%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM604+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 : n010.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 08:39:59 AM UTC 2026 % Result : Theorem 2.12s 2.30s % Output : Proof 2.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : NUM604+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n010.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 11:35:55 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 2.12/2.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.12/2.30 % SZS status Theorem % 2.12/2.30 % SZS output start Proof % 2.12/2.30 ( % 2.12/2.30 (declare-sort $$unsorted 0) % 2.12/2.30 (declare-const tptp.xi $$unsorted) % 2.12/2.30 (declare-const tptp.xx $$unsorted) % 2.12/2.30 (declare-const tptp.xe $$unsorted) % 2.12/2.30 (declare-const tptp.xC $$unsorted) % 2.12/2.30 (declare-const tptp.xN $$unsorted) % 2.12/2.30 (declare-const tptp.sz00 $$unsorted) % 2.12/2.30 (declare-const tptp.xc $$unsorted) % 2.12/2.30 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.szNzAzT0 $$unsorted) % 2.12/2.30 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.xd $$unsorted) % 2.12/2.30 (declare-const tptp.xk $$unsorted) % 2.12/2.30 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.xK $$unsorted) % 2.12/2.30 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.xT $$unsorted) % 2.12/2.30 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.xO $$unsorted) % 2.12/2.30 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.xS $$unsorted) % 2.12/2.30 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.slcrc0 $$unsorted) % 2.12/2.30 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.30 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.30 (define @t1 () (@var "W0" $$unsorted)) % 2.12/2.30 (define @t2 () (tptp.aSet0 @t1)) % 2.12/2.30 (define @t3 () (@list @t1)) % 2.12/2.30 (define @t4 () (tptp.aElement0 @t1)) % 2.12/2.30 (define @t5 () (@var "W1" $$unsorted)) % 2.12/2.30 (define @t6 () (tptp.aElement0 @t5)) % 2.12/2.30 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 2.12/2.30 (define @t8 () (@list @t5)) % 2.12/2.30 (define @t9 () (tptp.isFinite0 @t1)) % 2.12/2.30 (define @t10 () (exists @t8 @t7)) % 2.12/2.30 (define @t11 () (not @t10)) % 2.12/2.30 (define @t12 () (and @t2 @t11)) % 2.12/2.30 (define @t13 () (= @t1 tptp.slcrc0)) % 2.12/2.30 (define @t14 () (= @t13 @t12)) % 2.12/2.30 (define @t15 () (forall @t3 @t14)) % 2.12/2.30 (define @t16 () (tptp.isCountable0 @t1)) % 2.12/2.30 (define @t17 () (not @t9)) % 2.12/2.30 (define @t18 () (and @t2 @t16)) % 2.12/2.30 (define @t19 () (not @t13)) % 2.12/2.30 (define @t20 () (forall @t3 (=> @t18 @t19))) % 2.12/2.30 (define @t21 () (@var "W2" $$unsorted)) % 2.12/2.30 (define @t22 () (tptp.aElementOf0 @t21 @t1)) % 2.12/2.30 (define @t23 () (tptp.aElementOf0 @t21 @t5)) % 2.12/2.30 (define @t24 () (@list @t21)) % 2.12/2.30 (define @t25 () (forall @t24 (=> @t23 @t22))) % 2.12/2.30 (define @t26 () (tptp.aSet0 @t5)) % 2.12/2.30 (define @t27 () (and @t26 @t25)) % 2.12/2.30 (define @t28 () (tptp.aSubsetOf0 @t5 @t1)) % 2.12/2.30 (define @t29 () (= @t28 @t27)) % 2.12/2.30 (define @t30 () (forall @t8 @t29)) % 2.12/2.30 (define @t31 () (=> @t2 @t30)) % 2.12/2.30 (define @t32 () (forall @t3 @t31)) % 2.12/2.30 (define @t33 () (tptp.isFinite0 @t5)) % 2.12/2.30 (define @t34 () (and @t2 @t9)) % 2.12/2.30 (define @t35 () (= @t1 @t5)) % 2.12/2.30 (define @t36 () (tptp.aSubsetOf0 @t1 @t5)) % 2.12/2.30 (define @t37 () (@list @t1 @t5)) % 2.12/2.30 (define @t38 () (tptp.aSubsetOf0 @t5 @t21)) % 2.12/2.30 (define @t39 () (tptp.aSet0 @t21)) % 2.12/2.30 (define @t40 () (@list @t1 @t5 @t21)) % 2.12/2.30 (define @t41 () (@var "W3" $$unsorted)) % 2.12/2.30 (define @t42 () (= @t41 @t5)) % 2.12/2.30 (define @t43 () (tptp.aElementOf0 @t41 @t1)) % 2.12/2.30 (define @t44 () (tptp.aElement0 @t41)) % 2.12/2.30 (define @t45 () (tptp.aElementOf0 @t41 @t21)) % 2.12/2.30 (define @t46 () (@list @t41)) % 2.12/2.30 (define @t47 () (tptp.sdtpldt0 @t1 @t5)) % 2.12/2.30 (define @t48 () (and @t2 @t6)) % 2.12/2.30 (define @t49 () (tptp.sdtmndt0 @t1 @t5)) % 2.12/2.30 (define @t50 () (tptp.sdtpldt0 @t5 @t1)) % 2.12/2.30 (define @t51 () (tptp.isCountable0 @t5)) % 2.12/2.30 (define @t52 () (and @t26 @t51)) % 2.12/2.30 (define @t53 () (tptp.sdtmndt0 @t5 @t1)) % 2.12/2.30 (define @t54 () (and @t26 @t33)) % 2.12/2.30 (define @t55 () (tptp.aSet0 tptp.szNzAzT0)) % 2.12/2.30 (define @t56 () (tptp.szszuzczcdt0 @t1)) % 2.12/2.30 (define @t57 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 2.12/2.30 (define @t58 () (tptp.szszuzczcdt0 @t5)) % 2.12/2.30 (define @t59 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 2.12/2.30 (define @t60 () (and @t57 @t59)) % 2.12/2.30 (define @t61 () (= @t1 tptp.sz00)) % 2.12/2.30 (define @t62 () (tptp.sdtlseqdt0 @t1 @t5)) % 2.12/2.30 (define @t63 () (tptp.sdtlseqdt0 @t5 @t1)) % 2.12/2.30 (define @t64 () (tptp.sdtlseqdt0 @t5 @t21)) % 2.12/2.30 (define @t65 () (tptp.aElementOf0 @t21 tptp.szNzAzT0)) % 2.12/2.30 (define @t66 () (tptp.sbrdtbr0 @t1)) % 2.12/2.30 (define @t67 () (not @t7)) % 2.12/2.30 (define @t68 () (and @t2 @t59)) % 2.12/2.30 (define @t69 () (forall @t24 (=> @t22 @t64))) % 2.12/2.30 (define @t70 () (and @t7 @t69)) % 2.12/2.30 (define @t71 () (tptp.szmzizndt0 @t1)) % 2.12/2.30 (define @t72 () (= @t5 @t71)) % 2.12/2.30 (define @t73 () (= @t72 @t70)) % 2.12/2.30 (define @t74 () (forall @t8 @t73)) % 2.12/2.30 (define @t75 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 2.12/2.30 (define @t76 () (and @t75 @t19)) % 2.12/2.30 (define @t77 () (=> @t76 @t74)) % 2.12/2.30 (define @t78 () (forall @t3 @t77)) % 2.12/2.30 (define @t79 () (tptp.szmzizndt0 @t5)) % 2.12/2.30 (define @t80 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 2.12/2.30 (define @t81 () (tptp.slbdtrb0 @t1)) % 2.12/2.30 (define @t82 () (tptp.slbdtrb0 @t5)) % 2.12/2.30 (define @t83 () (tptp.aSubsetOf0 @t41 @t1)) % 2.12/2.30 (define @t84 () (tptp.slbdtsldtrb0 @t1 @t5)) % 2.12/2.30 (define @t85 () (tptp.slbdtsldtrb0 @t5 @t1)) % 2.12/2.30 (define @t86 () (tptp.aFunction0 @t1)) % 2.12/2.30 (define @t87 () (tptp.szDzozmdt0 @t1)) % 2.12/2.30 (define @t88 () (tptp.sdtlpdtrp0 @t1 @t5)) % 2.12/2.30 (define @t89 () (tptp.aElementOf0 @t5 @t87)) % 2.12/2.30 (define @t90 () (tptp.sdtlpdtrp0 @t1 @t41)) % 2.12/2.30 (define @t91 () (tptp.aElementOf0 @t41 @t87)) % 2.12/2.30 (define @t92 () (tptp.sdtlbdtrb0 @t1 @t5)) % 2.12/2.30 (define @t93 () (and @t86 @t6)) % 2.12/2.30 (define @t94 () (@var "W4" $$unsorted)) % 2.12/2.30 (define @t95 () (@list @t94)) % 2.12/2.30 (define @t96 () (tptp.sdtlcdtrc0 @t1 @t5)) % 2.12/2.30 (define @t97 () (tptp.aSubsetOf0 @t5 @t87)) % 2.12/2.30 (define @t98 () (tptp.sdtlcdtrc0 @t1 @t87)) % 2.12/2.30 (define @t99 () (tptp.szDzozmdt0 @t21)) % 2.12/2.30 (define @t100 () (tptp.aFunction0 @t21)) % 2.12/2.30 (define @t101 () (tptp.szDzizrdt0 @t1)) % 2.12/2.30 (define @t102 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 2.12/2.30 (define @t103 () (tptp.szDzozmdt0 tptp.xc)) % 2.12/2.30 (define @t104 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 2.12/2.30 (define @t105 () (@var "W5" $$unsorted)) % 2.12/2.30 (define @t106 () (tptp.sdtlpdtrp0 tptp.xN @t56)) % 2.12/2.30 (define @t107 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 2.12/2.30 (define @t108 () (tptp.szmzizndt0 @t107)) % 2.12/2.30 (define @t109 () (tptp.sdtmndt0 @t107 @t108)) % 2.12/2.30 (define @t110 () (and (tptp.aSubsetOf0 @t107 tptp.szNzAzT0) (tptp.isCountable0 @t107))) % 2.12/2.30 (define @t111 () (forall @t3 (=> @t57 @t110))) % 2.12/2.30 (define @t112 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 2.12/2.30 (define @t113 () (tptp.sdtpldt0 @t5 @t108)) % 2.12/2.30 (define @t114 () (tptp.slbdtsldtrb0 @t109 tptp.xk)) % 2.12/2.30 (define @t115 () (and @t26 (tptp.aElementOf0 @t5 @t114))) % 2.12/2.30 (define @t116 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 2.12/2.30 (define @t117 () (tptp.sdtlpdtrp0 @t116 @t5)) % 2.12/2.30 (define @t118 () (tptp.szDzozmdt0 @t116)) % 2.12/2.30 (define @t119 () (tptp.aElementOf0 @t5 tptp.xT)) % 2.12/2.30 (define @t120 () (tptp.slbdtsldtrb0 @t106 tptp.xk)) % 2.12/2.30 (define @t121 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 2.12/2.30 (define @t122 () (=> @t57 (= @t121 @t108))) % 2.12/2.30 (define @t123 () (forall @t3 @t122)) % 2.12/2.30 (define @t124 () (tptp.szDzozmdt0 tptp.xd)) % 2.12/2.30 (define @t125 () (tptp.szDzizrdt0 tptp.xd)) % 2.12/2.30 (define @t126 () (tptp.sdtlbdtrb0 tptp.xd @t125)) % 2.12/2.30 (define @t127 () (tptp.aSet0 tptp.xO)) % 2.12/2.30 (define @t128 () (tptp.sdtlpdtrp0 tptp.xe tptp.xi)) % 2.12/2.30 (define @t129 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 2.12/2.30 (define @t130 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 2.12/2.30 (define @t131 () (tptp.aSubsetOf0 @t130 tptp.xS)) % 2.12/2.30 (define @t132 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 2.12/2.30 (define @t133 () (forall @t8 @t67)) % 2.12/2.30 (define @t134 () (tptp.aSet0 tptp.slcrc0)) % 2.12/2.30 (define @t135 () (and @t134 (forall @t8 (not (tptp.aElementOf0 @t5 tptp.slcrc0))))) % 2.12/2.30 (define @t136 () (= tptp.slcrc0 tptp.slcrc0)) % 2.12/2.30 (define @t137 () (= @t136 @t135)) % 2.12/2.30 (define @t138 () (forall @t3 (= @t13 (and @t2 @t133)))) % 2.12/2.30 (define @t139 () (@list false)) % 2.12/2.30 (define @t140 () (not (tptp.isCountable0 tptp.slcrc0))) % 2.12/2.30 (define @t141 () (not @t134)) % 2.12/2.30 (define @t142 () (not @t136)) % 2.12/2.30 (define @t143 () (or @t141 @t140 @t142)) % 2.12/2.30 (define @t144 () (not @t16)) % 2.12/2.30 (define @t145 () (not @t2)) % 2.12/2.30 (define @t146 () (or @t19 @t145 @t144 @t19)) % 2.12/2.30 (define @t147 () (or @t145 @t144 @t19)) % 2.12/2.30 (define @t148 () (@var "BOUND_VARIABLE_8672" $$unsorted)) % 2.12/2.30 (define @t149 () (= @t71 @t148)) % 2.12/2.30 (define @t150 () (not @t22)) % 2.12/2.30 (define @t151 () (and (tptp.aElementOf0 @t148 @t1) (forall @t24 (or @t150 (tptp.sdtlseqdt0 @t148 @t21))))) % 2.12/2.30 (define @t152 () (= (= @t148 @t71) @t151)) % 2.12/2.30 (define @t153 () (not @t75)) % 2.12/2.30 (define @t154 () (or @t153 @t13 @t152)) % 2.12/2.30 (define @t155 () (@list @t1 @t148)) % 2.12/2.30 (define @t156 () (forall @t155 @t154)) % 2.12/2.30 (define @t157 () (@list @t148)) % 2.12/2.30 (define @t158 () (forall @t157 @t154)) % 2.12/2.30 (define @t159 () (forall @t157 @t152)) % 2.12/2.30 (define @t160 () (@list @t5)) % 2.12/2.30 (define @t161 () (or @t153 @t13 @t159)) % 2.12/2.30 (define @t162 () (forall @t8 (= @t72 (and @t7 (forall @t24 (or @t150 @t64)))))) % 2.12/2.30 (define @t163 () (or @t153 @t13 @t162)) % 2.12/2.30 (define @t164 () (tptp.szmzizndt0 @t130)) % 2.12/2.30 (define @t165 () (not (tptp.aElementOf0 @t21 @t130))) % 2.12/2.30 (define @t166 () (tptp.aElementOf0 tptp.xx @t130)) % 2.12/2.30 (define @t167 () (and @t166 (forall @t24 (or @t165 (tptp.sdtlseqdt0 tptp.xx @t21))))) % 2.12/2.30 (define @t168 () (= @t167 (= @t164 tptp.xx))) % 2.12/2.30 (define @t169 () (tptp.aSubsetOf0 @t130 tptp.szNzAzT0)) % 2.12/2.30 (define @t170 () (not @t169)) % 2.12/2.30 (define @t171 () (or @t170 (= @t130 tptp.slcrc0) @t168)) % 2.12/2.30 (define @t172 () (forall @t155 (or @t153 @t13 (= @t151 @t149)))) % 2.12/2.30 (define @t173 () (= tptp.xx @t164)) % 2.12/2.30 (define @t174 () (= @t167 @t173)) % 2.12/2.30 (define @t175 () (= tptp.slcrc0 @t130)) % 2.12/2.30 (define @t176 () (or @t170 @t175 @t174)) % 2.12/2.30 (define @t177 () (= @t108 @t121)) % 2.12/2.30 (define @t178 () (not @t129)) % 2.12/2.30 (define @t179 () (or @t178 (= @t164 @t128))) % 2.12/2.30 (define @t180 () (forall @t3 (or (not @t57) @t177))) % 2.12/2.30 (define @t181 () (@list tptp.xi)) % 2.12/2.30 (define @t182 () (= @t128 @t164)) % 2.12/2.30 (define @t183 () (or @t178 @t182)) % 2.12/2.30 (define @t184 () (@list false false)) % 2.12/2.30 (define @t185 () (@var "BOUND_VARIABLE_8218" $$unsorted)) % 2.12/2.30 (define @t186 () (= (tptp.aSubsetOf0 @t185 @t1) (and (tptp.aSet0 @t185) (forall @t24 (or (not (tptp.aElementOf0 @t21 @t185)) @t22))))) % 2.12/2.30 (define @t187 () (or @t145 @t186)) % 2.12/2.30 (define @t188 () (@list @t185)) % 2.12/2.30 (define @t189 () (forall @t188 @t187)) % 2.12/2.30 (define @t190 () (forall @t188 @t186)) % 2.12/2.30 (define @t191 () (or @t145 @t190)) % 2.12/2.30 (define @t192 () (forall @t8 (= @t28 (and @t26 (forall @t24 (or (not @t23) @t22)))))) % 2.12/2.30 (define @t193 () (tptp.aElementOf0 @t21 tptp.xS)) % 2.12/2.30 (define @t194 () (tptp.aSet0 tptp.xS)) % 2.12/2.30 (define @t195 () (and @t194 (forall @t24 (or (not @t193) @t65)))) % 2.12/2.30 (define @t196 () (= @t102 @t195)) % 2.12/2.30 (define @t197 () (not @t55)) % 2.12/2.30 (define @t198 () (or @t197 @t196)) % 2.12/2.30 (define @t199 () (forall @t24 (or @t165 @t193))) % 2.12/2.30 (define @t200 () (and (tptp.aSet0 @t130) @t199)) % 2.12/2.30 (define @t201 () (= @t131 @t200)) % 2.12/2.30 (define @t202 () (not @t194)) % 2.12/2.30 (define @t203 () (or @t202 @t201)) % 2.12/2.30 (define @t204 () (not @t166)) % 2.12/2.30 (define @t205 () (or @t204 @t132)) % 2.12/2.30 (define @t206 () (@list true false)) % 2.12/2.30 (define @t207 () (not @t167)) % 2.12/2.30 (define @t208 () (not @t174)) % 2.12/2.30 (define @t209 () (tptp.isCountable0 @t130)) % 2.12/2.30 (define @t210 () (and @t169 @t209)) % 2.12/2.30 (define @t211 () (or @t178 @t210)) % 2.12/2.30 (define @t212 () (not @t210)) % 2.12/2.30 (define @t213 () (@list @t210)) % 2.12/2.30 (assume @p1 (forall @t3 (=> @t2 true))) % 2.12/2.30 (assume @p2 (forall @t3 (=> @t4 true))) % 2.12/2.30 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 2.12/2.30 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 2.12/2.30 (assume @p5 @t15) % 2.12/2.30 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 2.12/2.30 (assume @p7 (forall @t3 (=> @t2 (=> @t16 true)))) % 2.12/2.30 (assume @p8 (forall @t3 (=> @t18 @t17))) % 2.12/2.30 (assume @p9 @t20) % 2.12/2.30 (assume @p10 @t32) % 2.12/2.30 (assume @p11 (forall @t3 (=> @t34 (forall @t8 (=> @t28 @t33))))) % 2.12/2.30 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 2.12/2.30 (assume @p13 (forall @t37 (=> (and @t2 @t26) (=> (and @t36 @t28) @t35)))) % 2.12/2.30 (assume @p14 (forall @t40 (=> (and @t2 @t26 @t39) (=> (and @t36 @t38) (tptp.aSubsetOf0 @t1 @t21))))) % 2.12/2.30 (assume @p15 (forall @t37 (=> @t48 (forall @t24 (= (= @t21 @t47) (and @t39 (forall @t46 (= @t45 (and @t44 (or @t43 @t42)))))))))) % 2.12/2.30 (assume @p16 (forall @t37 (=> @t48 (forall @t24 (= (= @t21 @t49) (and @t39 (forall @t46 (= @t45 (and @t44 @t43 (not @t42)))))))))) % 2.12/2.30 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t49 @t5) @t1)))))) % 2.12/2.30 (assume @p18 (forall @t37 (=> (and @t4 @t26) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t50 @t1) @t5))))) % 2.12/2.30 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t52 (tptp.isCountable0 @t50)))))) % 2.12/2.30 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t52 (tptp.isCountable0 @t53)))))) % 2.12/2.30 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t54 (tptp.isFinite0 @t50)))))) % 2.12/2.30 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t54 (tptp.isFinite0 @t53)))))) % 2.12/2.30 (assume @p23 (and @t55 (tptp.isCountable0 tptp.szNzAzT0))) % 2.12/2.30 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 2.12/2.30 (assume @p25 (forall @t3 (=> @t57 (and (tptp.aElementOf0 @t56 tptp.szNzAzT0) (not (= @t56 tptp.sz00)))))) % 2.12/2.30 (assume @p26 (forall @t37 (=> @t60 (=> (= @t56 @t58) @t35)))) % 2.12/2.30 (assume @p27 (forall @t3 (=> @t57 (or @t61 (exists @t8 (and @t59 (= @t1 @t58))))))) % 2.12/2.30 (assume @p28 (forall @t3 (=> @t57 (not (= @t1 @t56))))) % 2.12/2.30 (assume @p29 (forall @t37 (=> @t60 (=> @t62 true)))) % 2.12/2.30 (assume @p30 (forall @t3 (=> @t57 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 2.12/2.30 (assume @p31 (forall @t3 (=> @t57 (not (tptp.sdtlseqdt0 @t56 tptp.sz00))))) % 2.12/2.30 (assume @p32 (forall @t37 (=> @t60 (= @t62 (tptp.sdtlseqdt0 @t56 @t58))))) % 2.12/2.30 (assume @p33 (forall @t3 (=> @t57 (tptp.sdtlseqdt0 @t1 @t56)))) % 2.12/2.30 (assume @p34 (forall @t3 (=> @t57 (tptp.sdtlseqdt0 @t1 @t1)))) % 2.12/2.30 (assume @p35 (forall @t37 (=> @t60 (=> (and @t62 @t63) @t35)))) % 2.12/2.30 (assume @p36 (forall @t40 (=> (and @t57 @t59 @t65) (=> (and @t62 @t64) (tptp.sdtlseqdt0 @t1 @t21))))) % 2.12/2.30 (assume @p37 (forall @t37 (=> @t60 (or @t62 (tptp.sdtlseqdt0 @t58 @t1))))) % 2.12/2.30 (assume @p38 (forall @t37 (=> @t60 (=> (tptp.iLess0 @t1 @t5) true)))) % 2.12/2.30 (assume @p39 (forall @t3 (=> @t57 (tptp.iLess0 @t1 @t56)))) % 2.12/2.30 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t66)))) % 2.12/2.30 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t66 tptp.szNzAzT0) @t9)))) % 2.12/2.30 (assume @p42 (forall @t3 (=> @t2 (= (= @t66 tptp.sz00) @t13)))) % 2.12/2.30 (assume @p43 (forall @t3 (=> @t34 (forall @t8 (=> @t6 (=> @t67 (= (tptp.sbrdtbr0 @t47) (tptp.szszuzczcdt0 @t66)))))))) % 2.12/2.30 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t49)) @t66)))))) % 2.12/2.30 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t28) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t66)))))) % 2.12/2.30 (assume @p46 (forall @t37 (=> @t68 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t66)) (exists @t24 (and (tptp.aSubsetOf0 @t21 @t1) (= (tptp.sbrdtbr0 @t21) @t5))))))) % 2.12/2.30 (assume @p47 @t78) % 2.12/2.30 (assume @p48 (forall @t3 (=> (and @t75 @t9 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t24 (=> @t22 (tptp.sdtlseqdt0 @t21 @t5))))))))) % 2.12/2.30 (assume @p49 (forall @t37 (=> (and @t75 @t80 @t19 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t71 @t5) (tptp.aElementOf0 @t79 @t1)) (= @t71 @t79))))) % 2.12/2.30 (assume @p50 (forall @t3 (=> @t57 (forall @t8 (= (= @t5 @t81) (and @t26 (forall @t24 (= @t23 (and @t65 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t21) @t1)))))))))) % 2.12/2.30 (assume @p51 (forall @t3 (=> @t57 (tptp.isFinite0 @t81)))) % 2.12/2.30 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 2.12/2.30 (assume @p53 (forall @t37 (=> @t60 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t58)) (or (tptp.aElementOf0 @t1 @t82) @t35))))) % 2.12/2.30 (assume @p54 (forall @t37 (=> @t60 (= @t62 (tptp.aSubsetOf0 @t81 @t82))))) % 2.12/2.30 (assume @p55 (forall @t3 (=> (and @t75 @t9) (exists @t8 (and @t59 (tptp.aSubsetOf0 @t1 @t82)))))) % 2.12/2.30 (assume @p56 (forall @t3 (=> @t57 (= (tptp.sbrdtbr0 @t81) @t1)))) % 2.12/2.30 (assume @p57 (forall @t37 (=> @t68 (forall @t24 (= (= @t21 @t84) (and @t39 (forall @t46 (= @t45 (and @t83 (= (tptp.sbrdtbr0 @t41) @t5)))))))))) % 2.12/2.30 (assume @p58 (forall @t3 (=> @t34 (forall @t8 (=> @t59 (tptp.isFinite0 @t84)))))) % 2.12/2.30 (assume @p59 (forall @t3 (=> (and @t2 @t17) (forall @t8 (=> @t59 (not (= @t84 tptp.slcrc0))))))) % 2.12/2.30 (assume @p60 (forall @t3 (=> @t18 (forall @t8 (=> (and @t59 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t84)))))) % 2.12/2.30 (assume @p61 (forall @t3 (=> @t57 (forall (@list @t5 @t21) (=> (and @t26 @t39 (not @t61)) (=> (and (tptp.aSubsetOf0 @t85 (tptp.slbdtsldtrb0 @t21 @t1)) (not (= @t85 tptp.slcrc0))) @t38)))))) % 2.12/2.30 (assume @p62 (forall @t37 (=> @t68 (forall @t24 (=> (and (tptp.aSubsetOf0 @t21 @t84) (tptp.isFinite0 @t21)) (exists @t46 (and @t83 (tptp.isFinite0 @t41) (tptp.aSubsetOf0 @t21 (tptp.slbdtsldtrb0 @t41 @t5))))))))) % 2.12/2.30 (assume @p63 (forall @t3 (=> @t86 true))) % 2.12/2.30 (assume @p64 (forall @t3 (=> @t86 (tptp.aSet0 @t87)))) % 2.12/2.30 (assume @p65 (forall @t3 (=> @t86 (forall @t8 (=> @t89 (tptp.aElement0 @t88)))))) % 2.12/2.30 (assume @p66 (forall @t37 (=> @t93 (forall @t24 (= (= @t21 @t92) (and @t39 (forall @t46 (= @t45 (and @t91 (= @t90 @t5)))))))))) % 2.12/2.30 (assume @p67 (forall @t37 (=> @t93 (tptp.aSubsetOf0 @t92 @t87)))) % 2.12/2.30 (assume @p68 (forall @t3 (=> @t86 (forall @t8 (=> @t97 (forall @t24 (= (= @t21 @t96) (and @t39 (forall @t46 (= @t45 (exists @t95 (and (tptp.aElementOf0 @t94 @t5) (= (tptp.sdtlpdtrp0 @t1 @t94) @t41))))))))))))) % 2.12/2.30 (assume @p69 (forall @t3 (=> @t86 (forall @t8 (=> @t89 (tptp.aElementOf0 @t88 @t98)))))) % 2.12/2.30 (assume @p70 (forall @t3 (=> @t86 (forall @t8 (=> @t97 (forall @t24 (= (= @t21 (tptp.sdtexdt0 @t1 @t5)) (and @t100 (= @t99 @t5) (forall @t46 (=> (tptp.aElementOf0 @t41 @t5) (= (tptp.sdtlpdtrp0 @t21 @t41) @t90))))))))))) % 2.12/2.30 (assume @p71 (forall @t3 (=> @t86 (forall @t8 (=> (and @t97 @t51) (=> (forall (@list @t21 @t41) (=> (and (tptp.aElementOf0 @t21 @t87) @t91 (not (= @t21 @t41))) (not (= (tptp.sdtlpdtrp0 @t1 @t21) @t90)))) (tptp.isCountable0 @t96))))))) % 2.12/2.30 (assume @p72 (forall @t3 (=> @t86 (=> (and (tptp.isCountable0 @t87) (tptp.isFinite0 @t98)) (and (tptp.aElement0 @t101) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t101))))))) % 2.12/2.30 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 2.12/2.30 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 2.12/2.30 (assume @p75 (and @t102 (tptp.isCountable0 tptp.xS))) % 2.12/2.30 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t103 @t104) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t103) tptp.xT))) % 2.12/2.30 (assume @p77 (forall @t3 (=> @t57 (forall @t8 (=> (and @t80 @t51) (forall @t24 (=> (and @t100 (= @t99 @t85) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t21 @t99) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t46 (and (tptp.aElementOf0 @t41 tptp.xT) (exists @t95 (and (tptp.aSubsetOf0 @t94 @t5) (tptp.isCountable0 @t94) (forall (@list @t105) (=> (tptp.aElementOf0 @t105 (tptp.slbdtsldtrb0 @t94 @t1)) (= (tptp.sdtlpdtrp0 @t21 @t105) @t41))))))))))))))) % 2.12/2.30 (assume @p78 (not (= tptp.xK tptp.sz00))) % 2.12/2.30 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 2.12/2.30 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t57 (=> @t110 (and (tptp.aSubsetOf0 @t106 @t109) (tptp.isCountable0 @t106))))))) % 2.12/2.30 (assume @p81 @t111) % 2.12/2.30 (assume @p82 (forall @t37 (=> @t60 (=> @t63 (tptp.aSubsetOf0 @t107 @t112))))) % 2.12/2.30 (assume @p83 (forall @t37 (=> (and @t57 @t59 (not @t35)) (not (= @t108 (tptp.szmzizndt0 @t112)))))) % 2.12/2.30 (assume @p84 (forall @t3 (=> @t57 (forall @t8 (=> @t115 (tptp.aElementOf0 @t113 @t104)))))) % 2.12/2.30 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t57 (and (tptp.aFunction0 @t116) (= @t118 @t114) (forall @t8 (=> @t115 (= @t117 (tptp.sdtlpdtrp0 tptp.xc @t113))))))))) % 2.12/2.30 (assume @p86 (forall @t3 (=> @t57 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t116 @t118) tptp.xT)))) % 2.12/2.30 (assume @p87 (forall @t3 (=> @t57 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t109) @t51) (forall @t24 (=> (and @t39 (tptp.aElementOf0 @t21 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t21 @t114)))))))) % 2.12/2.30 (assume @p88 (forall @t3 (=> @t57 (exists @t8 (and @t119 (exists @t24 (and (tptp.aSubsetOf0 @t21 @t109) (tptp.isCountable0 @t21) (forall @t46 (=> (and (tptp.aSet0 @t41) (tptp.aElementOf0 @t41 (tptp.slbdtsldtrb0 @t21 tptp.xk))) (= (tptp.sdtlpdtrp0 @t116 @t41) @t5)))))))))) % 2.12/2.30 (assume @p89 (forall @t3 (=> @t57 (exists @t8 (and @t119 (forall @t24 (=> (and @t39 (tptp.aElementOf0 @t21 @t120)) (= (tptp.sdtlpdtrp0 @t116 @t21) @t5)))))))) % 2.12/2.30 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) @t123)) % 2.12/2.30 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t124 tptp.szNzAzT0) (forall @t3 (=> @t57 (forall @t8 (=> (and @t26 (tptp.aElementOf0 @t5 @t120)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t117))))))) % 2.12/2.30 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t124) tptp.xT)) % 2.12/2.30 (assume @p93 (and (tptp.aElementOf0 @t125 tptp.xT) (tptp.isCountable0 @t126))) % 2.12/2.30 (assume @p94 (and @t127 (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t126)))) % 2.12/2.30 (assume @p95 (and @t127 (tptp.isCountable0 tptp.xO))) % 2.12/2.30 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t59 (tptp.aElementOf0 @t5 @t126) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 2.12/2.30 (assume @p97 (tptp.aElementOf0 tptp.xx tptp.xO)) % 2.12/2.30 (assume @p98 (and @t129 (= @t128 tptp.xx))) % 2.12/2.30 (assume @p99 @t131) % 2.12/2.30 (assume @p100 (not @t132)) % 2.12/2.30 (assume @p101 true) % 2.12/2.30 (step @p102 :rule evaluate :args ((= true false))) % 2.12/2.30 (step @p103 :rule bool-double-not-elim :args (@t133)) % 2.12/2.30 (step @p104 :rule exists-elim :args ((= @t10 (not @t133)))) % 2.12/2.30 (step @p105 :rule cong :premises (@p104) :args (@t11)) % 2.12/2.30 (step @p106 :rule trans :premises (@p105 @p103)) % 2.12/2.30 (step @p107 :rule refl :args (@t2)) % 2.12/2.30 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t12)) % 2.12/2.30 (step @p109 :rule refl :args (@t13)) % 2.12/2.30 (step @p110 :rule cong :premises (@p109 @p108) :args (@t14)) % 2.12/2.30 (step @p111 :rule cong :premises (@p110) :args (@t15)) % 2.12/2.30 (step @p112 :rule eq_resolve :premises (@p5 @p111)) % 2.12/2.30 (step @p113 :rule bool-eq-true :args (@t135)) % 2.12/2.30 (step @p114 :rule eq-symm :args (true @t135)) % 2.12/2.30 (step @p115 :rule trans :premises (@p114 @p113)) % 2.12/2.30 (step @p116 :rule refl :args (@t135)) % 2.12/2.30 (step @p117 :rule eq-refl :args (tptp.slcrc0)) % 2.12/2.30 (step @p118 :rule cong :premises (@p117 @p116) :args (@t137)) % 2.12/2.30 (step @p119 :rule trans :premises (@p118 @p115)) % 2.12/2.30 (step @p120 :rule refl :args (@t138)) % 2.12/2.30 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t138 @t137))) % 2.12/2.30 (assume-push @p320 @t138) % 2.12/2.30 (step @p123 :rule instantiate :premises (@p112) :args ((@list tptp.slcrc0))) % 2.12/2.30 (step-pop @p321 :rule scope :premises (@p123)) % 2.12/2.30 (step @p124 :rule process_scope :premises (@p321) :args (@t137)) % 2.12/2.30 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 2.12/2.30 (step @p127 :rule implies_elim :premises (@p126)) % 2.12/2.30 (step @p128 :rule chain_m_resolution :premises (@p127 @p112) :args (@t135 @t139 (@list @t138))) % 2.12/2.30 (step @p129 :rule cnf_and_pos :args (@t135 0)) % 2.12/2.30 (step @p130 :rule reordering :premises (@p129) :args ((or @t134 (not @t135)))) % 2.12/2.30 (step @p131 :rule chain_m_resolution :premises (@p130 @p128) :args (@t134 @t139 (@list @t135))) % 2.12/2.30 (step @p132 :rule aci_norm :args ((= (or @t141 @t140 false) (or @t141 @t140)))) % 2.12/2.30 (step @p133 :rule evaluate :args ((not true))) % 2.12/2.30 (step @p134 :rule cong :premises (@p117) :args (@t142)) % 2.12/2.30 (step @p135 :rule trans :premises (@p134 @p133)) % 2.12/2.30 (step @p136 :rule refl :args (@t140)) % 2.12/2.30 (step @p137 :rule refl :args (@t141)) % 2.12/2.30 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135) :args (@t143)) % 2.12/2.30 (step @p139 :rule trans :premises (@p138 @p132)) % 2.12/2.30 (step @p140 :rule quant-var-elim-eq :args ((= (forall @t3 @t146) @t143))) % 2.12/2.30 (step @p141 :rule aci_norm :args ((= @t147 @t146))) % 2.12/2.30 (step @p142 :rule cong :premises (@p141) :args ((forall @t3 @t147))) % 2.12/2.30 (step @p143 :rule trans :premises (@p142 @p140)) % 2.12/2.30 (step @p144 :rule trans :premises (@p143 @p139)) % 2.12/2.30 (step @p145 :rule aci_norm :args ((= (or (or @t145 @t144) @t19) @t147))) % 2.12/2.30 (step @p146 :rule refl :args (@t19)) % 2.12/2.30 (step @p147 :rule bool-and-de-morgan :args (@t2 @t16 true)) % 2.12/2.30 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t18) @t19))) % 2.12/2.30 (step @p149 :rule trans :premises (@p148 @p145)) % 2.12/2.30 (step @p150 :rule bool-impl-elim :args (@t18 @t19)) % 2.12/2.30 (step @p151 :rule trans :premises (@p150 @p149)) % 2.12/2.30 (step @p152 :rule cong :premises (@p151) :args (@t20)) % 2.12/2.30 (step @p153 :rule trans :premises (@p152 @p144)) % 2.12/2.30 (step @p154 :rule eq_resolve :premises (@p9 @p153)) % 2.12/2.30 (step @p155 :rule chain_m_resolution :premises (@p154 @p131) :args (@t140 @t139 (@list @t134))) % 2.12/2.30 (step @p156 :rule false_intro :premises (@p155)) % 2.12/2.30 (step @p157 :rule eq-symm :args (@t149 @t151)) % 2.12/2.30 (step @p158 :rule refl :args (@t151)) % 2.12/2.30 (step @p159 :rule eq-symm :args (@t148 @t71)) % 2.12/2.30 (step @p160 :rule cong :premises (@p159 @p158) :args (@t152)) % 2.12/2.30 (step @p161 :rule trans :premises (@p160 @p157)) % 2.12/2.30 (step @p162 :rule refl :args (@t153)) % 2.12/2.30 (step @p163 :rule nary_cong :premises (@p162 @p109 @p161) :args (@t154)) % 2.12/2.30 (step @p164 :rule cong :premises (@p163) :args (@t156)) % 2.12/2.30 (step @p165 :rule quant-merge-prenex :args ((= (forall @t3 @t158) @t156))) % 2.12/2.30 (step @p166 :rule alpha_equiv :args (@t159 (@list @t148) @t160)) % 2.12/2.30 (step @p167 :rule refl :args (@t13)) % 2.12/2.30 (step @p168 :rule refl :args (@t153)) % 2.12/2.30 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166) :args (@t161)) % 2.12/2.30 (step @p170 :rule quant-miniscope-or :args ((= @t158 @t161))) % 2.12/2.30 (step @p171 :rule trans :premises (@p170 @p169)) % 2.12/2.30 (step @p172 :rule symm :premises (@p171)) % 2.12/2.30 (step @p173 :rule cong :premises (@p172) :args ((forall @t3 @t163))) % 2.12/2.30 (step @p174 :rule trans :premises (@p173 @p165)) % 2.12/2.30 (step @p175 :rule trans :premises (@p174 @p164)) % 2.12/2.30 (step @p176 :rule aci_norm :args ((= (or (or @t153 @t13) @t162) @t163))) % 2.12/2.30 (step @p177 :rule refl :args (@t162)) % 2.12/2.30 (step @p178 :rule bool-double-not-elim :args (@t13)) % 2.12/2.30 (step @p179 :rule nary_cong :premises (@p168 @p178) :args ((or @t153 (not @t19)))) % 2.12/2.30 (step @p180 :rule bool-and-de-morgan :args (@t75 @t19 true)) % 2.12/2.30 (step @p181 :rule trans :premises (@p180 @p179)) % 2.12/2.30 (step @p182 :rule nary_cong :premises (@p181 @p177) :args ((or (not @t76) @t162))) % 2.12/2.30 (step @p183 :rule trans :premises (@p182 @p176)) % 2.12/2.30 (step @p184 :rule bool-impl-elim :args (@t76 @t162)) % 2.12/2.30 (step @p185 :rule trans :premises (@p184 @p183)) % 2.12/2.30 (step @p186 :rule cong :premises (@p185) :args ((forall @t3 (=> @t76 @t162)))) % 2.12/2.30 (step @p187 :rule trans :premises (@p186 @p175)) % 2.12/2.30 (step @p188 :rule bool-impl-elim :args (@t22 @t64)) % 2.12/2.30 (step @p189 :rule cong :premises (@p188) :args (@t69)) % 2.12/2.30 (step @p190 :rule refl :args (@t7)) % 2.12/2.30 (step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t70)) % 2.12/2.30 (step @p192 :rule refl :args (@t72)) % 2.12/2.30 (step @p193 :rule cong :premises (@p192 @p191) :args (@t73)) % 2.12/2.30 (step @p194 :rule cong :premises (@p193) :args (@t74)) % 2.12/2.30 (step @p195 :rule refl :args (@t76)) % 2.12/2.30 (step @p196 :rule cong :premises (@p195 @p194) :args (@t77)) % 2.12/2.30 (step @p197 :rule cong :premises (@p196) :args (@t78)) % 2.12/2.30 (step @p198 :rule trans :premises (@p197 @p187)) % 2.12/2.30 (step @p199 :rule eq_resolve :premises (@p47 @p198)) % 2.12/2.30 (step @p200 :rule eq-symm :args (@t164 tptp.xx)) % 2.12/2.30 (step @p201 :rule refl :args (@t167)) % 2.12/2.30 (step @p202 :rule cong :premises (@p201 @p200) :args (@t168)) % 2.12/2.30 (step @p203 :rule eq-symm :args (@t130 tptp.slcrc0)) % 2.12/2.30 (step @p204 :rule refl :args (@t170)) % 2.12/2.30 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202) :args (@t171)) % 2.12/2.30 (step @p206 :rule refl :args (@t172)) % 2.12/2.30 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t172 @t171))) % 2.12/2.30 (assume-push @p322 @t172) % 2.12/2.30 (step @p209 :rule instantiate :premises (@p199) :args ((@list @t130 tptp.xx))) % 2.12/2.30 (step-pop @p323 :rule scope :premises (@p209)) % 2.12/2.30 (step @p210 :rule process_scope :premises (@p323) :args (@t171)) % 2.12/2.30 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 2.12/2.30 (step @p213 :rule implies_elim :premises (@p212)) % 2.12/2.30 (step @p214 :rule chain_m_resolution :premises (@p213 @p199) :args (@t176 @t139 (@list @t172))) % 2.12/2.30 (step @p215 :rule bool-impl-elim :args (@t57 @t177)) % 2.12/2.30 (step @p216 :rule cong :premises (@p215) :args ((forall @t3 (=> @t57 @t177)))) % 2.12/2.30 (step @p217 :rule eq-symm :args (@t121 @t108)) % 2.12/2.30 (step @p218 :rule refl :args (@t57)) % 2.12/2.30 (step @p219 :rule cong :premises (@p218 @p217) :args (@t122)) % 2.12/2.30 (step @p220 :rule cong :premises (@p219) :args (@t123)) % 2.12/2.30 (step @p221 :rule trans :premises (@p220 @p216)) % 2.12/2.30 (step @p222 :rule and_elim :premises (@p90) :args (2)) % 2.12/2.30 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 2.12/2.30 (step @p224 :rule eq-symm :args (@t164 @t128)) % 2.12/2.30 (step @p225 :rule refl :args (@t178)) % 2.12/2.30 (step @p226 :rule nary_cong :premises (@p225 @p224) :args (@t179)) % 2.12/2.30 (step @p227 :rule refl :args (@t180)) % 2.12/2.30 (step @p228 :rule cong :premises (@p227 @p226) :args ((=> @t180 @t179))) % 2.12/2.30 (assume-push @p324 @t180) % 2.12/2.30 (step @p230 :rule instantiate :premises (@p223) :args (@t181)) % 2.12/2.30 (step-pop @p325 :rule scope :premises (@p230)) % 2.12/2.30 (step @p231 :rule process_scope :premises (@p325) :args (@t179)) % 2.12/2.30 (step @p233 :rule eq_resolve :premises (@p231 @p228)) % 2.12/2.30 (step @p234 :rule implies_elim :premises (@p233)) % 2.12/2.30 (step @p235 :rule chain_m_resolution :premises (@p234 @p223) :args (@t183 @t139 (@list @t180))) % 2.12/2.30 (step @p236 :rule and_elim :premises (@p98) :args (0)) % 2.12/2.30 (step @p237 :rule cnf_or_pos :args (@t183)) % 2.12/2.30 (step @p238 :rule reordering :premises (@p237) :args ((or @t178 @t182 (not @t183)))) % 2.12/2.30 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p235) :args (@t182 @t184 (@list @t129 @t183))) % 2.12/2.30 (step @p240 :rule and_elim :premises (@p98) :args (1)) % 2.12/2.30 (step @p241 :rule symm :premises (@p240)) % 2.12/2.30 (step @p242 :rule trans :premises (@p241 @p239)) % 2.12/2.30 (step @p243 :rule quant-merge-prenex :args ((= (forall @t3 @t189) (forall (@list @t1 @t185) @t187)))) % 2.12/2.30 (step @p244 :rule alpha_equiv :args (@t190 (@list @t185) @t160)) % 2.12/2.30 (step @p245 :rule refl :args (@t145)) % 2.12/2.30 (step @p246 :rule nary_cong :premises (@p245 @p244) :args (@t191)) % 2.12/2.30 (step @p247 :rule quant-miniscope-or :args ((= @t189 @t191))) % 2.12/2.30 (step @p248 :rule trans :premises (@p247 @p246)) % 2.12/2.30 (step @p249 :rule symm :premises (@p248)) % 2.12/2.30 (step @p250 :rule cong :premises (@p249) :args ((forall @t3 (or @t145 @t192)))) % 2.12/2.30 (step @p251 :rule trans :premises (@p250 @p243)) % 2.12/2.30 (step @p252 :rule bool-impl-elim :args (@t2 @t192)) % 2.12/2.30 (step @p253 :rule cong :premises (@p252) :args ((forall @t3 (=> @t2 @t192)))) % 2.12/2.30 (step @p254 :rule trans :premises (@p253 @p251)) % 2.12/2.30 (step @p255 :rule bool-impl-elim :args (@t23 @t22)) % 2.12/2.30 (step @p256 :rule cong :premises (@p255) :args (@t25)) % 2.12/2.30 (step @p257 :rule refl :args (@t26)) % 2.12/2.30 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t27)) % 2.12/2.30 (step @p259 :rule refl :args (@t28)) % 2.12/2.30 (step @p260 :rule cong :premises (@p259 @p258) :args (@t29)) % 2.12/2.30 (step @p261 :rule cong :premises (@p260) :args (@t30)) % 2.12/2.30 (step @p262 :rule cong :premises (@p107 @p261) :args (@t31)) % 2.12/2.30 (step @p263 :rule cong :premises (@p262) :args (@t32)) % 2.12/2.30 (step @p264 :rule trans :premises (@p263 @p254)) % 2.12/2.30 (step @p265 :rule eq_resolve :premises (@p10 @p264)) % 2.12/2.30 (step @p266 :rule instantiate :premises (@p265) :args ((@list tptp.xS @t130))) % 2.12/2.30 (step @p267 :rule instantiate :premises (@p265) :args ((@list tptp.szNzAzT0 tptp.xS))) % 2.12/2.30 (step @p268 :rule and_elim :premises (@p23) :args (0)) % 2.12/2.30 (step @p269 :rule cnf_or_pos :args (@t198)) % 2.12/2.30 (step @p270 :rule reordering :premises (@p269) :args ((or @t197 @t196 (not @t198)))) % 2.12/2.30 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p267) :args (@t196 @t184 (@list @t55 @t198))) % 2.12/2.30 (step @p272 :rule and_elim :premises (@p75) :args (0)) % 2.12/2.30 (step @p273 :rule cnf_equiv_pos1 :args (@t196)) % 2.12/2.30 (step @p274 :rule reordering :premises (@p273) :args ((or (not @t102) @t195 (not @t196)))) % 2.12/2.30 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p271) :args (@t195 @t184 (@list @t102 @t196))) % 2.12/2.30 (step @p276 :rule cnf_and_pos :args (@t195 0)) % 2.12/2.30 (step @p277 :rule reordering :premises (@p276) :args ((or @t194 (not @t195)))) % 2.12/2.30 (step @p278 :rule chain_m_resolution :premises (@p277 @p275) :args (@t194 @t139 (@list @t195))) % 2.12/2.30 (step @p279 :rule cnf_or_pos :args (@t203)) % 2.12/2.30 (step @p280 :rule reordering :premises (@p279) :args ((or @t202 @t201 (not @t203)))) % 2.12/2.30 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p266) :args (@t201 @t184 (@list @t194 @t203))) % 2.12/2.30 (step @p282 :rule cnf_equiv_pos1 :args (@t201)) % 2.12/2.30 (step @p283 :rule reordering :premises (@p282) :args ((or (not @t131) @t200 (not @t201)))) % 2.12/2.30 (step @p284 :rule chain_m_resolution :premises (@p283 @p99 @p281) :args (@t200 @t184 (@list @t131 @t201))) % 2.12/2.30 (step @p285 :rule cnf_and_pos :args (@t200 1)) % 2.12/2.30 (step @p286 :rule reordering :premises (@p285) :args ((or @t199 (not @t200)))) % 2.12/2.30 (step @p287 :rule chain_m_resolution :premises (@p286 @p284) :args (@t199 @t139 (@list @t200))) % 2.12/2.30 (step @p288 :rule instantiate :premises (@p287) :args ((@list tptp.xx))) % 2.12/2.30 (step @p289 :rule cnf_or_pos :args (@t205)) % 2.12/2.30 (step @p290 :rule reordering :premises (@p289) :args ((or @t132 @t204 (not @t205)))) % 2.12/2.30 (step @p291 :rule chain_m_resolution :premises (@p290 @p100 @p288) :args (@t204 @t206 (@list @t132 @t205))) % 2.12/2.30 (step @p292 :rule cnf_and_pos :args (@t167 0)) % 2.12/2.30 (step @p293 :rule reordering :premises (@p292) :args ((or @t166 @t207))) % 2.12/2.30 (step @p294 :rule chain_m_resolution :premises (@p293 @p291) :args (@t207 (@list true) (@list @t166))) % 2.12/2.30 (step @p295 :rule cnf_equiv_pos2 :args (@t174)) % 2.12/2.30 (step @p296 :rule reordering :premises (@p295) :args ((or @t167 (not @t173) @t208))) % 2.12/2.30 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p242) :args (@t208 @t206 (@list @t167 @t173))) % 2.12/2.30 (step @p298 :rule bool-impl-elim :args (@t57 @t110)) % 2.12/2.30 (step @p299 :rule cong :premises (@p298) :args (@t111)) % 2.12/2.30 (step @p300 :rule eq_resolve :premises (@p81 @p299)) % 2.12/2.30 (step @p301 :rule instantiate :premises (@p300) :args (@t181)) % 2.12/2.30 (step @p302 :rule cnf_or_pos :args (@t211)) % 2.12/2.30 (step @p303 :rule reordering :premises (@p302) :args ((or @t178 @t210 (not @t211)))) % 2.12/2.31 (step @p304 :rule chain_m_resolution :premises (@p303 @p236 @p301) :args (@t210 @t184 (@list @t129 @t211))) % 2.12/2.31 (step @p305 :rule cnf_and_pos :args (@t210 0)) % 2.12/2.31 (step @p306 :rule reordering :premises (@p305) :args ((or @t169 @t212))) % 2.12/2.31 (step @p307 :rule chain_m_resolution :premises (@p306 @p304) :args (@t169 @t139 @t213)) % 2.12/2.31 (step @p308 :rule cnf_or_pos :args (@t176)) % 2.12/2.31 (step @p309 :rule reordering :premises (@p308) :args ((or @t170 @t175 @t174 (not @t176)))) % 2.12/2.31 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p297 @p214) :args (@t175 (@list false true false) (@list @t169 @t174 @t176))) % 2.12/2.31 (step @p311 :rule symm :premises (@p310)) % 2.12/2.31 (step @p312 :rule cong :premises (@p311) :args (@t209)) % 2.12/2.31 (step @p313 :rule cnf_and_pos :args (@t210 1)) % 2.12/2.31 (step @p314 :rule reordering :premises (@p313) :args ((or @t209 @t212))) % 2.12/2.31 (step @p315 :rule chain_m_resolution :premises (@p314 @p304) :args (@t209 @t139 @t213)) % 2.12/2.31 (step @p316 :rule true_intro :premises (@p315)) % 2.12/2.31 (step @p317 :rule symm :premises (@p316)) % 2.12/2.31 (step @p318 :rule trans :premises (@p317 @p312 @p156)) % 2.12/2.31 (step @p319 false :rule eq_resolve :premises (@p318 @p102)) % 2.12/2.31 ) % 2.12/2.31 % SZS output end Proof % 2.12/2.32 % cvc5 exiting %------------------------------------------------------------------------------