%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM565+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 : n027.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 16.12s 16.39s % Output : Proof 15.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM565+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:30:06 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.12/16.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.12/16.39 --- Run --no-e-matching --full-saturate-quant at 6... % 16.12/16.39 % SZS status Theorem % 16.12/16.39 % SZS output start Proof % 16.12/16.39 ( % 16.12/16.39 (declare-sort $$unsorted 0) % 16.12/16.39 (declare-const tptp.sz00 $$unsorted) % 16.12/16.39 (declare-const tptp.xc $$unsorted) % 16.12/16.39 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 16.12/16.39 (declare-const tptp.szNzAzT0 $$unsorted) % 16.12/16.39 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 16.12/16.39 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.12/16.39 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 16.12/16.39 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 16.12/16.39 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.12/16.39 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 16.12/16.39 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.12/16.39 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 16.12/16.39 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.xK $$unsorted) % 16.12/16.39 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.xT $$unsorted) % 16.12/16.39 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.xS $$unsorted) % 16.12/16.39 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.slcrc0 $$unsorted) % 16.12/16.39 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.39 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.39 (define @t1 () (@var "W0" $$unsorted)) % 16.12/16.39 (define @t2 () (tptp.aSet0 @t1)) % 16.12/16.39 (define @t3 () (@list @t1)) % 16.12/16.39 (define @t4 () (tptp.aElement0 @t1)) % 16.12/16.39 (define @t5 () (@var "W1" $$unsorted)) % 16.12/16.39 (define @t6 () (tptp.aElement0 @t5)) % 16.12/16.39 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 16.12/16.39 (define @t8 () (@list @t5)) % 16.12/16.39 (define @t9 () (tptp.isFinite0 @t1)) % 16.12/16.39 (define @t10 () (= @t1 tptp.slcrc0)) % 16.12/16.39 (define @t11 () (tptp.isCountable0 @t1)) % 16.12/16.39 (define @t12 () (not @t9)) % 16.12/16.39 (define @t13 () (and @t2 @t11)) % 16.12/16.39 (define @t14 () (not @t10)) % 16.12/16.39 (define @t15 () (@var "W2" $$unsorted)) % 16.12/16.39 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 16.12/16.39 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 16.12/16.39 (define @t18 () (@list @t15)) % 16.12/16.39 (define @t19 () (forall @t18 (=> @t17 @t16))) % 16.12/16.39 (define @t20 () (tptp.aSet0 @t5)) % 16.12/16.39 (define @t21 () (and @t20 @t19)) % 16.12/16.39 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 16.12/16.39 (define @t23 () (= @t22 @t21)) % 16.12/16.39 (define @t24 () (forall @t8 @t23)) % 16.12/16.39 (define @t25 () (=> @t2 @t24)) % 16.12/16.39 (define @t26 () (forall @t3 @t25)) % 16.12/16.39 (define @t27 () (tptp.isFinite0 @t5)) % 16.12/16.39 (define @t28 () (and @t2 @t9)) % 16.12/16.39 (define @t29 () (= @t1 @t5)) % 16.12/16.39 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 16.12/16.39 (define @t31 () (@list @t1 @t5)) % 16.12/16.39 (define @t32 () (tptp.aSubsetOf0 @t5 @t15)) % 16.12/16.39 (define @t33 () (tptp.aSet0 @t15)) % 16.12/16.39 (define @t34 () (@list @t1 @t5 @t15)) % 16.12/16.39 (define @t35 () (@var "W3" $$unsorted)) % 16.12/16.39 (define @t36 () (= @t35 @t5)) % 16.12/16.39 (define @t37 () (tptp.aElementOf0 @t35 @t1)) % 16.12/16.39 (define @t38 () (tptp.aElement0 @t35)) % 16.12/16.39 (define @t39 () (tptp.aElementOf0 @t35 @t15)) % 16.12/16.39 (define @t40 () (@list @t35)) % 16.12/16.39 (define @t41 () (tptp.sdtpldt0 @t1 @t5)) % 16.12/16.39 (define @t42 () (and @t2 @t6)) % 16.12/16.39 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 16.12/16.39 (define @t44 () (tptp.sdtpldt0 @t5 @t1)) % 16.12/16.39 (define @t45 () (tptp.isCountable0 @t5)) % 16.12/16.39 (define @t46 () (and @t20 @t45)) % 16.12/16.39 (define @t47 () (tptp.sdtmndt0 @t5 @t1)) % 16.12/16.39 (define @t48 () (and @t20 @t27)) % 16.12/16.39 (define @t49 () (tptp.aSet0 tptp.szNzAzT0)) % 16.12/16.39 (define @t50 () (tptp.szszuzczcdt0 @t1)) % 16.12/16.39 (define @t51 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 16.12/16.39 (define @t52 () (tptp.szszuzczcdt0 @t5)) % 16.12/16.39 (define @t53 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 16.12/16.39 (define @t54 () (and @t51 @t53)) % 16.12/16.39 (define @t55 () (= @t1 tptp.sz00)) % 16.12/16.39 (define @t56 () (tptp.sdtlseqdt0 @t1 @t5)) % 16.12/16.39 (define @t57 () (tptp.sdtlseqdt0 @t5 @t15)) % 16.12/16.39 (define @t58 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 16.12/16.39 (define @t59 () (tptp.sbrdtbr0 @t1)) % 16.12/16.39 (define @t60 () (= @t59 tptp.sz00)) % 16.12/16.39 (define @t61 () (=> @t2 (= @t60 @t10))) % 16.12/16.39 (define @t62 () (forall @t3 @t61)) % 16.12/16.39 (define @t63 () (and @t2 @t53)) % 16.12/16.39 (define @t64 () (tptp.szmzizndt0 @t1)) % 16.12/16.39 (define @t65 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 16.12/16.39 (define @t66 () (tptp.szmzizndt0 @t5)) % 16.12/16.39 (define @t67 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 16.12/16.39 (define @t68 () (tptp.slbdtrb0 @t1)) % 16.12/16.39 (define @t69 () (tptp.slbdtrb0 tptp.sz00)) % 16.12/16.39 (define @t70 () (tptp.slbdtrb0 @t5)) % 16.12/16.39 (define @t71 () (tptp.sbrdtbr0 @t35)) % 16.12/16.39 (define @t72 () (tptp.aSubsetOf0 @t35 @t1)) % 16.12/16.39 (define @t73 () (and @t72 (= @t71 @t5))) % 16.12/16.39 (define @t74 () (= @t39 @t73)) % 16.12/16.39 (define @t75 () (forall @t40 @t74)) % 16.12/16.39 (define @t76 () (and @t33 @t75)) % 16.12/16.39 (define @t77 () (tptp.slbdtsldtrb0 @t1 @t5)) % 16.12/16.39 (define @t78 () (= @t15 @t77)) % 16.12/16.39 (define @t79 () (= @t78 @t76)) % 16.12/16.39 (define @t80 () (forall @t18 @t79)) % 16.12/16.39 (define @t81 () (=> @t63 @t80)) % 16.12/16.39 (define @t82 () (forall @t31 @t81)) % 16.12/16.39 (define @t83 () (tptp.slbdtsldtrb0 @t5 @t1)) % 16.12/16.39 (define @t84 () (tptp.aFunction0 @t1)) % 16.12/16.39 (define @t85 () (tptp.szDzozmdt0 @t1)) % 16.12/16.39 (define @t86 () (tptp.sdtlpdtrp0 @t1 @t5)) % 16.12/16.39 (define @t87 () (tptp.aElementOf0 @t5 @t85)) % 16.12/16.39 (define @t88 () (tptp.sdtlpdtrp0 @t1 @t35)) % 16.12/16.39 (define @t89 () (tptp.aElementOf0 @t35 @t85)) % 16.12/16.39 (define @t90 () (tptp.sdtlbdtrb0 @t1 @t5)) % 16.12/16.39 (define @t91 () (and @t84 @t6)) % 16.12/16.39 (define @t92 () (@var "W4" $$unsorted)) % 16.12/16.39 (define @t93 () (@list @t92)) % 16.12/16.39 (define @t94 () (tptp.sdtlcdtrc0 @t1 @t5)) % 16.12/16.39 (define @t95 () (tptp.aSubsetOf0 @t5 @t85)) % 16.12/16.39 (define @t96 () (tptp.sdtlcdtrc0 @t1 @t85)) % 16.12/16.39 (define @t97 () (tptp.szDzozmdt0 @t15)) % 16.12/16.39 (define @t98 () (tptp.aFunction0 @t15)) % 16.12/16.39 (define @t99 () (tptp.szDzizrdt0 @t1)) % 16.12/16.39 (define @t100 () (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 16.12/16.39 (define @t101 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 16.12/16.39 (define @t102 () (tptp.szDzozmdt0 tptp.xc)) % 16.12/16.39 (define @t103 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 16.12/16.39 (define @t104 () (= @t102 @t103)) % 16.12/16.39 (define @t105 () (@var "W5" $$unsorted)) % 16.12/16.39 (define @t106 () (tptp.slbdtsldtrb0 tptp.xS tptp.sz00)) % 16.12/16.39 (define @t107 () (tptp.sdtlpdtrp0 tptp.xc tptp.slcrc0)) % 16.12/16.39 (define @t108 () (tptp.sdtlpdtrp0 tptp.xc @t1)) % 16.12/16.40 (define @t109 () (= @t108 @t107)) % 16.12/16.40 (define @t110 () (tptp.aElementOf0 @t1 @t106)) % 16.12/16.40 (define @t111 () (forall @t3 (=> @t110 @t109))) % 16.12/16.40 (define @t112 () (not @t111)) % 16.12/16.40 (define @t113 () (@var "BOUND_VARIABLE_8053" $$unsorted)) % 16.12/16.40 (define @t114 () (= (tptp.aSubsetOf0 @t113 @t1) (and (tptp.aSet0 @t113) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t113)) @t16))))) % 16.12/16.40 (define @t115 () (not @t2)) % 16.12/16.40 (define @t116 () (or @t115 @t114)) % 16.12/16.40 (define @t117 () (@list @t113)) % 16.12/16.40 (define @t118 () (forall @t117 @t116)) % 16.12/16.40 (define @t119 () (forall @t117 @t114)) % 16.12/16.40 (define @t120 () (or @t115 @t119)) % 16.12/16.40 (define @t121 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 16.12/16.40 (define @t122 () (tptp.slbdtrb0 tptp.xK)) % 16.12/16.40 (define @t123 () (tptp.sdtlpdtrp0 tptp.xc @t122)) % 16.12/16.40 (define @t124 () (forall @t3 (or (not (tptp.aElementOf0 @t1 @t103)) (= @t108 @t123)))) % 16.12/16.40 (define @t125 () (@quantifiers_skolemize @t124 0)) % 16.12/16.40 (define @t126 () (tptp.aElementOf0 @t15 tptp.xS)) % 16.12/16.40 (define @t127 () (tptp.aSet0 tptp.xS)) % 16.12/16.40 (define @t128 () (and @t127 (forall @t18 (or (not @t126) @t58)))) % 16.12/16.40 (define @t129 () (= @t101 @t128)) % 16.12/16.40 (define @t130 () (not @t49)) % 16.12/16.40 (define @t131 () (or @t130 @t129)) % 16.12/16.40 (define @t132 () (@list false false)) % 16.12/16.40 (define @t133 () (@list false)) % 16.12/16.40 (define @t134 () (tptp.aSet0 @t125)) % 16.12/16.40 (define @t135 () (and @t134 (forall @t18 (or (not (tptp.aElementOf0 @t15 @t125)) @t126)))) % 16.12/16.40 (define @t136 () (tptp.aSubsetOf0 @t125 tptp.xS)) % 16.12/16.40 (define @t137 () (= @t136 @t135)) % 16.12/16.40 (define @t138 () (not @t127)) % 16.12/16.40 (define @t139 () (or @t138 @t137)) % 16.12/16.40 (define @t140 () (@var "BOUND_VARIABLE_8629" $$unsorted)) % 16.12/16.40 (define @t141 () (tptp.aElementOf0 @t35 @t140)) % 16.12/16.40 (define @t142 () (and @t72 (= @t5 @t71))) % 16.12/16.40 (define @t143 () (forall @t40 (= @t141 @t142))) % 16.12/16.40 (define @t144 () (tptp.aSet0 @t140)) % 16.12/16.40 (define @t145 () (and @t144 @t143)) % 16.12/16.40 (define @t146 () (= (= @t140 @t77) @t145)) % 16.12/16.40 (define @t147 () (not @t53)) % 16.12/16.40 (define @t148 () (or @t115 @t147 @t146)) % 16.12/16.40 (define @t149 () (@list @t1 @t5 @t140)) % 16.12/16.40 (define @t150 () (forall @t149 @t148)) % 16.12/16.40 (define @t151 () (@list @t140)) % 16.12/16.40 (define @t152 () (forall @t151 @t148)) % 16.12/16.40 (define @t153 () (forall @t151 @t146)) % 16.12/16.40 (define @t154 () (or @t115 @t147 @t153)) % 16.12/16.40 (define @t155 () (forall @t18 (= @t78 (and @t33 (forall @t40 (= @t39 @t142)))))) % 16.12/16.40 (define @t156 () (or @t115 @t147 @t155)) % 16.12/16.40 (define @t157 () (tptp.aSubsetOf0 @t35 tptp.xS)) % 16.12/16.40 (define @t158 () (and @t157 (= tptp.xK @t71))) % 16.12/16.40 (define @t159 () (tptp.aElementOf0 @t35 @t102)) % 16.12/16.40 (define @t160 () (forall @t40 (= @t158 @t159))) % 16.12/16.40 (define @t161 () (tptp.aSet0 @t102)) % 16.12/16.40 (define @t162 () (and @t161 @t160)) % 16.12/16.40 (define @t163 () (= (= @t103 @t102) @t162)) % 16.12/16.40 (define @t164 () (not @t100)) % 16.12/16.40 (define @t165 () (or @t138 @t164 @t163)) % 16.12/16.40 (define @t166 () (forall @t149 (or @t115 @t147 (= (= @t77 @t140) (and @t144 (forall @t40 (= @t142 @t141))))))) % 16.12/16.40 (define @t167 () (forall @t40 (= @t159 (and @t157 (= @t71 tptp.xK))))) % 16.12/16.40 (define @t168 () (and @t161 @t167)) % 16.12/16.40 (define @t169 () (= @t104 @t168)) % 16.12/16.40 (define @t170 () (or @t138 @t164 @t169)) % 16.12/16.40 (define @t171 () (tptp.sbrdtbr0 @t125)) % 16.12/16.40 (define @t172 () (= @t171 tptp.xK)) % 16.12/16.40 (define @t173 () (and @t136 @t172)) % 16.12/16.40 (define @t174 () (tptp.aElementOf0 @t125 @t102)) % 16.12/16.40 (define @t175 () (= @t174 @t173)) % 16.12/16.40 (define @t176 () (@list @t125)) % 16.12/16.40 (define @t177 () (= tptp.xK @t171)) % 16.12/16.40 (define @t178 () (and @t136 @t177)) % 16.12/16.40 (define @t179 () (= @t174 @t178)) % 16.12/16.40 (define @t180 () (not @t110)) % 16.12/16.40 (define @t181 () (or @t180 @t109)) % 16.12/16.40 (define @t182 () (forall @t3 @t181)) % 16.12/16.40 (define @t183 () (tptp.sdtlpdtrp0 tptp.xc @t125)) % 16.12/16.40 (define @t184 () (= @t123 @t183)) % 16.12/16.40 (define @t185 () (tptp.aElementOf0 @t125 @t103)) % 16.12/16.40 (define @t186 () (not @t185)) % 16.12/16.40 (define @t187 () (or @t186 @t184)) % 16.12/16.40 (define @t188 () (not @t187)) % 16.12/16.40 (define @t189 () (not @t124)) % 16.12/16.40 (define @t190 () (or @t186 (= @t183 @t123))) % 16.12/16.40 (define @t191 () (not @t190)) % 16.12/16.40 (define @t192 () (@list true)) % 16.12/16.40 (define @t193 () (@list @t187)) % 16.12/16.40 (define @t194 () (not @t178)) % 16.12/16.40 (define @t195 () (@list @t178)) % 16.12/16.40 (define @t196 () (= @t122 @t125)) % 16.12/16.40 (define @t197 () (not @t196)) % 16.12/16.40 (define @t198 () (= @t196 @t177)) % 16.12/16.40 (define @t199 () (not @t198)) % 16.12/16.40 (define @t200 () (= @t1 @t122)) % 16.12/16.40 (define @t201 () (= @t200 (= tptp.xK @t59))) % 16.12/16.40 (define @t202 () (or @t115 @t201)) % 16.12/16.40 (define @t203 () (= tptp.sz00 @t59)) % 16.12/16.40 (define @t204 () (= @t10 @t203)) % 16.12/16.40 (define @t205 () (or @t115 @t204)) % 16.12/16.40 (define @t206 () (= (= @t125 @t122) @t172)) % 16.12/16.40 (define @t207 () (not @t134)) % 16.12/16.40 (define @t208 () (or @t207 @t206)) % 16.12/16.40 (define @t209 () (forall @t3 (or @t115 (= @t200 (= @t59 tptp.xK))))) % 16.12/16.40 (define @t210 () (or @t207 @t198)) % 16.12/16.40 (assume @p1 (forall @t3 (=> @t2 true))) % 16.12/16.40 (assume @p2 (forall @t3 (=> @t4 true))) % 16.12/16.40 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 16.12/16.40 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 16.12/16.40 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 16.12/16.40 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 16.12/16.40 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 16.12/16.40 (assume @p8 (forall @t3 (=> @t13 @t12))) % 16.12/16.40 (assume @p9 (forall @t3 (=> @t13 @t14))) % 16.12/16.40 (assume @p10 @t26) % 16.12/16.40 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t22 @t27))))) % 16.12/16.40 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 16.12/16.40 (assume @p13 (forall @t31 (=> (and @t2 @t20) (=> (and @t30 @t22) @t29)))) % 16.12/16.40 (assume @p14 (forall @t34 (=> (and @t2 @t20 @t33) (=> (and @t30 @t32) (tptp.aSubsetOf0 @t1 @t15))))) % 16.12/16.40 (assume @p15 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t41) (and @t33 (forall @t40 (= @t39 (and @t38 (or @t37 @t36)))))))))) % 16.12/16.40 (assume @p16 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t43) (and @t33 (forall @t40 (= @t39 (and @t38 @t37 (not @t36)))))))))) % 16.12/16.40 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t43 @t5) @t1)))))) % 16.12/16.40 (assume @p18 (forall @t31 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t44 @t1) @t5))))) % 16.12/16.40 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t44)))))) % 16.12/16.40 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t47)))))) % 16.12/16.40 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t44)))))) % 16.12/16.40 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t47)))))) % 16.12/16.40 (assume @p23 (and @t49 (tptp.isCountable0 tptp.szNzAzT0))) % 16.12/16.40 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 16.12/16.40 (assume @p25 (forall @t3 (=> @t51 (and (tptp.aElementOf0 @t50 tptp.szNzAzT0) (not (= @t50 tptp.sz00)))))) % 16.12/16.40 (assume @p26 (forall @t31 (=> @t54 (=> (= @t50 @t52) @t29)))) % 16.12/16.40 (assume @p27 (forall @t3 (=> @t51 (or @t55 (exists @t8 (and @t53 (= @t1 @t52))))))) % 16.12/16.40 (assume @p28 (forall @t3 (=> @t51 (not (= @t1 @t50))))) % 16.12/16.40 (assume @p29 (forall @t31 (=> @t54 (=> @t56 true)))) % 16.12/16.40 (assume @p30 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 16.12/16.40 (assume @p31 (forall @t3 (=> @t51 (not (tptp.sdtlseqdt0 @t50 tptp.sz00))))) % 16.12/16.40 (assume @p32 (forall @t31 (=> @t54 (= @t56 (tptp.sdtlseqdt0 @t50 @t52))))) % 16.12/16.40 (assume @p33 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t50)))) % 16.12/16.40 (assume @p34 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.12/16.40 (assume @p35 (forall @t31 (=> @t54 (=> (and @t56 (tptp.sdtlseqdt0 @t5 @t1)) @t29)))) % 16.12/16.40 (assume @p36 (forall @t34 (=> (and @t51 @t53 @t58) (=> (and @t56 @t57) (tptp.sdtlseqdt0 @t1 @t15))))) % 16.12/16.40 (assume @p37 (forall @t31 (=> @t54 (or @t56 (tptp.sdtlseqdt0 @t52 @t1))))) % 16.12/16.40 (assume @p38 (forall @t31 (=> @t54 (=> (tptp.iLess0 @t1 @t5) true)))) % 16.12/16.40 (assume @p39 (forall @t3 (=> @t51 (tptp.iLess0 @t1 @t50)))) % 16.12/16.40 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t59)))) % 16.12/16.40 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t59 tptp.szNzAzT0) @t9)))) % 16.12/16.40 (assume @p42 @t62) % 16.12/16.40 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t41) (tptp.szszuzczcdt0 @t59)))))))) % 16.12/16.40 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t43)) @t59)))))) % 16.12/16.40 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t59)))))) % 16.12/16.40 (assume @p46 (forall @t31 (=> @t63 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t59)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 16.12/16.40 (assume @p47 (forall @t3 (=> (and @t65 @t14) (forall @t8 (= (= @t5 @t64) (and @t7 (forall @t18 (=> @t16 @t57)))))))) % 16.12/16.40 (assume @p48 (forall @t3 (=> (and @t65 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 16.12/16.40 (assume @p49 (forall @t31 (=> (and @t65 @t67 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t64 @t5) (tptp.aElementOf0 @t66 @t1)) (= @t64 @t66))))) % 16.12/16.40 (assume @p50 (forall @t3 (=> @t51 (forall @t8 (= (= @t5 @t68) (and @t20 (forall @t18 (= @t17 (and @t58 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 16.12/16.40 (assume @p51 (forall @t3 (=> @t51 (tptp.isFinite0 @t68)))) % 16.12/16.40 (assume @p52 (= @t69 tptp.slcrc0)) % 16.12/16.40 (assume @p53 (forall @t31 (=> @t54 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t52)) (or (tptp.aElementOf0 @t1 @t70) @t29))))) % 16.12/16.40 (assume @p54 (forall @t31 (=> @t54 (= @t56 (tptp.aSubsetOf0 @t68 @t70))))) % 16.12/16.40 (assume @p55 (forall @t3 (=> (and @t65 @t9) (exists @t8 (and @t53 (tptp.aSubsetOf0 @t1 @t70)))))) % 16.12/16.40 (assume @p56 (forall @t3 (=> @t51 (= (tptp.sbrdtbr0 @t68) @t1)))) % 16.12/16.40 (assume @p57 @t82) % 16.12/16.40 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t53 (tptp.isFinite0 @t77)))))) % 16.12/16.40 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t53 (not (= @t77 tptp.slcrc0))))))) % 16.12/16.40 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t53 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t77)))))) % 16.12/16.40 (assume @p61 (forall @t3 (=> @t51 (forall (@list @t5 @t15) (=> (and @t20 @t33 (not @t55)) (=> (and (tptp.aSubsetOf0 @t83 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t83 tptp.slcrc0))) @t32)))))) % 16.12/16.40 (assume @p62 (forall @t31 (=> @t63 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t77) (tptp.isFinite0 @t15)) (exists @t40 (and @t72 (tptp.isFinite0 @t35) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t35 @t5))))))))) % 16.12/16.40 (assume @p63 (forall @t3 (=> @t84 true))) % 16.12/16.40 (assume @p64 (forall @t3 (=> @t84 (tptp.aSet0 @t85)))) % 16.12/16.40 (assume @p65 (forall @t3 (=> @t84 (forall @t8 (=> @t87 (tptp.aElement0 @t86)))))) % 16.12/16.40 (assume @p66 (forall @t31 (=> @t91 (forall @t18 (= (= @t15 @t90) (and @t33 (forall @t40 (= @t39 (and @t89 (= @t88 @t5)))))))))) % 16.12/16.40 (assume @p67 (forall @t31 (=> @t91 (tptp.aSubsetOf0 @t90 @t85)))) % 16.12/16.40 (assume @p68 (forall @t3 (=> @t84 (forall @t8 (=> @t95 (forall @t18 (= (= @t15 @t94) (and @t33 (forall @t40 (= @t39 (exists @t93 (and (tptp.aElementOf0 @t92 @t5) (= (tptp.sdtlpdtrp0 @t1 @t92) @t35))))))))))))) % 16.12/16.40 (assume @p69 (forall @t3 (=> @t84 (forall @t8 (=> @t87 (tptp.aElementOf0 @t86 @t96)))))) % 16.12/16.40 (assume @p70 (forall @t3 (=> @t84 (forall @t8 (=> @t95 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t98 (= @t97 @t5) (forall @t40 (=> (tptp.aElementOf0 @t35 @t5) (= (tptp.sdtlpdtrp0 @t15 @t35) @t88))))))))))) % 16.12/16.40 (assume @p71 (forall @t3 (=> @t84 (forall @t8 (=> (and @t95 @t45) (=> (forall (@list @t15 @t35) (=> (and (tptp.aElementOf0 @t15 @t85) @t89 (not (= @t15 @t35))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t88)))) (tptp.isCountable0 @t94))))))) % 16.12/16.40 (assume @p72 (forall @t3 (=> @t84 (=> (and (tptp.isCountable0 @t85) (tptp.isFinite0 @t96)) (and (tptp.aElement0 @t99) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t99))))))) % 16.12/16.40 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 16.12/16.40 (assume @p74 @t100) % 16.12/16.40 (assume @p75 (and @t101 (tptp.isCountable0 tptp.xS))) % 16.12/16.40 (assume @p76 (and (tptp.aFunction0 tptp.xc) @t104 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t102) tptp.xT))) % 16.12/16.40 (assume @p77 (forall @t3 (=> @t51 (forall @t8 (=> (and @t67 @t45) (forall @t18 (=> (and @t98 (= @t97 @t83) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t97) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t40 (and (tptp.aElementOf0 @t35 tptp.xT) (exists @t93 (and (tptp.aSubsetOf0 @t92 @t5) (tptp.isCountable0 @t92) (forall (@list @t105) (=> (tptp.aElementOf0 @t105 (tptp.slbdtsldtrb0 @t92 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t105) @t35))))))))))))))) % 16.12/16.40 (assume @p78 (= tptp.xK tptp.sz00)) % 16.12/16.40 (assume @p79 (tptp.aElementOf0 tptp.slcrc0 @t106)) % 16.12/16.40 (assume @p80 @t112) % 16.12/16.40 (assume @p81 true) % 16.12/16.40 (step @p82 :rule quant-merge-prenex :args ((= (forall @t3 @t118) (forall (@list @t1 @t113) @t116)))) % 16.12/16.40 (step @p83 :rule alpha_equiv :args (@t119 (@list @t113) (@list @t5))) % 16.12/16.40 (step @p84 :rule refl :args (@t115)) % 16.12/16.40 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t120)) % 16.12/16.40 (step @p86 :rule quant-miniscope-or :args ((= @t118 @t120))) % 16.12/16.40 (step @p87 :rule trans :premises (@p86 @p85)) % 16.12/16.40 (step @p88 :rule symm :premises (@p87)) % 16.12/16.40 (step @p89 :rule cong :premises (@p88) :args ((forall @t3 (or @t115 @t121)))) % 16.12/16.40 (step @p90 :rule trans :premises (@p89 @p82)) % 16.12/16.40 (step @p91 :rule bool-impl-elim :args (@t2 @t121)) % 16.12/16.40 (step @p92 :rule cong :premises (@p91) :args ((forall @t3 (=> @t2 @t121)))) % 16.12/16.40 (step @p93 :rule trans :premises (@p92 @p90)) % 16.12/16.40 (step @p94 :rule bool-impl-elim :args (@t17 @t16)) % 16.12/16.40 (step @p95 :rule cong :premises (@p94) :args (@t19)) % 16.12/16.40 (step @p96 :rule refl :args (@t20)) % 16.12/16.40 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t21)) % 16.12/16.40 (step @p98 :rule refl :args (@t22)) % 16.12/16.40 (step @p99 :rule cong :premises (@p98 @p97) :args (@t23)) % 16.12/16.40 (step @p100 :rule cong :premises (@p99) :args (@t24)) % 16.12/16.40 (step @p101 :rule refl :args (@t2)) % 16.12/16.40 (step @p102 :rule cong :premises (@p101 @p100) :args (@t25)) % 16.12/16.40 (step @p103 :rule cong :premises (@p102) :args (@t26)) % 16.12/16.40 (step @p104 :rule trans :premises (@p103 @p93)) % 16.12/16.40 (step @p105 :rule eq_resolve :premises (@p10 @p104)) % 16.12/16.40 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.xS @t125))) % 16.12/16.40 (step @p107 :rule instantiate :premises (@p105) :args ((@list tptp.szNzAzT0 tptp.xS))) % 16.12/16.40 (step @p108 :rule and_elim :premises (@p23) :args (0)) % 16.12/16.40 (step @p109 :rule cnf_or_pos :args (@t131)) % 16.12/16.40 (step @p110 :rule reordering :premises (@p109) :args ((or @t130 @t129 (not @t131)))) % 16.12/16.40 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p107) :args (@t129 @t132 (@list @t49 @t131))) % 16.12/16.40 (step @p112 :rule and_elim :premises (@p75) :args (0)) % 16.12/16.40 (step @p113 :rule cnf_equiv_pos1 :args (@t129)) % 16.12/16.40 (step @p114 :rule reordering :premises (@p113) :args ((or (not @t101) @t128 (not @t129)))) % 16.12/16.40 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p111) :args (@t128 @t132 (@list @t101 @t129))) % 16.12/16.40 (step @p116 :rule cnf_and_pos :args (@t128 0)) % 16.12/16.40 (step @p117 :rule reordering :premises (@p116) :args ((or @t127 (not @t128)))) % 16.12/16.40 (step @p118 :rule chain_m_resolution :premises (@p117 @p115) :args (@t127 @t133 (@list @t128))) % 16.12/16.40 (step @p119 :rule cnf_or_pos :args (@t139)) % 16.12/16.40 (step @p120 :rule reordering :premises (@p119) :args ((or @t138 @t137 (not @t139)))) % 16.12/16.40 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p106) :args (@t137 @t132 (@list @t127 @t139))) % 16.12/16.40 (step @p122 :rule eq-symm :args (@t141 @t142)) % 16.12/16.40 (step @p123 :rule cong :premises (@p122) :args (@t143)) % 16.12/16.40 (step @p124 :rule refl :args (@t144)) % 16.12/16.40 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t145)) % 16.12/16.40 (step @p126 :rule eq-symm :args (@t140 @t77)) % 16.12/16.40 (step @p127 :rule cong :premises (@p126 @p125) :args (@t146)) % 16.12/16.40 (step @p128 :rule refl :args (@t147)) % 16.12/16.40 (step @p129 :rule refl :args (@t115)) % 16.12/16.40 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127) :args (@t148)) % 16.12/16.40 (step @p131 :rule cong :premises (@p130) :args (@t150)) % 16.12/16.40 (step @p132 :rule quant-merge-prenex :args ((= (forall @t31 @t152) @t150))) % 16.12/16.40 (step @p133 :rule alpha_equiv :args (@t153 (@list @t140) (@list @t15))) % 16.12/16.40 (step @p134 :rule refl :args (@t147)) % 16.12/16.40 (step @p135 :rule nary_cong :premises (@p84 @p134 @p133) :args (@t154)) % 16.12/16.40 (step @p136 :rule quant-miniscope-or :args ((= @t152 @t154))) % 16.12/16.40 (step @p137 :rule trans :premises (@p136 @p135)) % 16.12/16.40 (step @p138 :rule symm :premises (@p137)) % 16.12/16.40 (step @p139 :rule cong :premises (@p138) :args ((forall @t31 @t156))) % 16.12/16.40 (step @p140 :rule trans :premises (@p139 @p132)) % 16.12/16.40 (step @p141 :rule trans :premises (@p140 @p131)) % 16.12/16.40 (step @p142 :rule aci_norm :args ((= (or (or @t115 @t147) @t155) @t156))) % 16.12/16.40 (step @p143 :rule refl :args (@t155)) % 16.12/16.40 (step @p144 :rule bool-and-de-morgan :args (@t2 @t53 true)) % 16.12/16.40 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or (not @t63) @t155))) % 16.12/16.40 (step @p146 :rule trans :premises (@p145 @p142)) % 16.12/16.40 (step @p147 :rule bool-impl-elim :args (@t63 @t155)) % 16.12/16.40 (step @p148 :rule trans :premises (@p147 @p146)) % 16.12/16.40 (step @p149 :rule cong :premises (@p148) :args ((forall @t31 (=> @t63 @t155)))) % 16.12/16.40 (step @p150 :rule trans :premises (@p149 @p141)) % 16.12/16.40 (step @p151 :rule eq-symm :args (@t71 @t5)) % 16.12/16.40 (step @p152 :rule refl :args (@t72)) % 16.12/16.40 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t73)) % 16.12/16.40 (step @p154 :rule refl :args (@t39)) % 16.12/16.40 (step @p155 :rule cong :premises (@p154 @p153) :args (@t74)) % 16.12/16.40 (step @p156 :rule cong :premises (@p155) :args (@t75)) % 16.12/16.40 (step @p157 :rule refl :args (@t33)) % 16.12/16.40 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t76)) % 16.12/16.40 (step @p159 :rule refl :args (@t78)) % 16.12/16.40 (step @p160 :rule cong :premises (@p159 @p158) :args (@t79)) % 16.12/16.40 (step @p161 :rule cong :premises (@p160) :args (@t80)) % 16.12/16.40 (step @p162 :rule refl :args (@t63)) % 16.12/16.40 (step @p163 :rule cong :premises (@p162 @p161) :args (@t81)) % 16.12/16.40 (step @p164 :rule cong :premises (@p163) :args (@t82)) % 16.12/16.40 (step @p165 :rule trans :premises (@p164 @p150)) % 16.12/16.40 (step @p166 :rule eq_resolve :premises (@p57 @p165)) % 16.12/16.40 (step @p167 :rule eq-symm :args (tptp.xK @t71)) % 16.12/16.40 (step @p168 :rule refl :args (@t157)) % 16.12/16.40 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t158)) % 16.12/16.40 (step @p170 :rule refl :args (@t159)) % 16.12/16.40 (step @p171 :rule cong :premises (@p170 @p169) :args ((= @t159 @t158))) % 16.12/16.40 (step @p172 :rule eq-symm :args (@t158 @t159)) % 16.12/16.40 (step @p173 :rule trans :premises (@p172 @p171)) % 16.12/16.40 (step @p174 :rule cong :premises (@p173) :args (@t160)) % 16.12/16.40 (step @p175 :rule refl :args (@t161)) % 16.12/16.40 (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t162)) % 16.12/16.40 (step @p177 :rule eq-symm :args (@t103 @t102)) % 16.12/16.40 (step @p178 :rule cong :premises (@p177 @p176) :args (@t163)) % 16.12/16.40 (step @p179 :rule refl :args (@t164)) % 16.12/16.40 (step @p180 :rule refl :args (@t138)) % 16.12/16.40 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t165)) % 16.12/16.40 (step @p182 :rule refl :args (@t166)) % 16.12/16.40 (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t166 @t165))) % 16.12/16.40 (assume-push @p336 @t166) % 16.12/16.40 (step @p185 :rule instantiate :premises (@p166) :args ((@list tptp.xS tptp.xK @t102))) % 16.12/16.40 (step-pop @p337 :rule scope :premises (@p185)) % 16.12/16.40 (step @p186 :rule process_scope :premises (@p337) :args (@t165)) % 16.12/16.40 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 16.12/16.40 (step @p189 :rule implies_elim :premises (@p188)) % 16.12/16.40 (step @p190 :rule chain_m_resolution :premises (@p189 @p166) :args (@t170 @t133 (@list @t166))) % 16.12/16.40 (step @p191 :rule cnf_or_pos :args (@t170)) % 16.12/16.40 (step @p192 :rule reordering :premises (@p191) :args ((or @t164 @t138 @t169 (not @t170)))) % 16.12/16.40 (step @p193 :rule chain_m_resolution :premises (@p192 @p74 @p118 @p190) :args (@t169 (@list false false false) (@list @t100 @t127 @t170))) % 16.12/16.40 (step @p194 :rule and_elim :premises (@p76) :args (1)) % 16.12/16.40 (step @p195 :rule cnf_equiv_pos1 :args (@t169)) % 16.12/16.40 (step @p196 :rule reordering :premises (@p195) :args ((or (not @t104) @t168 (not @t169)))) % 16.12/16.40 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p193) :args (@t168 @t132 (@list @t104 @t169))) % 16.12/16.40 (step @p198 :rule cnf_and_pos :args (@t168 1)) % 16.12/16.40 (step @p199 :rule reordering :premises (@p198) :args ((or @t167 (not @t168)))) % 16.12/16.40 (step @p200 :rule chain_m_resolution :premises (@p199 @p197) :args (@t167 @t133 (@list @t168))) % 16.12/16.40 (step @p201 :rule eq-symm :args (@t171 tptp.xK)) % 16.12/16.40 (step @p202 :rule refl :args (@t136)) % 16.12/16.40 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t173)) % 16.12/16.40 (step @p204 :rule refl :args (@t174)) % 16.12/16.40 (step @p205 :rule cong :premises (@p204 @p203) :args (@t175)) % 16.12/16.40 (step @p206 :rule refl :args (@t167)) % 16.12/16.40 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t167 @t175))) % 16.12/16.40 (assume-push @p338 @t167) % 16.12/16.40 (step @p209 :rule instantiate :premises (@p200) :args (@t176)) % 16.12/16.40 (step-pop @p339 :rule scope :premises (@p209)) % 16.12/16.40 (step @p210 :rule process_scope :premises (@p339) :args (@t175)) % 16.12/16.40 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 16.12/16.40 (step @p213 :rule implies_elim :premises (@p212)) % 16.12/16.40 (step @p214 :rule chain_m_resolution :premises (@p213 @p200) :args (@t179 @t133 (@list @t167))) % 16.12/16.40 (step @p215 :rule symm :premises (@p78)) % 16.12/16.40 (step @p216 :rule cong :premises (@p215) :args (@t69)) % 16.12/16.40 (step @p217 :rule symm :premises (@p52)) % 16.12/16.40 (step @p218 :rule trans :premises (@p217 @p216)) % 16.12/16.40 (step @p219 :rule refl :args (tptp.xc)) % 16.12/16.40 (step @p220 :rule cong :premises (@p219 @p218) :args (@t107)) % 16.12/16.40 (step @p221 :rule refl :args (@t108)) % 16.12/16.40 (step @p222 :rule cong :premises (@p221 @p220) :args (@t109)) % 16.12/16.40 (step @p223 :rule refl :args (tptp.xS)) % 16.12/16.40 (step @p224 :rule cong :premises (@p223 @p215) :args (@t106)) % 16.12/16.40 (step @p225 :rule refl :args (@t1)) % 16.12/16.40 (step @p226 :rule cong :premises (@p225 @p224) :args (@t110)) % 16.12/16.40 (step @p227 :rule cong :premises (@p226) :args (@t180)) % 16.12/16.40 (step @p228 :rule nary_cong :premises (@p227 @p222) :args (@t181)) % 16.12/16.40 (step @p229 :rule cong :premises (@p228) :args (@t182)) % 16.12/16.40 (step @p230 :rule cong :premises (@p229) :args ((not @t182))) % 16.12/16.40 (step @p231 :rule bool-impl-elim :args (@t110 @t109)) % 16.12/16.40 (step @p232 :rule cong :premises (@p231) :args (@t111)) % 16.12/16.40 (step @p233 :rule cong :premises (@p232) :args (@t112)) % 16.12/16.40 (step @p234 :rule trans :premises (@p233 @p230)) % 16.12/16.40 (step @p235 :rule eq_resolve :premises (@p80 @p234)) % 16.12/16.40 (step @p236 :rule refl :args (@t188)) % 16.12/16.40 (step @p237 :rule bool-double-not-elim :args (@t124)) % 16.12/16.40 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or (not @t189) @t188))) % 16.12/16.40 (step @p239 :rule eq-symm :args (@t183 @t123)) % 16.12/16.40 (step @p240 :rule refl :args (@t186)) % 16.12/16.40 (step @p241 :rule nary_cong :premises (@p240 @p239) :args (@t190)) % 16.12/16.40 (step @p242 :rule cong :premises (@p241) :args (@t191)) % 16.12/16.40 (step @p243 :rule refl :args (@t189)) % 16.12/16.40 (step @p244 :rule cong :premises (@p243 @p242) :args ((=> @t189 @t191))) % 16.12/16.40 (assume-push @p340 @t189) % 16.12/16.40 (step @p246 :rule skolemize :premises (@p235)) % 16.12/16.40 (step-pop @p341 :rule scope :premises (@p246)) % 16.12/16.40 (step @p247 :rule process_scope :premises (@p341) :args (@t191)) % 16.12/16.40 (step @p249 :rule eq_resolve :premises (@p247 @p244)) % 16.12/16.40 (step @p250 :rule implies_elim :premises (@p249)) % 16.12/16.40 (step @p251 :rule eq_resolve :premises (@p250 @p238)) % 16.12/16.40 (step @p252 :rule chain_m_resolution :premises (@p251 @p235) :args (@t188 @t192 (@list @t124))) % 16.12/16.40 (step @p253 :rule bool-double-not-elim :args (@t185)) % 16.12/16.40 (step @p254 :rule refl :args (@t187)) % 16.12/16.40 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or @t187 (not @t186)))) % 16.12/16.40 (step @p256 :rule cnf_or_neg :args (@t187 0)) % 16.12/16.40 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 16.12/16.40 (step @p258 :rule reordering :premises (@p257) :args ((or @t185 @t187))) % 16.12/16.40 (step @p259 :rule chain_m_resolution :premises (@p258 @p252) :args (@t185 @t192 @t193)) % 16.12/16.40 (step @p260 :rule true_intro :premises (@p259)) % 16.12/16.40 (step @p261 :rule refl :args (@t125)) % 16.12/16.40 (step @p262 :rule cong :premises (@p261 @p194) :args (@t174)) % 16.12/16.40 (step @p263 :rule trans :premises (@p262 @p260)) % 16.12/16.40 (step @p264 :rule true_elim :premises (@p263)) % 16.12/16.40 (step @p265 :rule cnf_equiv_pos1 :args (@t179)) % 16.12/16.40 (step @p266 :rule reordering :premises (@p265) :args ((or (not @t174) @t178 (not @t179)))) % 16.12/16.40 (step @p267 :rule chain_m_resolution :premises (@p266 @p264 @p214) :args (@t178 @t132 (@list @t174 @t179))) % 16.12/16.40 (step @p268 :rule cnf_and_pos :args (@t178 0)) % 16.12/16.40 (step @p269 :rule reordering :premises (@p268) :args ((or @t136 @t194))) % 16.12/16.40 (step @p270 :rule chain_m_resolution :premises (@p269 @p267) :args (@t136 @t133 @t195)) % 16.12/16.40 (step @p271 :rule cnf_equiv_pos1 :args (@t137)) % 16.12/16.40 (step @p272 :rule reordering :premises (@p271) :args ((or (not @t136) @t135 (not @t137)))) % 16.12/16.40 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p121) :args (@t135 @t132 (@list @t136 @t137))) % 16.12/16.40 (step @p274 :rule cnf_and_pos :args (@t135 0)) % 16.12/16.40 (step @p275 :rule reordering :premises (@p274) :args ((or @t134 (not @t135)))) % 16.12/16.40 (step @p276 :rule chain_m_resolution :premises (@p275 @p273) :args (@t134 @t133 (@list @t135))) % 16.12/16.40 (step @p277 :rule cnf_and_pos :args (@t178 1)) % 16.12/16.40 (step @p278 :rule reordering :premises (@p277) :args ((or @t177 @t194))) % 16.12/16.40 (step @p279 :rule chain_m_resolution :premises (@p278 @p267) :args (@t177 @t133 @t195)) % 16.12/16.40 (step @p280 :rule cnf_or_neg :args (@t187 1)) % 16.12/16.40 (step @p281 :rule chain_m_resolution :premises (@p280 @p252) :args ((not @t184) @t192 @t193)) % 16.12/16.40 (assume-push @p342 @t196) % 16.12/16.40 (assume-push @p343 @t196) % 16.12/16.40 (step @p284 :rule cong :premises (@p219 @p342) :args (@t123)) % 16.12/16.40 (step-pop @p344 :rule scope :premises (@p284)) % 16.12/16.40 (step @p285 :rule process_scope :premises (@p344) :args (@t184)) % 16.12/16.40 (step @p287 :rule modus_ponens :premises (@p342 @p285)) % 16.12/16.40 (step-pop @p345 :rule scope :premises (@p287)) % 16.12/16.40 (step @p288 :rule process_scope :premises (@p345) :args (@t184)) % 16.12/16.40 (step @p290 :rule implies_elim :premises (@p288)) % 16.12/16.40 (step @p291 :rule reordering :premises (@p290) :args ((or @t184 @t197))) % 16.12/16.40 (step @p292 :rule chain_m_resolution :premises (@p291 @p281) :args (@t197 @t192 (@list @t184))) % 16.12/16.40 (step @p293 :rule cnf_equiv_pos2 :args (@t198)) % 16.12/16.40 (step @p294 :rule reordering :premises (@p293) :args ((or @t196 (not @t177) @t199))) % 16.12/16.40 (step @p295 :rule chain_m_resolution :premises (@p294 @p292 @p279) :args (@t199 (@list true false) (@list @t196 @t177))) % 16.12/16.40 (step @p296 :rule eq-symm :args (tptp.xK @t59)) % 16.12/16.40 (step @p297 :rule refl :args (@t200)) % 16.12/16.40 (step @p298 :rule cong :premises (@p297 @p296) :args (@t201)) % 16.12/16.40 (step @p299 :rule nary_cong :premises (@p129 @p298) :args (@t202)) % 16.12/16.40 (step @p300 :rule cong :premises (@p299) :args ((forall @t3 @t202))) % 16.12/16.40 (step @p301 :rule refl :args (@t59)) % 16.12/16.40 (step @p302 :rule cong :premises (@p215 @p301) :args (@t203)) % 16.12/16.40 (step @p303 :rule cong :premises (@p225 @p218) :args (@t10)) % 16.12/16.40 (step @p304 :rule cong :premises (@p303 @p302) :args (@t204)) % 16.12/16.40 (step @p305 :rule nary_cong :premises (@p129 @p304) :args (@t205)) % 16.12/16.40 (step @p306 :rule cong :premises (@p305) :args ((forall @t3 @t205))) % 16.12/16.40 (step @p307 :rule trans :premises (@p306 @p300)) % 16.12/16.40 (step @p308 :rule bool-impl-elim :args (@t2 @t204)) % 16.12/16.40 (step @p309 :rule cong :premises (@p308) :args ((forall @t3 (=> @t2 @t204)))) % 16.12/16.40 (step @p310 :rule eq-symm :args (@t59 tptp.sz00)) % 16.12/16.40 (step @p311 :rule refl :args (@t10)) % 16.12/16.40 (step @p312 :rule cong :premises (@p311 @p310) :args ((= @t10 @t60))) % 16.12/16.40 (step @p313 :rule eq-symm :args (@t60 @t10)) % 16.12/16.40 (step @p314 :rule trans :premises (@p313 @p312)) % 16.12/16.40 (step @p315 :rule cong :premises (@p101 @p314) :args (@t61)) % 16.12/16.40 (step @p316 :rule cong :premises (@p315) :args (@t62)) % 16.12/16.40 (step @p317 :rule trans :premises (@p316 @p309)) % 16.12/16.40 (step @p318 :rule trans :premises (@p317 @p307)) % 16.12/16.40 (step @p319 :rule eq_resolve :premises (@p42 @p318)) % 16.12/16.40 (step @p320 :rule eq-symm :args (@t125 @t122)) % 16.12/16.40 (step @p321 :rule cong :premises (@p320 @p201) :args (@t206)) % 16.12/16.40 (step @p322 :rule refl :args (@t207)) % 16.12/16.40 (step @p323 :rule nary_cong :premises (@p322 @p321) :args (@t208)) % 16.12/16.40 (step @p324 :rule refl :args (@t209)) % 16.12/16.40 (step @p325 :rule cong :premises (@p324 @p323) :args ((=> @t209 @t208))) % 16.12/16.40 (assume-push @p346 @t209) % 16.12/16.40 (step @p327 :rule instantiate :premises (@p319) :args (@t176)) % 16.12/16.40 (step-pop @p347 :rule scope :premises (@p327)) % 16.12/16.40 (step @p328 :rule process_scope :premises (@p347) :args (@t208)) % 16.12/16.40 (step @p330 :rule eq_resolve :premises (@p328 @p325)) % 16.12/16.40 (step @p331 :rule implies_elim :premises (@p330)) % 16.12/16.40 (step @p332 :rule chain_m_resolution :premises (@p331 @p319) :args (@t210 @t133 (@list @t209))) % 16.12/16.40 (step @p333 :rule cnf_or_pos :args (@t210)) % 16.12/16.40 (step @p334 :rule reordering :premises (@p333) :args ((or @t207 @t198 (not @t210)))) % 16.12/16.40 (step @p335 false :rule chain_m_resolution :premises (@p334 @p332 @p295 @p276) :args (false (@list false true false) (@list @t210 @t198 @t134))) % 15.57/16.40 ) % 15.57/16.40 % SZS output end Proof % 15.57/16.40 % cvc5 exiting %------------------------------------------------------------------------------