%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP163^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:25:14 AM UTC 2026 % Result : Theorem 0.85s 1.04s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP163^1 : TPTP v9.2.1. Released v7.5.0. % 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 : n029.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 04:17:17 EDT 2026 % 0.16/0.34 % CPUTime : % 0.40/0.57 %----Proving TH0 % 0.85/1.04 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.85/1.04 % SZS status Theorem % 0.85/1.04 % SZS output start Proof % 0.85/1.04 ( % 0.85/1.04 (declare-sort tptp.set_a 0) % 0.85/1.04 (declare-sort tptp.refine424419629nres_a 0) % 0.85/1.04 (declare-sort tptp.produc1609974940nres_a 0) % 0.85/1.04 (declare-sort tptp.set_Pr384614482nres_a 0) % 0.85/1.04 (declare-sort tptp.a 0) % 0.85/1.04 (declare-sort tptp.set_set_a 0) % 0.85/1.04 (declare-const tptp.refine1198353288_RES_a (-> tptp.set_a tptp.refine424419629nres_a)) % 0.85/1.04 (declare-const tptp.refine1001002027nres_a (-> tptp.refine424419629nres_a tptp.a Bool)) % 0.85/1.04 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.85/1.04 (declare-const tptp.produc1136923598nres_a (-> tptp.refine424419629nres_a tptp.refine424419629nres_a tptp.produc1609974940nres_a)) % 0.85/1.04 (declare-const tptp.member1468928819nres_a (-> tptp.produc1609974940nres_a tptp.set_Pr384614482nres_a Bool)) % 0.85/1.04 (declare-const tptp.member_set_a (-> tptp.set_a tptp.set_set_a Bool)) % 0.85/1.04 (declare-const tptp.x tptp.a) % 0.85/1.04 (declare-const tptp.phi (-> tptp.a Bool)) % 0.85/1.04 (declare-const tptp.order_Greatest_set_a (-> (-> tptp.set_a Bool) tptp.set_a)) % 0.85/1.04 (declare-const tptp.order_1714329108nres_a (-> (-> tptp.refine424419629nres_a Bool) tptp.refine424419629nres_a)) % 0.85/1.04 (declare-const tptp.refine464223677AILi_a tptp.refine424419629nres_a) % 0.85/1.04 (declare-const tptp.refine1822134885_RES_a (-> tptp.refine424419629nres_a tptp.set_a)) % 0.85/1.04 (declare-const tptp.if_Ref1724547303nres_a (-> Bool tptp.refine424419629nres_a tptp.refine424419629nres_a tptp.refine424419629nres_a)) % 0.85/1.04 (declare-const tptp.refine2063221604TURN_a (-> tptp.a tptp.refine424419629nres_a)) % 0.85/1.04 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.85/1.04 (declare-const tptp.if_set_a (-> Bool tptp.set_a tptp.set_a tptp.set_a)) % 0.85/1.04 (declare-const tptp.refine260105272_rel_a (-> tptp.produc1609974940nres_a tptp.produc1609974940nres_a Bool)) % 0.85/1.04 (declare-const tptp.accp_P624619091nres_a (-> (-> tptp.produc1609974940nres_a tptp.produc1609974940nres_a Bool) tptp.produc1609974940nres_a Bool)) % 0.85/1.04 (declare-const tptp.refine1048213316_rel_a (-> tptp.produc1609974940nres_a tptp.produc1609974940nres_a Bool)) % 0.85/1.04 (define tptp.refine412683989fail_a () (let ((_let_1 (@var "M2" tptp.set_a))) (let ((_let_2 (@var "M" tptp.refine424419629nres_a))) (lambda (@list _let_2) (exists (@list _let_1) (= _let_2 (_ tptp.refine1198353288_RES_a _let_1))))))) % 0.85/1.04 (define tptp.refine1312857699nres_a () (let ((_let_1 (@var "X4" tptp.a))) (let ((_let_2 (@var "M" tptp.refine424419629nres_a))) (lambda (@list _let_2 _let_1) (and (_ tptp.refine412683989fail_a _let_2) (_ (_ tptp.refine1001002027nres_a _let_2) _let_1)))))) % 0.85/1.04 (define tptp.ord_le519537037nres_a () (let ((_let_1 (@var "X4" tptp.a))) (let ((_let_2 (@var "S4" tptp.refine424419629nres_a))) (let ((_let_3 (@var "S3" tptp.refine424419629nres_a))) (lambda (@list _let_3 _let_2) (=> (_ tptp.refine412683989fail_a _let_2) (and (_ tptp.refine412683989fail_a _let_3) (forall (@list _let_1) (=> (_ (_ tptp.refine1001002027nres_a _let_3) _let_1) (_ (_ tptp.refine1001002027nres_a _let_2) _let_1)))))))))) % 0.85/1.04 (define tptp.ord_le1480771457nres_a () (let ((_let_1 (@var "B4" tptp.refine424419629nres_a))) (let ((_let_2 (@var "A5" tptp.refine424419629nres_a))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_le519537037nres_a _let_1) _let_2) (not (= _let_2 _let_1))))))) % 0.85/1.04 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B6" tptp.set_a))) (let ((_let_2 (@var "X4" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A6" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.85/1.04 (define tptp.ord_less_set_a () (let ((_let_1 (@var "B4" tptp.set_a))) (let ((_let_2 (@var "A5" tptp.set_a))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_less_eq_set_a _let_1) _let_2) (not (= _let_2 _let_1))))))) % 0.85/1.04 (define tptp.bNF_Ca459084161nres_a () (let ((_let_1 (@var "J" tptp.refine424419629nres_a))) (let ((_let_2 (@var "As" (-> tptp.refine424419629nres_a tptp.refine424419629nres_a)))) (let ((_let_3 (@var "I" tptp.refine424419629nres_a))) (let ((_let_4 (@var "R" tptp.set_Pr384614482nres_a))) (lambda (@list _let_4 _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.member1468928819nres_a (_ (_ tptp.produc1136923598nres_a _let_3) _let_1)) _let_4) (_ (_ tptp.ord_le519537037nres_a (_ _let_2 _let_3)) (_ _let_2 _let_1)))))))))) % 0.85/1.04 (define tptp.bNF_Ca953716171_set_a () (let ((_let_1 (@var "J" tptp.refine424419629nres_a))) (let ((_let_2 (@var "As" (-> tptp.refine424419629nres_a tptp.set_a)))) (let ((_let_3 (@var "I" tptp.refine424419629nres_a))) (let ((_let_4 (@var "R" tptp.set_Pr384614482nres_a))) (lambda (@list _let_4 _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.member1468928819nres_a (_ (_ tptp.produc1136923598nres_a _let_3) _let_1)) _let_4) (_ (_ tptp.ord_less_eq_set_a (_ _let_2 _let_3)) (_ _let_2 _let_1)))))))))) % 0.85/1.04 (define tptp.chain_subset_a () (let ((_let_1 (@var "X4" tptp.set_a))) (let ((_let_2 (@var "Y6" tptp.set_a))) (let ((_let_3 (@var "C3" tptp.set_set_a))) (lambda (@list _let_3) (forall (@list _let_1) (=> (_ (_ tptp.member_set_a _let_1) _let_3) (forall (@list _let_2) (=> (_ (_ tptp.member_set_a _let_2) _let_3) (or (_ (_ tptp.ord_less_eq_set_a _let_1) _let_2) (_ (_ tptp.ord_less_eq_set_a _let_2) _let_1))))))))))) % 0.85/1.04 (define @t1 () (@var "Y" tptp.set_a)) % 0.85/1.04 (define @t2 () (@var "X" tptp.set_a)) % 0.85/1.04 (define @t3 () (_ tptp.refine1198353288_RES_a @t1)) % 0.85/1.04 (define @t4 () (_ tptp.refine1198353288_RES_a @t2)) % 0.85/1.04 (define @t5 () (@list @t2 @t1)) % 0.85/1.04 (define @t6 () (@var "Y2" tptp.set_a)) % 0.85/1.04 (define @t7 () (@var "X2" tptp.set_a)) % 0.85/1.04 (define @t8 () (_ tptp.refine1198353288_RES_a @t7)) % 0.85/1.04 (define @t9 () (@var "X3" tptp.a)) % 0.85/1.04 (define @t10 () (_ tptp.member_a @t9)) % 0.85/1.04 (define @t11 () (_ @t10 @t2)) % 0.85/1.04 (define @t12 () (= (_ (_ tptp.refine1312857699nres_a @t4) @t9) @t11)) % 0.85/1.04 (define @t13 () (@list @t2 @t9)) % 0.85/1.04 (define @t14 () (forall @t13 @t12)) % 0.85/1.04 (define @t15 () (@list @t2)) % 0.85/1.04 (define @t16 () (@var "X4" tptp.a)) % 0.85/1.04 (define @t17 () (_ tptp.member_a @t16)) % 0.85/1.04 (define @t18 () (@list @t16)) % 0.85/1.04 (define @t19 () (_ tptp.refine1001002027nres_a @t4)) % 0.85/1.04 (define @t20 () (@var "Nres" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t21 () (@var "P" (-> tptp.refine424419629nres_a Bool))) % 0.85/1.04 (define @t22 () (@var "X5" tptp.set_a)) % 0.85/1.04 (define @t23 () (@list @t22)) % 0.85/1.04 (define @t24 () (@var "X22" tptp.set_a)) % 0.85/1.04 (define @t25 () (@var "Y3" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t26 () (@var "A1" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t27 () (@var "A0" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t28 () (@var "P" (-> tptp.refine424419629nres_a tptp.refine424419629nres_a Bool))) % 0.85/1.04 (define @t29 () (_ (_ @t28 @t27) @t26)) % 0.85/1.04 (define @t30 () (@var "B" tptp.set_a)) % 0.85/1.04 (define @t31 () (_ tptp.refine1198353288_RES_a @t30)) % 0.85/1.04 (define @t32 () (@var "A" tptp.set_a)) % 0.85/1.04 (define @t33 () (_ tptp.refine1198353288_RES_a @t32)) % 0.85/1.04 (define @t34 () (@list @t32 @t30)) % 0.85/1.04 (define @t35 () (forall @t34 (_ (_ @t28 @t33) @t31))) % 0.85/1.04 (define @t36 () (=> @t35 @t29)) % 0.85/1.04 (define @t37 () (@var "V" tptp.set_a)) % 0.85/1.04 (define @t38 () (_ tptp.refine1198353288_RES_a @t37)) % 0.85/1.04 (define @t39 () (_ @t28 tptp.refine464223677AILi_a)) % 0.85/1.04 (define @t40 () (@list @t37)) % 0.85/1.04 (define @t41 () (@var "Uu" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t42 () (@list @t41)) % 0.85/1.04 (define @t43 () (forall @t42 (_ (_ @t28 @t41) tptp.refine464223677AILi_a))) % 0.85/1.04 (define @t44 () (@list @t28 @t27 @t26)) % 0.85/1.04 (define @t45 () (@var "Uv" tptp.set_a)) % 0.85/1.04 (define @t46 () (_ tptp.refine1198353288_RES_a @t45)) % 0.85/1.04 (define @t47 () (@list @t45)) % 0.85/1.04 (define @t48 () (@var "X_1" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t49 () (@var "M3" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t50 () (@var "S2" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t51 () (@var "S" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t52 () (@var "X5" tptp.a)) % 0.85/1.04 (define @t53 () (_ tptp.refine1001002027nres_a @t50)) % 0.85/1.04 (define @t54 () (_ @t53 @t52)) % 0.85/1.04 (define @t55 () (_ tptp.refine1001002027nres_a @t51)) % 0.85/1.04 (define @t56 () (_ @t55 @t52)) % 0.85/1.04 (define @t57 () (@list @t52)) % 0.85/1.04 (define @t58 () (_ tptp.refine412683989fail_a @t50)) % 0.85/1.04 (define @t59 () (_ tptp.refine412683989fail_a @t51)) % 0.85/1.04 (define @t60 () (@list @t51 @t50)) % 0.85/1.04 (define @t61 () (@var "S4" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t62 () (_ (_ tptp.refine1001002027nres_a @t61) @t16)) % 0.85/1.04 (define @t63 () (@var "S3" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t64 () (_ (_ tptp.refine1001002027nres_a @t63) @t16)) % 0.85/1.04 (define @t65 () (_ tptp.refine412683989fail_a @t61)) % 0.85/1.04 (define @t66 () (_ tptp.refine412683989fail_a @t63)) % 0.85/1.04 (define @t67 () (@list @t63 @t61)) % 0.85/1.04 (define @t68 () (@var "Z" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t69 () (@var "Y4" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t70 () (lambda (@list @t69 @t68) (= @t69 @t68))) % 0.85/1.04 (define @t71 () (_ @t55 @t9)) % 0.85/1.04 (define @t72 () (@var "Z" tptp.a)) % 0.85/1.04 (define @t73 () (@var "Y4" tptp.a)) % 0.85/1.04 (define @t74 () (_ tptp.refine2063221604TURN_a @t9)) % 0.85/1.04 (define @t75 () (@list @t9)) % 0.85/1.04 (define @t76 () (_ (_ tptp.ord_le519537037nres_a @t51) @t50)) % 0.85/1.04 (define @t77 () (=> @t56 @t54)) % 0.85/1.04 (define @t78 () (@list @t50 @t51)) % 0.85/1.04 (define @t79 () (=> @t58 @t59)) % 0.85/1.04 (define @t80 () (@var "Uv2" tptp.set_a)) % 0.85/1.04 (define @t81 () (_ tptp.refine1198353288_RES_a @t80)) % 0.85/1.04 (define @t82 () (@list @t80)) % 0.85/1.04 (define @t83 () (_ tptp.produc1136923598nres_a tptp.refine464223677AILi_a)) % 0.85/1.04 (define @t84 () (_ @t83 @t46)) % 0.85/1.04 (define @t85 () (@var "X3" tptp.produc1609974940nres_a)) % 0.85/1.04 (define @t86 () (_ (_ tptp.produc1136923598nres_a @t33) @t31)) % 0.85/1.04 (define @t87 () (forall @t34 (not (= @t85 @t86)))) % 0.85/1.04 (define @t88 () (forall @t42 (not (= @t85 (_ (_ tptp.produc1136923598nres_a @t41) tptp.refine464223677AILi_a))))) % 0.85/1.04 (define @t89 () (@list @t85)) % 0.85/1.04 (define @t90 () (not @t87)) % 0.85/1.04 (define @t91 () (_ (_ tptp.produc1136923598nres_a @t46) tptp.refine464223677AILi_a)) % 0.85/1.04 (define @t92 () (@var "Y3" tptp.a)) % 0.85/1.04 (define @t93 () (= @t9 @t92)) % 0.85/1.04 (define @t94 () (_ tptp.refine2063221604TURN_a @t92)) % 0.85/1.04 (define @t95 () (@list @t9 @t92)) % 0.85/1.04 (define @t96 () (_ tptp.ord_le519537037nres_a @t74)) % 0.85/1.04 (define @t97 () (@var "Uu2" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t98 () (@list @t97)) % 0.85/1.04 (define @t99 () (@var "M4" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t100 () (@var "M5" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t101 () (_ (_ tptp.ord_le519537037nres_a @t100) @t99)) % 0.85/1.04 (define @t102 () (@var "B3" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t103 () (@var "B2" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t104 () (= @t103 @t102)) % 0.85/1.04 (define @t105 () (@var "A3" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t106 () (@var "A2" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t107 () (= @t106 @t105)) % 0.85/1.04 (define @t108 () (_ (_ tptp.produc1136923598nres_a @t106) @t103)) % 0.85/1.04 (define @t109 () (= @t108 (_ (_ tptp.produc1136923598nres_a @t105) @t102))) % 0.85/1.04 (define @t110 () (@list @t106 @t103 @t105 @t102)) % 0.85/1.04 (define @t111 () (@var "Y2" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t112 () (@var "X2" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t113 () (@var "Y1" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t114 () (@var "X1" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t115 () (@var "X3" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t116 () (_ tptp.ord_le519537037nres_a @t115)) % 0.85/1.04 (define @t117 () (@list @t115)) % 0.85/1.04 (define @t118 () (@var "X3" tptp.set_a)) % 0.85/1.04 (define @t119 () (_ tptp.ord_less_eq_set_a @t118)) % 0.85/1.04 (define @t120 () (@list @t118)) % 0.85/1.04 (define @t121 () (@var "A2" tptp.a)) % 0.85/1.04 (define @t122 () (@var "P" (-> tptp.a Bool))) % 0.85/1.04 (define @t123 () (_ @t122 @t121)) % 0.85/1.04 (define @t124 () (_ tptp.collect_a @t122)) % 0.85/1.04 (define @t125 () (_ tptp.member_a @t121)) % 0.85/1.04 (define @t126 () (_ @t125 @t124)) % 0.85/1.04 (define @t127 () (= @t126 @t123)) % 0.85/1.04 (define @t128 () (@list @t121 @t122)) % 0.85/1.04 (define @t129 () (forall @t128 @t127)) % 0.85/1.04 (define @t130 () (@var "A4" tptp.set_a)) % 0.85/1.04 (define @t131 () (@list @t130)) % 0.85/1.04 (define @t132 () (@var "Q" (-> tptp.a Bool))) % 0.85/1.04 (define @t133 () (_ tptp.collect_a @t132)) % 0.85/1.04 (define @t134 () (_ @t132 @t52)) % 0.85/1.04 (define @t135 () (_ @t122 @t52)) % 0.85/1.04 (define @t136 () (@list @t122 @t132)) % 0.85/1.04 (define @t137 () (_ tptp.ord_le1480771457nres_a @t106)) % 0.85/1.04 (define @t138 () (_ @t137 @t103)) % 0.85/1.04 (define @t139 () (_ tptp.ord_le519537037nres_a @t106)) % 0.85/1.04 (define @t140 () (_ @t139 @t103)) % 0.85/1.04 (define @t141 () (= @t106 @t103)) % 0.85/1.04 (define @t142 () (not @t141)) % 0.85/1.04 (define @t143 () (@list @t106 @t103)) % 0.85/1.04 (define @t144 () (@var "B2" tptp.set_a)) % 0.85/1.04 (define @t145 () (@var "A2" tptp.set_a)) % 0.85/1.04 (define @t146 () (_ tptp.ord_less_set_a @t145)) % 0.85/1.04 (define @t147 () (_ @t146 @t144)) % 0.85/1.04 (define @t148 () (_ tptp.ord_less_eq_set_a @t145)) % 0.85/1.04 (define @t149 () (_ @t148 @t144)) % 0.85/1.04 (define @t150 () (= @t145 @t144)) % 0.85/1.04 (define @t151 () (not @t150)) % 0.85/1.04 (define @t152 () (@list @t145 @t144)) % 0.85/1.04 (define @t153 () (_ tptp.ord_le519537037nres_a @t103)) % 0.85/1.04 (define @t154 () (_ @t153 @t106)) % 0.85/1.04 (define @t155 () (_ tptp.ord_le1480771457nres_a @t103)) % 0.85/1.04 (define @t156 () (_ @t155 @t106)) % 0.85/1.04 (define @t157 () (@list @t103 @t106)) % 0.85/1.04 (define @t158 () (_ tptp.ord_less_eq_set_a @t144)) % 0.85/1.04 (define @t159 () (_ @t158 @t145)) % 0.85/1.04 (define @t160 () (_ tptp.ord_less_set_a @t144)) % 0.85/1.04 (define @t161 () (_ @t160 @t145)) % 0.85/1.04 (define @t162 () (@list @t144 @t145)) % 0.85/1.04 (define @t163 () (@var "B4" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t164 () (@var "A5" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t165 () (= @t164 @t163)) % 0.85/1.04 (define @t166 () (@list @t163 @t164)) % 0.85/1.04 (define @t167 () (@var "B4" tptp.set_a)) % 0.85/1.04 (define @t168 () (@var "A5" tptp.set_a)) % 0.85/1.04 (define @t169 () (= @t168 @t167)) % 0.85/1.04 (define @t170 () (@list @t167 @t168)) % 0.85/1.04 (define @t171 () (_ tptp.refine1198353288_RES_a @t144)) % 0.85/1.04 (define @t172 () (_ tptp.refine1198353288_RES_a @t145)) % 0.85/1.04 (define @t173 () (@var "C" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t174 () (@var "F" (-> tptp.refine424419629nres_a tptp.refine424419629nres_a))) % 0.85/1.04 (define @t175 () (_ @t174 @t173)) % 0.85/1.04 (define @t176 () (@var "Y5" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t177 () (_ @t174 @t176)) % 0.85/1.04 (define @t178 () (@var "X5" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t179 () (_ @t174 @t178)) % 0.85/1.04 (define @t180 () (_ (_ tptp.ord_le519537037nres_a @t178) @t176)) % 0.85/1.04 (define @t181 () (@list @t178 @t176)) % 0.85/1.04 (define @t182 () (forall @t181 (=> @t180 (_ (_ tptp.ord_le519537037nres_a @t179) @t177)))) % 0.85/1.04 (define @t183 () (_ @t153 @t173)) % 0.85/1.04 (define @t184 () (=> @t183 (=> @t182 (_ @t139 @t175)))) % 0.85/1.04 (define @t185 () (_ @t174 @t103)) % 0.85/1.04 (define @t186 () (_ @t139 @t185)) % 0.85/1.04 (define @t187 () (@list @t106 @t174 @t103 @t173)) % 0.85/1.04 (define @t188 () (@var "C" tptp.set_a)) % 0.85/1.04 (define @t189 () (@var "F" (-> tptp.set_a tptp.refine424419629nres_a))) % 0.85/1.04 (define @t190 () (_ @t189 @t188)) % 0.85/1.04 (define @t191 () (@var "Y5" tptp.set_a)) % 0.85/1.04 (define @t192 () (_ @t189 @t191)) % 0.85/1.04 (define @t193 () (_ @t189 @t22)) % 0.85/1.04 (define @t194 () (_ (_ tptp.ord_less_eq_set_a @t22) @t191)) % 0.85/1.04 (define @t195 () (@list @t22 @t191)) % 0.85/1.04 (define @t196 () (forall @t195 (=> @t194 (_ (_ tptp.ord_le519537037nres_a @t193) @t192)))) % 0.85/1.04 (define @t197 () (_ @t158 @t188)) % 0.85/1.04 (define @t198 () (=> @t197 (=> @t196 (_ @t139 @t190)))) % 0.85/1.04 (define @t199 () (_ @t189 @t144)) % 0.85/1.04 (define @t200 () (_ @t139 @t199)) % 0.85/1.04 (define @t201 () (@list @t106 @t189 @t144 @t188)) % 0.85/1.04 (define @t202 () (@var "F" (-> tptp.refine424419629nres_a tptp.set_a))) % 0.85/1.04 (define @t203 () (_ @t202 @t173)) % 0.85/1.04 (define @t204 () (_ @t202 @t176)) % 0.85/1.04 (define @t205 () (_ @t202 @t178)) % 0.85/1.04 (define @t206 () (forall @t181 (=> @t180 (_ (_ tptp.ord_less_eq_set_a @t205) @t204)))) % 0.85/1.04 (define @t207 () (=> @t183 (=> @t206 (_ @t148 @t203)))) % 0.85/1.04 (define @t208 () (_ @t202 @t103)) % 0.85/1.04 (define @t209 () (_ @t148 @t208)) % 0.85/1.04 (define @t210 () (@list @t145 @t202 @t103 @t173)) % 0.85/1.04 (define @t211 () (@var "F" (-> tptp.set_a tptp.set_a))) % 0.85/1.04 (define @t212 () (_ @t211 @t188)) % 0.85/1.04 (define @t213 () (_ @t211 @t191)) % 0.85/1.04 (define @t214 () (_ @t211 @t22)) % 0.85/1.04 (define @t215 () (forall @t195 (=> @t194 (_ (_ tptp.ord_less_eq_set_a @t214) @t213)))) % 0.85/1.04 (define @t216 () (=> @t197 (=> @t215 (_ @t148 @t212)))) % 0.85/1.04 (define @t217 () (_ @t211 @t144)) % 0.85/1.04 (define @t218 () (_ @t148 @t217)) % 0.85/1.04 (define @t219 () (@list @t145 @t211 @t144 @t188)) % 0.85/1.04 (define @t220 () (_ @t174 @t106)) % 0.85/1.04 (define @t221 () (=> @t182 (_ (_ tptp.ord_le519537037nres_a @t220) @t173))) % 0.85/1.04 (define @t222 () (_ (_ tptp.ord_le519537037nres_a @t185) @t173)) % 0.85/1.04 (define @t223 () (@list @t106 @t103 @t174 @t173)) % 0.85/1.04 (define @t224 () (_ @t202 @t106)) % 0.85/1.04 (define @t225 () (=> @t206 (_ (_ tptp.ord_less_eq_set_a @t224) @t188))) % 0.85/1.04 (define @t226 () (_ (_ tptp.ord_less_eq_set_a @t208) @t188)) % 0.85/1.04 (define @t227 () (@list @t106 @t103 @t202 @t188)) % 0.85/1.04 (define @t228 () (_ @t189 @t145)) % 0.85/1.04 (define @t229 () (=> @t196 (_ (_ tptp.ord_le519537037nres_a @t228) @t173))) % 0.85/1.04 (define @t230 () (_ (_ tptp.ord_le519537037nres_a @t199) @t173)) % 0.85/1.04 (define @t231 () (@list @t145 @t144 @t189 @t173)) % 0.85/1.04 (define @t232 () (_ @t211 @t145)) % 0.85/1.04 (define @t233 () (=> @t215 (_ (_ tptp.ord_less_eq_set_a @t232) @t188))) % 0.85/1.04 (define @t234 () (_ (_ tptp.ord_less_eq_set_a @t217) @t188)) % 0.85/1.04 (define @t235 () (@list @t145 @t144 @t211 @t188)) % 0.85/1.04 (define @t236 () (= @t106 @t185)) % 0.85/1.04 (define @t237 () (= @t145 @t208)) % 0.85/1.04 (define @t238 () (= @t106 @t199)) % 0.85/1.04 (define @t239 () (= @t145 @t217)) % 0.85/1.04 (define @t240 () (= @t185 @t173)) % 0.85/1.04 (define @t241 () (= @t208 @t188)) % 0.85/1.04 (define @t242 () (= @t199 @t173)) % 0.85/1.04 (define @t243 () (= @t217 @t188)) % 0.85/1.04 (define @t244 () (@var "X4" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t245 () (@var "Y6" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t246 () (_ (_ tptp.ord_le519537037nres_a @t245) @t244)) % 0.85/1.04 (define @t247 () (_ (_ tptp.ord_le519537037nres_a @t244) @t245)) % 0.85/1.04 (define @t248 () (@list @t244 @t245)) % 0.85/1.04 (define @t249 () (@var "X4" tptp.set_a)) % 0.85/1.04 (define @t250 () (@var "Y6" tptp.set_a)) % 0.85/1.04 (define @t251 () (_ (_ tptp.ord_less_eq_set_a @t250) @t249)) % 0.85/1.04 (define @t252 () (_ (_ tptp.ord_less_eq_set_a @t249) @t250)) % 0.85/1.04 (define @t253 () (@list @t249 @t250)) % 0.85/1.04 (define @t254 () (@var "Z" tptp.set_a)) % 0.85/1.04 (define @t255 () (@var "Y4" tptp.set_a)) % 0.85/1.04 (define @t256 () (lambda (@list @t255 @t254) (= @t255 @t254))) % 0.85/1.04 (define @t257 () (= @t115 @t25)) % 0.85/1.04 (define @t258 () (_ tptp.ord_le519537037nres_a @t25)) % 0.85/1.04 (define @t259 () (_ @t258 @t115)) % 0.85/1.04 (define @t260 () (_ @t116 @t25)) % 0.85/1.04 (define @t261 () (@list @t115 @t25)) % 0.85/1.04 (define @t262 () (@var "Y3" tptp.set_a)) % 0.85/1.04 (define @t263 () (= @t118 @t262)) % 0.85/1.04 (define @t264 () (_ tptp.ord_less_eq_set_a @t262)) % 0.85/1.04 (define @t265 () (_ @t264 @t118)) % 0.85/1.04 (define @t266 () (_ @t119 @t262)) % 0.85/1.04 (define @t267 () (@list @t118 @t262)) % 0.85/1.04 (define @t268 () (_ @t139 @t173)) % 0.85/1.04 (define @t269 () (=> @t183 @t268)) % 0.85/1.04 (define @t270 () (@list @t106 @t103 @t173)) % 0.85/1.04 (define @t271 () (_ @t148 @t188)) % 0.85/1.04 (define @t272 () (=> @t197 @t271)) % 0.85/1.04 (define @t273 () (@list @t145 @t144 @t188)) % 0.85/1.04 (define @t274 () (= @t260 @t257)) % 0.85/1.04 (define @t275 () (@list @t25 @t115)) % 0.85/1.04 (define @t276 () (= @t266 @t263)) % 0.85/1.04 (define @t277 () (@list @t262 @t118)) % 0.85/1.04 (define @t278 () (_ (_ tptp.ord_le519537037nres_a @t163) @t164)) % 0.85/1.04 (define @t279 () (_ (_ tptp.ord_le519537037nres_a @t164) @t163)) % 0.85/1.04 (define @t280 () (@list @t164 @t163)) % 0.85/1.04 (define @t281 () (_ (_ tptp.ord_less_eq_set_a @t167) @t168)) % 0.85/1.04 (define @t282 () (_ (_ tptp.ord_less_eq_set_a @t168) @t167)) % 0.85/1.04 (define @t283 () (@list @t168 @t167)) % 0.85/1.04 (define @t284 () (= @t103 @t173)) % 0.85/1.04 (define @t285 () (= @t144 @t188)) % 0.85/1.04 (define @t286 () (@var "Z2" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t287 () (_ @t258 @t286)) % 0.85/1.04 (define @t288 () (@list @t115 @t25 @t286)) % 0.85/1.04 (define @t289 () (@var "Z2" tptp.set_a)) % 0.85/1.04 (define @t290 () (_ @t264 @t289)) % 0.85/1.04 (define @t291 () (@list @t118 @t262 @t289)) % 0.85/1.04 (define @t292 () (@list @t106)) % 0.85/1.04 (define @t293 () (@list @t145)) % 0.85/1.04 (define @t294 () (_ tptp.ord_le519537037nres_a @t173)) % 0.85/1.04 (define @t295 () (_ @t294 @t103)) % 0.85/1.04 (define @t296 () (@list @t103 @t106 @t173)) % 0.85/1.04 (define @t297 () (_ tptp.ord_less_eq_set_a @t188)) % 0.85/1.04 (define @t298 () (_ @t297 @t144)) % 0.85/1.04 (define @t299 () (@list @t144 @t145 @t188)) % 0.85/1.04 (define @t300 () (@var "E2" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t301 () (@var "T2" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t302 () (@var "B2" Bool)) % 0.85/1.04 (define @t303 () (_ tptp.if_Ref1724547303nres_a @t302)) % 0.85/1.04 (define @t304 () (@var "E" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t305 () (@var "T" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t306 () (@var "E2" tptp.set_a)) % 0.85/1.04 (define @t307 () (@var "T2" tptp.set_a)) % 0.85/1.04 (define @t308 () (_ tptp.if_set_a @t302)) % 0.85/1.04 (define @t309 () (@var "E" tptp.set_a)) % 0.85/1.04 (define @t310 () (@var "T" tptp.set_a)) % 0.85/1.04 (define @t311 () (@var "P2" tptp.produc1609974940nres_a)) % 0.85/1.04 (define @t312 () (@var "P" (-> tptp.produc1609974940nres_a Bool))) % 0.85/1.04 (define @t313 () (@var "B" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t314 () (@var "A" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t315 () (_ (_ tptp.produc1136923598nres_a @t314) @t313)) % 0.85/1.04 (define @t316 () (@list @t314 @t313)) % 0.85/1.04 (define @t317 () (forall @t316 (_ @t312 @t315))) % 0.85/1.04 (define @t318 () (@var "Y3" tptp.produc1609974940nres_a)) % 0.85/1.04 (define @t319 () (@var "Prod" tptp.produc1609974940nres_a)) % 0.85/1.04 (define @t320 () (_ @t137 @t175)) % 0.85/1.04 (define @t321 () (_ (_ tptp.ord_le1480771457nres_a @t178) @t176)) % 0.85/1.04 (define @t322 () (forall @t181 (=> @t321 (_ (_ tptp.ord_le1480771457nres_a @t179) @t177)))) % 0.85/1.04 (define @t323 () (_ @t155 @t173)) % 0.85/1.04 (define @t324 () (=> @t323 (=> @t322 @t320))) % 0.85/1.04 (define @t325 () (_ @t146 @t203)) % 0.85/1.04 (define @t326 () (forall @t181 (=> @t321 (_ (_ tptp.ord_less_set_a @t205) @t204)))) % 0.85/1.04 (define @t327 () (=> @t323 (=> @t326 @t325))) % 0.85/1.04 (define @t328 () (_ @t137 @t190)) % 0.85/1.04 (define @t329 () (_ (_ tptp.ord_less_set_a @t22) @t191)) % 0.85/1.04 (define @t330 () (forall @t195 (=> @t329 (_ (_ tptp.ord_le1480771457nres_a @t193) @t192)))) % 0.85/1.04 (define @t331 () (_ @t160 @t188)) % 0.85/1.04 (define @t332 () (=> @t331 (=> @t330 @t328))) % 0.85/1.04 (define @t333 () (_ @t146 @t212)) % 0.85/1.04 (define @t334 () (forall @t195 (=> @t329 (_ (_ tptp.ord_less_set_a @t214) @t213)))) % 0.85/1.04 (define @t335 () (=> @t331 (=> @t334 @t333))) % 0.85/1.04 (define @t336 () (_ (_ tptp.ord_le1480771457nres_a @t220) @t173)) % 0.85/1.04 (define @t337 () (=> @t322 @t336)) % 0.85/1.04 (define @t338 () (_ (_ tptp.ord_less_set_a @t224) @t188)) % 0.85/1.04 (define @t339 () (=> @t326 @t338)) % 0.85/1.04 (define @t340 () (_ (_ tptp.ord_le1480771457nres_a @t228) @t173)) % 0.85/1.04 (define @t341 () (=> @t330 @t340)) % 0.85/1.04 (define @t342 () (_ (_ tptp.ord_less_set_a @t232) @t188)) % 0.85/1.04 (define @t343 () (=> @t334 @t342)) % 0.85/1.04 (define @t344 () (_ @t137 @t185)) % 0.85/1.04 (define @t345 () (_ @t137 @t199)) % 0.85/1.04 (define @t346 () (_ @t146 @t208)) % 0.85/1.04 (define @t347 () (_ @t146 @t217)) % 0.85/1.04 (define @t348 () (_ (_ tptp.ord_le1480771457nres_a @t185) @t173)) % 0.85/1.04 (define @t349 () (_ (_ tptp.ord_less_set_a @t208) @t188)) % 0.85/1.04 (define @t350 () (_ (_ tptp.ord_le1480771457nres_a @t199) @t173)) % 0.85/1.04 (define @t351 () (_ (_ tptp.ord_less_set_a @t217) @t188)) % 0.85/1.04 (define @t352 () (_ tptp.ord_le1480771457nres_a @t115)) % 0.85/1.04 (define @t353 () (_ @t352 @t25)) % 0.85/1.04 (define @t354 () (_ tptp.ord_less_set_a @t118)) % 0.85/1.04 (define @t355 () (_ @t354 @t262)) % 0.85/1.04 (define @t356 () (_ tptp.ord_le1480771457nres_a @t25)) % 0.85/1.04 (define @t357 () (_ @t356 @t115)) % 0.85/1.04 (define @t358 () (_ tptp.ord_less_set_a @t262)) % 0.85/1.04 (define @t359 () (_ @t358 @t118)) % 0.85/1.04 (define @t360 () (_ @t352 @t286)) % 0.85/1.04 (define @t361 () (=> (_ @t356 @t286) @t360)) % 0.85/1.04 (define @t362 () (_ @t354 @t289)) % 0.85/1.04 (define @t363 () (=> (_ @t358 @t289) @t362)) % 0.85/1.04 (define @t364 () (_ @t137 @t173)) % 0.85/1.04 (define @t365 () (=> @t323 @t364)) % 0.85/1.04 (define @t366 () (_ @t146 @t188)) % 0.85/1.04 (define @t367 () (=> @t331 @t366)) % 0.85/1.04 (define @t368 () (@var "P" Bool)) % 0.85/1.04 (define @t369 () (_ tptp.ord_le1480771457nres_a @t173)) % 0.85/1.04 (define @t370 () (_ @t369 @t106)) % 0.85/1.04 (define @t371 () (=> (_ @t369 @t103) @t370)) % 0.85/1.04 (define @t372 () (_ tptp.ord_less_set_a @t188)) % 0.85/1.04 (define @t373 () (_ @t372 @t145)) % 0.85/1.04 (define @t374 () (=> (_ @t372 @t144) @t373)) % 0.85/1.04 (define @t375 () (@var "Xa" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t376 () (= @t375 @t46)) % 0.85/1.04 (define @t377 () (= @t115 tptp.refine464223677AILi_a)) % 0.85/1.04 (define @t378 () (_ (_ tptp.ord_less_eq_set_a @t32) @t30)) % 0.85/1.04 (define @t379 () (= @t375 @t31)) % 0.85/1.04 (define @t380 () (@list @t30)) % 0.85/1.04 (define @t381 () (= @t115 @t33)) % 0.85/1.04 (define @t382 () (@list @t32)) % 0.85/1.04 (define @t383 () (_ @t116 @t375)) % 0.85/1.04 (define @t384 () (not @t383)) % 0.85/1.04 (define @t385 () (@list @t115 @t375)) % 0.85/1.04 (define @t386 () (not @t378)) % 0.85/1.04 (define @t387 () (= @t375 tptp.refine464223677AILi_a)) % 0.85/1.04 (define @t388 () (not @t387)) % 0.85/1.04 (define @t389 () (@var "Y3" Bool)) % 0.85/1.04 (define @t390 () (not @t389)) % 0.85/1.04 (define @t391 () (=> @t387 @t390)) % 0.85/1.04 (define @t392 () (= @t383 @t389)) % 0.85/1.04 (define @t393 () (@list @t115 @t375 @t389)) % 0.85/1.04 (define @t394 () (_ (_ tptp.ord_less_set_a @t32) @t30)) % 0.85/1.04 (define @t395 () (_ @t352 @t375)) % 0.85/1.04 (define @t396 () (not @t395)) % 0.85/1.04 (define @t397 () (not @t394)) % 0.85/1.04 (define @t398 () (= @t115 @t46)) % 0.85/1.04 (define @t399 () (exists @t47 @t398)) % 0.85/1.04 (define @t400 () (= @t395 @t389)) % 0.85/1.04 (define @t401 () (not @t353)) % 0.85/1.04 (define @t402 () (not @t355)) % 0.85/1.04 (define @t403 () (= @t244 @t245)) % 0.85/1.04 (define @t404 () (= @t249 @t250)) % 0.85/1.04 (define @t405 () (not @t165)) % 0.85/1.04 (define @t406 () (not @t169)) % 0.85/1.04 (define @t407 () (@var "B5" tptp.set_a)) % 0.85/1.04 (define @t408 () (_ tptp.ord_less_set_a @t130)) % 0.85/1.04 (define @t409 () (_ @t408 @t407)) % 0.85/1.04 (define @t410 () (= @t130 @t407)) % 0.85/1.04 (define @t411 () (_ tptp.ord_less_eq_set_a @t130)) % 0.85/1.04 (define @t412 () (_ @t411 @t407)) % 0.85/1.04 (define @t413 () (@list @t130 @t407)) % 0.85/1.04 (define @t414 () (_ tptp.ord_less_eq_set_a @t407)) % 0.85/1.04 (define @t415 () (_ @t414 @t130)) % 0.85/1.04 (define @t416 () (_ tptp.member_a @t52)) % 0.85/1.04 (define @t417 () (@var "C" tptp.a)) % 0.85/1.04 (define @t418 () (_ tptp.member_a @t417)) % 0.85/1.04 (define @t419 () (=> (_ @t418 @t130) (_ @t418 @t407))) % 0.85/1.04 (define @t420 () (@list @t130 @t407 @t417)) % 0.85/1.04 (define @t421 () (@var "B6" tptp.set_a)) % 0.85/1.04 (define @t422 () (@var "T3" tptp.a)) % 0.85/1.04 (define @t423 () (_ tptp.member_a @t422)) % 0.85/1.04 (define @t424 () (@var "A6" tptp.set_a)) % 0.85/1.04 (define @t425 () (@list @t424 @t421)) % 0.85/1.04 (define @t426 () (_ (_ tptp.ord_less_eq_set_a @t124) @t133)) % 0.85/1.04 (define @t427 () (@var "C2" tptp.set_a)) % 0.85/1.04 (define @t428 () (_ @t414 @t427)) % 0.85/1.04 (define @t429 () (@list @t130 @t407 @t427)) % 0.85/1.04 (define @t430 () (_ (_ tptp.ord_less_eq_set_a @t421) @t424)) % 0.85/1.04 (define @t431 () (_ (_ tptp.ord_less_eq_set_a @t424) @t421)) % 0.85/1.04 (define @t432 () (_ @t122 @t16)) % 0.85/1.04 (define @t433 () (_ @t408 @t427)) % 0.85/1.04 (define @t434 () (=> (_ (_ tptp.ord_less_set_a @t407) @t427) @t433)) % 0.85/1.04 (define @t435 () (= @t424 @t421)) % 0.85/1.04 (define @t436 () (_ tptp.accp_P624619091nres_a tptp.refine260105272_rel_a)) % 0.85/1.04 (define @t437 () (_ @t436 @t86)) % 0.85/1.04 (define @t438 () (not (_ @t436 @t91))) % 0.85/1.04 (define @t439 () (not (_ @t436 (_ @t83 @t375)))) % 0.85/1.04 (define @t440 () (_ tptp.produc1136923598nres_a @t115)) % 0.85/1.04 (define @t441 () (_ @t440 @t375)) % 0.85/1.04 (define @t442 () (_ @t436 @t441)) % 0.85/1.04 (define @t443 () (_ tptp.accp_P624619091nres_a tptp.refine1048213316_rel_a)) % 0.85/1.04 (define @t444 () (not (_ @t443 @t84))) % 0.85/1.04 (define @t445 () (_ @t443 @t86)) % 0.85/1.04 (define @t446 () (_ @t443 @t441)) % 0.85/1.04 (define @t447 () (not (_ @t443 (_ @t440 tptp.refine464223677AILi_a)))) % 0.85/1.04 (define @t448 () (_ tptp.order_1714329108nres_a @t21)) % 0.85/1.04 (define @t449 () (@var "Q" (-> tptp.refine424419629nres_a Bool))) % 0.85/1.04 (define @t450 () (@var "Y7" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t451 () (forall (@list @t176) (=> (_ @t21 @t176) (_ (_ tptp.ord_le519537037nres_a @t176) @t115)))) % 0.85/1.04 (define @t452 () (_ @t21 @t115)) % 0.85/1.04 (define @t453 () (@var "P" (-> tptp.set_a Bool))) % 0.85/1.04 (define @t454 () (_ tptp.order_Greatest_set_a @t453)) % 0.85/1.04 (define @t455 () (@var "Q" (-> tptp.set_a Bool))) % 0.85/1.04 (define @t456 () (@var "Y7" tptp.set_a)) % 0.85/1.04 (define @t457 () (forall (@list @t191) (=> (_ @t453 @t191) (_ (_ tptp.ord_less_eq_set_a @t191) @t118)))) % 0.85/1.04 (define @t458 () (_ @t453 @t118)) % 0.85/1.04 (define @t459 () (@var "S" tptp.set_a)) % 0.85/1.04 (define @t460 () (@var "R3" tptp.set_a)) % 0.85/1.04 (define @t461 () (@var "R2" tptp.set_a)) % 0.85/1.04 (define @t462 () (_ (_ tptp.ord_less_eq_set_a @t461) @t460)) % 0.85/1.04 (define @t463 () (@var "D" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t464 () (@var "D" tptp.set_a)) % 0.85/1.04 (define @t465 () (@var "S" tptp.set_Pr384614482nres_a)) % 0.85/1.04 (define @t466 () (_ (_ tptp.member1468928819nres_a @t108) @t465)) % 0.85/1.04 (define @t467 () (@var "M23" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t468 () (@var "M12" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t469 () (@var "M22" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t470 () (@var "M1" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t471 () (not @t302)) % 0.85/1.04 (define @t472 () (@var "M23" tptp.set_a)) % 0.85/1.04 (define @t473 () (@var "M12" tptp.set_a)) % 0.85/1.04 (define @t474 () (@var "M22" tptp.set_a)) % 0.85/1.04 (define @t475 () (@var "M1" tptp.set_a)) % 0.85/1.04 (define @t476 () (_ tptp.phi tptp.x)) % 0.85/1.04 (define @t477 () (_ tptp.collect_a tptp.phi)) % 0.85/1.04 (define @t478 () (_ tptp.refine1198353288_RES_a @t477)) % 0.85/1.04 (define @t479 () (= (_ (_ tptp.refine1312857699nres_a @t478) tptp.x) @t476)) % 0.85/1.04 (define @t480 () (not @t479)) % 0.85/1.04 (define @t481 () (@var "M2" tptp.set_a)) % 0.85/1.04 (define @t482 () (_ tptp.refine1198353288_RES_a @t481)) % 0.85/1.04 (define @t483 () (@var "M" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t484 () (= @t483 @t482)) % 0.85/1.04 (define @t485 () (@list @t481)) % 0.85/1.04 (define @t486 () (exists @t485 @t484)) % 0.85/1.04 (define @t487 () (@list @t483)) % 0.85/1.04 (define @t488 () (lambda @t487 @t486)) % 0.85/1.04 (define @t489 () (_ (_ tptp.refine1001002027nres_a @t483) @t16)) % 0.85/1.04 (define @t490 () (and (_ tptp.refine412683989fail_a @t483) @t489)) % 0.85/1.04 (define @t491 () (@list @t483 @t16)) % 0.85/1.04 (define @t492 () (lambda @t491 @t490)) % 0.85/1.04 (define @t493 () (lambda @t67 (=> @t65 (and @t66 (forall @t18 (=> @t64 @t62)))))) % 0.85/1.04 (define @t494 () (lambda @t166 (and @t278 @t405))) % 0.85/1.04 (define @t495 () (lambda @t170 (and @t281 @t406))) % 0.85/1.04 (define @t496 () (@var "J" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t497 () (@var "As" (-> tptp.refine424419629nres_a tptp.refine424419629nres_a))) % 0.85/1.04 (define @t498 () (@var "I" tptp.refine424419629nres_a)) % 0.85/1.04 (define @t499 () (@var "R" tptp.set_Pr384614482nres_a)) % 0.85/1.04 (define @t500 () (_ (_ tptp.member1468928819nres_a (_ (_ tptp.produc1136923598nres_a @t498) @t496)) @t499)) % 0.85/1.04 (define @t501 () (@list @t498 @t496)) % 0.85/1.04 (define @t502 () (lambda (@list @t499 @t497) (forall @t501 (=> @t500 (_ (_ tptp.ord_le519537037nres_a (_ @t497 @t498)) (_ @t497 @t496)))))) % 0.85/1.04 (define @t503 () (@var "As" (-> tptp.refine424419629nres_a tptp.set_a))) % 0.85/1.04 (define @t504 () (lambda (@list @t499 @t503) (forall @t501 (=> @t500 (_ (_ tptp.ord_less_eq_set_a (_ @t503 @t498)) (_ @t503 @t496)))))) % 0.85/1.04 (define @t505 () (lambda @t425 (forall @t18 (=> (_ @t17 @t424) (_ @t17 @t421))))) % 0.85/1.04 (define @t506 () (@var "C3" tptp.set_set_a)) % 0.85/1.04 (define @t507 () (lambda (@list @t506) (forall (@list @t249) (=> (_ (_ tptp.member_set_a @t249) @t506) (forall (@list @t250) (=> (_ (_ tptp.member_set_a @t250) @t506) (or @t252 @t251))))))) % 0.85/1.04 (define @t508 () (_ @t122 @t121)) % 0.85/1.04 (define @t509 () (tptp.collect_a @t122)) % 0.85/1.04 (define @t510 () (tptp.member_a @t121 @t509)) % 0.85/1.04 (define @t511 () (tptp.collect_a tptp.phi)) % 0.85/1.04 (define @t512 () (tptp.member_a tptp.x @t511)) % 0.85/1.04 (define @t513 () (tptp.phi tptp.x)) % 0.85/1.04 (define @t514 () (forall @t128 (= @t510 @t508))) % 0.85/1.04 (define @t515 () (= @t512 @t513)) % 0.85/1.04 (define @t516 () (= @t513 @t512)) % 0.85/1.04 (define @t517 () (@list false)) % 0.85/1.04 (define @t518 () (tptp.refine1198353288_RES_a @t511)) % 0.85/1.04 (define @t519 () (tptp.refine1001002027nres_a @t518 tptp.x)) % 0.85/1.04 (define @t520 () (tptp.refine1198353288_RES_a @t481)) % 0.85/1.04 (define @t521 () (not (forall @t485 (not (= @t520 @t518))))) % 0.85/1.04 (define @t522 () (and @t521 @t519)) % 0.85/1.04 (define @t523 () (_ tptp.refine1001002027nres_a @t478)) % 0.85/1.04 (define @t524 () (_ @t523 tptp.x)) % 0.85/1.04 (define @t525 () (and @t521 @t524)) % 0.85/1.04 (define @t526 () (= @t476 @t525)) % 0.85/1.04 (define @t527 () (_ @t523 @t16)) % 0.85/1.04 (define @t528 () (= @t520 @t478)) % 0.85/1.04 (define @t529 () (not @t528)) % 0.85/1.04 (define @t530 () (not (= @t478 @t520))) % 0.85/1.04 (define @t531 () (forall @t485 @t530)) % 0.85/1.04 (define @t532 () (not @t531)) % 0.85/1.04 (define @t533 () (and @t532 @t527)) % 0.85/1.04 (define @t534 () (lambda @t18 @t533)) % 0.85/1.04 (define @t535 () (not (forall @t485 (not (= @t483 @t520))))) % 0.85/1.04 (define @t536 () (lambda @t491 (and @t535 @t489))) % 0.85/1.04 (define @t537 () (_ @t536 @t478)) % 0.85/1.04 (define @t538 () (_ @t537 tptp.x)) % 0.85/1.04 (define @t539 () (_ (lambda @t487 @t535) @t483)) % 0.85/1.04 (define @t540 () (not @t484)) % 0.85/1.04 (define @t541 () (forall @t485 @t540)) % 0.85/1.04 (define @t542 () (not @t541)) % 0.85/1.04 (define @t543 () (tptp.refine1198353288_RES_a @t2)) % 0.85/1.04 (define @t544 () (tptp.refine1001002027nres_a @t543 @t9)) % 0.85/1.04 (define @t545 () (_ @t19 @t9)) % 0.85/1.04 (define @t546 () (not (forall @t485 (not (= @t520 @t543))))) % 0.85/1.04 (define @t547 () (and @t546 @t545)) % 0.85/1.04 (define @t548 () (tptp.member_a @t9 @t2)) % 0.85/1.04 (define @t549 () (= @t11 @t547)) % 0.85/1.04 (define @t550 () (_ @t19 @t16)) % 0.85/1.04 (define @t551 () (not (= @t543 @t520))) % 0.85/1.04 (define @t552 () (= @t4 @t520)) % 0.85/1.04 (define @t553 () (not @t552)) % 0.85/1.04 (define @t554 () (forall @t485 @t553)) % 0.85/1.04 (define @t555 () (not @t554)) % 0.85/1.04 (define @t556 () (and @t555 @t550)) % 0.85/1.04 (define @t557 () (lambda @t18 @t556)) % 0.85/1.04 (define @t558 () (_ @t536 @t4)) % 0.85/1.04 (define @t559 () (_ @t558 @t9)) % 0.85/1.04 (define @t560 () (forall @t13 (= @t548 (and @t546 @t544)))) % 0.85/1.04 (define @t561 () (= @t512 @t522)) % 0.85/1.04 (define @t562 () (= @t522 @t512)) % 0.85/1.04 (define @t563 () (not @t562)) % 0.85/1.04 (define @t564 () (not @t522)) % 0.85/1.04 (define @t565 () (not @t516)) % 0.85/1.04 (define @t566 () (not @t512)) % 0.85/1.04 (assume @p1 (forall @t5 (= (= @t4 @t3) (= @t2 @t1)))) % 0.85/1.04 (assume @p2 (forall (@list @t7 @t6) (= (= @t8 (_ tptp.refine1198353288_RES_a @t6)) (= @t7 @t6)))) % 0.85/1.04 (assume @p3 @t14) % 0.85/1.04 (assume @p4 (forall @t15 (= (_ tptp.refine1822134885_RES_a @t4) @t2))) % 0.85/1.04 (assume @p5 (forall @t15 (= @t19 (lambda @t18 (_ @t17 @t2))))) % 0.85/1.04 (assume @p6 (forall @t15 (_ tptp.refine412683989fail_a @t4))) % 0.85/1.04 (assume @p7 (forall (@list @t7) (not (= tptp.refine464223677AILi_a @t8)))) % 0.85/1.04 (assume @p8 (forall (@list @t21 @t20) (=> (_ @t21 tptp.refine464223677AILi_a) (=> (forall @t23 (_ @t21 (_ tptp.refine1198353288_RES_a @t22))) (_ @t21 @t20))))) % 0.85/1.04 (assume @p9 (forall (@list @t25) (=> (not (= @t25 tptp.refine464223677AILi_a)) (not (forall (@list @t24) (not (= @t25 (_ tptp.refine1198353288_RES_a @t24)))))))) % 0.85/1.04 (assume @p10 (forall @t44 (=> @t43 (=> (forall @t40 (_ @t39 @t38)) @t36)))) % 0.85/1.04 (assume @p11 (forall @t44 (=> (forall (@list @t48) (_ @t39 @t48)) (=> (forall @t47 (_ (_ @t28 @t46) tptp.refine464223677AILi_a)) @t36)))) % 0.85/1.04 (assume @p12 (forall @t44 (=> @t43 (=> @t35 (=> (forall @t47 (_ @t39 @t46)) @t29))))) % 0.85/1.04 (assume @p13 (forall (@list @t49) (=> (_ tptp.refine412683989fail_a @t49) (= (_ tptp.refine1198353288_RES_a (_ tptp.refine1822134885_RES_a @t49)) @t49)))) % 0.85/1.04 (assume @p14 (forall @t60 (=> (= @t59 @t58) (=> (forall @t57 (= @t56 @t54)) (= @t51 @t50))))) % 0.85/1.04 (assume @p15 (= @t70 (lambda @t67 (and (= @t66 @t65) (forall @t18 (= @t64 @t62)))))) % 0.85/1.04 (assume @p16 (forall (@list @t51 @t9) (=> (not @t59) @t71))) % 0.85/1.04 (assume @p17 (forall @t75 (= (_ tptp.refine1001002027nres_a @t74) (_ (lambda (@list @t73 @t72) (= @t73 @t72)) @t9)))) % 0.85/1.04 (assume @p18 (forall @t75 (_ tptp.refine412683989fail_a @t74))) % 0.85/1.04 (assume @p19 (forall @t78 (=> (=> @t58 (and @t59 (forall @t57 @t77))) @t76))) % 0.85/1.04 (assume @p20 (forall @t78 (=> @t79 (=> (forall @t57 (=> @t58 @t77)) @t76)))) % 0.85/1.04 (assume @p21 (forall @t82 (not (_ (_ tptp.ord_le519537037nres_a tptp.refine464223677AILi_a) @t81)))) % 0.85/1.04 (assume @p22 (forall @t82 (_ (_ tptp.ord_le1480771457nres_a @t81) tptp.refine464223677AILi_a))) % 0.85/1.04 (assume @p23 (forall @t89 (=> @t88 (=> @t87 (not (forall @t47 (not (= @t85 @t84)))))))) % 0.85/1.04 (assume @p24 (forall @t89 (=> (forall @t42 (not (= @t85 (_ @t83 @t41)))) (=> (forall @t47 (not (= @t85 @t91))) @t90)))) % 0.85/1.04 (assume @p25 (forall @t89 (=> @t88 (=> (forall @t40 (not (= @t85 (_ @t83 @t38)))) @t90)))) % 0.85/1.04 (assume @p26 (forall @t95 (= (= @t74 @t94) @t93))) % 0.85/1.04 (assume @p27 (forall @t95 (= (_ @t96 @t94) @t93))) % 0.85/1.04 (assume @p28 (forall (@list @t9 @t1) (= (_ @t96 @t3) (_ @t10 @t1)))) % 0.85/1.04 (assume @p29 (= tptp.refine1001002027nres_a (lambda (@list @t63 @t16) (_ (_ tptp.ord_le519537037nres_a (_ tptp.refine2063221604TURN_a @t16)) @t63)))) % 0.85/1.04 (assume @p30 (forall @t98 (not (_ (_ tptp.ord_le1480771457nres_a tptp.refine464223677AILi_a) @t97)))) % 0.85/1.04 (assume @p31 (forall @t98 (_ (_ tptp.ord_le519537037nres_a @t97) tptp.refine464223677AILi_a))) % 0.85/1.04 (assume @p32 (forall (@list @t99 @t100) (=> (=> (_ tptp.refine412683989fail_a @t99) @t101) @t101))) % 0.85/1.04 (assume @p33 (forall @t60 (=> @t76 @t79))) % 0.85/1.04 (assume @p34 (forall (@list @t51 @t50 @t9) (=> @t76 (=> @t71 (_ @t53 @t9))))) % 0.85/1.04 (assume @p35 (forall @t110 (= @t109 (and @t107 @t104)))) % 0.85/1.04 (assume @p36 (forall (@list @t114 @t112 @t113 @t111) (= (= (_ (_ tptp.produc1136923598nres_a @t114) @t112) (_ (_ tptp.produc1136923598nres_a @t113) @t111)) (and (= @t114 @t113) (= @t112 @t111))))) % 0.85/1.04 (assume @p37 (forall @t117 (_ @t116 @t115))) % 0.85/1.04 (assume @p38 (forall @t120 (_ @t119 @t118))) % 0.85/1.04 (assume @p39 @t129) % 0.85/1.04 (assume @p40 (forall @t131 (= (_ tptp.collect_a (lambda @t18 (_ @t17 @t130))) @t130))) % 0.85/1.04 (assume @p41 (forall @t136 (=> (forall @t57 (= @t135 @t134)) (= @t124 @t133)))) % 0.85/1.04 (assume @p42 (forall @t143 (=> @t142 (=> @t140 @t138)))) % 0.85/1.04 (assume @p43 (forall @t152 (=> @t151 (=> @t149 @t147)))) % 0.85/1.04 (assume @p44 (forall @t157 (=> @t156 @t154))) % 0.85/1.04 (assume @p45 (forall @t162 (=> @t161 @t159))) % 0.85/1.04 (assume @p46 (= tptp.ord_le519537037nres_a (lambda @t166 (or (_ (_ tptp.ord_le1480771457nres_a @t163) @t164) @t165)))) % 0.85/1.04 (assume @p47 (= tptp.ord_less_eq_set_a (lambda @t170 (or (_ (_ tptp.ord_less_set_a @t167) @t168) @t169)))) % 0.85/1.04 (assume @p48 (forall @t143 (=> @t138 @t140))) % 0.85/1.04 (assume @p49 (forall @t152 (=> @t147 @t149))) % 0.85/1.04 (assume @p50 (forall @t152 (= (_ (_ tptp.ord_le519537037nres_a @t172) @t171) @t149))) % 0.85/1.04 (assume @p51 (forall @t5 (= (_ (_ tptp.ord_le519537037nres_a @t4) @t3) (_ (_ tptp.ord_less_eq_set_a @t2) @t1)))) % 0.85/1.04 (assume @p52 (forall @t152 (= (_ (_ tptp.ord_le1480771457nres_a @t172) @t171) @t147))) % 0.85/1.04 (assume @p53 (forall @t187 (=> @t186 @t184))) % 0.85/1.04 (assume @p54 (forall @t201 (=> @t200 @t198))) % 0.85/1.04 (assume @p55 (forall @t210 (=> @t209 @t207))) % 0.85/1.04 (assume @p56 (forall @t219 (=> @t218 @t216))) % 0.85/1.04 (assume @p57 (forall @t223 (=> @t140 (=> @t222 @t221)))) % 0.85/1.04 (assume @p58 (forall @t227 (=> @t140 (=> @t226 @t225)))) % 0.85/1.04 (assume @p59 (forall @t231 (=> @t149 (=> @t230 @t229)))) % 0.85/1.04 (assume @p60 (forall @t235 (=> @t149 (=> @t234 @t233)))) % 0.85/1.04 (assume @p61 (forall @t187 (=> @t236 @t184))) % 0.85/1.04 (assume @p62 (forall @t210 (=> @t237 @t207))) % 0.85/1.04 (assume @p63 (forall @t201 (=> @t238 @t198))) % 0.85/1.04 (assume @p64 (forall @t219 (=> @t239 @t216))) % 0.85/1.04 (assume @p65 (forall @t223 (=> @t140 (=> @t240 @t221)))) % 0.85/1.04 (assume @p66 (forall @t227 (=> @t140 (=> @t241 @t225)))) % 0.85/1.04 (assume @p67 (forall @t231 (=> @t149 (=> @t242 @t229)))) % 0.85/1.04 (assume @p68 (forall @t235 (=> @t149 (=> @t243 @t233)))) % 0.85/1.04 (assume @p69 (= @t70 (lambda @t248 (and @t247 @t246)))) % 0.85/1.04 (assume @p70 (= @t256 (lambda @t253 (and @t252 @t251)))) % 0.85/1.04 (assume @p71 (forall @t261 (=> @t260 (=> @t259 @t257)))) % 0.85/1.04 (assume @p72 (forall @t267 (=> @t266 (=> @t265 @t263)))) % 0.85/1.04 (assume @p73 (forall @t261 (=> @t257 @t260))) % 0.85/1.04 (assume @p74 (forall @t267 (=> @t263 @t266))) % 0.85/1.04 (assume @p75 (forall @t270 (=> @t140 @t269))) % 0.85/1.04 (assume @p76 (forall @t273 (=> @t149 @t272))) % 0.85/1.04 (assume @p77 (forall @t275 (=> @t259 @t274))) % 0.85/1.04 (assume @p78 (forall @t277 (=> @t265 @t276))) % 0.85/1.04 (assume @p79 (= @t70 (lambda @t280 (and @t279 @t278)))) % 0.85/1.04 (assume @p80 (= @t256 (lambda @t283 (and @t282 @t281)))) % 0.85/1.04 (assume @p81 (forall @t270 (=> @t141 @t269))) % 0.85/1.04 (assume @p82 (forall @t273 (=> @t150 @t272))) % 0.85/1.04 (assume @p83 (forall @t270 (=> @t140 (=> @t284 @t268)))) % 0.85/1.04 (assume @p84 (forall @t273 (=> @t149 (=> @t285 @t271)))) % 0.85/1.04 (assume @p85 (forall @t143 (=> @t140 (=> @t154 @t141)))) % 0.85/1.04 (assume @p86 (forall @t152 (=> @t149 (=> @t159 @t150)))) % 0.85/1.04 (assume @p87 (forall @t288 (=> @t260 (=> @t287 (_ @t116 @t286))))) % 0.85/1.04 (assume @p88 (forall @t291 (=> @t266 (=> @t290 (_ @t119 @t289))))) % 0.85/1.04 (assume @p89 (forall @t292 (_ @t139 @t106))) % 0.85/1.04 (assume @p90 (forall @t293 (_ @t148 @t145))) % 0.85/1.04 (assume @p91 (forall @t296 (=> @t154 (=> @t295 (_ @t294 @t106))))) % 0.85/1.04 (assume @p92 (forall @t299 (=> @t159 (=> @t298 (_ @t297 @t145))))) % 0.85/1.04 (assume @p93 (= @t70 (lambda @t280 (and @t278 @t279)))) % 0.85/1.04 (assume @p94 (= @t256 (lambda @t283 (and @t281 @t282)))) % 0.85/1.04 (assume @p95 (forall @t157 (=> @t154 (=> @t140 @t141)))) % 0.85/1.04 (assume @p96 (forall @t162 (=> @t159 (=> @t149 @t150)))) % 0.85/1.04 (assume @p97 (forall (@list @t305 @t301 @t304 @t300 @t302) (=> (_ (_ tptp.ord_le519537037nres_a @t305) @t301) (=> (_ (_ tptp.ord_le519537037nres_a @t304) @t300) (_ (_ tptp.ord_le519537037nres_a (_ (_ @t303 @t305) @t304)) (_ (_ @t303 @t301) @t300)))))) % 0.85/1.04 (assume @p98 (forall (@list @t310 @t307 @t309 @t306 @t302) (=> (_ (_ tptp.ord_less_eq_set_a @t310) @t307) (=> (_ (_ tptp.ord_less_eq_set_a @t309) @t306) (_ (_ tptp.ord_less_eq_set_a (_ (_ @t308 @t310) @t309)) (_ (_ @t308 @t307) @t306)))))) % 0.85/1.04 (assume @p99 (forall (@list @t311) (exists @t181 (= @t311 (_ (_ tptp.produc1136923598nres_a @t178) @t176))))) % 0.85/1.04 (assume @p100 (forall (@list @t312 @t311) (=> @t317 (_ @t312 @t311)))) % 0.85/1.04 (assume @p101 (forall @t110 (=> @t109 (not (=> @t107 (not @t104)))))) % 0.85/1.04 (assume @p102 (forall (@list @t318) (not (forall @t316 (not (= @t318 @t315)))))) % 0.85/1.04 (assume @p103 (forall (@list @t312 @t319) (=> @t317 (_ @t312 @t319)))) % 0.85/1.04 (assume @p104 (forall @t187 (=> @t236 @t324))) % 0.85/1.04 (assume @p105 (forall @t210 (=> @t237 @t327))) % 0.85/1.04 (assume @p106 (forall @t201 (=> @t238 @t332))) % 0.85/1.04 (assume @p107 (forall @t219 (=> @t239 @t335))) % 0.85/1.04 (assume @p108 (forall @t223 (=> @t138 (=> @t240 @t337)))) % 0.85/1.04 (assume @p109 (forall @t227 (=> @t138 (=> @t241 @t339)))) % 0.85/1.04 (assume @p110 (forall @t231 (=> @t147 (=> @t242 @t341)))) % 0.85/1.04 (assume @p111 (forall @t235 (=> @t147 (=> @t243 @t343)))) % 0.85/1.04 (assume @p112 (forall @t187 (=> @t344 @t324))) % 0.85/1.04 (assume @p113 (forall @t201 (=> @t345 @t332))) % 0.85/1.04 (assume @p114 (forall @t210 (=> @t346 @t327))) % 0.85/1.04 (assume @p115 (forall @t219 (=> @t347 @t335))) % 0.85/1.04 (assume @p116 (forall @t223 (=> @t138 (=> @t348 @t337)))) % 0.85/1.04 (assume @p117 (forall @t227 (=> @t138 (=> @t349 @t339)))) % 0.85/1.04 (assume @p118 (forall @t231 (=> @t147 (=> @t350 @t341)))) % 0.85/1.04 (assume @p119 (forall @t235 (=> @t147 (=> @t351 @t343)))) % 0.85/1.04 (assume @p120 (forall @t143 (=> @t138 (not @t156)))) % 0.85/1.04 (assume @p121 (forall @t152 (=> @t147 (not @t161)))) % 0.85/1.04 (assume @p122 (forall @t261 (=> @t353 (not @t257)))) % 0.85/1.04 (assume @p123 (forall @t267 (=> @t355 (not @t263)))) % 0.85/1.04 (assume @p124 (forall @t261 (=> @t353 (not @t357)))) % 0.85/1.04 (assume @p125 (forall @t267 (=> @t355 (not @t359)))) % 0.85/1.04 (assume @p126 (forall @t288 (=> @t353 @t361))) % 0.85/1.04 (assume @p127 (forall @t291 (=> @t355 @t363))) % 0.85/1.04 (assume @p128 (forall @t117 (not (_ @t352 @t115)))) % 0.85/1.04 (assume @p129 (forall @t120 (not (_ @t354 @t118)))) % 0.85/1.04 (assume @p130 (forall @t270 (=> @t141 @t365))) % 0.85/1.04 (assume @p131 (forall @t273 (=> @t150 @t367))) % 0.85/1.04 (assume @p132 (forall @t270 (=> @t138 (=> @t284 @t364)))) % 0.85/1.04 (assume @p133 (forall @t273 (=> @t147 (=> @t285 @t366)))) % 0.85/1.04 (assume @p134 (forall @t157 (=> @t156 (not @t138)))) % 0.85/1.04 (assume @p135 (forall @t162 (=> @t161 (not @t147)))) % 0.85/1.04 (assume @p136 (forall @t261 (=> @t353 (not (= @t25 @t115))))) % 0.85/1.04 (assume @p137 (forall @t267 (=> @t355 (not (= @t262 @t118))))) % 0.85/1.04 (assume @p138 (forall (@list @t115 @t25 @t368) (=> @t353 (=> @t357 @t368)))) % 0.85/1.04 (assume @p139 (forall (@list @t118 @t262 @t368) (=> @t355 (=> @t359 @t368)))) % 0.85/1.04 (assume @p140 (forall @t292 (not (_ @t137 @t106)))) % 0.85/1.04 (assume @p141 (forall @t293 (not (_ @t146 @t145)))) % 0.85/1.04 (assume @p142 (forall @t270 (=> @t138 @t365))) % 0.85/1.04 (assume @p143 (forall @t273 (=> @t147 @t367))) % 0.85/1.04 (assume @p144 (forall @t296 (=> @t156 @t371))) % 0.85/1.04 (assume @p145 (forall @t299 (=> @t161 @t374))) % 0.85/1.04 (assume @p146 (forall @t143 (=> @t138 @t142))) % 0.85/1.04 (assume @p147 (forall @t152 (=> @t147 @t151))) % 0.85/1.04 (assume @p148 (forall @t157 (=> @t156 @t142))) % 0.85/1.04 (assume @p149 (forall @t162 (=> @t161 @t151))) % 0.85/1.04 (assume @p150 (forall @t385 (=> @t384 (=> (forall @t382 (=> @t381 (forall @t380 (=> @t379 @t378)))) (not (=> @t377 (forall @t47 (not @t376)))))))) % 0.85/1.04 (assume @p151 (forall @t385 (=> @t383 (=> @t388 (not (forall @t382 (=> @t381 (forall @t380 (=> @t379 @t386))))))))) % 0.85/1.04 (assume @p152 (forall @t393 (=> @t392 (=> @t391 (=> (forall @t382 (=> @t381 (forall @t380 (=> @t379 (= @t389 @t386))))) (not (=> @t377 (=> (exists @t47 @t376) @t389)))))))) % 0.85/1.04 (assume @p153 (forall @t385 (=> @t396 (=> (not @t377) (not (forall @t382 (=> @t381 (forall @t380 (=> @t379 @t394))))))))) % 0.85/1.04 (assume @p154 (forall @t385 (=> @t395 (=> (=> @t399 @t388) (not (forall @t382 (=> @t381 (forall @t380 (=> @t379 @t397))))))))) % 0.85/1.04 (assume @p155 (forall @t393 (=> @t400 (=> (=> @t377 @t389) (=> (=> @t399 @t391) (not (forall @t382 (=> @t381 (forall @t380 (=> @t379 (= @t389 @t397))))))))))) % 0.85/1.04 (assume @p156 (forall @t275 (=> @t259 @t401))) % 0.85/1.04 (assume @p157 (forall @t277 (=> @t265 @t402))) % 0.85/1.04 (assume @p158 (= tptp.ord_le519537037nres_a (lambda @t248 (or (_ (_ tptp.ord_le1480771457nres_a @t244) @t245) @t403)))) % 0.85/1.04 (assume @p159 (= tptp.ord_less_eq_set_a (lambda @t253 (or (_ (_ tptp.ord_less_set_a @t249) @t250) @t404)))) % 0.85/1.04 (assume @p160 (= tptp.ord_le1480771457nres_a (lambda @t248 (and @t247 (not @t403))))) % 0.85/1.04 (assume @p161 (= tptp.ord_less_set_a (lambda @t253 (and @t252 (not @t404))))) % 0.85/1.04 (assume @p162 (forall @t187 (=> @t186 @t324))) % 0.85/1.04 (assume @p163 (forall @t201 (=> @t200 @t332))) % 0.85/1.04 (assume @p164 (forall @t210 (=> @t209 @t327))) % 0.85/1.04 (assume @p165 (forall @t219 (=> @t218 @t335))) % 0.85/1.04 (assume @p166 (forall @t223 (=> @t140 (=> @t348 (=> @t182 @t336))))) % 0.85/1.04 (assume @p167 (forall @t227 (=> @t140 (=> @t349 (=> @t206 @t338))))) % 0.85/1.04 (assume @p168 (forall @t231 (=> @t149 (=> @t350 (=> @t196 @t340))))) % 0.85/1.04 (assume @p169 (forall @t235 (=> @t149 (=> @t351 (=> @t215 @t342))))) % 0.85/1.04 (assume @p170 (forall @t187 (=> @t344 (=> @t183 (=> @t182 @t320))))) % 0.85/1.04 (assume @p171 (forall @t210 (=> @t346 (=> @t183 (=> @t206 @t325))))) % 0.85/1.04 (assume @p172 (forall @t201 (=> @t345 (=> @t197 (=> @t196 @t328))))) % 0.85/1.04 (assume @p173 (forall @t219 (=> @t347 (=> @t197 (=> @t215 @t333))))) % 0.85/1.04 (assume @p174 (forall @t223 (=> @t138 (=> @t222 @t337)))) % 0.85/1.04 (assume @p175 (forall @t231 (=> @t147 (=> @t230 @t341)))) % 0.85/1.04 (assume @p176 (forall @t227 (=> @t138 (=> @t226 @t339)))) % 0.85/1.04 (assume @p177 (forall @t235 (=> @t147 (=> @t234 @t343)))) % 0.85/1.04 (assume @p178 (forall @t143 (=> @t140 (=> @t142 @t138)))) % 0.85/1.04 (assume @p179 (forall @t152 (=> @t149 (=> @t151 @t147)))) % 0.85/1.04 (assume @p180 (forall @t261 (=> @t401 @t274))) % 0.85/1.04 (assume @p181 (forall @t267 (=> @t402 @t276))) % 0.85/1.04 (assume @p182 (forall @t261 (=> @t260 (= @t401 @t257)))) % 0.85/1.04 (assume @p183 (forall @t267 (=> @t266 (= @t402 @t263)))) % 0.85/1.04 (assume @p184 (forall @t261 (=> @t353 @t260))) % 0.85/1.04 (assume @p185 (forall @t267 (=> @t355 @t266))) % 0.85/1.04 (assume @p186 (forall @t288 (=> @t260 @t361))) % 0.85/1.04 (assume @p187 (forall @t291 (=> @t266 @t363))) % 0.85/1.04 (assume @p188 (forall @t288 (=> @t353 (=> @t287 @t360)))) % 0.85/1.04 (assume @p189 (forall @t291 (=> @t355 (=> @t290 @t362)))) % 0.85/1.04 (assume @p190 (forall @t261 (=> @t260 (or @t353 @t257)))) % 0.85/1.04 (assume @p191 (forall @t267 (=> @t266 (or @t355 @t263)))) % 0.85/1.04 (assume @p192 (= tptp.ord_le1480771457nres_a (lambda @t248 (and @t247 (not @t246))))) % 0.85/1.04 (assume @p193 (= tptp.ord_less_set_a (lambda @t253 (and @t252 (not @t251))))) % 0.85/1.04 (assume @p194 (forall @t270 (=> @t140 @t365))) % 0.85/1.04 (assume @p195 (forall @t273 (=> @t149 @t367))) % 0.85/1.04 (assume @p196 (forall @t270 (=> @t138 (=> @t183 @t364)))) % 0.85/1.04 (assume @p197 (forall @t273 (=> @t147 (=> @t197 @t366)))) % 0.85/1.04 (assume @p198 (= tptp.ord_le519537037nres_a (lambda @t280 (or (_ (_ tptp.ord_le1480771457nres_a @t164) @t163) @t165)))) % 0.85/1.04 (assume @p199 (= tptp.ord_less_eq_set_a (lambda @t283 (or (_ (_ tptp.ord_less_set_a @t168) @t167) @t169)))) % 0.85/1.04 (assume @p200 (= tptp.ord_le1480771457nres_a (lambda @t280 (and @t279 @t405)))) % 0.85/1.04 (assume @p201 (= tptp.ord_less_set_a (lambda @t283 (and @t282 @t406)))) % 0.85/1.04 (assume @p202 (forall @t296 (=> @t154 @t371))) % 0.85/1.04 (assume @p203 (forall @t299 (=> @t159 @t374))) % 0.85/1.04 (assume @p204 (forall @t296 (=> @t156 (=> @t295 @t370)))) % 0.85/1.04 (assume @p205 (forall @t299 (=> @t161 (=> @t298 @t373)))) % 0.85/1.04 (assume @p206 (forall @t413 (=> @t412 (=> (not @t410) @t409)))) % 0.85/1.04 (assume @p207 (forall @t413 (=> @t412 (=> @t415 @t410)))) % 0.85/1.04 (assume @p208 (forall @t413 (=> (forall @t57 (=> (_ @t416 @t130) (_ @t416 @t407))) @t412))) % 0.85/1.04 (assume @p209 (forall (@list @t130 @t407 @t9) (=> @t412 (=> (_ @t10 @t130) (_ @t10 @t407))))) % 0.85/1.04 (assume @p210 (forall @t420 (=> @t412 @t419))) % 0.85/1.04 (assume @p211 (forall @t413 (=> @t410 (not (=> @t412 (not @t415)))))) % 0.85/1.04 (assume @p212 (forall @t413 (=> @t410 @t412))) % 0.85/1.04 (assume @p213 (forall @t413 (=> @t410 @t415))) % 0.85/1.04 (assume @p214 (= tptp.ord_less_eq_set_a (lambda @t425 (forall (@list @t422) (=> (_ @t423 @t424) (_ @t423 @t421)))))) % 0.85/1.04 (assume @p215 (forall @t131 (_ @t411 @t130))) % 0.85/1.04 (assume @p216 (forall @t136 (=> (forall @t57 (=> @t135 @t134)) @t426))) % 0.85/1.04 (assume @p217 (forall @t429 (=> @t412 (=> @t428 (_ @t411 @t427))))) % 0.85/1.04 (assume @p218 (= @t256 (lambda @t425 (and @t431 @t430)))) % 0.85/1.04 (assume @p219 (forall @t136 (= @t426 (forall @t18 (=> @t432 (_ @t132 @t16)))))) % 0.85/1.04 (assume @p220 (forall @t420 (=> @t409 @t419))) % 0.85/1.04 (assume @p221 (forall @t429 (=> @t409 @t434))) % 0.85/1.04 (assume @p222 (forall @t413 (=> @t409 (not (=> @t412 @t415))))) % 0.85/1.04 (assume @p223 (= tptp.ord_less_set_a (lambda @t425 (and @t431 (not @t435))))) % 0.85/1.04 (assume @p224 (forall @t413 (=> @t409 @t412))) % 0.85/1.04 (assume @p225 (forall @t429 (=> @t409 (=> @t428 @t433)))) % 0.85/1.04 (assume @p226 (= tptp.ord_less_set_a (lambda @t425 (and @t431 (not @t430))))) % 0.85/1.04 (assume @p227 (forall @t429 (=> @t412 @t434))) % 0.85/1.04 (assume @p228 (= tptp.ord_less_eq_set_a (lambda @t425 (or (_ (_ tptp.ord_less_set_a @t424) @t421) @t435)))) % 0.85/1.04 (assume @p229 (forall @t393 (=> @t400 (=> @t442 (=> (=> @t377 (=> @t390 @t439)) (=> (forall @t47 (=> @t398 (=> @t387 (=> @t389 @t438)))) (not (forall @t382 (=> @t381 (forall @t380 (=> @t379 (=> (= @t389 @t394) (not @t437))))))))))))) % 0.85/1.04 (assume @p230 (forall @t385 (=> @t395 (=> @t442 (=> (forall @t47 (=> @t398 (=> @t387 @t438))) (not (forall @t382 (=> @t381 (forall @t380 (=> @t379 (=> @t437 @t397))))))))))) % 0.85/1.04 (assume @p231 (forall @t385 (=> @t396 (=> @t442 (=> (=> @t377 @t439) (not (forall @t382 (=> @t381 (forall @t380 (=> @t379 (=> @t437 @t394))))))))))) % 0.85/1.04 (assume @p232 (forall @t385 (=> @t384 (=> @t446 (=> (forall @t382 (=> @t381 (forall @t380 (=> @t379 (=> @t445 @t378))))) (not (=> @t377 (forall @t47 (=> @t376 @t444))))))))) % 0.85/1.04 (assume @p233 (forall @t385 (=> @t383 (=> @t446 (=> (=> @t387 @t447) (not (forall @t382 (=> @t381 (forall @t380 (=> @t379 (=> @t445 @t386))))))))))) % 0.85/1.04 (assume @p234 (forall @t393 (=> @t392 (=> @t446 (=> (=> @t387 (=> @t389 @t447)) (=> (forall @t382 (=> @t381 (forall @t380 (=> @t379 (=> (= @t389 @t378) (not @t445)))))) (not (=> @t377 (forall @t47 (=> @t376 (=> @t390 @t444))))))))))) % 0.85/1.04 (assume @p235 (forall (@list @t21 @t115 @t449) (=> @t452 (=> @t451 (=> (forall (@list @t178) (=> (_ @t21 @t178) (=> (forall (@list @t450) (=> (_ @t21 @t450) (_ (_ tptp.ord_le519537037nres_a @t450) @t178))) (_ @t449 @t178)))) (_ @t449 @t448)))))) % 0.85/1.04 (assume @p236 (forall (@list @t453 @t118 @t455) (=> @t458 (=> @t457 (=> (forall @t23 (=> (_ @t453 @t22) (=> (forall (@list @t456) (=> (_ @t453 @t456) (_ (_ tptp.ord_less_eq_set_a @t456) @t22))) (_ @t455 @t22)))) (_ @t455 @t454)))))) % 0.85/1.04 (assume @p237 (forall (@list @t21 @t115) (=> @t452 (=> @t451 (= @t448 @t115))))) % 0.85/1.04 (assume @p238 (forall (@list @t453 @t118) (=> @t458 (=> @t457 (= @t454 @t118))))) % 0.85/1.04 (assume @p239 (forall (@list @t459 @t122) (= (_ (_ tptp.ord_less_eq_set_a @t459) @t124) (forall @t18 (=> (_ @t17 @t459) @t432))))) % 0.85/1.04 (assume @p240 (forall (@list @t461 @t460) (=> @t462 @t462))) % 0.85/1.04 (assume @p241 (forall (@list @t106 @t103 @t173 @t463) (=> @t141 (=> @t183 (=> (= @t173 @t463) (_ @t139 @t463)))))) % 0.85/1.04 (assume @p242 (forall (@list @t145 @t144 @t188 @t464) (=> @t150 (=> @t197 (=> (= @t188 @t464) (_ @t148 @t464)))))) % 0.85/1.04 (assume @p243 (forall (@list @t106 @t103 @t465 @t28) (=> @t466 (=> (=> @t466 (_ (_ @t28 @t106) @t103)) (exists @t316 (and (_ (_ tptp.member1468928819nres_a @t315) @t465) (_ (_ @t28 @t314) @t313))))))) % 0.85/1.04 (assume @p244 (forall (@list @t302 @t470 @t468 @t469 @t467) (=> (=> @t302 (_ (_ tptp.ord_le519537037nres_a @t470) @t468)) (=> (=> @t471 (_ (_ tptp.ord_le519537037nres_a @t469) @t467)) (_ (_ tptp.ord_le519537037nres_a (_ (_ @t303 @t470) @t469)) (_ (_ @t303 @t468) @t467)))))) % 0.85/1.04 (assume @p245 (forall (@list @t302 @t475 @t473 @t474 @t472) (=> (=> @t302 (_ (_ tptp.ord_less_eq_set_a @t475) @t473)) (=> (=> @t471 (_ (_ tptp.ord_less_eq_set_a @t474) @t472)) (_ (_ tptp.ord_less_eq_set_a (_ (_ @t308 @t475) @t474)) (_ (_ @t308 @t473) @t472)))))) % 0.85/1.04 (assume @p246 (forall @t267 (= (_ (_ (_ tptp.if_set_a false) @t118) @t262) @t262))) % 0.85/1.04 (assume @p247 (forall @t267 (= (_ (_ (_ tptp.if_set_a true) @t118) @t262) @t118))) % 0.85/1.04 (assume @p248 (forall (@list @t368) (or (= @t368 true) (= @t368 false)))) % 0.85/1.04 (assume @p249 (forall @t261 (= (_ (_ (_ tptp.if_Ref1724547303nres_a false) @t115) @t25) @t25))) % 0.85/1.04 (assume @p250 (forall @t261 (= (_ (_ (_ tptp.if_Ref1724547303nres_a true) @t115) @t25) @t115))) % 0.85/1.04 (assume @p251 @t480) % 0.85/1.04 (assume @p252 true) % 0.85/1.04 (step @p253 (= tptp.refine412683989fail_a @t488) :rule refl :args (@t488)) % 0.85/1.04 (step @p254 (= tptp.refine1312857699nres_a @t492) :rule refl :args (@t492)) % 0.85/1.04 (step @p255 (= tptp.ord_le519537037nres_a @t493) :rule refl :args (@t493)) % 0.85/1.04 (step @p256 (= tptp.ord_le1480771457nres_a @t494) :rule refl :args (@t494)) % 0.85/1.04 (step @p257 (= tptp.ord_less_set_a @t495) :rule refl :args (@t495)) % 0.85/1.04 (step @p258 (= tptp.bNF_Ca459084161nres_a @t502) :rule refl :args (@t502)) % 0.85/1.04 (step @p259 (= tptp.bNF_Ca953716171_set_a @t504) :rule refl :args (@t504)) % 0.85/1.04 (step @p260 (= tptp.ord_less_eq_set_a @t505) :rule refl :args (@t505)) % 0.85/1.04 (step @p261 (= tptp.chain_subset_a @t507) :rule refl :args (@t507)) % 0.85/1.04 (step @p262 :rule refl :args (@t508)) % 0.85/1.04 (step @p263 :rule refl :args (@t123)) % 0.85/1.04 (step @p264 :rule cong :premises (@p263 @p262) :args ((= @t123 @t508))) % 0.85/1.04 (step @p265 :rule symm :premises (@p264)) % 0.85/1.04 (step @p266 :rule eq_resolve :premises (@p263 @p265)) % 0.85/1.04 (step @p267 :rule refl :args ((tptp.member_a @t121 @t124))) % 0.85/1.04 (step @p268 :rule refl :args (@t509)) % 0.85/1.04 (step @p269 :rule refl :args (@t121)) % 0.85/1.04 (step @p270 :rule cong :premises (@p269 @p268) :args (@t510)) % 0.85/1.04 (step @p271 :rule trans :premises (@p270 @p267)) % 0.85/1.04 (step @p272 :rule refl :args (@t125)) % 0.85/1.04 (step @p273 :rule ho_cong :premises (@p272 @p268)) % 0.85/1.04 (step @p274 :rule cong :premises (@p273 @p271) :args ((= (_ @t125 @t509) @t510))) % 0.85/1.04 (step @p275 :rule symm :premises (@p274)) % 0.85/1.04 (step @p276 :rule refl :args (@t126)) % 0.85/1.04 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.85/1.04 (step @p278 :rule refl :args (@t124)) % 0.85/1.04 (step @p279 :rule cong :premises (@p278 @p268) :args ((= @t124 @t509))) % 0.85/1.04 (step @p280 :rule symm :premises (@p279)) % 0.85/1.04 (step @p281 :rule eq_resolve :premises (@p278 @p280)) % 0.85/1.04 (step @p282 :rule ho_cong :premises (@p272 @p281)) % 0.85/1.04 (step @p283 :rule trans :premises (@p282 @p277)) % 0.85/1.04 (step @p284 :rule cong :premises (@p283 @p266) :args (@t127)) % 0.85/1.04 (step @p285 :rule cong :premises (@p284) :args (@t129)) % 0.85/1.04 (step @p286 :rule eq_resolve :premises (@p39 @p285)) % 0.85/1.04 (step @p287 :rule eq-symm :args (@t512 @t513)) % 0.85/1.04 (step @p288 :rule refl :args (@t514)) % 0.85/1.04 (step @p289 :rule cong :premises (@p288 @p287) :args ((=> @t514 @t515))) % 0.85/1.04 (assume-push @p479 @t514) % 0.85/1.04 (step @p291 :rule instantiate :premises (@p286) :args ((@list tptp.x tptp.phi))) % 0.85/1.04 (step-pop @p480 :rule scope :premises (@p291)) % 0.85/1.04 (step @p292 :rule process_scope :premises (@p480) :args (@t515)) % 0.85/1.04 (step @p294 :rule eq_resolve :premises (@p292 @p289)) % 0.85/1.04 (step @p295 :rule implies_elim :premises (@p294)) % 0.85/1.04 (step @p296 :rule chain_m_resolution :premises (@p295 @p286) :args (@t516 @t517 (@list @t514))) % 0.85/1.04 (step @p297 :rule eq-symm :args (@t513 @t522)) % 0.85/1.04 (step @p298 :rule refl :args ((tptp.refine1001002027nres_a @t478 tptp.x))) % 0.85/1.04 (step @p299 :rule refl :args (tptp.x)) % 0.85/1.04 (step @p300 :rule refl :args ((tptp.refine1198353288_RES_a @t477))) % 0.85/1.04 (step @p301 :rule refl :args (@t511)) % 0.85/1.04 (step @p302 :rule cong :premises (@p301) :args (@t518)) % 0.85/1.04 (step @p303 :rule trans :premises (@p302 @p300)) % 0.85/1.04 (step @p304 :rule cong :premises (@p303 @p299) :args (@t519)) % 0.85/1.04 (step @p305 :rule trans :premises (@p304 @p298)) % 0.85/1.04 (step @p306 :rule refl :args (tptp.refine1001002027nres_a)) % 0.85/1.04 (step @p307 :rule ho_cong :premises (@p306 @p303)) % 0.85/1.04 (step @p308 :rule ho_cong :premises (@p307 @p299)) % 0.85/1.04 (step @p309 :rule cong :premises (@p308 @p305) :args ((= (_ (_ tptp.refine1001002027nres_a @t518) tptp.x) @t519))) % 0.85/1.04 (step @p310 :rule symm :premises (@p309)) % 0.85/1.04 (step @p311 :rule refl :args (@t524)) % 0.85/1.04 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.85/1.04 (step @p313 :rule refl :args (tptp.x)) % 0.85/1.04 (step @p314 :rule refl :args (tptp.refine1198353288_RES_a)) % 0.85/1.04 (step @p315 :rule ho_cong :premises (@p314 @p301)) % 0.85/1.04 (step @p316 :rule cong :premises (@p315 @p303) :args ((= (_ tptp.refine1198353288_RES_a @t511) @t518))) % 0.85/1.04 (step @p317 :rule symm :premises (@p316)) % 0.85/1.04 (step @p318 :rule refl :args (@t478)) % 0.85/1.04 (step @p319 :rule eq_resolve :premises (@p318 @p317)) % 0.85/1.04 (step @p320 :rule refl :args (@t477)) % 0.85/1.04 (step @p321 :rule cong :premises (@p320 @p301) :args ((= @t477 @t511))) % 0.85/1.04 (step @p322 :rule symm :premises (@p321)) % 0.85/1.04 (step @p323 :rule eq_resolve :premises (@p320 @p322)) % 0.85/1.04 (step @p324 :rule refl :args (tptp.refine1198353288_RES_a)) % 0.85/1.04 (step @p325 :rule ho_cong :premises (@p324 @p323)) % 0.85/1.04 (step @p326 :rule trans :premises (@p325 @p319)) % 0.85/1.04 (step @p327 :rule refl :args (tptp.refine1001002027nres_a)) % 0.85/1.04 (step @p328 :rule ho_cong :premises (@p327 @p326)) % 0.85/1.04 (step @p329 :rule ho_cong :premises (@p328 @p313)) % 0.85/1.04 (step @p330 :rule trans :premises (@p329 @p312)) % 0.85/1.04 (step @p331 :rule refl :args (@t521)) % 0.85/1.04 (step @p332 :rule nary_cong :premises (@p331 @p330) :args (@t525)) % 0.85/1.04 (step @p333 :rule refl :args (@t513)) % 0.85/1.04 (step @p334 :rule refl :args (@t476)) % 0.85/1.04 (step @p335 :rule cong :premises (@p334 @p333) :args ((= @t476 @t513))) % 0.85/1.04 (step @p336 :rule symm :premises (@p335)) % 0.85/1.04 (step @p337 :rule eq_resolve :premises (@p334 @p336)) % 0.85/1.04 (step @p338 :rule cong :premises (@p337 @p332) :args (@t526)) % 0.85/1.04 (step @p339 :rule trans :premises (@p338 @p297)) % 0.85/1.04 (step @p340 :rule cong :premises (@p339) :args ((not @t526))) % 0.85/1.04 (step @p341 :rule beta-reduce :args ((= (_ (lambda @t18 (and @t521 @t527)) tptp.x) @t525))) % 0.85/1.04 (step @p342 :rule refl :args (@t527)) % 0.85/1.04 (step @p343 :rule eq_resolve :premises (@p318 @p317)) % 0.85/1.04 (step @p344 :rule eq_resolve :premises (@p320 @p322)) % 0.85/1.04 (step @p345 :rule ho_cong :premises (@p314 @p344)) % 0.85/1.04 (step @p346 :rule trans :premises (@p345 @p343)) % 0.85/1.04 (step @p347 :rule refl :args (@t520)) % 0.85/1.04 (step @p348 :rule cong :premises (@p347 @p346) :args (@t528)) % 0.85/1.04 (step @p349 :rule cong :premises (@p348) :args (@t529)) % 0.85/1.04 (step @p350 :rule cong :premises (@p349) :args ((forall @t485 @t529))) % 0.85/1.04 (step @p351 :rule eq-symm :args (@t478 @t520)) % 0.85/1.04 (step @p352 :rule cong :premises (@p351) :args (@t530)) % 0.85/1.04 (step @p353 :rule cong :premises (@p352) :args (@t531)) % 0.85/1.04 (step @p354 :rule trans :premises (@p353 @p350)) % 0.85/1.04 (step @p355 :rule cong :premises (@p354) :args (@t532)) % 0.85/1.04 (step @p356 :rule nary_cong :premises (@p355 @p342) :args (@t533)) % 0.85/1.04 (step @p357 :rule cong :premises (@p356) :args (@t534)) % 0.85/1.04 (step @p358 :rule beta-reduce :args ((= @t537 @t534))) % 0.85/1.04 (step @p359 :rule trans :premises (@p358 @p357)) % 0.85/1.04 (step @p360 :rule ho_cong :premises (@p359 @p313)) % 0.85/1.04 (step @p361 :rule trans :premises (@p360 @p341)) % 0.85/1.04 (step @p362 :rule refl :args (@t476)) % 0.85/1.04 (step @p363 :rule cong :premises (@p362 @p361) :args ((= @t476 @t538))) % 0.85/1.04 (step @p364 :rule eq-symm :args (@t538 @t476)) % 0.85/1.04 (step @p365 :rule trans :premises (@p364 @p363)) % 0.85/1.04 (step @p366 :rule cong :premises (@p365) :args ((not (= @t538 @t476)))) % 0.85/1.04 (step @p367 :rule refl :args (@t478)) % 0.85/1.04 (step @p368 :rule refl :args (@t489)) % 0.85/1.04 (step @p369 :rule beta-reduce :args ((= @t539 @t535))) % 0.85/1.04 (step @p370 :rule nary_cong :premises (@p369 @p368) :args ((and @t539 @t489))) % 0.85/1.04 (step @p371 :rule refl :args (@t483)) % 0.85/1.04 (step @p372 :rule refl :args (@t520)) % 0.85/1.04 (step @p373 :rule refl :args (@t482)) % 0.85/1.04 (step @p374 :rule cong :premises (@p373 @p372) :args ((= @t482 @t520))) % 0.85/1.04 (step @p375 :rule symm :premises (@p374)) % 0.85/1.04 (step @p376 :rule eq_resolve :premises (@p373 @p375)) % 0.85/1.04 (step @p377 :rule refl :args (@t483)) % 0.85/1.04 (step @p378 :rule cong :premises (@p377 @p376) :args (@t484)) % 0.85/1.04 (step @p379 :rule cong :premises (@p378) :args (@t540)) % 0.85/1.04 (step @p380 :rule cong :premises (@p379) :args (@t541)) % 0.85/1.04 (step @p381 :rule cong :premises (@p380) :args (@t542)) % 0.85/1.04 (step @p382 :rule exists-elim :args ((= @t486 @t542))) % 0.85/1.04 (step @p383 :rule trans :premises (@p382 @p381)) % 0.85/1.04 (step @p384 :rule cong :premises (@p383) :args (@t488)) % 0.85/1.04 (step @p385 :rule trans :premises (@p253 @p384)) % 0.85/1.04 (step @p386 :rule ho_cong :premises (@p385 @p371)) % 0.85/1.04 (step @p387 :rule nary_cong :premises (@p386 @p368) :args (@t490)) % 0.85/1.04 (step @p388 :rule trans :premises (@p387 @p370)) % 0.85/1.04 (step @p389 :rule cong :premises (@p388) :args (@t492)) % 0.85/1.04 (step @p390 :rule trans :premises (@p254 @p389)) % 0.85/1.04 (step @p391 :rule ho_cong :premises (@p390 @p367)) % 0.85/1.04 (step @p392 :rule ho_cong :premises (@p391 @p313)) % 0.85/1.04 (step @p393 :rule cong :premises (@p392 @p362) :args (@t479)) % 0.85/1.04 (step @p394 :rule cong :premises (@p393) :args (@t480)) % 0.85/1.04 (step @p395 :rule trans :premises (@p394 @p366)) % 0.85/1.04 (step @p396 :rule trans :premises (@p395 @p340)) % 0.85/1.04 (step @p397 :rule eq_resolve :premises (@p251 @p396)) % 0.85/1.04 (step @p398 :rule not_equiv_elim2 :premises (@p397)) % 0.85/1.04 (step @p399 :rule refl :args ((tptp.refine1001002027nres_a @t4 @t9))) % 0.85/1.04 (step @p400 :rule refl :args (@t9)) % 0.85/1.04 (step @p401 :rule refl :args (@t543)) % 0.85/1.04 (step @p402 :rule cong :premises (@p401 @p400) :args (@t544)) % 0.85/1.04 (step @p403 :rule trans :premises (@p402 @p399)) % 0.85/1.04 (step @p404 :rule ho_cong :premises (@p306 @p401)) % 0.85/1.04 (step @p405 :rule ho_cong :premises (@p404 @p400)) % 0.85/1.04 (step @p406 :rule cong :premises (@p405 @p403) :args ((= (_ (_ tptp.refine1001002027nres_a @t543) @t9) @t544))) % 0.85/1.04 (step @p407 :rule symm :premises (@p406)) % 0.85/1.04 (step @p408 :rule refl :args (@t545)) % 0.85/1.04 (step @p409 :rule eq_resolve :premises (@p408 @p407)) % 0.85/1.04 (step @p410 :rule refl :args (@t4)) % 0.85/1.04 (step @p411 :rule cong :premises (@p410 @p401) :args ((= @t4 @t543))) % 0.85/1.04 (step @p412 :rule symm :premises (@p411)) % 0.85/1.04 (step @p413 :rule eq_resolve :premises (@p410 @p412)) % 0.85/1.04 (step @p414 :rule ho_cong :premises (@p306 @p413)) % 0.85/1.04 (step @p415 :rule ho_cong :premises (@p414 @p400)) % 0.85/1.04 (step @p416 :rule trans :premises (@p415 @p409)) % 0.85/1.04 (step @p417 :rule refl :args (@t546)) % 0.85/1.04 (step @p418 :rule nary_cong :premises (@p417 @p416) :args (@t547)) % 0.85/1.04 (step @p419 :rule refl :args (@t548)) % 0.85/1.04 (step @p420 :rule refl :args (@t11)) % 0.85/1.04 (step @p421 :rule cong :premises (@p420 @p419) :args ((= @t11 @t548))) % 0.85/1.04 (step @p422 :rule symm :premises (@p421)) % 0.85/1.04 (step @p423 :rule eq_resolve :premises (@p420 @p422)) % 0.85/1.04 (step @p424 :rule cong :premises (@p423 @p418) :args (@t549)) % 0.85/1.04 (step @p425 :rule cong :premises (@p424) :args ((forall @t13 @t549))) % 0.85/1.04 (step @p426 :rule beta-reduce :args ((= (_ (lambda @t18 (and @t546 @t550)) @t9) @t547))) % 0.85/1.04 (step @p427 :rule refl :args (@t9)) % 0.85/1.04 (step @p428 :rule refl :args (@t550)) % 0.85/1.04 (step @p429 :rule eq-symm :args (@t543 @t520)) % 0.85/1.04 (step @p430 :rule cong :premises (@p429) :args (@t551)) % 0.85/1.04 (step @p431 :rule cong :premises (@p430) :args ((forall @t485 @t551))) % 0.85/1.04 (step @p432 :rule cong :premises (@p413 @p347) :args (@t552)) % 0.85/1.04 (step @p433 :rule cong :premises (@p432) :args (@t553)) % 0.85/1.04 (step @p434 :rule cong :premises (@p433) :args (@t554)) % 0.85/1.04 (step @p435 :rule trans :premises (@p434 @p431)) % 0.85/1.04 (step @p436 :rule cong :premises (@p435) :args (@t555)) % 0.85/1.04 (step @p437 :rule nary_cong :premises (@p436 @p428) :args (@t556)) % 0.85/1.04 (step @p438 :rule cong :premises (@p437) :args (@t557)) % 0.85/1.04 (step @p439 :rule beta-reduce :args ((= @t558 @t557))) % 0.85/1.04 (step @p440 :rule trans :premises (@p439 @p438)) % 0.85/1.04 (step @p441 :rule ho_cong :premises (@p440 @p427)) % 0.85/1.04 (step @p442 :rule trans :premises (@p441 @p426)) % 0.85/1.04 (step @p443 :rule refl :args (@t11)) % 0.85/1.04 (step @p444 :rule cong :premises (@p443 @p442) :args ((= @t11 @t559))) % 0.85/1.04 (step @p445 :rule eq-symm :args (@t559 @t11)) % 0.85/1.04 (step @p446 :rule trans :premises (@p445 @p444)) % 0.85/1.04 (step @p447 :rule cong :premises (@p446) :args ((forall @t13 (= @t559 @t11)))) % 0.85/1.04 (step @p448 :rule trans :premises (@p447 @p425)) % 0.85/1.04 (step @p449 :rule refl :args (@t4)) % 0.85/1.04 (step @p450 :rule ho_cong :premises (@p390 @p449)) % 0.85/1.04 (step @p451 :rule ho_cong :premises (@p450 @p427)) % 0.85/1.04 (step @p452 :rule cong :premises (@p451 @p443) :args (@t12)) % 0.85/1.04 (step @p453 :rule cong :premises (@p452) :args (@t14)) % 0.85/1.04 (step @p454 :rule trans :premises (@p453 @p448)) % 0.85/1.04 (step @p455 :rule eq_resolve :premises (@p3 @p454)) % 0.85/1.04 (step @p456 :rule eq-symm :args (@t512 @t522)) % 0.85/1.04 (step @p457 :rule refl :args (@t560)) % 0.85/1.04 (step @p458 :rule cong :premises (@p457 @p456) :args ((=> @t560 @t561))) % 0.85/1.04 (assume-push @p481 @t560) % 0.85/1.04 (step @p460 :rule instantiate :premises (@p455) :args ((@list @t511 tptp.x))) % 0.85/1.04 (step-pop @p482 :rule scope :premises (@p460)) % 0.85/1.04 (step @p461 :rule process_scope :premises (@p482) :args (@t561)) % 0.85/1.04 (step @p463 :rule eq_resolve :premises (@p461 @p458)) % 0.85/1.04 (step @p464 :rule implies_elim :premises (@p463)) % 0.85/1.04 (step @p465 :rule chain_m_resolution :premises (@p464 @p455) :args (@t562 @t517 (@list @t560))) % 0.85/1.04 (step @p466 :rule cnf_equiv_pos1 :args (@t562)) % 0.85/1.04 (step @p467 :rule reordering :premises (@p466) :args ((or @t564 @t512 @t563))) % 0.85/1.04 (step @p468 :rule cnf_equiv_pos2 :args (@t516)) % 0.85/1.04 (step @p469 :rule reordering :premises (@p468) :args ((or @t513 @t566 @t565))) % 0.85/1.04 (step @p470 :rule chain_m_resolution :premises (@p469 @p296 @p467 @p465 @p398) :args (@t564 (@list false false false true) (@list @t516 @t512 @t562 @t513))) % 0.85/1.04 (step @p471 :rule not_equiv_elim1 :premises (@p397)) % 0.85/1.04 (step @p472 :rule chain_m_resolution :premises (@p471 @p470) :args (@t513 (@list true) (@list @t522))) % 0.85/1.04 (step @p473 :rule cnf_equiv_pos2 :args (@t562)) % 0.85/1.04 (step @p474 :rule reordering :premises (@p473) :args ((or @t522 @t566 @t563))) % 0.85/1.04 (step @p475 :rule chain_m_resolution :premises (@p474 @p470 @p465) :args (@t566 (@list true false) (@list @t522 @t562))) % 0.85/1.04 (step @p476 :rule cnf_equiv_pos1 :args (@t516)) % 0.85/1.04 (step @p477 :rule reordering :premises (@p476) :args ((or (not @t513) @t512 @t565))) % 0.85/1.04 (step @p478 false :rule chain_m_resolution :premises (@p477 @p475 @p472 @p296) :args (false (@list true false false) (@list @t512 @t513 @t516))) % 0.85/1.04 ) % 0.85/1.04 % SZS output end Proof % 0.85/1.04 % cvc5 exiting %------------------------------------------------------------------------------