%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM614+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 : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:01 AM UTC 2026 % Result : Theorem 17.01s 17.26s % Output : Proof 17.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM614+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 % 0.17/0.34 % Computer : n004.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 11:36:22 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 17.01/17.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.01/17.26 --- Run --no-e-matching --full-saturate-quant at 6... % 17.01/17.26 % SZS status Theorem % 17.01/17.26 % SZS output start Proof % 17.01/17.26 ( % 17.01/17.26 (declare-sort $$unsorted 0) % 17.01/17.26 (declare-const tptp.xp $$unsorted) % 17.01/17.26 (declare-const tptp.xQ $$unsorted) % 17.01/17.26 (declare-const tptp.xe $$unsorted) % 17.01/17.26 (declare-const tptp.xP $$unsorted) % 17.01/17.26 (declare-const tptp.xC $$unsorted) % 17.01/17.26 (declare-const tptp.xN $$unsorted) % 17.01/17.26 (declare-const tptp.sz00 $$unsorted) % 17.01/17.26 (declare-const tptp.xc $$unsorted) % 17.01/17.26 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 17.01/17.26 (declare-const tptp.szNzAzT0 $$unsorted) % 17.01/17.26 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 17.01/17.26 (declare-const tptp.xd $$unsorted) % 17.01/17.26 (declare-const tptp.xk $$unsorted) % 17.01/17.26 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 17.01/17.26 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 17.01/17.26 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 17.01/17.26 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 17.01/17.26 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 17.01/17.26 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 17.01/17.26 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 17.01/17.26 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.xK $$unsorted) % 17.01/17.26 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.xT $$unsorted) % 17.01/17.26 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.xO $$unsorted) % 17.01/17.26 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.xS $$unsorted) % 17.01/17.26 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.slcrc0 $$unsorted) % 17.01/17.26 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 17.01/17.26 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 17.01/17.26 (define @t1 () (@var "W0" $$unsorted)) % 17.01/17.26 (define @t2 () (tptp.aSet0 @t1)) % 17.01/17.26 (define @t3 () (@list @t1)) % 17.01/17.26 (define @t4 () (tptp.aElement0 @t1)) % 17.01/17.26 (define @t5 () (@var "W1" $$unsorted)) % 17.01/17.26 (define @t6 () (tptp.aElement0 @t5)) % 17.01/17.26 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 17.01/17.26 (define @t8 () (@list @t5)) % 17.01/17.26 (define @t9 () (tptp.isFinite0 @t1)) % 17.01/17.26 (define @t10 () (= @t1 tptp.slcrc0)) % 17.01/17.26 (define @t11 () (tptp.isCountable0 @t1)) % 17.01/17.26 (define @t12 () (not @t9)) % 17.01/17.26 (define @t13 () (and @t2 @t11)) % 17.01/17.26 (define @t14 () (not @t10)) % 17.01/17.26 (define @t15 () (@var "W2" $$unsorted)) % 17.01/17.26 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 17.01/17.26 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 17.01/17.26 (define @t18 () (@list @t15)) % 17.01/17.26 (define @t19 () (tptp.aSet0 @t5)) % 17.01/17.26 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 17.01/17.26 (define @t21 () (tptp.isFinite0 @t5)) % 17.01/17.26 (define @t22 () (and @t2 @t9)) % 17.01/17.26 (define @t23 () (= @t1 @t5)) % 17.01/17.26 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 17.01/17.26 (define @t25 () (@list @t1 @t5)) % 17.01/17.26 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 17.01/17.26 (define @t27 () (tptp.aSet0 @t15)) % 17.01/17.26 (define @t28 () (@list @t1 @t5 @t15)) % 17.01/17.26 (define @t29 () (@var "W3" $$unsorted)) % 17.01/17.26 (define @t30 () (= @t29 @t5)) % 17.01/17.26 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 17.01/17.26 (define @t32 () (tptp.aElement0 @t29)) % 17.01/17.26 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 17.01/17.26 (define @t34 () (@list @t29)) % 17.01/17.26 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 17.01/17.26 (define @t36 () (and @t2 @t6)) % 17.01/17.26 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 17.01/17.26 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 17.01/17.26 (define @t39 () (tptp.isCountable0 @t5)) % 17.01/17.26 (define @t40 () (and @t19 @t39)) % 17.01/17.26 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 17.01/17.26 (define @t42 () (and @t19 @t21)) % 17.01/17.26 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 17.01/17.26 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 17.01/17.26 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 17.01/17.26 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 17.01/17.26 (define @t47 () (and @t44 @t46)) % 17.01/17.26 (define @t48 () (= @t1 tptp.sz00)) % 17.01/17.26 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 17.01/17.26 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 17.01/17.26 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 17.01/17.26 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 17.01/17.26 (define @t53 () (tptp.sbrdtbr0 @t1)) % 17.01/17.26 (define @t54 () (and @t2 @t46)) % 17.01/17.26 (define @t55 () (tptp.szmzizndt0 @t1)) % 17.01/17.26 (define @t56 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 17.01/17.26 (define @t57 () (tptp.szmzizndt0 @t5)) % 17.01/17.26 (define @t58 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 17.01/17.26 (define @t59 () (tptp.slbdtrb0 @t1)) % 17.01/17.26 (define @t60 () (tptp.slbdtrb0 @t5)) % 17.01/17.26 (define @t61 () (tptp.sbrdtbr0 @t29)) % 17.01/17.26 (define @t62 () (tptp.aSubsetOf0 @t29 @t1)) % 17.01/17.26 (define @t63 () (and @t62 (= @t61 @t5))) % 17.01/17.26 (define @t64 () (= @t33 @t63)) % 17.01/17.26 (define @t65 () (forall @t34 @t64)) % 17.01/17.26 (define @t66 () (and @t27 @t65)) % 17.01/17.26 (define @t67 () (tptp.slbdtsldtrb0 @t1 @t5)) % 17.01/17.26 (define @t68 () (= @t15 @t67)) % 17.01/17.26 (define @t69 () (= @t68 @t66)) % 17.01/17.26 (define @t70 () (forall @t18 @t69)) % 17.01/17.26 (define @t71 () (=> @t54 @t70)) % 17.01/17.26 (define @t72 () (forall @t25 @t71)) % 17.01/17.26 (define @t73 () (tptp.slbdtsldtrb0 @t5 @t1)) % 17.01/17.26 (define @t74 () (tptp.aFunction0 @t1)) % 17.01/17.26 (define @t75 () (tptp.szDzozmdt0 @t1)) % 17.01/17.26 (define @t76 () (tptp.sdtlpdtrp0 @t1 @t5)) % 17.01/17.26 (define @t77 () (tptp.aElementOf0 @t5 @t75)) % 17.01/17.26 (define @t78 () (tptp.sdtlpdtrp0 @t1 @t29)) % 17.01/17.26 (define @t79 () (tptp.aElementOf0 @t29 @t75)) % 17.01/17.26 (define @t80 () (tptp.sdtlbdtrb0 @t1 @t5)) % 17.01/17.26 (define @t81 () (and @t74 @t6)) % 17.01/17.26 (define @t82 () (@var "W4" $$unsorted)) % 17.01/17.26 (define @t83 () (@list @t82)) % 17.01/17.26 (define @t84 () (tptp.sdtlcdtrc0 @t1 @t5)) % 17.01/17.26 (define @t85 () (tptp.aSubsetOf0 @t5 @t75)) % 17.01/17.26 (define @t86 () (tptp.sdtlcdtrc0 @t1 @t75)) % 17.01/17.26 (define @t87 () (tptp.szDzozmdt0 @t15)) % 17.01/17.26 (define @t88 () (tptp.aFunction0 @t15)) % 17.01/17.26 (define @t89 () (tptp.szDzizrdt0 @t1)) % 17.01/17.26 (define @t90 () (tptp.szDzozmdt0 tptp.xc)) % 17.01/17.26 (define @t91 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 17.01/17.26 (define @t92 () (@var "W5" $$unsorted)) % 17.01/17.26 (define @t93 () (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 17.01/17.26 (define @t94 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 17.01/17.26 (define @t95 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 17.01/17.26 (define @t96 () (tptp.szmzizndt0 @t95)) % 17.01/17.26 (define @t97 () (tptp.sdtmndt0 @t95 @t96)) % 17.01/17.26 (define @t98 () (and (tptp.aSubsetOf0 @t95 tptp.szNzAzT0) (tptp.isCountable0 @t95))) % 17.01/17.26 (define @t99 () (tptp.szDzozmdt0 tptp.xN)) % 17.01/17.26 (define @t100 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 17.01/17.26 (define @t101 () (tptp.sdtpldt0 @t5 @t96)) % 17.01/17.26 (define @t102 () (tptp.slbdtsldtrb0 @t97 tptp.xk)) % 17.01/17.26 (define @t103 () (and @t19 (tptp.aElementOf0 @t5 @t102))) % 17.01/17.26 (define @t104 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 17.01/17.26 (define @t105 () (tptp.sdtlpdtrp0 @t104 @t5)) % 17.01/17.26 (define @t106 () (tptp.szDzozmdt0 @t104)) % 17.01/17.26 (define @t107 () (tptp.aElementOf0 @t5 tptp.xT)) % 17.01/17.26 (define @t108 () (tptp.slbdtsldtrb0 @t94 tptp.xk)) % 17.01/17.26 (define @t109 () (tptp.szDzozmdt0 tptp.xd)) % 17.01/17.26 (define @t110 () (tptp.szDzizrdt0 tptp.xd)) % 17.01/17.26 (define @t111 () (tptp.sdtlbdtrb0 tptp.xd @t110)) % 17.01/17.26 (define @t112 () (tptp.sdtlcdtrc0 tptp.xe @t111)) % 17.01/17.26 (define @t113 () (tptp.aSet0 tptp.xO)) % 17.01/17.26 (define @t114 () (tptp.szmzizndt0 tptp.xQ)) % 17.01/17.26 (define @t115 () (tptp.sdtmndt0 tptp.xQ @t114)) % 17.01/17.26 (define @t116 () (tptp.aSubsetOf0 tptp.xP tptp.xO)) % 17.01/17.26 (define @t117 () (tptp.sbrdtbr0 tptp.xP)) % 17.01/17.26 (define @t118 () (tptp.slbdtsldtrb0 tptp.xO tptp.xk)) % 17.01/17.26 (define @t119 () (tptp.aElementOf0 tptp.xP @t118)) % 17.01/17.26 (define @t120 () (not @t119)) % 17.01/17.26 (define @t121 () (@var "BOUND_VARIABLE_8812" $$unsorted)) % 17.01/17.26 (define @t122 () (tptp.aElementOf0 @t29 @t121)) % 17.01/17.26 (define @t123 () (and @t62 (= @t5 @t61))) % 17.01/17.26 (define @t124 () (tptp.aSet0 @t121)) % 17.01/17.26 (define @t125 () (= (= @t67 @t121) (and @t124 (forall @t34 (= @t123 @t122))))) % 17.01/17.26 (define @t126 () (not @t46)) % 17.01/17.26 (define @t127 () (not @t2)) % 17.01/17.26 (define @t128 () (or @t127 @t126 @t125)) % 17.01/17.26 (define @t129 () (@list @t1 @t5 @t121)) % 17.01/17.26 (define @t130 () (forall @t34 (= @t122 @t123))) % 17.01/17.26 (define @t131 () (and @t124 @t130)) % 17.01/17.26 (define @t132 () (= (= @t121 @t67) @t131)) % 17.01/17.26 (define @t133 () (or @t127 @t126 @t132)) % 17.01/17.26 (define @t134 () (forall @t129 @t133)) % 17.01/17.26 (define @t135 () (@list @t121)) % 17.01/17.26 (define @t136 () (forall @t135 @t133)) % 17.01/17.26 (define @t137 () (forall @t135 @t132)) % 17.01/17.26 (define @t138 () (or @t127 @t126 @t137)) % 17.01/17.26 (define @t139 () (forall @t18 (= @t68 (and @t27 (forall @t34 (= @t33 @t123)))))) % 17.01/17.26 (define @t140 () (or @t127 @t126 @t139)) % 17.01/17.26 (define @t141 () (tptp.sbrdtbr0 @t115)) % 17.01/17.26 (define @t142 () (tptp.aSubsetOf0 @t29 @t112)) % 17.01/17.26 (define @t143 () (tptp.slbdtsldtrb0 @t112 @t141)) % 17.01/17.26 (define @t144 () (tptp.aElementOf0 @t29 @t143)) % 17.01/17.26 (define @t145 () (forall @t34 (= @t144 (and @t142 (= @t61 @t141))))) % 17.01/17.26 (define @t146 () (tptp.aSet0 @t143)) % 17.01/17.26 (define @t147 () (and @t146 @t145)) % 17.01/17.26 (define @t148 () (and @t142 (= @t141 @t61))) % 17.01/17.26 (define @t149 () (forall @t34 (= @t148 @t144))) % 17.01/17.26 (define @t150 () (and @t146 @t149)) % 17.01/17.26 (define @t151 () (= (= @t143 @t143) @t150)) % 17.01/17.26 (define @t152 () (tptp.aElementOf0 @t141 @t99)) % 17.01/17.26 (define @t153 () (not @t152)) % 17.01/17.26 (define @t154 () (tptp.aSet0 @t112)) % 17.01/17.26 (define @t155 () (not @t154)) % 17.01/17.26 (define @t156 () (or @t155 @t153 @t151)) % 17.01/17.26 (define @t157 () (forall @t129 (or @t127 (not (tptp.aElementOf0 @t5 @t99)) @t125))) % 17.01/17.26 (define @t158 () (or @t155 @t153 @t147)) % 17.01/17.26 (define @t159 () (@list false)) % 17.01/17.26 (define @t160 () (tptp.aElementOf0 @t115 @t143)) % 17.01/17.26 (define @t161 () (tptp.aSubsetOf0 @t115 @t112)) % 17.01/17.26 (define @t162 () (= @t161 @t160)) % 17.01/17.26 (define @t163 () (not @t162)) % 17.01/17.26 (define @t164 () (@list true false)) % 17.01/17.26 (define @t165 () (and @t161 (= @t141 @t141))) % 17.01/17.26 (define @t166 () (= @t160 @t165)) % 17.01/17.26 (assume @p1 (forall @t3 (=> @t2 true))) % 17.01/17.26 (assume @p2 (forall @t3 (=> @t4 true))) % 17.01/17.26 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 17.01/17.26 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 17.01/17.26 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 17.01/17.26 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 17.01/17.26 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 17.01/17.26 (assume @p8 (forall @t3 (=> @t13 @t12))) % 17.01/17.26 (assume @p9 (forall @t3 (=> @t13 @t14))) % 17.01/17.26 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 17.01/17.26 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 17.01/17.26 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 17.01/17.26 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 17.01/17.26 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 17.01/17.26 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 17.01/17.26 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 17.01/17.26 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 17.01/17.26 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 17.01/17.26 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 17.01/17.26 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 17.01/17.26 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 17.01/17.26 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 17.01/17.26 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 17.01/17.26 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 17.01/17.26 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 17.01/17.26 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 17.01/17.26 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 17.01/17.26 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 17.01/17.26 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 17.01/17.26 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 17.01/17.26 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 17.01/17.26 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 17.01/17.26 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 17.01/17.26 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 17.01/17.26 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 17.01/17.26 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 17.01/17.26 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 17.01/17.26 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 17.01/17.26 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 17.01/17.26 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 17.01/17.26 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 17.01/17.26 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 17.01/17.26 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 17.01/17.26 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 17.01/17.26 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t53)))))) % 17.01/17.26 (assume @p46 (forall @t25 (=> @t54 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 17.01/17.26 (assume @p47 (forall @t3 (=> (and @t56 @t14) (forall @t8 (= (= @t5 @t55) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 17.01/17.26 (assume @p48 (forall @t3 (=> (and @t56 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 17.01/17.26 (assume @p49 (forall @t25 (=> (and @t56 @t58 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t55 @t5) (tptp.aElementOf0 @t57 @t1)) (= @t55 @t57))))) % 17.01/17.26 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t59) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 17.01/17.26 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t59)))) % 17.01/17.26 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 17.01/17.26 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t60) @t23))))) % 17.01/17.26 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t59 @t60))))) % 17.01/17.26 (assume @p55 (forall @t3 (=> (and @t56 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t60)))))) % 17.01/17.26 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t59) @t1)))) % 17.01/17.26 (assume @p57 @t72) % 17.01/17.26 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t67)))))) % 17.01/17.26 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t67 tptp.slcrc0))))))) % 17.01/17.26 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t67)))))) % 17.01/17.26 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t73 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t73 tptp.slcrc0))) @t26)))))) % 17.01/17.26 (assume @p62 (forall @t25 (=> @t54 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t67) (tptp.isFinite0 @t15)) (exists @t34 (and @t62 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 17.01/17.26 (assume @p63 (forall @t3 (=> @t74 true))) % 17.01/17.26 (assume @p64 (forall @t3 (=> @t74 (tptp.aSet0 @t75)))) % 17.01/17.26 (assume @p65 (forall @t3 (=> @t74 (forall @t8 (=> @t77 (tptp.aElement0 @t76)))))) % 17.01/17.26 (assume @p66 (forall @t25 (=> @t81 (forall @t18 (= (= @t15 @t80) (and @t27 (forall @t34 (= @t33 (and @t79 (= @t78 @t5)))))))))) % 17.01/17.26 (assume @p67 (forall @t25 (=> @t81 (tptp.aSubsetOf0 @t80 @t75)))) % 17.01/17.26 (assume @p68 (forall @t3 (=> @t74 (forall @t8 (=> @t85 (forall @t18 (= (= @t15 @t84) (and @t27 (forall @t34 (= @t33 (exists @t83 (and (tptp.aElementOf0 @t82 @t5) (= (tptp.sdtlpdtrp0 @t1 @t82) @t29))))))))))))) % 17.01/17.26 (assume @p69 (forall @t3 (=> @t74 (forall @t8 (=> @t77 (tptp.aElementOf0 @t76 @t86)))))) % 17.01/17.26 (assume @p70 (forall @t3 (=> @t74 (forall @t8 (=> @t85 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t88 (= @t87 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t78))))))))))) % 17.01/17.26 (assume @p71 (forall @t3 (=> @t74 (forall @t8 (=> (and @t85 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t75) @t79 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t78)))) (tptp.isCountable0 @t84))))))) % 17.01/17.26 (assume @p72 (forall @t3 (=> @t74 (=> (and (tptp.isCountable0 @t75) (tptp.isFinite0 @t86)) (and (tptp.aElement0 @t89) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t89))))))) % 17.01/17.26 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 17.01/17.26 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 17.01/17.26 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 17.01/17.26 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t90 @t91) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t90) tptp.xT))) % 17.01/17.26 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and @t58 @t39) (forall @t18 (=> (and @t88 (= @t87 @t73) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t87) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and (tptp.aElementOf0 @t29 tptp.xT) (exists @t83 (and (tptp.aSubsetOf0 @t82 @t5) (tptp.isCountable0 @t82) (forall (@list @t92) (=> (tptp.aElementOf0 @t92 (tptp.slbdtsldtrb0 @t82 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t92) @t29))))))))))))))) % 17.01/17.26 (assume @p78 (not (= tptp.xK tptp.sz00))) % 17.01/17.26 (assume @p79 (and @t93 (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 17.01/17.26 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t99 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> @t98 (and (tptp.aSubsetOf0 @t94 @t97) (tptp.isCountable0 @t94))))))) % 17.01/17.26 (assume @p81 (forall @t3 (=> @t44 @t98))) % 17.01/17.26 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (tptp.aSubsetOf0 @t95 @t100))))) % 17.01/17.26 (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (= @t96 (tptp.szmzizndt0 @t100)))))) % 17.01/17.26 (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t103 (tptp.aElementOf0 @t101 @t91)))))) % 17.01/17.26 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aFunction0 @t104) (= @t106 @t102) (forall @t8 (=> @t103 (= @t105 (tptp.sdtlpdtrp0 tptp.xc @t101))))))))) % 17.01/17.26 (assume @p86 (forall @t3 (=> @t44 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t104 @t106) tptp.xT)))) % 17.01/17.26 (assume @p87 (forall @t3 (=> @t44 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t97) @t39) (forall @t18 (=> (and @t27 (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t15 @t102)))))))) % 17.01/17.26 (assume @p88 (forall @t3 (=> @t44 (exists @t8 (and @t107 (exists @t18 (and (tptp.aSubsetOf0 @t15 @t97) (tptp.isCountable0 @t15) (forall @t34 (=> (and (tptp.aSet0 @t29) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk))) (= (tptp.sdtlpdtrp0 @t104 @t29) @t5)))))))))) % 17.01/17.26 (assume @p89 (forall @t3 (=> @t44 (exists @t8 (and @t107 (forall @t18 (=> (and @t27 (tptp.aElementOf0 @t15 @t108)) (= (tptp.sdtlpdtrp0 @t104 @t15) @t5)))))))) % 17.01/17.26 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t44 (= (tptp.sdtlpdtrp0 tptp.xe @t1) @t96))))) % 17.01/17.26 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t109 tptp.szNzAzT0) (forall @t3 (=> @t44 (forall @t8 (=> (and @t19 (tptp.aElementOf0 @t5 @t108)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t105))))))) % 17.01/17.26 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t109) tptp.xT)) % 17.01/17.26 (assume @p93 (and (tptp.aElementOf0 @t110 tptp.xT) (tptp.isCountable0 @t111))) % 17.01/17.26 (assume @p94 (and @t113 (= tptp.xO @t112))) % 17.01/17.26 (assume @p95 (and @t113 (tptp.isCountable0 tptp.xO))) % 17.01/17.26 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t46 (tptp.aElementOf0 @t5 @t111) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 17.01/17.26 (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 17.01/17.26 (assume @p98 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK))) % 17.01/17.26 (assume @p99 (and (tptp.aSubsetOf0 tptp.xQ tptp.xO) (not (= tptp.xQ tptp.slcrc0)))) % 17.01/17.26 (assume @p100 (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 17.01/17.26 (assume @p101 (tptp.aElementOf0 tptp.xQ @t90)) % 17.01/17.26 (assume @p102 (= tptp.xp @t114)) % 17.01/17.26 (assume @p103 (and (tptp.aSet0 tptp.xP) (= tptp.xP @t115))) % 17.01/17.26 (assume @p104 (tptp.aElementOf0 tptp.xp tptp.xQ)) % 17.01/17.26 (assume @p105 (tptp.aElementOf0 tptp.xp tptp.xO)) % 17.01/17.26 (assume @p106 (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 17.01/17.26 (assume @p107 @t116) % 17.01/17.26 (assume @p108 (= @t117 tptp.xk)) % 17.01/17.26 (assume @p109 @t120) % 17.01/17.26 (assume @p110 true) % 17.01/17.26 (step @p111 :rule refl :args (@t125)) % 17.01/17.26 (step @p112 :rule and_elim :premises (@p80) :args (1)) % 17.01/17.26 (step @p113 :rule symm :premises (@p112)) % 17.01/17.26 (step @p114 :rule refl :args (@t5)) % 17.01/17.26 (step @p115 :rule cong :premises (@p114 @p113) :args (@t46)) % 17.01/17.26 (step @p116 :rule cong :premises (@p115) :args (@t126)) % 17.01/17.26 (step @p117 :rule refl :args (@t127)) % 17.01/17.26 (step @p118 :rule nary_cong :premises (@p117 @p116 @p111) :args (@t128)) % 17.01/17.26 (step @p119 :rule cong :premises (@p118) :args ((forall @t129 @t128))) % 17.01/17.26 (step @p120 :rule eq-symm :args (@t122 @t123)) % 17.01/17.26 (step @p121 :rule cong :premises (@p120) :args (@t130)) % 17.01/17.26 (step @p122 :rule refl :args (@t124)) % 17.01/17.26 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t131)) % 17.01/17.26 (step @p124 :rule eq-symm :args (@t121 @t67)) % 17.01/17.26 (step @p125 :rule cong :premises (@p124 @p123) :args (@t132)) % 17.01/17.26 (step @p126 :rule refl :args (@t126)) % 17.01/17.26 (step @p127 :rule nary_cong :premises (@p117 @p126 @p125) :args (@t133)) % 17.01/17.26 (step @p128 :rule cong :premises (@p127) :args (@t134)) % 17.01/17.26 (step @p129 :rule quant-merge-prenex :args ((= (forall @t25 @t136) @t134))) % 17.01/17.26 (step @p130 :rule alpha_equiv :args (@t137 (@list @t121) (@list @t15))) % 17.01/17.26 (step @p131 :rule refl :args (@t126)) % 17.01/17.26 (step @p132 :rule refl :args (@t127)) % 17.01/17.26 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args (@t138)) % 17.01/17.26 (step @p134 :rule quant-miniscope-or :args ((= @t136 @t138))) % 17.01/17.26 (step @p135 :rule trans :premises (@p134 @p133)) % 17.01/17.26 (step @p136 :rule symm :premises (@p135)) % 17.01/17.26 (step @p137 :rule cong :premises (@p136) :args ((forall @t25 @t140))) % 17.01/17.26 (step @p138 :rule trans :premises (@p137 @p129)) % 17.01/17.26 (step @p139 :rule trans :premises (@p138 @p128)) % 17.01/17.26 (step @p140 :rule aci_norm :args ((= (or (or @t127 @t126) @t139) @t140))) % 17.01/17.26 (step @p141 :rule refl :args (@t139)) % 17.01/17.26 (step @p142 :rule bool-and-de-morgan :args (@t2 @t46 true)) % 17.01/17.26 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or (not @t54) @t139))) % 17.01/17.26 (step @p144 :rule trans :premises (@p143 @p140)) % 17.01/17.26 (step @p145 :rule bool-impl-elim :args (@t54 @t139)) % 17.01/17.26 (step @p146 :rule trans :premises (@p145 @p144)) % 17.01/17.26 (step @p147 :rule cong :premises (@p146) :args ((forall @t25 (=> @t54 @t139)))) % 17.01/17.26 (step @p148 :rule trans :premises (@p147 @p139)) % 17.01/17.26 (step @p149 :rule eq-symm :args (@t61 @t5)) % 17.01/17.26 (step @p150 :rule refl :args (@t62)) % 17.01/17.26 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t63)) % 17.01/17.26 (step @p152 :rule refl :args (@t33)) % 17.01/17.26 (step @p153 :rule cong :premises (@p152 @p151) :args (@t64)) % 17.01/17.26 (step @p154 :rule cong :premises (@p153) :args (@t65)) % 17.01/17.26 (step @p155 :rule refl :args (@t27)) % 17.01/17.26 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t66)) % 17.01/17.26 (step @p157 :rule refl :args (@t68)) % 17.01/17.26 (step @p158 :rule cong :premises (@p157 @p156) :args (@t69)) % 17.01/17.26 (step @p159 :rule cong :premises (@p158) :args (@t70)) % 17.01/17.26 (step @p160 :rule refl :args (@t54)) % 17.01/17.26 (step @p161 :rule cong :premises (@p160 @p159) :args (@t71)) % 17.01/17.26 (step @p162 :rule cong :premises (@p161) :args (@t72)) % 17.01/17.26 (step @p163 :rule trans :premises (@p162 @p148)) % 17.01/17.26 (step @p164 :rule trans :premises (@p163 @p119)) % 17.01/17.26 (step @p165 :rule eq_resolve :premises (@p57 @p164)) % 17.01/17.26 (step @p166 :rule bool-eq-true :args (@t147)) % 17.01/17.26 (step @p167 :rule eq-symm :args (true @t147)) % 17.01/17.26 (step @p168 :rule trans :premises (@p167 @p166)) % 17.01/17.26 (step @p169 :rule eq-symm :args (@t141 @t61)) % 17.01/17.26 (step @p170 :rule refl :args (@t142)) % 17.01/17.26 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t148)) % 17.01/17.26 (step @p172 :rule refl :args (@t144)) % 17.01/17.26 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t144 @t148))) % 17.01/17.26 (step @p174 :rule eq-symm :args (@t148 @t144)) % 17.01/17.26 (step @p175 :rule trans :premises (@p174 @p173)) % 17.01/17.26 (step @p176 :rule cong :premises (@p175) :args (@t149)) % 17.01/17.26 (step @p177 :rule refl :args (@t146)) % 17.01/17.26 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t150)) % 17.01/17.26 (step @p179 :rule eq-refl :args (@t143)) % 17.01/17.26 (step @p180 :rule cong :premises (@p179 @p178) :args (@t151)) % 17.01/17.26 (step @p181 :rule trans :premises (@p180 @p168)) % 17.01/17.26 (step @p182 :rule refl :args (@t153)) % 17.01/17.26 (step @p183 :rule refl :args (@t155)) % 17.01/17.26 (step @p184 :rule nary_cong :premises (@p183 @p182 @p181) :args (@t156)) % 17.01/17.26 (step @p185 :rule refl :args (@t157)) % 17.01/17.26 (step @p186 :rule cong :premises (@p185 @p184) :args ((=> @t157 @t156))) % 17.01/17.26 (assume-push @p240 @t157) % 17.01/17.26 (step @p188 :rule instantiate :premises (@p165) :args ((@list @t112 @t141 @t143))) % 17.01/17.26 (step-pop @p241 :rule scope :premises (@p188)) % 17.01/17.26 (step @p189 :rule process_scope :premises (@p241) :args (@t156)) % 17.01/17.26 (step @p191 :rule eq_resolve :premises (@p189 @p186)) % 17.01/17.26 (step @p192 :rule implies_elim :premises (@p191)) % 17.01/17.26 (step @p193 :rule chain_m_resolution :premises (@p192 @p165) :args (@t158 @t159 (@list @t157))) % 17.01/17.26 (step @p194 :rule and_elim :premises (@p94) :args (1)) % 17.01/17.26 (step @p195 :rule cong :premises (@p194) :args (@t113)) % 17.01/17.26 (step @p196 :rule and_elim :premises (@p94) :args (0)) % 17.01/17.26 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 17.01/17.26 (step @p198 :rule and_elim :premises (@p103) :args (1)) % 17.01/17.26 (step @p199 :rule cong :premises (@p198) :args (@t117)) % 17.01/17.26 (step @p200 :rule refl :args (tptp.xk)) % 17.01/17.26 (step @p201 :rule cong :premises (@p200 @p199) :args ((= tptp.xk @t117))) % 17.01/17.26 (step @p202 :rule symm :premises (@p108)) % 17.01/17.26 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 17.01/17.26 (step @p204 :rule cong :premises (@p203 @p113) :args (@t93)) % 17.01/17.27 (step @p205 :rule and_elim :premises (@p79) :args (0)) % 17.01/17.27 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 17.01/17.27 (step @p207 :rule cnf_or_pos :args (@t158)) % 17.01/17.27 (step @p208 :rule reordering :premises (@p207) :args ((or @t153 @t155 @t147 (not @t158)))) % 17.01/17.27 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p197 @p193) :args (@t147 (@list false false false) (@list @t152 @t154 @t158))) % 17.01/17.27 (step @p210 :rule cnf_and_pos :args (@t147 1)) % 17.01/17.27 (step @p211 :rule reordering :premises (@p210) :args ((or @t145 (not @t147)))) % 17.01/17.27 (step @p212 :rule chain_m_resolution :premises (@p211 @p209) :args (@t145 @t159 (@list @t147))) % 17.01/17.27 (step @p213 :rule cong :premises (@p198 @p194) :args (@t116)) % 17.01/17.27 (step @p214 :rule eq_resolve :premises (@p107 @p213)) % 17.01/17.27 (step @p215 :rule cong :premises (@p194 @p203) :args (@t118)) % 17.01/17.27 (step @p216 :rule cong :premises (@p198 @p215) :args (@t119)) % 17.01/17.27 (step @p217 :rule cong :premises (@p216) :args (@t120)) % 17.01/17.27 (step @p218 :rule eq_resolve :premises (@p109 @p217)) % 17.01/17.27 (step @p219 :rule cnf_equiv_pos1 :args (@t162)) % 17.01/17.27 (step @p220 :rule reordering :premises (@p219) :args ((or @t160 (not @t161) @t163))) % 17.01/17.27 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p214) :args (@t163 @t164 (@list @t160 @t161))) % 17.01/17.27 (step @p222 :rule eq-symm :args (@t160 @t161)) % 17.01/17.27 (step @p223 :rule aci_norm :args ((= (and @t161 true) @t161))) % 17.01/17.27 (step @p224 :rule eq-refl :args (@t141)) % 17.01/17.27 (step @p225 :rule refl :args (@t161)) % 17.01/17.27 (step @p226 :rule nary_cong :premises (@p225 @p224) :args (@t165)) % 17.01/17.27 (step @p227 :rule trans :premises (@p226 @p223)) % 17.01/17.27 (step @p228 :rule refl :args (@t160)) % 17.01/17.27 (step @p229 :rule cong :premises (@p228 @p227) :args (@t166)) % 17.01/17.27 (step @p230 :rule trans :premises (@p229 @p222)) % 17.01/17.27 (step @p231 :rule refl :args (@t145)) % 17.01/17.27 (step @p232 :rule cong :premises (@p231 @p230) :args ((=> @t145 @t166))) % 17.01/17.27 (assume-push @p242 @t145) % 17.01/17.27 (step @p234 :rule instantiate :premises (@p212) :args ((@list @t115))) % 17.01/17.27 (step-pop @p243 :rule scope :premises (@p234)) % 17.01/17.27 (step @p235 :rule process_scope :premises (@p243) :args (@t166)) % 17.01/17.27 (step @p237 :rule eq_resolve :premises (@p235 @p232)) % 17.01/17.27 (step @p238 :rule implies_elim :premises (@p237)) % 17.01/17.27 (step @p239 false :rule chain_m_resolution :premises (@p238 @p221 @p212) :args (false @t164 (@list @t162 @t145))) % 17.01/17.27 ) % 17.01/17.27 % SZS output end Proof % 17.01/17.27 % cvc5 exiting %------------------------------------------------------------------------------