%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP106^1 : 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 : n024.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 08:25:04 AM UTC 2026 % Result : Theorem 0.35s 0.55s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ITP106^1 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n024.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Mon Jun 1 23:14:15 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.39 %----Proving TH0 % 0.35/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.55 % SZS status Theorem % 0.35/0.55 % SZS output start Proof % 0.35/0.55 ( % 0.35/0.55 (declare-sort tptp.nat 0) % 0.35/0.55 (declare-sort tptp.int 0) % 0.35/0.55 (declare-sort tptp.partia1833973666xt_a_b 0) % 0.35/0.55 (declare-sort tptp.partia96731725t_unit 0) % 0.35/0.55 (declare-sort tptp.a 0) % 0.35/0.55 (declare-sort tptp.b 0) % 0.35/0.55 (declare-sort tptp.set_a 0) % 0.35/0.55 (declare-sort tptp.product_prod_a_a 0) % 0.35/0.55 (declare-sort tptp.set_Product_prod_a_a 0) % 0.35/0.55 (declare-sort tptp.partia1993116613t_unit 0) % 0.35/0.55 (declare-const tptp.a_inv_a_b (-> tptp.partia1833973666xt_a_b tptp.a tptp.a)) % 0.35/0.55 (declare-const tptp.add_a_b (-> tptp.partia1833973666xt_a_b tptp.a tptp.a tptp.a)) % 0.35/0.55 (declare-const tptp.uminus_uminus_int (-> tptp.int tptp.int)) % 0.35/0.55 (declare-const tptp.plus_plus_int (-> tptp.int tptp.int tptp.int)) % 0.35/0.55 (declare-const tptp.semiri1382578993at_nat (-> tptp.nat tptp.nat)) % 0.35/0.55 (declare-const tptp.semiri2019852685at_int (-> tptp.nat tptp.int)) % 0.35/0.55 (declare-const tptp.units_873712258t_unit (-> tptp.partia96731725t_unit tptp.partia96731725t_unit)) % 0.35/0.55 (declare-const tptp.units_1411277569xt_a_b (-> tptp.partia1833973666xt_a_b tptp.partia96731725t_unit)) % 0.35/0.55 (declare-const tptp.mult_a_Product_unit (-> tptp.partia96731725t_unit tptp.a tptp.a tptp.a)) % 0.35/0.55 (declare-const tptp.one_a_Product_unit (-> tptp.partia96731725t_unit tptp.a)) % 0.35/0.55 (declare-const tptp.comm_g791708116xt_a_b (-> tptp.partia1833973666xt_a_b Bool)) % 0.35/0.55 (declare-const tptp.s tptp.a) % 0.35/0.55 (declare-const tptp.r3 tptp.a) % 0.35/0.55 (declare-const tptp.group_a_Product_unit (-> tptp.partia96731725t_unit Bool)) % 0.35/0.55 (declare-const tptp.s2 tptp.a) % 0.35/0.55 (declare-const tptp.partia1955795460t_unit (-> tptp.partia96731725t_unit tptp.set_a)) % 0.35/0.55 (declare-const tptp.member449909584od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a Bool)) % 0.35/0.55 (declare-const tptp.comm_g1684316527t_unit (-> tptp.partia96731725t_unit Bool)) % 0.35/0.55 (declare-const tptp.r4 tptp.a) % 0.35/0.55 (declare-const tptp.group_a_ring_ext_a_b (-> tptp.partia1833973666xt_a_b Bool)) % 0.35/0.55 (declare-const tptp.s3 tptp.a) % 0.35/0.55 (declare-const tptp.units_a_ring_ext_a_b (-> tptp.partia1833973666xt_a_b tptp.set_a)) % 0.35/0.55 (declare-const tptp.r2 tptp.a) % 0.35/0.55 (declare-const tptp.product_Pair_a_a (-> tptp.a tptp.a tptp.product_prod_a_a)) % 0.35/0.55 (declare-const tptp.rel tptp.partia1993116613t_unit) % 0.35/0.55 (declare-const tptp.mult_a_ring_ext_a_b (-> tptp.partia1833973666xt_a_b tptp.a tptp.a tptp.a)) % 0.35/0.55 (declare-const tptp.add_pow_a_b_int (-> tptp.partia1833973666xt_a_b tptp.int tptp.a tptp.a)) % 0.35/0.55 (declare-const tptp.units_a_Product_unit (-> tptp.partia96731725t_unit tptp.set_a)) % 0.35/0.55 (declare-const tptp.r tptp.partia1833973666xt_a_b) % 0.35/0.55 (declare-const tptp.partia1066395285xt_a_b (-> tptp.partia1833973666xt_a_b tptp.set_a)) % 0.35/0.55 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.35/0.55 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.35/0.55 (declare-const tptp.zero_a_b (-> tptp.partia1833973666xt_a_b tptp.a)) % 0.35/0.55 (declare-const tptp.semiring_a_b (-> tptp.partia1833973666xt_a_b Bool)) % 0.35/0.55 (declare-const tptp.collec645855634od_a_a (-> (-> tptp.product_prod_a_a Bool) tptp.set_Product_prod_a_a)) % 0.35/0.55 (declare-const tptp.partia206007992t_unit (-> tptp.partia1993116613t_unit tptp.set_Product_prod_a_a)) % 0.35/0.55 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.35/0.55 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.35/0.55 (declare-const tptp.one_a_ring_ext_a_b (-> tptp.partia1833973666xt_a_b tptp.a)) % 0.35/0.55 (declare-const tptp.field_a_b (-> tptp.partia1833973666xt_a_b Bool)) % 0.35/0.55 (declare-const tptp.add_pow_a_b_nat (-> tptp.partia1833973666xt_a_b tptp.nat tptp.a tptp.a)) % 0.35/0.55 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.35/0.55 (declare-const tptp.abelian_group_a_b (-> tptp.partia1833973666xt_a_b Bool)) % 0.35/0.55 (declare-const tptp.more_a_b (-> tptp.partia1833973666xt_a_b tptp.b)) % 0.35/0.55 (define tptp.a_minus_a_b () (let ((_let_1 (@var "Y5" tptp.a))) (let ((_let_2 (@var "R4" tptp.partia1833973666xt_a_b))) (let ((_let_3 (@var "X4" tptp.a))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.add_a_b _let_2) _let_3) (_ (_ tptp.a_inv_a_b _let_2) _let_1))))))) % 0.35/0.55 (define tptp.minus_minus_int () (let ((_let_1 (@var "B4" tptp.int))) (let ((_let_2 (@var "A5" tptp.int))) (lambda (@list _let_2 _let_1) (_ (_ tptp.plus_plus_int _let_2) (_ tptp.uminus_uminus_int _let_1)))))) % 0.35/0.55 (define @t1 () (@var "B" tptp.a)) % 0.35/0.55 (define @t2 () (@var "C" tptp.a)) % 0.35/0.55 (define @t3 () (_ tptp.add_a_b tptp.r)) % 0.35/0.55 (define @t4 () (_ @t3 @t2)) % 0.35/0.55 (define @t5 () (@var "A" tptp.a)) % 0.35/0.55 (define @t6 () (= @t5 @t1)) % 0.35/0.55 (define @t7 () (@list @t5 @t1 @t2)) % 0.35/0.55 (define @t8 () (_ tptp.partia206007992t_unit tptp.rel)) % 0.35/0.55 (define @t9 () (@var "S2" tptp.a)) % 0.35/0.55 (define @t10 () (@var "S" tptp.a)) % 0.35/0.55 (define @t11 () (_ tptp.mult_a_ring_ext_a_b tptp.r)) % 0.35/0.55 (define @t12 () (_ @t11 @t10)) % 0.35/0.55 (define @t13 () (_ @t12 @t9)) % 0.35/0.55 (define @t14 () (@var "R2" tptp.a)) % 0.35/0.55 (define @t15 () (_ @t12 @t14)) % 0.35/0.55 (define @t16 () (@var "R" tptp.a)) % 0.35/0.55 (define @t17 () (_ (_ @t11 @t9) @t16)) % 0.35/0.55 (define @t18 () (_ (_ @t3 @t17) @t15)) % 0.35/0.55 (define @t19 () (_ (_ tptp.product_Pair_a_a @t18) @t13)) % 0.35/0.55 (define @t20 () (_ (_ tptp.member449909584od_a_a @t19) @t8)) % 0.35/0.55 (define @t21 () (_ (_ tptp.product_Pair_a_a @t14) @t9)) % 0.35/0.55 (define @t22 () (_ (_ tptp.member449909584od_a_a @t21) @t8)) % 0.35/0.55 (define @t23 () (=> @t22 @t20)) % 0.35/0.55 (define @t24 () (_ (_ tptp.product_Pair_a_a @t16) @t10)) % 0.35/0.55 (define @t25 () (_ (_ tptp.member449909584od_a_a @t24) @t8)) % 0.35/0.55 (define @t26 () (@list @t16 @t10 @t14 @t9)) % 0.35/0.55 (define @t27 () (forall @t26 (=> @t25 @t23))) % 0.35/0.55 (define @t28 () (_ @t11 tptp.s3)) % 0.35/0.55 (define @t29 () (_ @t11 tptp.s)) % 0.35/0.55 (define @t30 () (_ @t11 tptp.s2)) % 0.35/0.55 (define @t31 () (_ @t30 tptp.s3)) % 0.35/0.55 (define @t32 () (_ @t29 tptp.s3)) % 0.35/0.55 (define @t33 () (_ @t11 @t32)) % 0.35/0.55 (define @t34 () (_ @t33 @t31)) % 0.35/0.55 (define @t35 () (_ @t11 (_ @t29 tptp.s2))) % 0.35/0.55 (define @t36 () (_ (_ @t11 tptp.r3) tptp.r4)) % 0.35/0.55 (define @t37 () (_ @t33 @t36)) % 0.35/0.55 (define @t38 () (_ @t35 tptp.s3)) % 0.35/0.55 (define @t39 () (_ @t11 @t38)) % 0.35/0.55 (define @t40 () (_ @t39 @t37)) % 0.35/0.55 (define @t41 () (_ @t29 tptp.r3)) % 0.35/0.55 (define @t42 () (_ (_ @t11 @t41) tptp.r4)) % 0.35/0.55 (define @t43 () (_ @t11 @t34)) % 0.35/0.55 (define @t44 () (_ @t43 @t42)) % 0.35/0.55 (define @t45 () (_ (_ @t11 tptp.r2) tptp.r4)) % 0.35/0.55 (define @t46 () (_ (_ @t11 @t31) @t45)) % 0.35/0.55 (define @t47 () (_ @t39 @t46)) % 0.35/0.55 (define @t48 () (_ @t30 tptp.r2)) % 0.35/0.55 (define @t49 () (_ (_ @t11 @t48) tptp.r4)) % 0.35/0.55 (define @t50 () (_ @t43 @t49)) % 0.35/0.55 (define @t51 () (_ (_ tptp.product_Pair_a_a @t36) @t31)) % 0.35/0.55 (define @t52 () (_ (_ tptp.member449909584od_a_a @t51) @t8)) % 0.35/0.55 (define @t53 () (_ (_ tptp.product_Pair_a_a @t45) @t32)) % 0.35/0.55 (define @t54 () (_ (_ tptp.member449909584od_a_a @t53) @t8)) % 0.35/0.55 (define @t55 () (_ (_ @t11 (_ (_ @t3 @t48) @t41)) tptp.r4)) % 0.35/0.55 (define @t56 () (_ @t43 @t55)) % 0.35/0.55 (define @t57 () (_ (_ @t3 @t46) @t37)) % 0.35/0.55 (define @t58 () (_ @t39 @t57)) % 0.35/0.55 (define @t59 () (@var "Z" tptp.a)) % 0.35/0.55 (define @t60 () (@var "Y" tptp.a)) % 0.35/0.55 (define @t61 () (_ @t11 @t60)) % 0.35/0.55 (define @t62 () (_ @t61 @t59)) % 0.35/0.55 (define @t63 () (@var "X" tptp.a)) % 0.35/0.55 (define @t64 () (_ @t11 @t63)) % 0.35/0.55 (define @t65 () (_ @t64 @t59)) % 0.35/0.55 (define @t66 () (_ @t3 @t63)) % 0.35/0.55 (define @t67 () (_ @t66 @t60)) % 0.35/0.55 (define @t68 () (_ tptp.partia1066395285xt_a_b tptp.r)) % 0.35/0.55 (define @t69 () (_ tptp.member_a @t59)) % 0.35/0.55 (define @t70 () (_ @t69 @t68)) % 0.35/0.55 (define @t71 () (_ tptp.member_a @t60)) % 0.35/0.55 (define @t72 () (_ @t71 @t68)) % 0.35/0.55 (define @t73 () (_ tptp.member_a @t63)) % 0.35/0.55 (define @t74 () (_ @t73 @t68)) % 0.35/0.55 (define @t75 () (@list @t63 @t60 @t59)) % 0.35/0.55 (define @t76 () (_ @t11 @t59)) % 0.35/0.55 (define @t77 () (_ tptp.zero_a_b tptp.r)) % 0.35/0.55 (define @t78 () (_ tptp.a_minus_a_b tptp.r)) % 0.35/0.55 (define @t79 () (_ (_ @t78 @t56) @t58)) % 0.35/0.55 (define @t80 () (@var "Y2" tptp.a)) % 0.35/0.55 (define @t81 () (@var "X2" tptp.a)) % 0.35/0.55 (define @t82 () (@var "Y1" tptp.a)) % 0.35/0.55 (define @t83 () (@var "X1" tptp.a)) % 0.35/0.55 (define @t84 () (@var "B2" tptp.a)) % 0.35/0.55 (define @t85 () (= @t1 @t84)) % 0.35/0.55 (define @t86 () (@var "A2" tptp.a)) % 0.35/0.55 (define @t87 () (= @t5 @t86)) % 0.35/0.55 (define @t88 () (= (_ (_ tptp.product_Pair_a_a @t5) @t1) (_ (_ tptp.product_Pair_a_a @t86) @t84))) % 0.35/0.55 (define @t89 () (@list @t5 @t1 @t86 @t84)) % 0.35/0.55 (define @t90 () (_ @t64 @t62)) % 0.35/0.55 (define @t91 () (_ @t64 @t60)) % 0.35/0.55 (define @t92 () (_ @t61 @t63)) % 0.35/0.55 (define @t93 () (@list @t63 @t60)) % 0.35/0.55 (define @t94 () (_ @t3 @t60)) % 0.35/0.55 (define @t95 () (_ @t66 (_ @t94 @t59))) % 0.35/0.55 (define @t96 () (_ @t94 @t63)) % 0.35/0.55 (define @t97 () (= @t67 @t96)) % 0.35/0.55 (define @t98 () (_ @t78 @t2)) % 0.35/0.55 (define @t99 () (_ @t98 @t5)) % 0.35/0.55 (define @t100 () (@var "Y3" tptp.a)) % 0.35/0.55 (define @t101 () (=> @t74 (=> @t72 (=> (_ (_ tptp.member_a @t100) @t68) (= @t60 @t100))))) % 0.35/0.55 (define @t102 () (= @t96 @t77)) % 0.35/0.55 (define @t103 () (@list @t60 @t63 @t100)) % 0.35/0.55 (define @t104 () (@var "X3" tptp.a)) % 0.35/0.55 (define @t105 () (_ tptp.member_a @t104)) % 0.35/0.55 (define @t106 () (_ @t105 @t68)) % 0.35/0.55 (define @t107 () (@list @t104)) % 0.35/0.55 (define @t108 () (@list @t63)) % 0.35/0.55 (define @t109 () (@var "U" tptp.a)) % 0.35/0.55 (define @t110 () (_ (_ tptp.member_a @t109) @t68)) % 0.35/0.55 (define @t111 () (@list @t109)) % 0.35/0.55 (define @t112 () (= @t67 @t77)) % 0.35/0.55 (define @t113 () (_ @t3 @t5)) % 0.35/0.55 (define @t114 () (_ @t113 @t1)) % 0.35/0.55 (define @t115 () (_ tptp.member_a @t2)) % 0.35/0.55 (define @t116 () (_ @t115 @t68)) % 0.35/0.55 (define @t117 () (_ tptp.member_a @t1)) % 0.35/0.55 (define @t118 () (_ @t117 @t68)) % 0.35/0.55 (define @t119 () (_ tptp.member_a @t5)) % 0.35/0.55 (define @t120 () (_ @t119 @t68)) % 0.35/0.55 (define @t121 () (@var "D" tptp.a)) % 0.35/0.55 (define @t122 () (_ tptp.member_a @t121)) % 0.35/0.55 (define @t123 () (= @t60 @t59)) % 0.35/0.55 (define @t124 () (_ tptp.member_a @t91)) % 0.35/0.55 (define @t125 () (_ (_ @t78 @t63) @t60)) % 0.35/0.55 (define @t126 () (= @t5 @t77)) % 0.35/0.55 (define @t127 () (_ @t113 @t63)) % 0.35/0.55 (define @t128 () (@list @t63 @t5)) % 0.35/0.55 (define @t129 () (@var "A" tptp.product_prod_a_a)) % 0.35/0.55 (define @t130 () (@var "P" (-> tptp.product_prod_a_a Bool))) % 0.35/0.55 (define @t131 () (_ tptp.collec645855634od_a_a @t130)) % 0.35/0.55 (define @t132 () (@var "P" (-> tptp.a Bool))) % 0.35/0.55 (define @t133 () (_ tptp.collect_a @t132)) % 0.35/0.55 (define @t134 () (@var "A3" tptp.set_Product_prod_a_a)) % 0.35/0.55 (define @t135 () (@var "X4" tptp.product_prod_a_a)) % 0.35/0.55 (define @t136 () (@var "A3" tptp.set_a)) % 0.35/0.55 (define @t137 () (@var "X4" tptp.a)) % 0.35/0.55 (define @t138 () (@var "Q" (-> tptp.a Bool))) % 0.35/0.55 (define @t139 () (@var "Q" (-> tptp.product_prod_a_a Bool))) % 0.35/0.55 (define @t140 () (@var "X3" tptp.product_prod_a_a)) % 0.35/0.55 (define @t141 () (_ @t66 @t5)) % 0.35/0.55 (define @t142 () (@var "Prod" tptp.product_prod_a_a)) % 0.35/0.55 (define @t143 () (@var "B3" tptp.a)) % 0.35/0.55 (define @t144 () (@var "A4" tptp.a)) % 0.35/0.55 (define @t145 () (_ (_ tptp.product_Pair_a_a @t144) @t143)) % 0.35/0.55 (define @t146 () (@list @t144 @t143)) % 0.35/0.55 (define @t147 () (forall @t146 (_ @t130 @t145))) % 0.35/0.55 (define @t148 () (@var "Y" tptp.product_prod_a_a)) % 0.35/0.55 (define @t149 () (@var "P2" tptp.product_prod_a_a)) % 0.35/0.55 (define @t150 () (@var "Y4" tptp.a)) % 0.35/0.55 (define @t151 () (_ tptp.one_a_ring_ext_a_b tptp.r)) % 0.35/0.55 (define @t152 () (_ @t11 @t151)) % 0.35/0.55 (define @t153 () (@var "R3" tptp.partia1833973666xt_a_b)) % 0.35/0.55 (define @t154 () (_ tptp.zero_a_b @t153)) % 0.35/0.55 (define @t155 () (_ tptp.add_a_b @t153)) % 0.35/0.55 (define @t156 () (_ @t155 @t63)) % 0.35/0.55 (define @t157 () (_ tptp.partia1066395285xt_a_b @t153)) % 0.35/0.55 (define @t158 () (_ @t73 @t157)) % 0.35/0.55 (define @t159 () (_ tptp.semiring_a_b @t153)) % 0.35/0.55 (define @t160 () (@list @t153 @t63)) % 0.35/0.55 (define @t161 () (_ @t155 @t154)) % 0.35/0.55 (define @t162 () (=> @t158 (= (_ @t161 @t63) @t63))) % 0.35/0.55 (define @t163 () (_ tptp.mult_a_ring_ext_a_b @t153)) % 0.35/0.55 (define @t164 () (_ @t163 @t63)) % 0.35/0.55 (define @t165 () (_ @t163 @t59)) % 0.35/0.55 (define @t166 () (_ @t156 @t60)) % 0.35/0.55 (define @t167 () (_ @t69 @t157)) % 0.35/0.55 (define @t168 () (_ @t71 @t157)) % 0.35/0.55 (define @t169 () (@list @t153 @t63 @t60 @t59)) % 0.35/0.55 (define @t170 () (_ (_ @t163 @t60) @t59)) % 0.35/0.55 (define @t171 () (_ @t11 @t5)) % 0.35/0.55 (define @t172 () (_ @t171 @t1)) % 0.35/0.55 (define @t173 () (@var "K" tptp.int)) % 0.35/0.55 (define @t174 () (_ tptp.add_pow_a_b_int tptp.r)) % 0.35/0.55 (define @t175 () (_ @t174 @t173)) % 0.35/0.55 (define @t176 () (_ @t175 @t172)) % 0.35/0.55 (define @t177 () (@list @t5 @t1 @t173)) % 0.35/0.55 (define @t178 () (= @t92 @t151)) % 0.35/0.55 (define @t179 () (@var "I" tptp.int)) % 0.35/0.55 (define @t180 () (_ @t174 @t179)) % 0.35/0.55 (define @t181 () (_ @t180 @t63)) % 0.35/0.55 (define @t182 () (_ @t3 @t181)) % 0.35/0.55 (define @t183 () (=> @t74 (=> @t72 (= (_ @t180 @t67) (_ @t182 (_ @t180 @t60)))))) % 0.35/0.55 (define @t184 () (@list @t63 @t60 @t179)) % 0.35/0.55 (define @t185 () (_ tptp.member_a @t151)) % 0.35/0.55 (define @t186 () (@list @t63 @t179)) % 0.35/0.55 (define @t187 () (@var "Z" tptp.int)) % 0.35/0.55 (define @t188 () (_ tptp.one_a_ring_ext_a_b @t153)) % 0.35/0.55 (define @t189 () (@list @t153)) % 0.35/0.55 (define @t190 () (_ @t164 @t60)) % 0.35/0.55 (define @t191 () (@list @t153 @t63 @t60)) % 0.35/0.55 (define @t192 () (=> @t158 (=> @t168 (_ (_ tptp.member_a @t166) @t157)))) % 0.35/0.55 (define @t193 () (_ @t155 @t60)) % 0.35/0.55 (define @t194 () (_ @t156 (_ @t193 @t59))) % 0.35/0.55 (define @t195 () (=> @t158 (=> @t168 (=> @t167 (= (_ (_ @t155 @t166) @t59) @t194))))) % 0.35/0.55 (define @t196 () (=> @t158 (=> @t168 (= @t166 (_ @t193 @t63))))) % 0.35/0.55 (define @t197 () (_ (_ tptp.member_a @t154) @t157)) % 0.35/0.55 (define @t198 () (@var "X5" tptp.a)) % 0.35/0.55 (define @t199 () (@var "J" tptp.int)) % 0.35/0.55 (define @t200 () (_ tptp.plus_plus_int @t179)) % 0.35/0.55 (define @t201 () (@var "K" tptp.nat)) % 0.35/0.55 (define @t202 () (_ tptp.add_pow_a_b_nat tptp.r)) % 0.35/0.55 (define @t203 () (_ @t202 @t201)) % 0.35/0.55 (define @t204 () (_ @t203 @t172)) % 0.35/0.55 (define @t205 () (@list @t5 @t1 @t201)) % 0.35/0.55 (define @t206 () (@var "N" tptp.nat)) % 0.35/0.55 (define @t207 () (_ @t202 @t206)) % 0.35/0.55 (define @t208 () (_ @t207 @t63)) % 0.35/0.55 (define @t209 () (_ @t3 @t208)) % 0.35/0.55 (define @t210 () (@list @t63 @t60 @t206)) % 0.35/0.55 (define @t211 () (=> @t74 (=> @t72 (= (_ @t207 @t67) (_ @t209 (_ @t207 @t60)))))) % 0.35/0.55 (define @t212 () (@var "M" tptp.nat)) % 0.35/0.55 (define @t213 () (_ (_ @t202 @t212) @t63)) % 0.35/0.55 (define @t214 () (_ @t209 @t213)) % 0.35/0.55 (define @t215 () (@list @t63 @t206 @t212)) % 0.35/0.55 (define @t216 () (@list @t63 @t206)) % 0.35/0.55 (define @t217 () (@list @t206)) % 0.35/0.55 (define @t218 () (_ tptp.field_a_b @t153)) % 0.35/0.55 (define @t219 () (_ @t117 @t157)) % 0.35/0.55 (define @t220 () (_ @t119 @t157)) % 0.35/0.55 (define @t221 () (_ @t163 @t5)) % 0.35/0.55 (define @t222 () (_ @t221 @t1)) % 0.35/0.55 (define @t223 () (_ (_ tptp.add_pow_a_b_nat @t153) @t201)) % 0.35/0.55 (define @t224 () (_ @t223 @t222)) % 0.35/0.55 (define @t225 () (@list @t153 @t5 @t1 @t201)) % 0.35/0.55 (define @t226 () (_ tptp.plus_plus_nat @t206)) % 0.35/0.55 (define @t227 () (_ @t226 @t212)) % 0.35/0.55 (define @t228 () (_ tptp.suc @t206)) % 0.35/0.55 (define @t229 () (_ (_ @t202 @t228) @t63)) % 0.35/0.55 (define @t230 () (_ (_ tptp.minus_minus_nat @t212) @t206)) % 0.35/0.55 (define @t231 () (= @t63 @t60)) % 0.35/0.55 (define @t232 () (_ tptp.abelian_group_a_b tptp.r)) % 0.35/0.55 (define @t233 () (@var "R2" tptp.partia1833973666xt_a_b)) % 0.35/0.55 (define @t234 () (@var "R" tptp.partia1833973666xt_a_b)) % 0.35/0.55 (define @t235 () (_ tptp.abelian_group_a_b @t153)) % 0.35/0.55 (define @t236 () (@var "G" tptp.partia1833973666xt_a_b)) % 0.35/0.55 (define @t237 () (_ tptp.partia1066395285xt_a_b @t236)) % 0.35/0.55 (define @t238 () (_ tptp.a_minus_a_b @t236)) % 0.35/0.55 (define @t239 () (_ (_ @t238 @t63) @t60)) % 0.35/0.55 (define @t240 () (_ @t71 @t237)) % 0.35/0.55 (define @t241 () (_ @t73 @t237)) % 0.35/0.55 (define @t242 () (_ tptp.abelian_group_a_b @t236)) % 0.35/0.55 (define @t243 () (@list @t236 @t63 @t60)) % 0.35/0.55 (define @t244 () (@var "Xa" tptp.a)) % 0.35/0.55 (define @t245 () (_ tptp.member_a @t244)) % 0.35/0.55 (define @t246 () (@list @t244)) % 0.35/0.55 (define @t247 () (_ @t105 @t157)) % 0.35/0.55 (define @t248 () (_ @t155 @t150)) % 0.35/0.55 (define @t249 () (_ @t155 @t104)) % 0.35/0.55 (define @t250 () (_ @t249 @t150)) % 0.35/0.55 (define @t251 () (_ tptp.member_a @t150)) % 0.35/0.55 (define @t252 () (_ @t251 @t157)) % 0.35/0.55 (define @t253 () (@list @t150)) % 0.35/0.55 (define @t254 () (@var "Z2" tptp.a)) % 0.35/0.55 (define @t255 () (_ tptp.member_a @t254)) % 0.35/0.55 (define @t256 () (@list @t254)) % 0.35/0.55 (define @t257 () (_ tptp.add_a_b @t236)) % 0.35/0.55 (define @t258 () (_ (_ @t257 @t5) @t1)) % 0.35/0.55 (define @t259 () (_ @t115 @t237)) % 0.35/0.55 (define @t260 () (_ @t117 @t237)) % 0.35/0.55 (define @t261 () (_ @t119 @t237)) % 0.35/0.55 (define @t262 () (_ @t238 @t2)) % 0.35/0.55 (define @t263 () (_ tptp.zero_a_b @t236)) % 0.35/0.55 (define @t264 () (@var "J" tptp.nat)) % 0.35/0.55 (define @t265 () (_ tptp.plus_plus_nat @t264)) % 0.35/0.55 (define @t266 () (@var "I" tptp.nat)) % 0.35/0.55 (define @t267 () (_ tptp.minus_minus_nat @t266)) % 0.35/0.55 (define @t268 () (_ (_ tptp.minus_minus_nat (_ @t267 @t264)) @t201)) % 0.35/0.55 (define @t269 () (@list @t266 @t264 @t201)) % 0.35/0.55 (define @t270 () (_ tptp.suc @t212)) % 0.35/0.55 (define @t271 () (_ tptp.minus_minus_nat @t270)) % 0.35/0.55 (define @t272 () (@list @t212 @t206)) % 0.35/0.55 (define @t273 () (_ tptp.plus_plus_nat @t212)) % 0.35/0.55 (define @t274 () (_ @t273 @t206)) % 0.35/0.55 (define @t275 () (_ tptp.suc @t274)) % 0.35/0.55 (define @t276 () (_ @t273 @t228)) % 0.35/0.55 (define @t277 () (@var "Y2" tptp.nat)) % 0.35/0.55 (define @t278 () (@var "X2" tptp.nat)) % 0.35/0.55 (define @t279 () (@var "Nat2" tptp.nat)) % 0.35/0.55 (define @t280 () (@var "Nat" tptp.nat)) % 0.35/0.55 (define @t281 () (@var "Y" tptp.nat)) % 0.35/0.55 (define @t282 () (@var "X" tptp.nat)) % 0.35/0.55 (define @t283 () (_ (_ tptp.plus_plus_nat @t270) @t206)) % 0.35/0.55 (define @t284 () (@var "A" tptp.nat)) % 0.35/0.55 (define @t285 () (_ tptp.plus_plus_nat @t201)) % 0.35/0.55 (define @t286 () (@var "A3" tptp.nat)) % 0.35/0.55 (define @t287 () (= @t286 (_ @t285 @t284))) % 0.35/0.55 (define @t288 () (@var "P" (-> tptp.nat Bool))) % 0.35/0.55 (define @t289 () (@var "N2" tptp.nat)) % 0.35/0.55 (define @t290 () (@var "B" tptp.nat)) % 0.35/0.55 (define @t291 () (_ tptp.plus_plus_nat @t284)) % 0.35/0.55 (define @t292 () (_ @t291 @t290)) % 0.35/0.55 (define @t293 () (_ tptp.minus_minus_nat @t292)) % 0.35/0.55 (define @t294 () (@list @t284 @t290)) % 0.35/0.55 (define @t295 () (@var "A" tptp.int)) % 0.35/0.55 (define @t296 () (@var "B" tptp.int)) % 0.35/0.55 (define @t297 () (_ tptp.plus_plus_int @t295)) % 0.35/0.55 (define @t298 () (_ @t297 @t296)) % 0.35/0.55 (define @t299 () (_ tptp.minus_minus_int @t298)) % 0.35/0.55 (define @t300 () (@list @t295 @t296)) % 0.35/0.55 (define @t301 () (_ tptp.minus_minus_nat @t284)) % 0.35/0.55 (define @t302 () (_ @t301 @t290)) % 0.35/0.55 (define @t303 () (@var "C" tptp.nat)) % 0.35/0.55 (define @t304 () (_ tptp.plus_plus_nat @t290)) % 0.35/0.55 (define @t305 () (_ @t304 @t303)) % 0.35/0.55 (define @t306 () (_ @t291 @t303)) % 0.35/0.55 (define @t307 () (@list @t284 @t303 @t290)) % 0.35/0.55 (define @t308 () (_ tptp.minus_minus_int @t295)) % 0.35/0.55 (define @t309 () (_ @t308 @t296)) % 0.35/0.55 (define @t310 () (@var "C" tptp.int)) % 0.35/0.55 (define @t311 () (_ tptp.plus_plus_int @t296)) % 0.35/0.55 (define @t312 () (_ @t311 @t310)) % 0.35/0.55 (define @t313 () (_ @t297 @t310)) % 0.35/0.55 (define @t314 () (_ tptp.minus_minus_int @t313)) % 0.35/0.55 (define @t315 () (@list @t295 @t310 @t296)) % 0.35/0.55 (define @t316 () (_ tptp.plus_plus_nat @t303)) % 0.35/0.55 (define @t317 () (_ @t316 @t290)) % 0.35/0.55 (define @t318 () (_ @t316 @t284)) % 0.35/0.55 (define @t319 () (_ tptp.plus_plus_int @t310)) % 0.35/0.55 (define @t320 () (_ @t319 @t296)) % 0.35/0.55 (define @t321 () (_ @t319 @t295)) % 0.35/0.55 (define @t322 () (= @t296 @t310)) % 0.35/0.55 (define @t323 () (= (_ @t311 @t295) @t321)) % 0.35/0.55 (define @t324 () (@list @t296 @t295 @t310)) % 0.35/0.55 (define @t325 () (= @t290 @t303)) % 0.35/0.55 (define @t326 () (= (_ @t304 @t284) @t318)) % 0.35/0.55 (define @t327 () (@list @t290 @t284 @t303)) % 0.35/0.55 (define @t328 () (= @t298 @t313)) % 0.35/0.55 (define @t329 () (@list @t295 @t296 @t310)) % 0.35/0.55 (define @t330 () (= @t292 @t306)) % 0.35/0.55 (define @t331 () (@list @t284 @t290 @t303)) % 0.35/0.55 (define @t332 () (_ tptp.plus_plus_int @t309)) % 0.35/0.55 (define @t333 () (_ @t297 @t312)) % 0.35/0.55 (define @t334 () (_ @t291 @t305)) % 0.35/0.55 (define @t335 () (@var "A5" tptp.int)) % 0.35/0.55 (define @t336 () (@var "B4" tptp.int)) % 0.35/0.55 (define @t337 () (@list @t335 @t336)) % 0.35/0.55 (define @t338 () (@var "A5" tptp.nat)) % 0.35/0.55 (define @t339 () (@var "B4" tptp.nat)) % 0.35/0.55 (define @t340 () (_ tptp.plus_plus_int @t173)) % 0.35/0.55 (define @t341 () (_ @t340 @t298)) % 0.35/0.55 (define @t342 () (@var "B5" tptp.int)) % 0.35/0.55 (define @t343 () (= @t342 (_ @t340 @t296))) % 0.35/0.55 (define @t344 () (@list @t342 @t173 @t296 @t295)) % 0.35/0.55 (define @t345 () (_ @t285 @t292)) % 0.35/0.55 (define @t346 () (@var "B5" tptp.nat)) % 0.35/0.55 (define @t347 () (@var "A3" tptp.int)) % 0.35/0.55 (define @t348 () (= @t347 (_ @t340 @t295))) % 0.35/0.55 (define @t349 () (@list @t347 @t173 @t295 @t296)) % 0.35/0.55 (define @t350 () (@var "L" tptp.int)) % 0.35/0.55 (define @t351 () (@var "L" tptp.nat)) % 0.35/0.55 (define @t352 () (_ (_ tptp.minus_minus_nat @t302) @t303)) % 0.35/0.55 (define @t353 () (_ (_ tptp.minus_minus_int @t309) @t310)) % 0.35/0.55 (define @t354 () (_ (_ tptp.minus_minus_int (_ @t308 @t310)) @t296)) % 0.35/0.55 (define @t355 () (@var "D" tptp.int)) % 0.35/0.55 (define @t356 () (_ tptp.minus_minus_int @t310)) % 0.35/0.55 (define @t357 () (_ tptp.minus_minus_int @t296)) % 0.35/0.55 (define @t358 () (_ @t357 @t310)) % 0.35/0.55 (define @t359 () (_ @t314 @t296)) % 0.35/0.55 (define @t360 () (_ @t308 @t312)) % 0.35/0.55 (define @t361 () (_ tptp.units_a_ring_ext_a_b tptp.r)) % 0.35/0.55 (define @t362 () (_ @t73 @t361)) % 0.35/0.55 (define @t363 () (_ @t71 @t361)) % 0.35/0.55 (define @t364 () (@var "G" tptp.partia96731725t_unit)) % 0.35/0.55 (define @t365 () (_ tptp.group_a_Product_unit @t364)) % 0.35/0.55 (define @t366 () (_ tptp.one_a_Product_unit @t364)) % 0.35/0.55 (define @t367 () (_ tptp.mult_a_Product_unit @t364)) % 0.35/0.55 (define @t368 () (_ tptp.partia1955795460t_unit @t364)) % 0.35/0.55 (define @t369 () (_ @t105 @t368)) % 0.35/0.55 (define @t370 () (_ @t367 @t104)) % 0.35/0.55 (define @t371 () (_ @t370 @t150)) % 0.35/0.55 (define @t372 () (_ @t251 @t368)) % 0.35/0.55 (define @t373 () (_ (_ tptp.member_a @t366) @t368)) % 0.35/0.55 (define @t374 () (@list @t364)) % 0.35/0.55 (define @t375 () (_ tptp.group_a_ring_ext_a_b @t236)) % 0.35/0.55 (define @t376 () (_ tptp.one_a_ring_ext_a_b @t236)) % 0.35/0.55 (define @t377 () (_ tptp.mult_a_ring_ext_a_b @t236)) % 0.35/0.55 (define @t378 () (_ @t105 @t237)) % 0.35/0.55 (define @t379 () (_ @t377 @t104)) % 0.35/0.55 (define @t380 () (_ @t379 @t150)) % 0.35/0.55 (define @t381 () (_ @t251 @t237)) % 0.35/0.55 (define @t382 () (_ (_ tptp.member_a @t376) @t237)) % 0.35/0.55 (define @t383 () (@list @t236)) % 0.35/0.55 (define @t384 () (_ @t367 @t60)) % 0.35/0.55 (define @t385 () (_ @t384 @t63)) % 0.35/0.55 (define @t386 () (_ @t71 @t368)) % 0.35/0.55 (define @t387 () (_ @t73 @t368)) % 0.35/0.55 (define @t388 () (_ @t367 @t63)) % 0.35/0.55 (define @t389 () (_ @t388 @t60)) % 0.35/0.55 (define @t390 () (@list @t364 @t63 @t60)) % 0.35/0.55 (define @t391 () (_ @t377 @t60)) % 0.35/0.55 (define @t392 () (_ @t391 @t63)) % 0.35/0.55 (define @t393 () (_ @t377 @t63)) % 0.35/0.55 (define @t394 () (_ @t393 @t60)) % 0.35/0.55 (define @t395 () (@list @t364 @t63)) % 0.35/0.55 (define @t396 () (@list @t236 @t63)) % 0.35/0.55 (define @t397 () (_ @t69 @t368)) % 0.35/0.55 (define @t398 () (@list @t364 @t63 @t60 @t59)) % 0.35/0.55 (define @t399 () (_ @t69 @t237)) % 0.35/0.55 (define @t400 () (@list @t236 @t63 @t60 @t59)) % 0.35/0.55 (define @t401 () (= @t5 @t366)) % 0.35/0.55 (define @t402 () (_ (_ @t367 @t5) @t63)) % 0.35/0.55 (define @t403 () (_ @t119 @t368)) % 0.35/0.55 (define @t404 () (@list @t364 @t63 @t5)) % 0.35/0.55 (define @t405 () (= @t5 @t376)) % 0.35/0.55 (define @t406 () (_ (_ @t377 @t5) @t63)) % 0.35/0.55 (define @t407 () (@list @t236 @t63 @t5)) % 0.35/0.55 (define @t408 () (_ @t388 @t5)) % 0.35/0.55 (define @t409 () (_ @t393 @t5)) % 0.35/0.55 (define @t410 () (_ tptp.units_1411277569xt_a_b tptp.r)) % 0.35/0.55 (define @t411 () (_ tptp.a_inv_a_b tptp.r)) % 0.35/0.55 (define @t412 () (_ @t411 @t63)) % 0.35/0.55 (define @t413 () (_ @t3 @t412)) % 0.35/0.55 (define @t414 () (_ @t411 @t60)) % 0.35/0.55 (define @t415 () (_ @t411 @t67)) % 0.35/0.55 (define @t416 () (= @t1 (_ @t113 @t2))) % 0.35/0.55 (define @t417 () (_ @t3 @t1)) % 0.35/0.55 (define @t418 () (_ @t417 (_ @t411 @t2))) % 0.35/0.55 (define @t419 () (= @t2 (_ @t417 @t5))) % 0.35/0.55 (define @t420 () (_ (_ @t3 (_ @t411 @t1)) @t2)) % 0.35/0.55 (define @t421 () (_ @t411 @t91)) % 0.35/0.55 (define @t422 () (_ @t202 @t266)) % 0.35/0.55 (define @t423 () (_ @t411 @t181)) % 0.35/0.55 (define @t424 () (@var "M" tptp.int)) % 0.35/0.55 (define @t425 () (@var "N" tptp.int)) % 0.35/0.55 (define @t426 () (_ tptp.units_873712258t_unit @t364)) % 0.35/0.55 (define @t427 () (_ tptp.units_1411277569xt_a_b @t236)) % 0.35/0.55 (define @t428 () (_ tptp.a_inv_a_b @t236)) % 0.35/0.55 (define @t429 () (_ @t428 @t63)) % 0.35/0.55 (define @t430 () (_ @t428 @t60)) % 0.35/0.55 (define @t431 () (_ @t257 @t429)) % 0.35/0.55 (define @t432 () (_ @t257 @t63)) % 0.35/0.55 (define @t433 () (_ @t432 @t60)) % 0.35/0.55 (define @t434 () (_ tptp.uminus_uminus_int @t295)) % 0.35/0.55 (define @t435 () (_ tptp.plus_plus_int @t434)) % 0.35/0.55 (define @t436 () (_ @t435 @t296)) % 0.35/0.55 (define @t437 () (_ tptp.uminus_uminus_int @t296)) % 0.35/0.55 (define @t438 () (_ tptp.uminus_uminus_int @t298)) % 0.35/0.55 (define @t439 () (_ @t357 @t295)) % 0.35/0.55 (define @t440 () (_ tptp.plus_plus_int (_ tptp.uminus_uminus_int @t173))) % 0.35/0.55 (define @t441 () (_ tptp.semiri2019852685at_int @t206)) % 0.35/0.55 (define @t442 () (= @t212 @t206)) % 0.35/0.55 (define @t443 () (_ tptp.semiri1382578993at_nat @t206)) % 0.35/0.55 (define @t444 () (_ tptp.semiri1382578993at_nat @t212)) % 0.35/0.55 (define @t445 () (_ tptp.semiri2019852685at_int @t212)) % 0.35/0.55 (define @t446 () (_ tptp.comm_g1684316527t_unit @t364)) % 0.35/0.55 (define @t447 () (_ tptp.comm_g791708116xt_a_b @t236)) % 0.35/0.55 (define @t448 () (_ (_ tptp.product_Pair_a_a @t57) @t34)) % 0.35/0.55 (define @t449 () (_ (_ tptp.member449909584od_a_a @t448) @t8)) % 0.35/0.55 (define @t450 () (not @t449)) % 0.35/0.55 (define @t451 () (@var "Y5" tptp.a)) % 0.35/0.55 (define @t452 () (@var "R4" tptp.partia1833973666xt_a_b)) % 0.35/0.55 (define @t453 () (lambda (@list @t452 @t137 @t451) (_ (_ (_ tptp.add_a_b @t452) @t137) (_ (_ tptp.a_inv_a_b @t452) @t451)))) % 0.35/0.55 (define @t454 () (lambda @t337 (_ (_ tptp.plus_plus_int @t335) (_ tptp.uminus_uminus_int @t336)))) % 0.35/0.55 (define @t455 () (tptp.partia206007992t_unit tptp.rel)) % 0.35/0.55 (define @t456 () (tptp.mult_a_ring_ext_a_b tptp.r @t10 @t9)) % 0.35/0.55 (define @t457 () (tptp.mult_a_ring_ext_a_b tptp.r @t10 @t14)) % 0.35/0.55 (define @t458 () (tptp.mult_a_ring_ext_a_b tptp.r @t9 @t16)) % 0.35/0.55 (define @t459 () (tptp.add_a_b tptp.r @t458 @t457)) % 0.35/0.55 (define @t460 () (tptp.product_Pair_a_a @t459 @t456)) % 0.35/0.55 (define @t461 () (tptp.member449909584od_a_a @t460 @t455)) % 0.35/0.55 (define @t462 () (tptp.product_Pair_a_a @t14 @t9)) % 0.35/0.55 (define @t463 () (tptp.member449909584od_a_a @t462 @t455)) % 0.35/0.55 (define @t464 () (not @t22)) % 0.35/0.55 (define @t465 () (tptp.product_Pair_a_a @t16 @t10)) % 0.35/0.55 (define @t466 () (tptp.member449909584od_a_a @t465 @t455)) % 0.35/0.55 (define @t467 () (not @t25)) % 0.35/0.55 (define @t468 () (or @t467 @t464 @t20)) % 0.35/0.55 (define @t469 () (tptp.mult_a_ring_ext_a_b tptp.r tptp.s tptp.s3)) % 0.35/0.55 (define @t470 () (tptp.mult_a_ring_ext_a_b tptp.r tptp.r2 tptp.r4)) % 0.35/0.55 (define @t471 () (tptp.product_Pair_a_a @t470 @t469)) % 0.35/0.55 (define @t472 () (tptp.member449909584od_a_a @t471 @t455)) % 0.35/0.55 (define @t473 () (tptp.mult_a_ring_ext_a_b tptp.r tptp.s2 tptp.s3)) % 0.35/0.55 (define @t474 () (tptp.mult_a_ring_ext_a_b tptp.r tptp.r3 tptp.r4)) % 0.35/0.55 (define @t475 () (tptp.product_Pair_a_a @t474 @t473)) % 0.35/0.55 (define @t476 () (tptp.member449909584od_a_a @t475 @t455)) % 0.35/0.55 (define @t477 () (tptp.mult_a_ring_ext_a_b tptp.r @t469 @t473)) % 0.35/0.55 (define @t478 () (tptp.mult_a_ring_ext_a_b tptp.r @t469 @t474)) % 0.35/0.55 (define @t479 () (tptp.mult_a_ring_ext_a_b tptp.r @t473 @t470)) % 0.35/0.55 (define @t480 () (tptp.add_a_b tptp.r @t479 @t478)) % 0.35/0.55 (define @t481 () (tptp.product_Pair_a_a @t480 @t477)) % 0.35/0.55 (define @t482 () (tptp.member449909584od_a_a @t481 @t455)) % 0.35/0.55 (define @t483 () (_ @t11 @t469)) % 0.35/0.55 (define @t484 () (not @t476)) % 0.35/0.55 (define @t485 () (not @t472)) % 0.35/0.55 (define @t486 () (or @t485 @t484 @t482)) % 0.35/0.55 (define @t487 () (not @t486)) % 0.35/0.55 (define @t488 () (forall @t26 (or (not @t466) (not @t463) @t461))) % 0.35/0.55 (assume @p1 (forall @t7 (=> @t6 (= (_ @t4 @t5) (_ @t4 @t1))))) % 0.35/0.55 (assume @p2 (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a tptp.r4) tptp.s3)) @t8)) % 0.35/0.55 (assume @p3 (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a tptp.r3) tptp.s2)) @t8)) % 0.35/0.55 (assume @p4 (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a tptp.r2) tptp.s)) @t8)) % 0.35/0.55 (assume @p5 @t27) % 0.35/0.55 (assume @p6 (= @t34 (_ (_ @t11 (_ @t29 (_ @t28 tptp.s2))) tptp.s3))) % 0.35/0.55 (assume @p7 (= @t34 (_ @t35 (_ @t28 tptp.s3)))) % 0.35/0.55 (assume @p8 (= @t37 (_ (_ @t11 (_ @t28 tptp.s)) @t36))) % 0.35/0.55 (assume @p9 (= @t44 @t40)) % 0.35/0.55 (assume @p10 (= @t50 @t47)) % 0.35/0.55 (assume @p11 @t52) % 0.35/0.55 (assume @p12 @t54) % 0.35/0.55 (assume @p13 (= @t56 (_ @t43 (_ (_ @t3 @t49) @t42)))) % 0.35/0.55 (assume @p14 (= @t56 @t58)) % 0.35/0.55 (assume @p15 (= @t56 (_ (_ @t3 @t50) @t44))) % 0.35/0.55 (assume @p16 (= @t58 (_ (_ @t3 @t47) @t40))) % 0.35/0.55 (assume @p17 (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t55) @t38)) @t8)) % 0.35/0.55 (assume @p18 (forall @t75 (=> @t74 (=> @t72 (=> @t70 (= (_ (_ @t11 @t67) @t59) (_ (_ @t3 @t65) @t62))))))) % 0.35/0.55 (assume @p19 (forall @t75 (=> @t74 (=> @t72 (=> @t70 (= (_ @t76 @t67) (_ (_ @t3 (_ @t76 @t63)) (_ @t76 @t60)))))))) % 0.35/0.55 (assume @p20 (= @t79 @t77)) % 0.35/0.55 (assume @p21 (forall (@list @t83 @t81 @t82 @t80) (= (= (_ (_ tptp.product_Pair_a_a @t83) @t81) (_ (_ tptp.product_Pair_a_a @t82) @t80)) (and (= @t83 @t82) (= @t81 @t80))))) % 0.35/0.55 (assume @p22 (forall @t89 (= @t88 (and @t87 @t85)))) % 0.35/0.55 (assume @p23 (_ tptp.semiring_a_b tptp.r)) % 0.35/0.55 (assume @p24 (forall @t75 (=> @t74 (=> @t72 (=> @t70 (= (_ (_ @t11 @t91) @t59) @t90)))))) % 0.35/0.55 (assume @p25 (forall @t93 (=> @t74 (=> @t72 (= @t91 @t92))))) % 0.35/0.55 (assume @p26 (forall @t75 (=> @t74 (=> @t72 (=> @t70 (= @t90 (_ @t61 @t65))))))) % 0.35/0.55 (assume @p27 (forall @t75 (=> @t74 (=> @t72 (=> @t70 (= (_ (_ @t3 @t67) @t59) @t95)))))) % 0.35/0.55 (assume @p28 (forall @t93 (=> @t74 (=> @t72 @t97)))) % 0.35/0.55 (assume @p29 (forall @t75 (=> @t74 (=> @t72 (=> @t70 (= @t95 (_ @t94 (_ @t66 @t59)))))))) % 0.35/0.55 (assume @p30 (forall @t7 (=> @t6 (= @t99 (_ @t98 @t1))))) % 0.35/0.55 (assume @p31 (forall @t103 (=> @t102 (=> (= (_ @t66 @t100) @t77) @t101)))) % 0.35/0.55 (assume @p32 (forall @t108 (=> @t74 (exists @t107 (and @t106 (= (_ @t66 @t104) @t77)))))) % 0.35/0.55 (assume @p33 (forall @t111 (=> @t110 (=> (forall @t107 (=> @t106 (= (_ (_ @t3 @t109) @t104) @t104))) (= @t109 @t77))))) % 0.35/0.55 (assume @p34 (forall @t108 (=> @t74 (exists @t107 (and @t106 (= (_ (_ @t3 @t104) @t63) @t77)))))) % 0.35/0.55 (assume @p35 (forall @t93 (=> @t112 (=> @t74 (=> @t72 @t102))))) % 0.35/0.55 (assume @p36 (forall @t7 (=> @t120 (=> @t118 (=> @t116 (= (_ (_ @t78 @t99) @t1) (_ @t98 @t114))))))) % 0.35/0.55 (assume @p37 (forall (@list @t5 @t1 @t2 @t121) (=> @t120 (=> @t118 (=> @t116 (=> (_ @t122 @t68) (= (_ (_ @t78 (_ (_ @t3 (_ (_ @t78 @t5) @t2)) @t1)) @t121) (_ (_ @t78 (_ (_ @t78 @t114) @t2)) @t121)))))))) % 0.35/0.55 (assume @p38 (forall @t75 (=> @t74 (=> @t72 (=> @t70 (= (= @t96 (_ (_ @t3 @t59) @t63)) @t123)))))) % 0.35/0.55 (assume @p39 (forall @t93 (=> @t74 (=> @t72 (_ (_ tptp.member_a @t67) @t68))))) % 0.35/0.55 (assume @p40 (_ (_ tptp.member_a @t77) @t68)) % 0.35/0.55 (assume @p41 (forall @t93 (=> @t74 (=> @t72 (_ @t124 @t68))))) % 0.35/0.55 (assume @p42 (forall @t93 (=> @t74 (=> @t72 (_ (_ tptp.member_a @t125) @t68))))) % 0.35/0.55 (assume @p43 (forall @t108 (=> @t74 (= (_ @t66 @t77) @t63)))) % 0.35/0.55 (assume @p44 (forall @t108 (=> @t74 (= (_ (_ @t3 @t77) @t63) @t63)))) % 0.35/0.55 (assume @p45 (forall @t128 (=> @t74 (=> @t120 (= (= @t63 @t127) @t126))))) % 0.35/0.55 (assume @p46 (forall (@list @t129 @t130) (= (_ (_ tptp.member449909584od_a_a @t129) @t131) (_ @t130 @t129)))) % 0.35/0.55 (assume @p47 (forall (@list @t5 @t132) (= (_ @t119 @t133) (_ @t132 @t5)))) % 0.35/0.55 (assume @p48 (forall (@list @t134) (= (_ tptp.collec645855634od_a_a (lambda (@list @t135) (_ (_ tptp.member449909584od_a_a @t135) @t134))) @t134))) % 0.35/0.55 (assume @p49 (forall (@list @t136) (= (_ tptp.collect_a (lambda (@list @t137) (_ (_ tptp.member_a @t137) @t136))) @t136))) % 0.35/0.55 (assume @p50 (forall (@list @t132 @t138) (=> (forall @t107 (= (_ @t132 @t104) (_ @t138 @t104))) (= @t133 (_ tptp.collect_a @t138))))) % 0.35/0.55 (assume @p51 (forall (@list @t130 @t139) (=> (forall (@list @t140) (= (_ @t130 @t140) (_ @t139 @t140))) (= @t131 (_ tptp.collec645855634od_a_a @t139))))) % 0.35/0.55 (assume @p52 (forall @t128 (=> @t74 (=> @t120 (= (= @t127 @t63) @t126))))) % 0.35/0.55 (assume @p53 (forall @t128 (=> @t74 (=> @t120 (= (= @t63 @t141) @t126))))) % 0.35/0.55 (assume @p54 (forall @t128 (=> @t74 (=> @t120 (= (= @t141 @t63) @t126))))) % 0.35/0.55 (assume @p55 (forall @t108 (=> @t74 (= (_ @t64 @t77) @t77)))) % 0.35/0.55 (assume @p56 (forall @t108 (=> @t74 (= (_ (_ @t11 @t77) @t63) @t77)))) % 0.35/0.55 (assume @p57 (forall (@list @t130 @t142) (=> @t147 (_ @t130 @t142)))) % 0.35/0.55 (assume @p58 (forall (@list @t148) (not (forall @t146 (not (= @t148 @t145)))))) % 0.35/0.55 (assume @p59 (forall @t89 (=> @t88 (not (=> @t87 (not @t85)))))) % 0.35/0.55 (assume @p60 (forall (@list @t130 @t149) (=> @t147 (_ @t130 @t149)))) % 0.35/0.55 (assume @p61 (forall (@list @t149) (exists (@list @t104 @t150) (= @t149 (_ (_ tptp.product_Pair_a_a @t104) @t150))))) % 0.35/0.55 (assume @p62 (= (_ @t152 @t79) @t77)) % 0.35/0.55 (assume @p63 (forall @t160 (=> @t159 (=> @t158 (= (_ @t156 @t154) @t63))))) % 0.35/0.55 (assume @p64 (forall @t160 (=> @t159 @t162))) % 0.35/0.55 (assume @p65 (forall @t160 (=> @t159 (=> @t158 (= (_ (_ @t163 @t154) @t63) @t154))))) % 0.35/0.55 (assume @p66 (forall @t160 (=> @t159 (=> @t158 (= (_ @t164 @t154) @t154))))) % 0.35/0.55 (assume @p67 (forall @t169 (=> @t159 (=> @t158 (=> @t168 (=> @t167 (= (_ @t165 @t166) (_ (_ @t155 (_ @t165 @t63)) (_ @t165 @t60))))))))) % 0.35/0.55 (assume @p68 (forall @t169 (=> @t159 (=> @t158 (=> @t168 (=> @t167 (= (_ (_ @t163 @t166) @t59) (_ (_ @t155 (_ @t164 @t59)) @t170)))))))) % 0.35/0.55 (assume @p69 (forall @t177 (=> @t120 (=> @t118 (= (_ @t171 (_ @t175 @t1)) @t176))))) % 0.35/0.55 (assume @p70 (forall @t177 (=> @t120 (=> @t118 (= (_ (_ @t11 (_ @t175 @t5)) @t1) @t176))))) % 0.35/0.55 (assume @p71 (forall @t103 (=> @t178 (=> (= (_ @t64 @t100) @t151) @t101)))) % 0.35/0.55 (assume @p72 (forall @t111 (=> @t110 (=> (forall @t107 (=> @t106 (= (_ (_ @t11 @t109) @t104) @t104))) (= @t109 @t151))))) % 0.35/0.55 (assume @p73 (forall @t184 @t183)) % 0.35/0.55 (assume @p74 (forall @t184 (=> @t97 @t183))) % 0.35/0.55 (assume @p75 (_ @t185 @t68)) % 0.35/0.55 (assume @p76 (forall @t186 (=> @t74 (_ (_ tptp.member_a @t181) @t68)))) % 0.35/0.55 (assume @p77 (forall (@list @t187) (= (_ (_ @t174 @t187) @t77) @t77))) % 0.35/0.55 (assume @p78 (forall @t108 (=> @t74 (= (_ @t152 @t63) @t63)))) % 0.35/0.55 (assume @p79 (forall @t108 (=> @t74 (= (_ @t64 @t151) @t63)))) % 0.35/0.55 (assume @p80 (forall @t189 (=> @t159 (_ (_ tptp.member_a @t188) @t157)))) % 0.35/0.55 (assume @p81 (forall @t160 (=> @t159 (=> @t158 (= (_ (_ @t163 @t188) @t63) @t63))))) % 0.35/0.55 (assume @p82 (forall @t191 (=> @t159 (=> @t158 (=> @t168 (_ (_ tptp.member_a @t190) @t157)))))) % 0.35/0.55 (assume @p83 (forall @t169 (=> @t159 (=> @t158 (=> @t168 (=> @t167 (= (_ (_ @t163 @t190) @t59) (_ @t164 @t170)))))))) % 0.35/0.55 (assume @p84 (forall @t191 (=> @t159 @t192))) % 0.35/0.55 (assume @p85 (forall @t169 (=> @t159 @t195))) % 0.35/0.55 (assume @p86 (forall @t191 (=> @t159 @t196))) % 0.35/0.55 (assume @p87 (forall @t169 (=> @t159 (=> @t158 (=> @t168 (=> @t167 (= @t194 (_ @t193 (_ @t156 @t59))))))))) % 0.35/0.55 (assume @p88 (forall @t189 (=> @t159 @t197))) % 0.35/0.55 (assume @p89 (=> (not (= @t77 @t151)) (=> (forall (@list @t144) (=> (_ (_ tptp.member_a @t144) @t68) (=> (not (= @t144 @t77)) (exists (@list @t198) (and (_ (_ tptp.member_a @t198) @t68) (= (_ (_ @t11 @t144) @t198) @t151)))))) (_ tptp.field_a_b tptp.r)))) % 0.35/0.55 (assume @p90 (forall (@list @t63 @t179 @t199) (=> @t74 (= (_ (_ @t174 (_ @t200 @t199)) @t63) (_ @t182 (_ (_ @t174 @t199) @t63)))))) % 0.35/0.55 (assume @p91 (forall @t205 (=> @t120 (=> @t118 (= (_ (_ @t11 (_ @t203 @t5)) @t1) @t204))))) % 0.35/0.55 (assume @p92 (forall @t205 (=> @t120 (=> @t118 (= (_ @t171 (_ @t203 @t1)) @t204))))) % 0.35/0.55 (assume @p93 (forall @t210 (=> @t97 (=> @t74 (=> @t72 (= (_ @t209 @t60) (_ @t94 @t208))))))) % 0.35/0.55 (assume @p94 (forall @t210 (=> @t97 @t211))) % 0.35/0.55 (assume @p95 (forall @t210 @t211)) % 0.35/0.55 (assume @p96 (forall @t215 (=> @t74 (= @t214 (_ (_ @t3 @t213) @t208))))) % 0.35/0.55 (assume @p97 (forall @t216 (=> @t74 (_ (_ tptp.member_a @t208) @t68)))) % 0.35/0.55 (assume @p98 (forall @t217 (= (_ @t207 @t77) @t77))) % 0.35/0.55 (assume @p99 (forall @t189 (=> @t218 (not (= @t188 @t154))))) % 0.35/0.55 (assume @p100 (forall (@list @t153 @t5 @t1) (=> @t218 (=> (= @t222 @t154) (=> @t220 (=> @t219 (or (= @t5 @t154) (= @t1 @t154)))))))) % 0.35/0.55 (assume @p101 (forall @t225 (=> @t159 (=> @t220 (=> @t219 (= (_ (_ @t163 (_ @t223 @t5)) @t1) @t224)))))) % 0.35/0.55 (assume @p102 (forall @t225 (=> @t159 (=> @t220 (=> @t219 (= (_ @t221 (_ @t223 @t1)) @t224)))))) % 0.35/0.55 (assume @p103 (forall @t215 (=> @t74 (= @t214 (_ (_ @t202 @t227) @t63))))) % 0.35/0.55 (assume @p104 (forall @t216 (=> @t74 (= @t229 (_ @t66 @t208))))) % 0.35/0.55 (assume @p105 (forall (@list @t63 @t212 @t206) (=> @t74 (=> (= @t213 @t208) (= (_ (_ @t202 @t230) @t63) @t77))))) % 0.35/0.55 (assume @p106 (forall @t93 (=> @t232 (=> @t74 (=> @t72 (=> (= @t125 @t77) @t231)))))) % 0.35/0.55 (assume @p107 (forall (@list @t234 @t233) (=> (= (_ tptp.partia1066395285xt_a_b @t234) (_ tptp.partia1066395285xt_a_b @t233)) (=> (= (_ tptp.mult_a_ring_ext_a_b @t234) (_ tptp.mult_a_ring_ext_a_b @t233)) (=> (= (_ tptp.one_a_ring_ext_a_b @t234) (_ tptp.one_a_ring_ext_a_b @t233)) (=> (= (_ tptp.zero_a_b @t234) (_ tptp.zero_a_b @t233)) (=> (= (_ tptp.add_a_b @t234) (_ tptp.add_a_b @t233)) (=> (= (_ tptp.more_a_b @t234) (_ tptp.more_a_b @t233)) (= @t234 @t233))))))))) % 0.35/0.55 (assume @p108 @t232) % 0.35/0.55 (assume @p109 (forall (@list @t206 @t63) (= @t229 (_ @t209 @t63)))) % 0.35/0.55 (assume @p110 (forall @t191 (=> @t235 @t192))) % 0.35/0.55 (assume @p111 (forall @t169 (=> @t235 @t195))) % 0.35/0.55 (assume @p112 (forall @t191 (=> @t235 @t196))) % 0.35/0.55 (assume @p113 (forall @t189 (=> @t235 @t197))) % 0.35/0.55 (assume @p114 (forall @t243 (=> @t242 (=> @t241 (=> @t240 (_ (_ tptp.member_a @t239) @t237)))))) % 0.35/0.55 (assume @p115 (forall @t189 (=> (forall @t107 (=> @t247 (forall @t253 (=> @t252 (_ (_ tptp.member_a @t250) @t157))))) (=> @t197 (=> (forall @t107 (=> @t247 (forall @t253 (=> @t252 (forall @t256 (=> (_ @t255 @t157) (= (_ (_ @t155 @t250) @t254) (_ @t249 (_ @t248 @t254))))))))) (=> (forall @t107 (=> @t247 (forall @t253 (=> @t252 (= @t250 (_ @t248 @t104)))))) (=> (forall @t107 (=> @t247 (= (_ @t161 @t104) @t104))) (=> (forall @t107 (=> @t247 (exists @t246 (and (_ @t245 @t157) (= (_ (_ @t155 @t244) @t104) @t154))))) @t235)))))))) % 0.35/0.55 (assume @p116 (forall @t160 (=> @t235 @t162))) % 0.35/0.55 (assume @p117 (forall @t160 (=> @t235 (=> @t158 (exists @t107 (and @t247 (= (_ @t249 @t63) @t154))))))) % 0.35/0.55 (assume @p118 (forall (@list @t236 @t5 @t1 @t2 @t121) (=> @t242 (=> @t261 (=> @t260 (=> @t259 (=> (_ @t122 @t237) (= (_ (_ @t238 (_ (_ @t257 (_ (_ @t238 @t5) @t2)) @t1)) @t121) (_ (_ @t238 (_ (_ @t238 @t258) @t2)) @t121))))))))) % 0.35/0.55 (assume @p119 (forall (@list @t236 @t5 @t1 @t2) (=> @t242 (=> @t261 (=> @t260 (=> @t259 (= (_ (_ @t238 (_ @t262 @t5)) @t1) (_ @t262 @t258)))))))) % 0.35/0.55 (assume @p120 (forall @t243 (=> @t242 (=> @t242 (=> @t241 (=> @t240 (=> (= @t239 @t263) @t231))))))) % 0.35/0.55 (assume @p121 (forall @t269 (= @t268 (_ @t267 (_ @t265 @t201))))) % 0.35/0.55 (assume @p122 (forall (@list @t212 @t206 @t201) (= (_ (_ tptp.minus_minus_nat (_ @t271 @t206)) (_ tptp.suc @t201)) (_ (_ tptp.minus_minus_nat @t230) @t201)))) % 0.35/0.55 (assume @p123 (forall @t272 (= (_ @t271 @t228) @t230))) % 0.35/0.55 (assume @p124 (forall @t272 (= @t276 @t275))) % 0.35/0.55 (assume @p125 (forall (@list @t278 @t277) (= (= (_ tptp.suc @t278) (_ tptp.suc @t277)) (= @t278 @t277)))) % 0.35/0.55 (assume @p126 (forall (@list @t280 @t279) (= (= (_ tptp.suc @t280) (_ tptp.suc @t279)) (= @t280 @t279)))) % 0.35/0.55 (assume @p127 (forall (@list @t282 @t281) (=> (= (_ tptp.suc @t282) (_ tptp.suc @t281)) (= @t282 @t281)))) % 0.35/0.55 (assume @p128 (forall @t217 (not (= @t206 @t228)))) % 0.35/0.55 (assume @p129 (forall @t269 (= @t268 (_ (_ tptp.minus_minus_nat (_ @t267 @t201)) @t264)))) % 0.35/0.55 (assume @p130 (forall @t272 (= @t283 @t275))) % 0.35/0.55 (assume @p131 (forall (@list @t286 @t201 @t284) (=> @t287 (= (_ tptp.suc @t286) (_ @t285 (_ tptp.suc @t284)))))) 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@t315 (= (_ @t314 @t312) @t309))) % 0.35/0.55 (assume @p142 (forall @t294 (= (_ @t293 @t284) @t290))) % 0.35/0.55 (assume @p143 (forall @t300 (= (_ @t299 @t295) @t296))) % 0.35/0.55 (assume @p144 (forall (@list @t303 @t284 @t290) (= (_ (_ tptp.minus_minus_nat @t318) @t317) @t302))) % 0.35/0.55 (assume @p145 (forall (@list @t310 @t295 @t296) (= (_ (_ tptp.minus_minus_int @t321) @t320) @t309))) % 0.35/0.55 (assume @p146 (forall @t324 (= @t323 @t322))) % 0.35/0.55 (assume @p147 (forall @t327 (= @t326 @t325))) % 0.35/0.55 (assume @p148 (forall @t329 (= @t328 @t322))) % 0.35/0.55 (assume @p149 (forall @t331 (= @t330 @t325))) % 0.35/0.55 (assume @p150 (forall @t300 (= (_ @t332 @t296) @t295))) % 0.35/0.55 (assume @p151 (forall @t324 (=> @t323 @t322))) % 0.35/0.55 (assume @p152 (forall @t327 (=> @t326 @t325))) % 0.35/0.55 (assume @p153 (forall @t329 (=> @t328 @t322))) % 0.35/0.55 (assume @p154 (forall @t331 (=> @t330 @t325))) % 0.35/0.55 (assume @p155 (forall @t324 (= (_ @t311 @t313) @t333))) 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@t173 @t350)) (= (_ @t200 @t173) (_ (_ tptp.plus_plus_int @t199) @t350))))) % 0.35/0.55 (assume @p166 (forall (@list @t266 @t264 @t201 @t351) (=> (and (= @t266 @t264) (= @t201 @t351)) (= (_ (_ tptp.plus_plus_nat @t266) @t201) (_ @t265 @t351))))) % 0.35/0.55 (assume @p167 (forall @t307 (= (_ (_ tptp.minus_minus_nat (_ @t301 @t303)) @t290) @t352))) % 0.35/0.55 (assume @p168 (forall @t315 (= @t354 @t353))) % 0.35/0.55 (assume @p169 (forall (@list @t295 @t296 @t310 @t355) (=> (= @t309 (_ @t356 @t355)) (= (= @t295 @t296) (= @t310 @t355))))) % 0.35/0.55 (assume @p170 (forall @t349 (=> @t348 (= (_ (_ tptp.minus_minus_int @t347) @t296) (_ @t340 @t309))))) % 0.35/0.55 (assume @p171 (forall @t329 (= (= @t309 @t310) (= @t295 @t320)))) % 0.35/0.55 (assume @p172 (forall @t315 (= (= @t295 (_ @t356 @t296)) (= @t298 @t310)))) % 0.35/0.55 (assume @p173 (forall @t329 (= (_ @t297 @t358) (_ @t299 @t310)))) % 0.35/0.55 (assume @p174 (forall @t329 (= (_ @t308 @t358) @t359))) % 0.35/0.55 (assume @p175 (forall @t329 (= (_ @t332 @t310) @t359))) % 0.35/0.55 (assume @p176 (forall @t329 (= @t360 @t354))) % 0.35/0.55 (assume @p177 (forall @t331 (= @t352 (_ @t301 @t305)))) % 0.35/0.55 (assume @p178 (forall @t329 (= @t353 @t360))) % 0.35/0.55 (assume @p179 (forall (@list @t303 @t290 @t284) (=> (= @t317 @t284) (= @t303 @t302)))) % 0.35/0.55 (assume @p180 (forall (@list @t310 @t296 @t295) (=> (= @t320 @t295) (= @t310 @t309)))) % 0.35/0.55 (assume @p181 (forall @t108 (=> @t362 (exists @t107 (and @t106 (= (_ (_ @t11 @t104) @t63) @t151)))))) % 0.35/0.55 (assume @p182 (forall @t108 (=> @t362 (exists @t107 (and @t106 (= (_ @t64 @t104) @t151)))))) % 0.35/0.55 (assume @p183 (=> (forall @t107 (=> @t106 (exists @t246 (and (_ @t245 @t68) (= (_ (_ @t11 @t244) @t104) @t151))))) (_ tptp.group_a_ring_ext_a_b tptp.r))) % 0.35/0.55 (assume @p184 (forall @t108 (=> @t362 @t74))) % 0.35/0.55 (assume @p185 (forall @t93 (=> (= @t91 @t151) (=> @t362 (=> @t363 @t178))))) % 0.35/0.55 (assume @p186 (forall @t93 (=> @t362 (=> @t363 (_ @t124 @t361))))) % 0.35/0.55 (assume @p187 (_ @t185 @t361)) % 0.35/0.55 (assume @p188 (forall @t75 (=> @t362 (=> @t72 (=> @t70 (= (= @t91 @t65) @t123)))))) % 0.35/0.55 (assume @p189 (forall @t374 (=> (forall @t107 (=> @t369 (forall @t253 (=> @t372 (_ (_ tptp.member_a @t371) @t368))))) (=> @t373 (=> (forall @t107 (=> @t369 (forall @t253 (=> @t372 (forall @t256 (=> (_ @t255 @t368) (= (_ (_ @t367 @t371) @t254) (_ @t370 (_ (_ @t367 @t150) @t254))))))))) (=> (forall @t107 (=> @t369 (= (_ (_ @t367 @t366) @t104) @t104))) (=> (forall @t107 (=> @t369 (exists @t246 (and (_ @t245 @t368) (= (_ (_ @t367 @t244) @t104) @t366))))) @t365))))))) % 0.35/0.55 (assume @p190 (forall @t383 (=> (forall @t107 (=> @t378 (forall @t253 (=> @t381 (_ (_ tptp.member_a @t380) @t237))))) (=> @t382 (=> (forall @t107 (=> @t378 (forall @t253 (=> @t381 (forall @t256 (=> (_ @t255 @t237) (= (_ (_ @t377 @t380) @t254) (_ @t379 (_ (_ @t377 @t150) @t254))))))))) (=> (forall @t107 (=> @t378 (= (_ (_ @t377 @t376) @t104) @t104))) (=> (forall @t107 (=> @t378 (exists @t246 (and (_ @t245 @t237) (= (_ (_ @t377 @t244) @t104) @t376))))) @t375))))))) % 0.35/0.55 (assume @p191 (forall @t390 (=> @t365 (=> (= @t389 @t366) (=> @t387 (=> @t386 (= @t385 @t366))))))) % 0.35/0.55 (assume @p192 (forall @t243 (=> @t375 (=> (= @t394 @t376) (=> @t241 (=> @t240 (= @t392 @t376))))))) % 0.35/0.55 (assume @p193 (forall @t395 (=> @t365 (=> @t387 (exists @t107 (and @t369 (= (_ @t370 @t63) @t366))))))) % 0.35/0.55 (assume @p194 (forall @t396 (=> @t375 (=> @t241 (exists @t107 (and @t378 (= (_ @t379 @t63) @t376))))))) % 0.35/0.55 (assume @p195 (forall @t398 (=> @t365 (=> @t387 (=> @t386 (=> @t397 (= (= @t385 (_ (_ @t367 @t59) @t63)) @t123))))))) % 0.35/0.55 (assume @p196 (forall @t400 (=> @t375 (=> @t241 (=> @t240 (=> @t399 (= (= @t392 (_ (_ @t377 @t59) @t63)) @t123))))))) % 0.35/0.55 (assume @p197 (forall @t374 (=> @t365 (= (_ tptp.units_a_Product_unit @t364) @t368)))) % 0.35/0.55 (assume @p198 (forall @t383 (=> @t375 (= (_ tptp.units_a_ring_ext_a_b @t236) @t237)))) % 0.35/0.55 (assume @p199 (forall @t404 (=> @t365 (=> @t387 (=> @t403 (= (= @t63 @t402) @t401)))))) % 0.35/0.55 (assume @p200 (forall @t407 (=> @t375 (=> @t241 (=> @t261 (= (= @t63 @t406) @t405)))))) % 0.35/0.55 (assume @p201 (forall @t404 (=> @t365 (=> @t387 (=> @t403 (= (= @t63 @t408) @t401)))))) % 0.35/0.55 (assume @p202 (forall @t407 (=> @t375 (=> @t241 (=> @t261 (= (= @t63 @t409) @t405)))))) % 0.35/0.55 (assume @p203 (forall @t404 (=> @t365 (=> @t387 (=> @t403 (= (= @t402 @t63) @t401)))))) % 0.35/0.55 (assume @p204 (forall @t407 (=> @t375 (=> @t241 (=> @t261 (= (= @t406 @t63) @t405)))))) % 0.35/0.55 (assume @p205 (forall @t404 (=> @t365 (=> @t387 (=> @t403 (= (= @t408 @t63) @t401)))))) % 0.35/0.55 (assume @p206 (forall @t407 (=> @t375 (=> @t241 (=> @t261 (= (= @t409 @t63) @t405)))))) % 0.35/0.55 (assume @p207 (forall @t395 (=> @t365 (=> @t387 (exists @t107 (and @t369 (= (_ @t388 @t104) @t366))))))) % 0.35/0.55 (assume @p208 (forall @t396 (=> @t375 (=> @t241 (exists @t107 (and @t378 (= (_ @t393 @t104) @t376))))))) % 0.35/0.55 (assume @p209 (_ tptp.group_a_Product_unit @t410)) % 0.35/0.55 (assume @p210 (forall (@list @t5 @t1) (=> @t120 (=> @t118 (= (_ @t411 @t114) (_ (_ @t78 (_ @t411 @t5)) @t1)))))) % 0.35/0.55 (assume @p211 (forall @t93 (=> @t74 (=> @t72 (= (_ @t66 (_ @t413 @t60)) @t60))))) % 0.35/0.55 (assume @p212 (forall @t93 (=> @t74 (=> @t72 (= (_ @t413 @t67) @t60))))) % 0.35/0.55 (assume @p213 (forall @t93 (=> @t74 (=> @t72 (= @t415 (_ @t413 @t414)))))) % 0.35/0.55 (assume @p214 (forall @t7 (=> @t120 (=> @t118 (=> @t116 (= (= @t418 @t5) @t416)))))) % 0.35/0.55 (assume @p215 (forall @t7 (=> @t120 (=> @t118 (=> @t116 (= (= @t5 @t418) @t416)))))) % 0.35/0.55 (assume @p216 (forall @t7 (=> @t120 (=> @t118 (=> @t116 (= (= @t420 @t5) @t419)))))) % 0.35/0.55 (assume @p217 (forall @t7 (=> @t120 (=> @t118 (=> @t116 (= (= @t5 @t420) @t419)))))) % 0.35/0.55 (assume @p218 (forall @t93 (=> @t74 (=> @t72 (= @t415 (_ (_ @t3 @t414) @t412)))))) % 0.35/0.55 (assume @p219 (forall @t75 (=> (= @t67 @t59) (=> @t74 (=> @t72 (=> @t70 (= (_ @t413 @t59) @t60))))))) % 0.35/0.55 (assume @p220 (forall @t93 (=> @t74 (=> @t72 (= (_ @t64 @t414) @t421))))) % 0.35/0.55 (assume @p221 (forall @t93 (=> @t74 (=> @t72 (= (_ (_ @t11 @t412) @t60) @t421))))) % 0.35/0.55 (assume @p222 (forall (@list @t63 @t266) (=> @t74 (= (_ @t422 @t412) (_ @t411 (_ @t422 @t63)))))) % 0.35/0.55 (assume @p223 (forall @t186 (=> @t74 (= (_ @t180 @t412) @t423)))) % 0.35/0.55 (assume @p224 (forall @t93 (= @t125 (_ @t66 @t414)))) % 0.35/0.55 (assume @p225 (forall @t93 (=> @t74 (=> @t72 (=> @t112 (= @t63 @t414)))))) % 0.35/0.55 (assume @p226 (forall @t108 (=> @t74 (= (_ @t66 @t412) @t77)))) % 0.35/0.55 (assume @p227 (forall (@list @t60 @t63) (=> @t102 (=> @t74 (=> @t72 (= @t412 @t60)))))) % 0.35/0.55 (assume @p228 (forall @t108 (=> @t74 (= (_ @t413 @t63) @t77)))) % 0.35/0.55 (assume @p229 (forall (@list @t63 @t425 @t424) (=> @t74 (= (_ (_ @t174 (_ (_ tptp.minus_minus_int @t425) @t424)) @t63) (_ (_ @t3 (_ (_ @t174 @t425) @t63)) (_ @t411 (_ (_ @t174 @t424) @t63))))))) % 0.35/0.55 (assume @p230 (forall @t108 (=> @t74 (= (_ @t411 @t412) @t63)))) % 0.35/0.55 (assume @p231 (forall @t108 (=> @t74 (_ (_ tptp.member_a @t412) @t68)))) % 0.35/0.55 (assume @p232 (= (_ @t411 @t77) @t77)) % 0.35/0.55 (assume @p233 (forall @t108 (=> @t74 (= (= @t412 @t77) (= @t63 @t77))))) % 0.35/0.55 (assume @p234 (_ (_ tptp.member_a (_ @t411 @t151)) @t361)) % 0.35/0.55 (assume @p235 (forall @t374 (= (_ tptp.mult_a_Product_unit @t426) @t367))) % 0.35/0.55 (assume @p236 (forall @t383 (= (_ tptp.mult_a_Product_unit @t427) @t377))) % 0.35/0.55 (assume @p237 (forall @t396 (=> @t242 (=> @t241 (_ (_ tptp.member_a @t429) @t237))))) % 0.35/0.55 (assume @p238 (forall @t396 (=> @t242 (=> @t241 (= (_ @t428 @t429) @t63))))) % 0.35/0.55 (assume @p239 (forall @t374 (= (_ tptp.one_a_Product_unit @t426) @t366))) % 0.35/0.55 (assume @p240 (forall @t383 (= (_ 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@t399 (= (_ @t431 @t59) @t60)))))))) % 0.35/0.55 (assume @p250 (forall @t186 (=> @t74 (= (_ (_ @t174 (_ tptp.uminus_uminus_int @t179)) @t63) @t423)))) % 0.35/0.55 (assume @p251 (forall @t300 (= (_ @t297 @t436) @t296))) % 0.35/0.55 (assume @p252 (forall @t300 (= (_ @t435 @t298) @t296))) % 0.35/0.55 (assume @p253 (forall @t300 (= @t438 (_ @t435 @t437)))) % 0.35/0.55 (assume @p254 (forall @t300 (= (_ tptp.uminus_uminus_int @t309) @t439))) % 0.35/0.55 (assume @p255 (forall @t300 (= (_ @t308 @t437) @t298))) % 0.35/0.55 (assume @p256 (forall @t300 (= @t436 @t439))) % 0.35/0.55 (assume @p257 (forall @t344 (=> @t343 (= (_ @t308 @t342) (_ @t440 @t309))))) % 0.35/0.55 (assume @p258 (forall (@list @t347 @t173 @t295) (=> @t348 (= (_ tptp.uminus_uminus_int @t347) (_ @t440 @t434))))) % 0.35/0.55 (assume @p259 (forall @t300 (= @t438 (_ (_ tptp.plus_plus_int @t437) @t434)))) % 0.35/0.55 (assume @p260 (forall (@list @t296 @t295) (= (_ (_ tptp.minus_minus_int @t437) @t295) (_ (_ tptp.minus_minus_int 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(step @p451 :rule eq_resolve :premises (@p448 @p450)) % 0.35/0.55 (step @p452 :rule ho_cong :premises (@p415 @p451)) % 0.35/0.55 (step @p453 :rule ho_cong :premises (@p452 @p447)) % 0.35/0.55 (step @p454 :rule trans :premises (@p453 @p443)) % 0.35/0.55 (step @p455 :rule ho_cong :premises (@p419 @p454)) % 0.35/0.55 (step @p456 :rule ho_cong :premises (@p455 @p303)) % 0.35/0.55 (step @p457 :rule trans :premises (@p456 @p437)) % 0.35/0.55 (step @p458 :rule eq_resolve :premises (@p11 @p457)) % 0.35/0.55 (step @p459 :rule refl :args ((tptp.member449909584od_a_a @t448 @t8))) % 0.35/0.55 (step @p460 :rule refl :args ((tptp.product_Pair_a_a @t57 @t34))) % 0.35/0.55 (step @p461 :rule refl :args ((tptp.mult_a_ring_ext_a_b tptp.r @t32 @t31))) % 0.35/0.55 (step @p462 :rule cong :premises (@p286 @p389 @p426) :args (@t477)) % 0.35/0.55 (step @p463 :rule trans :premises (@p462 @p461)) % 0.35/0.55 (step @p464 :rule refl :args ((tptp.add_a_b tptp.r @t46 @t37))) % 0.35/0.55 (step @p465 :rule refl :args ((tptp.mult_a_ring_ext_a_b tptp.r @t32 @t36))) % 0.35/0.55 (step @p466 :rule cong :premises (@p286 @p389 @p427) :args (@t478)) % 0.35/0.55 (step @p467 :rule trans :premises (@p466 @p465)) % 0.35/0.55 (step @p468 :rule refl :args ((tptp.mult_a_ring_ext_a_b tptp.r @t31 @t45))) % 0.35/0.55 (step @p469 :rule cong :premises (@p286 @p426 @p390) :args (@t479)) % 0.35/0.55 (step @p470 :rule trans :premises (@p469 @p468)) % 0.35/0.55 (step @p471 :rule cong :premises (@p286 @p470 @p467) :args (@t480)) % 0.35/0.55 (step @p472 :rule trans :premises (@p471 @p464)) % 0.35/0.55 (step @p473 :rule cong :premises (@p472 @p463) :args (@t481)) % 0.35/0.55 (step @p474 :rule trans :premises (@p473 @p460)) % 0.35/0.55 (step @p475 :rule cong :premises (@p474 @p280) :args (@t482)) % 0.35/0.55 (step @p476 :rule trans :premises (@p475 @p459)) % 0.35/0.55 (step @p477 :rule ho_cong :premises (@p293 @p474)) % 0.35/0.55 (step @p478 :rule ho_cong :premises (@p477 @p280)) % 0.35/0.55 (step @p479 :rule cong :premises (@p478 @p476) :args ((= (_ (_ tptp.member449909584od_a_a @t481) @t455) @t482))) % 0.35/0.55 (step @p480 :rule symm :premises (@p479)) % 0.35/0.55 (step @p481 :rule refl :args (@t449)) % 0.35/0.55 (step @p482 :rule eq_resolve :premises (@p481 @p480)) % 0.35/0.55 (step @p483 :rule ho_cong :premises (@p304 @p472)) % 0.35/0.55 (step @p484 :rule ho_cong :premises (@p483 @p463)) % 0.35/0.55 (step @p485 :rule cong :premises (@p484 @p474) :args ((= (_ (_ tptp.product_Pair_a_a @t480) @t477) @t481))) % 0.35/0.55 (step @p486 :rule symm :premises (@p485)) % 0.35/0.55 (step @p487 :rule refl :args (@t448)) % 0.35/0.55 (step @p488 :rule eq_resolve :premises (@p487 @p486)) % 0.35/0.55 (step @p489 :rule refl :args (@t11)) % 0.35/0.55 (step @p490 :rule ho_cong :premises (@p489 @p389)) % 0.35/0.55 (step @p491 :rule ho_cong :premises (@p490 @p426)) % 0.35/0.55 (step @p492 :rule cong :premises (@p491 @p463) :args ((= (_ @t483 @t473) @t477))) % 0.35/0.55 (step @p493 :rule symm :premises (@p492)) % 0.35/0.55 (step @p494 :rule refl :args (@t34)) % 0.35/0.55 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 0.35/0.55 (step @p496 :rule refl :args (@t11)) % 0.35/0.55 (step @p497 :rule ho_cong :premises (@p496 @p410)) % 0.35/0.55 (step @p498 :rule ho_cong :premises (@p497 @p447)) % 0.35/0.55 (step @p499 :rule trans :premises (@p498 @p495)) % 0.35/0.55 (step @p500 :rule ho_cong :premises (@p315 @p470)) % 0.35/0.55 (step @p501 :rule ho_cong :premises (@p500 @p467)) % 0.35/0.55 (step @p502 :rule cong :premises (@p501 @p472) :args ((= (_ (_ @t3 @t479) @t478) @t480))) % 0.35/0.55 (step @p503 :rule symm :premises (@p502)) % 0.35/0.55 (step @p504 :rule refl :args (@t57)) % 0.35/0.55 (step @p505 :rule eq_resolve :premises (@p504 @p503)) % 0.35/0.55 (step @p506 :rule ho_cong :premises (@p490 @p427)) % 0.35/0.55 (step @p507 :rule cong :premises (@p506 @p467) :args ((= (_ @t483 @t474) @t478))) % 0.35/0.55 (step @p508 :rule symm :premises (@p507)) % 0.35/0.55 (step @p509 :rule refl :args (@t37)) % 0.35/0.55 (step @p510 :rule eq_resolve :premises (@p509 @p508)) % 0.35/0.55 (step @p511 :rule ho_cong :premises (@p497 @p451)) % 0.35/0.55 (step @p512 :rule trans :premises (@p511 @p510)) % 0.35/0.55 (step @p513 :rule ho_cong :premises (@p489 @p426)) % 0.35/0.55 (step @p514 :rule ho_cong :premises (@p513 @p390)) % 0.35/0.55 (step @p515 :rule cong :premises (@p514 @p470) :args ((= (_ (_ @t11 @t473) @t470) @t479))) % 0.35/0.55 (step @p516 :rule symm :premises (@p515)) % 0.35/0.55 (step @p517 :rule refl :args (@t46)) % 0.35/0.55 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 0.35/0.55 (step @p519 :rule ho_cong :premises (@p496 @p447)) % 0.35/0.55 (step @p520 :rule ho_cong :premises (@p519 @p414)) % 0.35/0.55 (step @p521 :rule trans :premises (@p520 @p518)) % 0.35/0.55 (step @p522 :rule refl :args (@t3)) % 0.35/0.55 (step @p523 :rule ho_cong :premises (@p522 @p521)) % 0.35/0.55 (step @p524 :rule ho_cong :premises (@p523 @p512)) % 0.35/0.55 (step @p525 :rule trans :premises (@p524 @p505)) % 0.35/0.55 (step @p526 :rule ho_cong :premises (@p415 @p525)) % 0.35/0.55 (step @p527 :rule ho_cong :premises (@p526 @p499)) % 0.35/0.55 (step @p528 :rule trans :premises (@p527 @p488)) % 0.35/0.55 (step @p529 :rule ho_cong :premises (@p419 @p528)) % 0.35/0.55 (step @p530 :rule ho_cong :premises (@p529 @p303)) % 0.35/0.55 (step @p531 :rule trans :premises (@p530 @p482)) % 0.35/0.55 (step @p532 :rule cong :premises (@p531) :args (@t450)) % 0.35/0.55 (step @p533 :rule eq_resolve :premises (@p275 @p532)) % 0.35/0.55 (step @p534 :rule cnf_or_pos :args (@t486)) % 0.35/0.55 (step @p535 :rule reordering :premises (@p534) :args ((or @t482 @t484 @t485 @t487))) % 0.35/0.55 (step @p536 :rule chain_m_resolution :premises (@p535 @p533 @p458 @p423) :args (@t487 (@list true false false) (@list @t482 @t476 @t472))) % 0.35/0.55 (assume-push @p543 @t488) % 0.35/0.55 (step @p538 :rule instantiate :premises (@p386) :args ((@list @t470 @t469 @t474 @t473))) % 0.35/0.55 (step-pop @p544 :rule scope :premises (@p538)) % 0.35/0.55 (step @p539 :rule process_scope :premises (@p544) :args (@t486)) % 0.35/0.55 (step @p541 :rule implies_elim :premises (@p539)) % 0.35/0.55 (step @p542 false :rule chain_m_resolution :premises (@p541 @p536 @p386) :args (false (@list true false) (@list @t486 @t488))) % 0.35/0.55 ) % 0.35/0.55 % SZS output end Proof % 0.35/0.55 % cvc5 exiting %------------------------------------------------------------------------------