%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP121^1 : 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 : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:07 AM UTC 2026 % Result : Theorem 1.12s 1.35s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP121^1 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:15:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.56 %----Proving TH0 % 1.12/1.35 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.12/1.35 % SZS status Theorem % 1.12/1.35 % SZS output start Proof % 1.12/1.35 ( % 1.12/1.35 (declare-sort tptp.a 0) % 1.12/1.35 (declare-sort tptp.set_a 0) % 1.12/1.35 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 1.12/1.35 (declare-const tptp.insert_a (-> tptp.a tptp.set_a tptp.set_a)) % 1.12/1.35 (declare-const tptp.inf_inf_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 1.12/1.35 (declare-const tptp.set_atLeast_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.set_a)) % 1.12/1.35 (declare-const tptp.set_atMost_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.set_a)) % 1.12/1.35 (declare-const tptp.bot_bot_set_a tptp.set_a) % 1.12/1.35 (declare-const tptp.lattic247676691_fin_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a tptp.a)) % 1.12/1.35 (declare-const tptp.less_eq (-> tptp.a tptp.a Bool)) % 1.12/1.35 (declare-const tptp.finite40241356em_a_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 1.12/1.35 (declare-const tptp.greatest_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 1.12/1.35 (declare-const tptp.modula17988509_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 1.12/1.35 (declare-const tptp.modula581031071_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 1.12/1.35 (declare-const tptp.b tptp.a) % 1.12/1.35 (declare-const tptp.modula1373251614_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 1.12/1.35 (declare-const tptp.a2 tptp.a) % 1.12/1.35 (declare-const tptp.c tptp.a) % 1.12/1.35 (declare-const tptp.modula1936294176_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 1.12/1.35 (declare-const tptp.modula1144073633_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 1.12/1.35 (declare-const tptp.inf (-> tptp.a tptp.a tptp.a)) % 1.12/1.35 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 1.12/1.35 (declare-const tptp.sup (-> tptp.a tptp.a tptp.a)) % 1.12/1.35 (declare-const tptp.modula1727524044comp_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool)) % 1.12/1.35 (declare-const tptp.mono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) % 1.12/1.35 (declare-const tptp.semilattice_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 1.12/1.35 (declare-const tptp.abel_semigroup_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 1.12/1.35 (declare-const tptp.antimono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) % 1.12/1.35 (declare-const tptp.lattic1885654924_set_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 1.12/1.35 (declare-const tptp.max_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) % 1.12/1.35 (declare-const tptp.condit1627435690bove_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 1.12/1.35 (declare-const tptp.min_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) % 1.12/1.35 (declare-const tptp.condit1001553558elow_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 1.12/1.35 (declare-const tptp.least_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 1.12/1.35 (declare-const tptp.finite_finite_a (-> tptp.set_a Bool)) % 1.12/1.35 (declare-const tptp.lattic1781219155_fin_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a tptp.a)) % 1.12/1.35 (define tptp.semigroup_a () (let ((_let_1 (@var "C3" tptp.a))) (let ((_let_2 (@var "B2" tptp.a))) (let ((_let_3 (@var "F2" (-> tptp.a tptp.a tptp.a)))) (let ((_let_4 (@var "A3" tptp.a))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (= (_ (_ _let_3 (_ _let_5 _let_2)) _let_1) (_ _let_5 (_ (_ _let_3 _let_2) _let_1))))))))))) % 1.12/1.35 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X3" 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))))))))) % 1.12/1.35 (define @t1 () (@var "C" tptp.a)) % 1.12/1.35 (define @t2 () (@var "B" tptp.a)) % 1.12/1.35 (define @t3 () (_ tptp.inf @t2)) % 1.12/1.35 (define @t4 () (_ @t3 @t1)) % 1.12/1.35 (define @t5 () (@var "A" tptp.a)) % 1.12/1.35 (define @t6 () (_ tptp.inf @t5)) % 1.12/1.35 (define @t7 () (_ @t6 @t4)) % 1.12/1.35 (define @t8 () (_ @t6 @t2)) % 1.12/1.35 (define @t9 () (_ tptp.inf @t8)) % 1.12/1.35 (define @t10 () (@list @t5 @t2 @t1)) % 1.12/1.35 (define @t11 () (@list @t5 @t2)) % 1.12/1.35 (define @t12 () (@list @t2 @t5 @t1)) % 1.12/1.35 (define @t13 () (@var "Z" tptp.a)) % 1.12/1.35 (define @t14 () (@var "Y" tptp.a)) % 1.12/1.35 (define @t15 () (_ tptp.inf @t14)) % 1.12/1.35 (define @t16 () (_ @t15 @t13)) % 1.12/1.35 (define @t17 () (@var "X" tptp.a)) % 1.12/1.35 (define @t18 () (_ tptp.inf @t17)) % 1.12/1.35 (define @t19 () (_ @t18 @t16)) % 1.12/1.35 (define @t20 () (_ @t18 @t14)) % 1.12/1.35 (define @t21 () (_ tptp.inf @t20)) % 1.12/1.35 (define @t22 () (@list @t17 @t14 @t13)) % 1.12/1.35 (define @t23 () (@list @t17 @t14)) % 1.12/1.35 (define @t24 () (_ @t18 @t13)) % 1.12/1.35 (define @t25 () (_ tptp.sup @t2)) % 1.12/1.35 (define @t26 () (_ @t25 @t1)) % 1.12/1.35 (define @t27 () (_ tptp.sup @t5)) % 1.12/1.35 (define @t28 () (_ @t27 @t26)) % 1.12/1.35 (define @t29 () (_ @t27 @t2)) % 1.12/1.35 (define @t30 () (_ tptp.sup @t29)) % 1.12/1.35 (define @t31 () (_ tptp.sup @t14)) % 1.12/1.35 (define @t32 () (_ @t31 @t13)) % 1.12/1.35 (define @t33 () (_ tptp.sup @t17)) % 1.12/1.35 (define @t34 () (_ @t33 @t32)) % 1.12/1.35 (define @t35 () (_ @t33 @t14)) % 1.12/1.35 (define @t36 () (_ @t33 @t13)) % 1.12/1.35 (define @t37 () (_ (_ tptp.inf @t35) @t36)) % 1.12/1.35 (define @t38 () (_ @t33 @t16)) % 1.12/1.35 (define @t39 () (@var "Z2" tptp.a)) % 1.12/1.35 (define @t40 () (@var "X2" tptp.a)) % 1.12/1.35 (define @t41 () (_ tptp.inf @t40)) % 1.12/1.35 (define @t42 () (@var "Y2" tptp.a)) % 1.12/1.35 (define @t43 () (_ @t41 @t42)) % 1.12/1.35 (define @t44 () (@list @t40 @t42 @t39)) % 1.12/1.35 (define @t45 () (_ (_ tptp.sup @t20) @t24)) % 1.12/1.35 (define @t46 () (_ @t18 @t32)) % 1.12/1.35 (define @t47 () (_ tptp.sup @t40)) % 1.12/1.35 (define @t48 () (_ (_ tptp.modula1936294176_aux_a tptp.inf) tptp.sup)) % 1.12/1.35 (define @t49 () (_ (_ (_ @t48 @t5) @t2) @t1)) % 1.12/1.35 (define @t50 () (_ @t27 @t49)) % 1.12/1.35 (define @t51 () (_ tptp.inf @t1)) % 1.12/1.35 (define @t52 () (_ @t51 @t5)) % 1.12/1.35 (define @t53 () (_ tptp.sup @t8)) % 1.12/1.35 (define @t54 () (_ @t25 @t49)) % 1.12/1.35 (define @t55 () (@list @t1 @t5 @t2)) % 1.12/1.35 (define @t56 () (@list @t2 @t1 @t5)) % 1.12/1.35 (define @t57 () (_ (_ tptp.modula1144073633_aux_a tptp.inf) tptp.sup)) % 1.12/1.35 (define @t58 () (_ (_ (_ @t57 @t5) @t2) @t1)) % 1.12/1.35 (define @t59 () (_ @t6 @t58)) % 1.12/1.35 (define @t60 () (_ tptp.sup @t1)) % 1.12/1.35 (define @t61 () (_ @t60 @t5)) % 1.12/1.35 (define @t62 () (_ @t3 @t58)) % 1.12/1.35 (define @t63 () (_ @t51 @t58)) % 1.12/1.35 (define @t64 () (@list @t5)) % 1.12/1.35 (define @t65 () (@list @t17)) % 1.12/1.35 (define @t66 () (_ (_ (_ @t48 tptp.a2) tptp.b) tptp.c)) % 1.12/1.35 (define @t67 () (_ tptp.sup tptp.a2)) % 1.12/1.35 (define @t68 () (_ @t67 @t66)) % 1.12/1.35 (define @t69 () (_ (_ (_ @t57 tptp.a2) tptp.b) tptp.c)) % 1.12/1.35 (define @t70 () (_ tptp.inf @t69)) % 1.12/1.35 (define @t71 () (_ @t70 @t68)) % 1.12/1.35 (define @t72 () (_ tptp.sup tptp.b)) % 1.12/1.35 (define @t73 () (_ @t72 @t66)) % 1.12/1.35 (define @t74 () (_ (_ tptp.inf @t73) @t69)) % 1.12/1.35 (define @t75 () (_ tptp.sup @t74)) % 1.12/1.35 (define @t76 () (_ @t75 @t71)) % 1.12/1.35 (define @t77 () (_ (_ (_ (_ (_ tptp.modula1373251614_aux_a tptp.inf) tptp.sup) @t5) @t2) @t1)) % 1.12/1.35 (define @t78 () (_ (_ (_ (_ (_ tptp.modula581031071_aux_a tptp.inf) tptp.sup) @t5) @t2) @t1)) % 1.12/1.35 (define @t79 () (_ (_ tptp.modula17988509_aux_a tptp.inf) tptp.sup)) % 1.12/1.35 (define @t80 () (_ (_ (_ @t79 @t5) @t2) @t1)) % 1.12/1.35 (define @t81 () (@var "P" (-> tptp.a Bool))) % 1.12/1.35 (define @t82 () (_ tptp.collect_a @t81)) % 1.12/1.35 (define @t83 () (_ tptp.member_a @t5)) % 1.12/1.35 (define @t84 () (@var "A2" tptp.set_a)) % 1.12/1.35 (define @t85 () (@var "X3" tptp.a)) % 1.12/1.35 (define @t86 () (_ tptp.member_a @t85)) % 1.12/1.35 (define @t87 () (_ @t86 @t84)) % 1.12/1.35 (define @t88 () (@list @t85)) % 1.12/1.35 (define @t89 () (@list @t84)) % 1.12/1.35 (define @t90 () (@var "Q" (-> tptp.a Bool))) % 1.12/1.35 (define @t91 () (_ tptp.collect_a @t90)) % 1.12/1.35 (define @t92 () (_ @t90 @t40)) % 1.12/1.35 (define @t93 () (_ @t81 @t40)) % 1.12/1.35 (define @t94 () (@list @t40)) % 1.12/1.35 (define @t95 () (@list @t81 @t90)) % 1.12/1.35 (define @t96 () (= @t17 @t14)) % 1.12/1.35 (define @t97 () (_ tptp.less_eq @t14)) % 1.12/1.35 (define @t98 () (_ @t97 @t17)) % 1.12/1.35 (define @t99 () (_ tptp.less_eq @t17)) % 1.12/1.35 (define @t100 () (_ @t99 @t14)) % 1.12/1.35 (define @t101 () (@list @t14 @t17)) % 1.12/1.35 (define @t102 () (= @t5 @t2)) % 1.12/1.35 (define @t103 () (_ tptp.less_eq @t5)) % 1.12/1.35 (define @t104 () (_ @t103 @t2)) % 1.12/1.35 (define @t105 () (_ tptp.less_eq @t2)) % 1.12/1.35 (define @t106 () (_ @t105 @t5)) % 1.12/1.35 (define @t107 () (@list @t2 @t5)) % 1.12/1.35 (define @t108 () (@var "B2" tptp.a)) % 1.12/1.35 (define @t109 () (@var "A3" tptp.a)) % 1.12/1.35 (define @t110 () (_ (_ tptp.less_eq @t109) @t108)) % 1.12/1.35 (define @t111 () (_ (_ tptp.less_eq @t108) @t109)) % 1.12/1.35 (define @t112 () (@list @t109 @t108)) % 1.12/1.35 (define @t113 () (@var "Z3" tptp.a)) % 1.12/1.35 (define @t114 () (@var "Y3" tptp.a)) % 1.12/1.35 (define @t115 () (lambda (@list @t114 @t113) (= @t114 @t113))) % 1.12/1.35 (define @t116 () (_ tptp.less_eq @t1)) % 1.12/1.35 (define @t117 () (_ @t116 @t5)) % 1.12/1.35 (define @t118 () (_ @t116 @t2)) % 1.12/1.35 (define @t119 () (@var "Y4" tptp.a)) % 1.12/1.35 (define @t120 () (_ tptp.less_eq @t85)) % 1.12/1.35 (define @t121 () (_ @t120 @t119)) % 1.12/1.35 (define @t122 () (@list @t85 @t119)) % 1.12/1.35 (define @t123 () (_ @t103 @t1)) % 1.12/1.35 (define @t124 () (_ @t105 @t1)) % 1.12/1.35 (define @t125 () (=> @t124 @t123)) % 1.12/1.35 (define @t126 () (_ @t99 @t13)) % 1.12/1.35 (define @t127 () (_ @t97 @t13)) % 1.12/1.35 (define @t128 () (_ tptp.less_eq @t8)) % 1.12/1.35 (define @t129 () (_ @t128 @t17)) % 1.12/1.35 (define @t130 () (_ @t105 @t17)) % 1.12/1.35 (define @t131 () (_ @t103 @t17)) % 1.12/1.35 (define @t132 () (@list @t5 @t17 @t2)) % 1.12/1.35 (define @t133 () (_ @t99 @t8)) % 1.12/1.35 (define @t134 () (_ @t99 @t2)) % 1.12/1.35 (define @t135 () (_ @t99 @t5)) % 1.12/1.35 (define @t136 () (@list @t17 @t5 @t2)) % 1.12/1.35 (define @t137 () (= @t20 @t17)) % 1.12/1.35 (define @t138 () (@var "F" (-> tptp.a tptp.a tptp.a))) % 1.12/1.35 (define @t139 () (_ (_ @t138 @t17) @t14)) % 1.12/1.35 (define @t140 () (_ (_ @t138 @t42) @t39)) % 1.12/1.35 (define @t141 () (_ tptp.less_eq @t40)) % 1.12/1.35 (define @t142 () (_ @t141 @t42)) % 1.12/1.35 (define @t143 () (_ (_ @t138 @t40) @t42)) % 1.12/1.35 (define @t144 () (_ tptp.less_eq @t143)) % 1.12/1.35 (define @t145 () (@list @t40 @t42)) % 1.12/1.35 (define @t146 () (@list @t138 @t17 @t14)) % 1.12/1.35 (define @t147 () (@var "D" tptp.a)) % 1.12/1.35 (define @t148 () (_ @t105 @t147)) % 1.12/1.35 (define @t149 () (@list @t5 @t1 @t2 @t147)) % 1.12/1.35 (define @t150 () (_ tptp.less_eq @t20)) % 1.12/1.35 (define @t151 () (_ @t150 @t14)) % 1.12/1.35 (define @t152 () (forall @t23 @t151)) % 1.12/1.35 (define @t153 () (_ @t99 @t16)) % 1.12/1.35 (define @t154 () (= @t5 @t8)) % 1.12/1.35 (define @t155 () (_ @t128 @t1)) % 1.12/1.35 (define @t156 () (_ @t103 @t4)) % 1.12/1.35 (define @t157 () (= @t8 @t2)) % 1.12/1.35 (define @t158 () (= @t8 @t5)) % 1.12/1.35 (define @t159 () (_ tptp.less_eq @t42)) % 1.12/1.35 (define @t160 () (_ @t60 @t147)) % 1.12/1.35 (define @t161 () (_ tptp.less_eq @t29)) % 1.12/1.35 (define @t162 () (= @t35 @t14)) % 1.12/1.35 (define @t163 () (= @t5 @t29)) % 1.12/1.35 (define @t164 () (_ @t116 @t29)) % 1.12/1.35 (define @t165 () (_ (_ tptp.less_eq @t26) @t5)) % 1.12/1.35 (define @t166 () (= @t29 @t2)) % 1.12/1.35 (define @t167 () (= @t29 @t5)) % 1.12/1.35 (define @t168 () (_ @t99 @t29)) % 1.12/1.35 (define @t169 () (_ @t161 @t17)) % 1.12/1.35 (define @t170 () (_ @t15 @t36)) % 1.12/1.35 (define @t171 () (= @t38 @t170)) % 1.12/1.35 (define @t172 () (forall @t22 (=> @t100 @t171))) % 1.12/1.35 (define @t173 () (not @t100)) % 1.12/1.35 (define @t174 () (_ (_ tptp.greatest_a tptp.less_eq) @t81)) % 1.12/1.35 (define @t175 () (@var "Y5" tptp.a)) % 1.12/1.35 (define @t176 () (_ @t81 @t175)) % 1.12/1.35 (define @t177 () (@list @t175)) % 1.12/1.35 (define @t178 () (_ @t81 @t42)) % 1.12/1.35 (define @t179 () (@list @t42)) % 1.12/1.35 (define @t180 () (forall @t179 (=> @t178 (_ @t159 @t17)))) % 1.12/1.35 (define @t181 () (_ @t81 @t17)) % 1.12/1.35 (define @t182 () (@list @t81 @t17 @t90)) % 1.12/1.35 (define @t183 () (@list @t81 @t17)) % 1.12/1.35 (define @t184 () (_ (_ (_ tptp.max_a tptp.less_eq) @t5) @t2)) % 1.12/1.35 (define @t185 () (not @t104)) % 1.12/1.35 (define @t186 () (_ (_ (_ tptp.min_a tptp.less_eq) @t5) @t2)) % 1.12/1.35 (define @t187 () (_ (_ tptp.less_eq @t49) @t58)) % 1.12/1.35 (define @t188 () (_ (_ tptp.least_a tptp.less_eq) @t81)) % 1.12/1.35 (define @t189 () (@var "X4" tptp.a)) % 1.12/1.35 (define @t190 () (@var "Ya" tptp.a)) % 1.12/1.35 (define @t191 () (exists (@list @t189) (and (_ @t81 @t189) (forall @t179 (=> @t178 (_ (_ tptp.less_eq @t189) @t42))) (forall @t179 (=> (and @t178 (forall (@list @t190) (=> (_ @t81 @t190) (_ @t159 @t190)))) (= @t42 @t189)))))) % 1.12/1.35 (define @t192 () (@list @t81)) % 1.12/1.35 (define @t193 () (forall @t179 (=> @t178 (_ @t99 @t42)))) % 1.12/1.35 (define @t194 () (_ tptp.semigroup_a @t138)) % 1.12/1.35 (define @t195 () (_ tptp.abel_semigroup_a @t138)) % 1.12/1.35 (define @t196 () (@list @t138)) % 1.12/1.35 (define @t197 () (_ tptp.lattic1885654924_set_a @t138)) % 1.12/1.35 (define @t198 () (_ tptp.semilattice_a @t138)) % 1.12/1.35 (define @t199 () (@var "M" tptp.a)) % 1.12/1.35 (define @t200 () (_ tptp.condit1627435690bove_a tptp.less_eq)) % 1.12/1.35 (define @t201 () (_ @t200 @t84)) % 1.12/1.35 (define @t202 () (@var "M2" tptp.a)) % 1.12/1.35 (define @t203 () (_ tptp.condit1001553558elow_a tptp.less_eq)) % 1.12/1.35 (define @t204 () (_ @t203 @t84)) % 1.12/1.35 (define @t205 () (@var "M3" tptp.a)) % 1.12/1.35 (define @t206 () (_ tptp.member_a @t40)) % 1.12/1.35 (define @t207 () (_ @t206 @t84)) % 1.12/1.35 (define @t208 () (@var "M4" tptp.a)) % 1.12/1.35 (define @t209 () (_ @t138 @t2)) % 1.12/1.35 (define @t210 () (_ @t138 @t5)) % 1.12/1.35 (define @t211 () (_ @t210 (_ @t209 @t1))) % 1.12/1.35 (define @t212 () (_ @t210 @t2)) % 1.12/1.35 (define @t213 () (_ @t138 @t212)) % 1.12/1.35 (define @t214 () (@list @t138 @t5 @t2)) % 1.12/1.35 (define @t215 () (@var "C2" tptp.a)) % 1.12/1.35 (define @t216 () (@var "B3" tptp.a)) % 1.12/1.35 (define @t217 () (@var "A4" tptp.a)) % 1.12/1.35 (define @t218 () (_ @t138 @t217)) % 1.12/1.35 (define @t219 () (@var "B4" tptp.set_a)) % 1.12/1.35 (define @t220 () (_ tptp.ord_less_eq_set_a @t84)) % 1.12/1.35 (define @t221 () (_ @t220 @t219)) % 1.12/1.35 (define @t222 () (_ @t203 @t219)) % 1.12/1.35 (define @t223 () (@list @t219 @t84)) % 1.12/1.35 (define @t224 () (_ @t200 @t219)) % 1.12/1.35 (define @t225 () (_ tptp.finite_finite_a @t84)) % 1.12/1.35 (define @t226 () (@var "Xa" tptp.a)) % 1.12/1.35 (define @t227 () (= @t40 @t226)) % 1.12/1.35 (define @t228 () (_ (_ tptp.member_a @t226) @t84)) % 1.12/1.35 (define @t229 () (@list @t226)) % 1.12/1.35 (define @t230 () (forall @t229 (=> @t228 (=> (_ @t141 @t226) @t227)))) % 1.12/1.35 (define @t231 () (_ @t83 @t84)) % 1.12/1.35 (define @t232 () (@list @t84 @t5)) % 1.12/1.35 (define @t233 () (forall @t229 (=> @t228 (=> (_ (_ tptp.less_eq @t226) @t40) @t227)))) % 1.12/1.35 (define @t234 () (@var "F" (-> tptp.a tptp.set_a))) % 1.12/1.35 (define @t235 () (_ @t234 @t17)) % 1.12/1.35 (define @t236 () (_ @t234 @t14)) % 1.12/1.35 (define @t237 () (_ (_ tptp.antimono_a_set_a tptp.less_eq) @t234)) % 1.12/1.35 (define @t238 () (@list @t234 @t17 @t14)) % 1.12/1.35 (define @t239 () (_ @t234 @t40)) % 1.12/1.35 (define @t240 () (_ @t234 @t42)) % 1.12/1.35 (define @t241 () (@list @t234)) % 1.12/1.35 (define @t242 () (_ @t234 @t85)) % 1.12/1.35 (define @t243 () (_ @t234 @t119)) % 1.12/1.35 (define @t244 () (_ (_ tptp.mono_a_set_a tptp.less_eq) @t234)) % 1.12/1.35 (define @t245 () (_ tptp.lattic1781219155_fin_a tptp.sup)) % 1.12/1.35 (define @t246 () (_ @t245 @t84)) % 1.12/1.35 (define @t247 () (_ tptp.lattic247676691_fin_a tptp.inf)) % 1.12/1.35 (define @t248 () (_ @t247 @t84)) % 1.12/1.35 (define @t249 () (_ tptp.less_eq @t248)) % 1.12/1.35 (define @t250 () (_ @t33 @t246)) % 1.12/1.35 (define @t251 () (_ tptp.member_a @t17)) % 1.12/1.35 (define @t252 () (_ @t251 @t84)) % 1.12/1.35 (define @t253 () (@list @t84 @t17)) % 1.12/1.35 (define @t254 () (_ @t18 @t248)) % 1.12/1.35 (define @t255 () (= @t84 tptp.bot_bot_set_a)) % 1.12/1.35 (define @t256 () (not @t255)) % 1.12/1.35 (define @t257 () (_ @t245 @t219)) % 1.12/1.35 (define @t258 () (_ tptp.less_eq @t246)) % 1.12/1.35 (define @t259 () (_ tptp.finite_finite_a @t219)) % 1.12/1.35 (define @t260 () (@list @t84 @t219)) % 1.12/1.35 (define @t261 () (_ @t247 @t219)) % 1.12/1.35 (define @t262 () (_ tptp.ord_less_eq_set_a @t219)) % 1.12/1.35 (define @t263 () (_ @t262 @t84)) % 1.12/1.35 (define @t264 () (not (= @t219 tptp.bot_bot_set_a))) % 1.12/1.35 (define @t265 () (_ @t99 @t248)) % 1.12/1.35 (define @t266 () (_ (_ tptp.member_a @t217) @t84)) % 1.12/1.35 (define @t267 () (@list @t217)) % 1.12/1.35 (define @t268 () (@var "A5" tptp.a)) % 1.12/1.35 (define @t269 () (_ (_ tptp.member_a @t268) @t84)) % 1.12/1.35 (define @t270 () (@list @t268)) % 1.12/1.35 (define @t271 () (_ @t258 @t17)) % 1.12/1.35 (define @t272 () (@var "H" tptp.a)) % 1.12/1.35 (define @t273 () (_ tptp.set_atMost_a tptp.less_eq)) % 1.12/1.35 (define @t274 () (@var "L" tptp.a)) % 1.12/1.35 (define @t275 () (_ tptp.set_atLeast_a tptp.less_eq)) % 1.12/1.35 (define @t276 () (@var "I" tptp.a)) % 1.12/1.35 (define @t277 () (@var "K" tptp.a)) % 1.12/1.35 (define @t278 () (_ tptp.member_a @t276)) % 1.12/1.35 (define @t279 () (@list @t276 @t277)) % 1.12/1.35 (define @t280 () (_ tptp.member_a @t1)) % 1.12/1.35 (define @t281 () (_ @t81 @t85)) % 1.12/1.35 (define @t282 () (forall @t88 (not @t281))) % 1.12/1.35 (define @t283 () (= @t84 @t219)) % 1.12/1.35 (define @t284 () (@var "B5" tptp.set_a)) % 1.12/1.35 (define @t285 () (@var "T" tptp.a)) % 1.12/1.35 (define @t286 () (_ tptp.member_a @t285)) % 1.12/1.35 (define @t287 () (@var "A6" tptp.set_a)) % 1.12/1.35 (define @t288 () (@list @t287 @t284)) % 1.12/1.35 (define @t289 () (_ (_ tptp.ord_less_eq_set_a @t82) @t91)) % 1.12/1.35 (define @t290 () (@var "C4" tptp.set_a)) % 1.12/1.35 (define @t291 () (@var "Z3" tptp.set_a)) % 1.12/1.35 (define @t292 () (@var "Y3" tptp.set_a)) % 1.12/1.35 (define @t293 () (@var "B4" tptp.a)) % 1.12/1.35 (define @t294 () (@var "A2" tptp.a)) % 1.12/1.35 (define @t295 () (_ (_ tptp.insert_a @t17) @t84)) % 1.12/1.35 (define @t296 () (not @t252)) % 1.12/1.35 (define @t297 () (_ (_ tptp.inf_inf_set_a @t84) @t219)) % 1.12/1.35 (define @t298 () (_ @t203 @t297)) % 1.12/1.35 (define @t299 () (_ @t200 @t297)) % 1.12/1.35 (define @t300 () (_ tptp.ord_less_eq_set_a @t290)) % 1.12/1.35 (define @t301 () (@var "A" tptp.set_a)) % 1.12/1.35 (define @t302 () (_ tptp.inf_inf_set_a @t301)) % 1.12/1.35 (define @t303 () (@var "X" tptp.set_a)) % 1.12/1.35 (define @t304 () (_ tptp.inf_inf_set_a @t303)) % 1.12/1.35 (define @t305 () (@var "B" tptp.set_a)) % 1.12/1.35 (define @t306 () (_ @t302 @t305)) % 1.12/1.35 (define @t307 () (@list @t301 @t305)) % 1.12/1.35 (define @t308 () (@var "Y" tptp.set_a)) % 1.12/1.35 (define @t309 () (_ @t304 @t308)) % 1.12/1.35 (define @t310 () (@list @t303 @t308)) % 1.12/1.35 (define @t311 () (_ @t75 @t68)) % 1.12/1.35 (define @t312 () (_ @t70 @t311)) % 1.12/1.35 (define @t313 () (= @t76 @t312)) % 1.12/1.35 (define @t314 () (not @t313)) % 1.12/1.35 (define @t315 () (@var "C3" tptp.a)) % 1.12/1.35 (define @t316 () (@var "F2" (-> tptp.a tptp.a tptp.a))) % 1.12/1.35 (define @t317 () (_ @t316 @t109)) % 1.12/1.35 (define @t318 () (lambda (@list @t316) (forall (@list @t109 @t108 @t315) (= (_ (_ @t316 (_ @t317 @t108)) @t315) (_ @t317 (_ (_ @t316 @t108) @t315)))))) % 1.12/1.35 (define @t319 () (lambda @t288 (forall @t88 (=> (_ @t86 @t287) (_ @t86 @t284))))) % 1.12/1.35 (define @t320 () (tptp.modula1936294176_aux_a tptp.inf tptp.sup tptp.a2 tptp.b tptp.c)) % 1.12/1.35 (define @t321 () (tptp.sup tptp.a2 @t320)) % 1.12/1.35 (define @t322 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup tptp.a2 tptp.b tptp.c)) % 1.12/1.35 (define @t323 () (tptp.sup tptp.b @t320)) % 1.12/1.35 (define @t324 () (tptp.inf @t323 @t322)) % 1.12/1.35 (define @t325 () (tptp.sup @t324 @t321)) % 1.12/1.35 (define @t326 () (tptp.inf @t322 @t325)) % 1.12/1.35 (define @t327 () (_ tptp.inf @t322)) % 1.12/1.35 (define @t328 () (_ tptp.sup @t324)) % 1.12/1.35 (define @t329 () (tptp.inf @t322 @t321)) % 1.12/1.35 (define @t330 () (tptp.sup @t324 @t329)) % 1.12/1.35 (define @t331 () (tptp.sup @t17 @t13)) % 1.12/1.35 (define @t332 () (tptp.inf @t14 @t331)) % 1.12/1.35 (define @t333 () (tptp.inf @t14 @t13)) % 1.12/1.35 (define @t334 () (tptp.sup @t17 @t333)) % 1.12/1.35 (define @t335 () (tptp.less_eq @t17 @t14)) % 1.12/1.35 (define @t336 () (or @t173 @t171)) % 1.12/1.35 (define @t337 () (tptp.inf @t17 @t14)) % 1.12/1.35 (define @t338 () (tptp.less_eq @t337 @t14)) % 1.12/1.35 (define @t339 () (= @t330 @t326)) % 1.12/1.35 (define @t340 () (tptp.less_eq @t324 @t322)) % 1.12/1.35 (define @t341 () (not @t340)) % 1.12/1.35 (define @t342 () (or @t341 @t339)) % 1.12/1.35 (assume @p1 (forall @t10 (= (_ @t9 @t1) @t7))) % 1.12/1.35 (assume @p2 (forall @t11 (= @t8 (_ @t3 @t5)))) % 1.12/1.35 (assume @p3 (forall @t12 (= (_ @t3 (_ @t6 @t1)) @t7))) % 1.12/1.35 (assume @p4 (forall @t22 (= (_ @t21 @t13) @t19))) % 1.12/1.35 (assume @p5 (forall @t23 (= @t20 (_ @t15 @t17)))) % 1.12/1.35 (assume @p6 (forall @t22 (= @t19 (_ @t15 @t24)))) % 1.12/1.35 (assume @p7 (forall @t10 (= (_ @t30 @t1) @t28))) % 1.12/1.35 (assume @p8 (forall @t11 (= @t29 (_ @t25 @t5)))) % 1.12/1.35 (assume @p9 (forall @t12 (= (_ @t25 (_ @t27 @t1)) @t28))) % 1.12/1.35 (assume @p10 (forall @t22 (= (_ (_ tptp.sup @t35) @t13) @t34))) % 1.12/1.35 (assume @p11 (forall @t23 (= @t35 (_ @t31 @t17)))) % 1.12/1.35 (assume @p12 (forall @t22 (= @t34 (_ @t31 @t36)))) % 1.12/1.35 (assume @p13 (forall @t22 (=> (forall @t44 (= (_ @t41 (_ (_ tptp.sup @t42) @t39)) (_ (_ tptp.sup @t43) (_ @t41 @t39)))) (= @t38 @t37)))) % 1.12/1.35 (assume @p14 (forall @t22 (=> (forall @t44 (= (_ @t47 (_ (_ tptp.inf @t42) @t39)) (_ (_ tptp.inf (_ @t47 @t42)) (_ @t47 @t39)))) (= @t46 @t45)))) % 1.12/1.35 (assume @p15 (forall @t10 (= @t50 (_ @t27 @t4)))) % 1.12/1.35 (assume @p16 (forall @t10 (= (_ @t6 @t49) (_ @t53 @t52)))) % 1.12/1.35 (assume @p17 (forall @t12 (= @t54 (_ @t25 @t52)))) % 1.12/1.35 (assume @p18 (forall @t12 (= (_ @t3 @t49) (_ (_ tptp.sup @t4) @t8)))) % 1.12/1.35 (assume @p19 (forall @t55 (= (_ @t51 @t49) (_ (_ tptp.sup @t52) @t4)))) % 1.12/1.35 (assume @p20 (forall @t10 (= @t49 (_ (_ tptp.sup (_ @t53 @t4)) @t52)))) % 1.12/1.35 (assume @p21 (forall @t56 (= (_ (_ (_ @t48 @t2) @t1) @t5) @t49))) % 1.12/1.35 (assume @p22 (forall @t55 (= (_ (_ (_ @t48 @t1) @t5) @t2) @t49))) % 1.12/1.35 (assume @p23 (forall @t10 (= @t59 (_ @t6 @t26)))) % 1.12/1.35 (assume @p24 (forall @t12 (= @t62 (_ @t3 @t61)))) % 1.12/1.35 (assume @p25 (forall @t55 (= @t63 (_ @t51 @t29)))) % 1.12/1.35 (assume @p26 (forall @t10 (= @t58 (_ (_ tptp.inf (_ (_ tptp.inf @t29) @t26)) @t61)))) % 1.12/1.35 (assume @p27 (forall @t56 (= (_ (_ (_ @t57 @t2) @t1) @t5) @t58))) % 1.12/1.35 (assume @p28 (forall @t55 (= (_ (_ (_ @t57 @t1) @t5) @t2) @t58))) % 1.12/1.35 (assume @p29 (forall @t64 (= (_ @t6 @t5) @t5))) % 1.12/1.35 (assume @p30 (forall @t11 (= (_ @t6 @t8) @t8))) % 1.12/1.35 (assume @p31 (forall @t11 (= (_ @t9 @t2) @t8))) % 1.12/1.35 (assume @p32 (forall @t65 (= (_ @t18 @t17) @t17))) % 1.12/1.35 (assume @p33 (forall @t23 (= (_ @t18 @t20) @t20))) % 1.12/1.35 (assume @p34 (forall @t23 (= (_ @t21 @t14) @t20))) % 1.12/1.35 (assume @p35 (forall @t64 (= (_ @t27 @t5) @t5))) % 1.12/1.35 (assume @p36 (forall @t11 (= (_ @t27 @t29) @t29))) % 1.12/1.35 (assume @p37 (forall @t11 (= (_ @t30 @t2) @t29))) % 1.12/1.35 (assume @p38 (forall @t65 (= (_ @t33 @t17) @t17))) % 1.12/1.35 (assume @p39 (forall @t23 (= (_ @t33 @t35) @t35))) % 1.12/1.35 (assume @p40 (= (_ (_ tptp.sup (_ (_ tptp.inf @t68) @t69)) @t74) @t76)) % 1.12/1.35 (assume @p41 (forall @t23 (= (_ @t18 @t35) @t17))) % 1.12/1.35 (assume @p42 (forall @t23 (= (_ @t33 @t20) @t17))) % 1.12/1.35 (assume @p43 (forall @t10 (= @t77 (_ (_ tptp.sup @t62) @t49)))) % 1.12/1.35 (assume @p44 (forall @t10 (= @t78 (_ (_ tptp.sup @t63) @t49)))) % 1.12/1.35 (assume @p45 (forall @t10 (= @t80 (_ (_ tptp.sup @t59) @t49)))) % 1.12/1.35 (assume @p46 (forall (@list @t5 @t81) (= (_ @t83 @t82) (_ @t81 @t5)))) % 1.12/1.35 (assume @p47 (forall @t89 (= (_ tptp.collect_a (lambda @t88 @t87)) @t84))) % 1.12/1.35 (assume @p48 (forall @t95 (=> (forall @t94 (= @t93 @t92)) (= @t82 @t91)))) % 1.12/1.35 (assume @p49 (= tptp.modula1936294176_aux_a tptp.modula1936294176_aux_a)) % 1.12/1.35 (assume @p50 (= tptp.modula1144073633_aux_a tptp.modula1144073633_aux_a)) % 1.12/1.35 (assume @p51 (_ (_ tptp.less_eq @t66) @t69)) % 1.12/1.35 (assume @p52 (_ tptp.finite40241356em_a_a tptp.sup)) % 1.12/1.35 (assume @p53 (_ tptp.finite40241356em_a_a tptp.inf)) % 1.12/1.35 (assume @p54 (_ tptp.semigroup_a tptp.sup)) % 1.12/1.35 (assume @p55 (_ tptp.semigroup_a tptp.inf)) % 1.12/1.35 (assume @p56 (_ tptp.semilattice_a tptp.sup)) % 1.12/1.35 (assume @p57 (_ tptp.semilattice_a tptp.inf)) % 1.12/1.35 (assume @p58 (_ tptp.abel_semigroup_a tptp.sup)) % 1.12/1.35 (assume @p59 (_ tptp.abel_semigroup_a tptp.inf)) % 1.12/1.35 (assume @p60 (_ tptp.lattic1885654924_set_a tptp.sup)) % 1.12/1.35 (assume @p61 (_ tptp.lattic1885654924_set_a tptp.inf)) % 1.12/1.35 (assume @p62 (forall @t10 (= @t77 (_ (_ (_ @t79 @t2) @t1) @t5)))) % 1.12/1.35 (assume @p63 (forall @t23 (=> @t100 (=> @t98 @t96)))) % 1.12/1.35 (assume @p64 (forall @t101 (=> @t98 (= @t100 @t96)))) % 1.12/1.35 (assume @p65 (forall @t107 (=> @t106 (=> @t104 @t102)))) % 1.12/1.35 (assume @p66 (= @t115 (lambda @t112 (and @t111 @t110)))) % 1.12/1.35 (assume @p67 (forall @t12 (=> @t106 (=> @t118 @t117)))) % 1.12/1.35 (assume @p68 (= @t115 (lambda @t122 (and @t121 (_ (_ tptp.less_eq @t119) @t85))))) % 1.12/1.35 (assume @p69 (forall @t23 (=> @t96 @t100))) % 1.12/1.35 (assume @p70 (forall @t10 (=> @t102 @t125))) % 1.12/1.35 (assume @p71 (forall @t10 (=> @t104 (=> (= @t2 @t1) @t123)))) % 1.12/1.35 (assume @p72 (forall @t11 (=> @t104 (=> @t106 @t102)))) % 1.12/1.35 (assume @p73 (= @t115 (lambda @t112 (and @t110 @t111)))) % 1.12/1.35 (assume @p74 (forall @t10 (=> @t104 @t125))) % 1.12/1.35 (assume @p75 (forall @t22 (=> @t100 (=> @t127 @t126)))) % 1.12/1.35 (assume @p76 (forall (@list @t2 @t17 @t5) (=> @t130 @t129))) % 1.12/1.35 (assume @p77 (forall @t132 (=> @t131 @t129))) % 1.12/1.35 (assume @p78 (forall @t136 (=> @t135 (=> @t134 @t133)))) % 1.12/1.35 (assume @p79 (forall @t136 (=> @t133 (not (=> @t135 (not @t134)))))) % 1.12/1.35 (assume @p80 (forall @t23 (= @t100 @t137))) % 1.12/1.35 (assume @p81 (forall @t146 (=> (forall @t145 (_ @t144 @t40)) (=> (forall @t145 (_ @t144 @t42)) (=> (forall @t44 (=> @t142 (=> (_ @t141 @t39) (_ @t141 @t140)))) (= @t20 @t139)))))) % 1.12/1.35 (assume @p82 (forall @t149 (=> @t123 (=> @t148 (_ @t128 (_ @t51 @t147)))))) % 1.12/1.35 (assume @p83 @t152) % 1.12/1.35 (assume @p84 (forall @t23 (_ @t150 @t17))) % 1.12/1.35 (assume @p85 (forall @t22 (=> @t100 (=> @t126 @t153)))) % 1.12/1.35 (assume @p86 (forall @t101 (=> @t98 (= @t20 @t14)))) % 1.12/1.35 (assume @p87 (forall @t23 (=> @t100 @t137))) % 1.12/1.35 (assume @p88 (forall @t11 (= @t104 @t154))) % 1.12/1.35 (assume @p89 (forall @t11 (=> @t154 @t104))) % 1.12/1.35 (assume @p90 (forall @t11 (=> @t104 @t154))) % 1.12/1.35 (assume @p91 (forall @t56 (=> @t124 @t155))) % 1.12/1.35 (assume @p92 (forall (@list @t5 @t1 @t2) (=> @t123 @t155))) % 1.12/1.35 (assume @p93 (forall @t11 (_ @t128 @t2))) % 1.12/1.35 (assume @p94 (forall @t11 (_ @t128 @t5))) % 1.12/1.35 (assume @p95 (forall @t10 (=> @t104 (=> @t123 @t156)))) % 1.12/1.35 (assume @p96 (forall @t10 (=> @t156 (not (=> @t104 (not @t123)))))) % 1.12/1.35 (assume @p97 (forall @t107 (= @t106 @t157))) % 1.12/1.35 (assume @p98 (forall @t11 (= @t104 @t158))) % 1.12/1.35 (assume @p99 (forall @t107 (=> @t106 @t157))) % 1.12/1.35 (assume @p100 (forall @t11 (=> @t104 @t158))) % 1.12/1.35 (assume @p101 (forall @t146 (=> (forall @t145 (_ @t141 @t143)) (=> (forall @t145 (_ @t159 @t143)) (=> (forall @t44 (=> (_ @t159 @t40) (=> (_ (_ tptp.less_eq @t39) @t40) (_ (_ tptp.less_eq @t140) @t40)))) (= @t35 @t139)))))) % 1.12/1.35 (assume @p102 (forall @t149 (=> @t123 (=> @t148 (_ @t161 @t160))))) % 1.12/1.35 (assume @p103 (forall (@list @t14 @t17 @t13) (=> @t98 (=> (_ (_ tptp.less_eq @t13) @t17) (_ (_ tptp.less_eq @t32) @t17))))) % 1.12/1.35 (assume @p104 (forall @t101 (_ @t97 @t35))) % 1.12/1.35 (assume @p105 (forall @t23 (_ @t99 @t35))) % 1.12/1.35 (assume @p106 (forall @t23 (=> @t100 @t162))) % 1.12/1.35 (assume @p107 (forall @t101 (=> @t98 (= @t35 @t17)))) % 1.12/1.35 (assume @p108 (forall @t107 (= @t106 @t163))) % 1.12/1.35 (assume @p109 (forall @t11 (=> @t163 @t106))) % 1.12/1.35 (assume @p110 (forall @t107 (=> @t106 @t163))) % 1.12/1.35 (assume @p111 (forall (@list @t1 @t5 @t147 @t2) (=> @t117 (=> (_ (_ tptp.less_eq @t147) @t2) (_ (_ tptp.less_eq @t160) @t29))))) % 1.12/1.35 (assume @p112 (forall (@list @t1 @t2 @t5) (=> @t118 @t164))) % 1.12/1.35 (assume @p113 (forall @t55 (=> @t117 @t164))) % 1.12/1.35 (assume @p114 (forall @t107 (_ @t105 @t29))) % 1.12/1.35 (assume @p115 (forall @t11 (_ @t103 @t29))) % 1.12/1.35 (assume @p116 (forall @t12 (=> @t106 (=> @t117 @t165)))) % 1.12/1.35 (assume @p117 (forall @t56 (=> @t165 (not (=> @t106 (not @t117)))))) % 1.12/1.35 (assume @p118 (forall @t11 (= @t104 @t166))) % 1.12/1.35 (assume @p119 (forall @t107 (= @t106 @t167))) % 1.12/1.35 (assume @p120 (forall @t11 (=> @t104 @t166))) % 1.12/1.35 (assume @p121 (forall @t107 (=> @t106 @t167))) % 1.12/1.35 (assume @p122 (forall (@list @t17 @t2 @t5) (=> @t134 @t168))) % 1.12/1.35 (assume @p123 (forall @t136 (=> @t135 @t168))) % 1.12/1.35 (assume @p124 (forall @t132 (=> @t131 (=> @t130 @t169)))) % 1.12/1.35 (assume @p125 (forall (@list @t5 @t2 @t17) (=> @t169 (not (=> @t131 (not @t130)))))) % 1.12/1.35 (assume @p126 (forall @t23 (= @t100 @t162))) % 1.12/1.35 (assume @p127 @t172) % 1.12/1.35 (assume @p128 (forall @t22 (_ (_ tptp.less_eq @t38) @t37))) % 1.12/1.35 (assume @p129 (forall @t22 (_ (_ tptp.less_eq @t45) @t46))) % 1.12/1.35 (assume @p130 (forall @t23 (= (_ (_ (_ tptp.modula1727524044comp_a tptp.less_eq) @t17) @t14) (and @t173 (not @t98))))) % 1.12/1.35 (assume @p131 (forall @t10 (= @t78 (_ (_ (_ @t79 @t1) @t5) @t2)))) % 1.12/1.35 (assume @p132 (forall @t64 (_ @t103 @t5))) % 1.12/1.35 (assume @p133 (forall @t65 (_ @t99 @t17))) % 1.12/1.35 (assume @p134 (forall @t182 (=> @t181 (=> @t180 (=> (forall @t94 (=> @t93 (=> (forall @t177 (=> @t176 (_ (_ tptp.less_eq @t175) @t40))) @t92))) (_ @t90 @t174)))))) % 1.12/1.35 (assume @p135 (forall @t183 (=> @t181 (=> @t180 (= @t174 @t17))))) % 1.12/1.35 (assume @p136 (forall @t11 (and (=> @t104 (= @t184 @t2)) (=> @t185 (= @t184 @t5))))) % 1.12/1.35 (assume @p137 (forall @t11 (and (=> @t104 (= @t186 @t5)) (=> @t185 (= @t186 @t2))))) % 1.12/1.35 (assume @p138 (forall @t10 (=> @t187 (= @t80 (_ (_ tptp.inf @t50) @t58))))) % 1.12/1.35 (assume @p139 (forall @t10 (=> @t187 (= @t78 (_ (_ tptp.inf (_ @t60 @t49)) @t58))))) % 1.12/1.35 (assume @p140 (forall @t10 (=> @t187 (= @t77 (_ (_ tptp.inf @t54) @t58))))) % 1.12/1.35 (assume @p141 (forall @t10 (=> @t187 (= (_ (_ tptp.inf @t78) @t80) @t49)))) % 1.12/1.35 (assume @p142 (forall @t10 (=> @t187 (= (_ (_ tptp.inf @t80) @t77) @t49)))) % 1.12/1.35 (assume @p143 (forall @t10 (=> @t187 (= (_ (_ tptp.inf @t77) @t78) @t49)))) % 1.12/1.35 (assume @p144 (forall @t22 (= @t153 (and @t100 @t126)))) % 1.12/1.35 (assume @p145 (forall @t10 (= @t156 (and @t104 @t123)))) % 1.12/1.35 (assume @p146 (forall @t56 (= @t165 (and @t106 @t117)))) % 1.12/1.35 (assume @p147 (forall @t22 (= (_ (_ tptp.less_eq @t35) @t13) (and @t126 @t127)))) % 1.12/1.35 (assume @p148 (forall @t192 (=> @t191 (_ @t81 @t188)))) % 1.12/1.35 (assume @p149 (forall (@list @t81 @t13) (=> @t191 (=> (_ @t81 @t13) (_ (_ tptp.less_eq @t188) @t13))))) % 1.12/1.35 (assume @p150 (forall @t182 (=> @t181 (=> @t193 (=> (forall @t94 (=> @t93 (=> (forall @t177 (=> @t176 (_ @t141 @t175))) @t92))) (_ @t90 @t188)))))) % 1.12/1.35 (assume @p151 (forall @t183 (=> @t181 (=> @t193 (= @t188 @t17))))) % 1.12/1.35 (assume @p152 (= tptp.modula581031071_aux_a tptp.modula581031071_aux_a)) % 1.12/1.35 (assume @p153 (= tptp.modula1373251614_aux_a tptp.modula1373251614_aux_a)) % 1.12/1.35 (assume @p154 (= tptp.modula17988509_aux_a tptp.modula17988509_aux_a)) % 1.12/1.35 (assume @p155 (forall @t196 (=> @t195 @t194))) % 1.12/1.35 (assume @p156 (= tptp.lattic1885654924_set_a tptp.semilattice_a)) % 1.12/1.35 (assume @p157 (forall @t196 (=> @t198 @t197))) % 1.12/1.35 (assume @p158 (forall @t196 (=> @t197 @t198))) % 1.12/1.35 (assume @p159 (forall @t196 (=> @t198 @t195))) % 1.12/1.35 (assume @p160 (forall @t89 (= @t201 (exists (@list @t199) (forall @t88 (=> @t87 (_ @t120 @t199))))))) % 1.12/1.35 (assume @p161 (forall @t89 (= @t204 (exists (@list @t202) (forall @t88 (=> @t87 (_ (_ tptp.less_eq @t202) @t85))))))) % 1.12/1.35 (assume @p162 (forall (@list @t84 @t205) (=> (forall @t94 (=> @t207 (_ (_ tptp.less_eq @t205) @t40))) @t204))) % 1.12/1.35 (assume @p163 (forall (@list @t84 @t208) (=> (forall @t94 (=> @t207 (_ @t141 @t208))) @t201))) % 1.12/1.35 (assume @p164 (= tptp.modula1727524044comp_a tptp.modula1727524044comp_a)) % 1.12/1.35 (assume @p165 (forall (@list @t138 @t2 @t5 @t1) (=> @t195 (= (_ @t209 (_ @t210 @t1)) @t211)))) % 1.12/1.35 (assume @p166 (forall @t214 (=> @t198 (= (_ @t213 @t2) @t212)))) % 1.12/1.35 (assume @p167 (forall @t214 (=> @t198 (= (_ @t210 @t212) @t212)))) % 1.12/1.35 (assume @p168 (forall @t214 (=> @t195 (= @t212 (_ @t209 @t5))))) % 1.12/1.35 (assume @p169 (forall (@list @t138 @t5) (=> @t198 (= (_ @t210 @t5) @t5)))) % 1.12/1.35 (assume @p170 (forall @t196 (=> (forall (@list @t217 @t216 @t215) (= (_ (_ @t138 (_ @t218 @t216)) @t215) (_ @t218 (_ (_ @t138 @t216) @t215)))) @t194))) % 1.12/1.35 (assume @p171 (forall (@list @t138 @t5 @t2 @t1) (=> @t194 (= (_ @t213 @t1) @t211)))) % 1.12/1.35 (assume @p172 (forall @t223 (=> @t222 (=> @t221 @t204)))) % 1.12/1.35 (assume @p173 (forall @t223 (=> @t224 (=> @t221 @t201)))) % 1.12/1.35 (assume @p174 (forall @t89 (=> @t225 @t204))) % 1.12/1.35 (assume @p175 (forall @t232 (=> @t225 (=> @t231 (exists @t94 (and @t207 (_ @t103 @t40) @t230)))))) % 1.12/1.35 (assume @p176 (forall @t232 (=> @t225 (=> @t231 (exists @t94 (and @t207 (_ @t141 @t5) @t233)))))) % 1.12/1.35 (assume @p177 (forall @t89 (=> @t225 @t201))) % 1.12/1.35 (assume @p178 (forall @t238 (=> @t237 (=> @t100 (_ (_ tptp.ord_less_eq_set_a @t236) @t235))))) % 1.12/1.35 (assume @p179 (forall @t241 (=> (forall @t145 (=> @t142 (_ (_ tptp.ord_less_eq_set_a @t240) @t239))) @t237))) % 1.12/1.35 (assume @p180 (forall @t241 (= @t237 (forall @t122 (=> @t121 (_ (_ tptp.ord_less_eq_set_a @t243) @t242)))))) % 1.12/1.35 (assume @p181 (forall @t241 (= @t244 (forall @t122 (=> @t121 (_ (_ tptp.ord_less_eq_set_a @t242) @t243)))))) % 1.12/1.35 (assume @p182 (forall @t241 (=> (forall @t145 (=> @t142 (_ (_ tptp.ord_less_eq_set_a @t239) @t240))) @t244))) % 1.12/1.35 (assume @p183 (forall @t238 (=> @t244 (=> @t100 (_ (_ tptp.ord_less_eq_set_a @t235) @t236))))) % 1.12/1.35 (assume @p184 (forall @t232 (=> @t225 (=> @t231 (_ @t103 @t246))))) % 1.12/1.35 (assume @p185 (forall @t232 (=> @t225 (=> @t231 (_ @t249 @t5))))) % 1.12/1.35 (assume @p186 (forall @t253 (=> @t225 (=> @t252 (= @t250 @t246))))) % 1.12/1.35 (assume @p187 (forall @t253 (=> @t225 (=> @t252 (= @t254 @t248))))) % 1.12/1.35 (assume @p188 (forall @t232 (=> @t225 (=> @t231 (= (_ (_ tptp.sup @t248) @t5) @t5))))) % 1.12/1.35 (assume @p189 (forall @t232 (=> @t225 (=> @t231 (= (_ @t6 @t246) @t5))))) % 1.12/1.35 (assume @p190 (= tptp.lattic247676691_fin_a tptp.lattic247676691_fin_a)) % 1.12/1.35 (assume @p191 (= tptp.lattic1781219155_fin_a tptp.lattic1781219155_fin_a)) % 1.12/1.35 (assume @p192 (forall @t89 (=> @t225 (=> @t256 (_ @t249 @t246))))) % 1.12/1.35 (assume @p193 (forall @t260 (=> @t221 (=> @t256 (=> @t259 (_ @t258 @t257)))))) % 1.12/1.35 (assume @p194 (forall @t89 (=> @t225 (=> @t256 (exists @t94 (and @t207 @t233)))))) % 1.12/1.35 (assume @p195 (forall @t89 (=> @t225 (=> @t256 (exists @t94 (and @t207 @t230)))))) % 1.12/1.35 (assume @p196 (forall @t260 (=> @t225 (=> @t264 (=> @t263 (= (_ (_ tptp.inf @t261) @t248) @t248)))))) % 1.12/1.35 (assume @p197 (forall @t260 (=> @t225 (=> @t264 (=> @t263 (= (_ (_ tptp.sup @t257) @t246) @t246)))))) % 1.12/1.35 (assume @p198 (forall @t253 (=> @t225 (=> @t256 (= @t265 (forall @t88 (=> @t87 (_ @t99 @t85)))))))) % 1.12/1.35 (assume @p199 (forall @t253 (=> @t225 (=> @t256 (=> (forall @t267 (=> @t266 (_ @t99 @t217))) @t265))))) % 1.12/1.35 (assume @p200 (forall @t253 (=> @t225 (=> @t256 (=> @t265 (forall @t270 (=> @t269 (_ @t99 @t268)))))))) % 1.12/1.35 (assume @p201 (forall @t253 (=> @t225 (=> @t256 (= @t271 (forall @t88 (=> @t87 (_ @t120 @t17)))))))) % 1.12/1.35 (assume @p202 (forall @t253 (=> @t225 (=> @t256 (=> (forall @t267 (=> @t266 (_ (_ tptp.less_eq @t217) @t17))) @t271))))) % 1.12/1.35 (assume @p203 (forall @t253 (=> @t225 (=> @t256 (=> @t271 (forall @t270 (=> @t269 (_ (_ tptp.less_eq @t268) @t17)))))))) % 1.12/1.35 (assume @p204 (forall @t260 (=> @t221 (=> @t256 (=> @t259 (_ (_ tptp.less_eq @t261) @t248)))))) % 1.12/1.35 (assume @p205 (_ @t200 tptp.bot_bot_set_a)) % 1.12/1.35 (assume @p206 (_ @t203 tptp.bot_bot_set_a)) % 1.12/1.35 (assume @p207 (forall (@list @t272) (not (= tptp.bot_bot_set_a (_ @t273 @t272))))) % 1.12/1.35 (assume @p208 (forall (@list @t274) (not (= tptp.bot_bot_set_a (_ @t275 @t274))))) % 1.12/1.35 (assume @p209 (forall @t279 (= (_ @t278 (_ @t275 @t277)) (_ (_ tptp.less_eq @t277) @t276)))) % 1.12/1.35 (assume @p210 (forall @t279 (= (_ @t278 (_ @t273 @t277)) (_ (_ tptp.less_eq @t276) @t277)))) % 1.12/1.35 (assume @p211 (forall @t64 (_ @t203 (_ @t275 @t5)))) % 1.12/1.35 (assume @p212 (forall (@list @t2) (_ @t200 (_ @t273 @t2)))) % 1.12/1.35 (assume @p213 (forall @t89 (_ (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a) @t84))) % 1.12/1.35 (assume @p214 (forall @t89 (= (_ @t220 tptp.bot_bot_set_a) @t255))) % 1.12/1.35 (assume @p215 (forall (@list @t1) (not (_ @t280 tptp.bot_bot_set_a)))) % 1.12/1.35 (assume @p216 (forall @t89 (= (forall @t88 (not @t87)) @t255))) % 1.12/1.35 (assume @p217 (forall @t192 (= (= @t82 tptp.bot_bot_set_a) @t282))) % 1.12/1.35 (assume @p218 (forall @t192 (= (= tptp.bot_bot_set_a @t82) @t282))) % 1.12/1.35 (assume @p219 (forall @t260 (=> (forall @t94 (=> @t207 (_ @t206 @t219))) @t221))) % 1.12/1.35 (assume @p220 (forall @t260 (=> @t221 (=> @t263 @t283)))) % 1.12/1.35 (assume @p221 (forall @t64 (not (_ @t83 tptp.bot_bot_set_a)))) % 1.12/1.35 (assume @p222 (forall @t232 (=> @t255 (not @t231)))) % 1.12/1.35 (assume @p223 (forall @t89 (=> (forall @t179 (not (_ (_ tptp.member_a @t42) @t84))) @t255))) % 1.12/1.35 (assume @p224 (forall @t89 (= (exists @t88 @t87) @t256))) % 1.12/1.35 (assume @p225 (forall (@list @t84 @t219 @t17) (=> @t221 (=> @t252 (_ @t251 @t219))))) % 1.12/1.35 (assume @p226 (forall (@list @t84 @t219 @t1) (=> @t221 (=> (_ @t280 @t84) (_ @t280 @t219))))) % 1.12/1.35 (assume @p227 (forall @t260 (=> @t283 (not (=> @t221 (not @t263)))))) % 1.12/1.35 (assume @p228 (forall @t260 (=> @t283 @t221))) % 1.12/1.35 (assume @p229 (forall @t260 (=> @t283 @t263))) % 1.12/1.35 (assume @p230 (= tptp.ord_less_eq_set_a (lambda @t288 (forall (@list @t285) (=> (_ @t286 @t287) (_ @t286 @t284)))))) % 1.12/1.35 (assume @p231 (forall @t89 (_ @t220 @t84))) % 1.12/1.35 (assume @p232 (forall @t95 (=> (forall @t94 (=> @t93 @t92)) @t289))) % 1.12/1.35 (assume @p233 (forall (@list @t84 @t219 @t290) (=> @t221 (=> (_ @t262 @t290) (_ @t220 @t290))))) % 1.12/1.35 (assume @p234 (= (lambda (@list @t292 @t291) (= @t292 @t291)) (lambda @t288 (and (_ (_ tptp.ord_less_eq_set_a @t287) @t284) (_ (_ tptp.ord_less_eq_set_a @t284) @t287))))) % 1.12/1.35 (assume @p235 (forall @t95 (= @t289 (forall @t88 (=> @t281 (_ @t90 @t85)))))) % 1.12/1.35 (assume @p236 (forall (@list @t234 @t294 @t293) (=> @t244 (_ (_ tptp.ord_less_eq_set_a (_ @t234 (_ (_ tptp.inf @t294) @t293))) (_ (_ tptp.inf_inf_set_a (_ @t234 @t294)) (_ @t234 @t293)))))) % 1.12/1.35 (assume @p237 (forall @t253 (=> @t225 (=> @t296 (=> @t256 (= (_ @t245 @t295) @t250)))))) % 1.12/1.35 (assume @p238 (forall @t223 (=> @t222 @t298))) % 1.12/1.35 (assume @p239 (forall @t260 (=> @t204 @t298))) % 1.12/1.35 (assume @p240 (forall @t223 (=> @t224 @t299))) % 1.12/1.35 (assume @p241 (forall @t260 (=> @t201 @t299))) % 1.12/1.35 (assume @p242 (forall (@list @t290 @t84 @t219) (= (_ @t300 @t297) (and (_ @t300 @t84) (_ @t300 @t219))))) % 1.12/1.35 (assume @p243 (forall (@list @t301) (= (_ @t302 @t301) @t301))) % 1.12/1.35 (assume @p244 (forall (@list @t303) (= (_ @t304 @t303) @t303))) % 1.12/1.35 (assume @p245 (forall @t307 (= (_ @t302 @t306) @t306))) % 1.12/1.35 (assume @p246 (forall @t310 (= (_ @t304 @t309) @t309))) % 1.12/1.35 (assume @p247 (forall @t307 (= (_ (_ tptp.inf_inf_set_a @t306) @t305) @t306))) % 1.12/1.35 (assume @p248 (forall @t310 (= (_ (_ tptp.inf_inf_set_a @t309) @t308) @t309))) % 1.12/1.35 (assume @p249 (forall @t89 (=> @t225 (=> @t256 (=> (forall @t145 (_ (_ tptp.member_a @t43) (_ (_ tptp.insert_a @t40) (_ (_ tptp.insert_a @t42) tptp.bot_bot_set_a)))) (_ (_ tptp.member_a @t248) @t84)))))) % 1.12/1.35 (assume @p250 (forall @t253 (=> @t225 (=> @t296 (=> @t256 (= (_ @t247 @t295) @t254)))))) % 1.12/1.35 (assume @p251 @t314) % 1.12/1.35 (assume @p252 true) % 1.12/1.35 (step @p253 (= tptp.semigroup_a @t318) :rule refl :args (@t318)) % 1.12/1.35 (step @p254 (= tptp.ord_less_eq_set_a @t319) :rule refl :args (@t319)) % 1.12/1.35 (step @p255 :rule refl :args ((tptp.inf @t69 @t311))) % 1.12/1.35 (step @p256 :rule refl :args ((tptp.sup @t74 @t68))) % 1.12/1.35 (step @p257 :rule refl :args ((tptp.sup tptp.a2 @t66))) % 1.12/1.35 (step @p258 :rule refl :args (@t320)) % 1.12/1.35 (step @p259 :rule refl :args (tptp.a2)) % 1.12/1.35 (step @p260 :rule cong :premises (@p259 @p258) :args (@t321)) % 1.12/1.35 (step @p261 :rule trans :premises (@p260 @p257)) % 1.12/1.35 (step @p262 :rule refl :args ((tptp.inf @t73 @t69))) % 1.12/1.35 (step @p263 :rule refl :args (@t322)) % 1.12/1.35 (step @p264 :rule refl :args ((tptp.sup tptp.b @t66))) % 1.12/1.35 (step @p265 :rule refl :args (tptp.b)) % 1.12/1.35 (step @p266 :rule cong :premises (@p265 @p258) :args (@t323)) % 1.12/1.35 (step @p267 :rule trans :premises (@p266 @p264)) % 1.12/1.35 (step @p268 :rule cong :premises (@p267 @p263) :args (@t324)) % 1.12/1.35 (step @p269 :rule trans :premises (@p268 @p262)) % 1.12/1.35 (step @p270 :rule cong :premises (@p269 @p261) :args (@t325)) % 1.12/1.35 (step @p271 :rule trans :premises (@p270 @p256)) % 1.12/1.35 (step @p272 :rule cong :premises (@p263 @p271) :args (@t326)) % 1.12/1.35 (step @p273 :rule trans :premises (@p272 @p255)) % 1.12/1.35 (step @p274 :rule refl :args (tptp.inf)) % 1.12/1.35 (step @p275 :rule ho_cong :premises (@p274 @p263)) % 1.12/1.35 (step @p276 :rule ho_cong :premises (@p275 @p271)) % 1.12/1.35 (step @p277 :rule cong :premises (@p276 @p273) :args ((= (_ @t327 @t325) @t326))) % 1.12/1.35 (step @p278 :rule symm :premises (@p277)) % 1.12/1.35 (step @p279 :rule refl :args (@t312)) % 1.12/1.35 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 1.12/1.35 (step @p281 :rule refl :args (tptp.sup)) % 1.12/1.35 (step @p282 :rule ho_cong :premises (@p281 @p269)) % 1.12/1.35 (step @p283 :rule ho_cong :premises (@p282 @p261)) % 1.12/1.35 (step @p284 :rule cong :premises (@p283 @p271) :args ((= (_ @t328 @t321) @t325))) % 1.12/1.35 (step @p285 :rule symm :premises (@p284)) % 1.12/1.35 (step @p286 :rule refl :args (@t311)) % 1.12/1.35 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 1.12/1.35 (step @p288 :rule refl :args (@t67)) % 1.12/1.35 (step @p289 :rule ho_cong :premises (@p288 @p258)) % 1.12/1.35 (step @p290 :rule cong :premises (@p289 @p261) :args ((= (_ @t67 @t320) @t321))) % 1.12/1.35 (step @p291 :rule symm :premises (@p290)) % 1.12/1.35 (step @p292 :rule refl :args (@t68)) % 1.12/1.35 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 1.12/1.35 (step @p294 :rule refl :args (@t66)) % 1.12/1.35 (step @p295 :rule cong :premises (@p294 @p258) :args ((= @t66 @t320))) % 1.12/1.35 (step @p296 :rule symm :premises (@p295)) % 1.12/1.35 (step @p297 :rule eq_resolve :premises (@p294 @p296)) % 1.12/1.35 (step @p298 :rule refl :args (@t67)) % 1.12/1.35 (step @p299 :rule ho_cong :premises (@p298 @p297)) % 1.12/1.35 (step @p300 :rule trans :premises (@p299 @p293)) % 1.12/1.35 (step @p301 :rule ho_cong :premises (@p274 @p267)) % 1.12/1.35 (step @p302 :rule ho_cong :premises (@p301 @p263)) % 1.12/1.35 (step @p303 :rule cong :premises (@p302 @p269) :args ((= (_ (_ tptp.inf @t323) @t322) @t324))) % 1.12/1.35 (step @p304 :rule symm :premises (@p303)) % 1.12/1.35 (step @p305 :rule refl :args (@t74)) % 1.12/1.35 (step @p306 :rule eq_resolve :premises (@p305 @p304)) % 1.12/1.35 (step @p307 :rule refl :args (@t69)) % 1.12/1.35 (step @p308 :rule cong :premises (@p307 @p263) :args ((= @t69 @t322))) % 1.12/1.35 (step @p309 :rule symm :premises (@p308)) % 1.12/1.35 (step @p310 :rule eq_resolve :premises (@p307 @p309)) % 1.12/1.35 (step @p311 :rule refl :args (@t72)) % 1.12/1.35 (step @p312 :rule ho_cong :premises (@p311 @p258)) % 1.12/1.35 (step @p313 :rule cong :premises (@p312 @p267) :args ((= (_ @t72 @t320) @t323))) % 1.12/1.35 (step @p314 :rule symm :premises (@p313)) % 1.12/1.35 (step @p315 :rule refl :args (@t73)) % 1.12/1.35 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 1.12/1.35 (step @p317 :rule refl :args (@t72)) % 1.12/1.35 (step @p318 :rule ho_cong :premises (@p317 @p297)) % 1.12/1.35 (step @p319 :rule trans :premises (@p318 @p316)) % 1.12/1.35 (step @p320 :rule refl :args (tptp.inf)) % 1.12/1.35 (step @p321 :rule ho_cong :premises (@p320 @p319)) % 1.12/1.35 (step @p322 :rule ho_cong :premises (@p321 @p310)) % 1.12/1.35 (step @p323 :rule trans :premises (@p322 @p306)) % 1.12/1.35 (step @p324 :rule refl :args (tptp.sup)) % 1.12/1.35 (step @p325 :rule ho_cong :premises (@p324 @p323)) % 1.12/1.35 (step @p326 :rule ho_cong :premises (@p325 @p300)) % 1.12/1.35 (step @p327 :rule trans :premises (@p326 @p287)) % 1.12/1.35 (step @p328 :rule ho_cong :premises (@p320 @p310)) % 1.12/1.35 (step @p329 :rule ho_cong :premises (@p328 @p327)) % 1.12/1.35 (step @p330 :rule trans :premises (@p329 @p280)) % 1.12/1.35 (step @p331 :rule refl :args ((tptp.sup @t74 @t71))) % 1.12/1.35 (step @p332 :rule refl :args ((tptp.inf @t69 @t68))) % 1.12/1.35 (step @p333 :rule cong :premises (@p263 @p261) :args (@t329)) % 1.12/1.35 (step @p334 :rule trans :premises (@p333 @p332)) % 1.12/1.35 (step @p335 :rule cong :premises (@p269 @p334) :args (@t330)) % 1.12/1.35 (step @p336 :rule trans :premises (@p335 @p331)) % 1.12/1.35 (step @p337 :rule ho_cong :premises (@p282 @p334)) % 1.12/1.35 (step @p338 :rule cong :premises (@p337 @p336) :args ((= (_ @t328 @t329) @t330))) % 1.12/1.35 (step @p339 :rule symm :premises (@p338)) % 1.12/1.35 (step @p340 :rule refl :args (@t76)) % 1.12/1.35 (step @p341 :rule eq_resolve :premises (@p340 @p339)) % 1.12/1.35 (step @p342 :rule ho_cong :premises (@p275 @p261)) % 1.12/1.35 (step @p343 :rule cong :premises (@p342 @p334) :args ((= (_ @t327 @t321) @t329))) % 1.12/1.35 (step @p344 :rule symm :premises (@p343)) % 1.12/1.35 (step @p345 :rule refl :args (@t71)) % 1.12/1.35 (step @p346 :rule eq_resolve :premises (@p345 @p344)) % 1.12/1.35 (step @p347 :rule ho_cong :premises (@p328 @p300)) % 1.12/1.35 (step @p348 :rule trans :premises (@p347 @p346)) % 1.12/1.35 (step @p349 :rule ho_cong :premises (@p325 @p348)) % 1.12/1.35 (step @p350 :rule trans :premises (@p349 @p341)) % 1.12/1.35 (step @p351 :rule cong :premises (@p350 @p330) :args (@t313)) % 1.12/1.35 (step @p352 :rule cong :premises (@p351) :args (@t314)) % 1.12/1.35 (step @p353 :rule eq_resolve :premises (@p251 @p352)) % 1.12/1.35 (step @p354 :rule refl :args ((tptp.inf @t14 @t36))) % 1.12/1.35 (step @p355 :rule refl :args (@t331)) % 1.12/1.35 (step @p356 :rule refl :args (@t14)) % 1.12/1.35 (step @p357 :rule cong :premises (@p356 @p355) :args (@t332)) % 1.12/1.35 (step @p358 :rule trans :premises (@p357 @p354)) % 1.12/1.35 (step @p359 :rule refl :args (@t15)) % 1.12/1.35 (step @p360 :rule ho_cong :premises (@p359 @p355)) % 1.12/1.35 (step @p361 :rule cong :premises (@p360 @p358) :args ((= (_ @t15 @t331) @t332))) % 1.12/1.35 (step @p362 :rule symm :premises (@p361)) % 1.12/1.35 (step @p363 :rule refl :args (@t170)) % 1.12/1.35 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 1.12/1.35 (step @p365 :rule refl :args (@t36)) % 1.12/1.35 (step @p366 :rule cong :premises (@p365 @p355) :args ((= @t36 @t331))) % 1.12/1.35 (step @p367 :rule symm :premises (@p366)) % 1.12/1.35 (step @p368 :rule eq_resolve :premises (@p365 @p367)) % 1.12/1.35 (step @p369 :rule ho_cong :premises (@p359 @p368)) % 1.12/1.35 (step @p370 :rule trans :premises (@p369 @p364)) % 1.12/1.35 (step @p371 :rule refl :args ((tptp.sup @t17 @t16))) % 1.12/1.35 (step @p372 :rule refl :args (@t333)) % 1.12/1.35 (step @p373 :rule refl :args (@t17)) % 1.12/1.35 (step @p374 :rule cong :premises (@p373 @p372) :args (@t334)) % 1.12/1.35 (step @p375 :rule trans :premises (@p374 @p371)) % 1.12/1.35 (step @p376 :rule refl :args (@t33)) % 1.12/1.35 (step @p377 :rule ho_cong :premises (@p376 @p372)) % 1.12/1.35 (step @p378 :rule cong :premises (@p377 @p375) :args ((= (_ @t33 @t333) @t334))) % 1.12/1.35 (step @p379 :rule symm :premises (@p378)) % 1.12/1.35 (step @p380 :rule refl :args (@t38)) % 1.12/1.35 (step @p381 :rule eq_resolve :premises (@p380 @p379)) % 1.12/1.35 (step @p382 :rule refl :args (@t16)) % 1.12/1.35 (step @p383 :rule cong :premises (@p382 @p372) :args ((= @t16 @t333))) % 1.12/1.35 (step @p384 :rule symm :premises (@p383)) % 1.12/1.35 (step @p385 :rule eq_resolve :premises (@p382 @p384)) % 1.12/1.35 (step @p386 :rule ho_cong :premises (@p376 @p385)) % 1.12/1.35 (step @p387 :rule trans :premises (@p386 @p381)) % 1.12/1.35 (step @p388 :rule cong :premises (@p387 @p370) :args (@t171)) % 1.12/1.35 (step @p389 :rule refl :args (@t335)) % 1.12/1.35 (step @p390 :rule refl :args (@t100)) % 1.12/1.35 (step @p391 :rule cong :premises (@p390 @p389) :args ((= @t100 @t335))) % 1.12/1.35 (step @p392 :rule symm :premises (@p391)) % 1.12/1.35 (step @p393 :rule eq_resolve :premises (@p390 @p392)) % 1.12/1.35 (step @p394 :rule cong :premises (@p393) :args (@t173)) % 1.12/1.35 (step @p395 :rule nary_cong :premises (@p394 @p388) :args (@t336)) % 1.12/1.35 (step @p396 :rule cong :premises (@p395) :args ((forall @t22 @t336))) % 1.12/1.35 (step @p397 :rule bool-impl-elim :args (@t100 @t171)) % 1.12/1.35 (step @p398 :rule cong :premises (@p397) :args (@t172)) % 1.12/1.35 (step @p399 :rule trans :premises (@p398 @p396)) % 1.12/1.35 (step @p400 :rule eq_resolve :premises (@p127 @p399)) % 1.12/1.35 (step @p401 :rule instantiate :premises (@p400) :args ((@list @t324 @t322 @t321))) % 1.12/1.35 (step @p402 :rule refl :args ((tptp.less_eq @t20 @t14))) % 1.12/1.35 (step @p403 :rule refl :args (@t337)) % 1.12/1.35 (step @p404 :rule cong :premises (@p403 @p356) :args (@t338)) % 1.12/1.35 (step @p405 :rule trans :premises (@p404 @p402)) % 1.12/1.35 (step @p406 :rule refl :args (tptp.less_eq)) % 1.12/1.35 (step @p407 :rule ho_cong :premises (@p406 @p403)) % 1.12/1.35 (step @p408 :rule ho_cong :premises (@p407 @p356)) % 1.12/1.35 (step @p409 :rule cong :premises (@p408 @p405) :args ((= (_ (_ tptp.less_eq @t337) @t14) @t338))) % 1.12/1.35 (step @p410 :rule symm :premises (@p409)) % 1.12/1.35 (step @p411 :rule refl :args (@t151)) % 1.12/1.35 (step @p412 :rule eq_resolve :premises (@p411 @p410)) % 1.12/1.35 (step @p413 :rule refl :args (@t20)) % 1.12/1.35 (step @p414 :rule cong :premises (@p413 @p403) :args ((= @t20 @t337))) % 1.12/1.35 (step @p415 :rule symm :premises (@p414)) % 1.12/1.35 (step @p416 :rule eq_resolve :premises (@p413 @p415)) % 1.12/1.35 (step @p417 :rule ho_cong :premises (@p406 @p416)) % 1.12/1.35 (step @p418 :rule ho_cong :premises (@p417 @p356)) % 1.12/1.35 (step @p419 :rule trans :premises (@p418 @p412)) % 1.12/1.35 (step @p420 :rule cong :premises (@p419) :args (@t152)) % 1.12/1.35 (step @p421 :rule eq_resolve :premises (@p83 @p420)) % 1.12/1.35 (step @p422 :rule instantiate :premises (@p421) :args ((@list @t323 @t322))) % 1.12/1.35 (step @p423 :rule cnf_or_pos :args (@t342)) % 1.12/1.35 (step @p424 :rule reordering :premises (@p423) :args ((or @t339 @t341 (not @t342)))) % 1.12/1.35 (step @p425 false :rule chain_m_resolution :premises (@p424 @p422 @p401 @p353) :args (false (@list false false true) (@list @t340 @t342 @t339))) % 1.12/1.35 ) % 1.12/1.35 % SZS output end Proof % 1.12/1.35 % cvc5 exiting %------------------------------------------------------------------------------