%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP122^1 : 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 : n018.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 151.76s 152.10s % Output : Proof 151.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP122^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:14:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.41/0.56 %----Proving TH0 % 151.76/152.10 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.76/152.10 --- 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 30s... % 151.76/152.10 --- 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 30s... % 151.76/152.10 --- Run --ho-elim --full-saturate-quant at 18s... % 151.76/152.10 % SZS status Theorem % 151.76/152.10 % SZS output start Proof % 151.76/152.10 ( % 151.76/152.10 (declare-sort tptp.a 0) % 151.76/152.10 (declare-sort tptp.set_a 0) % 151.76/152.10 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 151.76/152.10 (declare-const tptp.a2 tptp.a) % 151.76/152.10 (declare-const tptp.b tptp.a) % 151.76/152.10 (declare-const tptp.c tptp.a) % 151.76/152.10 (declare-const tptp.insert_a (-> tptp.a tptp.set_a tptp.set_a)) % 151.76/152.10 (declare-const tptp.inf_inf_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 151.76/152.10 (declare-const tptp.set_atLeast_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.set_a)) % 151.76/152.10 (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)) % 151.76/152.10 (declare-const tptp.least_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 151.76/152.10 (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)) % 151.76/152.10 (declare-const tptp.min_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) % 151.76/152.10 (declare-const tptp.condit1001553558elow_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 151.76/152.10 (declare-const tptp.max_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) % 151.76/152.10 (declare-const tptp.condit1627435690bove_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 151.76/152.10 (declare-const tptp.modula1727524044comp_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool)) % 151.76/152.10 (declare-const tptp.sup (-> tptp.a tptp.a tptp.a)) % 151.76/152.10 (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)) % 151.76/152.10 (declare-const tptp.inf (-> tptp.a tptp.a tptp.a)) % 151.76/152.10 (declare-const tptp.greatest_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 151.76/152.10 (declare-const tptp.finite40241356em_a_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 151.76/152.10 (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)) % 151.76/152.10 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 151.76/152.10 (declare-const tptp.less_eq (-> tptp.a tptp.a Bool)) % 151.76/152.10 (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)) % 151.76/152.10 (declare-const tptp.mono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) % 151.76/152.10 (declare-const tptp.semilattice_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 151.76/152.10 (declare-const tptp.abel_semigroup_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 151.76/152.10 (declare-const tptp.antimono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) % 151.76/152.10 (declare-const tptp.lattic1885654924_set_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 151.76/152.10 (declare-const tptp.finite_finite_a (-> tptp.set_a Bool)) % 151.76/152.10 (declare-const tptp.lattic1781219155_fin_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a tptp.a)) % 151.76/152.10 (declare-const tptp.set_atMost_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.set_a)) % 151.76/152.10 (declare-const tptp.lattic247676691_fin_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a tptp.a)) % 151.76/152.10 (declare-const tptp.bot_bot_set_a tptp.set_a) % 151.76/152.10 (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))))))))))) % 151.76/152.10 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "T" 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))))))))) % 151.76/152.10 (define @t1 () (@var "Y" tptp.a)) % 151.76/152.10 (define @t2 () (@var "X" tptp.a)) % 151.76/152.10 (define @t3 () (= @t2 @t1)) % 151.76/152.10 (define @t4 () (_ tptp.less_eq @t1)) % 151.76/152.10 (define @t5 () (_ @t4 @t2)) % 151.76/152.10 (define @t6 () (_ tptp.less_eq @t2)) % 151.76/152.10 (define @t7 () (_ @t6 @t1)) % 151.76/152.10 (define @t8 () (@list @t2 @t1)) % 151.76/152.10 (define @t9 () (@list @t1 @t2)) % 151.76/152.10 (define @t10 () (@var "B" tptp.a)) % 151.76/152.10 (define @t11 () (@var "A" tptp.a)) % 151.76/152.10 (define @t12 () (= @t11 @t10)) % 151.76/152.10 (define @t13 () (_ tptp.less_eq @t11)) % 151.76/152.10 (define @t14 () (_ @t13 @t10)) % 151.76/152.10 (define @t15 () (_ tptp.less_eq @t10)) % 151.76/152.10 (define @t16 () (_ @t15 @t11)) % 151.76/152.10 (define @t17 () (@list @t10 @t11)) % 151.76/152.10 (define @t18 () (@var "B2" tptp.a)) % 151.76/152.10 (define @t19 () (@var "A2" tptp.a)) % 151.76/152.10 (define @t20 () (_ (_ tptp.less_eq @t19) @t18)) % 151.76/152.10 (define @t21 () (_ (_ tptp.less_eq @t18) @t19)) % 151.76/152.10 (define @t22 () (@list @t19 @t18)) % 151.76/152.10 (define @t23 () (@var "Z" tptp.a)) % 151.76/152.10 (define @t24 () (@var "Y2" tptp.a)) % 151.76/152.10 (define @t25 () (lambda (@list @t24 @t23) (= @t24 @t23))) % 151.76/152.10 (define @t26 () (@var "C" tptp.a)) % 151.76/152.10 (define @t27 () (_ tptp.less_eq @t26)) % 151.76/152.10 (define @t28 () (_ @t27 @t11)) % 151.76/152.10 (define @t29 () (_ @t27 @t10)) % 151.76/152.10 (define @t30 () (@list @t10 @t11 @t26)) % 151.76/152.10 (define @t31 () (@var "X2" tptp.a)) % 151.76/152.10 (define @t32 () (@var "Y3" tptp.a)) % 151.76/152.10 (define @t33 () (_ tptp.less_eq @t31)) % 151.76/152.10 (define @t34 () (_ @t33 @t32)) % 151.76/152.10 (define @t35 () (@list @t31 @t32)) % 151.76/152.10 (define @t36 () (_ @t13 @t26)) % 151.76/152.10 (define @t37 () (_ @t15 @t26)) % 151.76/152.10 (define @t38 () (=> @t37 @t36)) % 151.76/152.10 (define @t39 () (@list @t11 @t10 @t26)) % 151.76/152.10 (define @t40 () (@list @t11 @t10)) % 151.76/152.10 (define @t41 () (@var "Z2" tptp.a)) % 151.76/152.10 (define @t42 () (_ @t6 @t41)) % 151.76/152.10 (define @t43 () (_ @t4 @t41)) % 151.76/152.10 (define @t44 () (@list @t2 @t1 @t41)) % 151.76/152.10 (define @t45 () (_ tptp.inf @t10)) % 151.76/152.10 (define @t46 () (_ @t45 @t26)) % 151.76/152.10 (define @t47 () (_ tptp.inf @t11)) % 151.76/152.10 (define @t48 () (_ @t47 @t46)) % 151.76/152.10 (define @t49 () (_ @t47 @t10)) % 151.76/152.10 (define @t50 () (_ tptp.inf @t49)) % 151.76/152.10 (define @t51 () (_ tptp.inf @t1)) % 151.76/152.10 (define @t52 () (_ @t51 @t41)) % 151.76/152.10 (define @t53 () (_ tptp.inf @t2)) % 151.76/152.10 (define @t54 () (_ @t53 @t52)) % 151.76/152.10 (define @t55 () (_ @t53 @t1)) % 151.76/152.10 (define @t56 () (_ tptp.inf @t55)) % 151.76/152.10 (define @t57 () (_ @t53 @t41)) % 151.76/152.10 (define @t58 () (_ tptp.sup @t10)) % 151.76/152.10 (define @t59 () (_ @t58 @t26)) % 151.76/152.10 (define @t60 () (_ tptp.sup @t11)) % 151.76/152.10 (define @t61 () (_ @t60 @t59)) % 151.76/152.10 (define @t62 () (_ @t60 @t10)) % 151.76/152.10 (define @t63 () (_ tptp.sup @t62)) % 151.76/152.10 (define @t64 () (_ tptp.sup @t1)) % 151.76/152.10 (define @t65 () (_ @t64 @t41)) % 151.76/152.10 (define @t66 () (_ tptp.sup @t2)) % 151.76/152.10 (define @t67 () (_ @t66 @t65)) % 151.76/152.10 (define @t68 () (_ @t66 @t1)) % 151.76/152.10 (define @t69 () (_ @t66 @t41)) % 151.76/152.10 (define @t70 () (= @t49 @t11)) % 151.76/152.10 (define @t71 () (= @t49 @t10)) % 151.76/152.10 (define @t72 () (_ @t13 @t46)) % 151.76/152.10 (define @t73 () (_ tptp.less_eq @t49)) % 151.76/152.10 (define @t74 () (_ @t73 @t26)) % 151.76/152.10 (define @t75 () (@list @t10 @t26 @t11)) % 151.76/152.10 (define @t76 () (= @t11 @t49)) % 151.76/152.10 (define @t77 () (= @t55 @t2)) % 151.76/152.10 (define @t78 () (_ @t6 @t52)) % 151.76/152.10 (define @t79 () (_ tptp.less_eq @t55)) % 151.76/152.10 (define @t80 () (@var "D" tptp.a)) % 151.76/152.10 (define @t81 () (_ tptp.inf @t26)) % 151.76/152.10 (define @t82 () (_ @t15 @t80)) % 151.76/152.10 (define @t83 () (@list @t11 @t26 @t10 @t80)) % 151.76/152.10 (define @t84 () (@var "F" (-> tptp.a tptp.a tptp.a))) % 151.76/152.10 (define @t85 () (_ (_ @t84 @t2) @t1)) % 151.76/152.10 (define @t86 () (@var "Z3" tptp.a)) % 151.76/152.10 (define @t87 () (@var "Y4" tptp.a)) % 151.76/152.10 (define @t88 () (_ (_ @t84 @t87) @t86)) % 151.76/152.10 (define @t89 () (@var "X3" tptp.a)) % 151.76/152.10 (define @t90 () (_ tptp.less_eq @t89)) % 151.76/152.10 (define @t91 () (_ @t90 @t87)) % 151.76/152.10 (define @t92 () (@list @t89 @t87 @t86)) % 151.76/152.10 (define @t93 () (_ (_ @t84 @t89) @t87)) % 151.76/152.10 (define @t94 () (_ tptp.less_eq @t93)) % 151.76/152.10 (define @t95 () (@list @t89 @t87)) % 151.76/152.10 (define @t96 () (@list @t84 @t2 @t1)) % 151.76/152.10 (define @t97 () (@var "P" (-> tptp.a Bool))) % 151.76/152.10 (define @t98 () (_ tptp.collect_a @t97)) % 151.76/152.10 (define @t99 () (_ tptp.member_a @t11)) % 151.76/152.10 (define @t100 () (@var "A3" tptp.set_a)) % 151.76/152.10 (define @t101 () (_ tptp.member_a @t31)) % 151.76/152.10 (define @t102 () (_ @t101 @t100)) % 151.76/152.10 (define @t103 () (@list @t31)) % 151.76/152.10 (define @t104 () (@list @t100)) % 151.76/152.10 (define @t105 () (@var "Q" (-> tptp.a Bool))) % 151.76/152.10 (define @t106 () (_ tptp.collect_a @t105)) % 151.76/152.10 (define @t107 () (_ @t105 @t89)) % 151.76/152.10 (define @t108 () (_ @t97 @t89)) % 151.76/152.10 (define @t109 () (@list @t89)) % 151.76/152.10 (define @t110 () (@list @t97 @t105)) % 151.76/152.10 (define @t111 () (_ @t6 @t10)) % 151.76/152.10 (define @t112 () (_ @t6 @t11)) % 151.76/152.10 (define @t113 () (_ @t6 @t49)) % 151.76/152.10 (define @t114 () (@list @t2 @t11 @t10)) % 151.76/152.10 (define @t115 () (_ @t73 @t2)) % 151.76/152.10 (define @t116 () (_ @t13 @t2)) % 151.76/152.10 (define @t117 () (@list @t11 @t2 @t10)) % 151.76/152.10 (define @t118 () (_ @t15 @t2)) % 151.76/152.10 (define @t119 () (= @t68 @t1)) % 151.76/152.10 (define @t120 () (_ tptp.less_eq @t62)) % 151.76/152.10 (define @t121 () (_ @t120 @t2)) % 151.76/152.10 (define @t122 () (_ @t6 @t62)) % 151.76/152.10 (define @t123 () (= @t62 @t11)) % 151.76/152.10 (define @t124 () (= @t62 @t10)) % 151.76/152.10 (define @t125 () (_ (_ tptp.less_eq @t59) @t11)) % 151.76/152.10 (define @t126 () (_ @t27 @t62)) % 151.76/152.10 (define @t127 () (@list @t26 @t11 @t10)) % 151.76/152.10 (define @t128 () (_ tptp.sup @t26)) % 151.76/152.10 (define @t129 () (_ @t128 @t80)) % 151.76/152.10 (define @t130 () (= @t11 @t62)) % 151.76/152.10 (define @t131 () (_ tptp.less_eq @t87)) % 151.76/152.10 (define @t132 () (_ (_ tptp.inf @t68) @t69)) % 151.76/152.10 (define @t133 () (_ @t66 @t52)) % 151.76/152.10 (define @t134 () (_ tptp.inf @t89)) % 151.76/152.10 (define @t135 () (_ @t134 @t87)) % 151.76/152.10 (define @t136 () (_ (_ tptp.sup @t55) @t57)) % 151.76/152.10 (define @t137 () (_ @t53 @t65)) % 151.76/152.10 (define @t138 () (_ tptp.sup @t89)) % 151.76/152.10 (define @t139 () (_ @t138 @t87)) % 151.76/152.10 (define @t140 () (_ (_ tptp.modula1936294176_aux_a tptp.inf) tptp.sup)) % 151.76/152.10 (define @t141 () (_ (_ (_ @t140 @t11) @t10) @t26)) % 151.76/152.10 (define @t142 () (_ @t60 @t141)) % 151.76/152.10 (define @t143 () (_ @t81 @t11)) % 151.76/152.10 (define @t144 () (_ tptp.sup @t49)) % 151.76/152.10 (define @t145 () (_ @t58 @t141)) % 151.76/152.10 (define @t146 () (_ (_ (_ @t140 @t10) @t26) @t11)) % 151.76/152.10 (define @t147 () (forall @t75 (= @t146 @t141))) % 151.76/152.10 (define @t148 () (_ (_ tptp.modula1144073633_aux_a tptp.inf) tptp.sup)) % 151.76/152.10 (define @t149 () (_ (_ (_ @t148 @t11) @t10) @t26)) % 151.76/152.10 (define @t150 () (_ @t47 @t149)) % 151.76/152.10 (define @t151 () (_ @t128 @t11)) % 151.76/152.10 (define @t152 () (_ @t45 @t149)) % 151.76/152.10 (define @t153 () (_ @t81 @t149)) % 151.76/152.10 (define @t154 () (_ (_ (_ @t148 @t10) @t26) @t11)) % 151.76/152.10 (define @t155 () (forall @t75 (= @t154 @t149))) % 151.76/152.10 (define @t156 () (@list @t11)) % 151.76/152.10 (define @t157 () (@list @t2)) % 151.76/152.10 (define @t158 () (_ (_ tptp.greatest_a tptp.less_eq) @t97)) % 151.76/152.10 (define @t159 () (@var "Y5" tptp.a)) % 151.76/152.10 (define @t160 () (_ @t97 @t159)) % 151.76/152.10 (define @t161 () (@list @t159)) % 151.76/152.10 (define @t162 () (_ @t97 @t87)) % 151.76/152.10 (define @t163 () (@list @t87)) % 151.76/152.10 (define @t164 () (forall @t163 (=> @t162 (_ @t131 @t2)))) % 151.76/152.10 (define @t165 () (_ @t97 @t2)) % 151.76/152.10 (define @t166 () (@list @t97 @t2 @t105)) % 151.76/152.10 (define @t167 () (@list @t97 @t2)) % 151.76/152.10 (define @t168 () (_ (_ (_ tptp.max_a tptp.less_eq) @t11) @t10)) % 151.76/152.10 (define @t169 () (not @t14)) % 151.76/152.10 (define @t170 () (_ (_ (_ tptp.min_a tptp.less_eq) @t11) @t10)) % 151.76/152.10 (define @t171 () (_ (_ tptp.modula17988509_aux_a tptp.inf) tptp.sup)) % 151.76/152.10 (define @t172 () (_ (_ (_ @t171 @t11) @t10) @t26)) % 151.76/152.10 (define @t173 () (_ (_ tptp.less_eq @t141) @t149)) % 151.76/152.10 (define @t174 () (_ (_ tptp.least_a tptp.less_eq) @t97)) % 151.76/152.10 (define @t175 () (@var "X4" tptp.a)) % 151.76/152.10 (define @t176 () (@var "Ya" tptp.a)) % 151.76/152.10 (define @t177 () (exists (@list @t175) (and (_ @t97 @t175) (forall @t163 (=> @t162 (_ (_ tptp.less_eq @t175) @t87))) (forall @t163 (=> (and @t162 (forall (@list @t176) (=> (_ @t97 @t176) (_ @t131 @t176)))) (= @t87 @t175)))))) % 151.76/152.10 (define @t178 () (forall @t163 (=> @t162 (_ @t6 @t87)))) % 151.76/152.10 (define @t179 () (_ (_ (_ (_ (_ tptp.modula581031071_aux_a tptp.inf) tptp.sup) @t11) @t10) @t26)) % 151.76/152.10 (define @t180 () (_ (_ (_ @t171 @t10) @t26) @t11)) % 151.76/152.10 (define @t181 () (_ (_ (_ (_ (_ tptp.modula1373251614_aux_a tptp.inf) tptp.sup) @t11) @t10) @t26)) % 151.76/152.10 (define @t182 () (= @t181 @t180)) % 151.76/152.10 (define @t183 () (forall @t39 @t182)) % 151.76/152.10 (define @t184 () (_ (_ tptp.sup @t172) @t181)) % 151.76/152.10 (define @t185 () (=> @t173 (= @t184 @t149))) % 151.76/152.10 (define @t186 () (forall @t39 @t185)) % 151.76/152.10 (define @t187 () (_ tptp.semigroup_a @t84)) % 151.76/152.10 (define @t188 () (_ tptp.abel_semigroup_a @t84)) % 151.76/152.10 (define @t189 () (@list @t84)) % 151.76/152.10 (define @t190 () (_ tptp.lattic1885654924_set_a @t84)) % 151.76/152.10 (define @t191 () (_ tptp.semilattice_a @t84)) % 151.76/152.10 (define @t192 () (_ @t84 @t10)) % 151.76/152.10 (define @t193 () (_ @t84 @t11)) % 151.76/152.10 (define @t194 () (_ @t193 (_ @t192 @t26))) % 151.76/152.10 (define @t195 () (_ @t193 @t10)) % 151.76/152.10 (define @t196 () (@list @t84 @t11 @t10)) % 151.76/152.10 (define @t197 () (@var "C2" tptp.a)) % 151.76/152.10 (define @t198 () (@var "B3" tptp.a)) % 151.76/152.10 (define @t199 () (@var "A4" tptp.a)) % 151.76/152.10 (define @t200 () (_ @t84 @t199)) % 151.76/152.10 (define @t201 () (_ @t84 @t195)) % 151.76/152.10 (define @t202 () (@var "M" tptp.a)) % 151.76/152.10 (define @t203 () (_ tptp.condit1627435690bove_a tptp.less_eq)) % 151.76/152.10 (define @t204 () (_ @t203 @t100)) % 151.76/152.10 (define @t205 () (@var "M2" tptp.a)) % 151.76/152.10 (define @t206 () (_ tptp.condit1001553558elow_a tptp.less_eq)) % 151.76/152.10 (define @t207 () (_ @t206 @t100)) % 151.76/152.10 (define @t208 () (@var "M3" tptp.a)) % 151.76/152.10 (define @t209 () (_ tptp.member_a @t89)) % 151.76/152.10 (define @t210 () (_ @t209 @t100)) % 151.76/152.10 (define @t211 () (@var "M4" tptp.a)) % 151.76/152.10 (define @t212 () (@var "B4" tptp.set_a)) % 151.76/152.10 (define @t213 () (_ tptp.ord_less_eq_set_a @t100)) % 151.76/152.10 (define @t214 () (_ @t213 @t212)) % 151.76/152.10 (define @t215 () (_ @t203 @t212)) % 151.76/152.10 (define @t216 () (@list @t212 @t100)) % 151.76/152.10 (define @t217 () (_ @t206 @t212)) % 151.76/152.10 (define @t218 () (_ tptp.finite_finite_a @t100)) % 151.76/152.10 (define @t219 () (@var "Xa" tptp.a)) % 151.76/152.10 (define @t220 () (= @t89 @t219)) % 151.76/152.10 (define @t221 () (_ (_ tptp.member_a @t219) @t100)) % 151.76/152.10 (define @t222 () (@list @t219)) % 151.76/152.10 (define @t223 () (forall @t222 (=> @t221 (=> (_ @t90 @t219) @t220)))) % 151.76/152.10 (define @t224 () (_ @t99 @t100)) % 151.76/152.10 (define @t225 () (@list @t100 @t11)) % 151.76/152.10 (define @t226 () (forall @t222 (=> @t221 (=> (_ (_ tptp.less_eq @t219) @t89) @t220)))) % 151.76/152.10 (define @t227 () (@var "F" (-> tptp.a tptp.set_a))) % 151.76/152.10 (define @t228 () (_ @t227 @t2)) % 151.76/152.10 (define @t229 () (_ @t227 @t1)) % 151.76/152.10 (define @t230 () (_ (_ tptp.antimono_a_set_a tptp.less_eq) @t227)) % 151.76/152.10 (define @t231 () (@list @t227 @t2 @t1)) % 151.76/152.10 (define @t232 () (_ @t227 @t89)) % 151.76/152.10 (define @t233 () (_ @t227 @t87)) % 151.76/152.10 (define @t234 () (@list @t227)) % 151.76/152.10 (define @t235 () (_ @t227 @t31)) % 151.76/152.10 (define @t236 () (_ @t227 @t32)) % 151.76/152.10 (define @t237 () (_ (_ tptp.mono_a_set_a tptp.less_eq) @t227)) % 151.76/152.10 (define @t238 () (_ tptp.lattic1781219155_fin_a tptp.sup)) % 151.76/152.10 (define @t239 () (_ @t238 @t100)) % 151.76/152.10 (define @t240 () (_ tptp.lattic247676691_fin_a tptp.inf)) % 151.76/152.10 (define @t241 () (_ @t240 @t100)) % 151.76/152.10 (define @t242 () (_ tptp.less_eq @t241)) % 151.76/152.10 (define @t243 () (_ @t66 @t239)) % 151.76/152.10 (define @t244 () (_ tptp.member_a @t2)) % 151.76/152.10 (define @t245 () (_ @t244 @t100)) % 151.76/152.10 (define @t246 () (@list @t100 @t2)) % 151.76/152.10 (define @t247 () (_ @t53 @t241)) % 151.76/152.10 (define @t248 () (= @t100 tptp.bot_bot_set_a)) % 151.76/152.10 (define @t249 () (not @t248)) % 151.76/152.10 (define @t250 () (_ @t238 @t212)) % 151.76/152.10 (define @t251 () (_ tptp.less_eq @t239)) % 151.76/152.10 (define @t252 () (_ tptp.finite_finite_a @t212)) % 151.76/152.10 (define @t253 () (@list @t100 @t212)) % 151.76/152.10 (define @t254 () (_ @t240 @t212)) % 151.76/152.10 (define @t255 () (_ tptp.ord_less_eq_set_a @t212)) % 151.76/152.10 (define @t256 () (_ @t255 @t100)) % 151.76/152.10 (define @t257 () (not (= @t212 tptp.bot_bot_set_a))) % 151.76/152.10 (define @t258 () (_ @t6 @t241)) % 151.76/152.10 (define @t259 () (_ (_ tptp.member_a @t199) @t100)) % 151.76/152.10 (define @t260 () (@list @t199)) % 151.76/152.10 (define @t261 () (@var "A5" tptp.a)) % 151.76/152.10 (define @t262 () (_ (_ tptp.member_a @t261) @t100)) % 151.76/152.10 (define @t263 () (@list @t261)) % 151.76/152.10 (define @t264 () (_ @t251 @t2)) % 151.76/152.10 (define @t265 () (@var "H" tptp.a)) % 151.76/152.10 (define @t266 () (_ tptp.set_atMost_a tptp.less_eq)) % 151.76/152.10 (define @t267 () (@var "L" tptp.a)) % 151.76/152.10 (define @t268 () (_ tptp.set_atLeast_a tptp.less_eq)) % 151.76/152.10 (define @t269 () (@var "I" tptp.a)) % 151.76/152.10 (define @t270 () (@var "K" tptp.a)) % 151.76/152.10 (define @t271 () (_ tptp.member_a @t269)) % 151.76/152.10 (define @t272 () (@list @t269 @t270)) % 151.76/152.10 (define @t273 () (= @t100 @t212)) % 151.76/152.10 (define @t274 () (_ (_ tptp.ord_less_eq_set_a @t98) @t106)) % 151.76/152.10 (define @t275 () (@var "A6" tptp.set_a)) % 151.76/152.10 (define @t276 () (@var "B5" tptp.set_a)) % 151.76/152.10 (define @t277 () (@list @t275 @t276)) % 151.76/152.10 (define @t278 () (@var "Z" tptp.set_a)) % 151.76/152.10 (define @t279 () (@var "Y2" tptp.set_a)) % 151.76/152.10 (define @t280 () (@var "C4" tptp.set_a)) % 151.76/152.10 (define @t281 () (_ tptp.member_a @t26)) % 151.76/152.10 (define @t282 () (_ @t244 @t212)) % 151.76/152.10 (define @t283 () (@var "B4" tptp.a)) % 151.76/152.10 (define @t284 () (@var "A3" tptp.a)) % 151.76/152.10 (define @t285 () (_ (_ tptp.insert_a @t89) (_ (_ tptp.insert_a @t87) tptp.bot_bot_set_a))) % 151.76/152.10 (define @t286 () (_ (_ tptp.inf_inf_set_a @t100) @t212)) % 151.76/152.10 (define @t287 () (_ @t203 @t286)) % 151.76/152.10 (define @t288 () (_ @t206 @t286)) % 151.76/152.10 (define @t289 () (_ tptp.ord_less_eq_set_a @t280)) % 151.76/152.10 (define @t290 () (@var "Y" tptp.set_a)) % 151.76/152.10 (define @t291 () (@var "X" tptp.set_a)) % 151.76/152.10 (define @t292 () (_ tptp.inf_inf_set_a @t291)) % 151.76/152.10 (define @t293 () (_ @t292 @t290)) % 151.76/152.10 (define @t294 () (@list @t291 @t290)) % 151.76/152.10 (define @t295 () (@var "B" tptp.set_a)) % 151.76/152.10 (define @t296 () (@var "A" tptp.set_a)) % 151.76/152.10 (define @t297 () (_ tptp.inf_inf_set_a @t296)) % 151.76/152.10 (define @t298 () (_ @t297 @t295)) % 151.76/152.10 (define @t299 () (@list @t296 @t295)) % 151.76/152.10 (define @t300 () (@list @t291)) % 151.76/152.10 (define @t301 () (_ (_ tptp.insert_a @t2) @t100)) % 151.76/152.10 (define @t302 () (not @t245)) % 151.76/152.10 (define @t303 () (@var "Z2" tptp.set_a)) % 151.76/152.10 (define @t304 () (_ tptp.ord_less_eq_set_a @t291)) % 151.76/152.10 (define @t305 () (@var "C" tptp.set_a)) % 151.76/152.10 (define @t306 () (_ tptp.ord_less_eq_set_a @t296)) % 151.76/152.10 (define @t307 () (_ (_ tptp.insert_a @t10) tptp.bot_bot_set_a)) % 151.76/152.10 (define @t308 () (and @t12 (_ @t213 @t307))) % 151.76/152.10 (define @t309 () (_ (_ tptp.insert_a @t11) @t100)) % 151.76/152.10 (define @t310 () (_ (_ (_ @t148 tptp.a2) tptp.b) tptp.c)) % 151.76/152.10 (define @t311 () (_ (_ tptp.less_eq (_ (_ (_ @t140 tptp.a2) tptp.b) tptp.c)) @t310)) % 151.76/152.10 (define @t312 () (_ (_ tptp.sup (_ (_ (_ @t171 tptp.c) tptp.a2) tptp.b)) (_ (_ (_ @t171 tptp.a2) tptp.b) tptp.c))) % 151.76/152.10 (define @t313 () (not (= @t312 @t310))) % 151.76/152.10 (define @t314 () (@var "C3" tptp.a)) % 151.76/152.10 (define @t315 () (@var "F2" (-> tptp.a tptp.a tptp.a))) % 151.76/152.10 (define @t316 () (_ @t315 @t19)) % 151.76/152.10 (define @t317 () (lambda (@list @t315) (forall (@list @t19 @t18 @t314) (= (_ (_ @t315 (_ @t316 @t18)) @t314) (_ @t316 (_ (_ @t315 @t18) @t314)))))) % 151.76/152.10 (define @t318 () (@var "T" tptp.a)) % 151.76/152.10 (define @t319 () (_ tptp.member_a @t318)) % 151.76/152.10 (define @t320 () (lambda @t277 (forall (@list @t318) (=> (_ @t319 @t275) (_ @t319 @t276))))) % 151.76/152.10 (define @t321 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))) % 151.76/152.10 (define @t322 () (@const 1 (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))) % 151.76/152.10 (define @t323 () (@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))))) % 151.76/152.10 (define @t324 () (@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))))) % 151.76/152.10 (define @t325 () (_ @t324 (_ @t323 (@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))) @t322) @t321)) % 151.76/152.10 (define @t326 () (@const 5 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a tptp.a))))) % 151.76/152.10 (define @t327 () (@const 6 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a))))) % 151.76/152.10 (define @t328 () (@const 7 (-> (@ho-elim-sort (-> tptp.a tptp.a)) tptp.a tptp.a))) % 151.76/152.10 (define @t329 () (_ @t328 (_ @t327 (_ @t326 @t325 @t11) @t10) @t26)) % 151.76/152.10 (define @t330 () (_ @t324 (_ @t323 (@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))) @t322) @t321)) % 151.76/152.10 (define @t331 () (_ @t324 (_ @t323 (@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))) @t322) @t321)) % 151.76/152.10 (define @t332 () (_ @t328 (_ @t327 (_ @t326 @t331 @t11) @t10) @t26)) % 151.76/152.10 (define @t333 () (_ @t324 (_ @t323 (@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))) @t322) @t321)) % 151.76/152.10 (define @t334 () (_ @t328 (_ @t327 (_ @t326 @t333 @t11) @t10) @t26)) % 151.76/152.10 (define @t335 () (@const 11 (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 151.76/152.10 (define @t336 () (@const 12 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 151.76/152.10 (define @t337 () (@const 13 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 151.76/152.10 (define @t338 () (tptp.modula1373251614_aux_a tptp.inf tptp.sup @t11 @t10 @t26)) % 151.76/152.10 (define @t339 () (tptp.modula17988509_aux_a tptp.inf tptp.sup @t11 @t10 @t26)) % 151.76/152.10 (define @t340 () (tptp.sup @t339 @t338)) % 151.76/152.10 (define @t341 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup @t11 @t10 @t26)) % 151.76/152.10 (define @t342 () (tptp.modula1936294176_aux_a tptp.inf tptp.sup @t11 @t10 @t26)) % 151.76/152.10 (define @t343 () (tptp.less_eq @t342 @t341)) % 151.76/152.10 (define @t344 () (= @t149 @t184)) % 151.76/152.10 (define @t345 () (not @t173)) % 151.76/152.10 (define @t346 () (or @t345 @t344)) % 151.76/152.10 (define @t347 () (@list tptp.c tptp.a2 tptp.b)) % 151.76/152.10 (define @t348 () (_ @t328 (_ @t327 (_ @t326 @t331 tptp.a2) tptp.b) tptp.c)) % 151.76/152.10 (define @t349 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup @t10 @t26 @t11)) % 151.76/152.10 (define @t350 () (= @t149 @t154)) % 151.76/152.10 (define @t351 () (@list tptp.a2 tptp.b tptp.c)) % 151.76/152.10 (define @t352 () (tptp.modula1936294176_aux_a tptp.inf tptp.sup @t10 @t26 @t11)) % 151.76/152.10 (define @t353 () (= @t141 @t146)) % 151.76/152.10 (define @t354 () (_ @t336 @t335 (_ @t328 (_ @t327 (_ @t326 @t333 tptp.c) tptp.a2) tptp.b))) % 151.76/152.10 (define @t355 () (_ @t328 (_ @t327 (_ @t326 @t331 tptp.c) tptp.a2) tptp.b)) % 151.76/152.10 (define @t356 () (_ @t337 @t354 @t355)) % 151.76/152.10 (define @t357 () (_ @t327 @t321 (_ @t328 (_ @t327 (_ @t326 @t330 tptp.c) tptp.a2) tptp.b))) % 151.76/152.10 (define @t358 () (_ @t328 (_ @t327 (_ @t326 @t330 @t10) @t26) @t11)) % 151.76/152.10 (define @t359 () (forall @t39 (= @t329 @t358))) % 151.76/152.10 (define @t360 () (tptp.modula17988509_aux_a tptp.inf tptp.sup @t10 @t26 @t11)) % 151.76/152.10 (define @t361 () (_ @t328 @t357 (_ @t328 (_ @t327 (_ @t326 @t325 tptp.c) tptp.a2) tptp.b))) % 151.76/152.10 (define @t362 () (= @t355 @t361)) % 151.76/152.10 (define @t363 () (not @t356)) % 151.76/152.10 (define @t364 () (or @t363 @t362)) % 151.76/152.10 (assume @p1 (forall @t8 (=> @t7 (=> @t5 @t3)))) % 151.76/152.10 (assume @p2 (forall @t9 (=> @t5 (= @t7 @t3)))) % 151.76/152.10 (assume @p3 (forall @t17 (=> @t16 (=> @t14 @t12)))) % 151.76/152.10 (assume @p4 (= @t25 (lambda @t22 (and @t21 @t20)))) % 151.76/152.10 (assume @p5 (forall @t30 (=> @t16 (=> @t29 @t28)))) % 151.76/152.10 (assume @p6 (= @t25 (lambda @t35 (and @t34 (_ (_ tptp.less_eq @t32) @t31))))) % 151.76/152.10 (assume @p7 (forall @t8 (=> @t3 @t7))) % 151.76/152.10 (assume @p8 (forall @t39 (=> @t12 @t38))) % 151.76/152.10 (assume @p9 (forall @t39 (=> @t14 (=> (= @t10 @t26) @t36)))) % 151.76/152.10 (assume @p10 (forall @t40 (=> @t14 (=> @t16 @t12)))) % 151.76/152.10 (assume @p11 (= @t25 (lambda @t22 (and @t20 @t21)))) % 151.76/152.10 (assume @p12 (forall @t39 (=> @t14 @t38))) % 151.76/152.10 (assume @p13 (forall @t44 (=> @t7 (=> @t43 @t42)))) % 151.76/152.10 (assume @p14 (forall @t39 (= (_ @t50 @t26) @t48))) % 151.76/152.10 (assume @p15 (forall @t40 (= @t49 (_ @t45 @t11)))) % 151.76/152.10 (assume @p16 (forall @t30 (= (_ @t45 (_ @t47 @t26)) @t48))) % 151.76/152.10 (assume @p17 (forall @t44 (= (_ @t56 @t41) @t54))) % 151.76/152.10 (assume @p18 (forall @t8 (= @t55 (_ @t51 @t2)))) % 151.76/152.10 (assume @p19 (forall @t44 (= @t54 (_ @t51 @t57)))) % 151.76/152.10 (assume @p20 (forall @t39 (= (_ @t63 @t26) @t61))) % 151.76/152.10 (assume @p21 (forall @t40 (= @t62 (_ @t58 @t11)))) % 151.76/152.10 (assume @p22 (forall @t30 (= (_ @t58 (_ @t60 @t26)) @t61))) % 151.76/152.10 (assume @p23 (forall @t44 (= (_ (_ tptp.sup @t68) @t41) @t67))) % 151.76/152.10 (assume @p24 (forall @t8 (= @t68 (_ @t64 @t2)))) % 151.76/152.10 (assume @p25 (forall @t44 (= @t67 (_ @t64 @t69)))) % 151.76/152.10 (assume @p26 (forall @t40 (=> @t14 @t70))) % 151.76/152.10 (assume @p27 (forall @t17 (=> @t16 @t71))) % 151.76/152.10 (assume @p28 (forall @t40 (= @t14 @t70))) % 151.76/152.10 (assume @p29 (forall @t17 (= @t16 @t71))) % 151.76/152.10 (assume @p30 (forall @t39 (=> @t72 (not (=> @t14 (not @t36)))))) % 151.76/152.10 (assume @p31 (forall @t39 (=> @t14 (=> @t36 @t72)))) % 151.76/152.10 (assume @p32 (forall @t40 (_ @t73 @t11))) % 151.76/152.10 (assume @p33 (forall @t40 (_ @t73 @t10))) % 151.76/152.10 (assume @p34 (forall (@list @t11 @t26 @t10) (=> @t36 @t74))) % 151.76/152.10 (assume @p35 (forall @t75 (=> @t37 @t74))) % 151.76/152.10 (assume @p36 (forall @t40 (=> @t14 @t76))) % 151.76/152.10 (assume @p37 (forall @t40 (=> @t76 @t14))) % 151.76/152.10 (assume @p38 (forall @t40 (= @t14 @t76))) % 151.76/152.10 (assume @p39 (forall @t8 (=> @t7 @t77))) % 151.76/152.10 (assume @p40 (forall @t9 (=> @t5 (= @t55 @t1)))) % 151.76/152.10 (assume @p41 (forall @t44 (=> @t7 (=> @t42 @t78)))) % 151.76/152.10 (assume @p42 (forall @t8 (_ @t79 @t2))) % 151.76/152.10 (assume @p43 (forall @t8 (_ @t79 @t1))) % 151.76/152.10 (assume @p44 (forall @t83 (=> @t36 (=> @t82 (_ @t73 (_ @t81 @t80)))))) % 151.76/152.10 (assume @p45 (forall @t96 (=> (forall @t95 (_ @t94 @t89)) (=> (forall @t95 (_ @t94 @t87)) (=> (forall @t92 (=> @t91 (=> (_ @t90 @t86) (_ @t90 @t88)))) (= @t55 @t85)))))) % 151.76/152.10 (assume @p46 (forall (@list @t11 @t97) (= (_ @t99 @t98) (_ @t97 @t11)))) % 151.76/152.10 (assume @p47 (forall @t104 (= (_ tptp.collect_a (lambda @t103 @t102)) @t100))) % 151.76/152.10 (assume @p48 (forall @t110 (=> (forall @t109 (= @t108 @t107)) (= @t98 @t106)))) % 151.76/152.10 (assume @p49 (forall @t8 (= @t7 @t77))) % 151.76/152.10 (assume @p50 (forall @t114 (=> @t113 (not (=> @t112 (not @t111)))))) % 151.76/152.10 (assume @p51 (forall @t114 (=> @t112 (=> @t111 @t113)))) % 151.76/152.10 (assume @p52 (forall @t117 (=> @t116 @t115))) % 151.76/152.10 (assume @p53 (forall (@list @t10 @t2 @t11) (=> @t118 @t115))) % 151.76/152.10 (assume @p54 (forall @t8 (= @t7 @t119))) % 151.76/152.10 (assume @p55 (forall (@list @t11 @t10 @t2) (=> @t121 (not (=> @t116 (not @t118)))))) % 151.76/152.10 (assume @p56 (forall @t117 (=> @t116 (=> @t118 @t121)))) % 151.76/152.10 (assume @p57 (forall @t114 (=> @t112 @t122))) % 151.76/152.10 (assume @p58 (forall (@list @t2 @t10 @t11) (=> @t111 @t122))) % 151.76/152.10 (assume @p59 (forall @t17 (=> @t16 @t123))) % 151.76/152.10 (assume @p60 (forall @t40 (=> @t14 @t124))) % 151.76/152.10 (assume @p61 (forall @t17 (= @t16 @t123))) % 151.76/152.10 (assume @p62 (forall @t40 (= @t14 @t124))) % 151.76/152.10 (assume @p63 (forall @t75 (=> @t125 (not (=> @t16 (not @t28)))))) % 151.76/152.10 (assume @p64 (forall @t30 (=> @t16 (=> @t28 @t125)))) % 151.76/152.10 (assume @p65 (forall @t40 (_ @t13 @t62))) % 151.76/152.10 (assume @p66 (forall @t17 (_ @t15 @t62))) % 151.76/152.10 (assume @p67 (forall @t127 (=> @t28 @t126))) % 151.76/152.10 (assume @p68 (forall (@list @t26 @t10 @t11) (=> @t29 @t126))) % 151.76/152.10 (assume @p69 (forall (@list @t26 @t11 @t80 @t10) (=> @t28 (=> (_ (_ tptp.less_eq @t80) @t10) (_ (_ tptp.less_eq @t129) @t62))))) % 151.76/152.10 (assume @p70 (forall @t17 (=> @t16 @t130))) % 151.76/152.10 (assume @p71 (forall @t40 (=> @t130 @t16))) % 151.76/152.10 (assume @p72 (forall @t17 (= @t16 @t130))) % 151.76/152.10 (assume @p73 (forall @t9 (=> @t5 (= @t68 @t2)))) % 151.76/152.10 (assume @p74 (forall @t8 (=> @t7 @t119))) % 151.76/152.10 (assume @p75 (forall @t8 (_ @t6 @t68))) % 151.76/152.10 (assume @p76 (forall @t9 (_ @t4 @t68))) % 151.76/152.10 (assume @p77 (forall (@list @t1 @t2 @t41) (=> @t5 (=> (_ (_ tptp.less_eq @t41) @t2) (_ (_ tptp.less_eq @t65) @t2))))) % 151.76/152.10 (assume @p78 (forall @t83 (=> @t36 (=> @t82 (_ @t120 @t129))))) % 151.76/152.10 (assume @p79 (forall @t96 (=> (forall @t95 (_ @t90 @t93)) (=> (forall @t95 (_ @t131 @t93)) (=> (forall @t92 (=> (_ @t131 @t89) (=> (_ (_ tptp.less_eq @t86) @t89) (_ (_ tptp.less_eq @t88) @t89)))) (= @t68 @t85)))))) % 151.76/152.10 (assume @p80 (forall @t44 (=> (forall @t92 (= (_ @t134 (_ (_ tptp.sup @t87) @t86)) (_ (_ tptp.sup @t135) (_ @t134 @t86)))) (= @t133 @t132)))) % 151.76/152.10 (assume @p81 (forall @t44 (=> (forall @t92 (= (_ @t138 (_ (_ tptp.inf @t87) @t86)) (_ (_ tptp.inf @t139) (_ @t138 @t86)))) (= @t137 @t136)))) % 151.76/152.10 (assume @p82 (forall @t39 (= @t142 (_ @t60 @t46)))) % 151.76/152.10 (assume @p83 (forall @t39 (= (_ @t47 @t141) (_ @t144 @t143)))) % 151.76/152.10 (assume @p84 (forall @t30 (= @t145 (_ @t58 @t143)))) % 151.76/152.10 (assume @p85 (forall @t30 (= (_ @t45 @t141) (_ (_ tptp.sup @t46) @t49)))) % 151.76/152.10 (assume @p86 (forall @t127 (= (_ @t81 @t141) (_ (_ tptp.sup @t143) @t46)))) % 151.76/152.10 (assume @p87 (forall @t39 (= @t141 (_ (_ tptp.sup (_ @t144 @t46)) @t143)))) % 151.76/152.10 (assume @p88 @t147) % 151.76/152.10 (assume @p89 (forall @t127 (= (_ (_ (_ @t140 @t26) @t11) @t10) @t141))) % 151.76/152.10 (assume @p90 (forall @t39 (= @t150 (_ @t47 @t59)))) % 151.76/152.10 (assume @p91 (forall @t30 (= @t152 (_ @t45 @t151)))) % 151.76/152.10 (assume @p92 (forall @t127 (= @t153 (_ @t81 @t62)))) % 151.76/152.10 (assume @p93 (forall @t39 (= @t149 (_ (_ tptp.inf (_ (_ tptp.inf @t62) @t59)) @t151)))) % 151.76/152.10 (assume @p94 @t155) % 151.76/152.10 (assume @p95 (forall @t127 (= (_ (_ (_ @t148 @t26) @t11) @t10) @t149))) % 151.76/152.10 (assume @p96 (forall @t44 (_ (_ tptp.less_eq @t136) @t137))) % 151.76/152.10 (assume @p97 (forall @t44 (_ (_ tptp.less_eq @t133) @t132))) % 151.76/152.10 (assume @p98 (forall @t44 (=> @t7 (= @t133 (_ @t51 @t69))))) % 151.76/152.10 (assume @p99 (forall @t8 (= (_ (_ (_ tptp.modula1727524044comp_a tptp.less_eq) @t2) @t1) (and (not @t7) (not @t5))))) % 151.76/152.10 (assume @p100 (forall @t156 (_ @t13 @t11))) % 151.76/152.10 (assume @p101 (forall @t157 (_ @t6 @t2))) % 151.76/152.10 (assume @p102 (forall @t156 (= (_ @t47 @t11) @t11))) % 151.76/152.10 (assume @p103 (forall @t40 (= (_ @t47 @t49) @t49))) % 151.76/152.10 (assume @p104 (forall @t40 (= (_ @t50 @t10) @t49))) % 151.76/152.10 (assume @p105 (forall @t157 (= (_ @t53 @t2) @t2))) % 151.76/152.10 (assume @p106 (forall @t8 (= (_ @t53 @t55) @t55))) % 151.76/152.10 (assume @p107 (forall @t8 (= (_ @t56 @t1) @t55))) % 151.76/152.10 (assume @p108 (forall @t156 (= (_ @t60 @t11) @t11))) % 151.76/152.10 (assume @p109 (forall @t40 (= (_ @t60 @t62) @t62))) % 151.76/152.10 (assume @p110 (forall @t40 (= (_ @t63 @t10) @t62))) % 151.76/152.10 (assume @p111 (forall @t157 (= (_ @t66 @t2) @t2))) % 151.76/152.10 (assume @p112 (forall @t8 (= (_ @t66 @t68) @t68))) % 151.76/152.10 (assume @p113 (forall @t166 (=> @t165 (=> @t164 (=> (forall @t109 (=> @t108 (=> (forall @t161 (=> @t160 (_ (_ tptp.less_eq @t159) @t89))) @t107))) (_ @t105 @t158)))))) % 151.76/152.10 (assume @p114 (forall @t167 (=> @t165 (=> @t164 (= @t158 @t2))))) % 151.76/152.10 (assume @p115 (forall @t40 (and (=> @t14 (= @t168 @t10)) (=> @t169 (= @t168 @t11))))) % 151.76/152.10 (assume @p116 (forall @t40 (and (=> @t14 (= @t170 @t11)) (=> @t169 (= @t170 @t10))))) % 151.76/152.10 (assume @p117 (forall @t39 (= @t172 (_ (_ tptp.sup @t150) @t141)))) % 151.76/152.10 (assume @p118 (forall @t39 (=> @t173 (= @t172 (_ (_ tptp.inf @t142) @t149))))) % 151.76/152.10 (assume @p119 (forall @t39 (= @t72 (and @t14 @t36)))) % 151.76/152.10 (assume @p120 (forall @t44 (= @t78 (and @t7 @t42)))) % 151.76/152.10 (assume @p121 (forall @t44 (= (_ (_ tptp.less_eq @t68) @t41) (and @t42 @t43)))) % 151.76/152.10 (assume @p122 (forall @t75 (= @t125 (and @t16 @t28)))) % 151.76/152.10 (assume @p123 (forall @t8 (= (_ @t53 @t68) @t2))) % 151.76/152.10 (assume @p124 (forall @t8 (= (_ @t66 @t55) @t2))) % 151.76/152.10 (assume @p125 (forall (@list @t97) (=> @t177 (_ @t97 @t174)))) % 151.76/152.10 (assume @p126 (forall (@list @t97 @t41) (=> @t177 (=> (_ @t97 @t41) (_ (_ tptp.less_eq @t174) @t41))))) % 151.76/152.10 (assume @p127 (forall @t166 (=> @t165 (=> @t178 (=> (forall @t109 (=> @t108 (=> (forall @t161 (=> @t160 (_ @t90 @t159))) @t107))) (_ @t105 @t174)))))) % 151.76/152.10 (assume @p128 (forall @t167 (=> @t165 (=> @t178 (= @t174 @t2))))) % 151.76/152.10 (assume @p129 (forall @t39 (= @t179 (_ (_ (_ @t171 @t26) @t11) @t10)))) % 151.76/152.10 (assume @p130 (forall @t39 (= @t179 (_ (_ tptp.sup @t153) @t141)))) % 151.76/152.10 (assume @p131 (forall @t39 (=> @t173 (= @t179 (_ (_ tptp.inf (_ @t128 @t141)) @t149))))) % 151.76/152.10 (assume @p132 (forall @t39 (=> @t173 (= (_ (_ tptp.inf @t179) @t172) @t141)))) % 151.76/152.10 (assume @p133 @t183) % 151.76/152.10 (assume @p134 (forall @t39 (= @t181 (_ (_ tptp.sup @t152) @t141)))) % 151.76/152.10 (assume @p135 (forall @t39 (=> @t173 (= @t181 (_ (_ tptp.inf @t145) @t149))))) % 151.76/152.10 (assume @p136 @t186) % 151.76/152.10 (assume @p137 (forall @t39 (=> @t173 (= (_ (_ tptp.inf @t172) @t181) @t141)))) % 151.76/152.10 (assume @p138 (= tptp.modula17988509_aux_a tptp.modula17988509_aux_a)) % 151.76/152.10 (assume @p139 (= tptp.modula1936294176_aux_a tptp.modula1936294176_aux_a)) % 151.76/152.10 (assume @p140 (= tptp.modula1144073633_aux_a tptp.modula1144073633_aux_a)) % 151.76/152.10 (assume @p141 (_ tptp.finite40241356em_a_a tptp.sup)) % 151.76/152.10 (assume @p142 (_ tptp.finite40241356em_a_a tptp.inf)) % 151.76/152.10 (assume @p143 (forall @t39 (=> @t173 (= (_ (_ tptp.sup @t181) @t179) @t149)))) % 151.76/152.10 (assume @p144 (forall @t39 (=> @t173 (= (_ (_ tptp.inf @t181) @t179) @t141)))) % 151.76/152.10 (assume @p145 (_ tptp.semigroup_a tptp.sup)) % 151.76/152.10 (assume @p146 (_ tptp.semigroup_a tptp.inf)) % 151.76/152.10 (assume @p147 (_ tptp.semilattice_a tptp.sup)) % 151.76/152.10 (assume @p148 (_ tptp.semilattice_a tptp.inf)) % 151.76/152.10 (assume @p149 (_ tptp.abel_semigroup_a tptp.sup)) % 151.76/152.10 (assume @p150 (_ tptp.abel_semigroup_a tptp.inf)) % 151.76/152.10 (assume @p151 (_ tptp.lattic1885654924_set_a tptp.sup)) % 151.76/152.10 (assume @p152 (_ tptp.lattic1885654924_set_a tptp.inf)) % 151.76/152.10 (assume @p153 (= tptp.modula1727524044comp_a tptp.modula1727524044comp_a)) % 151.76/152.10 (assume @p154 (= tptp.modula581031071_aux_a tptp.modula581031071_aux_a)) % 151.76/152.10 (assume @p155 (= tptp.modula1373251614_aux_a tptp.modula1373251614_aux_a)) % 151.76/152.10 (assume @p156 (forall @t189 (=> @t188 @t187))) % 151.76/152.10 (assume @p157 (= tptp.lattic1885654924_set_a tptp.semilattice_a)) % 151.76/152.10 (assume @p158 (forall @t189 (=> @t191 @t190))) % 151.76/152.10 (assume @p159 (forall (@list @t84 @t10 @t11 @t26) (=> @t188 (= (_ @t192 (_ @t193 @t26)) @t194)))) % 151.76/152.10 (assume @p160 (forall @t196 (=> @t188 (= @t195 (_ @t192 @t11))))) % 151.76/152.10 (assume @p161 (forall @t189 (=> (forall (@list @t199 @t198 @t197) (= (_ (_ @t84 (_ @t200 @t198)) @t197) (_ @t200 (_ (_ @t84 @t198) @t197)))) @t187))) % 151.76/152.10 (assume @p162 (forall (@list @t84 @t11 @t10 @t26) (=> @t187 (= (_ @t201 @t26) @t194)))) % 151.76/152.10 (assume @p163 (forall @t189 (=> @t190 @t191))) % 151.76/152.10 (assume @p164 (forall @t189 (=> @t191 @t188))) % 151.76/152.10 (assume @p165 (forall @t104 (= @t204 (exists (@list @t202) (forall @t103 (=> @t102 (_ @t33 @t202))))))) % 151.76/152.10 (assume @p166 (forall @t104 (= @t207 (exists (@list @t205) (forall @t103 (=> @t102 (_ (_ tptp.less_eq @t205) @t31))))))) % 151.76/152.10 (assume @p167 (forall (@list @t100 @t208) (=> (forall @t109 (=> @t210 (_ (_ tptp.less_eq @t208) @t89))) @t207))) % 151.76/152.10 (assume @p168 (forall (@list @t100 @t211) (=> (forall @t109 (=> @t210 (_ @t90 @t211))) @t204))) % 151.76/152.10 (assume @p169 (forall (@list @t84 @t11) (=> @t191 (= (_ @t193 @t11) @t11)))) % 151.76/152.10 (assume @p170 (forall @t196 (=> @t191 (= (_ @t193 @t195) @t195)))) % 151.76/152.10 (assume @p171 (forall @t196 (=> @t191 (= (_ @t201 @t10) @t195)))) % 151.76/152.10 (assume @p172 (forall @t216 (=> @t215 (=> @t214 @t204)))) % 151.76/152.10 (assume @p173 (forall @t216 (=> @t217 (=> @t214 @t207)))) % 151.76/152.10 (assume @p174 (forall @t104 (=> @t218 @t204))) % 151.76/152.10 (assume @p175 (forall @t225 (=> @t218 (=> @t224 (exists @t109 (and @t210 (_ @t13 @t89) @t223)))))) % 151.76/152.10 (assume @p176 (forall @t225 (=> @t218 (=> @t224 (exists @t109 (and @t210 (_ @t90 @t11) @t226)))))) % 151.76/152.10 (assume @p177 (forall @t104 (=> @t218 @t207))) % 151.76/152.10 (assume @p178 (forall @t231 (=> @t230 (=> @t7 (_ (_ tptp.ord_less_eq_set_a @t229) @t228))))) % 151.76/152.10 (assume @p179 (forall @t234 (=> (forall @t95 (=> @t91 (_ (_ tptp.ord_less_eq_set_a @t233) @t232))) @t230))) % 151.76/152.10 (assume @p180 (forall @t234 (= @t230 (forall @t35 (=> @t34 (_ (_ tptp.ord_less_eq_set_a @t236) @t235)))))) % 151.76/152.10 (assume @p181 (forall @t234 (= @t237 (forall @t35 (=> @t34 (_ (_ tptp.ord_less_eq_set_a @t235) @t236)))))) % 151.76/152.10 (assume @p182 (forall @t234 (=> (forall @t95 (=> @t91 (_ (_ tptp.ord_less_eq_set_a @t232) @t233))) @t237))) % 151.76/152.10 (assume @p183 (forall @t231 (=> @t237 (=> @t7 (_ (_ tptp.ord_less_eq_set_a @t228) @t229))))) % 151.76/152.10 (assume @p184 (forall @t225 (=> @t218 (=> @t224 (_ @t13 @t239))))) % 151.76/152.10 (assume @p185 (forall @t225 (=> @t218 (=> @t224 (_ @t242 @t11))))) % 151.76/152.10 (assume @p186 (forall @t246 (=> @t218 (=> @t245 (= @t243 @t239))))) % 151.76/152.10 (assume @p187 (forall @t246 (=> @t218 (=> @t245 (= @t247 @t241))))) % 151.76/152.10 (assume @p188 (forall @t225 (=> @t218 (=> @t224 (= (_ @t47 @t239) @t11))))) % 151.76/152.10 (assume @p189 (forall @t225 (=> @t218 (=> @t224 (= (_ (_ tptp.sup @t241) @t11) @t11))))) % 151.76/152.10 (assume @p190 (= tptp.lattic1781219155_fin_a tptp.lattic1781219155_fin_a)) % 151.76/152.10 (assume @p191 (= tptp.lattic247676691_fin_a tptp.lattic247676691_fin_a)) % 151.76/152.10 (assume @p192 (forall @t104 (=> @t218 (=> @t249 (_ @t242 @t239))))) % 151.76/152.10 (assume @p193 (forall @t253 (=> @t214 (=> @t249 (=> @t252 (_ @t251 @t250)))))) % 151.76/152.10 (assume @p194 (forall @t104 (=> @t218 (=> @t249 (exists @t109 (and @t210 @t226)))))) % 151.76/152.10 (assume @p195 (forall @t104 (=> @t218 (=> @t249 (exists @t109 (and @t210 @t223)))))) % 151.76/152.10 (assume @p196 (forall @t253 (=> @t218 (=> @t257 (=> @t256 (= (_ (_ tptp.inf @t254) @t241) @t241)))))) % 151.76/152.10 (assume @p197 (forall @t253 (=> @t218 (=> @t257 (=> @t256 (= (_ (_ tptp.sup @t250) @t239) @t239)))))) % 151.76/152.10 (assume @p198 (forall @t246 (=> @t218 (=> @t249 (= @t258 (forall @t103 (=> @t102 (_ @t6 @t31)))))))) % 151.76/152.10 (assume @p199 (forall @t246 (=> @t218 (=> @t249 (=> (forall @t260 (=> @t259 (_ @t6 @t199))) @t258))))) % 151.76/152.10 (assume @p200 (forall @t246 (=> @t218 (=> @t249 (=> @t258 (forall @t263 (=> @t262 (_ @t6 @t261)))))))) % 151.76/152.10 (assume @p201 (forall @t246 (=> @t218 (=> @t249 (= @t264 (forall @t103 (=> @t102 (_ @t33 @t2)))))))) % 151.76/152.10 (assume @p202 (forall @t246 (=> @t218 (=> @t249 (=> (forall @t260 (=> @t259 (_ (_ tptp.less_eq @t199) @t2))) @t264))))) % 151.76/152.10 (assume @p203 (forall @t246 (=> @t218 (=> @t249 (=> @t264 (forall @t263 (=> @t262 (_ (_ tptp.less_eq @t261) @t2)))))))) % 151.76/152.10 (assume @p204 (forall @t253 (=> @t214 (=> @t249 (=> @t252 (_ (_ tptp.less_eq @t254) @t241)))))) % 151.76/152.10 (assume @p205 (_ @t206 tptp.bot_bot_set_a)) % 151.76/152.10 (assume @p206 (_ @t203 tptp.bot_bot_set_a)) % 151.76/152.10 (assume @p207 (forall (@list @t265) (not (= tptp.bot_bot_set_a (_ @t266 @t265))))) % 151.76/152.10 (assume @p208 (forall (@list @t267) (not (= tptp.bot_bot_set_a (_ @t268 @t267))))) % 151.76/152.10 (assume @p209 (forall @t272 (= (_ @t271 (_ @t268 @t270)) (_ (_ tptp.less_eq @t270) @t269)))) % 151.76/152.10 (assume @p210 (forall @t272 (= (_ @t271 (_ @t266 @t270)) (_ (_ tptp.less_eq @t269) @t270)))) % 151.76/152.10 (assume @p211 (forall @t156 (_ @t206 (_ @t268 @t11)))) % 151.76/152.10 (assume @p212 (forall (@list @t10) (_ @t203 (_ @t266 @t10)))) % 151.76/152.10 (assume @p213 (forall @t104 (= (_ @t213 tptp.bot_bot_set_a) @t248))) % 151.76/152.10 (assume @p214 (forall @t104 (_ (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a) @t100))) % 151.76/152.10 (assume @p215 (forall @t253 (=> @t214 (=> @t256 @t273)))) % 151.76/152.10 (assume @p216 (forall @t253 (=> (forall @t109 (=> @t210 (_ @t209 @t212))) @t214))) % 151.76/152.10 (assume @p217 (forall @t110 (= @t274 (forall @t103 (=> (_ @t97 @t31) (_ @t105 @t31)))))) % 151.76/152.10 (assume @p218 (= (lambda (@list @t279 @t278) (= @t279 @t278)) (lambda @t277 (and (_ (_ tptp.ord_less_eq_set_a @t275) @t276) (_ (_ tptp.ord_less_eq_set_a @t276) @t275))))) % 151.76/152.10 (assume @p219 (forall (@list @t100 @t212 @t280) (=> @t214 (=> (_ @t255 @t280) (_ @t213 @t280))))) % 151.76/152.10 (assume @p220 (forall @t110 (=> (forall @t109 (=> @t108 @t107)) @t274))) % 151.76/152.10 (assume @p221 (forall @t104 (_ @t213 @t100))) % 151.76/152.10 (assume @p222 (forall @t253 (=> @t273 @t256))) % 151.76/152.10 (assume @p223 (forall @t253 (=> @t273 @t214))) % 151.76/152.10 (assume @p224 (= tptp.ord_less_eq_set_a (lambda @t277 (forall @t103 (=> (_ @t101 @t275) (_ @t101 @t276)))))) % 151.76/152.10 (assume @p225 (forall @t253 (=> @t273 (not (=> @t214 (not @t256)))))) % 151.76/152.10 (assume @p226 (forall (@list @t100 @t212 @t26) (=> @t214 (=> (_ @t281 @t100) (_ @t281 @t212))))) % 151.76/152.10 (assume @p227 (forall (@list @t100 @t212 @t2) (=> @t214 (=> @t245 @t282)))) % 151.76/152.10 (assume @p228 (forall (@list @t227 @t284 @t283) (=> @t237 (_ (_ tptp.ord_less_eq_set_a (_ @t227 (_ (_ tptp.inf @t284) @t283))) (_ (_ tptp.inf_inf_set_a (_ @t227 @t284)) (_ @t227 @t283)))))) % 151.76/152.10 (assume @p229 (forall @t104 (=> @t218 (=> @t249 (=> (forall @t95 (_ (_ tptp.member_a @t139) @t285)) (_ (_ tptp.member_a @t239) @t100)))))) % 151.76/152.10 (assume @p230 (forall @t253 (=> @t204 @t287))) % 151.76/152.10 (assume @p231 (forall @t216 (=> @t215 @t287))) % 151.76/152.10 (assume @p232 (forall @t253 (=> @t207 @t288))) % 151.76/152.10 (assume @p233 (forall @t216 (=> @t217 @t288))) % 151.76/152.10 (assume @p234 (forall (@list @t280 @t100 @t212) (= (_ @t289 @t286) (and (_ @t289 @t100) (_ @t289 @t212))))) % 151.76/152.10 (assume @p235 (forall @t294 (= (_ (_ tptp.inf_inf_set_a @t293) @t290) @t293))) % 151.76/152.10 (assume @p236 (forall @t299 (= (_ (_ tptp.inf_inf_set_a @t298) @t295) @t298))) % 151.76/152.10 (assume @p237 (forall @t294 (= (_ @t292 @t293) @t293))) % 151.76/152.10 (assume @p238 (forall @t299 (= (_ @t297 @t298) @t298))) % 151.76/152.10 (assume @p239 (forall @t300 (= (_ @t292 @t291) @t291))) % 151.76/152.10 (assume @p240 (forall (@list @t296) (= (_ @t297 @t296) @t296))) % 151.76/152.10 (assume @p241 (forall @t246 (=> @t218 (=> @t302 (=> @t249 (= (_ @t240 @t301) @t247)))))) % 151.76/152.10 (assume @p242 (forall @t104 (=> @t218 (=> @t249 (=> (forall @t95 (_ (_ tptp.member_a @t135) @t285)) (_ (_ tptp.member_a @t241) @t100)))))) % 151.76/152.10 (assume @p243 (forall @t246 (=> @t218 (=> @t302 (=> @t249 (= (_ @t238 @t301) @t243)))))) % 151.76/152.10 (assume @p244 (forall (@list @t291 @t290 @t303) (= (_ @t304 (_ (_ tptp.inf_inf_set_a @t290) @t303)) (and (_ @t304 @t290) (_ @t304 @t303))))) % 151.76/152.10 (assume @p245 (forall (@list @t296 @t295 @t305) (= (_ @t306 (_ (_ tptp.inf_inf_set_a @t295) @t305)) (and (_ @t306 @t295) (_ @t306 @t305))))) % 151.76/152.10 (assume @p246 (forall @t300 (= (_ @t292 tptp.bot_bot_set_a) tptp.bot_bot_set_a))) % 151.76/152.10 (assume @p247 (forall @t300 (= (_ (_ tptp.inf_inf_set_a tptp.bot_bot_set_a) @t291) tptp.bot_bot_set_a))) % 151.76/152.10 (assume @p248 (forall (@list @t2 @t100 @t212) (= (_ (_ tptp.ord_less_eq_set_a @t301) @t212) (and @t282 @t214)))) % 151.76/152.10 (assume @p249 (forall (@list @t10 @t11 @t100) (= (= @t307 @t309) @t308))) % 151.76/152.10 (assume @p250 (forall (@list @t11 @t100 @t10) (= (= @t309 @t307) @t308))) % 151.76/152.10 (assume @p251 @t311) % 151.76/152.10 (assume @p252 @t313) % 151.76/152.10 (assume @p253 true) % 151.76/152.10 (step @p254 (= tptp.semigroup_a @t317) :rule refl :args (@t317)) % 151.76/152.10 (step @p255 (= tptp.ord_less_eq_set_a @t320) :rule refl :args (@t320)) % 151.76/152.10 ; WARNING: add trust step for TRUST % 151.76/152.10 ; trust TRUST PREPROCESS_HO_ELIM % 151.76/152.10 (step @p256 :rule trust :premises () :args ((= (forall @t39 (or (not @t343) (= @t341 @t340))) (forall @t39 (or (not (_ @t337 (_ @t336 @t335 @t334) @t332)) (= @t332 (_ @t328 (_ @t327 @t321 (_ @t328 (_ @t327 (_ @t326 @t330 @t11) @t10) @t26)) @t329))))))) % 151.76/152.10 (step @p257 :rule refl :args ((tptp.sup @t172 @t181))) % 151.76/152.10 (step @p258 :rule refl :args (@t338)) % 151.76/152.10 (step @p259 :rule refl :args (@t339)) % 151.76/152.10 (step @p260 :rule cong :premises (@p259 @p258) :args (@t340)) % 151.76/152.10 (step @p261 :rule trans :premises (@p260 @p257)) % 151.76/152.10 (step @p262 :rule refl :args (tptp.sup)) % 151.76/152.10 (step @p263 :rule ho_cong :premises (@p262 @p259)) % 151.76/152.10 (step @p264 :rule ho_cong :premises (@p263 @p258)) % 151.76/152.10 (step @p265 :rule cong :premises (@p264 @p261) :args ((= (_ (_ tptp.sup @t339) @t338) @t340))) % 151.76/152.10 (step @p266 :rule symm :premises (@p265)) % 151.76/152.10 (step @p267 :rule refl :args (@t184)) % 151.76/152.10 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 151.76/152.10 (step @p269 :rule refl :args (@t181)) % 151.76/152.10 (step @p270 :rule cong :premises (@p269 @p258) :args ((= @t181 @t338))) % 151.76/152.10 (step @p271 :rule symm :premises (@p270)) % 151.76/152.10 (step @p272 :rule eq_resolve :premises (@p269 @p271)) % 151.76/152.10 (step @p273 :rule refl :args (@t172)) % 151.76/152.10 (step @p274 :rule cong :premises (@p273 @p259) :args ((= @t172 @t339))) % 151.76/152.10 (step @p275 :rule symm :premises (@p274)) % 151.76/152.10 (step @p276 :rule eq_resolve :premises (@p273 @p275)) % 151.76/152.10 (step @p277 :rule ho_cong :premises (@p262 @p276)) % 151.76/152.10 (step @p278 :rule ho_cong :premises (@p277 @p272)) % 151.76/152.10 (step @p279 :rule trans :premises (@p278 @p268)) % 151.76/152.10 (step @p280 :rule refl :args (@t341)) % 151.76/152.10 (step @p281 :rule refl :args (@t149)) % 151.76/152.10 (step @p282 :rule cong :premises (@p281 @p280) :args ((= @t149 @t341))) % 151.76/152.10 (step @p283 :rule symm :premises (@p282)) % 151.76/152.10 (step @p284 :rule eq_resolve :premises (@p281 @p283)) % 151.76/152.10 (step @p285 :rule cong :premises (@p284 @p279) :args (@t344)) % 151.76/152.10 (step @p286 :rule refl :args ((tptp.less_eq @t141 @t149))) % 151.76/152.10 (step @p287 :rule refl :args (@t342)) % 151.76/152.10 (step @p288 :rule cong :premises (@p287 @p280) :args (@t343)) % 151.76/152.10 (step @p289 :rule trans :premises (@p288 @p286)) % 151.76/152.10 (step @p290 :rule refl :args (tptp.less_eq)) % 151.76/152.10 (step @p291 :rule ho_cong :premises (@p290 @p287)) % 151.76/152.10 (step @p292 :rule ho_cong :premises (@p291 @p280)) % 151.76/152.10 (step @p293 :rule cong :premises (@p292 @p289) :args ((= (_ (_ tptp.less_eq @t342) @t341) @t343))) % 151.76/152.10 (step @p294 :rule symm :premises (@p293)) % 151.76/152.10 (step @p295 :rule refl :args (@t173)) % 151.76/152.10 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 151.76/152.10 (step @p297 :rule refl :args (@t141)) % 151.76/152.10 (step @p298 :rule cong :premises (@p297 @p287) :args ((= @t141 @t342))) % 151.76/152.10 (step @p299 :rule symm :premises (@p298)) % 151.76/152.10 (step @p300 :rule eq_resolve :premises (@p297 @p299)) % 151.76/152.10 (step @p301 :rule ho_cong :premises (@p290 @p300)) % 151.76/152.10 (step @p302 :rule ho_cong :premises (@p301 @p284)) % 151.76/152.10 (step @p303 :rule trans :premises (@p302 @p296)) % 151.76/152.10 (step @p304 :rule cong :premises (@p303) :args (@t345)) % 151.76/152.10 (step @p305 :rule nary_cong :premises (@p304 @p285) :args (@t346)) % 151.76/152.10 (step @p306 :rule cong :premises (@p305) :args ((forall @t39 @t346))) % 151.76/152.10 (step @p307 :rule bool-impl-elim :args (@t173 @t344)) % 151.76/152.10 (step @p308 :rule cong :premises (@p307) :args ((forall @t39 (=> @t173 @t344)))) % 151.76/152.10 (step @p309 :rule trans :premises (@p308 @p306)) % 151.76/152.10 (step @p310 :rule eq-symm :args (@t184 @t149)) % 151.76/152.10 (step @p311 :rule refl :args (@t173)) % 151.76/152.10 (step @p312 :rule cong :premises (@p311 @p310) :args (@t185)) % 151.76/152.10 (step @p313 :rule cong :premises (@p312) :args (@t186)) % 151.76/152.10 (step @p314 :rule trans :premises (@p313 @p309)) % 151.76/152.10 (step @p315 :rule trans :premises (@p314 @p256)) % 151.76/152.10 (step @p316 :rule eq_resolve :premises (@p136 @p315)) % 151.76/152.10 (step @p317 :rule instantiate :premises (@p316) :args (@t347)) % 151.76/152.10 ; trust TRUST PREPROCESS_HO_ELIM % 151.76/152.10 (step @p318 :rule trust :premises () :args ((= @t311 (_ @t337 (_ @t336 @t335 (_ @t328 (_ @t327 (_ @t326 @t333 tptp.a2) tptp.b) tptp.c)) @t348)))) % 151.76/152.10 (step @p319 :rule eq_resolve :premises (@p251 @p318)) % 151.76/152.10 (step @p320 :rule true_intro :premises (@p319)) % 151.76/152.10 ; trust TRUST PREPROCESS_HO_ELIM % 151.76/152.10 (step @p321 :rule trust :premises () :args ((= (forall @t75 (= @t341 @t349)) (forall @t75 (= @t332 (_ @t328 (_ @t327 (_ @t326 @t331 @t10) @t26) @t11)))))) % 151.76/152.10 (step @p322 :rule refl :args (@t349)) % 151.76/152.10 (step @p323 :rule refl :args (@t154)) % 151.76/152.10 (step @p324 :rule cong :premises (@p323 @p322) :args ((= @t154 @t349))) % 151.76/152.10 (step @p325 :rule symm :premises (@p324)) % 151.76/152.10 (step @p326 :rule eq_resolve :premises (@p323 @p325)) % 151.76/152.10 (step @p327 :rule cong :premises (@p284 @p326) :args (@t350)) % 151.76/152.10 (step @p328 :rule cong :premises (@p327) :args ((forall @t75 @t350))) % 151.76/152.10 (step @p329 :rule eq-symm :args (@t154 @t149)) % 151.76/152.10 (step @p330 :rule cong :premises (@p329) :args (@t155)) % 151.76/152.10 (step @p331 :rule trans :premises (@p330 @p328)) % 151.76/152.10 (step @p332 :rule trans :premises (@p331 @p321)) % 151.76/152.10 (step @p333 :rule eq_resolve :premises (@p94 @p332)) % 151.76/152.10 (step @p334 :rule instantiate :premises (@p333) :args (@t351)) % 151.76/152.10 ; trust TRUST PREPROCESS_HO_ELIM % 151.76/152.10 (step @p335 :rule trust :premises () :args ((= (forall @t75 (= @t342 @t352)) (forall @t75 (= @t334 (_ @t328 (_ @t327 (_ @t326 @t333 @t10) @t26) @t11)))))) % 151.76/152.10 (step @p336 :rule refl :args (@t352)) % 151.76/152.10 (step @p337 :rule refl :args (@t146)) % 151.76/152.10 (step @p338 :rule cong :premises (@p337 @p336) :args ((= @t146 @t352))) % 151.76/152.10 (step @p339 :rule symm :premises (@p338)) % 151.76/152.10 (step @p340 :rule eq_resolve :premises (@p337 @p339)) % 151.76/152.10 (step @p341 :rule cong :premises (@p300 @p340) :args (@t353)) % 151.76/152.10 (step @p342 :rule cong :premises (@p341) :args ((forall @t75 @t353))) % 151.76/152.10 (step @p343 :rule eq-symm :args (@t146 @t141)) % 151.76/152.10 (step @p344 :rule cong :premises (@p343) :args (@t147)) % 151.76/152.10 (step @p345 :rule trans :premises (@p344 @p342)) % 151.76/152.10 (step @p346 :rule trans :premises (@p345 @p335)) % 151.76/152.10 (step @p347 :rule eq_resolve :premises (@p88 @p346)) % 151.76/152.10 (step @p348 :rule instantiate :premises (@p347) :args (@t351)) % 151.76/152.10 (step @p349 :rule refl :args (@t335)) % 151.76/152.10 (step @p350 :rule cong :premises (@p349 @p348) :args (@t354)) % 151.76/152.10 (step @p351 :rule cong :premises (@p350 @p334) :args (@t356)) % 151.76/152.10 (step @p352 :rule trans :premises (@p351 @p320)) % 151.76/152.10 (step @p353 :rule true_elim :premises (@p352)) % 151.76/152.10 ; trust TRUST PREPROCESS_HO_ELIM % 151.76/152.10 (step @p354 :rule trust :premises () :args ((= (not (= @t310 @t312)) (not (= @t348 (_ @t328 @t357 (_ @t328 (_ @t327 (_ @t326 @t330 tptp.a2) tptp.b) tptp.c))))))) % 151.76/152.10 (step @p355 :rule eq-symm :args (@t312 @t310)) % 151.76/152.10 (step @p356 :rule cong :premises (@p355) :args (@t313)) % 151.76/152.10 (step @p357 :rule trans :premises (@p356 @p354)) % 151.76/152.10 (step @p358 :rule eq_resolve :premises (@p252 @p357)) % 151.76/152.10 (step @p359 :rule false_intro :premises (@p358)) % 151.76/152.10 (step @p360 :rule eq-symm :args (@t329 @t358)) % 151.76/152.10 (step @p361 :rule cong :premises (@p360) :args (@t359)) % 151.76/152.10 ; trust TRUST PREPROCESS_HO_ELIM % 151.76/152.10 (step @p362 :rule trust :premises () :args ((= (forall @t39 (= @t338 @t360)) @t359))) % 151.76/152.10 (step @p363 :rule refl :args (@t360)) % 151.76/152.10 (step @p364 :rule refl :args (@t180)) % 151.76/152.10 (step @p365 :rule cong :premises (@p364 @p363) :args ((= @t180 @t360))) % 151.76/152.10 (step @p366 :rule symm :premises (@p365)) % 151.76/152.10 (step @p367 :rule eq_resolve :premises (@p364 @p366)) % 151.76/152.10 (step @p368 :rule cong :premises (@p272 @p367) :args (@t182)) % 151.76/152.10 (step @p369 :rule cong :premises (@p368) :args (@t183)) % 151.76/152.10 (step @p370 :rule trans :premises (@p369 @p362 @p361)) % 151.76/152.10 (step @p371 :rule eq_resolve :premises (@p133 @p370)) % 151.76/152.10 (step @p372 :rule instantiate :premises (@p371) :args (@t347)) % 151.76/152.10 (step @p373 :rule symm :premises (@p372)) % 151.76/152.10 (step @p374 :rule refl :args (@t357)) % 151.76/152.10 (step @p375 :rule cong :premises (@p374 @p373) :args (@t361)) % 151.76/152.10 (step @p376 :rule cong :premises (@p334 @p375) :args (@t362)) % 151.76/152.10 (step @p377 :rule trans :premises (@p376 @p359)) % 151.76/152.10 (step @p378 :rule false_elim :premises (@p377)) % 151.76/152.10 (step @p379 :rule cnf_or_pos :args (@t364)) % 151.76/152.10 (step @p380 :rule reordering :premises (@p379) :args ((or @t363 @t362 (not @t364)))) % 151.76/152.10 (step @p381 false :rule chain_m_resolution :premises (@p380 @p378 @p353 @p317) :args (false (@list true false false) (@list @t362 @t356 @t364))) % 151.76/152.10 ) % 151.76/152.10 % SZS output end Proof % 151.76/152.10 % cvc5 exiting %------------------------------------------------------------------------------