define @t342 () (or @t159 @t341)) % 98.15/98.33 (define @t343 () (forall @t23 (or (not (tptp.aElementOf0 @t20 tptp.xQ)) (tptp.aElementOf0 @t20 @t147)))) % 98.15/98.33 (define @t344 () (and @t335 @t343)) % 98.15/98.33 (define @t345 () (= @t305 @t344)) % 98.15/98.33 (define @t346 () (or @t186 @t345)) % 98.15/98.33 (define @t347 () (not @t344)) % 98.15/98.33 (define @t348 () (@list @t344)) % 98.15/98.33 (define @t349 () (tptp.aElementOf0 @t304 @t141)) % 98.15/98.33 (define @t350 () (= @t333 @t349)) % 98.15/98.33 (define @t351 () (or @t336 @t350)) % 98.15/98.33 (define @t352 () (and @t183 @t309)) % 98.15/98.33 (define @t353 () (@list @t146)) % 98.15/98.33 (define @t354 () (tptp.aElementOf0 @t146 @t147)) % 98.15/98.33 (define @t355 () (not @t332)) % 98.15/98.33 (define @t356 () (or @t355 @t354)) % 98.15/98.33 (define @t357 () (not @t259)) % 98.15/98.33 (define @t358 () (and @t219 @t257 @t357)) % 98.15/98.33 (define @t359 () (= @t354 @t358)) % 98.15/98.33 (define @t360 () (= @t133 @t150)) % 98.15/98.33 (define @t361 () (and @t339 @t309)) % 98.15/98.33 (assume @p1 (forall @t3 (=> @t2 true))) % 98.15/98.33 (assume @p2 (forall @t3 (=> @t4 true))) % 98.15/98.33 (assume @p3 @t11) % 98.15/98.33 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 98.15/98.33 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 98.15/98.33 (assume @p6 @t14) % 98.15/98.33 (assume @p7 (forall @t3 (=> @t2 (=> @t15 true)))) % 98.15/98.33 (assume @p8 @t18) % 98.15/98.33 (assume @p9 (forall @t3 (=> @t17 @t19))) % 98.15/98.33 (assume @p10 @t31) % 98.15/98.33 (assume @p11 (forall @t3 (=> @t33 (forall @t8 (=> @t27 @t32))))) % 98.15/98.33 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 98.15/98.33 (assume @p13 (forall @t36 (=> (and @t2 @t25) (=> (and @t35 @t27) @t34)))) % 98.15/98.33 (assume @p14 (forall @t39 (=> (and @t2 @t25 @t38) (=> (and @t35 @t37) (tptp.aSubsetOf0 @t1 @t20))))) % 98.15/98.33 (assume @p15 (forall @t36 (=> @t47 (forall @t23 (= (= @t20 @t46) (and @t38 (forall @t45 (= @t44 (and @t43 (or @t42 @t41)))))))))) % 98.15/98.33 (assume @p16 @t58) % 98.15/98.33 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t53 @t5) @t1)))))) % 98.15/98.33 (assume @p18 (forall @t36 (=> (and @t4 @t25) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t59 @t1) @t5))))) % 98.15/98.33 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t61 (tptp.isCountable0 @t59)))))) % 98.15/98.33 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t61 (tptp.isCountable0 @t62)))))) % 98.15/98.33 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t63 (tptp.isFinite0 @t59)))))) % 98.15/98.33 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t63 (tptp.isFinite0 @t62)))))) % 98.15/98.33 (assume @p23 (and @t64 (tptp.isCountable0 tptp.szNzAzT0))) % 98.15/98.33 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 98.15/98.33 (assume @p25 (forall @t3 (=> @t66 (and (tptp.aElementOf0 @t65 tptp.szNzAzT0) (not (= @t65 tptp.sz00)))))) % 98.15/98.33 (assume @p26 (forall @t36 (=> @t69 (=> (= @t65 @t67) @t34)))) % 98.15/98.33 (assume @p27 (forall @t3 (=> @t66 (or @t70 (exists @t8 (and @t68 (= @t1 @t67))))))) % 98.15/98.33 (assume @p28 (forall @t3 (=> @t66 (not (= @t1 @t65))))) % 98.15/98.33 (assume @p29 (forall @t36 (=> @t69 (=> @t71 true)))) % 98.15/98.33 (assume @p30 (forall @t3 (=> @t66 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 98.15/98.33 (assume @p31 (forall @t3 (=> @t66 (not (tptp.sdtlseqdt0 @t65 tptp.sz00))))) % 98.15/98.33 (assume @p32 (forall @t36 (=> @t69 (= @t71 (tptp.sdtlseqdt0 @t65 @t67))))) % 98.15/98.33 (assume @p33 (forall @t3 (=> @t66 (tptp.sdtlseqdt0 @t1 @t65)))) % 98.15/98.33 (assume @p34 (forall @t3 (=> @t66 (tptp.sdtlseqdt0 @t1 @t1)))) % 98.15/98.33 (assume @p35 (forall @t36 (=> @t69 (=> (and @t71 @t72) @t34)))) % 98.15/98.33 (assume @p36 (forall @t39 (=> (and @t66 @t68 @t74) (=> (and @t71 @t73) (tptp.sdtlseqdt0 @t1 @t20))))) % 98.15/98.33 (assume @p37 (forall @t36 (=> @t69 (or @t71 (tptp.sdtlseqdt0 @t67 @t1))))) % 98.15/98.33 (assume @p38 (forall @t36 (=> @t69 (=> (tptp.iLess0 @t1 @t5) true)))) % 98.15/98.33 (assume @p39 (forall @t3 (=> @t66 (tptp.iLess0 @t1 @t65)))) % 98.15/98.33 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t75)))) % 98.15/98.33 (assume @p41 @t78) % 98.15/98.33 (assume @p42 (forall @t3 (=> @t2 (= (= @t75 tptp.sz00) @t13)))) % 98.15/98.33 (assume @p43 @t85) % 98.15/98.33 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t53)) @t75)))))) % 98.15/98.33 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t27) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t75)))))) % 98.15/98.33 (assume @p46 (forall @t36 (=> @t86 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t75)) (exists @t23 (and (tptp.aSubsetOf0 @t20 @t1) (= (tptp.sbrdtbr0 @t20) @t5))))))) % 98.15/98.33 (assume @p47 @t96) % 98.15/98.33 (assume @p48 (forall @t3 (=> (and @t93 @t12 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t23 (=> @t21 (tptp.sdtlseqdt0 @t20 @t5))))))))) % 98.15/98.33 (assume @p49 (forall @t36 (=> (and @t93 @t98 @t19 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t89 @t5) (tptp.aElementOf0 @t97 @t1)) (= @t89 @t97))))) % 98.15/98.33 (assume @p50 (forall @t3 (=> @t66 (forall @t8 (= (= @t5 @t99) (and @t25 (forall @t23 (= @t22 (and @t74 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t20) @t1)))))))))) % 98.15/98.33 (assume @p51 (forall @t3 (=> @t66 (tptp.isFinite0 @t99)))) % 98.15/98.33 (assume @p52 (= @t100 tptp.slcrc0)) % 98.15/98.33 (assume @p53 (forall @t36 (=> @t69 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t67)) (or (tptp.aElementOf0 @t1 @t101) @t34))))) % 98.15/98.33 (assume @p54 (forall @t36 (=> @t69 (= @t71 (tptp.aSubsetOf0 @t99 @t101))))) % 98.15/98.33 (assume @p55 (forall @t3 (=> (and @t93 @t12) (exists @t8 (and @t68 (tptp.aSubsetOf0 @t1 @t101)))))) % 98.15/98.33 (assume @p56 (forall @t3 (=> @t66 (= (tptp.sbrdtbr0 @t99) @t1)))) % 98.15/98.33 (assume @p57 @t113) % 98.15/98.33 (assume @p58 (forall @t3 (=> @t33 (forall @t8 (=> @t68 (tptp.isFinite0 @t108)))))) % 98.15/98.33 (assume @p59 (forall @t3 (=> (and @t2 @t16) (forall @t8 (=> @t68 (not (= @t108 tptp.slcrc0))))))) % 98.15/98.33 (assume @p60 (forall @t3 (=> @t17 (forall @t8 (=> (and @t68 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t108)))))) % 98.15/98.33 (assume @p61 (forall @t3 (=> @t66 (forall (@list @t5 @t20) (=> (and @t25 @t38 (not @t70)) (=> (and (tptp.aSubsetOf0 @t114 (tptp.slbdtsldtrb0 @t20 @t1)) (not (= @t114 tptp.slcrc0))) @t37)))))) % 98.15/98.33 (assume @p62 (forall @t36 (=> @t86 (forall @t23 (=> (and (tptp.aSubsetOf0 @t20 @t108) (tptp.isFinite0 @t20)) (exists @t45 (and @t103 (tptp.isFinite0 @t40) (tptp.aSubsetOf0 @t20 (tptp.slbdtsldtrb0 @t40 @t5))))))))) % 98.15/98.33 (assume @p63 (forall @t3 (=> @t115 true))) % 98.15/98.33 (assume @p64 (forall @t3 (=> @t115 (tptp.aSet0 @t116)))) % 98.15/98.33 (assume @p65 (forall @t3 (=> @t115 (forall @t8 (=> @t118 (tptp.aElement0 @t117)))))) % 98.15/98.33 (assume @p66 (forall @t36 (=> @t122 (forall @t23 (= (= @t20 @t121) (and @t38 (forall @t45 (= @t44 (and @t120 (= @t119 @t5)))))))))) % 98.15/98.33 (assume @p67 (forall @t36 (=> @t122 (tptp.aSubsetOf0 @t121 @t116)))) % 98.15/98.33 (assume @p68 (forall @t3 (=> @t115 (forall @t8 (=> @t126 (forall @t23 (= (= @t20 @t125) (and @t38 (forall @t45 (= @t44 (exists @t124 (and (tptp.aElementOf0 @t123 @t5) (= (tptp.sdtlpdtrp0 @t1 @t123) @t40))))))))))))) % 98.15/98.33 (assume @p69 (forall @t3 (=> @t115 (forall @t8 (=> @t118 (tptp.aElementOf0 @t117 @t127)))))) % 98.15/98.33 (assume @p70 (forall @t3 (=> @t115 (forall @t8 (=> @t126 (forall @t23 (= (= @t20 (tptp.sdtexdt0 @t1 @t5)) (and @t129 (= @t128 @t5) (forall @t45 (=> (tptp.aElementOf0 @t40 @t5) (= (tptp.sdtlpdtrp0 @t20 @t40) @t119))))))))))) % 98.15/98.33 (assume @p71 (forall @t3 (=> @t115 (forall @t8 (=> (and @t126 @t60) (=> (forall (@list @t20 @t40) (=> (and (tptp.aElementOf0 @t20 @t116) @t120 (not (= @t20 @t40))) (not (= (tptp.sdtlpdtrp0 @t1 @t20) @t119)))) (tptp.isCountable0 @t125))))))) % 98.15/98.33 (assume @p72 (forall @t3 (=> @t115 (=> (and (tptp.isCountable0 @t116) (tptp.isFinite0 @t127)) (and (tptp.aElement0 @t130) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t130))))))) % 98.15/98.33 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 98.15/98.33 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 98.15/98.33 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 98.15/98.33 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t131 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t131) tptp.xT))) % 98.15/98.33 (assume @p77 (forall @t3 (=> @t66 (forall @t8 (=> (and @t98 @t60) (forall @t23 (=> (and @t129 (= @t128 @t114) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t20 @t128) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t45 (and (tptp.aElementOf0 @t40 tptp.xT) (exists @t124 (and (tptp.aSubsetOf0 @t123 @t5) (tptp.isCountable0 @t123) (forall (@list @t132) (=> (tptp.aElementOf0 @t132 (tptp.slbdtsldtrb0 @t123 @t1)) (= (tptp.sdtlpdtrp0 @t20 @t132) @t40))))))))))))))) % 98.15/98.33 (assume @p78 (not (= tptp.xK tptp.sz00))) % 98.15/98.33 (assume @p79 (and @t134 (= @t133 tptp.xK))) % 98.15/98.33 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t141 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t66 (=> @t140 (and (tptp.aSubsetOf0 @t135 (tptp.sdtmndt0 @t136 @t137)) (tptp.isCountable0 @t135))))))) % 98.15/98.33 (assume @p81 @t142) % 98.15/98.33 (assume @p82 (forall @t36 (=> @t69 (=> @t72 (tptp.aSubsetOf0 @t136 @t143))))) % 98.15/98.33 (assume @p83 (forall @t36 (=> (and @t66 @t68 (not @t34)) (not (= @t137 (tptp.szmzizndt0 @t143)))))) % 98.15/98.33 (assume @p84 @t144) % 98.15/98.33 (assume @p85 @t149) % 98.15/98.33 (assume @p86 @t151) % 98.15/98.33 (assume @p87 true) % 98.15/98.33 (step @p88 :rule refl :args (@t150)) % 98.15/98.33 (step @p89 :rule and_elim :premises (@p79) :args (1)) % 98.15/98.33 (step @p90 :rule symm :premises (@p89)) % 98.15/98.33 (step @p91 :rule cong :premises (@p90 @p88) :args (@t152)) % 98.15/98.33 (step @p92 :rule cong :premises (@p91) :args ((not @t152))) % 98.15/98.33 (step @p93 :rule eq-symm :args (@t150 tptp.xK)) % 98.15/98.33 (step @p94 :rule cong :premises (@p93) :args (@t151)) % 98.15/98.33 (step @p95 :rule trans :premises (@p94 @p92)) % 98.15/98.33 (step @p96 :rule eq_resolve :premises (@p86 @p95)) % 98.15/98.33 (step @p97 :rule refl :args (@t157)) % 98.15/98.33 (step @p98 :rule and_elim :premises (@p80) :args (1)) % 98.15/98.33 (step @p99 :rule symm :premises (@p98)) % 98.15/98.33 (step @p100 :rule refl :args (@t5)) % 98.15/98.33 (step @p101 :rule cong :premises (@p100 @p99) :args (@t68)) % 98.15/98.33 (step @p102 :rule cong :premises (@p101) :args (@t158)) % 98.15/98.33 (step @p103 :rule refl :args (@t159)) % 98.15/98.33 (step @p104 :rule nary_cong :premises (@p103 @p102 @p97) :args (@t160)) % 98.15/98.33 (step @p105 :rule cong :premises (@p104) :args ((forall @t161 @t160))) % 98.15/98.33 (step @p106 :rule eq-symm :args (@t154 @t155)) % 98.15/98.33 (step @p107 :rule cong :premises (@p106) :args (@t162)) % 98.15/98.33 (step @p108 :rule refl :args (@t156)) % 98.15/98.33 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t163)) % 98.15/98.33 (step @p110 :rule eq-symm :args (@t153 @t108)) % 98.15/98.33 (step @p111 :rule cong :premises (@p110 @p109) :args (@t164)) % 98.15/98.33 (step @p112 :rule refl :args (@t158)) % 98.15/98.33 (step @p113 :rule nary_cong :premises (@p103 @p112 @p111) :args (@t165)) % 98.15/98.33 (step @p114 :rule cong :premises (@p113) :args (@t166)) % 98.15/98.33 (step @p115 :rule quant-merge-prenex :args ((= (forall @t36 @t168) @t166))) % 98.15/98.33 (step @p116 :rule alpha_equiv :args (@t169 (@list @t153) @t170)) % 98.15/98.33 (step @p117 :rule refl :args (@t158)) % 98.15/98.33 (step @p118 :rule refl :args (@t159)) % 98.15/98.33 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116) :args (@t171)) % 98.15/98.33 (step @p120 :rule quant-miniscope-or :args ((= @t168 @t171))) % 98.15/98.33 (step @p121 :rule trans :premises (@p120 @p119)) % 98.15/98.33 (step @p122 :rule symm :premises (@p121)) % 98.15/98.33 (step @p123 :rule cong :premises (@p122) :args ((forall @t36 @t173))) % 98.15/98.33 (step @p124 :rule trans :premises (@p123 @p115)) % 98.15/98.33 (step @p125 :rule trans :premises (@p124 @p114)) % 98.15/98.33 (step @p126 :rule aci_norm :args ((= (or (or @t159 @t158) @t172) @t173))) % 98.15/98.33 (step @p127 :rule refl :args (@t172)) % 98.15/98.33 (step @p128 :rule bool-and-de-morgan :args (@t2 @t68 true)) % 98.15/98.33 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t86) @t172))) % 98.15/98.33 (step @p130 :rule trans :premises (@p129 @p126)) % 98.15/98.33 (step @p131 :rule bool-impl-elim :args (@t86 @t172)) % 98.15/98.33 (step @p132 :rule trans :premises (@p131 @p130)) % 98.15/98.33 (step @p133 :rule cong :premises (@p132) :args ((forall @t36 (=> @t86 @t172)))) % 98.15/98.33 (step @p134 :rule trans :premises (@p133 @p125)) % 98.15/98.33 (step @p135 :rule eq-symm :args (@t102 @t5)) % 98.15/98.33 (step @p136 :rule refl :args (@t103)) % 98.15/98.33 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t104)) % 98.15/98.33 (step @p138 :rule refl :args (@t44)) % 98.15/98.33 (step @p139 :rule cong :premises (@p138 @p137) :args (@t105)) % 98.15/98.33 (step @p140 :rule cong :premises (@p139) :args (@t106)) % 98.15/98.33 (step @p141 :rule refl :args (@t38)) % 98.15/98.33 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t107)) % 98.15/98.33 (step @p143 :rule refl :args (@t109)) % 98.15/98.33 (step @p144 :rule cong :premises (@p143 @p142) :args (@t110)) % 98.15/98.33 (step @p145 :rule cong :premises (@p144) :args (@t111)) % 98.15/98.33 (step @p146 :rule refl :args (@t86)) % 98.15/98.33 (step @p147 :rule cong :premises (@p146 @p145) :args (@t112)) % 98.15/98.33 (step @p148 :rule cong :premises (@p147) :args (@t113)) % 98.15/98.33 (step @p149 :rule trans :premises (@p148 @p134)) % 98.15/98.33 (step @p150 :rule trans :premises (@p149 @p105)) % 98.15/98.33 (step @p151 :rule eq_resolve :premises (@p57 @p150)) % 98.15/98.33 (step @p152 :rule bool-eq-true :args (@t178)) % 98.15/98.33 (step @p153 :rule eq-symm :args (true @t178)) % 98.15/98.33 (step @p154 :rule trans :premises (@p153 @p152)) % 98.15/98.33 (step @p155 :rule eq-symm :args (tptp.xk @t102)) % 98.15/98.33 (step @p156 :rule refl :args (@t174)) % 98.15/98.33 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t179)) % 98.15/98.33 (step @p158 :rule refl :args (@t175)) % 98.15/98.33 (step @p159 :rule cong :premises (@p158 @p157) :args ((= @t175 @t179))) % 98.15/98.33 (step @p160 :rule eq-symm :args (@t179 @t175)) % 98.15/98.33 (step @p161 :rule trans :premises (@p160 @p159)) % 98.15/98.33 (step @p162 :rule cong :premises (@p161) :args (@t180)) % 98.15/98.33 (step @p163 :rule refl :args (@t177)) % 98.15/98.33 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t181)) % 98.15/98.33 (step @p165 :rule eq-refl :args (@t148)) % 98.15/98.33 (step @p166 :rule cong :premises (@p165 @p164) :args (@t182)) % 98.15/98.33 (step @p167 :rule trans :premises (@p166 @p154)) % 98.15/98.33 (step @p168 :rule refl :args (@t184)) % 98.15/98.33 (step @p169 :rule refl :args (@t186)) % 98.15/98.33 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167) :args (@t187)) % 98.15/98.33 (step @p171 :rule refl :args (@t188)) % 98.15/98.33 (step @p172 :rule cong :premises (@p171 @p170) :args ((=> @t188 @t187))) % 98.15/98.33 (assume-push @p668 @t188) % 98.15/98.33 (step @p174 :rule instantiate :premises (@p151) :args ((@list @t147 tptp.xk @t148))) % 98.15/98.33 (step-pop @p669 :rule scope :premises (@p174)) % 98.15/98.33 (step @p175 :rule process_scope :premises (@p669) :args (@t187)) % 98.15/98.33 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 98.15/98.33 (step @p178 :rule implies_elim :premises (@p177)) % 98.15/98.33 (step @p179 :rule chain_m_resolution :premises (@p178 @p151) :args (@t189 @t190 (@list @t188))) % 98.15/98.33 (step @p180 :rule eq-symm :args (@t192 @t193)) % 98.15/98.33 (step @p181 :rule cong :premises (@p180) :args (@t194)) % 98.15/98.33 (step @p182 :rule refl :args (@t195)) % 98.15/98.33 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t196)) % 98.15/98.33 (step @p184 :rule eq-symm :args (@t191 @t53)) % 98.15/98.33 (step @p185 :rule cong :premises (@p184 @p183) :args (@t197)) % 98.15/98.33 (step @p186 :rule refl :args (@t198)) % 98.15/98.33 (step @p187 :rule nary_cong :premises (@p103 @p186 @p185) :args (@t199)) % 98.15/98.33 (step @p188 :rule cong :premises (@p187) :args (@t201)) % 98.15/98.33 (step @p189 :rule quant-merge-prenex :args ((= (forall @t36 @t203) @t201))) % 98.15/98.33 (step @p190 :rule alpha_equiv :args (@t204 (@list @t191) @t170)) % 98.15/98.33 (step @p191 :rule refl :args (@t198)) % 98.15/98.33 (step @p192 :rule nary_cong :premises (@p118 @p191 @p190) :args (@t205)) % 98.15/98.33 (step @p193 :rule quant-miniscope-or :args ((= @t203 @t205))) % 98.15/98.33 (step @p194 :rule trans :premises (@p193 @p192)) % 98.15/98.33 (step @p195 :rule symm :premises (@p194)) % 98.15/98.33 (step @p196 :rule cong :premises (@p195) :args ((forall @t36 @t207))) % 98.15/98.33 (step @p197 :rule trans :premises (@p196 @p189)) % 98.15/98.33 (step @p198 :rule trans :premises (@p197 @p188)) % 98.15/98.33 (step @p199 :rule aci_norm :args ((= (or (or @t159 @t198) @t206) @t207))) % 98.15/98.33 (step @p200 :rule refl :args (@t206)) % 98.15/98.33 (step @p201 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 98.15/98.33 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or (not @t47) @t206))) % 98.15/98.33 (step @p203 :rule trans :premises (@p202 @p199)) % 98.15/98.33 (step @p204 :rule bool-impl-elim :args (@t47 @t206)) % 98.15/98.33 (step @p205 :rule trans :premises (@p204 @p203)) % 98.15/98.33 (step @p206 :rule cong :premises (@p205) :args ((forall @t36 (=> @t47 @t206)))) % 98.15/98.33 (step @p207 :rule trans :premises (@p206 @p198)) % 98.15/98.33 (step @p208 :rule eq-symm :args (@t40 @t5)) % 98.15/98.33 (step @p209 :rule cong :premises (@p208) :args (@t48)) % 98.15/98.33 (step @p210 :rule refl :args (@t42)) % 98.15/98.33 (step @p211 :rule refl :args (@t43)) % 98.15/98.33 (step @p212 :rule nary_cong :premises (@p211 @p210 @p209) :args (@t49)) % 98.15/98.33 (step @p213 :rule cong :premises (@p138 @p212) :args (@t50)) % 98.15/98.33 (step @p214 :rule cong :premises (@p213) :args (@t51)) % 98.15/98.33 (step @p215 :rule nary_cong :premises (@p141 @p214) :args (@t52)) % 98.15/98.33 (step @p216 :rule refl :args (@t54)) % 98.15/98.33 (step @p217 :rule cong :premises (@p216 @p215) :args (@t55)) % 98.15/98.33 (step @p218 :rule cong :premises (@p217) :args (@t56)) % 98.15/98.33 (step @p219 :rule refl :args (@t47)) % 98.15/98.33 (step @p220 :rule cong :premises (@p219 @p218) :args (@t57)) % 98.15/98.33 (step @p221 :rule cong :premises (@p220) :args (@t58)) % 98.15/98.33 (step @p222 :rule trans :premises (@p221 @p207)) % 98.15/98.33 (step @p223 :rule eq_resolve :premises (@p16 @p222)) % 98.15/98.33 (step @p224 :rule bool-eq-true :args (@t212)) % 98.15/98.33 (step @p225 :rule eq-symm :args (true @t212)) % 98.15/98.33 (step @p226 :rule trans :premises (@p225 @p224)) % 98.15/98.33 (step @p227 :rule eq-symm :args (@t209 @t210)) % 98.15/98.33 (step @p228 :rule refl :args (@t210)) % 98.15/98.33 (step @p229 :rule eq-symm :args (@t146 @t40)) % 98.15/98.33 (step @p230 :rule cong :premises (@p229) :args (@t213)) % 98.15/98.33 (step @p231 :rule refl :args (@t208)) % 98.15/98.33 (step @p232 :rule nary_cong :premises (@p211 @p231 @p230) :args (@t214)) % 98.15/98.33 (step @p233 :rule cong :premises (@p232 @p228) :args (@t215)) % 98.15/98.33 (step @p234 :rule trans :premises (@p233 @p227)) % 98.15/98.33 (step @p235 :rule cong :premises (@p234) :args (@t216)) % 98.15/98.33 (step @p236 :rule refl :args (@t185)) % 98.15/98.33 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t217)) % 98.15/98.33 (step @p238 :rule eq-refl :args (@t147)) % 98.15/98.33 (step @p239 :rule cong :premises (@p238 @p237) :args (@t218)) % 98.15/98.33 (step @p240 :rule trans :premises (@p239 @p226)) % 98.15/98.33 (step @p241 :rule refl :args (@t220)) % 98.15/98.33 (step @p242 :rule refl :args (@t222)) % 98.15/98.33 (step @p243 :rule nary_cong :premises (@p242 @p241 @p240) :args (@t223)) % 98.15/98.33 (step @p244 :rule refl :args (@t224)) % 98.15/98.33 (step @p245 :rule cong :premises (@p244 @p243) :args ((=> @t224 @t223))) % 98.15/98.33 (assume-push @p670 @t224) % 98.15/98.33 (step @p247 :rule instantiate :premises (@p223) :args ((@list @t145 @t146 @t147))) % 98.15/98.33 (step-pop @p671 :rule scope :premises (@p247)) % 98.15/98.33 (step @p248 :rule process_scope :premises (@p671) :args (@t223)) % 98.15/98.33 (step @p250 :rule eq_resolve :premises (@p248 @p245)) % 98.15/98.33 (step @p251 :rule implies_elim :premises (@p250)) % 98.15/98.33 (step @p252 :rule chain_m_resolution :premises (@p251 @p223) :args (@t225 @t190 (@list @t224))) % 98.15/98.33 (step @p253 :rule aci_norm :args ((= @t230 (or @t159 @t228 @t227)))) % 98.15/98.33 (step @p254 :rule cong :premises (@p253) :args (@t231)) % 98.15/98.33 (step @p255 :rule quant-merge-prenex :args ((= (forall @t3 @t233) @t231))) % 98.15/98.33 (step @p256 :rule alpha_equiv :args (@t234 (@list @t226) @t235)) % 98.15/98.33 (step @p257 :rule nary_cong :premises (@p118 @p256) :args (@t236)) % 98.15/98.33 (step @p258 :rule quant-miniscope-or :args ((= @t233 @t236))) % 98.15/98.33 (step @p259 :rule trans :premises (@p258 @p257)) % 98.15/98.33 (step @p260 :rule symm :premises (@p259)) % 98.15/98.33 (step @p261 :rule cong :premises (@p260) :args ((forall @t3 (or @t159 @t237)))) % 98.15/98.33 (step @p262 :rule trans :premises (@p261 @p255)) % 98.15/98.33 (step @p263 :rule trans :premises (@p262 @p254)) % 98.15/98.33 (step @p264 :rule bool-impl-elim :args (@t2 @t237)) % 98.15/98.33 (step @p265 :rule cong :premises (@p264) :args ((forall @t3 (=> @t2 @t237)))) % 98.15/98.33 (step @p266 :rule trans :premises (@p265 @p263)) % 98.15/98.33 (step @p267 :rule bool-impl-elim :args (@t7 @t6)) % 98.15/98.33 (step @p268 :rule cong :premises (@p267) :args (@t9)) % 98.15/98.33 (step @p269 :rule refl :args (@t2)) % 98.15/98.33 (step @p270 :rule cong :premises (@p269 @p268) :args 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:rule aci_norm :args ((= @t321 @t319))) % 98.15/98.33 (step @p503 :rule trans :premises (@p502 @p501)) % 98.15/98.33 (step @p504 :rule cong :premises (@p503) :args (@t323)) % 98.15/98.33 (step @p505 :rule quant-merge-prenex :args ((= (forall @t3 @t325) @t323))) % 98.15/98.33 (step @p506 :rule alpha_equiv :args (@t326 (@list @t314) @t235)) % 98.15/98.33 (step @p507 :rule nary_cong :premises (@p118 @p346 @p506) :args (@t327)) % 98.15/98.33 (step @p508 :rule quant-miniscope-or :args ((= @t325 @t327))) % 98.15/98.33 (step @p509 :rule trans :premises (@p508 @p507)) % 98.15/98.33 (step @p510 :rule symm :premises (@p509)) % 98.15/98.33 (step @p511 :rule cong :premises (@p510) :args ((forall @t3 @t330))) % 98.15/98.33 (step @p512 :rule trans :premises (@p511 @p505)) % 98.15/98.33 (step @p513 :rule trans :premises (@p512 @p504)) % 98.15/98.33 (step @p514 :rule aci_norm :args ((= (or (or @t159 @t16) @t329) @t330))) % 98.15/98.33 (step @p515 :rule refl :args (@t329)) % 98.15/98.33 (step @p516 :rule bool-and-de-morgan :args (@t2 @t12 true)) % 98.15/98.33 (step @p517 :rule nary_cong :premises (@p516 @p515) :args ((or (not @t33) @t329))) % 98.15/98.33 (step @p518 :rule trans :premises (@p517 @p514)) % 98.15/98.33 (step @p519 :rule bool-impl-elim :args (@t33 @t329)) % 98.15/98.33 (step @p520 :rule trans :premises (@p519 @p518)) % 98.15/98.33 (step @p521 :rule cong :premises (@p520) :args ((forall @t3 (=> @t33 @t329)))) % 98.15/98.33 (step @p522 :rule trans :premises (@p521 @p513)) % 98.15/98.33 (step @p523 :rule aci_norm :args ((= (or @t198 (or @t7 @t80)) @t328))) % 98.15/98.33 (step @p524 :rule refl :args (@t80)) % 98.15/98.33 (step @p525 :rule bool-double-not-elim :args (@t7)) % 98.15/98.33 (step @p526 :rule nary_cong :premises (@p525 @p524) :args ((or (not @t81) @t80))) % 98.15/98.33 (step @p527 :rule bool-impl-elim :args (@t81 @t80)) % 98.15/98.33 (step @p528 :rule trans :premises (@p527 @p526)) % 98.15/98.33 (step @p529 :rule nary_cong :premises (@p191 @p528) :args ((or @t198 @t82))) % 98.15/98.33 (step @p530 :rule trans :premises (@p529 @p523)) % 98.15/98.33 (step @p531 :rule bool-impl-elim :args (@t6 @t82)) % 98.15/98.33 (step @p532 :rule trans :premises (@p531 @p530)) % 98.15/98.33 (step @p533 :rule cong :premises (@p532) :args (@t83)) % 98.15/98.33 (step @p534 :rule refl :args (@t33)) % 98.15/98.33 (step @p535 :rule cong :premises (@p534 @p533) :args (@t84)) % 98.15/98.33 (step @p536 :rule cong :premises (@p535) :args (@t85)) % 98.15/98.33 (step @p537 :rule trans :premises (@p536 @p522)) % 98.15/98.33 (step @p538 :rule eq_resolve :premises (@p43 @p537)) % 98.15/98.33 (step @p539 :rule eq-symm :args (@t331 @t150)) % 98.15/98.33 (step @p540 :rule refl :args (@t332)) % 98.15/98.33 (step @p541 :rule refl :args (@t334)) % 98.15/98.33 (step @p542 :rule refl :args (@t336)) % 98.15/98.33 (step @p543 :rule nary_cong :premises (@p542 @p541 @p241 @p540 @p539) :args (@t337)) % 98.15/98.33 (step @p544 :rule refl :args (@t338)) % 98.15/98.33 (step @p545 :rule cong :premises (@p544 @p543) :args ((=> @t338 @t337))) % 98.15/98.33 (assume-push @p688 @t338) % 98.15/98.33 (step @p547 :rule instantiate :premises (@p538) :args ((@list tptp.xQ @t146))) % 98.15/98.33 (step-pop @p689 :rule scope :premises (@p547)) % 98.15/98.33 (step @p548 :rule process_scope :premises (@p689) :args (@t337)) % 98.15/98.33 (step @p550 :rule eq_resolve :premises (@p548 @p545)) % 98.15/98.33 (step @p551 :rule implies_elim :premises (@p550)) % 98.15/98.33 (step @p552 :rule chain_m_resolution :premises (@p551 @p538) :args (@t340 @t190 (@list @t338))) % 98.15/98.33 (step @p553 :rule refl :args (@t75)) % 98.15/98.33 (step @p554 :rule cong :premises (@p553 @p99) :args (@t76)) % 98.15/98.33 (step @p555 :rule refl :args (@t12)) % 98.15/98.33 (step @p556 :rule cong :premises (@p555 @p554) :args (@t341)) % 98.15/98.33 (step @p557 :rule nary_cong :premises (@p103 @p556) :args (@t342)) % 98.15/98.33 (step @p558 :rule cong :premises (@p557) :args ((forall @t3 @t342))) % 98.15/98.33 (step @p559 :rule bool-impl-elim :args (@t2 @t341)) % 98.15/98.33 (step @p560 :rule cong :premises (@p559) :args ((forall @t3 (=> @t2 @t341)))) % 98.15/98.33 (step @p561 :rule eq-symm :args (@t76 @t12)) % 98.15/98.33 (step @p562 :rule cong :premises (@p269 @p561) :args (@t77)) % 98.15/98.33 (step @p563 :rule cong :premises (@p562) :args (@t78)) % 98.15/98.33 (step @p564 :rule trans :premises (@p563 @p560)) % 98.15/98.33 (step @p565 :rule trans :premises (@p564 @p558)) % 98.15/98.33 (step @p566 :rule eq_resolve :premises (@p41 @p565)) % 98.15/98.33 (step @p567 :rule instantiate :premises (@p566) :args (@t308)) % 98.15/98.33 (step @p568 :rule instantiate :premises (@p398) :args ((@list @t147 tptp.xQ))) % 98.15/98.33 (step @p569 :rule cnf_or_pos :args (@t346)) % 98.15/98.33 (step @p570 :rule reordering :premises (@p569) :args ((or @t186 @t345 (not @t346)))) % 98.15/98.33 (step @p571 :rule chain_m_resolution :premises (@p570 @p466 @p568) :args (@t345 @t275 (@list @t185 @t346))) % 98.15/98.33 (step @p572 :rule cnf_and_pos :args (@t310 0)) % 98.15/98.33 (step @p573 :rule reordering :premises (@p572) :args ((or @t305 @t312))) % 98.15/98.33 (step @p574 :rule chain_m_resolution :premises (@p573 @p493) :args (@t305 @t190 @t313)) % 98.15/98.33 (step @p575 :rule cnf_equiv_pos1 :args (@t345)) % 98.15/98.33 (step @p576 :rule reordering :premises (@p575) :args ((or (not @t305) @t344 (not @t345)))) % 98.15/98.33 (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p571) :args (@t344 @t275 (@list @t305 @t345))) % 98.15/98.33 (step @p578 :rule cnf_and_pos :args (@t344 0)) % 98.15/98.33 (step @p579 :rule reordering :premises (@p578) :args ((or @t335 @t347))) % 98.15/98.33 (step @p580 :rule chain_m_resolution :premises (@p579 @p577) :args (@t335 @t190 @t348)) % 98.15/98.33 (step @p581 :rule cnf_or_pos :args (@t351)) % 98.15/98.33 (step @p582 :rule reordering :premises (@p581) :args ((or @t336 @t350 (not @t351)))) % 98.15/98.33 (step @p583 :rule chain_m_resolution :premises (@p582 @p580 @p567) :args (@t350 @t275 (@list @t335 @t351))) % 98.15/98.33 (assume-push @p690 @t183) % 98.15/98.33 (assume-push @p691 @t309) % 98.15/98.33 (assume-push @p692 @t183) % 98.15/98.33 (assume-push @p693 @t309) % 98.15/98.33 (step @p588 :rule true_intro :premises (@p470)) % 98.15/98.33 (step @p589 :rule refl :args (@t141)) % 98.15/98.33 (step @p590 :rule symm :premises (@p691)) % 98.15/98.33 (step @p591 :rule cong :premises (@p590 @p589) :args (@t349)) % 98.15/98.33 (step @p592 :rule trans :premises (@p591 @p588)) % 98.15/98.33 (step @p593 :rule true_elim :premises (@p592)) % 98.15/98.33 (step-pop @p694 :rule scope :premises (@p593)) % 98.15/98.33 (step-pop @p695 :rule scope :premises (@p694)) % 98.15/98.33 (step @p594 :rule process_scope :premises (@p695) :args (@t349)) % 98.15/98.33 (step @p597 :rule and_intro :premises (@p470 @p691)) % 98.15/98.33 (step @p598 :rule modus_ponens :premises (@p597 @p594)) % 98.15/98.33 (step-pop @p696 :rule scope :premises (@p598)) % 98.15/98.33 (step-pop @p697 :rule scope :premises (@p696)) % 98.15/98.33 (step @p599 :rule process_scope :premises (@p697) :args (@t349)) % 98.15/98.33 (step @p602 :rule implies_elim :premises (@p599)) % 98.15/98.33 (step @p603 :rule cnf_and_neg :args (@t352)) % 98.15/98.33 (step @p604 :rule resolution :premises (@p603 @p602) :args (true @t352)) % 98.15/98.33 (step @p605 :rule chain_m_resolution :premises (@p604 @p470 @p496) :args (@t349 @t275 (@list @t183 @t309))) % 98.15/98.33 (step @p606 :rule cnf_equiv_pos2 :args (@t350)) % 98.15/98.33 (step @p607 :rule reordering :premises (@p606) :args ((or @t333 (not @t349) (not @t350)))) % 98.15/98.33 (step @p608 :rule chain_m_resolution :premises (@p607 @p605 @p583) :args (@t333 @t275 (@list @t349 @t350))) % 98.15/98.33 (step @p609 :rule cnf_and_pos :args (@t344 1)) % 98.15/98.33 (step @p610 :rule reordering :premises (@p609) :args ((or @t343 @t347))) % 98.15/98.33 (step @p611 :rule chain_m_resolution :premises (@p610 @p577) :args (@t343 @t190 @t348)) % 98.15/98.33 (assume-push @p698 @t343) % 98.15/98.33 (step @p613 :rule instantiate :premises (@p698) :args (@t353)) % 98.15/98.33 (step-pop @p699 :rule scope :premises (@p613)) % 98.15/98.33 (step @p614 :rule process_scope :premises (@p699) :args (@t356)) % 98.15/98.33 (step @p616 :rule implies_elim :premises (@p614)) % 98.15/98.33 (step @p617 :rule chain_m_resolution :premises (@p616 @p611) :args (@t356 @t190 (@list @t343))) % 98.15/98.33 (step @p618 :rule cnf_and_pos :args (@t212 1)) % 98.15/98.33 (step @p619 :rule reordering :premises (@p618) :args ((or @t211 @t302))) % 98.15/98.33 (step @p620 :rule chain_m_resolution :premises (@p619 @p463) :args (@t211 @t190 @t303)) % 98.15/98.33 (step @p621 :rule bool-eq-false :args (@t354)) % 98.15/98.33 (step @p622 :rule absorb :args ((= (and @t219 @t257 false) false))) % 98.15/98.33 (step @p623 :rule evaluate :args ((not true))) % 98.15/98.33 (step @p624 :rule cong :premises (@p329) :args (@t357)) % 98.15/98.33 (step @p625 :rule trans :premises (@p624 @p623)) % 98.15/98.33 (step @p626 :rule refl :args (@t257)) % 98.15/98.33 (step @p627 :rule refl :args (@t219)) % 98.15/98.33 (step @p628 :rule nary_cong :premises (@p627 @p626 @p625) :args (@t358)) % 98.15/98.33 (step @p629 :rule trans :premises (@p628 @p622)) % 98.15/98.33 (step @p630 :rule refl :args (@t354)) % 98.15/98.33 (step @p631 :rule cong :premises (@p630 @p629) :args (@t359)) % 98.15/98.33 (step @p632 :rule trans :premises (@p631 @p621)) % 98.15/98.33 (step @p633 :rule refl :args (@t211)) % 98.15/98.33 (step @p634 :rule cong :premises (@p633 @p632) :args ((=> @t211 @t359))) % 98.15/98.33 (assume-push @p700 @t211) % 98.15/98.33 (step @p636 :rule instantiate :premises (@p700) :args (@t353)) % 98.15/98.33 (step-pop @p701 :rule scope :premises (@p636)) % 98.15/98.33 (step @p637 :rule process_scope :premises (@p701) :args (@t359)) % 98.15/98.33 (step @p639 :rule eq_resolve :premises (@p637 @p634)) % 98.15/98.33 (step @p640 :rule implies_elim :premises (@p639)) % 98.15/98.33 (step @p641 :rule chain_m_resolution :premises (@p640 @p620) :args ((not @t354) @t190 (@list @t211))) % 98.15/98.33 (step @p642 :rule cnf_or_pos :args (@t356)) % 98.15/98.33 (step @p643 :rule reordering :premises (@p642) :args ((or @t355 @t354 (not @t356)))) % 98.15/98.33 (step @p644 :rule chain_m_resolution :premises (@p643 @p641 @p617) :args (@t355 (@list true false) (@list @t354 @t356))) % 98.15/98.33 (step @p645 :rule cnf_or_pos :args (@t340)) % 98.15/98.33 (step @p646 :rule reordering :premises (@p645) :args ((or @t220 @t336 @t332 @t334 @t339 (not @t340)))) % 98.15/98.33 (step @p647 :rule chain_m_resolution :premises (@p646 @p460 @p580 @p644 @p608 @p552) :args (@t339 (@list false false true false false) (@list @t219 @t335 @t332 @t333 @t340))) % 98.15/98.33 (assume-push @p702 @t339) % 98.15/98.33 (assume-push @p703 @t309) % 98.15/98.33 (assume-push @p704 @t339) % 98.15/98.33 (assume-push @p705 @t309) % 98.15/98.34 (step @p652 :rule symm :premises (@p702)) % 98.15/98.34 (step @p653 :rule cong :premises (@p703) :args (@t133)) % 98.15/98.34 (step @p654 :rule trans :premises (@p653 @p652)) % 98.15/98.34 (step-pop @p706 :rule scope :premises (@p654)) % 98.15/98.34 (step-pop @p707 :rule scope :premises (@p706)) % 98.15/98.34 (step @p655 :rule process_scope :premises (@p707) :args (@t360)) % 98.15/98.34 (step @p658 :rule and_intro :premises (@p702 @p703)) % 98.15/98.34 (step @p659 :rule modus_ponens :premises (@p658 @p655)) % 98.15/98.34 (step-pop @p708 :rule scope :premises (@p659)) % 98.15/98.34 (step-pop @p709 :rule scope :premises (@p708)) % 98.15/98.34 (step @p660 :rule process_scope :premises (@p709) :args (@t360)) % 98.15/98.34 (step @p663 :rule implies_elim :premises (@p660)) % 98.15/98.34 (step @p664 :rule cnf_and_neg :args (@t361)) % 98.15/98.34 (step @p665 :rule resolution :premises (@p664 @p663) :args (true @t361)) % 98.15/98.34 (step @p666 :rule reordering :premises (@p665) :args ((or @t360 (not @t339) (not @t309)))) % 98.15/98.34 (step @p667 false :rule chain_m_resolution :premises (@p666 @p647 @p496 @p96) :args (false (@list false false true) (@list @t339 @t309 @t360))) % 98.15/98.34 ) % 98.15/98.34 % SZS output end Proof % 98.15/98.34 % cvc5 exiting %------------------------------------------------------------------------------