%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM633+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 08:40:05 AM UTC 2026 % Result : Theorem 0.37s 0.69s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM633+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:38:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.69 % SZS status Theorem % 0.37/0.69 % SZS output start Proof % 0.37/0.69 ( % 0.37/0.69 (declare-sort $$unsorted 0) % 0.37/0.69 (declare-const tptp.xe $$unsorted) % 0.37/0.69 (declare-const tptp.xC $$unsorted) % 0.37/0.69 (declare-const tptp.xN $$unsorted) % 0.37/0.69 (declare-const tptp.sz00 $$unsorted) % 0.37/0.69 (declare-const tptp.xc $$unsorted) % 0.37/0.69 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.szNzAzT0 $$unsorted) % 0.37/0.69 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.xd $$unsorted) % 0.37/0.69 (declare-const tptp.xk $$unsorted) % 0.37/0.69 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.xK $$unsorted) % 0.37/0.69 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.xT $$unsorted) % 0.37/0.69 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.xO $$unsorted) % 0.37/0.69 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.xS $$unsorted) % 0.37/0.69 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.slcrc0 $$unsorted) % 0.37/0.69 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.69 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.69 (define @t2 () (tptp.aSet0 @t1)) % 0.37/0.69 (define @t3 () (@list @t1)) % 0.37/0.69 (define @t4 () (tptp.aElement0 @t1)) % 0.37/0.69 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.69 (define @t6 () (tptp.aElement0 @t5)) % 0.37/0.69 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.37/0.69 (define @t8 () (@list @t5)) % 0.37/0.69 (define @t9 () (tptp.isFinite0 @t1)) % 0.37/0.69 (define @t10 () (= @t1 tptp.slcrc0)) % 0.37/0.69 (define @t11 () (tptp.isCountable0 @t1)) % 0.37/0.69 (define @t12 () (not @t9)) % 0.37/0.69 (define @t13 () (and @t2 @t11)) % 0.37/0.69 (define @t14 () (not @t10)) % 0.37/0.69 (define @t15 () (@var "W2" $$unsorted)) % 0.37/0.69 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.37/0.69 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.37/0.69 (define @t18 () (@list @t15)) % 0.37/0.69 (define @t19 () (tptp.aSet0 @t5)) % 0.37/0.69 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.37/0.69 (define @t21 () (tptp.isFinite0 @t5)) % 0.37/0.69 (define @t22 () (and @t2 @t9)) % 0.37/0.69 (define @t23 () (= @t1 @t5)) % 0.37/0.69 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.37/0.69 (define @t25 () (@list @t1 @t5)) % 0.37/0.69 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 0.37/0.69 (define @t27 () (tptp.aSet0 @t15)) % 0.37/0.69 (define @t28 () (@list @t1 @t5 @t15)) % 0.37/0.69 (define @t29 () (@var "W3" $$unsorted)) % 0.37/0.69 (define @t30 () (= @t29 @t5)) % 0.37/0.69 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 0.37/0.69 (define @t32 () (tptp.aElement0 @t29)) % 0.37/0.69 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 0.37/0.69 (define @t34 () (@list @t29)) % 0.37/0.69 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 0.37/0.69 (define @t36 () (and @t2 @t6)) % 0.37/0.69 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 0.37/0.69 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 0.37/0.69 (define @t39 () (tptp.isCountable0 @t5)) % 0.37/0.69 (define @t40 () (and @t19 @t39)) % 0.37/0.69 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 0.37/0.69 (define @t42 () (and @t19 @t21)) % 0.37/0.69 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 0.37/0.69 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.37/0.69 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 0.37/0.69 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.37/0.69 (define @t47 () (and @t44 @t46)) % 0.37/0.69 (define @t48 () (= @t1 tptp.sz00)) % 0.37/0.69 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.37/0.69 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.37/0.69 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.37/0.69 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.37/0.69 (define @t53 () (tptp.sbrdtbr0 @t1)) % 0.37/0.69 (define @t54 () (and @t2 @t46)) % 0.37/0.69 (define @t55 () (tptp.szmzizndt0 @t1)) % 0.37/0.69 (define @t56 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.37/0.69 (define @t57 () (tptp.szmzizndt0 @t5)) % 0.37/0.69 (define @t58 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.37/0.69 (define @t59 () (tptp.slbdtrb0 @t1)) % 0.37/0.69 (define @t60 () (tptp.slbdtrb0 @t5)) % 0.37/0.69 (define @t61 () (tptp.aSubsetOf0 @t29 @t1)) % 0.37/0.69 (define @t62 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.37/0.69 (define @t63 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.37/0.69 (define @t64 () (tptp.aFunction0 @t1)) % 0.37/0.69 (define @t65 () (tptp.szDzozmdt0 @t1)) % 0.37/0.69 (define @t66 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.37/0.69 (define @t67 () (tptp.aElementOf0 @t5 @t65)) % 0.37/0.69 (define @t68 () (tptp.sdtlpdtrp0 @t1 @t29)) % 0.37/0.69 (define @t69 () (tptp.aElementOf0 @t29 @t65)) % 0.37/0.69 (define @t70 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.37/0.69 (define @t71 () (and @t64 @t6)) % 0.37/0.69 (define @t72 () (@var "W4" $$unsorted)) % 0.37/0.69 (define @t73 () (@list @t72)) % 0.37/0.69 (define @t74 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.37/0.69 (define @t75 () (tptp.aSubsetOf0 @t5 @t65)) % 0.37/0.69 (define @t76 () (tptp.sdtlcdtrc0 @t1 @t65)) % 0.37/0.69 (define @t77 () (tptp.szDzozmdt0 @t15)) % 0.37/0.69 (define @t78 () (tptp.aFunction0 @t15)) % 0.37/0.69 (define @t79 () (tptp.szDzizrdt0 @t1)) % 0.37/0.69 (define @t80 () (tptp.szDzozmdt0 tptp.xc)) % 0.37/0.69 (define @t81 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.37/0.69 (define @t82 () (@var "W5" $$unsorted)) % 0.37/0.69 (define @t83 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 0.37/0.69 (define @t84 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.37/0.69 (define @t85 () (tptp.szmzizndt0 @t84)) % 0.37/0.69 (define @t86 () (tptp.sdtmndt0 @t84 @t85)) % 0.37/0.69 (define @t87 () (and (tptp.aSubsetOf0 @t84 tptp.szNzAzT0) (tptp.isCountable0 @t84))) % 0.37/0.69 (define @t88 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.37/0.69 (define @t89 () (tptp.sdtpldt0 @t5 @t85)) % 0.37/0.69 (define @t90 () (tptp.slbdtsldtrb0 @t86 tptp.xk)) % 0.37/0.69 (define @t91 () (and @t19 (tptp.aElementOf0 @t5 @t90))) % 0.37/0.69 (define @t92 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.37/0.69 (define @t93 () (tptp.sdtlpdtrp0 @t92 @t5)) % 0.37/0.69 (define @t94 () (tptp.szDzozmdt0 @t92)) % 0.37/0.69 (define @t95 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.37/0.69 (define @t96 () (tptp.slbdtsldtrb0 @t83 tptp.xk)) % 0.37/0.69 (define @t97 () (tptp.szDzozmdt0 tptp.xd)) % 0.37/0.69 (define @t98 () (tptp.szDzizrdt0 tptp.xd)) % 0.37/0.69 (define @t99 () (tptp.sdtlbdtrb0 tptp.xd @t98)) % 0.37/0.69 (define @t100 () (tptp.aElementOf0 @t98 tptp.xT)) % 0.37/0.69 (define @t101 () (tptp.aSet0 tptp.xO)) % 0.37/0.69 (define @t102 () (tptp.isCountable0 tptp.xO)) % 0.37/0.69 (define @t103 () (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 0.37/0.69 (define @t104 () (tptp.sdtlpdtrp0 tptp.xc @t15)) % 0.37/0.69 (define @t105 () (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xK))) % 0.37/0.69 (define @t106 () (=> @t105 (= @t104 @t1))) % 0.37/0.69 (define @t107 () (forall @t18 @t106)) % 0.37/0.69 (define @t108 () (tptp.aSubsetOf0 @t5 tptp.xS)) % 0.37/0.69 (define @t109 () (and @t108 @t39 @t107)) % 0.37/0.69 (define @t110 () (exists @t8 @t109)) % 0.37/0.69 (define @t111 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.37/0.69 (define @t112 () (and @t111 @t110)) % 0.37/0.69 (define @t113 () (exists @t3 @t112)) % 0.37/0.69 (define @t114 () (tptp.sdtlpdtrp0 tptp.xc @t1)) % 0.37/0.69 (define @t115 () (tptp.aElementOf0 @t1 @t80)) % 0.37/0.69 (define @t116 () (and @t14 @t56 @t115 (= @t114 @t98))) % 0.37/0.69 (define @t117 () (tptp.slbdtsldtrb0 tptp.xO tptp.xK)) % 0.37/0.69 (define @t118 () (tptp.aElementOf0 @t1 @t117)) % 0.37/0.69 (define @t119 () (=> @t118 @t116)) % 0.37/0.69 (define @t120 () (forall @t3 @t119)) % 0.37/0.69 (define @t121 () (=> @t120 @t113)) % 0.37/0.69 (define @t122 () (not @t121)) % 0.37/0.69 (define @t123 () (= @t1 @t104)) % 0.37/0.69 (define @t124 () (@var "BOUND_VARIABLE_9717" $$unsorted)) % 0.37/0.69 (define @t125 () (not (forall @t18 (or (not (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t124 tptp.xK))) @t123)))) % 0.37/0.69 (define @t126 () (not (tptp.isCountable0 @t124))) % 0.37/0.69 (define @t127 () (not (tptp.aSubsetOf0 @t124 tptp.xS))) % 0.37/0.69 (define @t128 () (not @t111)) % 0.37/0.69 (define @t129 () (or @t127 @t126 @t125)) % 0.37/0.69 (define @t130 () (or @t128 @t129)) % 0.37/0.69 (define @t131 () (forall (@list @t1 @t124) @t130)) % 0.37/0.69 (define @t132 () (@list @t124)) % 0.37/0.69 (define @t133 () (forall @t132 @t130)) % 0.37/0.69 (define @t134 () (forall @t132 @t129)) % 0.37/0.69 (define @t135 () (or @t128 @t134)) % 0.37/0.69 (define @t136 () (forall @t18 (or (not @t105) @t123))) % 0.37/0.69 (define @t137 () (not @t136)) % 0.37/0.69 (define @t138 () (not @t39)) % 0.37/0.69 (define @t139 () (not @t108)) % 0.37/0.69 (define @t140 () (or @t139 @t138 @t137)) % 0.37/0.69 (define @t141 () (forall @t8 @t140)) % 0.37/0.69 (define @t142 () (not @t141)) % 0.37/0.69 (define @t143 () (and @t111 @t142)) % 0.37/0.69 (define @t144 () (forall @t3 (not @t143))) % 0.37/0.69 (define @t145 () (not @t144)) % 0.37/0.69 (define @t146 () (and @t108 @t39 @t136)) % 0.37/0.69 (define @t147 () (forall @t8 (not @t146))) % 0.37/0.69 (define @t148 () (not @t147)) % 0.37/0.69 (define @t149 () (@var "BOUND_VARIABLE_9674" $$unsorted)) % 0.37/0.69 (define @t150 () (forall (@list @t149) (or (= @t98 (tptp.sdtlpdtrp0 tptp.xc @t149)) (not (tptp.aElementOf0 @t149 @t117))))) % 0.37/0.69 (define @t151 () (@var "BOUND_VARIABLE_9666" $$unsorted)) % 0.37/0.69 (define @t152 () (forall (@list @t151) (or (tptp.aElementOf0 @t151 @t80) (not (tptp.aElementOf0 @t151 @t117))))) % 0.37/0.69 (define @t153 () (@var "BOUND_VARIABLE_9658" $$unsorted)) % 0.37/0.69 (define @t154 () (forall (@list @t153) (or (tptp.aSubsetOf0 @t153 tptp.szNzAzT0) (not (tptp.aElementOf0 @t153 @t117))))) % 0.37/0.69 (define @t155 () (not (tptp.aElementOf0 tptp.slcrc0 @t117))) % 0.37/0.69 (define @t156 () (not (= tptp.slcrc0 tptp.slcrc0))) % 0.37/0.69 (define @t157 () (or @t156 @t155)) % 0.37/0.69 (define @t158 () (@var "BOUND_VARIABLE_9649" $$unsorted)) % 0.37/0.69 (define @t159 () (not (tptp.aElementOf0 @t158 @t117))) % 0.37/0.69 (define @t160 () (not (= tptp.slcrc0 @t158))) % 0.37/0.69 (define @t161 () (not (= @t158 tptp.slcrc0))) % 0.37/0.69 (define @t162 () (@list @t158)) % 0.37/0.69 (define @t163 () (or @t160 @t160 @t159)) % 0.37/0.69 (define @t164 () (or @t160 @t159)) % 0.37/0.69 (define @t165 () (or @t161 @t159)) % 0.37/0.69 (define @t166 () (forall @t162 @t165)) % 0.37/0.69 (define @t167 () (not @t118)) % 0.37/0.69 (define @t168 () (= @t98 @t114)) % 0.37/0.69 (define @t169 () (or @t168 @t167)) % 0.37/0.69 (define @t170 () (forall @t3 @t169)) % 0.37/0.69 (define @t171 () (@list @t1)) % 0.37/0.69 (define @t172 () (@list @t149)) % 0.37/0.69 (define @t173 () (or @t115 @t167)) % 0.37/0.69 (define @t174 () (forall @t3 @t173)) % 0.37/0.69 (define @t175 () (or @t56 @t167)) % 0.37/0.69 (define @t176 () (forall @t3 @t175)) % 0.37/0.69 (define @t177 () (or @t14 @t167)) % 0.37/0.69 (define @t178 () (forall @t3 @t177)) % 0.37/0.69 (define @t179 () (and @t178 @t176 @t174 @t170)) % 0.37/0.69 (define @t180 () (and @t177 @t175 @t173 @t169)) % 0.37/0.69 (define @t181 () (and @t14 @t56 @t115 @t168)) % 0.37/0.69 (define @t182 () (or @t181 @t167)) % 0.37/0.69 (define @t183 () (or @t167 @t181)) % 0.37/0.69 (define @t184 () (not (tptp.aElementOf0 @t15 @t117))) % 0.37/0.69 (define @t185 () (= @t98 @t104)) % 0.37/0.69 (define @t186 () (or @t185 @t184)) % 0.37/0.69 (define @t187 () (or @t184 @t185)) % 0.37/0.69 (define @t188 () (forall @t18 @t187)) % 0.37/0.69 (define @t189 () (forall @t18 @t186)) % 0.37/0.69 (define @t190 () (not @t188)) % 0.37/0.69 (define @t191 () (not @t102)) % 0.37/0.69 (define @t192 () (not @t103)) % 0.37/0.69 (define @t193 () (not @t100)) % 0.37/0.69 (define @t194 () (or @t193 @t192 @t191 @t190)) % 0.37/0.69 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.69 (assume @p2 (forall @t3 (=> @t4 true))) % 0.37/0.69 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.37/0.69 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.37/0.69 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.37/0.69 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.37/0.69 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.37/0.69 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.37/0.69 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.37/0.69 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.37/0.69 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.37/0.69 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.37/0.69 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.37/0.69 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 0.37/0.69 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 0.37/0.69 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 0.37/0.69 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 0.37/0.69 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 0.37/0.69 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 0.37/0.69 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 0.37/0.69 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 0.37/0.69 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 0.37/0.69 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.37/0.69 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.37/0.69 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 0.37/0.69 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 0.37/0.69 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 0.37/0.69 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 0.37/0.69 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 0.37/0.69 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.37/0.69 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 0.37/0.69 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 0.37/0.69 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 0.37/0.69 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.37/0.69 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 0.37/0.69 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.37/0.69 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 0.37/0.69 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.37/0.69 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 0.37/0.69 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 0.37/0.69 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 0.37/0.69 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 0.37/0.69 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 0.37/0.69 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 0.37/0.69 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t53)))))) % 0.37/0.69 (assume @p46 (forall @t25 (=> @t54 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 0.37/0.69 (assume @p47 (forall @t3 (=> (and @t56 @t14) (forall @t8 (= (= @t5 @t55) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 0.37/0.69 (assume @p48 (forall @t3 (=> (and @t56 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.37/0.69 (assume @p49 (forall @t25 (=> (and @t56 @t58 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t55 @t5) (tptp.aElementOf0 @t57 @t1)) (= @t55 @t57))))) % 0.37/0.69 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t59) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.37/0.69 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t59)))) % 0.37/0.69 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.37/0.69 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t60) @t23))))) % 0.37/0.69 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t59 @t60))))) % 0.37/0.69 (assume @p55 (forall @t3 (=> (and @t56 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t60)))))) % 0.37/0.69 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t59) @t1)))) % 0.37/0.69 (assume @p57 (forall @t25 (=> @t54 (forall @t18 (= (= @t15 @t62) (and @t27 (forall @t34 (= @t33 (and @t61 (= (tptp.sbrdtbr0 @t29) @t5)))))))))) % 0.37/0.69 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t62)))))) % 0.37/0.69 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t62 tptp.slcrc0))))))) % 0.37/0.69 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t62)))))) % 0.37/0.69 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t63 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t63 tptp.slcrc0))) @t26)))))) % 0.37/0.69 (assume @p62 (forall @t25 (=> @t54 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t62) (tptp.isFinite0 @t15)) (exists @t34 (and @t61 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 0.37/0.69 (assume @p63 (forall @t3 (=> @t64 true))) % 0.37/0.69 (assume @p64 (forall @t3 (=> @t64 (tptp.aSet0 @t65)))) % 0.37/0.69 (assume @p65 (forall @t3 (=> @t64 (forall @t8 (=> @t67 (tptp.aElement0 @t66)))))) % 0.37/0.69 (assume @p66 (forall @t25 (=> @t71 (forall @t18 (= (= @t15 @t70) (and @t27 (forall @t34 (= @t33 (and @t69 (= @t68 @t5)))))))))) % 0.37/0.69 (assume @p67 (forall @t25 (=> @t71 (tptp.aSubsetOf0 @t70 @t65)))) % 0.37/0.69 (assume @p68 (forall @t3 (=> @t64 (forall @t8 (=> @t75 (forall @t18 (= (= @t15 @t74) (and @t27 (forall @t34 (= @t33 (exists @t73 (and (tptp.aElementOf0 @t72 @t5) (= (tptp.sdtlpdtrp0 @t1 @t72) @t29))))))))))))) % 0.37/0.69 (assume @p69 (forall @t3 (=> @t64 (forall @t8 (=> @t67 (tptp.aElementOf0 @t66 @t76)))))) % 0.37/0.69 (assume @p70 (forall @t3 (=> @t64 (forall @t8 (=> @t75 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t78 (= @t77 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t68))))))))))) % 0.37/0.69 (assume @p71 (forall @t3 (=> @t64 (forall @t8 (=> (and @t75 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t65) @t69 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t68)))) (tptp.isCountable0 @t74))))))) % 0.37/0.69 (assume @p72 (forall @t3 (=> @t64 (=> (and (tptp.isCountable0 @t65) (tptp.isFinite0 @t76)) (and (tptp.aElement0 @t79) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t79))))))) % 0.37/0.69 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.37/0.69 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.37/0.69 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.37/0.69 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t80 @t81) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t80) tptp.xT))) % 0.37/0.69 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and @t58 @t39) (forall @t18 (=> (and @t78 (= @t77 @t63) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t77) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and (tptp.aElementOf0 @t29 tptp.xT) (exists @t73 (and (tptp.aSubsetOf0 @t72 @t5) (tptp.isCountable0 @t72) (forall (@list @t82) (=> (tptp.aElementOf0 @t82 (tptp.slbdtsldtrb0 @t72 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t82) @t29))))))))))))))) % 0.37/0.69 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.37/0.69 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.37/0.69 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> @t87 (and (tptp.aSubsetOf0 @t83 @t86) (tptp.isCountable0 @t83))))))) % 0.37/0.69 (assume @p81 (forall @t3 (=> @t44 @t87))) % 0.37/0.69 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (tptp.aSubsetOf0 @t84 @t88))))) % 0.37/0.69 (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (= @t85 (tptp.szmzizndt0 @t88)))))) % 0.37/0.69 (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t91 (tptp.aElementOf0 @t89 @t81)))))) % 0.37/0.69 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aFunction0 @t92) (= @t94 @t90) (forall @t8 (=> @t91 (= @t93 (tptp.sdtlpdtrp0 tptp.xc @t89))))))))) % 0.37/0.69 (assume @p86 (forall @t3 (=> @t44 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t92 @t94) tptp.xT)))) % 0.37/0.69 (assume @p87 (forall @t3 (=> @t44 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t86) @t39) (forall @t18 (=> (and @t27 (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t15 @t90)))))))) % 0.37/0.69 (assume @p88 (forall @t3 (=> @t44 (exists @t8 (and @t95 (exists @t18 (and (tptp.aSubsetOf0 @t15 @t86) (tptp.isCountable0 @t15) (forall @t34 (=> (and (tptp.aSet0 @t29) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk))) (= (tptp.sdtlpdtrp0 @t92 @t29) @t5)))))))))) % 0.37/0.69 (assume @p89 (forall @t3 (=> @t44 (exists @t8 (and @t95 (forall @t18 (=> (and @t27 (tptp.aElementOf0 @t15 @t96)) (= (tptp.sdtlpdtrp0 @t92 @t15) @t5)))))))) % 0.37/0.69 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t44 (= (tptp.sdtlpdtrp0 tptp.xe @t1) @t85))))) % 0.37/0.69 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t97 tptp.szNzAzT0) (forall @t3 (=> @t44 (forall @t8 (=> (and @t19 (tptp.aElementOf0 @t5 @t96)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t93))))))) % 0.37/0.69 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t97) tptp.xT)) % 0.37/0.69 (assume @p93 (and @t100 (tptp.isCountable0 @t99))) % 0.37/0.69 (assume @p94 (and @t101 (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t99)))) % 0.37/0.69 (assume @p95 (and @t101 @t102)) % 0.37/0.69 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t46 (tptp.aElementOf0 @t5 @t99) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 0.37/0.69 (assume @p97 @t103) % 0.37/0.69 (assume @p98 @t122) % 0.37/0.69 (assume @p99 true) % 0.37/0.69 (step @p100 :rule and_elim :premises (@p93) :args (0)) % 0.37/0.69 (step @p101 :rule and_elim :premises (@p95) :args (1)) % 0.37/0.69 (step @p102 :rule aci_norm :args ((= @t130 (or @t128 @t127 @t126 @t125)))) % 0.37/0.69 (step @p103 :rule cong :premises (@p102) :args (@t131)) % 0.37/0.69 (step @p104 :rule quant-merge-prenex :args ((= (forall @t3 @t133) @t131))) % 0.37/0.69 (step @p105 :rule alpha_equiv :args (@t134 (@list @t124) (@list @t5))) % 0.37/0.69 (step @p106 :rule refl :args (@t128)) % 0.37/0.69 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t135)) % 0.37/0.69 (step @p108 :rule quant-miniscope-or :args ((= @t133 @t135))) % 0.37/0.69 (step @p109 :rule trans :premises (@p108 @p107)) % 0.37/0.69 (step @p110 :rule symm :premises (@p109)) % 0.37/0.69 (step @p111 :rule cong :premises (@p110) :args ((forall @t3 (or @t128 @t141)))) % 0.37/0.69 (step @p112 :rule trans :premises (@p111 @p104)) % 0.37/0.69 (step @p113 :rule trans :premises (@p112 @p103)) % 0.37/0.69 (step @p114 :rule bool-double-not-elim :args (@t141)) % 0.37/0.69 (step @p115 :rule nary_cong :premises (@p106 @p114) :args ((or @t128 (not @t142)))) % 0.37/0.69 (step @p116 :rule bool-and-de-morgan :args (@t111 @t142 true)) % 0.37/0.69 (step @p117 :rule trans :premises (@p116 @p115)) % 0.37/0.69 (step @p118 :rule cong :premises (@p117) :args (@t144)) % 0.37/0.69 (step @p119 :rule trans :premises (@p118 @p113)) % 0.37/0.69 (step @p120 :rule cong :premises (@p119) :args (@t145)) % 0.37/0.69 (step @p121 :rule exists-elim :args ((= (exists @t3 @t143) @t145))) % 0.37/0.69 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.69 (step @p123 :rule aci_norm :args ((= (or @t139 (or @t138 @t137)) @t140))) % 0.37/0.69 (step @p124 :rule bool-and-de-morgan :args (@t39 @t136 true)) % 0.37/0.69 (step @p125 :rule refl :args (@t139)) % 0.37/0.69 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t139 (not (and @t39 @t136))))) % 0.37/0.69 (step @p127 :rule bool-and-de-morgan :args (@t108 @t39 (and @t136))) % 0.37/0.69 (step @p128 :rule trans :premises (@p127 @p126)) % 0.37/0.69 (step @p129 :rule trans :premises (@p128 @p123)) % 0.37/0.69 (step @p130 :rule cong :premises (@p129) :args (@t147)) % 0.37/0.69 (step @p131 :rule cong :premises (@p130) :args (@t148)) % 0.37/0.69 (step @p132 :rule exists-elim :args ((= (exists @t8 @t146) @t148))) % 0.37/0.69 (step @p133 :rule trans :premises (@p132 @p131)) % 0.37/0.69 (step @p134 :rule bool-impl-elim :args (@t105 @t123)) % 0.37/0.69 (step @p135 :rule cong :premises (@p134) :args ((forall @t18 (=> @t105 @t123)))) % 0.37/0.69 (step @p136 :rule eq-symm :args (@t104 @t1)) % 0.37/0.69 (step @p137 :rule refl :args (@t105)) % 0.37/0.69 (step @p138 :rule cong :premises (@p137 @p136) :args (@t106)) % 0.37/0.69 (step @p139 :rule cong :premises (@p138) :args (@t107)) % 0.37/0.69 (step @p140 :rule trans :premises (@p139 @p135)) % 0.37/0.69 (step @p141 :rule refl :args (@t39)) % 0.37/0.69 (step @p142 :rule refl :args (@t108)) % 0.37/0.69 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args (@t109)) % 0.37/0.69 (step @p144 :rule cong :premises (@p143) :args (@t110)) % 0.37/0.69 (step @p145 :rule trans :premises (@p144 @p133)) % 0.37/0.69 (step @p146 :rule refl :args (@t111)) % 0.37/0.69 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t112)) % 0.37/0.69 (step @p148 :rule cong :premises (@p147) :args (@t113)) % 0.37/0.69 (step @p149 :rule trans :premises (@p148 @p122)) % 0.37/0.69 (step @p150 :rule refl :args (@t150)) % 0.37/0.69 (step @p151 :rule refl :args (@t152)) % 0.37/0.69 (step @p152 :rule refl :args (@t154)) % 0.37/0.69 (step @p153 :rule aci_norm :args ((= (or false @t155) @t155))) % 0.37/0.69 (step @p154 :rule refl :args (@t155)) % 0.37/0.69 (step @p155 :rule evaluate :args ((not true))) % 0.37/0.69 (step @p156 :rule eq-refl :args (tptp.slcrc0)) % 0.37/0.69 (step @p157 :rule cong :premises (@p156) :args (@t156)) % 0.37/0.69 (step @p158 :rule trans :premises (@p157 @p155)) % 0.37/0.69 (step @p159 :rule nary_cong :premises (@p158 @p154) :args (@t157)) % 0.37/0.69 (step @p160 :rule trans :premises (@p159 @p153)) % 0.37/0.69 (step @p161 :rule quant-var-elim-eq :args ((= (forall @t162 (or @t161 @t160 @t159)) @t157))) % 0.37/0.69 (step @p162 :rule refl :args (@t159)) % 0.37/0.69 (step @p163 :rule refl :args (@t160)) % 0.37/0.69 (step @p164 :rule eq-symm :args (tptp.slcrc0 @t158)) % 0.37/0.69 (step @p165 :rule cong :premises (@p164) :args (@t160)) % 0.37/0.69 (step @p166 :rule nary_cong :premises (@p165 @p163 @p162) :args (@t163)) % 0.37/0.69 (step @p167 :rule aci_norm :args ((= @t164 @t163))) % 0.37/0.69 (step @p168 :rule trans :premises (@p167 @p166)) % 0.37/0.69 (step @p169 :rule cong :premises (@p168) :args ((forall @t162 @t164))) % 0.37/0.69 (step @p170 :rule trans :premises (@p169 @p161)) % 0.37/0.69 (step @p171 :rule trans :premises (@p170 @p160)) % 0.37/0.69 (step @p172 :rule refl :args (@t159)) % 0.37/0.69 (step @p173 :rule eq-symm :args (@t158 tptp.slcrc0)) % 0.37/0.69 (step @p174 :rule cong :premises (@p173) :args (@t161)) % 0.37/0.69 (step @p175 :rule nary_cong :premises (@p174 @p172) :args (@t165)) % 0.37/0.69 (step @p176 :rule cong :premises (@p175) :args (@t166)) % 0.37/0.69 (step @p177 :rule trans :premises (@p176 @p171)) % 0.37/0.69 (step @p178 :rule nary_cong :premises (@p177 @p152 @p151 @p150) :args ((and @t166 @t154 @t152 @t150))) % 0.37/0.69 (step @p179 :rule alpha_equiv :args (@t170 @t171 @t172)) % 0.37/0.69 (step @p180 :rule alpha_equiv :args (@t174 @t171 (@list @t151))) % 0.37/0.69 (step @p181 :rule alpha_equiv :args (@t176 @t171 (@list @t153))) % 0.37/0.69 (step @p182 :rule alpha_equiv :args (@t178 @t171 (@list @t158))) % 0.37/0.69 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180 @p179) :args (@t179)) % 0.37/0.69 (step @p184 :rule quant-miniscope-and :args ((= (forall @t3 @t180) @t179))) % 0.37/0.69 (step @p185 :rule trans :premises (@p184 @p183)) % 0.37/0.69 (step @p186 :rule trans :premises (@p185 @p178)) % 0.37/0.69 (step @p187 :rule aci_norm :args ((= (and @t177 (and @t175 (and @t173 @t169))) @t180))) % 0.37/0.69 (step @p188 :rule bool-or-and-distrib :args (@t115 @t168 true @t167 false)) % 0.37/0.69 (step @p189 :rule refl :args (@t175)) % 0.37/0.69 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((and @t175 (or (and @t115 @t168) @t167)))) % 0.37/0.69 (step @p191 :rule bool-or-and-distrib :args (@t56 @t115 (and @t168) @t167 false)) % 0.37/0.69 (step @p192 :rule trans :premises (@p191 @p190)) % 0.37/0.69 (step @p193 :rule refl :args (@t177)) % 0.37/0.69 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((and @t177 (or (and @t56 @t115 @t168) @t167)))) % 0.37/0.69 (step @p195 :rule bool-or-and-distrib :args (@t14 @t56 (and @t115 @t168) @t167 false)) % 0.37/0.69 (step @p196 :rule trans :premises (@p195 @p194)) % 0.37/0.69 (step @p197 :rule trans :premises (@p196 @p187)) % 0.37/0.69 (step @p198 :rule cong :premises (@p197) :args ((forall @t3 @t182))) % 0.37/0.69 (step @p199 :rule trans :premises (@p198 @p186)) % 0.37/0.69 (step @p200 :rule aci_norm :args ((= @t183 @t182))) % 0.37/0.69 (step @p201 :rule cong :premises (@p200) :args ((forall @t3 @t183))) % 0.37/0.69 (step @p202 :rule trans :premises (@p201 @p199)) % 0.37/0.69 (step @p203 :rule bool-impl-elim :args (@t118 @t181)) % 0.37/0.69 (step @p204 :rule cong :premises (@p203) :args ((forall @t3 (=> @t118 @t181)))) % 0.37/0.69 (step @p205 :rule trans :premises (@p204 @p202)) % 0.37/0.69 (step @p206 :rule eq-symm :args (@t114 @t98)) % 0.37/0.69 (step @p207 :rule refl :args (@t115)) % 0.37/0.69 (step @p208 :rule refl :args (@t56)) % 0.37/0.69 (step @p209 :rule refl :args (@t14)) % 0.37/0.69 (step @p210 :rule nary_cong :premises (@p209 @p208 @p207 @p206) :args (@t116)) % 0.37/0.69 (step @p211 :rule refl :args (@t118)) % 0.37/0.69 (step @p212 :rule cong :premises (@p211 @p210) :args (@t119)) % 0.37/0.69 (step @p213 :rule cong :premises (@p212) :args (@t120)) % 0.37/0.69 (step @p214 :rule trans :premises (@p213 @p205)) % 0.37/0.69 (step @p215 :rule cong :premises (@p214 @p149) :args (@t121)) % 0.37/0.69 (step @p216 :rule cong :premises (@p215) :args (@t122)) % 0.37/0.69 (step @p217 :rule eq_resolve :premises (@p98 @p216)) % 0.37/0.69 (step @p218 :rule not_implies_elim1 :premises (@p217)) % 0.37/0.69 (step @p219 :rule and_elim :premises (@p218) :args (3)) % 0.37/0.69 (step @p220 :rule aci_norm :args ((= @t187 @t186))) % 0.37/0.69 (step @p221 :rule cong :premises (@p220) :args (@t188)) % 0.37/0.69 (step @p222 :rule symm :premises (@p221)) % 0.37/0.69 (step @p223 :rule true_intro :premises (@p222)) % 0.37/0.69 (step @p224 :rule eq-symm :args (@t188 @t189)) % 0.37/0.69 (step @p225 :rule trans :premises (@p224 @p223)) % 0.37/0.69 (step @p226 :rule cong :premises (@p222 @p221) :args ((= @t189 @t188))) % 0.37/0.69 (step @p227 :rule trans :premises (@p226 @p225)) % 0.37/0.69 (step @p228 :rule true_elim :premises (@p227)) % 0.37/0.69 (step @p229 :rule alpha_equiv :args (@t150 @t172 (@list @t15))) % 0.37/0.69 (step @p230 :rule trans :premises (@p229 @p228)) % 0.37/0.69 (step @p231 :rule equiv_elim1 :premises (@p230)) % 0.37/0.69 (step @p232 :rule chain_m_resolution :premises (@p231 @p219) :args (@t188 (@list false) (@list @t150))) % 0.37/0.69 (step @p233 :rule not_implies_elim2 :premises (@p217)) % 0.37/0.69 (step @p234 :rule not_not_elim :premises (@p233)) % 0.37/0.69 (step @p235 :rule instantiate :premises (@p234) :args ((@list @t98 tptp.xO))) % 0.37/0.69 (step @p236 :rule cnf_or_pos :args (@t194)) % 0.37/0.69 (step @p237 :rule reordering :premises (@p236) :args ((or @t193 @t191 @t192 @t190 (not @t194)))) % 0.37/0.69 (step @p238 false :rule chain_m_resolution :premises (@p237 @p235 @p232 @p97 @p101 @p100) :args (false (@list false false false false false) (@list @t194 @t188 @t103 @t102 @t100))) % 0.37/0.69 ) % 0.37/0.69 % SZS output end Proof % 0.37/0.69 % cvc5 exiting %------------------------------------------------------------------------------