0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n029.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Fri Sep 5 23:25:22 EDT 2025 0.12/0.33 % CPUTime : 0.37/0.58 %----Proving TH0 122.99/123.32 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 122.99/123.32 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s... 122.99/123.32 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s... 122.99/123.32 --- Run --ho-elim --full-saturate-quant at 14s... 122.99/123.32 % SZS status Theorem 122.99/123.32 % SZS output start Proof 122.99/123.32 ( 122.99/123.32 (declare-type tptp.a ()) 122.99/123.32 (declare-type tptp.set_a ()) 122.99/123.32 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) 122.99/123.32 (declare-const tptp.min_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) 122.99/123.32 (declare-const tptp.finite40241356em_a_a (-> (-> tptp.a tptp.a tptp.a) Bool)) 122.99/123.32 (declare-const tptp.modula1727524044comp_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool)) 122.99/123.32 (declare-const tptp.greatest_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) 122.99/123.32 (declare-const tptp.condit1001553558elow_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) 122.99/123.32 (declare-const tptp.abel_semigroup_a (-> (-> tptp.a tptp.a tptp.a) Bool)) 122.99/123.32 (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)) 122.99/123.32 (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)) 122.99/123.32 (declare-const tptp.a2 tptp.a) 122.99/123.32 (declare-const tptp.less_eq (-> tptp.a tptp.a Bool)) 122.99/123.32 (declare-const tptp.finite_finite_a (-> tptp.set_a Bool)) 122.99/123.32 (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)) 122.99/123.32 (declare-const tptp.b tptp.a) 122.99/123.32 (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)) 122.99/123.32 (declare-const tptp.c tptp.a) 122.99/123.32 (declare-const tptp.mono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) 122.99/123.32 (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)) 122.99/123.32 (declare-const tptp.inf (-> tptp.a tptp.a tptp.a)) 122.99/123.32 (declare-const tptp.lattic247676691_fin_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a tptp.a)) 122.99/123.32 (declare-const tptp.sup (-> tptp.a tptp.a tptp.a)) 122.99/123.32 (declare-const tptp.inf_inf_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) 122.99/123.32 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) 122.99/123.32 (declare-const tptp.bot_bot_set_a tptp.set_a) 122.99/123.32 (declare-const tptp.least_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) 122.99/123.32 (declare-const tptp.lattic1781219155_fin_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a tptp.a)) 122.99/123.32 (declare-const tptp.set_atMost_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.set_a)) 122.99/123.32 (declare-const tptp.condit1627435690bove_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) 122.99/123.32 (declare-const tptp.max_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) 122.99/123.32 (declare-const tptp.set_atLeast_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.set_a)) 122.99/123.32 (declare-const tptp.lattic1885654924_set_a (-> (-> tptp.a tptp.a tptp.a) Bool)) 122.99/123.32 (declare-const tptp.antimono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) 122.99/123.32 (declare-const tptp.insert_a (-> tptp.a tptp.set_a tptp.set_a)) 122.99/123.32 (declare-const tptp.semilattice_a (-> (-> tptp.a tptp.a tptp.a) Bool)) 122.99/123.32 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X2" 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))))))))) 122.99/123.32 (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 "A2" 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))))))))))) 122.99/123.32 (define @t1 () (@var "X" tptp.set_a)) 122.99/123.32 (define @t2 () (_ tptp.inf_inf_set_a @t1)) 122.99/123.32 (define @t3 () (@list @t1)) 122.99/123.32 (define @t4 () (@var "C" tptp.a)) 122.99/123.32 (define @t5 () (@var "B" tptp.a)) 122.99/123.32 (define @t6 () (@var "A" tptp.a)) 122.99/123.32 (define @t7 () (_ (_ tptp.modula1144073633_aux_a tptp.inf) tptp.sup)) 122.99/123.32 (define @t8 () (_ (_ (_ @t7 @t6) @t5) @t4)) 122.99/123.32 (define @t9 () (_ (_ tptp.modula1936294176_aux_a tptp.inf) tptp.sup)) 122.99/123.32 (define @t10 () (_ (_ (_ @t9 @t6) @t5) @t4)) 122.99/123.32 (define @t11 () (_ tptp.sup @t4)) 122.99/123.32 (define @t12 () (_ (_ (_ (_ (_ tptp.modula581031071_aux_a tptp.inf) tptp.sup) @t6) @t5) @t4)) 122.99/123.32 (define @t13 () (_ (_ tptp.less_eq @t10) @t8)) 122.99/123.32 (define @t14 () (@list @t6 @t5 @t4)) 122.99/123.32 (define @t15 () (_ (_ (_ @t9 @t4) @t6) @t5)) 122.99/123.32 (define @t16 () (@list @t4 @t6 @t5)) 122.99/123.32 (define @t17 () (forall @t16 (= @t15 @t10))) 122.99/123.32 (define @t18 () (_ tptp.sup @t6)) 122.99/123.32 (define @t19 () (_ @t18 @t5)) 122.99/123.32 (define @t20 () (= @t19 @t6)) 122.99/123.32 (define @t21 () (_ tptp.less_eq @t5)) 122.99/123.32 (define @t22 () (_ @t21 @t6)) 122.99/123.32 (define @t23 () (@list @t5 @t6)) 122.99/123.32 (define @t24 () (@var "A" tptp.set_a)) 122.99/123.32 (define @t25 () (_ tptp.inf_inf_set_a @t24)) 122.99/123.32 (define @t26 () (_ (_ (_ (_ (_ tptp.modula1373251614_aux_a tptp.inf) tptp.sup) @t6) @t5) @t4)) 122.99/123.32 (define @t27 () (_ (_ tptp.modula17988509_aux_a tptp.inf) tptp.sup)) 122.99/123.32 (define @t28 () (_ (_ (_ @t27 @t6) @t5) @t4)) 122.99/123.32 (define @t29 () (_ (_ tptp.sup @t28) @t26)) 122.99/123.32 (define @t30 () (=> @t13 (= @t29 @t8))) 122.99/123.32 (define @t31 () (forall @t14 @t30)) 122.99/123.32 (define @t32 () (@var "A3" tptp.set_a)) 122.99/123.32 (define @t33 () (_ tptp.lattic247676691_fin_a tptp.inf)) 122.99/123.32 (define @t34 () (_ @t33 @t32)) 122.99/123.32 (define @t35 () (_ tptp.member_a @t6)) 122.99/123.32 (define @t36 () (_ @t35 @t32)) 122.99/123.32 (define @t37 () (_ tptp.finite_finite_a @t32)) 122.99/123.32 (define @t38 () (@list @t32 @t6)) 122.99/123.32 (define @t39 () (@var "Z2" tptp.a)) 122.99/123.32 (define @t40 () (@var "X" tptp.a)) 122.99/123.32 (define @t41 () (_ tptp.less_eq @t40)) 122.99/123.32 (define @t42 () (_ @t41 @t39)) 122.99/123.32 (define @t43 () (@var "Y" tptp.a)) 122.99/123.32 (define @t44 () (_ tptp.less_eq @t43)) 122.99/123.32 (define @t45 () (_ @t44 @t39)) 122.99/123.32 (define @t46 () (_ tptp.sup @t40)) 122.99/123.32 (define @t47 () (_ @t46 @t43)) 122.99/123.32 (define @t48 () (@list @t40 @t43 @t39)) 122.99/123.32 (define @t49 () (@var "Xa" tptp.a)) 122.99/123.32 (define @t50 () (@var "X3" tptp.a)) 122.99/123.32 (define @t51 () (= @t50 @t49)) 122.99/123.32 (define @t52 () (_ (_ tptp.member_a @t49) @t32)) 122.99/123.32 (define @t53 () (@list @t49)) 122.99/123.32 (define @t54 () (forall @t53 (=> @t52 (=> (_ (_ tptp.less_eq @t49) @t50) @t51)))) 122.99/123.32 (define @t55 () (_ tptp.member_a @t50)) 122.99/123.32 (define @t56 () (_ @t55 @t32)) 122.99/123.32 (define @t57 () (@list @t50)) 122.99/123.32 (define @t58 () (= @t32 tptp.bot_bot_set_a)) 122.99/123.32 (define @t59 () (not @t58)) 122.99/123.32 (define @t60 () (@list @t32)) 122.99/123.32 (define @t61 () (_ @t41 @t43)) 122.99/123.32 (define @t62 () (_ tptp.inf @t43)) 122.99/123.32 (define @t63 () (_ @t62 @t39)) 122.99/123.32 (define @t64 () (_ @t41 @t63)) 122.99/123.32 (define @t65 () (@var "Y" tptp.set_a)) 122.99/123.32 (define @t66 () (_ @t2 @t65)) 122.99/123.32 (define @t67 () (@list @t1 @t65)) 122.99/123.32 (define @t68 () (@var "P" (-> tptp.a Bool))) 122.99/123.32 (define @t69 () (_ (_ tptp.least_a tptp.less_eq) @t68)) 122.99/123.32 (define @t70 () (@var "X4" tptp.a)) 122.99/123.32 (define @t71 () (_ @t68 @t70)) 122.99/123.32 (define @t72 () (@var "Y4" tptp.a)) 122.99/123.32 (define @t73 () (@var "Ya" tptp.a)) 122.99/123.32 (define @t74 () (_ tptp.less_eq @t72)) 122.99/123.32 (define @t75 () (_ @t68 @t72)) 122.99/123.32 (define @t76 () (@list @t72)) 122.99/123.32 (define @t77 () (forall @t76 (=> (and @t75 (forall (@list @t73) (=> (_ @t68 @t73) (_ @t74 @t73)))) (= @t72 @t70)))) 122.99/123.32 (define @t78 () (forall @t76 (=> @t75 (_ (_ tptp.less_eq @t70) @t72)))) 122.99/123.32 (define @t79 () (@list @t70)) 122.99/123.32 (define @t80 () (_ tptp.inf @t5)) 122.99/123.32 (define @t81 () (_ @t80 @t4)) 122.99/123.32 (define @t82 () (_ tptp.inf @t4)) 122.99/123.32 (define @t83 () (_ @t82 @t6)) 122.99/123.32 (define @t84 () (@var "F" (-> tptp.a tptp.a tptp.a))) 122.99/123.32 (define @t85 () (_ (_ @t84 @t40) @t43)) 122.99/123.32 (define @t86 () (_ tptp.inf @t40)) 122.99/123.32 (define @t87 () (_ @t86 @t43)) 122.99/123.32 (define @t88 () (@var "Z3" tptp.a)) 122.99/123.32 (define @t89 () (_ (_ @t84 @t72) @t88)) 122.99/123.32 (define @t90 () (_ tptp.less_eq @t50)) 122.99/123.32 (define @t91 () (_ @t90 @t72)) 122.99/123.32 (define @t92 () (@list @t50 @t72 @t88)) 122.99/123.32 (define @t93 () (_ (_ @t84 @t50) @t72)) 122.99/123.32 (define @t94 () (_ tptp.less_eq @t93)) 122.99/123.32 (define @t95 () (@list @t50 @t72)) 122.99/123.32 (define @t96 () (@list @t84 @t40 @t43)) 122.99/123.32 (define @t97 () (_ tptp.lattic1781219155_fin_a tptp.sup)) 122.99/123.32 (define @t98 () (_ @t97 @t32)) 122.99/123.32 (define @t99 () (_ tptp.less_eq @t34)) 122.99/123.32 (define @t100 () (@var "B4" tptp.set_a)) 122.99/123.32 (define @t101 () (_ (_ tptp.inf_inf_set_a @t32) @t100)) 122.99/123.32 (define @t102 () (_ tptp.condit1627435690bove_a tptp.less_eq)) 122.99/123.32 (define @t103 () (_ @t102 @t101)) 122.99/123.32 (define @t104 () (_ @t102 @t32)) 122.99/123.32 (define @t105 () (@list @t32 @t100)) 122.99/123.32 (define @t106 () (_ tptp.inf @t6)) 122.99/123.32 (define @t107 () (_ @t106 @t5)) 122.99/123.32 (define @t108 () (= @t107 @t6)) 122.99/123.32 (define @t109 () (_ tptp.less_eq @t6)) 122.99/123.32 (define @t110 () (_ @t109 @t5)) 122.99/123.32 (define @t111 () (@list @t6 @t5)) 122.99/123.32 (define @t112 () (@list @t40 @t43)) 122.99/123.32 (define @t113 () (@var "I" tptp.a)) 122.99/123.32 (define @t114 () (@var "K" tptp.a)) 122.99/123.32 (define @t115 () (_ tptp.set_atLeast_a tptp.less_eq)) 122.99/123.32 (define @t116 () (_ tptp.member_a @t113)) 122.99/123.32 (define @t117 () (@list @t113 @t114)) 122.99/123.32 (define @t118 () (_ @t11 @t6)) 122.99/123.32 (define @t119 () (_ @t80 @t8)) 122.99/123.32 (define @t120 () (@list @t5 @t6 @t4)) 122.99/123.32 (define @t121 () (_ @t41 @t107)) 122.99/123.32 (define @t122 () (_ @t41 @t5)) 122.99/123.32 (define @t123 () (_ @t41 @t6)) 122.99/123.32 (define @t124 () (@list @t40 @t6 @t5)) 122.99/123.32 (define @t125 () (@list @t6)) 122.99/123.32 (define @t126 () (= @t19 @t5)) 122.99/123.32 (define @t127 () (_ @t109 @t4)) 122.99/123.32 (define @t128 () (_ @t109 @t81)) 122.99/123.32 (define @t129 () (_ tptp.sup @t43)) 122.99/123.32 (define @t130 () (_ @t97 @t100)) 122.99/123.32 (define @t131 () (_ tptp.less_eq @t98)) 122.99/123.32 (define @t132 () (_ tptp.finite_finite_a @t100)) 122.99/123.32 (define @t133 () (_ tptp.ord_less_eq_set_a @t32)) 122.99/123.32 (define @t134 () (_ @t133 @t100)) 122.99/123.32 (define @t135 () (_ (_ (_ tptp.max_a tptp.less_eq) @t6) @t5)) 122.99/123.32 (define @t136 () (not @t110)) 122.99/123.32 (define @t137 () (@var "F" (-> tptp.a tptp.set_a))) 122.99/123.32 (define @t138 () (_ @t137 @t43)) 122.99/123.32 (define @t139 () (_ @t137 @t40)) 122.99/123.32 (define @t140 () (_ (_ tptp.mono_a_set_a tptp.less_eq) @t137)) 122.99/123.32 (define @t141 () (@list @t137 @t40 @t43)) 122.99/123.32 (define @t142 () (_ @t129 @t39)) 122.99/123.32 (define @t143 () (_ @t86 @t142)) 122.99/123.32 (define @t144 () (_ @t86 @t39)) 122.99/123.32 (define @t145 () (_ (_ tptp.sup @t87) @t144)) 122.99/123.32 (define @t146 () (_ (_ tptp.antimono_a_set_a tptp.less_eq) @t137)) 122.99/123.32 (define @t147 () (_ tptp.less_eq @t4)) 122.99/123.32 (define @t148 () (_ @t147 @t19)) 122.99/123.32 (define @t149 () (_ @t147 @t5)) 122.99/123.32 (define @t150 () (= @t40 @t43)) 122.99/123.32 (define @t151 () (_ @t46 @t98)) 122.99/123.32 (define @t152 () (_ tptp.member_a @t40)) 122.99/123.32 (define @t153 () (_ @t152 @t32)) 122.99/123.32 (define @t154 () (@list @t32 @t40)) 122.99/123.32 (define @t155 () (forall @t53 (=> @t52 (=> (_ @t90 @t49) @t51)))) 122.99/123.32 (define @t156 () (_ @t41 @t19)) 122.99/123.32 (define @t157 () (@var "Z2" tptp.set_a)) 122.99/123.32 (define @t158 () (_ tptp.ord_less_eq_set_a @t1)) 122.99/123.32 (define @t159 () (_ @t46 @t39)) 122.99/123.32 (define @t160 () (_ (_ tptp.inf @t47) @t159)) 122.99/123.32 (define @t161 () (_ @t46 @t63)) 122.99/123.32 (define @t162 () (_ tptp.inf @t50)) 122.99/123.32 (define @t163 () (_ @t162 @t72)) 122.99/123.32 (define @t164 () (_ tptp.sup @t107)) 122.99/123.32 (define @t165 () (= @t87 @t40)) 122.99/123.32 (define @t166 () (@var "X2" tptp.a)) 122.99/123.32 (define @t167 () (_ tptp.member_a @t166)) 122.99/123.32 (define @t168 () (_ @t167 @t32)) 122.99/123.32 (define @t169 () (@list @t166)) 122.99/123.32 (define @t170 () (_ tptp.less_eq @t87)) 122.99/123.32 (define @t171 () (_ tptp.sup @t5)) 122.99/123.32 (define @t172 () (_ @t171 @t4)) 122.99/123.32 (define @t173 () (_ @t18 @t172)) 122.99/123.32 (define @t174 () (_ tptp.sup @t19)) 122.99/123.32 (define @t175 () (@var "D" tptp.a)) 122.99/123.32 (define @t176 () (_ @t11 @t175)) 122.99/123.32 (define @t177 () (_ @t147 @t6)) 122.99/123.32 (define @t178 () (@var "Y3" tptp.a)) 122.99/123.32 (define @t179 () (_ tptp.less_eq @t166)) 122.99/123.32 (define @t180 () (_ @t179 @t178)) 122.99/123.32 (define @t181 () (@list @t166 @t178)) 122.99/123.32 (define @t182 () (@var "Z" tptp.a)) 122.99/123.32 (define @t183 () (@var "Y2" tptp.a)) 122.99/123.32 (define @t184 () (lambda (@list @t183 @t182) (= @t183 @t182))) 122.99/123.32 (define @t185 () (_ tptp.less_eq @t107)) 122.99/123.32 (define @t186 () (_ @t185 @t40)) 122.99/123.32 (define @t187 () (_ @t109 @t40)) 122.99/123.32 (define @t188 () (@list @t6 @t40 @t5)) 122.99/123.32 (define @t189 () (_ @t137 @t178)) 122.99/123.32 (define @t190 () (_ @t137 @t166)) 122.99/123.32 (define @t191 () (@list @t137)) 122.99/123.32 (define @t192 () (_ @t102 @t100)) 122.99/123.32 (define @t193 () (@list @t100 @t32)) 122.99/123.32 (define @t194 () (_ @t106 @t81)) 122.99/123.32 (define @t195 () (_ tptp.inf @t107)) 122.99/123.32 (define @t196 () (_ @t21 @t40)) 122.99/123.32 (define @t197 () (_ tptp.less_eq @t19)) 122.99/123.32 (define @t198 () (_ @t197 @t40)) 122.99/123.32 (define @t199 () (_ @t44 @t40)) 122.99/123.32 (define @t200 () (= @t32 @t100)) 122.99/123.32 (define @t201 () (_ tptp.ord_less_eq_set_a @t100)) 122.99/123.32 (define @t202 () (_ @t201 @t32)) 122.99/123.32 (define @t203 () (_ (_ (_ @t7 tptp.a2) tptp.b) tptp.c)) 122.99/123.32 (define @t204 () (not (= (_ (_ tptp.sup (_ (_ (_ @t27 tptp.c) tptp.a2) tptp.b)) (_ (_ (_ @t27 tptp.a2) tptp.b) tptp.c)) @t203))) 122.99/123.32 (define @t205 () (@list @t5 @t4 @t6)) 122.99/123.32 (define @t206 () (_ @t82 @t8)) 122.99/123.32 (define @t207 () (@list @t40)) 122.99/123.32 (define @t208 () (_ (_ tptp.less_eq (_ (_ (_ @t9 tptp.a2) tptp.b) tptp.c)) @t203)) 122.99/123.32 (define @t209 () (= @t6 @t107)) 122.99/123.32 (define @t210 () (= @t6 @t5)) 122.99/123.32 (define @t211 () (_ (_ tptp.insert_a @t5) tptp.bot_bot_set_a)) 122.99/123.32 (define @t212 () (_ @t133 @t211)) 122.99/123.32 (define @t213 () (_ (_ tptp.insert_a @t6) @t32)) 122.99/123.32 (define @t214 () (_ (_ (_ @t7 @t4) @t6) @t5)) 122.99/123.32 (define @t215 () (forall @t16 (= @t214 @t8))) 122.99/123.32 (define @t216 () (_ (_ tptp.insert_a @t40) @t32)) 122.99/123.32 (define @t217 () (not @t153)) 122.99/123.32 (define @t218 () (_ tptp.set_atMost_a tptp.less_eq)) 122.99/123.32 (define @t219 () (@var "A2" tptp.a)) 122.99/123.32 (define @t220 () (@var "B2" tptp.a)) 122.99/123.32 (define @t221 () (_ (_ tptp.less_eq @t220) @t219)) 122.99/123.32 (define @t222 () (_ (_ tptp.less_eq @t219) @t220)) 122.99/123.32 (define @t223 () (@list @t219 @t220)) 122.99/123.32 (define @t224 () (_ @t21 @t175)) 122.99/123.32 (define @t225 () (@list @t6 @t4 @t5 @t175)) 122.99/123.32 (define @t226 () (= @t47 @t43)) 122.99/123.32 (define @t227 () (_ (_ tptp.less_eq @t172) @t6)) 122.99/123.32 (define @t228 () (= @t6 @t19)) 122.99/123.32 (define @t229 () (@var "A5" tptp.a)) 122.99/123.32 (define @t230 () (_ (_ tptp.member_a @t229) @t32)) 122.99/123.32 (define @t231 () (@list @t229)) 122.99/123.32 (define @t232 () (_ @t41 @t34)) 122.99/123.32 (define @t233 () (_ @t137 @t50)) 122.99/123.32 (define @t234 () (_ @t137 @t72)) 122.99/123.32 (define @t235 () (_ @t84 @t6)) 122.99/123.32 (define @t236 () (_ @t235 @t5)) 122.99/123.32 (define @t237 () (_ tptp.semilattice_a @t84)) 122.99/123.32 (define @t238 () (@list @t84 @t6 @t5)) 122.99/123.32 (define @t239 () (_ tptp.semigroup_a @t84)) 122.99/123.32 (define @t240 () (_ tptp.abel_semigroup_a @t84)) 122.99/123.32 (define @t241 () (@list @t84)) 122.99/123.32 (define @t242 () (not (= @t100 tptp.bot_bot_set_a))) 122.99/123.32 (define @t243 () (_ tptp.condit1001553558elow_a tptp.less_eq)) 122.99/123.32 (define @t244 () (_ @t243 @t32)) 122.99/123.32 (define @t245 () (@var "M3" tptp.a)) 122.99/123.32 (define @t246 () (@var "B" tptp.set_a)) 122.99/123.32 (define @t247 () (_ tptp.ord_less_eq_set_a @t24)) 122.99/123.32 (define @t248 () (@var "C" tptp.set_a)) 122.99/123.32 (define @t249 () (_ @t171 @t10)) 122.99/123.32 (define @t250 () (_ @t152 @t100)) 122.99/123.32 (define @t251 () (_ @t46 @t142)) 122.99/123.32 (define @t252 () (_ (_ tptp.greatest_a tptp.less_eq) @t68)) 122.99/123.32 (define @t253 () (@var "Q" (-> tptp.a Bool))) 122.99/123.32 (define @t254 () (_ @t253 @t50)) 122.99/123.32 (define @t255 () (@var "Y5" tptp.a)) 122.99/123.32 (define @t256 () (_ @t68 @t255)) 122.99/123.32 (define @t257 () (@list @t255)) 122.99/123.32 (define @t258 () (_ @t68 @t50)) 122.99/123.32 (define @t259 () (forall @t76 (=> @t75 (_ @t74 @t40)))) 122.99/123.32 (define @t260 () (_ @t68 @t40)) 122.99/123.32 (define @t261 () (@list @t68 @t40 @t253)) 122.99/123.32 (define @t262 () (@var "A4" tptp.a)) 122.99/123.32 (define @t263 () (_ (_ tptp.member_a @t262) @t32)) 122.99/123.32 (define @t264 () (@list @t262)) 122.99/123.32 (define @t265 () (@var "C4" tptp.set_a)) 122.99/123.32 (define @t266 () (_ @t86 @t63)) 122.99/123.32 (define @t267 () (_ tptp.inf @t87)) 122.99/123.32 (define @t268 () (= @t107 @t5)) 122.99/123.32 (define @t269 () (_ @t33 @t100)) 122.99/123.32 (define @t270 () (_ @t131 @t40)) 122.99/123.32 (define @t271 () (@var "M4" tptp.a)) 122.99/123.32 (define @t272 () (_ @t84 @t5)) 122.99/123.32 (define @t273 () (_ @t235 (_ @t272 @t4))) 122.99/123.32 (define @t274 () (@list @t43 @t40)) 122.99/123.32 (define @t275 () (@var "M2" tptp.a)) 122.99/123.32 (define @t276 () (_ @t243 @t100)) 122.99/123.32 (define @t277 () (_ @t25 @t246)) 122.99/123.32 (define @t278 () (@list @t24 @t246)) 122.99/123.32 (define @t279 () (forall @t76 (=> @t75 (_ @t41 @t72)))) 122.99/123.32 (define @t280 () (_ tptp.collect_a @t253)) 122.99/123.32 (define @t281 () (_ tptp.collect_a @t68)) 122.99/123.32 (define @t282 () (_ (_ tptp.ord_less_eq_set_a @t281) @t280)) 122.99/123.32 (define @t283 () (@list @t68 @t253)) 122.99/123.32 (define @t284 () (_ (_ (_ @t27 @t5) @t4) @t6)) 122.99/123.32 (define @t285 () (= @t26 @t284)) 122.99/123.32 (define @t286 () (forall @t14 @t285)) 122.99/123.32 (define @t287 () (_ (_ tptp.insert_a @t50) (_ (_ tptp.insert_a @t72) tptp.bot_bot_set_a))) 122.99/123.32 (define @t288 () (_ tptp.lattic1885654924_set_a @t84)) 122.99/123.32 (define @t289 () (@var "H" tptp.a)) 122.99/123.32 (define @t290 () (_ tptp.member_a @t4)) 122.99/123.32 (define @t291 () (_ @t185 @t4)) 122.99/123.32 (define @t292 () (_ @t21 @t4)) 122.99/123.32 (define @t293 () (_ tptp.sup @t50)) 122.99/123.32 (define @t294 () (_ @t293 @t72)) 122.99/123.32 (define @t295 () (@var "B4" tptp.a)) 122.99/123.32 (define @t296 () (@var "A3" tptp.a)) 122.99/123.32 (define @t297 () (@var "B5" tptp.set_a)) 122.99/123.32 (define @t298 () (@var "T" tptp.a)) 122.99/123.32 (define @t299 () (_ tptp.member_a @t298)) 122.99/123.32 (define @t300 () (@var "A6" tptp.set_a)) 122.99/123.32 (define @t301 () (@list @t300 @t297)) 122.99/123.32 (define @t302 () (_ @t84 @t236)) 122.99/123.32 (define @t303 () (_ tptp.ord_less_eq_set_a @t265)) 122.99/123.32 (define @t304 () (_ @t18 @t10)) 122.99/123.32 (define @t305 () (@list @t68 @t40)) 122.99/123.32 (define @t306 () (=> @t292 @t127)) 122.99/123.32 (define @t307 () (_ @t243 @t101)) 122.99/123.32 (define @t308 () (_ @t86 @t34)) 122.99/123.32 (define @t309 () (@var "L" tptp.a)) 122.99/123.32 (define @t310 () (@var "Z" tptp.set_a)) 122.99/123.32 (define @t311 () (@var "Y2" tptp.set_a)) 122.99/123.32 (define @t312 () (@var "M" tptp.a)) 122.99/123.32 (define @t313 () (_ (_ (_ tptp.min_a tptp.less_eq) @t6) @t5)) 122.99/123.32 (define @t314 () (@var "C2" tptp.a)) 122.99/123.32 (define @t315 () (@var "B3" tptp.a)) 122.99/123.32 (define @t316 () (_ @t84 @t262)) 122.99/123.32 (define @t317 () (_ @t106 @t8)) 122.99/123.32 (define @t318 () (lambda @t301 (forall @t169 (=> (_ @t167 @t300) (_ @t167 @t297))))) 122.99/123.32 (define @t319 () (@var "C3" tptp.a)) 122.99/123.32 (define @t320 () (@var "F2" (-> tptp.a tptp.a tptp.a))) 122.99/123.32 (define @t321 () (_ @t320 @t219)) 122.99/123.32 (define @t322 () (lambda (@list @t320) (forall (@list @t219 @t220 @t319) (= (_ (_ @t320 (_ @t321 @t220)) @t319) (_ @t321 (_ (_ @t320 @t220) @t319)))))) 122.99/123.32 (define @t323 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))) 122.99/123.32 (define @t324 () (@const 1 (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))) 122.99/123.32 (define @t325 () (@const 3 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))))) 122.99/123.32 (define @t326 () (@const 4 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a tptp.a))))) 122.99/123.32 (define @t327 () (_ @t326 (_ @t325 (@const 2 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))) @t324) @t323)) 122.99/123.32 (define @t328 () (@const 5 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a tptp.a))))) 122.99/123.32 (define @t329 () (@const 6 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a))))) 122.99/123.32 (define @t330 () (@const 7 (-> (@ho-elim-sort (-> tptp.a tptp.a)) tptp.a tptp.a))) 122.99/123.32 (define @t331 () (_ @t330 (_ @t329 (_ @t328 @t327 @t6) @t5) @t4)) 122.99/123.32 (define @t332 () (_ @t326 (_ @t325 (@const 8 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))) @t324) @t323)) 122.99/123.32 (define @t333 () (_ @t326 (_ @t325 (@const 9 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))) @t324) @t323)) 122.99/123.32 (define @t334 () (_ @t330 (_ @t329 (_ @t328 @t333 @t6) @t5) @t4)) 122.99/123.32 (define @t335 () (_ @t326 (_ @t325 (@const 10 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))) @t324) @t323)) 122.99/123.32 (define @t336 () (_ @t330 (_ @t329 (_ @t328 @t335 @t6) @t5) @t4)) 122.99/123.32 (define @t337 () (@const 11 (@ho-elim-sort (-> tptp.a tptp.a Bool)))) 122.99/123.32 (define @t338 () (@const 12 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) 122.99/123.32 (define @t339 () (@const 13 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) 122.99/123.32 (define @t340 () (tptp.modula1373251614_aux_a tptp.inf tptp.sup @t6 @t5 @t4)) 122.99/123.32 (define @t341 () (tptp.modula17988509_aux_a tptp.inf tptp.sup @t6 @t5 @t4)) 122.99/123.32 (define @t342 () (tptp.sup @t341 @t340)) 122.99/123.32 (define @t343 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup @t6 @t5 @t4)) 122.99/123.32 (define @t344 () (tptp.modula1936294176_aux_a tptp.inf tptp.sup @t6 @t5 @t4)) 122.99/123.32 (define @t345 () (tptp.less_eq @t344 @t343)) 122.99/123.32 (define @t346 () (= @t8 @t29)) 122.99/123.32 (define @t347 () (not @t13)) 122.99/123.32 (define @t348 () (or @t347 @t346)) 122.99/123.32 (define @t349 () (@list tptp.c tptp.a2 tptp.b)) 122.99/123.32 (define @t350 () (_ @t330 (_ @t329 (_ @t328 @t333 tptp.a2) tptp.b) tptp.c)) 122.99/123.32 (define @t351 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup @t4 @t6 @t5)) 122.99/123.32 (define @t352 () (= @t8 @t214)) 122.99/123.32 (define @t353 () (tptp.modula1936294176_aux_a tptp.inf tptp.sup @t4 @t6 @t5)) 122.99/123.32 (define @t354 () (= @t10 @t15)) 122.99/123.32 (define @t355 () (_ @t338 @t337 (_ @t330 (_ @t329 (_ @t328 @t335 tptp.c) tptp.a2) tptp.b))) 122.99/123.32 (define @t356 () (_ @t330 (_ @t329 (_ @t328 @t333 tptp.c) tptp.a2) tptp.b)) 122.99/123.32 (define @t357 () (_ @t339 @t355 @t356)) 122.99/123.32 (define @t358 () (_ @t329 @t323 (_ @t330 (_ @t329 (_ @t328 @t332 tptp.c) tptp.a2) tptp.b))) 122.99/123.32 (define @t359 () (_ @t330 @t358 (_ @t330 (_ @t329 (_ @t328 @t332 tptp.a2) tptp.b) tptp.c))) 122.99/123.32 (define @t360 () (not (= @t359 @t350))) 122.99/123.32 (define @t361 () (tptp.modula17988509_aux_a tptp.inf tptp.sup @t5 @t4 @t6)) 122.99/123.32 (define @t362 () (_ @t330 @t358 (_ @t330 (_ @t329 (_ @t328 @t327 tptp.c) tptp.a2) tptp.b))) 122.99/123.32 (define @t363 () (= @t356 @t362)) 122.99/123.32 (define @t364 () (not @t357)) 122.99/123.32 (define @t365 () (or @t364 @t363)) 122.99/123.32 (assume @p1 (forall @t3 (= (_ @t2 tptp.bot_bot_set_a) tptp.bot_bot_set_a))) 122.99/123.32 (assume @p2 (forall @t14 (=> @t13 (= @t12 (_ (_ tptp.inf (_ @t11 @t10)) @t8))))) 122.99/123.32 (assume @p3 @t17) 122.99/123.32 (assume @p4 (forall @t23 (= @t22 @t20))) 122.99/123.32 (assume @p5 (_ tptp.semigroup_a tptp.sup)) 122.99/123.32 (assume @p6 (forall (@list @t24) (= (_ @t25 @t24) @t24))) 122.99/123.32 (assume @p7 @t31) 122.99/123.32 (assume @p8 (forall @t38 (=> @t37 (=> @t36 (= (_ (_ tptp.sup @t34) @t6) @t6))))) 122.99/123.32 (assume @p9 (forall @t48 (= (_ (_ tptp.less_eq @t47) @t39) (and @t45 @t42)))) 122.99/123.32 (assume @p10 (forall @t60 (=> @t37 (=> @t59 (exists @t57 (and @t56 @t54)))))) 122.99/123.32 (assume @p11 (forall @t48 (= @t64 (and @t42 @t61)))) 122.99/123.32 (assume @p12 (forall @t67 (= (_ (_ tptp.inf_inf_set_a @t66) @t65) @t66))) 122.99/123.32 (assume @p13 (forall (@list @t68 @t39) (=> (exists @t79 (and @t78 @t77 @t71)) (=> (_ @t68 @t39) (_ (_ tptp.less_eq @t69) @t39))))) 122.99/123.32 (assume @p14 (forall @t16 (= (_ @t82 @t10) (_ (_ tptp.sup @t83) @t81)))) 122.99/123.32 (assume @p15 (forall @t96 (=> (forall @t95 (_ @t94 @t50)) (=> (forall @t95 (_ @t94 @t72)) (=> (forall @t92 (=> @t91 (=> (_ @t90 @t88) (_ @t90 @t89)))) (= @t87 @t85)))))) 122.99/123.32 (assume @p16 (forall @t60 (=> @t37 (=> @t59 (_ @t99 @t98))))) 122.99/123.32 (assume @p17 (forall @t105 (=> @t104 @t103))) 122.99/123.32 (assume @p18 (forall @t111 (= @t110 @t108))) 122.99/123.32 (assume @p19 (forall @t112 (= (_ @t46 @t87) @t40))) 122.99/123.32 (assume @p20 (forall @t117 (= (_ @t116 (_ @t115 @t114)) (_ (_ tptp.less_eq @t114) @t113)))) 122.99/123.32 (assume @p21 (forall @t120 (= @t119 (_ @t80 @t118)))) 122.99/123.32 (assume @p22 (forall @t124 (=> @t123 (=> @t122 @t121)))) 122.99/123.32 (assume @p23 (forall @t125 (= (_ @t18 @t6) @t6))) 122.99/123.32 (assume @p24 (forall @t111 (= @t110 @t126))) 122.99/123.32 (assume @p25 (forall @t14 (=> @t128 (not (=> @t110 (not @t127)))))) 122.99/123.32 (assume @p26 (forall @t112 (= @t47 (_ @t129 @t40)))) 122.99/123.32 (assume @p27 (forall @t105 (=> @t134 (=> @t59 (=> @t132 (_ @t131 @t130)))))) 122.99/123.32 (assume @p28 (forall @t111 (and (=> @t136 (= @t135 @t6)) (=> @t110 (= @t135 @t5))))) 122.99/123.32 (assume @p29 (forall @t141 (=> @t140 (=> @t61 (_ (_ tptp.ord_less_eq_set_a @t139) @t138))))) 122.99/123.32 (assume @p30 (forall @t48 (_ (_ tptp.less_eq @t145) @t143))) 122.99/123.32 (assume @p31 (forall @t141 (=> @t146 (=> @t61 (_ (_ tptp.ord_less_eq_set_a @t138) @t139))))) 122.99/123.32 (assume @p32 (forall (@list @t4 @t5 @t6) (=> @t149 @t148))) 122.99/123.32 (assume @p33 (forall @t112 (=> @t150 @t61))) 122.99/123.32 (assume @p34 (forall @t60 (=> @t37 @t104))) 122.99/123.32 (assume @p35 (forall @t38 (=> @t37 (=> @t36 (_ @t99 @t6))))) 122.99/123.32 (assume @p36 (forall @t154 (=> @t37 (=> @t153 (= @t151 @t98))))) 122.99/123.32 (assume @p37 (forall @t60 (=> @t37 (=> @t59 (exists @t57 (and @t155 @t56)))))) 122.99/123.32 (assume @p38 (forall @t111 (= @t107 (_ @t80 @t6)))) 122.99/123.32 (assume @p39 (forall (@list @t40 @t5 @t6) (=> @t122 @t156))) 122.99/123.32 (assume @p40 (forall (@list @t1 @t65 @t157) (= (_ @t158 (_ (_ tptp.inf_inf_set_a @t65) @t157)) (and (_ @t158 @t65) (_ @t158 @t157))))) 122.99/123.32 (assume @p41 (forall @t48 (=> (forall @t92 (= (_ @t162 (_ (_ tptp.sup @t72) @t88)) (_ (_ tptp.sup @t163) (_ @t162 @t88)))) (= @t161 @t160)))) 122.99/123.32 (assume @p42 (forall @t60 (_ @t133 @t32))) 122.99/123.32 (assume @p43 (forall @t14 (= @t10 (_ (_ tptp.sup (_ @t164 @t81)) @t83)))) 122.99/123.32 (assume @p44 (forall @t112 (= @t61 @t165))) 122.99/123.32 (assume @p45 (forall @t60 (= (_ tptp.collect_a (lambda @t169 @t168)) @t32))) 122.99/123.32 (assume @p46 (forall @t112 (_ @t41 @t47))) 122.99/123.32 (assume @p47 (forall @t112 (_ @t170 @t43))) 122.99/123.32 (assume @p48 (forall @t14 (= (_ @t174 @t4) @t173))) 122.99/123.32 (assume @p49 (forall (@list @t4 @t6 @t175 @t5) (=> @t177 (=> (_ (_ tptp.less_eq @t175) @t5) (_ (_ tptp.less_eq @t176) @t19))))) 122.99/123.32 (assume @p50 (= @t184 (lambda @t181 (and @t180 (_ (_ tptp.less_eq @t178) @t166))))) 122.99/123.32 (assume @p51 (forall @t188 (=> @t187 @t186))) 122.99/123.32 (assume @p52 (_ tptp.lattic1885654924_set_a tptp.sup)) 122.99/123.32 (assume @p53 (forall @t191 (= @t140 (forall @t181 (=> @t180 (_ (_ tptp.ord_less_eq_set_a @t190) @t189)))))) 122.99/123.32 (assume @p54 (forall @t193 (=> @t192 @t103))) 122.99/123.32 (assume @p55 (forall @t60 (_ (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a) @t32))) 122.99/123.32 (assume @p56 (forall @t14 (= (_ @t195 @t4) @t194))) 122.99/123.32 (assume @p57 (forall (@list @t6 @t5 @t40) (=> @t198 (not (=> @t187 (not @t196)))))) 122.99/123.32 (assume @p58 (forall (@list @t43 @t40 @t39) (=> @t199 (=> (_ (_ tptp.less_eq @t39) @t40) (_ (_ tptp.less_eq @t142) @t40))))) 122.99/123.32 (assume @p59 (forall @t105 (=> @t134 (=> @t202 @t200)))) 122.99/123.32 (assume @p60 @t204) 122.99/123.32 (assume @p61 (forall @t191 (= @t146 (forall @t181 (=> @t180 (_ (_ tptp.ord_less_eq_set_a @t189) @t190)))))) 122.99/123.32 (assume @p62 (forall @t205 (= (_ (_ (_ @t9 @t5) @t4) @t6) @t10))) 122.99/123.32 (assume @p63 (forall @t14 (= @t12 (_ (_ tptp.sup @t206) @t10)))) 122.99/123.32 (assume @p64 (forall @t207 (_ @t41 @t40))) 122.99/123.32 (assume @p65 @t208) 122.99/123.32 (assume @p66 (forall @t111 (=> @t110 @t209))) 122.99/123.32 (assume @p67 (forall (@list @t5 @t6 @t32) (= (= @t211 @t213) (and @t212 @t210)))) 122.99/123.32 (assume @p68 (forall @t14 (= @t8 (_ (_ tptp.inf (_ (_ tptp.inf @t19) @t172)) @t118)))) 122.99/123.32 (assume @p69 @t215) 122.99/123.32 (assume @p70 (forall @t154 (=> @t37 (=> @t217 (=> @t59 (= (_ @t97 @t216) @t151)))))) 122.99/123.32 (assume @p71 (forall (@list @t5) (_ @t102 (_ @t218 @t5)))) 122.99/123.32 (assume @p72 (forall @t14 (=> @t13 (= (_ (_ tptp.inf @t12) @t28) @t10)))) 122.99/123.32 (assume @p73 (= @t184 (lambda @t223 (and @t222 @t221)))) 122.99/123.32 (assume @p74 (forall @t111 (= (_ @t195 @t5) @t107))) 122.99/123.32 (assume @p75 (forall @t225 (=> @t127 (=> @t224 (_ @t197 @t176))))) 122.99/123.32 (assume @p76 (forall @t112 (= @t61 @t226))) 122.99/123.32 (assume @p77 (forall @t111 (=> @t110 @t108))) 122.99/123.32 (assume @p78 (forall (@list @t5 @t40 @t6) (=> @t196 @t186))) 122.99/123.32 (assume @p79 (= tptp.lattic1885654924_set_a tptp.semilattice_a)) 122.99/123.32 (assume @p80 (forall @t120 (=> @t22 (=> @t177 @t227)))) 122.99/123.32 (assume @p81 (forall @t111 (=> @t228 @t22))) 122.99/123.32 (assume @p82 (= tptp.modula581031071_aux_a tptp.modula581031071_aux_a)) 122.99/123.32 (assume @p83 (forall @t154 (=> @t37 (=> @t59 (=> @t232 (forall @t231 (=> @t230 (_ @t41 @t229)))))))) 122.99/123.32 (assume @p84 (forall @t23 (=> @t22 @t20))) 122.99/123.32 (assume @p85 (forall @t225 (=> @t127 (=> @t224 (_ @t185 (_ @t82 @t175)))))) 122.99/123.32 (assume @p86 (forall @t111 (= @t110 @t209))) 122.99/123.32 (assume @p87 (forall @t67 (= (_ @t2 @t66) @t66))) 122.99/123.32 (assume @p88 (forall @t38 (=> @t37 (=> @t36 (exists @t57 (and @t56 (_ @t109 @t50) @t155)))))) 122.99/123.32 (assume @p89 (forall @t191 (=> (forall @t95 (=> @t91 (_ (_ tptp.ord_less_eq_set_a @t234) @t233))) @t146))) 122.99/123.32 (assume @p90 (forall @t238 (=> @t237 (= (_ @t235 @t236) @t236)))) 122.99/123.32 (assume @p91 (forall @t241 (=> @t240 @t239))) 122.99/123.32 (assume @p92 (forall @t105 (=> @t37 (=> @t242 (=> @t202 (= (_ (_ tptp.sup @t130) @t98) @t98)))))) 122.99/123.32 (assume @p93 (forall (@list @t32 @t245) (=> (forall @t57 (=> @t56 (_ (_ tptp.less_eq @t245) @t50))) @t244))) 122.99/123.32 (assume @p94 (forall @t60 (= (_ @t133 tptp.bot_bot_set_a) @t58))) 122.99/123.32 (assume @p95 (forall @t120 (= (_ @t80 @t10) (_ (_ tptp.sup @t81) @t107)))) 122.99/123.32 (assume @p96 (forall @t38 (=> @t37 (=> @t36 (= (_ @t106 @t98) @t6))))) 122.99/123.32 (assume @p97 (forall @t111 (= (_ @t18 @t19) @t19))) 122.99/123.32 (assume @p98 (forall (@list @t24 @t246 @t248) (= (_ @t247 (_ (_ tptp.inf_inf_set_a @t246) @t248)) (and (_ @t247 @t248) (_ @t247 @t246))))) 122.99/123.32 (assume @p99 (forall @t14 (=> @t13 (= @t26 (_ (_ tptp.inf @t249) @t8))))) 122.99/123.32 (assume @p100 (forall (@list @t32 @t100 @t40) (=> @t134 (=> @t153 @t250)))) 122.99/123.32 (assume @p101 (forall @t111 (_ @t109 @t19))) 122.99/123.32 (assume @p102 (forall @t48 (= @t251 (_ @t129 @t159)))) 122.99/123.32 (assume @p103 (forall @t261 (=> @t260 (=> @t259 (=> (forall @t57 (=> @t258 (=> (forall @t257 (=> @t256 (_ (_ tptp.less_eq @t255) @t50))) @t254))) (_ @t253 @t252)))))) 122.99/123.32 (assume @p104 (forall @t193 (=> @t192 (=> @t134 @t104)))) 122.99/123.32 (assume @p105 (forall @t154 (=> @t37 (=> @t59 (=> (forall @t264 (=> @t263 (_ @t41 @t262))) @t232))))) 122.99/123.32 (assume @p106 (= tptp.modula1373251614_aux_a tptp.modula1373251614_aux_a)) 122.99/123.32 (assume @p107 (forall (@list @t32 @t100 @t265) (=> @t134 (=> (_ @t201 @t265) (_ @t133 @t265))))) 122.99/123.32 (assume @p108 (forall @t48 (= (_ @t267 @t39) @t266))) 122.99/123.32 (assume @p109 (forall @t48 (=> @t61 (=> @t45 @t42)))) 122.99/123.32 (assume @p110 (forall @t120 (= @t249 (_ @t171 @t83)))) 122.99/123.32 (assume @p111 (= tptp.modula17988509_aux_a tptp.modula17988509_aux_a)) 122.99/123.32 (assume @p112 (forall @t23 (= @t22 @t268))) 122.99/123.32 (assume @p113 (forall @t105 (=> @t134 (=> @t59 (=> @t132 (_ (_ tptp.less_eq @t269) @t34)))))) 122.99/123.32 (assume @p114 (forall @t3 (= (_ (_ tptp.inf_inf_set_a tptp.bot_bot_set_a) @t1) tptp.bot_bot_set_a))) 122.99/123.32 (assume @p115 (forall @t48 (= (_ (_ tptp.sup @t47) @t39) @t251))) 122.99/123.32 (assume @p116 (forall @t207 (= (_ @t86 @t40) @t40))) 122.99/123.32 (assume @p117 (forall @t111 (=> @t209 @t110))) 122.99/123.32 (assume @p118 (forall @t154 (=> @t37 (=> @t59 (=> @t270 (forall @t231 (=> @t230 (_ (_ tptp.less_eq @t229) @t40)))))))) 122.99/123.32 (assume @p119 (= tptp.modula1727524044comp_a tptp.modula1727524044comp_a)) 122.99/123.32 (assume @p120 (forall @t14 (=> @t13 (= (_ (_ tptp.inf @t26) @t12) @t10)))) 122.99/123.32 (assume @p121 (forall @t112 (= @t87 (_ @t62 @t40)))) 122.99/123.32 (assume @p122 (forall (@list @t32 @t271) (=> (forall @t57 (=> @t56 (_ @t90 @t271))) @t104))) 122.99/123.32 (assume @p123 (forall (@list @t84 @t5 @t6 @t4) (=> @t240 (= (_ @t272 (_ @t235 @t4)) @t273)))) 122.99/123.32 (assume @p124 (= tptp.lattic1781219155_fin_a tptp.lattic1781219155_fin_a)) 122.99/123.32 (assume @p125 (forall @t274 (_ @t44 @t47))) 122.99/123.32 (assume @p126 (forall @t111 (= (_ @t174 @t5) @t19))) 122.99/123.32 (assume @p127 (forall @t60 (= @t244 (exists (@list @t275) (forall @t169 (=> @t168 (_ (_ tptp.less_eq @t275) @t166))))))) 122.99/123.32 (assume @p128 (forall @t193 (=> @t276 (=> @t134 @t244)))) 122.99/123.32 (assume @p129 (_ tptp.semilattice_a tptp.inf)) 122.99/123.32 (assume @p130 (forall (@list @t84 @t6) (=> @t237 (= (_ @t235 @t6) @t6)))) 122.99/123.32 (assume @p131 (forall @t48 (= @t266 (_ @t62 @t144)))) 122.99/123.32 (assume @p132 (forall @t14 (=> @t110 (=> @t127 @t128)))) 122.99/123.32 (assume @p133 (forall @t105 (=> @t200 (not (=> @t134 (not @t202)))))) 122.99/123.32 (assume @p134 (forall @t120 (= (_ @t80 (_ @t106 @t4)) @t194))) 122.99/123.32 (assume @p135 (forall @t278 (= (_ @t25 @t277) @t277))) 122.99/123.32 (assume @p136 (forall @t261 (=> @t260 (=> @t279 (=> (forall @t57 (=> @t258 (=> (forall @t257 (=> @t256 (_ @t90 @t255))) @t254))) (_ @t253 @t69)))))) 122.99/123.32 (assume @p137 (= @t184 (lambda @t223 (and @t221 @t222)))) 122.99/123.32 (assume @p138 (forall @t14 (= (_ @t106 @t10) (_ @t164 @t83)))) 122.99/123.32 (assume @p139 (forall @t283 (= @t282 (forall @t169 (=> (_ @t68 @t166) (_ @t253 @t166)))))) 122.99/123.32 (assume @p140 @t286) 122.99/123.32 (assume @p141 (forall @t60 (=> @t37 (=> @t59 (=> (forall @t95 (_ (_ tptp.member_a @t163) @t287)) (_ (_ tptp.member_a @t34) @t32)))))) 122.99/123.32 (assume @p142 (forall @t241 (=> @t288 @t237))) 122.99/123.32 (assume @p143 (forall (@list @t289) (not (= tptp.bot_bot_set_a (_ @t218 @t289))))) 122.99/123.32 (assume @p144 (forall @t111 (= (_ @t106 @t107) @t107))) 122.99/123.32 (assume @p145 (forall @t125 (_ @t109 @t6))) 122.99/123.32 (assume @p146 (forall @t274 (=> @t199 (= @t61 @t150)))) 122.99/123.32 (assume @p147 (forall @t23 (=> @t22 (=> @t110 @t210)))) 122.99/123.32 (assume @p148 (forall @t111 (=> @t110 (=> @t22 @t210)))) 122.99/123.32 (assume @p149 (forall @t278 (= (_ (_ tptp.inf_inf_set_a @t277) @t246) @t277))) 122.99/123.32 (assume @p150 (forall (@list @t32 @t100 @t4) (=> @t134 (=> (_ @t290 @t32) (_ @t290 @t100))))) 122.99/123.32 (assume @p151 (forall @t14 (=> @t110 (=> (= @t5 @t4) @t127)))) 122.99/123.32 (assume @p152 (forall @t125 (_ @t243 (_ @t115 @t6)))) 122.99/123.32 (assume @p153 (= tptp.modula1144073633_aux_a tptp.modula1144073633_aux_a)) 122.99/123.32 (assume @p154 (forall @t241 (=> @t237 @t288))) 122.99/123.32 (assume @p155 (forall @t124 (=> @t121 (not (=> @t123 (not @t122)))))) 122.99/123.32 (assume @p156 (forall @t205 (=> @t292 @t291))) 122.99/123.32 (assume @p157 (forall @t205 (=> @t227 (not (=> @t22 (not @t177)))))) 122.99/123.32 (assume @p158 (_ tptp.semigroup_a tptp.inf)) 122.99/123.32 (assume @p159 (= tptp.lattic247676691_fin_a tptp.lattic247676691_fin_a)) 122.99/123.32 (assume @p160 (forall @t48 (=> @t61 (=> @t42 @t64)))) 122.99/123.32 (assume @p161 (forall @t48 (=> (forall @t92 (= (_ @t293 (_ (_ tptp.inf @t72) @t88)) (_ (_ tptp.inf @t294) (_ @t293 @t88)))) (= @t143 @t145)))) 122.99/123.32 (assume @p162 (forall @t154 (=> @t37 (=> @t59 (= @t270 (forall @t169 (=> @t168 (_ @t179 @t40)))))))) 122.99/123.32 (assume @p163 (forall (@list @t137 @t296 @t295) (=> @t140 (_ (_ tptp.ord_less_eq_set_a (_ @t137 (_ (_ tptp.inf @t296) @t295))) (_ (_ tptp.inf_inf_set_a (_ @t137 @t296)) (_ @t137 @t295)))))) 122.99/123.32 (assume @p164 (= tptp.ord_less_eq_set_a (lambda @t301 (forall (@list @t298) (=> (_ @t299 @t300) (_ @t299 @t297)))))) 122.99/123.32 (assume @p165 (_ tptp.semilattice_a tptp.sup)) 122.99/123.32 (assume @p166 (forall @t60 (=> @t37 @t244))) 122.99/123.32 (assume @p167 (forall (@list @t84 @t6 @t5 @t4) (=> @t239 (= (_ @t302 @t4) @t273)))) 122.99/123.32 (assume @p168 (forall @t14 (= @t128 (and @t127 @t110)))) 122.99/123.32 (assume @p169 (forall @t112 (_ @t170 @t40))) 122.99/123.32 (assume @p170 (forall (@list @t265 @t32 @t100) (= (_ @t303 @t101) (and (_ @t303 @t100) (_ @t303 @t32))))) 122.99/123.32 (assume @p171 (forall @t96 (=> (forall @t95 (_ @t90 @t93)) (=> (forall @t95 (_ @t74 @t93)) (=> (forall @t92 (=> (_ @t74 @t50) (=> (_ (_ tptp.less_eq @t88) @t50) (_ (_ tptp.less_eq @t89) @t50)))) (= @t47 @t85)))))) 122.99/123.32 (assume @p172 (forall @t23 (=> @t22 @t268))) 122.99/123.32 (assume @p173 (forall @t205 (= @t227 (and @t177 @t22)))) 122.99/123.32 (assume @p174 (forall @t23 (=> @t22 @t228))) 122.99/123.32 (assume @p175 (forall @t14 (= @t304 (_ @t18 @t81)))) 122.99/123.32 (assume @p176 (forall @t112 (= (_ @t86 @t87) @t87))) 122.99/123.32 (assume @p177 (forall @t112 (= (_ @t86 @t47) @t40))) 122.99/123.32 (assume @p178 (forall @t38 (=> @t37 (=> @t36 (exists @t57 (and (_ @t90 @t6) @t54 @t56)))))) 122.99/123.32 (assume @p179 (forall @t112 (=> @t61 @t165))) 122.99/123.32 (assume @p180 (_ tptp.abel_semigroup_a tptp.inf)) 122.99/123.32 (assume @p181 (_ tptp.finite40241356em_a_a tptp.inf)) 122.99/123.32 (assume @p182 (forall (@list @t6 @t4 @t5) (=> @t127 @t291))) 122.99/123.32 (assume @p183 (forall @t60 (=> @t37 (=> @t59 (=> (forall @t95 (_ (_ tptp.member_a @t294) @t287)) (_ (_ tptp.member_a @t98) @t32)))))) 122.99/123.32 (assume @p184 (forall @t305 (=> @t260 (=> @t259 (= @t252 @t40))))) 122.99/123.32 (assume @p185 (_ @t243 tptp.bot_bot_set_a)) 122.99/123.32 (assume @p186 (forall @t14 (=> @t210 @t306))) 122.99/123.32 (assume @p187 (forall @t105 (=> @t244 @t307))) 122.99/123.32 (assume @p188 (forall @t111 (_ @t185 @t5))) 122.99/123.32 (assume @p189 (forall (@list @t40 @t32 @t100) (= (_ (_ tptp.ord_less_eq_set_a @t216) @t100) (and @t250 @t134)))) 122.99/123.32 (assume @p190 (forall @t112 (= (_ @t267 @t43) @t87))) 122.99/123.32 (assume @p191 (forall @t112 (=> @t61 @t226))) 122.99/123.32 (assume @p192 (forall @t283 (=> (forall @t57 (= @t258 @t254)) (= @t281 @t280)))) 122.99/123.32 (assume @p193 (forall (@list @t68) (=> (exists @t79 (and @t71 @t78 @t77)) (_ @t68 @t69)))) 122.99/123.32 (assume @p194 (forall @t16 (=> @t177 @t148))) 122.99/123.32 (assume @p195 (forall @t120 (= (_ @t171 (_ @t18 @t4)) @t173))) 122.99/123.32 (assume @p196 (forall @t191 (=> (forall @t95 (=> @t91 (_ (_ tptp.ord_less_eq_set_a @t233) @t234))) @t140))) 122.99/123.32 (assume @p197 (forall @t274 (=> @t199 (= @t47 @t40)))) 122.99/123.32 (assume @p198 (forall @t112 (= (_ @t46 @t47) @t47))) 122.99/123.32 (assume @p199 (forall @t111 (=> @t110 @t126))) 122.99/123.32 (assume @p200 (forall @t14 (=> @t13 (= (_ (_ tptp.sup @t26) @t12) @t8)))) 122.99/123.32 (assume @p201 (forall @t154 (=> @t37 (=> @t153 (= @t308 @t34))))) 122.99/123.32 (assume @p202 (forall @t154 (=> @t37 (=> @t59 (=> (forall @t264 (=> @t263 (_ (_ tptp.less_eq @t262) @t40))) @t270))))) 122.99/123.32 (assume @p203 (forall (@list @t309) (not (= tptp.bot_bot_set_a (_ @t115 @t309))))) 122.99/123.32 (assume @p204 (forall @t193 (=> @t276 @t307))) 122.99/123.32 (assume @p205 (forall (@list @t6 @t32 @t5) (= (= @t213 @t211) (and @t210 @t212)))) 122.99/123.32 (assume @p206 (forall @t238 (=> @t237 (= (_ @t302 @t5) @t236)))) 122.99/123.32 (assume @p207 (_ tptp.lattic1885654924_set_a tptp.inf)) 122.99/123.32 (assume @p208 (forall @t112 (= (_ (_ (_ tptp.modula1727524044comp_a tptp.less_eq) @t40) @t43) (and (not @t199) (not @t61))))) 122.99/123.32 (assume @p209 (forall @t124 (=> @t123 @t156))) 122.99/123.32 (assume @p210 (forall (@list @t6 @t68) (= (_ @t35 @t281) (_ @t68 @t6)))) 122.99/123.32 (assume @p211 (forall @t120 (=> @t22 (=> @t149 @t177)))) 122.99/123.32 (assume @p212 (forall @t14 (=> @t13 (= @t28 (_ (_ tptp.inf @t304) @t8))))) 122.99/123.32 (assume @p213 (forall @t207 (= (_ @t46 @t40) @t40))) 122.99/123.32 (assume @p214 (forall @t305 (=> @t260 (=> @t279 (= @t69 @t40))))) 122.99/123.32 (assume @p215 (forall @t241 (=> @t237 @t240))) 122.99/123.32 (assume @p216 (forall @t205 (= (_ (_ (_ @t7 @t5) @t4) @t6) @t8))) 122.99/123.32 (assume @p217 (forall @t38 (=> @t37 (=> @t36 (_ @t109 @t98))))) 122.99/123.32 (assume @p218 (= (lambda (@list @t311 @t310) (= @t311 @t310)) (lambda @t301 (and (_ (_ tptp.ord_less_eq_set_a @t297) @t300) (_ (_ tptp.ord_less_eq_set_a @t300) @t297))))) 122.99/123.32 (assume @p219 (forall @t105 (=> @t37 (=> @t242 (=> @t202 (= (_ (_ tptp.inf @t269) @t34) @t34)))))) 122.99/123.32 (assume @p220 (_ tptp.finite40241356em_a_a tptp.sup)) 122.99/123.32 (assume @p221 (forall @t14 (=> @t13 (= (_ (_ tptp.inf @t28) @t26) @t10)))) 122.99/123.32 (assume @p222 (_ tptp.abel_semigroup_a tptp.sup)) 122.99/123.32 (assume @p223 (forall @t60 (= @t104 (exists (@list @t312) (forall @t169 (=> @t168 (_ @t179 @t312))))))) 122.99/123.32 (assume @p224 (forall @t112 (=> @t61 (=> @t199 @t150)))) 122.99/123.32 (assume @p225 (forall @t125 (= (_ @t106 @t6) @t6))) 122.99/123.32 (assume @p226 (forall @t111 (and (=> @t110 (= @t313 @t6)) (=> @t136 (= @t313 @t5))))) 122.99/123.32 (assume @p227 (forall @t117 (= (_ @t116 (_ @t218 @t114)) (_ (_ tptp.less_eq @t113) @t114)))) 122.99/123.32 (assume @p228 (_ @t102 tptp.bot_bot_set_a)) 122.99/123.32 (assume @p229 (= tptp.modula1936294176_aux_a tptp.modula1936294176_aux_a)) 122.99/123.32 (assume @p230 (forall @t14 (=> @t110 @t306))) 122.99/123.32 (assume @p231 (forall @t154 (=> @t37 (=> @t217 (=> @t59 (= (_ @t33 @t216) @t308)))))) 122.99/123.32 (assume @p232 (forall @t23 (_ @t21 @t19))) 122.99/123.32 (assume @p233 (forall @t283 (=> (forall @t57 (=> @t258 @t254)) @t282))) 122.99/123.32 (assume @p234 (forall @t154 (=> @t37 (=> @t59 (= @t232 (forall @t169 (=> @t168 (_ @t41 @t166)))))))) 122.99/123.32 (assume @p235 (forall @t23 (= @t22 @t228))) 122.99/123.32 (assume @p236 (forall @t14 (= @t12 (_ (_ (_ @t27 @t4) @t6) @t5)))) 122.99/123.32 (assume @p237 (forall @t241 (=> (forall (@list @t262 @t315 @t314) (= (_ (_ @t84 (_ @t316 @t315)) @t314) (_ @t316 (_ (_ @t84 @t315) @t314)))) @t239))) 122.99/123.32 (assume @p238 (forall @t188 (=> @t187 (=> @t196 @t198)))) 122.99/123.32 (assume @p239 (forall @t238 (=> @t240 (= @t236 (_ @t272 @t6))))) 122.99/123.32 (assume @p240 (forall @t48 (=> @t61 (= @t161 (_ @t62 @t159))))) 122.99/123.32 (assume @p241 (forall @t14 (= @t28 (_ (_ tptp.sup @t317) @t10)))) 122.99/123.32 (assume @p242 (forall @t105 (=> @t200 @t202))) 122.99/123.32 (assume @p243 (forall @t3 (= (_ @t2 @t1) @t1))) 122.99/123.32 (assume @p244 (forall @t274 (=> @t199 (= @t87 @t43)))) 122.99/123.32 (assume @p245 (forall @t105 (=> (forall @t57 (=> @t56 (_ @t55 @t100))) @t134))) 122.99/123.32 (assume @p246 (forall @t48 (_ (_ tptp.less_eq @t161) @t160))) 122.99/123.32 (assume @p247 (forall @t111 (= @t19 (_ @t171 @t6)))) 122.99/123.32 (assume @p248 (forall @t105 (=> @t200 @t134))) 122.99/123.32 (assume @p249 (forall @t14 (= @t26 (_ (_ tptp.sup @t119) @t10)))) 122.99/123.32 (assume @p250 (forall @t14 (= @t317 (_ @t106 @t172)))) 122.99/123.32 (assume @p251 (forall @t111 (_ @t185 @t6))) 122.99/123.32 (assume @p252 (forall @t16 (= @t206 (_ @t82 @t19)))) 122.99/123.32 (assume @p253 true) 122.99/123.32 (step @p254 (= tptp.ord_less_eq_set_a @t318) :rule refl :args (@t318)) 122.99/123.32 (step @p255 (= tptp.semigroup_a @t322) :rule refl :args (@t322)) 122.99/123.32 ; WARNING: add trust step for TRUST 122.99/123.32 ; trust TRUST PREPROCESS_HO_ELIM 122.99/123.32 (step @p256 :rule trust :premises () :args ((= (forall @t14 (or (not @t345) (= @t343 @t342))) (forall @t14 (or (not (_ @t339 (_ @t338 @t337 @t336) @t334)) (= @t334 (_ @t330 (_ @t329 @t323 (_ @t330 (_ @t329 (_ @t328 @t332 @t6) @t5) @t4)) @t331))))))) 122.99/123.32 (step @p257 :rule refl :args ((tptp.sup @t28 @t26))) 122.99/123.32 (step @p258 :rule refl :args (@t340)) 122.99/123.32 (step @p259 :rule refl :args (@t341)) 122.99/123.32 (step @p260 :rule cong :premises (@p259 @p258) :args (@t342)) 122.99/123.32 (step @p261 :rule trans :premises (@p260 @p257)) 122.99/123.32 (step @p262 :rule refl :args (tptp.sup)) 122.99/123.32 (step @p263 :rule ho_cong :premises (@p262 @p259)) 122.99/123.32 (step @p264 :rule ho_cong :premises (@p263 @p258)) 122.99/123.32 (step @p265 :rule cong :premises (@p264 @p261) :args ((= (_ (_ tptp.sup @t341) @t340) @t342))) 122.99/123.32 (step @p266 :rule symm :premises (@p265)) 122.99/123.32 (step @p267 :rule refl :args (@t29)) 122.99/123.32 (step @p268 :rule eq_resolve :premises (@p267 @p266)) 122.99/123.32 (step @p269 :rule refl :args (@t26)) 122.99/123.32 (step @p270 :rule cong :premises (@p269 @p258) :args ((= @t26 @t340))) 122.99/123.32 (step @p271 :rule symm :premises (@p270)) 122.99/123.32 (step @p272 :rule eq_resolve :premises (@p269 @p271)) 122.99/123.32 (step @p273 :rule refl :args (@t28)) 122.99/123.32 (step @p274 :rule cong :premises (@p273 @p259) :args ((= @t28 @t341))) 122.99/123.32 (step @p275 :rule symm :premises (@p274)) 122.99/123.32 (step @p276 :rule eq_resolve :premises (@p273 @p275)) 122.99/123.32 (step @p277 :rule ho_cong :premises (@p262 @p276)) 122.99/123.32 (step @p278 :rule ho_cong :premises (@p277 @p272)) 122.99/123.32 (step @p279 :rule trans :premises (@p278 @p268)) 122.99/123.32 (step @p280 :rule refl :args (@t343)) 122.99/123.32 (step @p281 :rule refl :args (@t8)) 122.99/123.32 (step @p282 :rule cong :premises (@p281 @p280) :args ((= @t8 @t343))) 122.99/123.32 (step @p283 :rule symm :premises (@p282)) 122.99/123.32 (step @p284 :rule eq_resolve :premises (@p281 @p283)) 122.99/123.32 (step @p285 :rule cong :premises (@p284 @p279) :args (@t346)) 122.99/123.32 (step @p286 :rule refl :args ((tptp.less_eq @t10 @t8))) 122.99/123.32 (step @p287 :rule refl :args (@t344)) 122.99/123.32 (step @p288 :rule cong :premises (@p287 @p280) :args (@t345)) 122.99/123.32 (step @p289 :rule trans :premises (@p288 @p286)) 122.99/123.32 (step @p290 :rule refl :args (tptp.less_eq)) 122.99/123.32 (step @p291 :rule ho_cong :premises (@p290 @p287)) 122.99/123.32 (step @p292 :rule ho_cong :premises (@p291 @p280)) 122.99/123.32 (step @p293 :rule cong :premises (@p292 @p289) :args ((= (_ (_ tptp.less_eq @t344) @t343) @t345))) 122.99/123.32 (step @p294 :rule symm :premises (@p293)) 122.99/123.32 (step @p295 :rule refl :args (@t13)) 122.99/123.32 (step @p296 :rule eq_resolve :premises (@p295 @p294)) 122.99/123.32 (step @p297 :rule refl :args (@t10)) 122.99/123.32 (step @p298 :rule cong :premises (@p297 @p287) :args ((= @t10 @t344))) 122.99/123.32 (step @p299 :rule symm :premises (@p298)) 122.99/123.32 (step @p300 :rule eq_resolve :premises (@p297 @p299)) 122.99/123.32 (step @p301 :rule ho_cong :premises (@p290 @p300)) 122.99/123.32 (step @p302 :rule ho_cong :premises (@p301 @p284)) 122.99/123.32 (step @p303 :rule trans :premises (@p302 @p296)) 122.99/123.32 (step @p304 :rule cong :premises (@p303) :args (@t347)) 122.99/123.32 (step @p305 :rule nary_cong :premises (@p304 @p285) :args (@t348)) 122.99/123.32 (step @p306 :rule cong :premises (@p305) :args ((forall @t14 @t348))) 122.99/123.32 (step @p307 :rule bool-impl-elim :args (@t13 @t346)) 122.99/123.32 (step @p308 :rule cong :premises (@p307) :args ((forall @t14 (=> @t13 @t346)))) 122.99/123.32 (step @p309 :rule trans :premises (@p308 @p306)) 122.99/123.32 (step @p310 :rule eq-symm :args (@t29 @t8)) 122.99/123.32 (step @p311 :rule refl :args (@t13)) 122.99/123.32 (step @p312 :rule cong :premises (@p311 @p310) :args (@t30)) 122.99/123.32 (step @p313 :rule cong :premises (@p312) :args (@t31)) 122.99/123.32 (step @p314 :rule trans :premises (@p313 @p309)) 122.99/123.32 (step @p315 :rule trans :premises (@p314 @p256)) 122.99/123.32 (step @p316 :rule eq_resolve :premises (@p7 @p315)) 122.99/123.32 (step @p317 :rule instantiate :premises (@p316) :args (@t349)) 122.99/123.32 ; trust TRUST PREPROCESS_HO_ELIM 122.99/123.32 (step @p318 :rule trust :premises () :args ((= @t208 (_ @t339 (_ @t338 @t337 (_ @t330 (_ @t329 (_ @t328 @t335 tptp.a2) tptp.b) tptp.c)) @t350)))) 122.99/123.32 (step @p319 :rule eq_resolve :premises (@p65 @p318)) 122.99/123.32 (step @p320 :rule true_intro :premises (@p319)) 122.99/123.32 ; trust TRUST PREPROCESS_HO_ELIM 122.99/123.32 (step @p321 :rule trust :premises () :args ((= (forall @t16 (= @t343 @t351)) (forall @t16 (= @t334 (_ @t330 (_ @t329 (_ @t328 @t333 @t4) @t6) @t5)))))) 122.99/123.32 (step @p322 :rule refl :args (@t351)) 122.99/123.32 (step @p323 :rule refl :args (@t214)) 122.99/123.32 (step @p324 :rule cong :premises (@p323 @p322) :args ((= @t214 @t351))) 122.99/123.32 (step @p325 :rule symm :premises (@p324)) 122.99/123.32 (step @p326 :rule eq_resolve :premises (@p323 @p325)) 122.99/123.32 (step @p327 :rule cong :premises (@p284 @p326) :args (@t352)) 122.99/123.32 (step @p328 :rule cong :premises (@p327) :args ((forall @t16 @t352))) 122.99/123.32 (step @p329 :rule eq-symm :args (@t214 @t8)) 122.99/123.32 (step @p330 :rule cong :premises (@p329) :args (@t215)) 122.99/123.32 (step @p331 :rule trans :premises (@p330 @p328)) 122.99/123.32 (step @p332 :rule trans :premises (@p331 @p321)) 122.99/123.32 (step @p333 :rule eq_resolve :premises (@p69 @p332)) 122.99/123.32 (step @p334 :rule instantiate :premises (@p333) :args (@t349)) 122.99/123.32 (step @p335 :rule symm :premises (@p334)) 122.99/123.32 ; trust TRUST PREPROCESS_HO_ELIM 122.99/123.32 (step @p336 :rule trust :premises () :args ((= (forall @t16 (= @t344 @t353)) (forall @t16 (= @t336 (_ @t330 (_ @t329 (_ @t328 @t335 @t4) @t6) @t5)))))) 122.99/123.32 (step @p337 :rule refl :args (@t353)) 122.99/123.32 (step @p338 :rule refl :args (@t15)) 122.99/123.32 (step @p339 :rule cong :premises (@p338 @p337) :args ((= @t15 @t353))) 122.99/123.32 (step @p340 :rule symm :premises (@p339)) 122.99/123.32 (step @p341 :rule eq_resolve :premises (@p338 @p340)) 122.99/123.32 (step @p342 :rule cong :premises (@p300 @p341) :args (@t354)) 122.99/123.32 (step @p343 :rule cong :premises (@p342) :args ((forall @t16 @t354))) 122.99/123.32 (step @p344 :rule eq-symm :args (@t15 @t10)) 122.99/123.32 (step @p345 :rule cong :premises (@p344) :args (@t17)) 122.99/123.32 (step @p346 :rule trans :premises (@p345 @p343)) 122.99/123.32 (step @p347 :rule trans :premises (@p346 @p336)) 122.99/123.32 (step @p348 :rule eq_resolve :premises (@p3 @p347)) 122.99/123.32 (step @p349 :rule instantiate :premises (@p348) :args (@t349)) 122.99/123.32 (step @p350 :rule symm :premises (@p349)) 122.99/123.32 (step @p351 :rule refl :args (@t337)) 122.99/123.32 (step @p352 :rule cong :premises (@p351 @p350) :args (@t355)) 122.99/123.32 (step @p353 :rule cong :premises (@p352 @p335) :args (@t357)) 122.99/123.32 (step @p354 :rule trans :premises (@p353 @p320)) 122.99/123.32 (step @p355 :rule true_elim :premises (@p354)) 122.99/123.32 (step @p356 :rule eq-symm :args (@t359 @t350)) 122.99/123.32 (step @p357 :rule cong :premises (@p356) :args (@t360)) 122.99/123.32 ; trust TRUST PREPROCESS_HO_ELIM 122.99/123.32 (step @p358 :rule trust :premises () :args ((= @t204 @t360))) 122.99/123.32 (step @p359 :rule trans :premises (@p358 @p357)) 122.99/123.32 (step @p360 :rule eq_resolve :premises (@p60 @p359)) 122.99/123.32 (step @p361 :rule false_intro :premises (@p360)) 122.99/123.32 ; trust TRUST PREPROCESS_HO_ELIM 122.99/123.32 (step @p362 :rule trust :premises () :args ((= (forall @t14 (= @t340 @t361)) (forall @t14 (= @t331 (_ @t330 (_ @t329 (_ @t328 @t332 @t5) @t4) @t6)))))) 122.99/123.32 (step @p363 :rule refl :args (@t361)) 122.99/123.32 (step @p364 :rule refl :args (@t284)) 122.99/123.32 (step @p365 :rule cong :premises (@p364 @p363) :args ((= @t284 @t361))) 122.99/123.32 (step @p366 :rule symm :premises (@p365)) 122.99/123.32 (step @p367 :rule eq_resolve :premises (@p364 @p366)) 122.99/123.32 (step @p368 :rule cong :premises (@p272 @p367) :args (@t285)) 122.99/123.32 (step @p369 :rule cong :premises (@p368) :args (@t286)) 122.99/123.32 (step @p370 :rule trans :premises (@p369 @p362)) 122.99/123.32 (step @p371 :rule eq_resolve :premises (@p140 @p370)) 122.99/123.32 (step @p372 :rule instantiate :premises (@p371) :args (@t349)) 122.99/123.32 (step @p373 :rule refl :args (@t358)) 122.99/123.32 (step @p374 :rule cong :premises (@p373 @p372) :args (@t362)) 122.99/123.32 (step @p375 :rule cong :premises (@p335 @p374) :args (@t363)) 122.99/123.32 (step @p376 :rule trans :premises (@p375 @p361)) 122.99/123.32 (step @p377 :rule false_elim :premises (@p376)) 122.99/123.32 (step @p378 :rule cnf_or_pos :args (@t365)) 122.99/123.32 (step @p379 :rule reordering :premises (@p378) :args ((or @t364 @t363 (not @t365)))) 122.99/123.32 (step @p380 false :rule chain_resolution :premises (@p379 @p377 @p355 @p317) :args ((@list true false false) (@list @t363 @t357 @t365))) 122.99/123.32 ) 122.99/123.32 % SZS output end Proof 122.99/123.32 % cvc5 exiting 122.99/123.32 EOF