%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM605+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 : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:59 AM UTC 2026 % Result : Theorem 16.72s 16.99s % Output : Proof 16.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM605+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 : n014.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 11:35:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.72/16.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.72/16.99 --- Run --no-e-matching --full-saturate-quant at 6... % 16.72/16.99 % SZS status Theorem % 16.72/16.99 % SZS output start Proof % 16.72/16.99 ( % 16.72/16.99 (declare-sort $$unsorted 0) % 16.72/16.99 (declare-const tptp.xQ $$unsorted) % 16.72/16.99 (declare-const tptp.xe $$unsorted) % 16.72/16.99 (declare-const tptp.xC $$unsorted) % 16.72/16.99 (declare-const tptp.xN $$unsorted) % 16.72/16.99 (declare-const tptp.sz00 $$unsorted) % 16.72/16.99 (declare-const tptp.xc $$unsorted) % 16.72/16.99 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 16.72/16.99 (declare-const tptp.szNzAzT0 $$unsorted) % 16.72/16.99 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 16.72/16.99 (declare-const tptp.xd $$unsorted) % 16.72/16.99 (declare-const tptp.xk $$unsorted) % 16.72/16.99 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.72/16.99 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 16.72/16.99 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 16.72/16.99 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.72/16.99 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 16.72/16.99 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.72/16.99 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 16.72/16.99 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.xK $$unsorted) % 16.72/16.99 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.xT $$unsorted) % 16.72/16.99 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.xO $$unsorted) % 16.72/16.99 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.xS $$unsorted) % 16.72/16.99 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.slcrc0 $$unsorted) % 16.72/16.99 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 16.72/16.99 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 16.72/16.99 (define @t1 () (@var "W0" $$unsorted)) % 16.72/16.99 (define @t2 () (tptp.aSet0 @t1)) % 16.72/16.99 (define @t3 () (@list @t1)) % 16.72/16.99 (define @t4 () (tptp.aElement0 @t1)) % 16.72/16.99 (define @t5 () (@var "W1" $$unsorted)) % 16.72/16.99 (define @t6 () (tptp.aElement0 @t5)) % 16.72/16.99 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 16.72/16.99 (define @t8 () (@list @t5)) % 16.72/16.99 (define @t9 () (tptp.isFinite0 @t1)) % 16.72/16.99 (define @t10 () (= @t1 tptp.slcrc0)) % 16.72/16.99 (define @t11 () (tptp.isCountable0 @t1)) % 16.72/16.99 (define @t12 () (not @t9)) % 16.72/16.99 (define @t13 () (and @t2 @t11)) % 16.72/16.99 (define @t14 () (not @t10)) % 16.72/16.99 (define @t15 () (@var "W2" $$unsorted)) % 16.72/16.99 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 16.72/16.99 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 16.72/16.99 (define @t18 () (@list @t15)) % 16.72/16.99 (define @t19 () (tptp.aSet0 @t5)) % 16.72/16.99 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 16.72/16.99 (define @t21 () (tptp.isFinite0 @t5)) % 16.72/16.99 (define @t22 () (and @t2 @t9)) % 16.72/16.99 (define @t23 () (= @t1 @t5)) % 16.72/16.99 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 16.72/16.99 (define @t25 () (@list @t1 @t5)) % 16.72/16.99 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 16.72/16.99 (define @t27 () (tptp.aSet0 @t15)) % 16.72/16.99 (define @t28 () (@list @t1 @t5 @t15)) % 16.72/16.99 (define @t29 () (@var "W3" $$unsorted)) % 16.72/16.99 (define @t30 () (= @t29 @t5)) % 16.72/16.99 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 16.72/16.99 (define @t32 () (tptp.aElement0 @t29)) % 16.72/16.99 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 16.72/16.99 (define @t34 () (@list @t29)) % 16.72/16.99 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 16.72/16.99 (define @t36 () (and @t2 @t6)) % 16.72/16.99 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 16.72/16.99 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 16.72/16.99 (define @t39 () (tptp.isCountable0 @t5)) % 16.72/16.99 (define @t40 () (and @t19 @t39)) % 16.72/16.99 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 16.72/16.99 (define @t42 () (and @t19 @t21)) % 16.72/16.99 (define @t43 () (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 16.72/16.99 (define @t44 () (tptp.szszuzczcdt0 @t1)) % 16.72/16.99 (define @t45 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 16.72/16.99 (define @t46 () (tptp.szszuzczcdt0 @t5)) % 16.72/16.99 (define @t47 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 16.72/16.99 (define @t48 () (and @t45 @t47)) % 16.72/16.99 (define @t49 () (= @t1 tptp.sz00)) % 16.72/16.99 (define @t50 () (tptp.sdtlseqdt0 @t1 @t5)) % 16.72/16.99 (define @t51 () (tptp.sdtlseqdt0 @t5 @t1)) % 16.72/16.99 (define @t52 () (tptp.sdtlseqdt0 @t5 @t15)) % 16.72/16.99 (define @t53 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 16.72/16.99 (define @t54 () (tptp.sbrdtbr0 @t1)) % 16.72/16.99 (define @t55 () (and @t2 @t47)) % 16.72/16.99 (define @t56 () (tptp.szmzizndt0 @t1)) % 16.72/16.99 (define @t57 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 16.72/16.99 (define @t58 () (tptp.szmzizndt0 @t5)) % 16.72/16.99 (define @t59 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 16.72/16.99 (define @t60 () (tptp.slbdtrb0 @t1)) % 16.72/16.99 (define @t61 () (tptp.slbdtrb0 tptp.sz00)) % 16.72/16.99 (define @t62 () (tptp.slbdtrb0 @t5)) % 16.72/16.99 (define @t63 () (tptp.sbrdtbr0 @t60)) % 16.72/16.99 (define @t64 () (=> @t45 (= @t63 @t1))) % 16.72/16.99 (define @t65 () (forall @t3 @t64)) % 16.72/16.99 (define @t66 () (tptp.sbrdtbr0 @t29)) % 16.72/16.99 (define @t67 () (tptp.aSubsetOf0 @t29 @t1)) % 16.72/16.99 (define @t68 () (and @t67 (= @t66 @t5))) % 16.72/16.99 (define @t69 () (= @t33 @t68)) % 16.72/16.99 (define @t70 () (forall @t34 @t69)) % 16.72/16.99 (define @t71 () (and @t27 @t70)) % 16.72/16.99 (define @t72 () (tptp.slbdtsldtrb0 @t1 @t5)) % 16.72/16.99 (define @t73 () (= @t15 @t72)) % 16.72/16.99 (define @t74 () (= @t73 @t71)) % 16.72/16.99 (define @t75 () (forall @t18 @t74)) % 16.72/16.99 (define @t76 () (=> @t55 @t75)) % 16.72/16.99 (define @t77 () (forall @t25 @t76)) % 16.72/16.99 (define @t78 () (tptp.slbdtsldtrb0 @t5 @t1)) % 16.72/16.99 (define @t79 () (tptp.aFunction0 @t1)) % 16.72/16.99 (define @t80 () (tptp.szDzozmdt0 @t1)) % 16.72/16.99 (define @t81 () (tptp.sdtlpdtrp0 @t1 @t5)) % 16.72/16.99 (define @t82 () (tptp.aElementOf0 @t5 @t80)) % 16.72/16.99 (define @t83 () (tptp.sdtlpdtrp0 @t1 @t29)) % 16.72/16.99 (define @t84 () (tptp.aElementOf0 @t29 @t80)) % 16.72/16.99 (define @t85 () (tptp.sdtlbdtrb0 @t1 @t5)) % 16.72/16.99 (define @t86 () (and @t79 @t6)) % 16.72/16.99 (define @t87 () (@var "W4" $$unsorted)) % 16.72/16.99 (define @t88 () (@list @t87)) % 16.72/16.99 (define @t89 () (tptp.sdtlcdtrc0 @t1 @t5)) % 16.72/16.99 (define @t90 () (tptp.aSubsetOf0 @t5 @t80)) % 16.72/16.99 (define @t91 () (tptp.sdtlcdtrc0 @t1 @t80)) % 16.72/16.99 (define @t92 () (tptp.szDzozmdt0 @t15)) % 16.72/16.99 (define @t93 () (tptp.aFunction0 @t15)) % 16.72/16.99 (define @t94 () (tptp.szDzizrdt0 @t1)) % 16.72/16.99 (define @t95 () (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 16.72/16.99 (define @t96 () (tptp.szDzozmdt0 tptp.xc)) % 16.72/16.99 (define @t97 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 16.72/16.99 (define @t98 () (@var "W5" $$unsorted)) % 16.72/16.99 (define @t99 () (not (= tptp.xK tptp.sz00))) % 16.72/16.99 (define @t100 () (tptp.szszuzczcdt0 tptp.xk)) % 16.72/16.99 (define @t101 () (tptp.sdtlpdtrp0 tptp.xN @t44)) % 16.72/16.99 (define @t102 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 16.72/16.99 (define @t103 () (tptp.szmzizndt0 @t102)) % 16.72/16.99 (define @t104 () (tptp.sdtmndt0 @t102 @t103)) % 16.72/16.99 (define @t105 () (and (tptp.aSubsetOf0 @t102 tptp.szNzAzT0) (tptp.isCountable0 @t102))) % 16.72/16.99 (define @t106 () (tptp.szDzozmdt0 tptp.xN)) % 16.72/16.99 (define @t107 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 16.72/16.99 (define @t108 () (tptp.sdtpldt0 @t5 @t103)) % 16.72/16.99 (define @t109 () (tptp.slbdtsldtrb0 @t104 tptp.xk)) % 16.72/16.99 (define @t110 () (and @t19 (tptp.aElementOf0 @t5 @t109))) % 16.72/16.99 (define @t111 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 16.72/16.99 (define @t112 () (tptp.sdtlpdtrp0 @t111 @t5)) % 16.72/16.99 (define @t113 () (tptp.szDzozmdt0 @t111)) % 16.72/16.99 (define @t114 () (tptp.aElementOf0 @t5 tptp.xT)) % 16.72/16.99 (define @t115 () (tptp.slbdtsldtrb0 @t101 tptp.xk)) % 16.72/16.99 (define @t116 () (tptp.szDzozmdt0 tptp.xd)) % 16.72/16.99 (define @t117 () (tptp.szDzizrdt0 tptp.xd)) % 16.72/16.99 (define @t118 () (tptp.sdtlbdtrb0 tptp.xd @t117)) % 16.72/16.99 (define @t119 () (tptp.sdtlcdtrc0 tptp.xe @t118)) % 16.72/16.99 (define @t120 () (tptp.aSet0 tptp.xO)) % 16.72/16.99 (define @t121 () (tptp.slbdtsldtrb0 tptp.xO tptp.xK)) % 16.72/16.99 (define @t122 () (tptp.aElementOf0 tptp.xQ @t121)) % 16.72/16.99 (define @t123 () (= tptp.xQ tptp.slcrc0)) % 16.72/16.99 (define @t124 () (@var "BOUND_VARIABLE_8789" $$unsorted)) % 16.72/16.99 (define @t125 () (tptp.aElementOf0 @t29 @t124)) % 16.72/16.99 (define @t126 () (and @t67 (= @t5 @t66))) % 16.72/16.99 (define @t127 () (tptp.aSet0 @t124)) % 16.72/16.99 (define @t128 () (= (= @t72 @t124) (and @t127 (forall @t34 (= @t126 @t125))))) % 16.72/16.99 (define @t129 () (not @t47)) % 16.72/16.99 (define @t130 () (not @t2)) % 16.72/16.99 (define @t131 () (or @t130 @t129 @t128)) % 16.72/16.99 (define @t132 () (@list @t1 @t5 @t124)) % 16.72/16.99 (define @t133 () (forall @t34 (= @t125 @t126))) % 16.72/16.99 (define @t134 () (and @t127 @t133)) % 16.72/16.99 (define @t135 () (= (= @t124 @t72) @t134)) % 16.72/16.99 (define @t136 () (or @t130 @t129 @t135)) % 16.72/16.99 (define @t137 () (forall @t132 @t136)) % 16.72/16.99 (define @t138 () (@list @t124)) % 16.72/16.99 (define @t139 () (forall @t138 @t136)) % 16.72/16.99 (define @t140 () (forall @t138 @t135)) % 16.72/16.99 (define @t141 () (or @t130 @t129 @t140)) % 16.72/16.99 (define @t142 () (forall @t18 (= @t73 (and @t27 (forall @t34 (= @t33 @t126)))))) % 16.72/16.99 (define @t143 () (or @t130 @t129 @t142)) % 16.72/16.99 (define @t144 () (tptp.aSubsetOf0 @t29 @t119)) % 16.72/16.99 (define @t145 () (and @t144 (= @t66 @t100))) % 16.72/16.99 (define @t146 () (tptp.slbdtsldtrb0 @t119 @t100)) % 16.72/16.99 (define @t147 () (tptp.aElementOf0 @t29 @t146)) % 16.72/16.99 (define @t148 () (forall @t34 (= @t147 @t145))) % 16.72/16.99 (define @t149 () (tptp.aSet0 @t146)) % 16.72/16.99 (define @t150 () (and @t149 @t148)) % 16.72/16.99 (define @t151 () (and @t144 (= @t100 @t66))) % 16.72/16.99 (define @t152 () (= @t151 @t147)) % 16.72/16.99 (define @t153 () (forall @t34 @t152)) % 16.72/16.99 (define @t154 () (and @t149 @t153)) % 16.72/16.99 (define @t155 () (= (= @t146 @t146) @t154)) % 16.72/16.99 (define @t156 () (tptp.aElementOf0 @t100 @t106)) % 16.72/16.99 (define @t157 () (not @t156)) % 16.72/16.99 (define @t158 () (tptp.aSet0 @t119)) % 16.72/16.99 (define @t159 () (not @t158)) % 16.72/16.99 (define @t160 () (or @t159 @t157 @t155)) % 16.72/16.99 (define @t161 () (forall @t132 (or @t130 (not (tptp.aElementOf0 @t5 @t106)) @t128))) % 16.72/16.99 (define @t162 () (or @t159 @t157 @t150)) % 16.72/16.99 (define @t163 () (@list false)) % 16.72/16.99 (define @t164 () (tptp.sbrdtbr0 @t61)) % 16.72/16.99 (define @t165 () (tptp.aSubsetOf0 @t61 @t119)) % 16.72/16.99 (define @t166 () (and @t165 (= @t164 @t100))) % 16.72/16.99 (define @t167 () (tptp.aElementOf0 @t61 @t146)) % 16.72/16.99 (define @t168 () (= @t167 @t166)) % 16.72/16.99 (define @t169 () (= @t100 @t164)) % 16.72/16.99 (define @t170 () (and @t165 @t169)) % 16.72/16.99 (define @t171 () (= @t167 @t170)) % 16.72/16.99 (define @t172 () (@list false false)) % 16.72/16.99 (define @t173 () (= @t1 @t63)) % 16.72/16.99 (define @t174 () (not @t45)) % 16.72/16.99 (define @t175 () (or @t174 @t173)) % 16.72/16.99 (define @t176 () (= tptp.sz00 @t164)) % 16.72/16.99 (define @t177 () (tptp.aElementOf0 tptp.sz00 @t106)) % 16.72/16.99 (define @t178 () (not @t177)) % 16.72/16.99 (define @t179 () (or @t178 @t176)) % 16.72/16.99 (define @t180 () (= tptp.sz00 tptp.xK)) % 16.72/16.99 (assume @p1 (forall @t3 (=> @t2 true))) % 16.72/16.99 (assume @p2 (forall @t3 (=> @t4 true))) % 16.72/16.99 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 16.72/16.99 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 16.72/16.99 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 16.72/16.99 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 16.72/16.99 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 16.72/16.99 (assume @p8 (forall @t3 (=> @t13 @t12))) % 16.72/16.99 (assume @p9 (forall @t3 (=> @t13 @t14))) % 16.72/16.99 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 16.72/16.99 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 16.72/16.99 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 16.72/16.99 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 16.72/16.99 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 16.72/16.99 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 16.72/16.99 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 16.72/16.99 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 16.72/16.99 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 16.72/16.99 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 16.72/16.99 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 16.72/16.99 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 16.72/16.99 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 16.72/16.99 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 16.72/16.99 (assume @p24 @t43) % 16.72/16.99 (assume @p25 (forall @t3 (=> @t45 (and (tptp.aElementOf0 @t44 tptp.szNzAzT0) (not (= @t44 tptp.sz00)))))) % 16.72/16.99 (assume @p26 (forall @t25 (=> @t48 (=> (= @t44 @t46) @t23)))) % 16.72/16.99 (assume @p27 (forall @t3 (=> @t45 (or @t49 (exists @t8 (and @t47 (= @t1 @t46))))))) % 16.72/16.99 (assume @p28 (forall @t3 (=> @t45 (not (= @t1 @t44))))) % 16.72/16.99 (assume @p29 (forall @t25 (=> @t48 (=> @t50 true)))) % 16.72/16.99 (assume @p30 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 16.72/16.99 (assume @p31 (forall @t3 (=> @t45 (not (tptp.sdtlseqdt0 @t44 tptp.sz00))))) % 16.72/16.99 (assume @p32 (forall @t25 (=> @t48 (= @t50 (tptp.sdtlseqdt0 @t44 @t46))))) % 16.72/16.99 (assume @p33 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 @t1 @t44)))) % 16.72/16.99 (assume @p34 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.72/16.99 (assume @p35 (forall @t25 (=> @t48 (=> (and @t50 @t51) @t23)))) % 16.72/16.99 (assume @p36 (forall @t28 (=> (and @t45 @t47 @t53) (=> (and @t50 @t52) (tptp.sdtlseqdt0 @t1 @t15))))) % 16.72/16.99 (assume @p37 (forall @t25 (=> @t48 (or @t50 (tptp.sdtlseqdt0 @t46 @t1))))) % 16.72/16.99 (assume @p38 (forall @t25 (=> @t48 (=> (tptp.iLess0 @t1 @t5) true)))) % 16.72/16.99 (assume @p39 (forall @t3 (=> @t45 (tptp.iLess0 @t1 @t44)))) % 16.72/16.99 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t54)))) % 16.72/16.99 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t54 tptp.szNzAzT0) @t9)))) % 16.72/16.99 (assume @p42 (forall @t3 (=> @t2 (= (= @t54 tptp.sz00) @t10)))) % 16.72/16.99 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t54)))))))) % 16.72/16.99 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t54)))))) % 16.72/16.99 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t54)))))) % 16.72/16.99 (assume @p46 (forall @t25 (=> @t55 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t54)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 16.72/16.99 (assume @p47 (forall @t3 (=> (and @t57 @t14) (forall @t8 (= (= @t5 @t56) (and @t7 (forall @t18 (=> @t16 @t52)))))))) % 16.72/16.99 (assume @p48 (forall @t3 (=> (and @t57 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 16.72/16.99 (assume @p49 (forall @t25 (=> (and @t57 @t59 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t56 @t5) (tptp.aElementOf0 @t58 @t1)) (= @t56 @t58))))) % 16.72/16.99 (assume @p50 (forall @t3 (=> @t45 (forall @t8 (= (= @t5 @t60) (and @t19 (forall @t18 (= @t17 (and @t53 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 16.72/16.99 (assume @p51 (forall @t3 (=> @t45 (tptp.isFinite0 @t60)))) % 16.72/16.99 (assume @p52 (= @t61 tptp.slcrc0)) % 16.72/16.99 (assume @p53 (forall @t25 (=> @t48 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t46)) (or (tptp.aElementOf0 @t1 @t62) @t23))))) % 16.72/16.99 (assume @p54 (forall @t25 (=> @t48 (= @t50 (tptp.aSubsetOf0 @t60 @t62))))) % 16.72/16.99 (assume @p55 (forall @t3 (=> (and @t57 @t9) (exists @t8 (and @t47 (tptp.aSubsetOf0 @t1 @t62)))))) % 16.72/16.99 (assume @p56 @t65) % 16.72/16.99 (assume @p57 @t77) % 16.72/16.99 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t47 (tptp.isFinite0 @t72)))))) % 16.72/16.99 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t47 (not (= @t72 tptp.slcrc0))))))) % 16.72/16.99 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t47 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t72)))))) % 16.72/16.99 (assume @p61 (forall @t3 (=> @t45 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t49)) (=> (and (tptp.aSubsetOf0 @t78 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t78 tptp.slcrc0))) @t26)))))) % 16.72/16.99 (assume @p62 (forall @t25 (=> @t55 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t72) (tptp.isFinite0 @t15)) (exists @t34 (and @t67 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 16.72/16.99 (assume @p63 (forall @t3 (=> @t79 true))) % 16.72/16.99 (assume @p64 (forall @t3 (=> @t79 (tptp.aSet0 @t80)))) % 16.72/16.99 (assume @p65 (forall @t3 (=> @t79 (forall @t8 (=> @t82 (tptp.aElement0 @t81)))))) % 16.72/16.99 (assume @p66 (forall @t25 (=> @t86 (forall @t18 (= (= @t15 @t85) (and @t27 (forall @t34 (= @t33 (and @t84 (= @t83 @t5)))))))))) % 16.72/16.99 (assume @p67 (forall @t25 (=> @t86 (tptp.aSubsetOf0 @t85 @t80)))) % 16.72/16.99 (assume @p68 (forall @t3 (=> @t79 (forall @t8 (=> @t90 (forall @t18 (= (= @t15 @t89) (and @t27 (forall @t34 (= @t33 (exists @t88 (and (tptp.aElementOf0 @t87 @t5) (= (tptp.sdtlpdtrp0 @t1 @t87) @t29))))))))))))) % 16.72/16.99 (assume @p69 (forall @t3 (=> @t79 (forall @t8 (=> @t82 (tptp.aElementOf0 @t81 @t91)))))) % 16.72/16.99 (assume @p70 (forall @t3 (=> @t79 (forall @t8 (=> @t90 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t93 (= @t92 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t83))))))))))) % 16.72/16.99 (assume @p71 (forall @t3 (=> @t79 (forall @t8 (=> (and @t90 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t80) @t84 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t83)))) (tptp.isCountable0 @t89))))))) % 16.72/16.99 (assume @p72 (forall @t3 (=> @t79 (=> (and (tptp.isCountable0 @t80) (tptp.isFinite0 @t91)) (and (tptp.aElement0 @t94) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t94))))))) % 16.72/16.99 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 16.72/16.99 (assume @p74 @t95) % 16.72/16.99 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 16.72/16.99 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t96 @t97) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t96) tptp.xT))) % 16.72/16.99 (assume @p77 (forall @t3 (=> @t45 (forall @t8 (=> (and @t59 @t39) (forall @t18 (=> (and @t93 (= @t92 @t78) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t92) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and (tptp.aElementOf0 @t29 tptp.xT) (exists @t88 (and (tptp.aSubsetOf0 @t87 @t5) (tptp.isCountable0 @t87) (forall (@list @t98) (=> (tptp.aElementOf0 @t98 (tptp.slbdtsldtrb0 @t87 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t98) @t29))))))))))))))) % 16.72/16.99 (assume @p78 @t99) % 16.72/16.99 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= @t100 tptp.xK))) % 16.72/16.99 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t106 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t45 (=> @t105 (and (tptp.aSubsetOf0 @t101 @t104) (tptp.isCountable0 @t101))))))) % 16.72/16.99 (assume @p81 (forall @t3 (=> @t45 @t105))) % 16.72/16.99 (assume @p82 (forall @t25 (=> @t48 (=> @t51 (tptp.aSubsetOf0 @t102 @t107))))) % 16.72/16.99 (assume @p83 (forall @t25 (=> (and @t45 @t47 (not @t23)) (not (= @t103 (tptp.szmzizndt0 @t107)))))) % 16.72/16.99 (assume @p84 (forall @t3 (=> @t45 (forall @t8 (=> @t110 (tptp.aElementOf0 @t108 @t97)))))) % 16.72/16.99 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t45 (and (tptp.aFunction0 @t111) (= @t113 @t109) (forall @t8 (=> @t110 (= @t112 (tptp.sdtlpdtrp0 tptp.xc @t108))))))))) % 16.72/16.99 (assume @p86 (forall @t3 (=> @t45 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t111 @t113) tptp.xT)))) % 16.72/16.99 (assume @p87 (forall @t3 (=> @t45 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t104) @t39) (forall @t18 (=> (and @t27 (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t15 @t109)))))))) % 16.72/16.99 (assume @p88 (forall @t3 (=> @t45 (exists @t8 (and @t114 (exists @t18 (and (tptp.aSubsetOf0 @t15 @t104) (tptp.isCountable0 @t15) (forall @t34 (=> (and (tptp.aSet0 @t29) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk))) (= (tptp.sdtlpdtrp0 @t111 @t29) @t5)))))))))) % 16.72/16.99 (assume @p89 (forall @t3 (=> @t45 (exists @t8 (and @t114 (forall @t18 (=> (and @t27 (tptp.aElementOf0 @t15 @t115)) (= (tptp.sdtlpdtrp0 @t111 @t15) @t5)))))))) % 16.72/16.99 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t45 (= (tptp.sdtlpdtrp0 tptp.xe @t1) @t103))))) % 16.72/16.99 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t116 tptp.szNzAzT0) (forall @t3 (=> @t45 (forall @t8 (=> (and @t19 (tptp.aElementOf0 @t5 @t115)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t112))))))) % 16.72/16.99 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t116) tptp.xT)) % 16.72/16.99 (assume @p93 (and (tptp.aElementOf0 @t117 tptp.xT) (tptp.isCountable0 @t118))) % 16.72/16.99 (assume @p94 (and @t120 (= tptp.xO @t119))) % 16.72/16.99 (assume @p95 (and @t120 (tptp.isCountable0 tptp.xO))) % 16.72/16.99 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t47 (tptp.aElementOf0 @t5 @t118) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 16.72/16.99 (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 16.72/16.99 (assume @p98 @t122) % 16.72/16.99 (assume @p99 (not (not @t123))) % 16.72/16.99 (assume @p100 true) % 16.72/16.99 (step @p101 :rule evaluate :args ((= false true))) % 16.72/16.99 (step @p102 :rule refl :args (@t128)) % 16.72/16.99 (step @p103 :rule and_elim :premises (@p80) :args (1)) % 16.72/16.99 (step @p104 :rule symm :premises (@p103)) % 16.72/16.99 (step @p105 :rule refl :args (@t5)) % 16.72/16.99 (step @p106 :rule cong :premises (@p105 @p104) :args (@t47)) % 16.72/16.99 (step @p107 :rule cong :premises (@p106) :args (@t129)) % 16.72/16.99 (step @p108 :rule refl :args (@t130)) % 16.72/16.99 (step @p109 :rule nary_cong :premises (@p108 @p107 @p102) :args (@t131)) % 16.72/16.99 (step @p110 :rule cong :premises (@p109) :args ((forall @t132 @t131))) % 16.72/16.99 (step @p111 :rule eq-symm :args (@t125 @t126)) % 16.72/16.99 (step @p112 :rule cong :premises (@p111) :args (@t133)) % 16.72/16.99 (step @p113 :rule refl :args (@t127)) % 16.72/16.99 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t134)) % 16.72/16.99 (step @p115 :rule eq-symm :args (@t124 @t72)) % 16.72/16.99 (step @p116 :rule cong :premises (@p115 @p114) :args (@t135)) % 16.72/16.99 (step @p117 :rule refl :args (@t129)) % 16.72/16.99 (step @p118 :rule nary_cong :premises (@p108 @p117 @p116) :args (@t136)) % 16.72/16.99 (step @p119 :rule cong :premises (@p118) :args (@t137)) % 16.72/16.99 (step @p120 :rule quant-merge-prenex :args ((= (forall @t25 @t139) @t137))) % 16.72/16.99 (step @p121 :rule alpha_equiv :args (@t140 (@list @t124) (@list @t15))) % 16.72/16.99 (step @p122 :rule refl :args (@t129)) % 16.72/16.99 (step @p123 :rule refl :args (@t130)) % 16.72/16.99 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t141)) % 16.72/16.99 (step @p125 :rule quant-miniscope-or :args ((= @t139 @t141))) % 16.72/16.99 (step @p126 :rule trans :premises (@p125 @p124)) % 16.72/16.99 (step @p127 :rule symm :premises (@p126)) % 16.72/16.99 (step @p128 :rule cong :premises (@p127) :args ((forall @t25 @t143))) % 16.72/16.99 (step @p129 :rule trans :premises (@p128 @p120)) % 16.72/16.99 (step @p130 :rule trans :premises (@p129 @p119)) % 16.72/16.99 (step @p131 :rule aci_norm :args ((= (or (or @t130 @t129) @t142) @t143))) % 16.72/16.99 (step @p132 :rule refl :args (@t142)) % 16.72/16.99 (step @p133 :rule bool-and-de-morgan :args (@t2 @t47 true)) % 16.72/16.99 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or (not @t55) @t142))) % 16.72/16.99 (step @p135 :rule trans :premises (@p134 @p131)) % 16.72/16.99 (step @p136 :rule bool-impl-elim :args (@t55 @t142)) % 16.72/16.99 (step @p137 :rule trans :premises (@p136 @p135)) % 16.72/16.99 (step @p138 :rule cong :premises (@p137) :args ((forall @t25 (=> @t55 @t142)))) % 16.72/16.99 (step @p139 :rule trans :premises (@p138 @p130)) % 16.72/16.99 (step @p140 :rule eq-symm :args (@t66 @t5)) % 16.72/16.99 (step @p141 :rule refl :args (@t67)) % 16.72/16.99 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t68)) % 16.72/16.99 (step @p143 :rule refl :args (@t33)) % 16.72/16.99 (step @p144 :rule cong :premises (@p143 @p142) :args (@t69)) % 16.72/16.99 (step @p145 :rule cong :premises (@p144) :args (@t70)) % 16.72/16.99 (step @p146 :rule refl :args (@t27)) % 16.72/16.99 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t71)) % 16.72/16.99 (step @p148 :rule refl :args (@t73)) % 16.72/16.99 (step @p149 :rule cong :premises (@p148 @p147) :args (@t74)) % 16.72/16.99 (step @p150 :rule cong :premises (@p149) :args (@t75)) % 16.72/16.99 (step @p151 :rule refl :args (@t55)) % 16.72/16.99 (step @p152 :rule cong :premises (@p151 @p150) :args (@t76)) % 16.72/16.99 (step @p153 :rule cong :premises (@p152) :args (@t77)) % 16.72/16.99 (step @p154 :rule trans :premises (@p153 @p139)) % 16.72/16.99 (step @p155 :rule trans :premises (@p154 @p110)) % 16.72/16.99 (step @p156 :rule eq_resolve :premises (@p57 @p155)) % 16.72/16.99 (step @p157 :rule bool-eq-true :args (@t150)) % 16.72/16.99 (step @p158 :rule eq-symm :args (true @t150)) % 16.72/16.99 (step @p159 :rule trans :premises (@p158 @p157)) % 16.72/16.99 (step @p160 :rule eq-symm :args (@t145 @t147)) % 16.72/16.99 (step @p161 :rule refl :args (@t147)) % 16.72/16.99 (step @p162 :rule eq-symm :args (@t100 @t66)) % 16.72/16.99 (step @p163 :rule refl :args (@t144)) % 16.72/16.99 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t151)) % 16.72/16.99 (step @p165 :rule cong :premises (@p164 @p161) :args (@t152)) % 16.72/16.99 (step @p166 :rule trans :premises (@p165 @p160)) % 16.72/16.99 (step @p167 :rule cong :premises (@p166) :args (@t153)) % 16.72/16.99 (step @p168 :rule refl :args (@t149)) % 16.72/16.99 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t154)) % 16.72/16.99 (step @p170 :rule eq-refl :args (@t146)) % 16.72/16.99 (step @p171 :rule cong :premises (@p170 @p169) :args (@t155)) % 16.72/16.99 (step @p172 :rule trans :premises (@p171 @p159)) % 16.72/16.99 (step @p173 :rule refl :args (@t157)) % 16.72/16.99 (step @p174 :rule refl :args (@t159)) % 16.72/16.99 (step @p175 :rule nary_cong :premises (@p174 @p173 @p172) :args (@t160)) % 16.72/16.99 (step @p176 :rule refl :args (@t161)) % 16.72/16.99 (step @p177 :rule cong :premises (@p176 @p175) :args ((=> @t161 @t160))) % 16.72/16.99 (assume-push @p266 @t161) % 16.72/16.99 (step @p179 :rule instantiate :premises (@p156) :args ((@list @t119 @t100 @t146))) % 16.72/16.99 (step-pop @p267 :rule scope :premises (@p179)) % 16.72/16.99 (step @p180 :rule process_scope :premises (@p267) :args (@t160)) % 16.72/16.99 (step @p182 :rule eq_resolve :premises (@p180 @p177)) % 16.72/16.99 (step @p183 :rule implies_elim :premises (@p182)) % 16.72/16.99 (step @p184 :rule chain_m_resolution :premises (@p183 @p156) :args (@t162 @t163 (@list @t161))) % 16.72/16.99 (step @p185 :rule and_elim :premises (@p94) :args (1)) % 16.72/16.99 (step @p186 :rule cong :premises (@p185) :args (@t120)) % 16.72/16.99 (step @p187 :rule and_elim :premises (@p94) :args (0)) % 16.72/16.99 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 16.72/16.99 (step @p189 :rule and_elim :premises (@p79) :args (1)) % 16.72/16.99 (step @p190 :rule symm :premises (@p189)) % 16.72/16.99 (step @p191 :rule cong :premises (@p190 @p104) :args (@t95)) % 16.72/16.99 (step @p192 :rule eq_resolve :premises (@p74 @p191)) % 16.72/16.99 (step @p193 :rule cnf_or_pos :args (@t162)) % 16.72/16.99 (step @p194 :rule reordering :premises (@p193) :args ((or @t157 @t159 @t150 (not @t162)))) % 16.72/16.99 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p188 @p184) :args (@t150 (@list false false false) (@list @t156 @t158 @t162))) % 16.72/16.99 (step @p196 :rule cnf_and_pos :args (@t150 1)) % 16.72/17.00 (step @p197 :rule reordering :premises (@p196) :args ((or @t148 (not @t150)))) % 16.72/17.00 (step @p198 :rule chain_m_resolution :premises (@p197 @p195) :args (@t148 @t163 (@list @t150))) % 16.72/17.00 (step @p199 :rule eq-symm :args (@t164 @t100)) % 16.72/17.00 (step @p200 :rule refl :args (@t165)) % 16.72/17.00 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t166)) % 16.72/17.00 (step @p202 :rule refl :args (@t167)) % 16.72/17.00 (step @p203 :rule cong :premises (@p202 @p201) :args (@t168)) % 16.72/17.00 (step @p204 :rule refl :args (@t148)) % 16.72/17.00 (step @p205 :rule cong :premises (@p204 @p203) :args ((=> @t148 @t168))) % 16.72/17.00 (assume-push @p268 @t148) % 16.72/17.00 (step @p207 :rule instantiate :premises (@p198) :args ((@list @t61))) % 16.72/17.00 (step-pop @p269 :rule scope :premises (@p207)) % 16.72/17.00 (step @p208 :rule process_scope :premises (@p269) :args (@t168)) % 16.72/17.00 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 16.72/17.00 (step @p211 :rule implies_elim :premises (@p210)) % 16.72/17.00 (step @p212 :rule chain_m_resolution :premises (@p211 @p198) :args (@t171 @t163 (@list @t148))) % 16.72/17.00 (step @p213 :rule cong :premises (@p185 @p190) :args (@t121)) % 16.72/17.00 (step @p214 :rule refl :args (tptp.xQ)) % 16.72/17.00 (step @p215 :rule symm :premises (@p52)) % 16.72/17.00 (step @p216 :rule cong :premises (@p215 @p214) :args ((= tptp.slcrc0 tptp.xQ))) % 16.72/17.00 (step @p217 :rule eq-symm :args (tptp.xQ tptp.slcrc0)) % 16.72/17.00 (step @p218 :rule bool-double-not-elim :args (@t123)) % 16.72/17.00 (step @p219 :rule trans :premises (@p218 @p217)) % 16.72/17.00 (step @p220 :rule eq_resolve :premises (@p99 @p219)) % 16.72/17.00 (step @p221 :rule eq_resolve :premises (@p220 @p216)) % 16.72/17.00 (step @p222 :rule symm :premises (@p221)) % 16.72/17.00 (step @p223 :rule cong :premises (@p222 @p213) :args (@t122)) % 16.72/17.00 (step @p224 :rule eq_resolve :premises (@p98 @p223)) % 16.72/17.00 (step @p225 :rule cnf_equiv_pos1 :args (@t171)) % 16.72/17.00 (step @p226 :rule reordering :premises (@p225) :args ((or (not @t167) @t170 (not @t171)))) % 16.72/17.00 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p212) :args (@t170 @t172 (@list @t167 @t171))) % 16.72/17.00 (step @p228 :rule cnf_and_pos :args (@t170 1)) % 16.72/17.00 (step @p229 :rule reordering :premises (@p228) :args ((or @t169 (not @t170)))) % 16.72/17.00 (step @p230 :rule chain_m_resolution :premises (@p229 @p227) :args (@t169 @t163 (@list @t170))) % 16.72/17.00 (step @p231 :rule symm :premises (@p230)) % 16.72/17.00 (step @p232 :rule refl :args (@t173)) % 16.72/17.00 (step @p233 :rule refl :args (@t1)) % 16.72/17.00 (step @p234 :rule cong :premises (@p233 @p104) :args (@t45)) % 16.72/17.00 (step @p235 :rule cong :premises (@p234) :args (@t174)) % 16.72/17.00 (step @p236 :rule nary_cong :premises (@p235 @p232) :args (@t175)) % 16.72/17.00 (step @p237 :rule cong :premises (@p236) :args ((forall @t3 @t175))) % 16.72/17.00 (step @p238 :rule bool-impl-elim :args (@t45 @t173)) % 16.72/17.00 (step @p239 :rule cong :premises (@p238) :args ((forall @t3 (=> @t45 @t173)))) % 16.72/17.00 (step @p240 :rule eq-symm :args (@t63 @t1)) % 16.72/17.00 (step @p241 :rule refl :args (@t45)) % 16.72/17.00 (step @p242 :rule cong :premises (@p241 @p240) :args (@t64)) % 16.72/17.00 (step @p243 :rule cong :premises (@p242) :args (@t65)) % 16.72/17.00 (step @p244 :rule trans :premises (@p243 @p239)) % 16.72/17.00 (step @p245 :rule trans :premises (@p244 @p237)) % 16.72/17.00 (step @p246 :rule eq_resolve :premises (@p56 @p245)) % 16.72/17.00 (step @p247 :rule instantiate :premises (@p246) :args ((@list tptp.sz00))) % 16.72/17.00 (step @p248 :rule refl :args (tptp.sz00)) % 16.72/17.00 (step @p249 :rule cong :premises (@p248 @p104) :args (@t43)) % 16.72/17.00 (step @p250 :rule eq_resolve :premises (@p24 @p249)) % 16.72/17.00 (step @p251 :rule cnf_or_pos :args (@t179)) % 16.72/17.00 (step @p252 :rule reordering :premises (@p251) :args ((or @t178 @t176 (not @t179)))) % 16.72/17.00 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p247) :args (@t176 @t172 (@list @t177 @t179))) % 16.72/17.00 (step @p254 :rule trans :premises (@p253 @p231)) % 16.72/17.00 (step @p255 :rule true_intro :premises (@p254)) % 16.72/17.00 (step @p256 :rule cong :premises (@p248 @p190) :args (@t180)) % 16.72/17.00 (step @p257 :rule cong :premises (@p256) :args ((not @t180))) % 16.72/17.00 (step @p258 :rule eq-symm :args (tptp.xK tptp.sz00)) % 16.72/17.00 (step @p259 :rule cong :premises (@p258) :args (@t99)) % 16.72/17.00 (step @p260 :rule trans :premises (@p259 @p257)) % 16.72/17.00 (step @p261 :rule eq_resolve :premises (@p78 @p260)) % 16.72/17.00 (step @p262 :rule false_intro :premises (@p261)) % 16.72/17.00 (step @p263 :rule symm :premises (@p262)) % 16.72/17.00 (step @p264 :rule trans :premises (@p263 @p255)) % 16.72/17.00 (step @p265 false :rule eq_resolve :premises (@p264 @p101)) % 16.72/17.00 ) % 16.72/17.00 % SZS output end Proof % 16.72/17.00 % cvc5 exiting %------------------------------------------------------------------------------