%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM564+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 : n025.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 08:39:51 AM UTC 2026 % Result : Theorem 19.13s 19.30s % Output : Proof 19.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM564+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 : n025.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 11:30:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 19.13/19.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.13/19.30 --- Run --no-e-matching --full-saturate-quant at 6... % 19.13/19.30 % SZS status Theorem % 19.13/19.30 % SZS output start Proof % 19.13/19.30 ( % 19.13/19.30 (declare-sort $$unsorted 0) % 19.13/19.30 (declare-const tptp.sz00 $$unsorted) % 19.13/19.30 (declare-const tptp.xc $$unsorted) % 19.13/19.30 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 19.13/19.30 (declare-const tptp.szNzAzT0 $$unsorted) % 19.13/19.30 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 19.13/19.30 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 19.13/19.30 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 19.13/19.30 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 19.13/19.30 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 19.13/19.30 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 19.13/19.30 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 19.13/19.30 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 19.13/19.30 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.xK $$unsorted) % 19.13/19.30 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.xT $$unsorted) % 19.13/19.30 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.xS $$unsorted) % 19.13/19.30 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.slcrc0 $$unsorted) % 19.13/19.30 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 19.13/19.30 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 19.13/19.30 (define @t1 () (@var "W0" $$unsorted)) % 19.13/19.30 (define @t2 () (tptp.aSet0 @t1)) % 19.13/19.30 (define @t3 () (@list @t1)) % 19.13/19.30 (define @t4 () (tptp.aElement0 @t1)) % 19.13/19.30 (define @t5 () (@var "W1" $$unsorted)) % 19.13/19.31 (define @t6 () (tptp.aElement0 @t5)) % 19.13/19.31 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 19.13/19.31 (define @t8 () (@list @t5)) % 19.13/19.31 (define @t9 () (tptp.isFinite0 @t1)) % 19.13/19.31 (define @t10 () (exists @t8 @t7)) % 19.13/19.31 (define @t11 () (not @t10)) % 19.13/19.31 (define @t12 () (and @t2 @t11)) % 19.13/19.31 (define @t13 () (= @t1 tptp.slcrc0)) % 19.13/19.31 (define @t14 () (= @t13 @t12)) % 19.13/19.31 (define @t15 () (forall @t3 @t14)) % 19.13/19.31 (define @t16 () (tptp.isCountable0 @t1)) % 19.13/19.31 (define @t17 () (not @t9)) % 19.13/19.31 (define @t18 () (and @t2 @t16)) % 19.13/19.31 (define @t19 () (not @t13)) % 19.13/19.31 (define @t20 () (@var "W2" $$unsorted)) % 19.13/19.31 (define @t21 () (tptp.aElementOf0 @t20 @t1)) % 19.13/19.31 (define @t22 () (tptp.aElementOf0 @t20 @t5)) % 19.13/19.31 (define @t23 () (@list @t20)) % 19.13/19.31 (define @t24 () (forall @t23 (=> @t22 @t21))) % 19.13/19.31 (define @t25 () (tptp.aSet0 @t5)) % 19.13/19.31 (define @t26 () (and @t25 @t24)) % 19.13/19.31 (define @t27 () (tptp.aSubsetOf0 @t5 @t1)) % 19.13/19.31 (define @t28 () (= @t27 @t26)) % 19.13/19.31 (define @t29 () (forall @t8 @t28)) % 19.13/19.31 (define @t30 () (=> @t2 @t29)) % 19.13/19.31 (define @t31 () (forall @t3 @t30)) % 19.13/19.31 (define @t32 () (tptp.isFinite0 @t5)) % 19.13/19.31 (define @t33 () (and @t2 @t9)) % 19.13/19.31 (define @t34 () (= @t1 @t5)) % 19.13/19.31 (define @t35 () (tptp.aSubsetOf0 @t1 @t5)) % 19.13/19.31 (define @t36 () (@list @t1 @t5)) % 19.13/19.31 (define @t37 () (tptp.aSubsetOf0 @t5 @t20)) % 19.13/19.31 (define @t38 () (tptp.aSet0 @t20)) % 19.13/19.31 (define @t39 () (@list @t1 @t5 @t20)) % 19.13/19.31 (define @t40 () (@var "W3" $$unsorted)) % 19.13/19.31 (define @t41 () (= @t40 @t5)) % 19.13/19.31 (define @t42 () (tptp.aElementOf0 @t40 @t1)) % 19.13/19.31 (define @t43 () (tptp.aElement0 @t40)) % 19.13/19.31 (define @t44 () (tptp.aElementOf0 @t40 @t20)) % 19.13/19.31 (define @t45 () (@list @t40)) % 19.13/19.31 (define @t46 () (tptp.sdtpldt0 @t1 @t5)) % 19.13/19.31 (define @t47 () (and @t2 @t6)) % 19.13/19.31 (define @t48 () (tptp.sdtmndt0 @t1 @t5)) % 19.13/19.31 (define @t49 () (tptp.sdtpldt0 @t5 @t1)) % 19.13/19.31 (define @t50 () (tptp.isCountable0 @t5)) % 19.13/19.31 (define @t51 () (and @t25 @t50)) % 19.13/19.31 (define @t52 () (tptp.sdtmndt0 @t5 @t1)) % 19.13/19.31 (define @t53 () (and @t25 @t32)) % 19.13/19.31 (define @t54 () (tptp.aSet0 tptp.szNzAzT0)) % 19.13/19.31 (define @t55 () (tptp.szszuzczcdt0 @t1)) % 19.13/19.31 (define @t56 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 19.13/19.31 (define @t57 () (tptp.szszuzczcdt0 @t5)) % 19.13/19.31 (define @t58 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 19.13/19.31 (define @t59 () (and @t56 @t58)) % 19.13/19.31 (define @t60 () (= @t1 tptp.sz00)) % 19.13/19.31 (define @t61 () (tptp.sdtlseqdt0 @t1 @t5)) % 19.13/19.31 (define @t62 () (tptp.sdtlseqdt0 @t5 @t20)) % 19.13/19.31 (define @t63 () (tptp.aElementOf0 @t20 tptp.szNzAzT0)) % 19.13/19.31 (define @t64 () (tptp.sbrdtbr0 @t1)) % 19.13/19.31 (define @t65 () (not @t7)) % 19.13/19.31 (define @t66 () (and @t2 @t58)) % 19.13/19.31 (define @t67 () (tptp.szmzizndt0 @t1)) % 19.13/19.31 (define @t68 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 19.13/19.31 (define @t69 () (tptp.szmzizndt0 @t5)) % 19.13/19.31 (define @t70 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 19.13/19.31 (define @t71 () (tptp.slbdtrb0 @t1)) % 19.13/19.31 (define @t72 () (tptp.slbdtrb0 tptp.sz00)) % 19.13/19.31 (define @t73 () (tptp.slbdtrb0 @t5)) % 19.13/19.31 (define @t74 () (tptp.sbrdtbr0 @t71)) % 19.13/19.31 (define @t75 () (=> @t56 (= @t74 @t1))) % 19.13/19.31 (define @t76 () (forall @t3 @t75)) % 19.13/19.31 (define @t77 () (tptp.sbrdtbr0 @t40)) % 19.13/19.31 (define @t78 () (tptp.aSubsetOf0 @t40 @t1)) % 19.13/19.31 (define @t79 () (and @t78 (= @t77 @t5))) % 19.13/19.31 (define @t80 () (= @t44 @t79)) % 19.13/19.31 (define @t81 () (forall @t45 @t80)) % 19.13/19.31 (define @t82 () (and @t38 @t81)) % 19.13/19.31 (define @t83 () (tptp.slbdtsldtrb0 @t1 @t5)) % 19.13/19.31 (define @t84 () (= @t20 @t83)) % 19.13/19.31 (define @t85 () (= @t84 @t82)) % 19.13/19.31 (define @t86 () (forall @t23 @t85)) % 19.13/19.31 (define @t87 () (=> @t66 @t86)) % 19.13/19.31 (define @t88 () (forall @t36 @t87)) % 19.13/19.31 (define @t89 () (tptp.slbdtsldtrb0 @t5 @t1)) % 19.13/19.31 (define @t90 () (tptp.aFunction0 @t1)) % 19.13/19.31 (define @t91 () (tptp.szDzozmdt0 @t1)) % 19.13/19.31 (define @t92 () (tptp.sdtlpdtrp0 @t1 @t5)) % 19.13/19.31 (define @t93 () (tptp.aElementOf0 @t5 @t91)) % 19.13/19.31 (define @t94 () (tptp.sdtlpdtrp0 @t1 @t40)) % 19.13/19.31 (define @t95 () (tptp.aElementOf0 @t40 @t91)) % 19.13/19.31 (define @t96 () (tptp.sdtlbdtrb0 @t1 @t5)) % 19.13/19.31 (define @t97 () (and @t90 @t6)) % 19.13/19.31 (define @t98 () (@var "W4" $$unsorted)) % 19.13/19.31 (define @t99 () (@list @t98)) % 19.13/19.31 (define @t100 () (tptp.sdtlcdtrc0 @t1 @t5)) % 19.13/19.31 (define @t101 () (tptp.aSubsetOf0 @t5 @t91)) % 19.13/19.31 (define @t102 () (tptp.sdtlcdtrc0 @t1 @t91)) % 19.13/19.31 (define @t103 () (tptp.szDzozmdt0 @t20)) % 19.13/19.31 (define @t104 () (tptp.aFunction0 @t20)) % 19.13/19.31 (define @t105 () (tptp.szDzizrdt0 @t1)) % 19.13/19.31 (define @t106 () (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 19.13/19.31 (define @t107 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 19.13/19.31 (define @t108 () (tptp.szDzozmdt0 tptp.xc)) % 19.13/19.31 (define @t109 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 19.13/19.31 (define @t110 () (= @t108 @t109)) % 19.13/19.31 (define @t111 () (@var "W5" $$unsorted)) % 19.13/19.31 (define @t112 () (tptp.slbdtsldtrb0 tptp.xS tptp.sz00)) % 19.13/19.31 (define @t113 () (tptp.aElementOf0 tptp.slcrc0 @t112)) % 19.13/19.31 (define @t114 () (not @t113)) % 19.13/19.31 (define @t115 () (tptp.slbdtrb0 tptp.xK)) % 19.13/19.31 (define @t116 () (= @t1 @t115)) % 19.13/19.31 (define @t117 () (forall @t8 @t65)) % 19.13/19.31 (define @t118 () (and @t2 @t117)) % 19.13/19.31 (define @t119 () (= @t13 @t118)) % 19.13/19.31 (define @t120 () (forall @t8 (not (tptp.aElementOf0 @t5 @t115)))) % 19.13/19.31 (define @t121 () (tptp.aSet0 @t115)) % 19.13/19.31 (define @t122 () (and @t121 @t120)) % 19.13/19.31 (define @t123 () (= @t115 @t115)) % 19.13/19.31 (define @t124 () (forall @t3 (= @t118 @t116))) % 19.13/19.31 (define @t125 () (= @t122 @t123)) % 19.13/19.31 (define @t126 () (@list @t115)) % 19.13/19.31 (define @t127 () (@list false)) % 19.13/19.31 (define @t128 () (not @t122)) % 19.13/19.31 (define @t129 () (@list @t122)) % 19.13/19.31 (define @t130 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 19.13/19.31 (define @t131 () (= (tptp.aSubsetOf0 @t130 @t1) (and (tptp.aSet0 @t130) (forall @t23 (or (not (tptp.aElementOf0 @t20 @t130)) @t21))))) % 19.13/19.31 (define @t132 () (not @t2)) % 19.13/19.31 (define @t133 () (or @t132 @t131)) % 19.13/19.31 (define @t134 () (@list @t130)) % 19.13/19.31 (define @t135 () (forall @t134 @t133)) % 19.13/19.31 (define @t136 () (forall @t134 @t131)) % 19.13/19.31 (define @t137 () (or @t132 @t136)) % 19.13/19.31 (define @t138 () (forall @t8 (= @t27 (and @t25 (forall @t23 (or (not @t22) @t21)))))) % 19.13/19.31 (define @t139 () (tptp.aElementOf0 @t20 tptp.xS)) % 19.13/19.31 (define @t140 () (tptp.aSet0 tptp.xS)) % 19.13/19.31 (define @t141 () (and @t140 (forall @t23 (or (not @t139) @t63)))) % 19.13/19.31 (define @t142 () (= @t107 @t141)) % 19.13/19.31 (define @t143 () (not @t54)) % 19.13/19.31 (define @t144 () (or @t143 @t142)) % 19.13/19.31 (define @t145 () (@list false false)) % 19.13/19.31 (define @t146 () (forall @t23 (or (not (tptp.aElementOf0 @t20 @t115)) @t139))) % 19.13/19.31 (define @t147 () (and @t121 @t146)) % 19.13/19.31 (define @t148 () (tptp.aSubsetOf0 @t115 tptp.xS)) % 19.13/19.31 (define @t149 () (= @t148 @t147)) % 19.13/19.31 (define @t150 () (not @t140)) % 19.13/19.31 (define @t151 () (or @t150 @t149)) % 19.13/19.31 (define @t152 () (@var "BOUND_VARIABLE_8623" $$unsorted)) % 19.13/19.31 (define @t153 () (tptp.aElementOf0 @t40 @t152)) % 19.13/19.31 (define @t154 () (and @t78 (= @t5 @t77))) % 19.13/19.31 (define @t155 () (forall @t45 (= @t153 @t154))) % 19.13/19.31 (define @t156 () (tptp.aSet0 @t152)) % 19.13/19.31 (define @t157 () (and @t156 @t155)) % 19.13/19.31 (define @t158 () (= (= @t152 @t83) @t157)) % 19.13/19.31 (define @t159 () (not @t58)) % 19.13/19.31 (define @t160 () (or @t132 @t159 @t158)) % 19.13/19.31 (define @t161 () (@list @t1 @t5 @t152)) % 19.13/19.31 (define @t162 () (forall @t161 @t160)) % 19.13/19.31 (define @t163 () (@list @t152)) % 19.13/19.31 (define @t164 () (forall @t163 @t160)) % 19.13/19.31 (define @t165 () (forall @t163 @t158)) % 19.13/19.31 (define @t166 () (or @t132 @t159 @t165)) % 19.13/19.31 (define @t167 () (forall @t23 (= @t84 (and @t38 (forall @t45 (= @t44 @t154)))))) % 19.13/19.31 (define @t168 () (or @t132 @t159 @t167)) % 19.13/19.31 (define @t169 () (tptp.aSubsetOf0 @t40 tptp.xS)) % 19.13/19.31 (define @t170 () (and @t169 (= tptp.xK @t77))) % 19.13/19.31 (define @t171 () (tptp.aElementOf0 @t40 @t108)) % 19.13/19.31 (define @t172 () (forall @t45 (= @t170 @t171))) % 19.13/19.31 (define @t173 () (tptp.aSet0 @t108)) % 19.13/19.31 (define @t174 () (and @t173 @t172)) % 19.13/19.31 (define @t175 () (= (= @t109 @t108) @t174)) % 19.13/19.31 (define @t176 () (not @t106)) % 19.13/19.31 (define @t177 () (or @t150 @t176 @t175)) % 19.13/19.31 (define @t178 () (forall @t161 (or @t132 @t159 (= (= @t83 @t152) (and @t156 (forall @t45 (= @t154 @t153))))))) % 19.13/19.31 (define @t179 () (forall @t45 (= @t171 (and @t169 (= @t77 tptp.xK))))) % 19.13/19.31 (define @t180 () (and @t173 @t179)) % 19.13/19.31 (define @t181 () (= @t110 @t180)) % 19.13/19.31 (define @t182 () (or @t150 @t176 @t181)) % 19.13/19.31 (define @t183 () (tptp.sbrdtbr0 @t115)) % 19.13/19.31 (define @t184 () (and @t148 (= @t183 tptp.xK))) % 19.13/19.31 (define @t185 () (tptp.aElementOf0 @t115 @t108)) % 19.13/19.31 (define @t186 () (= @t185 @t184)) % 19.13/19.31 (define @t187 () (= tptp.xK @t183)) % 19.13/19.31 (define @t188 () (and @t148 @t187)) % 19.13/19.31 (define @t189 () (= @t185 @t188)) % 19.13/19.31 (define @t190 () (not @t188)) % 19.13/19.31 (define @t191 () (@list true false)) % 19.13/19.31 (define @t192 () (= @t1 @t74)) % 19.13/19.31 (define @t193 () (or @t176 @t187)) % 19.13/19.31 (define @t194 () (not @t148)) % 19.13/19.31 (define @t195 () (@list false true)) % 19.13/19.31 (define @t196 () (not @t147)) % 19.13/19.31 (define @t197 () (not @t146)) % 19.13/19.31 (define @t198 () (@quantifiers_skolemize @t146 0)) % 19.13/19.31 (define @t199 () (tptp.aElementOf0 @t198 @t115)) % 19.13/19.31 (define @t200 () (not @t199)) % 19.13/19.31 (define @t201 () (or @t200 (tptp.aElementOf0 @t198 tptp.xS))) % 19.13/19.31 (assume @p1 (forall @t3 (=> @t2 true))) % 19.13/19.31 (assume @p2 (forall @t3 (=> @t4 true))) % 19.13/19.31 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 19.13/19.31 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 19.13/19.31 (assume @p5 @t15) % 19.13/19.31 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 19.13/19.31 (assume @p7 (forall @t3 (=> @t2 (=> @t16 true)))) % 19.13/19.31 (assume @p8 (forall @t3 (=> @t18 @t17))) % 19.13/19.31 (assume @p9 (forall @t3 (=> @t18 @t19))) % 19.13/19.31 (assume @p10 @t31) % 19.13/19.31 (assume @p11 (forall @t3 (=> @t33 (forall @t8 (=> @t27 @t32))))) % 19.13/19.31 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 19.13/19.31 (assume @p13 (forall @t36 (=> (and @t2 @t25) (=> (and @t35 @t27) @t34)))) % 19.13/19.31 (assume @p14 (forall @t39 (=> (and @t2 @t25 @t38) (=> (and @t35 @t37) (tptp.aSubsetOf0 @t1 @t20))))) % 19.13/19.31 (assume @p15 (forall @t36 (=> @t47 (forall @t23 (= (= @t20 @t46) (and @t38 (forall @t45 (= @t44 (and @t43 (or @t42 @t41)))))))))) % 19.13/19.31 (assume @p16 (forall @t36 (=> @t47 (forall @t23 (= (= @t20 @t48) (and @t38 (forall @t45 (= @t44 (and @t43 @t42 (not @t41)))))))))) % 19.13/19.31 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t48 @t5) @t1)))))) % 19.13/19.31 (assume @p18 (forall @t36 (=> (and @t4 @t25) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t49 @t1) @t5))))) % 19.13/19.31 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isCountable0 @t49)))))) % 19.13/19.31 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isCountable0 @t52)))))) % 19.13/19.31 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t53 (tptp.isFinite0 @t49)))))) % 19.13/19.31 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t53 (tptp.isFinite0 @t52)))))) % 19.13/19.31 (assume @p23 (and @t54 (tptp.isCountable0 tptp.szNzAzT0))) % 19.13/19.31 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 19.13/19.31 (assume @p25 (forall @t3 (=> @t56 (and (tptp.aElementOf0 @t55 tptp.szNzAzT0) (not (= @t55 tptp.sz00)))))) % 19.13/19.31 (assume @p26 (forall @t36 (=> @t59 (=> (= @t55 @t57) @t34)))) % 19.13/19.31 (assume @p27 (forall @t3 (=> @t56 (or @t60 (exists @t8 (and @t58 (= @t1 @t57))))))) % 19.13/19.31 (assume @p28 (forall @t3 (=> @t56 (not (= @t1 @t55))))) % 19.13/19.31 (assume @p29 (forall @t36 (=> @t59 (=> @t61 true)))) % 19.13/19.31 (assume @p30 (forall @t3 (=> @t56 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 19.13/19.31 (assume @p31 (forall @t3 (=> @t56 (not (tptp.sdtlseqdt0 @t55 tptp.sz00))))) % 19.13/19.31 (assume @p32 (forall @t36 (=> @t59 (= @t61 (tptp.sdtlseqdt0 @t55 @t57))))) % 19.13/19.31 (assume @p33 (forall @t3 (=> @t56 (tptp.sdtlseqdt0 @t1 @t55)))) % 19.13/19.31 (assume @p34 (forall @t3 (=> @t56 (tptp.sdtlseqdt0 @t1 @t1)))) % 19.13/19.31 (assume @p35 (forall @t36 (=> @t59 (=> (and @t61 (tptp.sdtlseqdt0 @t5 @t1)) @t34)))) % 19.13/19.31 (assume @p36 (forall @t39 (=> (and @t56 @t58 @t63) (=> (and @t61 @t62) (tptp.sdtlseqdt0 @t1 @t20))))) % 19.13/19.31 (assume @p37 (forall @t36 (=> @t59 (or @t61 (tptp.sdtlseqdt0 @t57 @t1))))) % 19.13/19.31 (assume @p38 (forall @t36 (=> @t59 (=> (tptp.iLess0 @t1 @t5) true)))) % 19.13/19.31 (assume @p39 (forall @t3 (=> @t56 (tptp.iLess0 @t1 @t55)))) % 19.13/19.31 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t64)))) % 19.13/19.31 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t64 tptp.szNzAzT0) @t9)))) % 19.13/19.31 (assume @p42 (forall @t3 (=> @t2 (= (= @t64 tptp.sz00) @t13)))) % 19.13/19.31 (assume @p43 (forall @t3 (=> @t33 (forall @t8 (=> @t6 (=> @t65 (= (tptp.sbrdtbr0 @t46) (tptp.szszuzczcdt0 @t64)))))))) % 19.13/19.31 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t48)) @t64)))))) % 19.13/19.31 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t27) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t64)))))) % 19.13/19.31 (assume @p46 (forall @t36 (=> @t66 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t64)) (exists @t23 (and (tptp.aSubsetOf0 @t20 @t1) (= (tptp.sbrdtbr0 @t20) @t5))))))) % 19.13/19.31 (assume @p47 (forall @t3 (=> (and @t68 @t19) (forall @t8 (= (= @t5 @t67) (and @t7 (forall @t23 (=> @t21 @t62)))))))) % 19.13/19.31 (assume @p48 (forall @t3 (=> (and @t68 @t9 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t23 (=> @t21 (tptp.sdtlseqdt0 @t20 @t5))))))))) % 19.13/19.31 (assume @p49 (forall @t36 (=> (and @t68 @t70 @t19 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t67 @t5) (tptp.aElementOf0 @t69 @t1)) (= @t67 @t69))))) % 19.13/19.31 (assume @p50 (forall @t3 (=> @t56 (forall @t8 (= (= @t5 @t71) (and @t25 (forall @t23 (= @t22 (and @t63 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t20) @t1)))))))))) % 19.13/19.31 (assume @p51 (forall @t3 (=> @t56 (tptp.isFinite0 @t71)))) % 19.13/19.31 (assume @p52 (= @t72 tptp.slcrc0)) % 19.13/19.31 (assume @p53 (forall @t36 (=> @t59 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t57)) (or (tptp.aElementOf0 @t1 @t73) @t34))))) % 19.13/19.31 (assume @p54 (forall @t36 (=> @t59 (= @t61 (tptp.aSubsetOf0 @t71 @t73))))) % 19.13/19.31 (assume @p55 (forall @t3 (=> (and @t68 @t9) (exists @t8 (and @t58 (tptp.aSubsetOf0 @t1 @t73)))))) % 19.13/19.31 (assume @p56 @t76) % 19.13/19.31 (assume @p57 @t88) % 19.13/19.31 (assume @p58 (forall @t3 (=> @t33 (forall @t8 (=> @t58 (tptp.isFinite0 @t83)))))) % 19.13/19.31 (assume @p59 (forall @t3 (=> (and @t2 @t17) (forall @t8 (=> @t58 (not (= @t83 tptp.slcrc0))))))) % 19.13/19.31 (assume @p60 (forall @t3 (=> @t18 (forall @t8 (=> (and @t58 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t83)))))) % 19.13/19.31 (assume @p61 (forall @t3 (=> @t56 (forall (@list @t5 @t20) (=> (and @t25 @t38 (not @t60)) (=> (and (tptp.aSubsetOf0 @t89 (tptp.slbdtsldtrb0 @t20 @t1)) (not (= @t89 tptp.slcrc0))) @t37)))))) % 19.13/19.31 (assume @p62 (forall @t36 (=> @t66 (forall @t23 (=> (and (tptp.aSubsetOf0 @t20 @t83) (tptp.isFinite0 @t20)) (exists @t45 (and @t78 (tptp.isFinite0 @t40) (tptp.aSubsetOf0 @t20 (tptp.slbdtsldtrb0 @t40 @t5))))))))) % 19.13/19.31 (assume @p63 (forall @t3 (=> @t90 true))) % 19.13/19.31 (assume @p64 (forall @t3 (=> @t90 (tptp.aSet0 @t91)))) % 19.13/19.31 (assume @p65 (forall @t3 (=> @t90 (forall @t8 (=> @t93 (tptp.aElement0 @t92)))))) % 19.13/19.31 (assume @p66 (forall @t36 (=> @t97 (forall @t23 (= (= @t20 @t96) (and @t38 (forall @t45 (= @t44 (and @t95 (= @t94 @t5)))))))))) % 19.13/19.31 (assume @p67 (forall @t36 (=> @t97 (tptp.aSubsetOf0 @t96 @t91)))) % 19.13/19.31 (assume @p68 (forall @t3 (=> @t90 (forall @t8 (=> @t101 (forall @t23 (= (= @t20 @t100) (and @t38 (forall @t45 (= @t44 (exists @t99 (and (tptp.aElementOf0 @t98 @t5) (= (tptp.sdtlpdtrp0 @t1 @t98) @t40))))))))))))) % 19.13/19.31 (assume @p69 (forall @t3 (=> @t90 (forall @t8 (=> @t93 (tptp.aElementOf0 @t92 @t102)))))) % 19.13/19.31 (assume @p70 (forall @t3 (=> @t90 (forall @t8 (=> @t101 (forall @t23 (= (= @t20 (tptp.sdtexdt0 @t1 @t5)) (and @t104 (= @t103 @t5) (forall @t45 (=> (tptp.aElementOf0 @t40 @t5) (= (tptp.sdtlpdtrp0 @t20 @t40) @t94))))))))))) % 19.13/19.31 (assume @p71 (forall @t3 (=> @t90 (forall @t8 (=> (and @t101 @t50) (=> (forall (@list @t20 @t40) (=> (and (tptp.aElementOf0 @t20 @t91) @t95 (not (= @t20 @t40))) (not (= (tptp.sdtlpdtrp0 @t1 @t20) @t94)))) (tptp.isCountable0 @t100))))))) % 19.13/19.31 (assume @p72 (forall @t3 (=> @t90 (=> (and (tptp.isCountable0 @t91) (tptp.isFinite0 @t102)) (and (tptp.aElement0 @t105) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t105))))))) % 19.13/19.31 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 19.13/19.31 (assume @p74 @t106) % 19.13/19.31 (assume @p75 (and @t107 (tptp.isCountable0 tptp.xS))) % 19.13/19.31 (assume @p76 (and (tptp.aFunction0 tptp.xc) @t110 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t108) tptp.xT))) % 19.13/19.31 (assume @p77 (forall @t3 (=> @t56 (forall @t8 (=> (and @t70 @t50) (forall @t23 (=> (and @t104 (= @t103 @t89) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t20 @t103) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t45 (and (tptp.aElementOf0 @t40 tptp.xT) (exists @t99 (and (tptp.aSubsetOf0 @t98 @t5) (tptp.isCountable0 @t98) (forall (@list @t111) (=> (tptp.aElementOf0 @t111 (tptp.slbdtsldtrb0 @t98 @t1)) (= (tptp.sdtlpdtrp0 @t20 @t111) @t40))))))))))))))) % 19.13/19.31 (assume @p78 (= tptp.xK tptp.sz00)) % 19.13/19.31 (assume @p79 @t114) % 19.13/19.31 (assume @p80 true) % 19.13/19.31 (step @p81 :rule eq-symm :args (@t116 @t118)) % 19.13/19.31 (step @p82 :rule cong :premises (@p81) :args ((forall @t3 (= @t116 @t118)))) % 19.13/19.31 (step @p83 :rule refl :args (@t118)) % 19.13/19.31 (step @p84 :rule symm :premises (@p78)) % 19.13/19.31 (step @p85 :rule cong :premises (@p84) :args (@t72)) % 19.13/19.31 (step @p86 :rule symm :premises (@p52)) % 19.13/19.31 (step @p87 :rule trans :premises (@p86 @p85)) % 19.13/19.31 (step @p88 :rule refl :args (@t1)) % 19.13/19.31 (step @p89 :rule cong :premises (@p88 @p87) :args (@t13)) % 19.13/19.31 (step @p90 :rule cong :premises (@p89 @p83) :args (@t119)) % 19.13/19.31 (step @p91 :rule cong :premises (@p90) :args ((forall @t3 @t119))) % 19.13/19.31 (step @p92 :rule trans :premises (@p91 @p82)) % 19.13/19.31 (step @p93 :rule bool-double-not-elim :args (@t117)) % 19.13/19.31 (step @p94 :rule exists-elim :args ((= @t10 (not @t117)))) % 19.13/19.31 (step @p95 :rule cong :premises (@p94) :args (@t11)) % 19.13/19.31 (step @p96 :rule trans :premises (@p95 @p93)) % 19.13/19.31 (step @p97 :rule refl :args (@t2)) % 19.13/19.31 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t12)) % 19.13/19.31 (step @p99 :rule refl :args (@t13)) % 19.13/19.31 (step @p100 :rule cong :premises (@p99 @p98) :args (@t14)) % 19.13/19.31 (step @p101 :rule cong :premises (@p100) :args (@t15)) % 19.13/19.31 (step @p102 :rule trans :premises (@p101 @p92)) % 19.13/19.31 (step @p103 :rule eq_resolve :premises (@p5 @p102)) % 19.13/19.31 (step @p104 :rule bool-eq-true :args (@t122)) % 19.13/19.31 (step @p105 :rule eq-symm :args (true @t122)) % 19.13/19.31 (step @p106 :rule trans :premises (@p105 @p104)) % 19.13/19.31 (step @p107 :rule refl :args (@t122)) % 19.13/19.31 (step @p108 :rule eq-refl :args (@t115)) % 19.13/19.31 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t123 @t122))) % 19.13/19.31 (step @p110 :rule trans :premises (@p109 @p106)) % 19.13/19.31 (step @p111 :rule eq-symm :args (@t122 @t123)) % 19.13/19.31 (step @p112 :rule trans :premises (@p111 @p110)) % 19.13/19.31 (step @p113 :rule refl :args (@t124)) % 19.13/19.31 (step @p114 :rule cong :premises (@p113 @p112) :args ((=> @t124 @t125))) % 19.13/19.31 (assume-push @p308 @t124) % 19.13/19.31 (step @p116 :rule instantiate :premises (@p103) :args (@t126)) % 19.13/19.31 (step-pop @p309 :rule scope :premises (@p116)) % 19.13/19.31 (step @p117 :rule process_scope :premises (@p309) :args (@t125)) % 19.13/19.31 (step @p119 :rule eq_resolve :premises (@p117 @p114)) % 19.13/19.31 (step @p120 :rule implies_elim :premises (@p119)) % 19.13/19.31 (step @p121 :rule chain_m_resolution :premises (@p120 @p103) :args (@t122 @t127 (@list @t124))) % 19.13/19.31 (step @p122 :rule cnf_and_pos :args (@t122 1)) % 19.13/19.31 (step @p123 :rule reordering :premises (@p122) :args ((or @t120 @t128))) % 19.13/19.31 (step @p124 :rule chain_m_resolution :premises (@p123 @p121) :args (@t120 @t127 @t129)) % 19.13/19.31 (step @p125 :rule quant-merge-prenex :args ((= (forall @t3 @t135) (forall (@list @t1 @t130) @t133)))) % 19.13/19.31 (step @p126 :rule alpha_equiv :args (@t136 (@list @t130) (@list @t5))) % 19.13/19.31 (step @p127 :rule refl :args (@t132)) % 19.13/19.31 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t137)) % 19.13/19.31 (step @p129 :rule quant-miniscope-or :args ((= @t135 @t137))) % 19.13/19.31 (step @p130 :rule trans :premises (@p129 @p128)) % 19.13/19.31 (step @p131 :rule symm :premises (@p130)) % 19.13/19.31 (step @p132 :rule cong :premises (@p131) :args ((forall @t3 (or @t132 @t138)))) % 19.13/19.31 (step @p133 :rule trans :premises (@p132 @p125)) % 19.13/19.31 (step @p134 :rule bool-impl-elim :args (@t2 @t138)) % 19.13/19.31 (step @p135 :rule cong :premises (@p134) :args ((forall @t3 (=> @t2 @t138)))) % 19.13/19.31 (step @p136 :rule trans :premises (@p135 @p133)) % 19.13/19.31 (step @p137 :rule bool-impl-elim :args (@t22 @t21)) % 19.13/19.31 (step @p138 :rule cong :premises (@p137) :args (@t24)) % 19.13/19.31 (step @p139 :rule refl :args (@t25)) % 19.13/19.31 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t26)) % 19.13/19.31 (step @p141 :rule refl :args (@t27)) % 19.13/19.31 (step @p142 :rule cong :premises (@p141 @p140) :args (@t28)) % 19.13/19.31 (step @p143 :rule cong :premises (@p142) :args (@t29)) % 19.13/19.31 (step @p144 :rule cong :premises (@p97 @p143) :args (@t30)) % 19.13/19.31 (step @p145 :rule cong :premises (@p144) :args (@t31)) % 19.13/19.31 (step @p146 :rule trans :premises (@p145 @p136)) % 19.13/19.31 (step @p147 :rule eq_resolve :premises (@p10 @p146)) % 19.13/19.31 (step @p148 :rule instantiate :premises (@p147) :args ((@list tptp.xS @t115))) % 19.13/19.31 (step @p149 :rule instantiate :premises (@p147) :args ((@list tptp.szNzAzT0 tptp.xS))) % 19.13/19.31 (step @p150 :rule and_elim :premises (@p23) :args (0)) % 19.13/19.31 (step @p151 :rule cnf_or_pos :args (@t144)) % 19.13/19.31 (step @p152 :rule reordering :premises (@p151) :args ((or @t143 @t142 (not @t144)))) % 19.13/19.31 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p149) :args (@t142 @t145 (@list @t54 @t144))) % 19.13/19.31 (step @p154 :rule and_elim :premises (@p75) :args (0)) % 19.13/19.31 (step @p155 :rule cnf_equiv_pos1 :args (@t142)) % 19.13/19.31 (step @p156 :rule reordering :premises (@p155) :args ((or (not @t107) @t141 (not @t142)))) % 19.13/19.31 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p153) :args (@t141 @t145 (@list @t107 @t142))) % 19.13/19.31 (step @p158 :rule cnf_and_pos :args (@t141 0)) % 19.13/19.31 (step @p159 :rule reordering :premises (@p158) :args ((or @t140 (not @t141)))) % 19.13/19.31 (step @p160 :rule chain_m_resolution :premises (@p159 @p157) :args (@t140 @t127 (@list @t141))) % 19.13/19.31 (step @p161 :rule cnf_or_pos :args (@t151)) % 19.13/19.31 (step @p162 :rule reordering :premises (@p161) :args ((or @t150 @t149 (not @t151)))) % 19.13/19.31 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p148) :args (@t149 @t145 (@list @t140 @t151))) % 19.13/19.31 (step @p164 :rule eq-symm :args (@t153 @t154)) % 19.13/19.31 (step @p165 :rule cong :premises (@p164) :args (@t155)) % 19.13/19.31 (step @p166 :rule refl :args (@t156)) % 19.13/19.31 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t157)) % 19.13/19.31 (step @p168 :rule eq-symm :args (@t152 @t83)) % 19.13/19.31 (step @p169 :rule cong :premises (@p168 @p167) :args (@t158)) % 19.13/19.31 (step @p170 :rule refl :args (@t159)) % 19.13/19.31 (step @p171 :rule refl :args (@t132)) % 19.13/19.31 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args (@t160)) % 19.13/19.31 (step @p173 :rule cong :premises (@p172) :args (@t162)) % 19.13/19.31 (step @p174 :rule quant-merge-prenex :args ((= (forall @t36 @t164) @t162))) % 19.13/19.31 (step @p175 :rule alpha_equiv :args (@t165 (@list @t152) (@list @t20))) % 19.13/19.31 (step @p176 :rule refl :args (@t159)) % 19.13/19.31 (step @p177 :rule nary_cong :premises (@p127 @p176 @p175) :args (@t166)) % 19.13/19.31 (step @p178 :rule quant-miniscope-or :args ((= @t164 @t166))) % 19.13/19.31 (step @p179 :rule trans :premises (@p178 @p177)) % 19.13/19.31 (step @p180 :rule symm :premises (@p179)) % 19.13/19.31 (step @p181 :rule cong :premises (@p180) :args ((forall @t36 @t168))) % 19.13/19.31 (step @p182 :rule trans :premises (@p181 @p174)) % 19.13/19.31 (step @p183 :rule trans :premises (@p182 @p173)) % 19.13/19.31 (step @p184 :rule aci_norm :args ((= (or (or @t132 @t159) @t167) @t168))) % 19.13/19.31 (step @p185 :rule refl :args (@t167)) % 19.13/19.31 (step @p186 :rule bool-and-de-morgan :args (@t2 @t58 true)) % 19.13/19.31 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or (not @t66) @t167))) % 19.13/19.31 (step @p188 :rule trans :premises (@p187 @p184)) % 19.13/19.31 (step @p189 :rule bool-impl-elim :args (@t66 @t167)) % 19.13/19.31 (step @p190 :rule trans :premises (@p189 @p188)) % 19.13/19.31 (step @p191 :rule cong :premises (@p190) :args ((forall @t36 (=> @t66 @t167)))) % 19.13/19.31 (step @p192 :rule trans :premises (@p191 @p183)) % 19.13/19.31 (step @p193 :rule eq-symm :args (@t77 @t5)) % 19.13/19.31 (step @p194 :rule refl :args (@t78)) % 19.13/19.31 (step @p195 :rule nary_cong :premises (@p194 @p193) :args (@t79)) % 19.13/19.31 (step @p196 :rule refl :args (@t44)) % 19.13/19.31 (step @p197 :rule cong :premises (@p196 @p195) :args (@t80)) % 19.13/19.31 (step @p198 :rule cong :premises (@p197) :args (@t81)) % 19.13/19.31 (step @p199 :rule refl :args (@t38)) % 19.13/19.31 (step @p200 :rule nary_cong :premises (@p199 @p198) :args (@t82)) % 19.13/19.31 (step @p201 :rule refl :args (@t84)) % 19.13/19.31 (step @p202 :rule cong :premises (@p201 @p200) :args (@t85)) % 19.13/19.31 (step @p203 :rule cong :premises (@p202) :args (@t86)) % 19.13/19.31 (step @p204 :rule refl :args (@t66)) % 19.13/19.31 (step @p205 :rule cong :premises (@p204 @p203) :args (@t87)) % 19.13/19.31 (step @p206 :rule cong :premises (@p205) :args (@t88)) % 19.13/19.31 (step @p207 :rule trans :premises (@p206 @p192)) % 19.13/19.31 (step @p208 :rule eq_resolve :premises (@p57 @p207)) % 19.13/19.31 (step @p209 :rule eq-symm :args (tptp.xK @t77)) % 19.13/19.31 (step @p210 :rule refl :args (@t169)) % 19.13/19.31 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t170)) % 19.13/19.31 (step @p212 :rule refl :args (@t171)) % 19.13/19.31 (step @p213 :rule cong :premises (@p212 @p211) :args ((= @t171 @t170))) % 19.13/19.31 (step @p214 :rule eq-symm :args (@t170 @t171)) % 19.13/19.31 (step @p215 :rule trans :premises (@p214 @p213)) % 19.13/19.31 (step @p216 :rule cong :premises (@p215) :args (@t172)) % 19.13/19.31 (step @p217 :rule refl :args (@t173)) % 19.13/19.31 (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t174)) % 19.13/19.31 (step @p219 :rule eq-symm :args (@t109 @t108)) % 19.13/19.31 (step @p220 :rule cong :premises (@p219 @p218) :args (@t175)) % 19.13/19.31 (step @p221 :rule refl :args (@t176)) % 19.13/19.31 (step @p222 :rule refl :args (@t150)) % 19.13/19.31 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220) :args (@t177)) % 19.13/19.31 (step @p224 :rule refl :args (@t178)) % 19.13/19.31 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t178 @t177))) % 19.13/19.31 (assume-push @p310 @t178) % 19.13/19.31 (step @p227 :rule instantiate :premises (@p208) :args ((@list tptp.xS tptp.xK @t108))) % 19.13/19.31 (step-pop @p311 :rule scope :premises (@p227)) % 19.13/19.31 (step @p228 :rule process_scope :premises (@p311) :args (@t177)) % 19.13/19.31 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 19.13/19.31 (step @p231 :rule implies_elim :premises (@p230)) % 19.13/19.31 (step @p232 :rule chain_m_resolution :premises (@p231 @p208) :args (@t182 @t127 (@list @t178))) % 19.13/19.31 (step @p233 :rule cnf_or_pos :args (@t182)) % 19.13/19.31 (step @p234 :rule reordering :premises (@p233) :args ((or @t176 @t150 @t181 (not @t182)))) % 19.13/19.31 (step @p235 :rule chain_m_resolution :premises (@p234 @p74 @p160 @p232) :args (@t181 (@list false false false) (@list @t106 @t140 @t182))) % 19.13/19.31 (step @p236 :rule and_elim :premises (@p76) :args (1)) % 19.13/19.31 (step @p237 :rule cnf_equiv_pos1 :args (@t181)) % 19.13/19.31 (step @p238 :rule reordering :premises (@p237) :args ((or (not @t110) @t180 (not @t181)))) % 19.13/19.31 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p235) :args (@t180 @t145 (@list @t110 @t181))) % 19.13/19.31 (step @p240 :rule cnf_and_pos :args (@t180 1)) % 19.13/19.31 (step @p241 :rule reordering :premises (@p240) :args ((or @t179 (not @t180)))) % 19.13/19.31 (step @p242 :rule chain_m_resolution :premises (@p241 @p239) :args (@t179 @t127 (@list @t180))) % 19.13/19.31 (step @p243 :rule eq-symm :args (@t183 tptp.xK)) % 19.13/19.31 (step @p244 :rule refl :args (@t148)) % 19.13/19.31 (step @p245 :rule nary_cong :premises (@p244 @p243) :args (@t184)) % 19.13/19.31 (step @p246 :rule refl :args (@t185)) % 19.13/19.31 (step @p247 :rule cong :premises (@p246 @p245) :args (@t186)) % 19.13/19.31 (step @p248 :rule refl :args (@t179)) % 19.13/19.31 (step @p249 :rule cong :premises (@p248 @p247) :args ((=> @t179 @t186))) % 19.13/19.31 (assume-push @p312 @t179) % 19.13/19.31 (step @p251 :rule instantiate :premises (@p242) :args (@t126)) % 19.13/19.31 (step-pop @p313 :rule scope :premises (@p251)) % 19.13/19.31 (step @p252 :rule process_scope :premises (@p313) :args (@t186)) % 19.13/19.31 (step @p254 :rule eq_resolve :premises (@p252 @p249)) % 19.13/19.31 (step @p255 :rule implies_elim :premises (@p254)) % 19.13/19.31 (step @p256 :rule chain_m_resolution :premises (@p255 @p242) :args (@t189 @t127 (@list @t179))) % 19.13/19.31 (step @p257 :rule refl :args (tptp.xS)) % 19.13/19.31 (step @p258 :rule cong :premises (@p257 @p84) :args (@t112)) % 19.13/19.31 (step @p259 :rule cong :premises (@p87 @p258) :args (@t113)) % 19.13/19.31 (step @p260 :rule cong :premises (@p259) :args (@t114)) % 19.13/19.31 (step @p261 :rule eq_resolve :premises (@p79 @p260)) % 19.13/19.31 (step @p262 :rule false_intro :premises (@p261)) % 19.13/19.31 (step @p263 :rule refl :args (@t115)) % 19.13/19.31 (step @p264 :rule cong :premises (@p263 @p236) :args (@t185)) % 19.13/19.31 (step @p265 :rule trans :premises (@p264 @p262)) % 19.13/19.31 (step @p266 :rule false_elim :premises (@p265)) % 19.13/19.31 (step @p267 :rule cnf_equiv_pos2 :args (@t189)) % 19.13/19.31 (step @p268 :rule reordering :premises (@p267) :args ((or @t185 @t190 (not @t189)))) % 19.13/19.31 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p256) :args (@t190 @t191 (@list @t185 @t189))) % 19.13/19.31 (step @p270 :rule bool-impl-elim :args (@t56 @t192)) % 19.13/19.31 (step @p271 :rule cong :premises (@p270) :args ((forall @t3 (=> @t56 @t192)))) % 19.13/19.31 (step @p272 :rule eq-symm :args (@t74 @t1)) % 19.13/19.31 (step @p273 :rule refl :args (@t56)) % 19.13/19.31 (step @p274 :rule cong :premises (@p273 @p272) :args (@t75)) % 19.13/19.31 (step @p275 :rule cong :premises (@p274) :args (@t76)) % 19.13/19.31 (step @p276 :rule trans :premises (@p275 @p271)) % 19.13/19.31 (step @p277 :rule eq_resolve :premises (@p56 @p276)) % 19.13/19.31 (step @p278 :rule instantiate :premises (@p277) :args ((@list tptp.xK))) % 19.13/19.31 (step @p279 :rule cnf_or_pos :args (@t193)) % 19.13/19.31 (step @p280 :rule reordering :premises (@p279) :args ((or @t176 @t187 (not @t193)))) % 19.13/19.31 (step @p281 :rule chain_m_resolution :premises (@p280 @p74 @p278) :args (@t187 @t145 (@list @t106 @t193))) % 19.13/19.31 (step @p282 :rule cnf_and_neg :args (@t188)) % 19.13/19.31 (step @p283 :rule reordering :premises (@p282) :args ((or (not @t187) @t188 @t194))) % 19.13/19.31 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p269) :args (@t194 @t195 (@list @t187 @t188))) % 19.13/19.31 (step @p285 :rule cnf_equiv_pos2 :args (@t149)) % 19.13/19.31 (step @p286 :rule reordering :premises (@p285) :args ((or @t148 @t196 (not @t149)))) % 19.13/19.31 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p163) :args (@t196 @t191 (@list @t148 @t149))) % 19.13/19.31 (step @p288 :rule cnf_and_pos :args (@t122 0)) % 19.13/19.31 (step @p289 :rule reordering :premises (@p288) :args ((or @t121 @t128))) % 19.13/19.31 (step @p290 :rule chain_m_resolution :premises (@p289 @p121) :args (@t121 @t127 @t129)) % 19.13/19.31 (step @p291 :rule cnf_and_neg :args (@t147)) % 19.13/19.31 (step @p292 :rule reordering :premises (@p291) :args ((or (not @t121) @t147 @t197))) % 19.13/19.31 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p287) :args (@t197 @t195 (@list @t121 @t147))) % 19.13/19.31 (step @p294 :rule skolemize :premises (@p293)) % 19.13/19.31 (step @p295 :rule bool-double-not-elim :args (@t199)) % 19.13/19.31 (step @p296 :rule refl :args (@t201)) % 19.13/19.31 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t201 (not @t200)))) % 19.13/19.31 (step @p298 :rule cnf_or_neg :args (@t201 0)) % 19.13/19.31 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 19.13/19.31 (step @p300 :rule reordering :premises (@p299) :args ((or @t199 @t201))) % 19.13/19.31 (step @p301 :rule chain_m_resolution :premises (@p300 @p294) :args (@t199 (@list true) (@list @t201))) % 19.13/19.31 (assume-push @p314 @t120) % 19.13/19.31 (step @p303 :rule instantiate :premises (@p124) :args ((@list @t198))) % 19.13/19.31 (step-pop @p315 :rule scope :premises (@p303)) % 19.13/19.31 (step @p304 :rule process_scope :premises (@p315) :args (@t200)) % 19.13/19.31 (step @p306 :rule implies_elim :premises (@p304)) % 19.13/19.31 (step @p307 false :rule chain_m_resolution :premises (@p306 @p301 @p124) :args (false @t145 (@list @t199 @t120))) % 19.13/19.31 ) % 19.13/19.31 % SZS output end Proof % 19.13/19.31 % cvc5 exiting %------------------------------------------------------------------------------