%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM611+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 : n008.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 08:40:00 AM UTC 2026 % Result : Theorem 17.84s 18.12s % Output : Proof 17.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM611+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 % 0.17/0.34 % Computer : n008.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 11:36:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 17.84/18.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.84/18.12 --- Run --no-e-matching --full-saturate-quant at 6... % 17.84/18.12 % SZS status Theorem % 17.84/18.12 % SZS output start Proof % 17.84/18.12 ( % 17.84/18.12 (declare-sort $$unsorted 0) % 17.84/18.12 (declare-const tptp.xp $$unsorted) % 17.84/18.12 (declare-const tptp.xQ $$unsorted) % 17.84/18.12 (declare-const tptp.xe $$unsorted) % 17.84/18.12 (declare-const tptp.xP $$unsorted) % 17.84/18.12 (declare-const tptp.xC $$unsorted) % 17.84/18.12 (declare-const tptp.xN $$unsorted) % 17.84/18.12 (declare-const tptp.sz00 $$unsorted) % 17.84/18.12 (declare-const tptp.xc $$unsorted) % 17.84/18.12 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 17.84/18.12 (declare-const tptp.szNzAzT0 $$unsorted) % 17.84/18.12 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 17.84/18.12 (declare-const tptp.xd $$unsorted) % 17.84/18.12 (declare-const tptp.xk $$unsorted) % 17.84/18.12 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 17.84/18.12 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 17.84/18.12 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 17.84/18.12 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 17.84/18.12 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 17.84/18.12 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 17.84/18.12 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 17.84/18.12 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.xK $$unsorted) % 17.84/18.12 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.xT $$unsorted) % 17.84/18.12 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.xO $$unsorted) % 17.84/18.12 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.xS $$unsorted) % 17.84/18.12 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.slcrc0 $$unsorted) % 17.84/18.12 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 17.84/18.12 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 17.84/18.12 (define @t1 () (@var "W0" $$unsorted)) % 17.84/18.12 (define @t2 () (tptp.aSet0 @t1)) % 17.84/18.12 (define @t3 () (@list @t1)) % 17.84/18.12 (define @t4 () (tptp.aElement0 @t1)) % 17.84/18.12 (define @t5 () (@var "W1" $$unsorted)) % 17.84/18.12 (define @t6 () (tptp.aElement0 @t5)) % 17.84/18.12 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 17.84/18.12 (define @t8 () (@list @t5)) % 17.84/18.12 (define @t9 () (tptp.isFinite0 @t1)) % 17.84/18.12 (define @t10 () (= @t1 tptp.slcrc0)) % 17.84/18.12 (define @t11 () (tptp.isCountable0 @t1)) % 17.84/18.12 (define @t12 () (not @t9)) % 17.84/18.12 (define @t13 () (and @t2 @t11)) % 17.84/18.12 (define @t14 () (not @t10)) % 17.84/18.12 (define @t15 () (@var "W2" $$unsorted)) % 17.84/18.12 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 17.84/18.12 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 17.84/18.12 (define @t18 () (@list @t15)) % 17.84/18.12 (define @t19 () (forall @t18 (=> @t17 @t16))) % 17.84/18.12 (define @t20 () (tptp.aSet0 @t5)) % 17.84/18.12 (define @t21 () (and @t20 @t19)) % 17.84/18.12 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 17.84/18.12 (define @t23 () (= @t22 @t21)) % 17.84/18.12 (define @t24 () (forall @t8 @t23)) % 17.84/18.12 (define @t25 () (=> @t2 @t24)) % 17.84/18.12 (define @t26 () (forall @t3 @t25)) % 17.84/18.12 (define @t27 () (tptp.isFinite0 @t5)) % 17.84/18.12 (define @t28 () (forall @t8 (=> @t22 @t27))) % 17.84/18.12 (define @t29 () (and @t2 @t9)) % 17.84/18.12 (define @t30 () (=> @t29 @t28)) % 17.84/18.12 (define @t31 () (forall @t3 @t30)) % 17.84/18.12 (define @t32 () (= @t1 @t5)) % 17.84/18.12 (define @t33 () (tptp.aSubsetOf0 @t1 @t5)) % 17.84/18.12 (define @t34 () (@list @t1 @t5)) % 17.84/18.12 (define @t35 () (tptp.aSubsetOf0 @t5 @t15)) % 17.84/18.12 (define @t36 () (tptp.aSet0 @t15)) % 17.84/18.12 (define @t37 () (@list @t1 @t5 @t15)) % 17.84/18.12 (define @t38 () (@var "W3" $$unsorted)) % 17.84/18.12 (define @t39 () (= @t38 @t5)) % 17.84/18.12 (define @t40 () (tptp.aElementOf0 @t38 @t1)) % 17.84/18.12 (define @t41 () (tptp.aElement0 @t38)) % 17.84/18.12 (define @t42 () (tptp.aElementOf0 @t38 @t15)) % 17.84/18.12 (define @t43 () (@list @t38)) % 17.84/18.12 (define @t44 () (tptp.sdtpldt0 @t1 @t5)) % 17.84/18.12 (define @t45 () (and @t2 @t6)) % 17.84/18.12 (define @t46 () (tptp.sdtmndt0 @t1 @t5)) % 17.84/18.12 (define @t47 () (tptp.sdtpldt0 @t5 @t1)) % 17.84/18.12 (define @t48 () (tptp.isCountable0 @t5)) % 17.84/18.12 (define @t49 () (and @t20 @t48)) % 17.84/18.12 (define @t50 () (tptp.sdtmndt0 @t5 @t1)) % 17.84/18.12 (define @t51 () (and @t20 @t27)) % 17.84/18.12 (define @t52 () (tptp.aSet0 tptp.szNzAzT0)) % 17.84/18.12 (define @t53 () (tptp.szszuzczcdt0 @t1)) % 17.84/18.12 (define @t54 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 17.84/18.12 (define @t55 () (tptp.szszuzczcdt0 @t5)) % 17.84/18.12 (define @t56 () (= @t53 @t55)) % 17.84/18.12 (define @t57 () (=> @t56 @t32)) % 17.84/18.12 (define @t58 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 17.84/18.12 (define @t59 () (and @t54 @t58)) % 17.84/18.12 (define @t60 () (forall @t34 (=> @t59 @t57))) % 17.84/18.12 (define @t61 () (= @t1 tptp.sz00)) % 17.84/18.12 (define @t62 () (tptp.sdtlseqdt0 @t1 @t5)) % 17.84/18.12 (define @t63 () (tptp.sdtlseqdt0 @t5 @t1)) % 17.84/18.12 (define @t64 () (tptp.sdtlseqdt0 @t5 @t15)) % 17.84/18.12 (define @t65 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 17.84/18.12 (define @t66 () (tptp.sbrdtbr0 @t1)) % 17.84/18.12 (define @t67 () (tptp.aElementOf0 @t66 tptp.szNzAzT0)) % 17.84/18.12 (define @t68 () (=> @t2 (= @t67 @t9))) % 17.84/18.12 (define @t69 () (forall @t3 @t68)) % 17.84/18.12 (define @t70 () (not @t7)) % 17.84/18.12 (define @t71 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t46))) % 17.84/18.12 (define @t72 () (and @t9 @t7)) % 17.84/18.12 (define @t73 () (=> @t72 (= @t71 @t66))) % 17.84/18.12 (define @t74 () (forall @t8 @t73)) % 17.84/18.12 (define @t75 () (=> @t2 @t74)) % 17.84/18.12 (define @t76 () (forall @t3 @t75)) % 17.84/18.12 (define @t77 () (and @t2 @t58)) % 17.84/18.12 (define @t78 () (tptp.szmzizndt0 @t1)) % 17.84/18.12 (define @t79 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 17.84/18.12 (define @t80 () (tptp.szmzizndt0 @t5)) % 17.84/18.12 (define @t81 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 17.84/18.12 (define @t82 () (tptp.slbdtrb0 @t1)) % 17.84/18.12 (define @t83 () (tptp.slbdtrb0 @t5)) % 17.84/18.12 (define @t84 () (tptp.sbrdtbr0 @t38)) % 17.84/18.12 (define @t85 () (tptp.aSubsetOf0 @t38 @t1)) % 17.84/18.12 (define @t86 () (and @t85 (= @t84 @t5))) % 17.84/18.12 (define @t87 () (= @t42 @t86)) % 17.84/18.12 (define @t88 () (forall @t43 @t87)) % 17.84/18.12 (define @t89 () (and @t36 @t88)) % 17.84/18.12 (define @t90 () (tptp.slbdtsldtrb0 @t1 @t5)) % 17.84/18.12 (define @t91 () (= @t15 @t90)) % 17.84/18.12 (define @t92 () (= @t91 @t89)) % 17.84/18.12 (define @t93 () (forall @t18 @t92)) % 17.84/18.12 (define @t94 () (=> @t77 @t93)) % 17.84/18.12 (define @t95 () (forall @t34 @t94)) % 17.84/18.12 (define @t96 () (tptp.slbdtsldtrb0 @t5 @t1)) % 17.84/18.12 (define @t97 () (tptp.aFunction0 @t1)) % 17.84/18.12 (define @t98 () (tptp.szDzozmdt0 @t1)) % 17.84/18.12 (define @t99 () (tptp.sdtlpdtrp0 @t1 @t5)) % 17.84/18.12 (define @t100 () (tptp.aElementOf0 @t5 @t98)) % 17.84/18.12 (define @t101 () (tptp.sdtlpdtrp0 @t1 @t38)) % 17.84/18.12 (define @t102 () (tptp.aElementOf0 @t38 @t98)) % 17.84/18.12 (define @t103 () (tptp.sdtlbdtrb0 @t1 @t5)) % 17.84/18.12 (define @t104 () (and @t97 @t6)) % 17.84/18.12 (define @t105 () (@var "W4" $$unsorted)) % 17.84/18.12 (define @t106 () (@list @t105)) % 17.84/18.12 (define @t107 () (tptp.sdtlcdtrc0 @t1 @t5)) % 17.84/18.12 (define @t108 () (tptp.aSubsetOf0 @t5 @t98)) % 17.84/18.12 (define @t109 () (tptp.sdtlcdtrc0 @t1 @t98)) % 17.84/18.12 (define @t110 () (tptp.szDzozmdt0 @t15)) % 17.84/18.12 (define @t111 () (tptp.aFunction0 @t15)) % 17.84/18.12 (define @t112 () (tptp.szDzizrdt0 @t1)) % 17.84/18.12 (define @t113 () (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 17.84/18.12 (define @t114 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 17.84/18.12 (define @t115 () (tptp.szDzozmdt0 tptp.xc)) % 17.84/18.12 (define @t116 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 17.84/18.12 (define @t117 () (= @t115 @t116)) % 17.84/18.12 (define @t118 () (@var "W5" $$unsorted)) % 17.84/18.12 (define @t119 () (tptp.szszuzczcdt0 tptp.xk)) % 17.84/18.12 (define @t120 () (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 17.84/18.12 (define @t121 () (tptp.sdtlpdtrp0 tptp.xN @t53)) % 17.84/18.12 (define @t122 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 17.84/18.12 (define @t123 () (tptp.szmzizndt0 @t122)) % 17.84/18.12 (define @t124 () (tptp.sdtmndt0 @t122 @t123)) % 17.84/18.12 (define @t125 () (and (tptp.aSubsetOf0 @t122 tptp.szNzAzT0) (tptp.isCountable0 @t122))) % 17.84/18.12 (define @t126 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 17.84/18.12 (define @t127 () (tptp.szDzozmdt0 tptp.xN)) % 17.84/18.12 (define @t128 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 17.84/18.12 (define @t129 () (tptp.sdtpldt0 @t5 @t123)) % 17.84/18.12 (define @t130 () (tptp.slbdtsldtrb0 @t124 tptp.xk)) % 17.84/18.12 (define @t131 () (and @t20 (tptp.aElementOf0 @t5 @t130))) % 17.84/18.12 (define @t132 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 17.84/18.12 (define @t133 () (tptp.sdtlpdtrp0 @t132 @t5)) % 17.84/18.12 (define @t134 () (tptp.szDzozmdt0 @t132)) % 17.84/18.12 (define @t135 () (tptp.aElementOf0 @t5 tptp.xT)) % 17.84/18.12 (define @t136 () (tptp.slbdtsldtrb0 @t121 tptp.xk)) % 17.84/18.12 (define @t137 () (tptp.szDzozmdt0 tptp.xd)) % 17.84/18.12 (define @t138 () (tptp.szDzizrdt0 tptp.xd)) % 17.84/18.12 (define @t139 () (tptp.sdtlbdtrb0 tptp.xd @t138)) % 17.84/18.12 (define @t140 () (tptp.aSet0 tptp.xO)) % 17.84/18.12 (define @t141 () (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 17.84/18.12 (define @t142 () (tptp.aElementOf0 tptp.xQ @t115)) % 17.84/18.12 (define @t143 () (tptp.szmzizndt0 tptp.xQ)) % 17.84/18.12 (define @t144 () (tptp.sdtmndt0 tptp.xQ @t143)) % 17.84/18.12 (define @t145 () (tptp.aSet0 tptp.xP)) % 17.84/18.12 (define @t146 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 17.84/18.12 (define @t147 () (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 17.84/18.12 (define @t148 () (tptp.sbrdtbr0 tptp.xP)) % 17.84/18.12 (define @t149 () (not (= @t148 tptp.xk))) % 17.84/18.12 (define @t150 () (@var "BOUND_VARIABLE_8257" $$unsorted)) % 17.84/18.12 (define @t151 () (tptp.isFinite0 @t150)) % 17.84/18.12 (define @t152 () (not (tptp.aSubsetOf0 @t150 @t1))) % 17.84/18.12 (define @t153 () (not @t2)) % 17.84/18.12 (define @t154 () (or @t153 @t12 @t152 @t151)) % 17.84/18.12 (define @t155 () (or @t152 @t151)) % 17.84/18.12 (define @t156 () (or @t153 @t12 @t155)) % 17.84/18.12 (define @t157 () (@list @t1 @t150)) % 17.84/18.12 (define @t158 () (forall @t157 @t156)) % 17.84/18.12 (define @t159 () (@list @t150)) % 17.84/18.12 (define @t160 () (forall @t159 @t156)) % 17.84/18.12 (define @t161 () (forall @t159 @t155)) % 17.84/18.12 (define @t162 () (@list @t5)) % 17.84/18.12 (define @t163 () (or @t153 @t12 @t161)) % 17.84/18.12 (define @t164 () (forall @t8 (or (not @t22) @t27))) % 17.84/18.12 (define @t165 () (or @t153 @t12 @t164)) % 17.84/18.12 (define @t166 () (= @t9 @t67)) % 17.84/18.12 (define @t167 () (or @t153 @t166)) % 17.84/18.12 (define @t168 () (tptp.sbrdtbr0 @t144)) % 17.84/18.12 (define @t169 () (tptp.aElementOf0 @t168 @t127)) % 17.84/18.12 (define @t170 () (tptp.isFinite0 @t144)) % 17.84/18.12 (define @t171 () (= @t170 @t169)) % 17.84/18.12 (define @t172 () (tptp.aSet0 @t144)) % 17.84/18.12 (define @t173 () (not @t172)) % 17.84/18.12 (define @t174 () (or @t173 @t171)) % 17.84/18.12 (define @t175 () (@list false false)) % 17.84/18.12 (define @t176 () (not @t56)) % 17.84/18.12 (define @t177 () (not @t58)) % 17.84/18.12 (define @t178 () (not @t54)) % 17.84/18.12 (define @t179 () (or @t178 @t177 @t176 @t32)) % 17.84/18.12 (define @t180 () (@var "BOUND_VARIABLE_8613" $$unsorted)) % 17.84/18.12 (define @t181 () (= @t66 (tptp.szszuzczcdt0 (tptp.sbrdtbr0 (tptp.sdtmndt0 @t1 @t180))))) % 17.84/18.12 (define @t182 () (not (tptp.aElementOf0 @t180 @t1))) % 17.84/18.12 (define @t183 () (or @t182 @t181)) % 17.84/18.12 (define @t184 () (or @t153 @t12 @t183)) % 17.84/18.12 (define @t185 () (forall (@list @t1 @t180) @t184)) % 17.84/18.12 (define @t186 () (@list @t180)) % 17.84/18.12 (define @t187 () (forall @t186 @t184)) % 17.84/18.12 (define @t188 () (forall @t186 @t183)) % 17.84/18.12 (define @t189 () (or @t153 @t12 @t188)) % 17.84/18.12 (define @t190 () (= @t66 @t71)) % 17.84/18.12 (define @t191 () (or @t70 @t190)) % 17.84/18.12 (define @t192 () (forall @t8 @t191)) % 17.84/18.12 (define @t193 () (or @t153 @t12 @t192)) % 17.84/18.12 (define @t194 () (or @t12 @t192)) % 17.84/18.12 (define @t195 () (or @t12 @t191)) % 17.84/18.12 (define @t196 () (or @t12 @t70 @t190)) % 17.84/18.12 (define @t197 () (@list tptp.xQ)) % 17.84/18.12 (define @t198 () (@var "BOUND_VARIABLE_8234" $$unsorted)) % 17.84/18.12 (define @t199 () (= (tptp.aSubsetOf0 @t198 @t1) (and (tptp.aSet0 @t198) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t198)) @t16))))) % 17.84/18.12 (define @t200 () (or @t153 @t199)) % 17.84/18.12 (define @t201 () (@list @t198)) % 17.84/18.12 (define @t202 () (forall @t201 @t200)) % 17.84/18.12 (define @t203 () (forall @t201 @t199)) % 17.84/18.12 (define @t204 () (or @t153 @t203)) % 17.84/18.12 (define @t205 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 17.84/18.12 (define @t206 () (tptp.aElementOf0 @t15 @t127)) % 17.84/18.12 (define @t207 () (tptp.aSet0 tptp.xQ)) % 17.84/18.12 (define @t208 () (and @t207 (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xQ)) @t206)))) % 17.84/18.12 (define @t209 () (tptp.aSubsetOf0 tptp.xQ @t127)) % 17.84/18.12 (define @t210 () (= @t209 @t208)) % 17.84/18.12 (define @t211 () (tptp.aSet0 @t127)) % 17.84/18.12 (define @t212 () (not @t211)) % 17.84/18.12 (define @t213 () (or @t212 @t210)) % 17.84/18.12 (define @t214 () (@list false)) % 17.84/18.12 (define @t215 () (tptp.sbrdtbr0 tptp.xQ)) % 17.84/18.12 (define @t216 () (tptp.aElementOf0 @t215 @t127)) % 17.84/18.12 (define @t217 () (tptp.isFinite0 tptp.xQ)) % 17.84/18.12 (define @t218 () (= @t217 @t216)) % 17.84/18.12 (define @t219 () (not @t207)) % 17.84/18.12 (define @t220 () (or @t219 @t218)) % 17.84/18.12 (define @t221 () (@var "BOUND_VARIABLE_8810" $$unsorted)) % 17.84/18.12 (define @t222 () (tptp.aElementOf0 @t38 @t221)) % 17.84/18.12 (define @t223 () (and @t85 (= @t5 @t84))) % 17.84/18.12 (define @t224 () (tptp.aSet0 @t221)) % 17.84/18.12 (define @t225 () (= (= @t90 @t221) (and @t224 (forall @t43 (= @t223 @t222))))) % 17.84/18.12 (define @t226 () (or @t153 @t177 @t225)) % 17.84/18.12 (define @t227 () (@list @t1 @t5 @t221)) % 17.84/18.12 (define @t228 () (forall @t43 (= @t222 @t223))) % 17.84/18.12 (define @t229 () (and @t224 @t228)) % 17.84/18.12 (define @t230 () (= (= @t221 @t90) @t229)) % 17.84/18.12 (define @t231 () (or @t153 @t177 @t230)) % 17.84/18.12 (define @t232 () (forall @t227 @t231)) % 17.84/18.12 (define @t233 () (@list @t221)) % 17.84/18.12 (define @t234 () (forall @t233 @t231)) % 17.84/18.12 (define @t235 () (forall @t233 @t230)) % 17.84/18.12 (define @t236 () (or @t153 @t177 @t235)) % 17.84/18.12 (define @t237 () (forall @t18 (= @t91 (and @t36 (forall @t43 (= @t42 @t223)))))) % 17.84/18.12 (define @t238 () (or @t153 @t177 @t237)) % 17.84/18.12 (define @t239 () (tptp.aSubsetOf0 @t38 @t126)) % 17.84/18.12 (define @t240 () (and @t239 (= @t119 @t84))) % 17.84/18.12 (define @t241 () (tptp.aElementOf0 @t38 @t115)) % 17.84/18.12 (define @t242 () (forall @t43 (= @t240 @t241))) % 17.84/18.12 (define @t243 () (tptp.aSet0 @t115)) % 17.84/18.12 (define @t244 () (and @t243 @t242)) % 17.84/18.12 (define @t245 () (tptp.slbdtsldtrb0 @t126 @t119)) % 17.84/18.12 (define @t246 () (= (= @t245 @t115) @t244)) % 17.84/18.12 (define @t247 () (tptp.aElementOf0 @t119 @t127)) % 17.84/18.12 (define @t248 () (not @t247)) % 17.84/18.12 (define @t249 () (tptp.aSet0 @t126)) % 17.84/18.12 (define @t250 () (not @t249)) % 17.84/18.12 (define @t251 () (or @t250 @t248 @t246)) % 17.84/18.12 (define @t252 () (forall @t227 (or @t153 (not (tptp.aElementOf0 @t5 @t127)) @t225))) % 17.84/18.12 (define @t253 () (forall @t43 (= @t241 (and @t239 (= @t84 @t119))))) % 17.84/18.12 (define @t254 () (and @t243 @t253)) % 17.84/18.12 (define @t255 () (= @t115 @t245)) % 17.84/18.12 (define @t256 () (= @t255 @t254)) % 17.84/18.12 (define @t257 () (or @t250 @t248 @t256)) % 17.84/18.12 (define @t258 () (and @t249 (forall @t18 (or (not (tptp.aElementOf0 @t15 @t126)) @t206)))) % 17.84/18.12 (define @t259 () (tptp.aSubsetOf0 @t126 @t127)) % 17.84/18.12 (define @t260 () (= @t259 @t258)) % 17.84/18.12 (define @t261 () (or @t212 @t260)) % 17.84/18.12 (define @t262 () (tptp.aSubsetOf0 tptp.xQ @t126)) % 17.84/18.12 (define @t263 () (and @t262 (= @t215 @t119))) % 17.84/18.12 (define @t264 () (= @t142 @t263)) % 17.84/18.12 (define @t265 () (= @t119 @t215)) % 17.84/18.12 (define @t266 () (and @t262 @t265)) % 17.84/18.12 (define @t267 () (= @t142 @t266)) % 17.84/18.12 (define @t268 () (tptp.szszuzczcdt0 @t168)) % 17.84/18.12 (define @t269 () (= @t215 @t268)) % 17.84/18.12 (define @t270 () (tptp.aElementOf0 @t143 tptp.xQ)) % 17.84/18.12 (define @t271 () (not @t270)) % 17.84/18.12 (define @t272 () (not @t217)) % 17.84/18.12 (define @t273 () (or @t219 @t272 @t271 @t269)) % 17.84/18.12 (define @t274 () (= tptp.xk @t148)) % 17.84/18.12 (define @t275 () (= tptp.xk @t168)) % 17.84/18.12 (define @t276 () (= @t119 @t268)) % 17.84/18.12 (define @t277 () (not @t276)) % 17.84/18.12 (define @t278 () (not @t169)) % 17.84/18.12 (define @t279 () (tptp.aElementOf0 tptp.xk @t127)) % 17.84/18.12 (define @t280 () (not @t279)) % 17.84/18.12 (define @t281 () (or @t280 @t278 @t277 @t275)) % 17.84/18.12 (define @t282 () (not @t170)) % 17.84/18.12 (define @t283 () (@list true false)) % 17.84/18.12 (define @t284 () (tptp.aSubsetOf0 @t144 tptp.xQ)) % 17.84/18.12 (define @t285 () (not @t284)) % 17.84/18.12 (define @t286 () (or @t219 @t272 @t285 @t170)) % 17.84/18.12 (define @t287 () (not @t286)) % 17.84/18.12 (define @t288 () (forall @t157 @t154)) % 17.84/18.12 (assume @p1 (forall @t3 (=> @t2 true))) % 17.84/18.12 (assume @p2 (forall @t3 (=> @t4 true))) % 17.84/18.12 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 17.84/18.12 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 17.84/18.12 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 17.84/18.12 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 17.84/18.12 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 17.84/18.12 (assume @p8 (forall @t3 (=> @t13 @t12))) % 17.84/18.12 (assume @p9 (forall @t3 (=> @t13 @t14))) % 17.84/18.12 (assume @p10 @t26) % 17.84/18.12 (assume @p11 @t31) % 17.84/18.12 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 17.84/18.12 (assume @p13 (forall @t34 (=> (and @t2 @t20) (=> (and @t33 @t22) @t32)))) % 17.84/18.12 (assume @p14 (forall @t37 (=> (and @t2 @t20 @t36) (=> (and @t33 @t35) (tptp.aSubsetOf0 @t1 @t15))))) % 17.84/18.12 (assume @p15 (forall @t34 (=> @t45 (forall @t18 (= (= @t15 @t44) (and @t36 (forall @t43 (= @t42 (and @t41 (or @t40 @t39)))))))))) % 17.84/18.12 (assume @p16 (forall @t34 (=> @t45 (forall @t18 (= (= @t15 @t46) (and @t36 (forall @t43 (= @t42 (and @t41 @t40 (not @t39)))))))))) % 17.84/18.12 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t46 @t5) @t1)))))) % 17.84/18.12 (assume @p18 (forall @t34 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t47 @t1) @t5))))) % 17.84/18.12 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t49 (tptp.isCountable0 @t47)))))) % 17.84/18.12 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t49 (tptp.isCountable0 @t50)))))) % 17.84/18.12 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isFinite0 @t47)))))) % 17.84/18.12 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isFinite0 @t50)))))) % 17.84/18.12 (assume @p23 (and @t52 (tptp.isCountable0 tptp.szNzAzT0))) % 17.84/18.12 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 17.84/18.12 (assume @p25 (forall @t3 (=> @t54 (and (tptp.aElementOf0 @t53 tptp.szNzAzT0) (not (= @t53 tptp.sz00)))))) % 17.84/18.12 (assume @p26 @t60) % 17.84/18.12 (assume @p27 (forall @t3 (=> @t54 (or @t61 (exists @t8 (and @t58 (= @t1 @t55))))))) % 17.84/18.12 (assume @p28 (forall @t3 (=> @t54 (not (= @t1 @t53))))) % 17.84/18.12 (assume @p29 (forall @t34 (=> @t59 (=> @t62 true)))) % 17.84/18.12 (assume @p30 (forall @t3 (=> @t54 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 17.84/18.12 (assume @p31 (forall @t3 (=> @t54 (not (tptp.sdtlseqdt0 @t53 tptp.sz00))))) % 17.84/18.12 (assume @p32 (forall @t34 (=> @t59 (= @t62 (tptp.sdtlseqdt0 @t53 @t55))))) % 17.84/18.12 (assume @p33 (forall @t3 (=> @t54 (tptp.sdtlseqdt0 @t1 @t53)))) % 17.84/18.12 (assume @p34 (forall @t3 (=> @t54 (tptp.sdtlseqdt0 @t1 @t1)))) % 17.84/18.12 (assume @p35 (forall @t34 (=> @t59 (=> (and @t62 @t63) @t32)))) % 17.84/18.12 (assume @p36 (forall @t37 (=> (and @t54 @t58 @t65) (=> (and @t62 @t64) (tptp.sdtlseqdt0 @t1 @t15))))) % 17.84/18.12 (assume @p37 (forall @t34 (=> @t59 (or @t62 (tptp.sdtlseqdt0 @t55 @t1))))) % 17.84/18.12 (assume @p38 (forall @t34 (=> @t59 (=> (tptp.iLess0 @t1 @t5) true)))) % 17.84/18.12 (assume @p39 (forall @t3 (=> @t54 (tptp.iLess0 @t1 @t53)))) % 17.84/18.12 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t66)))) % 17.84/18.12 (assume @p41 @t69) % 17.84/18.12 (assume @p42 (forall @t3 (=> @t2 (= (= @t66 tptp.sz00) @t10)))) % 17.84/18.12 (assume @p43 (forall @t3 (=> @t29 (forall @t8 (=> @t6 (=> @t70 (= (tptp.sbrdtbr0 @t44) (tptp.szszuzczcdt0 @t66)))))))) % 17.84/18.12 (assume @p44 @t76) % 17.84/18.12 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t66)))))) % 17.84/18.12 (assume @p46 (forall @t34 (=> @t77 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t66)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 17.84/18.12 (assume @p47 (forall @t3 (=> (and @t79 @t14) (forall @t8 (= (= @t5 @t78) (and @t7 (forall @t18 (=> @t16 @t64)))))))) % 17.84/18.12 (assume @p48 (forall @t3 (=> (and @t79 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 17.84/18.12 (assume @p49 (forall @t34 (=> (and @t79 @t81 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t78 @t5) (tptp.aElementOf0 @t80 @t1)) (= @t78 @t80))))) % 17.84/18.12 (assume @p50 (forall @t3 (=> @t54 (forall @t8 (= (= @t5 @t82) (and @t20 (forall @t18 (= @t17 (and @t65 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 17.84/18.12 (assume @p51 (forall @t3 (=> @t54 (tptp.isFinite0 @t82)))) % 17.84/18.12 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 17.84/18.12 (assume @p53 (forall @t34 (=> @t59 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t55)) (or (tptp.aElementOf0 @t1 @t83) @t32))))) % 17.84/18.12 (assume @p54 (forall @t34 (=> @t59 (= @t62 (tptp.aSubsetOf0 @t82 @t83))))) % 17.84/18.12 (assume @p55 (forall @t3 (=> (and @t79 @t9) (exists @t8 (and @t58 (tptp.aSubsetOf0 @t1 @t83)))))) % 17.84/18.12 (assume @p56 (forall @t3 (=> @t54 (= (tptp.sbrdtbr0 @t82) @t1)))) % 17.84/18.12 (assume @p57 @t95) % 17.84/18.12 (assume @p58 (forall @t3 (=> @t29 (forall @t8 (=> @t58 (tptp.isFinite0 @t90)))))) % 17.84/18.12 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t58 (not (= @t90 tptp.slcrc0))))))) % 17.84/18.12 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t58 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t90)))))) % 17.84/18.12 (assume @p61 (forall @t3 (=> @t54 (forall (@list @t5 @t15) (=> (and @t20 @t36 (not @t61)) (=> (and (tptp.aSubsetOf0 @t96 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t96 tptp.slcrc0))) @t35)))))) % 17.84/18.12 (assume @p62 (forall @t34 (=> @t77 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t90) (tptp.isFinite0 @t15)) (exists @t43 (and @t85 (tptp.isFinite0 @t38) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t38 @t5))))))))) % 17.84/18.12 (assume @p63 (forall @t3 (=> @t97 true))) % 17.84/18.12 (assume @p64 (forall @t3 (=> @t97 (tptp.aSet0 @t98)))) % 17.84/18.12 (assume @p65 (forall @t3 (=> @t97 (forall @t8 (=> @t100 (tptp.aElement0 @t99)))))) % 17.84/18.12 (assume @p66 (forall @t34 (=> @t104 (forall @t18 (= (= @t15 @t103) (and @t36 (forall @t43 (= @t42 (and @t102 (= @t101 @t5)))))))))) % 17.84/18.12 (assume @p67 (forall @t34 (=> @t104 (tptp.aSubsetOf0 @t103 @t98)))) % 17.84/18.12 (assume @p68 (forall @t3 (=> @t97 (forall @t8 (=> @t108 (forall @t18 (= (= @t15 @t107) (and @t36 (forall @t43 (= @t42 (exists @t106 (and (tptp.aElementOf0 @t105 @t5) (= (tptp.sdtlpdtrp0 @t1 @t105) @t38))))))))))))) % 17.84/18.12 (assume @p69 (forall @t3 (=> @t97 (forall @t8 (=> @t100 (tptp.aElementOf0 @t99 @t109)))))) % 17.84/18.12 (assume @p70 (forall @t3 (=> @t97 (forall @t8 (=> @t108 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t111 (= @t110 @t5) (forall @t43 (=> (tptp.aElementOf0 @t38 @t5) (= (tptp.sdtlpdtrp0 @t15 @t38) @t101))))))))))) % 17.84/18.12 (assume @p71 (forall @t3 (=> @t97 (forall @t8 (=> (and @t108 @t48) (=> (forall (@list @t15 @t38) (=> (and (tptp.aElementOf0 @t15 @t98) @t102 (not (= @t15 @t38))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t101)))) (tptp.isCountable0 @t107))))))) % 17.84/18.12 (assume @p72 (forall @t3 (=> @t97 (=> (and (tptp.isCountable0 @t98) (tptp.isFinite0 @t109)) (and (tptp.aElement0 @t112) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t112))))))) % 17.84/18.12 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 17.84/18.12 (assume @p74 @t113) % 17.84/18.12 (assume @p75 (and @t114 (tptp.isCountable0 tptp.xS))) % 17.84/18.12 (assume @p76 (and (tptp.aFunction0 tptp.xc) @t117 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t115) tptp.xT))) % 17.84/18.12 (assume @p77 (forall @t3 (=> @t54 (forall @t8 (=> (and @t81 @t48) (forall @t18 (=> (and @t111 (= @t110 @t96) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t110) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t43 (and (tptp.aElementOf0 @t38 tptp.xT) (exists @t106 (and (tptp.aSubsetOf0 @t105 @t5) (tptp.isCountable0 @t105) (forall (@list @t118) (=> (tptp.aElementOf0 @t118 (tptp.slbdtsldtrb0 @t105 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t118) @t38))))))))))))))) % 17.84/18.12 (assume @p78 (not (= tptp.xK tptp.sz00))) % 17.84/18.12 (assume @p79 (and @t120 (= @t119 tptp.xK))) % 17.84/18.12 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t127 tptp.szNzAzT0) (= @t126 tptp.xS) (forall @t3 (=> @t54 (=> @t125 (and (tptp.aSubsetOf0 @t121 @t124) (tptp.isCountable0 @t121))))))) % 17.84/18.12 (assume @p81 (forall @t3 (=> @t54 @t125))) % 17.84/18.12 (assume @p82 (forall @t34 (=> @t59 (=> @t63 (tptp.aSubsetOf0 @t122 @t128))))) % 17.84/18.12 (assume @p83 (forall @t34 (=> (and @t54 @t58 (not @t32)) (not (= @t123 (tptp.szmzizndt0 @t128)))))) % 17.84/18.12 (assume @p84 (forall @t3 (=> @t54 (forall @t8 (=> @t131 (tptp.aElementOf0 @t129 @t116)))))) % 17.84/18.12 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t54 (and (tptp.aFunction0 @t132) (= @t134 @t130) (forall @t8 (=> @t131 (= @t133 (tptp.sdtlpdtrp0 tptp.xc @t129))))))))) % 17.84/18.12 (assume @p86 (forall @t3 (=> @t54 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t132 @t134) tptp.xT)))) % 17.84/18.12 (assume @p87 (forall @t3 (=> @t54 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t124) @t48) (forall @t18 (=> (and @t36 (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t15 @t130)))))))) % 17.84/18.12 (assume @p88 (forall @t3 (=> @t54 (exists @t8 (and @t135 (exists @t18 (and (tptp.aSubsetOf0 @t15 @t124) (tptp.isCountable0 @t15) (forall @t43 (=> (and (tptp.aSet0 @t38) (tptp.aElementOf0 @t38 (tptp.slbdtsldtrb0 @t15 tptp.xk))) (= (tptp.sdtlpdtrp0 @t132 @t38) @t5)))))))))) % 17.84/18.12 (assume @p89 (forall @t3 (=> @t54 (exists @t8 (and @t135 (forall @t18 (=> (and @t36 (tptp.aElementOf0 @t15 @t136)) (= (tptp.sdtlpdtrp0 @t132 @t15) @t5)))))))) % 17.84/18.12 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t54 (= (tptp.sdtlpdtrp0 tptp.xe @t1) @t123))))) % 17.84/18.12 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t137 tptp.szNzAzT0) (forall @t3 (=> @t54 (forall @t8 (=> (and @t20 (tptp.aElementOf0 @t5 @t136)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t133))))))) % 17.84/18.12 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t137) tptp.xT)) % 17.84/18.12 (assume @p93 (and (tptp.aElementOf0 @t138 tptp.xT) (tptp.isCountable0 @t139))) % 17.84/18.12 (assume @p94 (and @t140 (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t139)))) % 17.84/18.12 (assume @p95 (and @t140 (tptp.isCountable0 tptp.xO))) % 17.84/18.12 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t58 (tptp.aElementOf0 @t5 @t139) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 17.84/18.12 (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 17.84/18.12 (assume @p98 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK))) % 17.84/18.12 (assume @p99 (and (tptp.aSubsetOf0 tptp.xQ tptp.xO) (not (= tptp.xQ tptp.slcrc0)))) % 17.84/18.12 (assume @p100 @t141) % 17.84/18.12 (assume @p101 @t142) % 17.84/18.12 (assume @p102 (= tptp.xp @t143)) % 17.84/18.12 (assume @p103 (and @t145 (= tptp.xP @t144))) % 17.84/18.12 (assume @p104 @t146) % 17.84/18.12 (assume @p105 (tptp.aElementOf0 tptp.xp tptp.xO)) % 17.84/18.12 (assume @p106 @t147) % 17.84/18.12 (assume @p107 (tptp.aSubsetOf0 tptp.xP tptp.xO)) % 17.84/18.12 (assume @p108 @t149) % 17.84/18.12 (assume @p109 true) % 17.84/18.12 (step @p110 :rule aci_norm :args ((= @t156 @t154))) % 17.84/18.12 (step @p111 :rule cong :premises (@p110) :args (@t158)) % 17.84/18.12 (step @p112 :rule quant-merge-prenex :args ((= (forall @t3 @t160) @t158))) % 17.84/18.12 (step @p113 :rule alpha_equiv :args (@t161 (@list @t150) @t162)) % 17.84/18.12 (step @p114 :rule refl :args (@t12)) % 17.84/18.12 (step @p115 :rule refl :args (@t153)) % 17.84/18.12 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args (@t163)) % 17.84/18.12 (step @p117 :rule quant-miniscope-or :args ((= @t160 @t163))) % 17.84/18.12 (step @p118 :rule trans :premises (@p117 @p116)) % 17.84/18.12 (step @p119 :rule symm :premises (@p118)) % 17.84/18.12 (step @p120 :rule cong :premises (@p119) :args ((forall @t3 @t165))) % 17.84/18.12 (step @p121 :rule trans :premises (@p120 @p112)) % 17.84/18.12 (step @p122 :rule trans :premises (@p121 @p111)) % 17.84/18.12 (step @p123 :rule aci_norm :args ((= (or (or @t153 @t12) @t164) @t165))) % 17.84/18.12 (step @p124 :rule refl :args (@t164)) % 17.84/18.12 (step @p125 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 17.84/18.12 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t29) @t164))) % 17.84/18.12 (step @p127 :rule trans :premises (@p126 @p123)) % 17.84/18.12 (step @p128 :rule bool-impl-elim :args (@t29 @t164)) % 17.84/18.12 (step @p129 :rule trans :premises (@p128 @p127)) % 17.84/18.12 (step @p130 :rule cong :premises (@p129) :args ((forall @t3 (=> @t29 @t164)))) % 17.84/18.12 (step @p131 :rule trans :premises (@p130 @p122)) % 17.84/18.12 (step @p132 :rule bool-impl-elim :args (@t22 @t27)) % 17.84/18.12 (step @p133 :rule cong :premises (@p132) :args (@t28)) % 17.84/18.12 (step @p134 :rule refl :args (@t29)) % 17.84/18.12 (step @p135 :rule cong :premises (@p134 @p133) :args (@t30)) % 17.84/18.12 (step @p136 :rule cong :premises (@p135) :args (@t31)) % 17.84/18.12 (step @p137 :rule trans :premises (@p136 @p131)) % 17.84/18.12 (step @p138 :rule eq_resolve :premises (@p11 @p137)) % 17.84/18.12 (step @p139 :rule and_elim :premises (@p80) :args (1)) % 17.84/18.12 (step @p140 :rule symm :premises (@p139)) % 17.84/18.12 (step @p141 :rule refl :args (@t66)) % 17.84/18.12 (step @p142 :rule cong :premises (@p141 @p140) :args (@t67)) % 17.84/18.12 (step @p143 :rule refl :args (@t9)) % 17.84/18.12 (step @p144 :rule cong :premises (@p143 @p142) :args (@t166)) % 17.84/18.12 (step @p145 :rule refl :args (@t153)) % 17.84/18.12 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t167)) % 17.84/18.12 (step @p147 :rule cong :premises (@p146) :args ((forall @t3 @t167))) % 17.84/18.12 (step @p148 :rule bool-impl-elim :args (@t2 @t166)) % 17.84/18.12 (step @p149 :rule cong :premises (@p148) :args ((forall @t3 (=> @t2 @t166)))) % 17.84/18.12 (step @p150 :rule eq-symm :args (@t67 @t9)) % 17.84/18.12 (step @p151 :rule refl :args (@t2)) % 17.84/18.12 (step @p152 :rule cong :premises (@p151 @p150) :args (@t68)) % 17.84/18.12 (step @p153 :rule cong :premises (@p152) :args (@t69)) % 17.84/18.12 (step @p154 :rule trans :premises (@p153 @p149)) % 17.84/18.12 (step @p155 :rule trans :premises (@p154 @p147)) % 17.84/18.12 (step @p156 :rule eq_resolve :premises (@p41 @p155)) % 17.84/18.12 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t144))) % 17.84/18.12 (step @p158 :rule and_elim :premises (@p103) :args (1)) % 17.84/18.12 (step @p159 :rule cong :premises (@p158) :args (@t145)) % 17.84/18.12 (step @p160 :rule and_elim :premises (@p103) :args (0)) % 17.84/18.12 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 17.84/18.12 (step @p162 :rule cnf_or_pos :args (@t174)) % 17.84/18.12 (step @p163 :rule reordering :premises (@p162) :args ((or @t173 @t171 (not @t174)))) % 17.84/18.12 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p157) :args (@t171 @t175 (@list @t172 @t174))) % 17.84/18.12 (step @p165 :rule refl :args (@t32)) % 17.84/18.12 (step @p166 :rule refl :args (@t176)) % 17.84/18.12 (step @p167 :rule refl :args (@t5)) % 17.84/18.12 (step @p168 :rule cong :premises (@p167 @p140) :args (@t58)) % 17.84/18.12 (step @p169 :rule cong :premises (@p168) :args (@t177)) % 17.84/18.12 (step @p170 :rule refl :args (@t1)) % 17.84/18.12 (step @p171 :rule cong :premises (@p170 @p140) :args (@t54)) % 17.84/18.12 (step @p172 :rule cong :premises (@p171) :args (@t178)) % 17.84/18.12 (step @p173 :rule nary_cong :premises (@p172 @p169 @p166 @p165) :args (@t179)) % 17.84/18.12 (step @p174 :rule cong :premises (@p173) :args ((forall @t34 @t179))) % 17.84/18.12 (step @p175 :rule aci_norm :args ((= (or (or @t178 @t177) (or @t176 @t32)) @t179))) % 17.84/18.12 (step @p176 :rule bool-impl-elim :args (@t56 @t32)) % 17.84/18.12 (step @p177 :rule bool-and-de-morgan :args (@t54 @t58 true)) % 17.84/18.12 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or (not @t59) @t57))) % 17.84/18.12 (step @p179 :rule trans :premises (@p178 @p175)) % 17.84/18.12 (step @p180 :rule bool-impl-elim :args (@t59 @t57)) % 17.84/18.12 (step @p181 :rule trans :premises (@p180 @p179)) % 17.84/18.12 (step @p182 :rule cong :premises (@p181) :args (@t60)) % 17.84/18.12 (step @p183 :rule trans :premises (@p182 @p174)) % 17.84/18.12 (step @p184 :rule eq_resolve :premises (@p26 @p183)) % 17.84/18.12 (step @p185 :rule instantiate :premises (@p184) :args ((@list tptp.xk @t168))) % 17.84/18.12 (step @p186 :rule aci_norm :args ((= @t184 (or @t153 @t12 @t182 @t181)))) % 17.84/18.12 (step @p187 :rule cong :premises (@p186) :args (@t185)) % 17.84/18.12 (step @p188 :rule quant-merge-prenex :args ((= (forall @t3 @t187) @t185))) % 17.84/18.12 (step @p189 :rule alpha_equiv :args (@t188 (@list @t180) @t162)) % 17.84/18.12 (step @p190 :rule nary_cong :premises (@p115 @p114 @p189) :args (@t189)) % 17.84/18.12 (step @p191 :rule quant-miniscope-or :args ((= @t187 @t189))) % 17.84/18.12 (step @p192 :rule trans :premises (@p191 @p190)) % 17.84/18.12 (step @p193 :rule symm :premises (@p192)) % 17.84/18.12 (step @p194 :rule cong :premises (@p193) :args ((forall @t3 @t193))) % 17.84/18.12 (step @p195 :rule trans :premises (@p194 @p188)) % 17.84/18.12 (step @p196 :rule trans :premises (@p195 @p187)) % 17.84/18.12 (step @p197 :rule aci_norm :args ((= (or @t153 @t194) @t193))) % 17.84/18.12 (step @p198 :rule bool-impl-elim :args (@t2 @t194)) % 17.84/18.12 (step @p199 :rule trans :premises (@p198 @p197)) % 17.84/18.12 (step @p200 :rule cong :premises (@p199) :args ((forall @t3 (=> @t2 @t194)))) % 17.84/18.12 (step @p201 :rule trans :premises (@p200 @p196)) % 17.84/18.12 (step @p202 :rule quant-miniscope-or :args ((= (forall @t8 @t195) @t194))) % 17.84/18.12 (step @p203 :rule aci_norm :args ((= @t196 @t195))) % 17.84/18.12 (step @p204 :rule cong :premises (@p203) :args ((forall @t8 @t196))) % 17.84/18.12 (step @p205 :rule trans :premises (@p204 @p202)) % 17.84/18.12 (step @p206 :rule aci_norm :args ((= (or (or @t12 @t70) @t190) @t196))) % 17.84/18.12 (step @p207 :rule refl :args (@t190)) % 17.84/18.12 (step @p208 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 17.84/18.12 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or (not @t72) @t190))) % 17.84/18.12 (step @p210 :rule trans :premises (@p209 @p206)) % 17.84/18.12 (step @p211 :rule bool-impl-elim :args (@t72 @t190)) % 17.84/18.12 (step @p212 :rule trans :premises (@p211 @p210)) % 17.84/18.12 (step @p213 :rule cong :premises (@p212) :args ((forall @t8 (=> @t72 @t190)))) % 17.84/18.12 (step @p214 :rule trans :premises (@p213 @p205)) % 17.84/18.12 (step @p215 :rule eq-symm :args (@t71 @t66)) % 17.84/18.12 (step @p216 :rule refl :args (@t72)) % 17.84/18.12 (step @p217 :rule cong :premises (@p216 @p215) :args (@t73)) % 17.84/18.12 (step @p218 :rule cong :premises (@p217) :args (@t74)) % 17.84/18.12 (step @p219 :rule trans :premises (@p218 @p214)) % 17.84/18.12 (step @p220 :rule cong :premises (@p151 @p219) :args (@t75)) % 17.84/18.12 (step @p221 :rule cong :premises (@p220) :args (@t76)) % 17.84/18.12 (step @p222 :rule trans :premises (@p221 @p201)) % 17.84/18.12 (step @p223 :rule eq_resolve :premises (@p44 @p222)) % 17.84/18.12 (step @p224 :rule instantiate :premises (@p223) :args ((@list tptp.xQ @t143))) % 17.84/18.12 (step @p225 :rule instantiate :premises (@p156) :args (@t197)) % 17.84/18.12 (step @p226 :rule quant-merge-prenex :args ((= (forall @t3 @t202) (forall (@list @t1 @t198) @t200)))) % 17.84/18.12 (step @p227 :rule alpha_equiv :args (@t203 (@list @t198) @t162)) % 17.84/18.12 (step @p228 :rule nary_cong :premises (@p115 @p227) :args (@t204)) % 17.84/18.12 (step @p229 :rule quant-miniscope-or :args ((= @t202 @t204))) % 17.84/18.12 (step @p230 :rule trans :premises (@p229 @p228)) % 17.84/18.12 (step @p231 :rule symm :premises (@p230)) % 17.84/18.12 (step @p232 :rule cong :premises (@p231) :args ((forall @t3 (or @t153 @t205)))) % 17.84/18.12 (step @p233 :rule trans :premises (@p232 @p226)) % 17.84/18.12 (step @p234 :rule bool-impl-elim :args (@t2 @t205)) % 17.84/18.12 (step @p235 :rule cong :premises (@p234) :args ((forall @t3 (=> @t2 @t205)))) % 17.84/18.12 (step @p236 :rule trans :premises (@p235 @p233)) % 17.84/18.12 (step @p237 :rule bool-impl-elim :args (@t17 @t16)) % 17.84/18.12 (step @p238 :rule cong :premises (@p237) :args (@t19)) % 17.84/18.12 (step @p239 :rule refl :args (@t20)) % 17.84/18.12 (step @p240 :rule nary_cong :premises (@p239 @p238) :args (@t21)) % 17.84/18.12 (step @p241 :rule refl :args (@t22)) % 17.84/18.12 (step @p242 :rule cong :premises (@p241 @p240) :args (@t23)) % 17.84/18.12 (step @p243 :rule cong :premises (@p242) :args (@t24)) % 17.84/18.12 (step @p244 :rule cong :premises (@p151 @p243) :args (@t25)) % 17.84/18.12 (step @p245 :rule cong :premises (@p244) :args (@t26)) % 17.84/18.12 (step @p246 :rule trans :premises (@p245 @p236)) % 17.84/18.12 (step @p247 :rule eq_resolve :premises (@p10 @p246)) % 17.84/18.12 (step @p248 :rule instantiate :premises (@p247) :args ((@list @t127 tptp.xQ))) % 17.84/18.12 (step @p249 :rule cong :premises (@p140) :args (@t52)) % 17.84/18.12 (step @p250 :rule and_elim :premises (@p23) :args (0)) % 17.84/18.12 (step @p251 :rule eq_resolve :premises (@p250 @p249)) % 17.84/18.12 (step @p252 :rule cnf_or_pos :args (@t213)) % 17.84/18.12 (step @p253 :rule reordering :premises (@p252) :args ((or @t212 @t210 (not @t213)))) % 17.84/18.12 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p248) :args (@t210 @t175 (@list @t211 @t213))) % 17.84/18.12 (step @p255 :rule refl :args (tptp.xQ)) % 17.84/18.12 (step @p256 :rule cong :premises (@p255 @p140) :args (@t141)) % 17.84/18.12 (step @p257 :rule eq_resolve :premises (@p100 @p256)) % 17.84/18.12 (step @p258 :rule cnf_equiv_pos1 :args (@t210)) % 17.84/18.12 (step @p259 :rule reordering :premises (@p258) :args ((or (not @t209) @t208 (not @t210)))) % 17.84/18.12 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p254) :args (@t208 @t175 (@list @t209 @t210))) % 17.84/18.12 (step @p261 :rule cnf_and_pos :args (@t208 0)) % 17.84/18.12 (step @p262 :rule reordering :premises (@p261) :args ((or @t207 (not @t208)))) % 17.84/18.12 (step @p263 :rule chain_m_resolution :premises (@p262 @p260) :args (@t207 @t214 (@list @t208))) % 17.84/18.12 (step @p264 :rule cnf_or_pos :args (@t220)) % 17.84/18.12 (step @p265 :rule reordering :premises (@p264) :args ((or @t219 @t218 (not @t220)))) % 17.84/18.12 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p225) :args (@t218 @t175 (@list @t207 @t220))) % 17.84/18.12 (step @p267 :rule and_elim :premises (@p79) :args (1)) % 17.84/18.12 (step @p268 :rule symm :premises (@p267)) % 17.84/18.12 (step @p269 :rule cong :premises (@p268 @p140) :args (@t113)) % 17.84/18.12 (step @p270 :rule eq_resolve :premises (@p74 @p269)) % 17.84/18.12 (step @p271 :rule true_intro :premises (@p270)) % 17.84/18.12 (step @p272 :rule refl :args (@t127)) % 17.84/18.12 (step @p273 :rule refl :args (@t225)) % 17.84/18.12 (step @p274 :rule nary_cong :premises (@p145 @p169 @p273) :args (@t226)) % 17.84/18.12 (step @p275 :rule cong :premises (@p274) :args ((forall @t227 @t226))) % 17.84/18.12 (step @p276 :rule eq-symm :args (@t222 @t223)) % 17.84/18.12 (step @p277 :rule cong :premises (@p276) :args (@t228)) % 17.84/18.12 (step @p278 :rule refl :args (@t224)) % 17.84/18.12 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t229)) % 17.84/18.12 (step @p280 :rule eq-symm :args (@t221 @t90)) % 17.84/18.12 (step @p281 :rule cong :premises (@p280 @p279) :args (@t230)) % 17.84/18.12 (step @p282 :rule refl :args (@t177)) % 17.84/18.12 (step @p283 :rule nary_cong :premises (@p145 @p282 @p281) :args (@t231)) % 17.84/18.12 (step @p284 :rule cong :premises (@p283) :args (@t232)) % 17.84/18.12 (step @p285 :rule quant-merge-prenex :args ((= (forall @t34 @t234) @t232))) % 17.84/18.12 (step @p286 :rule alpha_equiv :args (@t235 (@list @t221) (@list @t15))) % 17.84/18.12 (step @p287 :rule refl :args (@t177)) % 17.84/18.12 (step @p288 :rule nary_cong :premises (@p115 @p287 @p286) :args (@t236)) % 17.84/18.12 (step @p289 :rule quant-miniscope-or :args ((= @t234 @t236))) % 17.84/18.12 (step @p290 :rule trans :premises (@p289 @p288)) % 17.84/18.12 (step @p291 :rule symm :premises (@p290)) % 17.84/18.12 (step @p292 :rule cong :premises (@p291) :args ((forall @t34 @t238))) % 17.84/18.12 (step @p293 :rule trans :premises (@p292 @p285)) % 17.84/18.12 (step @p294 :rule trans :premises (@p293 @p284)) % 17.84/18.12 (step @p295 :rule aci_norm :args ((= (or (or @t153 @t177) @t237) @t238))) % 17.84/18.12 (step @p296 :rule refl :args (@t237)) % 17.84/18.12 (step @p297 :rule bool-and-de-morgan :args (@t2 @t58 true)) % 17.84/18.12 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or (not @t77) @t237))) % 17.84/18.12 (step @p299 :rule trans :premises (@p298 @p295)) % 17.84/18.12 (step @p300 :rule bool-impl-elim :args (@t77 @t237)) % 17.84/18.12 (step @p301 :rule trans :premises (@p300 @p299)) % 17.84/18.12 (step @p302 :rule cong :premises (@p301) :args ((forall @t34 (=> @t77 @t237)))) % 17.84/18.12 (step @p303 :rule trans :premises (@p302 @p294)) % 17.84/18.12 (step @p304 :rule eq-symm :args (@t84 @t5)) % 17.84/18.12 (step @p305 :rule refl :args (@t85)) % 17.84/18.12 (step @p306 :rule nary_cong :premises (@p305 @p304) :args (@t86)) % 17.84/18.12 (step @p307 :rule refl :args (@t42)) % 17.84/18.12 (step @p308 :rule cong :premises (@p307 @p306) :args (@t87)) % 17.84/18.12 (step @p309 :rule cong :premises (@p308) :args (@t88)) % 17.84/18.12 (step @p310 :rule refl :args (@t36)) % 17.84/18.12 (step @p311 :rule nary_cong :premises (@p310 @p309) :args (@t89)) % 17.84/18.12 (step @p312 :rule refl :args (@t91)) % 17.84/18.12 (step @p313 :rule cong :premises (@p312 @p311) :args (@t92)) % 17.84/18.12 (step @p314 :rule cong :premises (@p313) :args (@t93)) % 17.84/18.12 (step @p315 :rule refl :args (@t77)) % 17.84/18.12 (step @p316 :rule cong :premises (@p315 @p314) :args (@t94)) % 17.84/18.12 (step @p317 :rule cong :premises (@p316) :args (@t95)) % 17.84/18.12 (step @p318 :rule trans :premises (@p317 @p303)) % 17.84/18.12 (step @p319 :rule trans :premises (@p318 @p275)) % 17.84/18.12 (step @p320 :rule eq_resolve :premises (@p57 @p319)) % 17.84/18.12 (step @p321 :rule eq-symm :args (@t119 @t84)) % 17.84/18.12 (step @p322 :rule refl :args (@t239)) % 17.84/18.12 (step @p323 :rule nary_cong :premises (@p322 @p321) :args (@t240)) % 17.84/18.12 (step @p324 :rule refl :args (@t241)) % 17.84/18.12 (step @p325 :rule cong :premises (@p324 @p323) :args ((= @t241 @t240))) % 17.84/18.12 (step @p326 :rule eq-symm :args (@t240 @t241)) % 17.84/18.12 (step @p327 :rule trans :premises (@p326 @p325)) % 17.84/18.12 (step @p328 :rule cong :premises (@p327) :args (@t242)) % 17.84/18.12 (step @p329 :rule refl :args (@t243)) % 17.84/18.12 (step @p330 :rule nary_cong :premises (@p329 @p328) :args (@t244)) % 17.84/18.12 (step @p331 :rule eq-symm :args (@t245 @t115)) % 17.84/18.12 (step @p332 :rule cong :premises (@p331 @p330) :args (@t246)) % 17.84/18.12 (step @p333 :rule refl :args (@t248)) % 17.84/18.12 (step @p334 :rule refl :args (@t250)) % 17.84/18.12 (step @p335 :rule nary_cong :premises (@p334 @p333 @p332) :args (@t251)) % 17.84/18.12 (step @p336 :rule refl :args (@t252)) % 17.84/18.12 (step @p337 :rule cong :premises (@p336 @p335) :args ((=> @t252 @t251))) % 17.84/18.12 (assume-push @p435 @t252) % 17.84/18.12 (step @p339 :rule instantiate :premises (@p320) :args ((@list @t126 @t119 @t115))) % 17.84/18.12 (step-pop @p436 :rule scope :premises (@p339)) % 17.84/18.12 (step @p340 :rule process_scope :premises (@p436) :args (@t251)) % 17.84/18.12 (step @p342 :rule eq_resolve :premises (@p340 @p337)) % 17.84/18.12 (step @p343 :rule implies_elim :premises (@p342)) % 17.84/18.12 (step @p344 :rule chain_m_resolution :premises (@p343 @p320) :args (@t257 @t214 (@list @t252))) % 17.84/18.12 (step @p345 :rule instantiate :premises (@p247) :args ((@list @t127 @t126))) % 17.84/18.12 (step @p346 :rule cnf_or_pos :args (@t261)) % 17.84/18.12 (step @p347 :rule reordering :premises (@p346) :args ((or @t212 @t260 (not @t261)))) % 17.84/18.12 (step @p348 :rule chain_m_resolution :premises (@p347 @p251 @p345) :args (@t260 @t175 (@list @t211 @t261))) % 17.84/18.12 (step @p349 :rule and_elim :premises (@p80) :args (2)) % 17.84/18.12 (step @p350 :rule symm :premises (@p349)) % 17.84/18.12 (step @p351 :rule cong :premises (@p350 @p140) :args (@t114)) % 17.84/18.12 (step @p352 :rule and_elim :premises (@p75) :args (0)) % 17.84/18.12 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 17.84/18.12 (step @p354 :rule cnf_equiv_pos1 :args (@t260)) % 17.84/18.12 (step @p355 :rule reordering :premises (@p354) :args ((or (not @t259) @t258 (not @t260)))) % 17.84/18.12 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p348) :args (@t258 @t175 (@list @t259 @t260))) % 17.84/18.12 (step @p357 :rule cnf_and_pos :args (@t258 0)) % 17.84/18.12 (step @p358 :rule reordering :premises (@p357) :args ((or @t249 (not @t258)))) % 17.84/18.12 (step @p359 :rule chain_m_resolution :premises (@p358 @p356) :args (@t249 @t214 (@list @t258))) % 17.84/18.12 (step @p360 :rule cnf_or_pos :args (@t257)) % 17.84/18.12 (step @p361 :rule reordering :premises (@p360) :args ((or @t248 @t250 @t256 (not @t257)))) % 17.84/18.12 (step @p362 :rule chain_m_resolution :premises (@p361 @p270 @p359 @p344) :args (@t256 (@list false false false) (@list @t247 @t249 @t257))) % 17.84/18.12 (step @p363 :rule cong :premises (@p350 @p268) :args (@t116)) % 17.84/18.12 (step @p364 :rule refl :args (@t115)) % 17.84/18.12 (step @p365 :rule cong :premises (@p364 @p363) :args (@t117)) % 17.84/18.12 (step @p366 :rule and_elim :premises (@p76) :args (1)) % 17.84/18.12 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 17.84/18.12 (step @p368 :rule cnf_equiv_pos1 :args (@t256)) % 17.84/18.12 (step @p369 :rule reordering :premises (@p368) :args ((or (not @t255) @t254 (not @t256)))) % 17.84/18.12 (step @p370 :rule chain_m_resolution :premises (@p369 @p367 @p362) :args (@t254 @t175 (@list @t255 @t256))) % 17.84/18.12 (step @p371 :rule cnf_and_pos :args (@t254 1)) % 17.84/18.12 (step @p372 :rule reordering :premises (@p371) :args ((or @t253 (not @t254)))) % 17.84/18.12 (step @p373 :rule chain_m_resolution :premises (@p372 @p370) :args (@t253 @t214 (@list @t254))) % 17.84/18.12 (step @p374 :rule eq-symm :args (@t215 @t119)) % 17.84/18.12 (step @p375 :rule refl :args (@t262)) % 17.84/18.12 (step @p376 :rule nary_cong :premises (@p375 @p374) :args (@t263)) % 17.84/18.12 (step @p377 :rule refl :args (@t142)) % 17.84/18.12 (step @p378 :rule cong :premises (@p377 @p376) :args (@t264)) % 17.84/18.12 (step @p379 :rule refl :args (@t253)) % 17.84/18.12 (step @p380 :rule cong :premises (@p379 @p378) :args ((=> @t253 @t264))) % 17.84/18.12 (assume-push @p437 @t253) % 17.84/18.12 (step @p382 :rule instantiate :premises (@p373) :args (@t197)) % 17.84/18.12 (step-pop @p438 :rule scope :premises (@p382)) % 17.84/18.12 (step @p383 :rule process_scope :premises (@p438) :args (@t264)) % 17.84/18.12 (step @p385 :rule eq_resolve :premises (@p383 @p380)) % 17.84/18.12 (step @p386 :rule implies_elim :premises (@p385)) % 17.84/18.12 (step @p387 :rule chain_m_resolution :premises (@p386 @p373) :args (@t267 @t214 (@list @t253))) % 17.84/18.12 (step @p388 :rule cnf_equiv_pos1 :args (@t267)) % 17.84/18.12 (step @p389 :rule reordering :premises (@p388) :args ((or (not @t142) @t266 (not @t267)))) % 17.84/18.12 (step @p390 :rule chain_m_resolution :premises (@p389 @p101 @p387) :args (@t266 @t175 (@list @t142 @t267))) % 17.84/18.12 (step @p391 :rule cnf_and_pos :args (@t266 1)) % 17.84/18.12 (step @p392 :rule reordering :premises (@p391) :args ((or @t265 (not @t266)))) % 17.84/18.12 (step @p393 :rule chain_m_resolution :premises (@p392 @p390) :args (@t265 @t214 (@list @t266))) % 17.84/18.12 (step @p394 :rule symm :premises (@p393)) % 17.84/18.12 (step @p395 :rule cong :premises (@p394 @p272) :args (@t216)) % 17.84/18.12 (step @p396 :rule trans :premises (@p395 @p271)) % 17.84/18.12 (step @p397 :rule true_elim :premises (@p396)) % 17.84/18.12 (step @p398 :rule cnf_equiv_pos2 :args (@t218)) % 17.84/18.12 (step @p399 :rule reordering :premises (@p398) :args ((or @t217 (not @t216) (not @t218)))) % 17.84/18.12 (step @p400 :rule chain_m_resolution :premises (@p399 @p397 @p266) :args (@t217 @t175 (@list @t216 @t218))) % 17.84/18.12 (step @p401 :rule cong :premises (@p102 @p255) :args (@t146)) % 17.84/18.12 (step @p402 :rule eq_resolve :premises (@p104 @p401)) % 17.84/18.12 (step @p403 :rule cnf_or_pos :args (@t273)) % 17.84/18.12 (step @p404 :rule reordering :premises (@p403) :args ((or @t271 @t219 @t272 @t269 (not @t273)))) % 17.84/18.12 (step @p405 :rule chain_m_resolution :premises (@p404 @p402 @p263 @p400 @p224) :args (@t269 (@list false false false false) (@list @t270 @t207 @t217 @t273))) % 17.84/18.12 (step @p406 :rule trans :premises (@p393 @p405)) % 17.84/18.12 (step @p407 :rule refl :args (tptp.xk)) % 17.84/18.12 (step @p408 :rule cong :premises (@p407 @p140) :args (@t120)) % 17.84/18.12 (step @p409 :rule and_elim :premises (@p79) :args (0)) % 17.84/18.12 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 17.84/18.12 (step @p411 :rule cong :premises (@p158) :args (@t148)) % 17.84/18.12 (step @p412 :rule cong :premises (@p407 @p411) :args (@t274)) % 17.84/18.12 (step @p413 :rule cong :premises (@p412) :args ((not @t274))) % 17.84/18.12 (step @p414 :rule eq-symm :args (@t148 tptp.xk)) % 17.84/18.12 (step @p415 :rule cong :premises (@p414) :args (@t149)) % 17.84/18.12 (step @p416 :rule trans :premises (@p415 @p413)) % 17.84/18.12 (step @p417 :rule eq_resolve :premises (@p108 @p416)) % 17.84/18.12 (step @p418 :rule cnf_or_pos :args (@t281)) % 17.84/18.12 (step @p419 :rule reordering :premises (@p418) :args ((or @t275 @t280 @t278 @t277 (not @t281)))) % 17.84/18.12 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p410 @p406 @p185) :args (@t278 (@list true false false false) (@list @t275 @t279 @t276 @t281))) % 17.84/18.12 (step @p421 :rule cnf_equiv_pos1 :args (@t171)) % 17.84/18.12 (step @p422 :rule reordering :premises (@p421) :args ((or @t282 @t169 (not @t171)))) % 17.84/18.12 (step @p423 :rule chain_m_resolution :premises (@p422 @p420 @p164) :args (@t282 @t283 (@list @t169 @t171))) % 17.84/18.12 (step @p424 :rule cong :premises (@p158 @p255) :args (@t147)) % 17.84/18.12 (step @p425 :rule eq_resolve :premises (@p106 @p424)) % 17.84/18.12 (step @p426 :rule cnf_or_pos :args (@t286)) % 17.84/18.12 (step @p427 :rule reordering :premises (@p426) :args ((or @t285 @t219 @t272 @t170 @t287))) % 17.84/18.12 (step @p428 :rule chain_m_resolution :premises (@p427 @p425 @p263 @p400 @p423) :args (@t287 (@list false false false true) (@list @t284 @t207 @t217 @t170))) % 17.84/18.12 (assume-push @p439 @t288) % 17.84/18.12 (step @p430 :rule instantiate :premises (@p138) :args ((@list tptp.xQ @t144))) % 17.84/18.12 (step-pop @p440 :rule scope :premises (@p430)) % 17.84/18.12 (step @p431 :rule process_scope :premises (@p440) :args (@t286)) % 17.84/18.12 (step @p433 :rule implies_elim :premises (@p431)) % 17.84/18.12 (step @p434 false :rule chain_m_resolution :premises (@p433 @p428 @p138) :args (false @t283 (@list @t286 @t288))) % 17.84/18.12 ) % 17.84/18.12 % SZS output end Proof % 17.84/18.12 % cvc5 exiting %------------------------------------------------------------------------------