%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP120^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:25:06 AM UTC 2026 % Result : Theorem 153.69s 154.07s % Output : Proof 153.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP120^1 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:14:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.37/0.55 %----Proving TH0 % 153.69/154.07 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 153.69/154.07 --- 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... % 153.69/154.07 --- 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... % 153.69/154.07 --- Run --ho-elim --full-saturate-quant at 18s... % 153.69/154.07 % SZS status Theorem % 153.69/154.07 % SZS output start Proof % 153.69/154.07 ( % 153.69/154.07 (declare-sort tptp.set_a 0) % 153.69/154.07 (declare-sort tptp.a 0) % 153.69/154.07 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 153.69/154.07 (declare-const tptp.if_a (-> Bool tptp.a tptp.a tptp.a)) % 153.69/154.07 (declare-const tptp.a2 tptp.a) % 153.69/154.07 (declare-const tptp.condit1627435690bove_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 153.69/154.07 (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)) % 153.69/154.07 (declare-const tptp.sup (-> tptp.a tptp.a tptp.a)) % 153.69/154.07 (declare-const tptp.modula1727524044comp_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool)) % 153.69/154.07 (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)) % 153.69/154.07 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 153.69/154.07 (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)) % 153.69/154.07 (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)) % 153.69/154.07 (declare-const tptp.inf (-> tptp.a tptp.a tptp.a)) % 153.69/154.07 (declare-const tptp.lattic1885654924_set_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 153.69/154.07 (declare-const tptp.greatest_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 153.69/154.07 (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)) % 153.69/154.07 (declare-const tptp.less_eq (-> tptp.a tptp.a Bool)) % 153.69/154.07 (declare-const tptp.least_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 153.69/154.07 (declare-const tptp.finite40241356em_a_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 153.69/154.07 (declare-const tptp.semilattice_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 153.69/154.07 (declare-const tptp.b tptp.a) % 153.69/154.07 (declare-const tptp.abel_semigroup_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 153.69/154.07 (declare-const tptp.mono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) % 153.69/154.07 (declare-const tptp.condit1001553558elow_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 153.69/154.07 (declare-const tptp.antimono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) % 153.69/154.07 (declare-const tptp.finite_finite_a (-> tptp.set_a Bool)) % 153.69/154.07 (declare-const tptp.inf_inf_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 153.69/154.07 (declare-const tptp.sup_sup_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 153.69/154.07 (declare-const tptp.c tptp.a) % 153.69/154.07 (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))))))))))) % 153.69/154.07 (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 "A5" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 153.69/154.07 (define tptp.min_a () (let ((_let_1 (@var "B2" tptp.a))) (let ((_let_2 (@var "A2" tptp.a))) (let ((_let_3 (@var "Less_eq" (-> tptp.a tptp.a Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.if_a (_ (_ _let_3 _let_2) _let_1)) _let_2) _let_1)))))) % 153.69/154.07 (define tptp.max_a () (let ((_let_1 (@var "A2" tptp.a))) (let ((_let_2 (@var "B2" tptp.a))) (let ((_let_3 (@var "Less_eq" (-> tptp.a tptp.a Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ (_ tptp.if_a (_ (_ _let_3 _let_1) _let_2)) _let_2) _let_1)))))) % 153.69/154.07 (define @t1 () (@var "Y" tptp.a)) % 153.69/154.07 (define @t2 () (@var "X" tptp.a)) % 153.69/154.07 (define @t3 () (= @t2 @t1)) % 153.69/154.07 (define @t4 () (_ tptp.less_eq @t1)) % 153.69/154.07 (define @t5 () (_ @t4 @t2)) % 153.69/154.07 (define @t6 () (_ tptp.less_eq @t2)) % 153.69/154.07 (define @t7 () (_ @t6 @t1)) % 153.69/154.07 (define @t8 () (@list @t2 @t1)) % 153.69/154.07 (define @t9 () (@list @t1 @t2)) % 153.69/154.07 (define @t10 () (@var "B" tptp.a)) % 153.69/154.07 (define @t11 () (@var "A" tptp.a)) % 153.69/154.07 (define @t12 () (= @t11 @t10)) % 153.69/154.07 (define @t13 () (_ tptp.less_eq @t11)) % 153.69/154.07 (define @t14 () (_ @t13 @t10)) % 153.69/154.07 (define @t15 () (_ tptp.less_eq @t10)) % 153.69/154.07 (define @t16 () (_ @t15 @t11)) % 153.69/154.07 (define @t17 () (@list @t10 @t11)) % 153.69/154.07 (define @t18 () (@var "B2" tptp.a)) % 153.69/154.07 (define @t19 () (@var "A2" tptp.a)) % 153.69/154.07 (define @t20 () (_ (_ tptp.less_eq @t19) @t18)) % 153.69/154.07 (define @t21 () (_ (_ tptp.less_eq @t18) @t19)) % 153.69/154.07 (define @t22 () (@list @t19 @t18)) % 153.69/154.07 (define @t23 () (@var "Z" tptp.a)) % 153.69/154.07 (define @t24 () (@var "Y2" tptp.a)) % 153.69/154.07 (define @t25 () (lambda (@list @t24 @t23) (= @t24 @t23))) % 153.69/154.07 (define @t26 () (@var "C" tptp.a)) % 153.69/154.07 (define @t27 () (_ tptp.less_eq @t26)) % 153.69/154.07 (define @t28 () (_ @t27 @t11)) % 153.69/154.07 (define @t29 () (_ @t27 @t10)) % 153.69/154.07 (define @t30 () (@list @t10 @t11 @t26)) % 153.69/154.07 (define @t31 () (@var "X2" tptp.a)) % 153.69/154.07 (define @t32 () (@var "Y3" tptp.a)) % 153.69/154.07 (define @t33 () (_ tptp.less_eq @t31)) % 153.69/154.07 (define @t34 () (_ @t33 @t32)) % 153.69/154.07 (define @t35 () (@list @t31 @t32)) % 153.69/154.07 (define @t36 () (_ @t13 @t26)) % 153.69/154.07 (define @t37 () (_ @t15 @t26)) % 153.69/154.07 (define @t38 () (=> @t37 @t36)) % 153.69/154.07 (define @t39 () (@list @t11 @t10 @t26)) % 153.69/154.07 (define @t40 () (@list @t11 @t10)) % 153.69/154.07 (define @t41 () (@var "Z2" tptp.a)) % 153.69/154.07 (define @t42 () (_ @t6 @t41)) % 153.69/154.07 (define @t43 () (_ @t4 @t41)) % 153.69/154.07 (define @t44 () (@list @t2 @t1 @t41)) % 153.69/154.07 (define @t45 () (_ tptp.inf @t10)) % 153.69/154.07 (define @t46 () (_ @t45 @t26)) % 153.69/154.07 (define @t47 () (_ tptp.inf @t11)) % 153.69/154.07 (define @t48 () (_ @t47 @t46)) % 153.69/154.07 (define @t49 () (_ @t47 @t10)) % 153.69/154.07 (define @t50 () (_ tptp.inf @t49)) % 153.69/154.07 (define @t51 () (_ tptp.inf @t1)) % 153.69/154.07 (define @t52 () (_ @t51 @t41)) % 153.69/154.07 (define @t53 () (_ tptp.inf @t2)) % 153.69/154.07 (define @t54 () (_ @t53 @t52)) % 153.69/154.07 (define @t55 () (_ @t53 @t1)) % 153.69/154.07 (define @t56 () (_ tptp.inf @t55)) % 153.69/154.07 (define @t57 () (_ @t53 @t41)) % 153.69/154.07 (define @t58 () (_ tptp.sup @t10)) % 153.69/154.07 (define @t59 () (_ @t58 @t26)) % 153.69/154.07 (define @t60 () (_ tptp.sup @t11)) % 153.69/154.07 (define @t61 () (_ @t60 @t59)) % 153.69/154.07 (define @t62 () (_ @t60 @t10)) % 153.69/154.07 (define @t63 () (_ tptp.sup @t62)) % 153.69/154.07 (define @t64 () (_ tptp.sup @t1)) % 153.69/154.07 (define @t65 () (_ @t64 @t41)) % 153.69/154.07 (define @t66 () (_ tptp.sup @t2)) % 153.69/154.07 (define @t67 () (_ @t66 @t65)) % 153.69/154.07 (define @t68 () (_ @t66 @t1)) % 153.69/154.07 (define @t69 () (_ @t66 @t41)) % 153.69/154.07 (define @t70 () (= @t49 @t11)) % 153.69/154.07 (define @t71 () (= @t49 @t10)) % 153.69/154.07 (define @t72 () (_ @t13 @t46)) % 153.69/154.07 (define @t73 () (_ tptp.less_eq @t49)) % 153.69/154.07 (define @t74 () (_ @t73 @t26)) % 153.69/154.07 (define @t75 () (@list @t10 @t26 @t11)) % 153.69/154.07 (define @t76 () (= @t11 @t49)) % 153.69/154.07 (define @t77 () (= @t55 @t2)) % 153.69/154.07 (define @t78 () (_ @t6 @t52)) % 153.69/154.07 (define @t79 () (_ tptp.less_eq @t55)) % 153.69/154.07 (define @t80 () (@var "D" tptp.a)) % 153.69/154.07 (define @t81 () (_ tptp.inf @t26)) % 153.69/154.07 (define @t82 () (_ @t15 @t80)) % 153.69/154.07 (define @t83 () (@list @t11 @t26 @t10 @t80)) % 153.69/154.07 (define @t84 () (@var "F" (-> tptp.a tptp.a tptp.a))) % 153.69/154.07 (define @t85 () (_ (_ @t84 @t2) @t1)) % 153.69/154.07 (define @t86 () (@var "Z3" tptp.a)) % 153.69/154.07 (define @t87 () (@var "Y4" tptp.a)) % 153.69/154.07 (define @t88 () (_ (_ @t84 @t87) @t86)) % 153.69/154.07 (define @t89 () (@var "X3" tptp.a)) % 153.69/154.07 (define @t90 () (_ tptp.less_eq @t89)) % 153.69/154.07 (define @t91 () (_ @t90 @t87)) % 153.69/154.07 (define @t92 () (@list @t89 @t87 @t86)) % 153.69/154.07 (define @t93 () (_ (_ @t84 @t89) @t87)) % 153.69/154.07 (define @t94 () (_ tptp.less_eq @t93)) % 153.69/154.07 (define @t95 () (@list @t89 @t87)) % 153.69/154.07 (define @t96 () (@list @t84 @t2 @t1)) % 153.69/154.07 (define @t97 () (@var "P" (-> tptp.a Bool))) % 153.69/154.07 (define @t98 () (_ tptp.collect_a @t97)) % 153.69/154.07 (define @t99 () (_ tptp.member_a @t11)) % 153.69/154.07 (define @t100 () (@var "A3" tptp.set_a)) % 153.69/154.07 (define @t101 () (_ tptp.member_a @t31)) % 153.69/154.07 (define @t102 () (_ @t101 @t100)) % 153.69/154.07 (define @t103 () (@list @t31)) % 153.69/154.07 (define @t104 () (@list @t100)) % 153.69/154.07 (define @t105 () (@var "Q" (-> tptp.a Bool))) % 153.69/154.07 (define @t106 () (_ tptp.collect_a @t105)) % 153.69/154.07 (define @t107 () (_ @t105 @t89)) % 153.69/154.07 (define @t108 () (_ @t97 @t89)) % 153.69/154.07 (define @t109 () (@list @t89)) % 153.69/154.07 (define @t110 () (@list @t97 @t105)) % 153.69/154.07 (define @t111 () (_ @t6 @t10)) % 153.69/154.07 (define @t112 () (_ @t6 @t11)) % 153.69/154.07 (define @t113 () (_ @t6 @t49)) % 153.69/154.07 (define @t114 () (@list @t2 @t11 @t10)) % 153.69/154.07 (define @t115 () (_ @t73 @t2)) % 153.69/154.07 (define @t116 () (_ @t13 @t2)) % 153.69/154.07 (define @t117 () (@list @t11 @t2 @t10)) % 153.69/154.07 (define @t118 () (_ @t15 @t2)) % 153.69/154.07 (define @t119 () (= @t68 @t1)) % 153.69/154.07 (define @t120 () (_ tptp.less_eq @t62)) % 153.69/154.07 (define @t121 () (_ @t120 @t2)) % 153.69/154.07 (define @t122 () (_ @t6 @t62)) % 153.69/154.07 (define @t123 () (= @t62 @t11)) % 153.69/154.07 (define @t124 () (= @t62 @t10)) % 153.69/154.07 (define @t125 () (_ (_ tptp.less_eq @t59) @t11)) % 153.69/154.07 (define @t126 () (_ @t27 @t62)) % 153.69/154.07 (define @t127 () (@list @t26 @t11 @t10)) % 153.69/154.07 (define @t128 () (_ tptp.sup @t26)) % 153.69/154.07 (define @t129 () (_ @t128 @t80)) % 153.69/154.07 (define @t130 () (= @t11 @t62)) % 153.69/154.07 (define @t131 () (_ tptp.less_eq @t87)) % 153.69/154.07 (define @t132 () (_ (_ tptp.inf @t68) @t69)) % 153.69/154.07 (define @t133 () (_ @t66 @t52)) % 153.69/154.07 (define @t134 () (_ tptp.inf @t89)) % 153.69/154.07 (define @t135 () (_ (_ tptp.sup @t55) @t57)) % 153.69/154.07 (define @t136 () (_ @t53 @t65)) % 153.69/154.07 (define @t137 () (_ tptp.sup @t89)) % 153.69/154.07 (define @t138 () (_ (_ tptp.modula1936294176_aux_a tptp.inf) tptp.sup)) % 153.69/154.07 (define @t139 () (_ (_ (_ @t138 @t11) @t10) @t26)) % 153.69/154.07 (define @t140 () (_ @t81 @t11)) % 153.69/154.07 (define @t141 () (_ tptp.sup @t49)) % 153.69/154.07 (define @t142 () (_ (_ (_ @t138 @t10) @t26) @t11)) % 153.69/154.07 (define @t143 () (forall @t75 (= @t142 @t139))) % 153.69/154.07 (define @t144 () (_ (_ tptp.modula1144073633_aux_a tptp.inf) tptp.sup)) % 153.69/154.07 (define @t145 () (_ (_ (_ @t144 @t11) @t10) @t26)) % 153.69/154.07 (define @t146 () (_ @t47 @t145)) % 153.69/154.07 (define @t147 () (_ @t128 @t11)) % 153.69/154.07 (define @t148 () (_ @t45 @t145)) % 153.69/154.07 (define @t149 () (_ @t81 @t145)) % 153.69/154.07 (define @t150 () (_ (_ (_ @t144 @t10) @t26) @t11)) % 153.69/154.07 (define @t151 () (forall @t75 (= @t150 @t145))) % 153.69/154.07 (define @t152 () (@list @t11)) % 153.69/154.07 (define @t153 () (@list @t2)) % 153.69/154.07 (define @t154 () (_ (_ tptp.modula17988509_aux_a tptp.inf) tptp.sup)) % 153.69/154.07 (define @t155 () (_ (_ (_ @t154 @t26) @t11) @t10)) % 153.69/154.07 (define @t156 () (_ (_ tptp.modula581031071_aux_a tptp.inf) tptp.sup)) % 153.69/154.07 (define @t157 () (_ (_ (_ @t156 @t11) @t10) @t26)) % 153.69/154.07 (define @t158 () (= @t157 @t155)) % 153.69/154.07 (define @t159 () (forall @t39 @t158)) % 153.69/154.07 (define @t160 () (_ (_ tptp.greatest_a tptp.less_eq) @t97)) % 153.69/154.07 (define @t161 () (@var "Y5" tptp.a)) % 153.69/154.07 (define @t162 () (_ @t97 @t161)) % 153.69/154.07 (define @t163 () (@list @t161)) % 153.69/154.07 (define @t164 () (_ @t97 @t87)) % 153.69/154.07 (define @t165 () (@list @t87)) % 153.69/154.07 (define @t166 () (forall @t165 (=> @t164 (_ @t131 @t2)))) % 153.69/154.07 (define @t167 () (_ @t97 @t2)) % 153.69/154.07 (define @t168 () (@list @t97 @t2 @t105)) % 153.69/154.07 (define @t169 () (@list @t97 @t2)) % 153.69/154.07 (define @t170 () (_ (_ (_ tptp.max_a tptp.less_eq) @t11) @t10)) % 153.69/154.07 (define @t171 () (not @t14)) % 153.69/154.07 (define @t172 () (_ (_ (_ tptp.min_a tptp.less_eq) @t11) @t10)) % 153.69/154.07 (define @t173 () (_ (_ (_ @t154 @t11) @t10) @t26)) % 153.69/154.07 (define @t174 () (_ (_ (_ @t154 @t10) @t26) @t11)) % 153.69/154.07 (define @t175 () (_ (_ (_ (_ (_ tptp.modula1373251614_aux_a tptp.inf) tptp.sup) @t11) @t10) @t26)) % 153.69/154.07 (define @t176 () (= @t175 @t174)) % 153.69/154.07 (define @t177 () (forall @t39 @t176)) % 153.69/154.07 (define @t178 () (_ (_ tptp.least_a tptp.less_eq) @t97)) % 153.69/154.07 (define @t179 () (@var "X4" tptp.a)) % 153.69/154.07 (define @t180 () (@var "Ya" tptp.a)) % 153.69/154.07 (define @t181 () (exists (@list @t179) (and (_ @t97 @t179) (forall @t165 (=> @t164 (_ (_ tptp.less_eq @t179) @t87))) (forall @t165 (=> (and @t164 (forall (@list @t180) (=> (_ @t97 @t180) (_ @t131 @t180)))) (= @t87 @t179)))))) % 153.69/154.07 (define @t182 () (forall @t165 (=> @t164 (_ @t6 @t87)))) % 153.69/154.07 (define @t183 () (_ (_ tptp.inf @t173) @t175)) % 153.69/154.07 (define @t184 () (_ (_ tptp.less_eq @t139) @t145)) % 153.69/154.07 (define @t185 () (=> @t184 (= @t183 @t139))) % 153.69/154.07 (define @t186 () (forall @t39 @t185)) % 153.69/154.07 (define @t187 () (@var "M" tptp.a)) % 153.69/154.07 (define @t188 () (_ tptp.condit1627435690bove_a tptp.less_eq)) % 153.69/154.07 (define @t189 () (_ @t188 @t100)) % 153.69/154.07 (define @t190 () (@var "M2" tptp.a)) % 153.69/154.07 (define @t191 () (_ tptp.condit1001553558elow_a tptp.less_eq)) % 153.69/154.07 (define @t192 () (_ @t191 @t100)) % 153.69/154.07 (define @t193 () (@var "M3" tptp.a)) % 153.69/154.07 (define @t194 () (_ tptp.member_a @t89)) % 153.69/154.07 (define @t195 () (_ @t194 @t100)) % 153.69/154.07 (define @t196 () (@var "M4" tptp.a)) % 153.69/154.07 (define @t197 () (_ tptp.semigroup_a @t84)) % 153.69/154.07 (define @t198 () (_ tptp.abel_semigroup_a @t84)) % 153.69/154.07 (define @t199 () (@list @t84)) % 153.69/154.07 (define @t200 () (_ tptp.lattic1885654924_set_a @t84)) % 153.69/154.07 (define @t201 () (_ tptp.semilattice_a @t84)) % 153.69/154.07 (define @t202 () (_ @t84 @t10)) % 153.69/154.07 (define @t203 () (_ @t84 @t11)) % 153.69/154.07 (define @t204 () (_ @t203 (_ @t202 @t26))) % 153.69/154.07 (define @t205 () (_ @t203 @t10)) % 153.69/154.07 (define @t206 () (@list @t84 @t11 @t10)) % 153.69/154.07 (define @t207 () (@var "C2" tptp.a)) % 153.69/154.07 (define @t208 () (@var "B3" tptp.a)) % 153.69/154.07 (define @t209 () (@var "A4" tptp.a)) % 153.69/154.07 (define @t210 () (_ @t84 @t209)) % 153.69/154.07 (define @t211 () (_ @t84 @t205)) % 153.69/154.07 (define @t212 () (@var "B4" tptp.set_a)) % 153.69/154.07 (define @t213 () (_ tptp.ord_less_eq_set_a @t100)) % 153.69/154.07 (define @t214 () (_ @t213 @t212)) % 153.69/154.07 (define @t215 () (_ @t188 @t212)) % 153.69/154.07 (define @t216 () (@list @t212 @t100)) % 153.69/154.07 (define @t217 () (_ @t191 @t212)) % 153.69/154.07 (define @t218 () (@var "F" (-> tptp.a tptp.set_a))) % 153.69/154.07 (define @t219 () (_ @t218 @t31)) % 153.69/154.07 (define @t220 () (_ @t218 @t32)) % 153.69/154.07 (define @t221 () (_ (_ tptp.antimono_a_set_a tptp.less_eq) @t218)) % 153.69/154.07 (define @t222 () (@list @t218)) % 153.69/154.07 (define @t223 () (_ @t218 @t89)) % 153.69/154.07 (define @t224 () (_ @t218 @t87)) % 153.69/154.07 (define @t225 () (_ @t218 @t2)) % 153.69/154.07 (define @t226 () (_ @t218 @t1)) % 153.69/154.07 (define @t227 () (@list @t218 @t2 @t1)) % 153.69/154.07 (define @t228 () (_ (_ tptp.mono_a_set_a tptp.less_eq) @t218)) % 153.69/154.07 (define @t229 () (@list @t100 @t212)) % 153.69/154.07 (define @t230 () (= @t100 @t212)) % 153.69/154.07 (define @t231 () (_ tptp.ord_less_eq_set_a @t212)) % 153.69/154.07 (define @t232 () (_ @t231 @t100)) % 153.69/154.07 (define @t233 () (@var "X" tptp.set_a)) % 153.69/154.07 (define @t234 () (_ tptp.ord_less_eq_set_a @t233)) % 153.69/154.07 (define @t235 () (@list @t233)) % 153.69/154.07 (define @t236 () (@var "B" tptp.set_a)) % 153.69/154.07 (define @t237 () (@var "A" tptp.set_a)) % 153.69/154.07 (define @t238 () (= @t237 @t236)) % 153.69/154.07 (define @t239 () (_ tptp.ord_less_eq_set_a @t237)) % 153.69/154.07 (define @t240 () (_ @t239 @t236)) % 153.69/154.07 (define @t241 () (_ tptp.ord_less_eq_set_a @t236)) % 153.69/154.07 (define @t242 () (_ @t241 @t237)) % 153.69/154.07 (define @t243 () (@var "B2" tptp.set_a)) % 153.69/154.07 (define @t244 () (@var "A2" tptp.set_a)) % 153.69/154.07 (define @t245 () (_ (_ tptp.ord_less_eq_set_a @t244) @t243)) % 153.69/154.07 (define @t246 () (_ (_ tptp.ord_less_eq_set_a @t243) @t244)) % 153.69/154.07 (define @t247 () (@list @t244 @t243)) % 153.69/154.07 (define @t248 () (@var "Z" tptp.set_a)) % 153.69/154.07 (define @t249 () (@var "Y2" tptp.set_a)) % 153.69/154.07 (define @t250 () (lambda (@list @t249 @t248) (= @t249 @t248))) % 153.69/154.07 (define @t251 () (@var "C" tptp.set_a)) % 153.69/154.07 (define @t252 () (_ tptp.ord_less_eq_set_a @t251)) % 153.69/154.07 (define @t253 () (_ @t252 @t237)) % 153.69/154.07 (define @t254 () (@list @t237)) % 153.69/154.07 (define @t255 () (@var "Z2" tptp.set_a)) % 153.69/154.07 (define @t256 () (_ @t234 @t255)) % 153.69/154.07 (define @t257 () (@var "Y" tptp.set_a)) % 153.69/154.07 (define @t258 () (_ tptp.ord_less_eq_set_a @t257)) % 153.69/154.07 (define @t259 () (_ @t258 @t255)) % 153.69/154.07 (define @t260 () (_ @t234 @t257)) % 153.69/154.07 (define @t261 () (@list @t233 @t257 @t255)) % 153.69/154.07 (define @t262 () (@list @t237 @t236)) % 153.69/154.07 (define @t263 () (_ @t239 @t251)) % 153.69/154.07 (define @t264 () (@list @t237 @t236 @t251)) % 153.69/154.07 (define @t265 () (_ @t241 @t251)) % 153.69/154.07 (define @t266 () (=> @t265 @t263)) % 153.69/154.07 (define @t267 () (= @t233 @t257)) % 153.69/154.07 (define @t268 () (_ @t258 @t233)) % 153.69/154.07 (define @t269 () (@list @t233 @t257)) % 153.69/154.07 (define @t270 () (@var "X2" tptp.set_a)) % 153.69/154.07 (define @t271 () (@var "Y3" tptp.set_a)) % 153.69/154.07 (define @t272 () (@var "F" (-> tptp.set_a tptp.set_a))) % 153.69/154.07 (define @t273 () (@var "Y4" tptp.set_a)) % 153.69/154.07 (define @t274 () (@var "X3" tptp.set_a)) % 153.69/154.07 (define @t275 () (forall (@list @t274 @t273) (=> (_ (_ tptp.ord_less_eq_set_a @t274) @t273) (_ (_ tptp.ord_less_eq_set_a (_ @t272 @t274)) (_ @t272 @t273))))) % 153.69/154.07 (define @t276 () (=> @t275 (_ (_ tptp.ord_less_eq_set_a (_ @t272 @t237)) @t251))) % 153.69/154.07 (define @t277 () (_ @t272 @t236)) % 153.69/154.07 (define @t278 () (@list @t237 @t236 @t272 @t251)) % 153.69/154.07 (define @t279 () (=> @t265 (=> @t275 (_ @t239 (_ @t272 @t251))))) % 153.69/154.07 (define @t280 () (@list @t237 @t272 @t236 @t251)) % 153.69/154.07 (define @t281 () (_ (_ tptp.ord_less_eq_set_a @t98) @t106)) % 153.69/154.07 (define @t282 () (@var "A5" tptp.set_a)) % 153.69/154.07 (define @t283 () (@var "B5" tptp.set_a)) % 153.69/154.07 (define @t284 () (@list @t282 @t283)) % 153.69/154.07 (define @t285 () (@var "C4" tptp.set_a)) % 153.69/154.07 (define @t286 () (_ @t213 @t285)) % 153.69/154.07 (define @t287 () (_ @t231 @t285)) % 153.69/154.07 (define @t288 () (@list @t100 @t212 @t285)) % 153.69/154.07 (define @t289 () (_ tptp.member_a @t26)) % 153.69/154.07 (define @t290 () (_ tptp.member_a @t2)) % 153.69/154.07 (define @t291 () (@var "B4" tptp.a)) % 153.69/154.07 (define @t292 () (_ @t218 @t291)) % 153.69/154.07 (define @t293 () (@var "A3" tptp.a)) % 153.69/154.07 (define @t294 () (_ @t218 @t293)) % 153.69/154.07 (define @t295 () (@list @t218 @t293 @t291)) % 153.69/154.07 (define @t296 () (_ tptp.finite_finite_a @t100)) % 153.69/154.07 (define @t297 () (@var "Xa" tptp.a)) % 153.69/154.07 (define @t298 () (= @t89 @t297)) % 153.69/154.07 (define @t299 () (_ (_ tptp.member_a @t297) @t100)) % 153.69/154.07 (define @t300 () (@list @t297)) % 153.69/154.07 (define @t301 () (_ @t99 @t100)) % 153.69/154.07 (define @t302 () (@list @t100 @t11)) % 153.69/154.07 (define @t303 () (_ (_ tptp.inf_inf_set_a @t100) @t212)) % 153.69/154.07 (define @t304 () (_ @t191 @t303)) % 153.69/154.07 (define @t305 () (_ @t188 @t303)) % 153.69/154.07 (define @t306 () (_ tptp.ord_less_eq_set_a @t285)) % 153.69/154.07 (define @t307 () (_ tptp.inf_inf_set_a @t233)) % 153.69/154.07 (define @t308 () (_ @t307 @t257)) % 153.69/154.07 (define @t309 () (_ tptp.inf_inf_set_a @t237)) % 153.69/154.07 (define @t310 () (_ @t309 @t236)) % 153.69/154.07 (define @t311 () (_ tptp.sup_sup_set_a @t237)) % 153.69/154.07 (define @t312 () (_ @t311 @t236)) % 153.69/154.07 (define @t313 () (_ tptp.sup_sup_set_a @t233)) % 153.69/154.07 (define @t314 () (_ @t313 @t257)) % 153.69/154.07 (define @t315 () (@var "P" Bool)) % 153.69/154.07 (define @t316 () (_ (_ (_ @t138 tptp.a2) tptp.b) tptp.c)) % 153.69/154.07 (define @t317 () (_ (_ tptp.less_eq @t316) (_ (_ (_ @t144 tptp.a2) tptp.b) tptp.c))) % 153.69/154.07 (define @t318 () (_ (_ tptp.inf (_ (_ (_ @t154 tptp.b) tptp.c) tptp.a2)) (_ (_ (_ @t156 tptp.a2) tptp.b) tptp.c))) % 153.69/154.07 (define @t319 () (not (= @t318 @t316))) % 153.69/154.07 (define @t320 () (@var "C3" tptp.a)) % 153.69/154.07 (define @t321 () (@var "F2" (-> tptp.a tptp.a tptp.a))) % 153.69/154.07 (define @t322 () (_ @t321 @t19)) % 153.69/154.07 (define @t323 () (lambda (@list @t321) (forall (@list @t19 @t18 @t320) (= (_ (_ @t321 (_ @t322 @t18)) @t320) (_ @t322 (_ (_ @t321 @t18) @t320)))))) % 153.69/154.07 (define @t324 () (@var "T" tptp.a)) % 153.69/154.07 (define @t325 () (_ tptp.member_a @t324)) % 153.69/154.07 (define @t326 () (lambda @t284 (forall (@list @t324) (=> (_ @t325 @t282) (_ @t325 @t283))))) % 153.69/154.07 (define @t327 () (@var "Less_eq" (-> tptp.a tptp.a Bool))) % 153.69/154.07 (define @t328 () (_ tptp.if_a (_ (_ @t327 @t19) @t18))) % 153.69/154.07 (define @t329 () (@list @t327 @t19 @t18)) % 153.69/154.07 (define @t330 () (lambda @t329 (_ (_ @t328 @t19) @t18))) % 153.69/154.07 (define @t331 () (lambda @t329 (_ (_ @t328 @t18) @t19))) % 153.69/154.07 (define @t332 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))) % 153.69/154.07 (define @t333 () (@const 1 (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))) % 153.69/154.07 (define @t334 () (@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))))) % 153.69/154.07 (define @t335 () (@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))))) % 153.69/154.07 (define @t336 () (_ @t335 (_ @t334 (@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))) @t333) @t332)) % 153.69/154.07 (define @t337 () (@const 5 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a tptp.a))))) % 153.69/154.07 (define @t338 () (@const 6 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a))))) % 153.69/154.07 (define @t339 () (@const 7 (-> (@ho-elim-sort (-> tptp.a tptp.a)) tptp.a tptp.a))) % 153.69/154.07 (define @t340 () (_ @t339 (_ @t338 (_ @t337 @t336 tptp.a2) tptp.b) tptp.c)) % 153.69/154.07 (define @t341 () (_ @t335 (_ @t334 (@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))) @t333) @t332)) % 153.69/154.07 (define @t342 () (_ @t338 @t333 (_ @t339 (_ @t338 (_ @t337 @t341 tptp.b) tptp.c) tptp.a2))) % 153.69/154.07 (define @t343 () (_ @t335 (_ @t334 (@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))) @t333) @t332)) % 153.69/154.07 (define @t344 () (_ @t339 (_ @t338 (_ @t337 @t343 tptp.a2) tptp.b) tptp.c)) % 153.69/154.07 (define @t345 () (= @t344 (_ @t339 @t342 @t340))) % 153.69/154.07 (define @t346 () (_ @t339 (_ @t338 (_ @t337 @t343 @t11) @t10) @t26)) % 153.69/154.07 (define @t347 () (tptp.modula1936294176_aux_a tptp.inf tptp.sup @t10 @t26 @t11)) % 153.69/154.07 (define @t348 () (tptp.modula1936294176_aux_a tptp.inf tptp.sup @t11 @t10 @t26)) % 153.69/154.07 (define @t349 () (= @t139 @t142)) % 153.69/154.07 (define @t350 () (@list tptp.b tptp.c tptp.a2)) % 153.69/154.07 (define @t351 () (_ @t339 (_ @t338 (_ @t337 @t336 @t11) @t10) @t26)) % 153.69/154.07 (define @t352 () (_ @t339 (_ @t338 (_ @t337 @t341 @t26) @t11) @t10)) % 153.69/154.07 (define @t353 () (forall @t39 (= @t351 @t352))) % 153.69/154.07 (define @t354 () (tptp.modula17988509_aux_a tptp.inf tptp.sup @t26 @t11 @t10)) % 153.69/154.07 (define @t355 () (tptp.modula581031071_aux_a tptp.inf tptp.sup @t11 @t10 @t26)) % 153.69/154.07 (define @t356 () (_ @t339 (_ @t338 (_ @t337 @t341 tptp.c) tptp.a2) tptp.b)) % 153.69/154.07 (define @t357 () (forall @t39 (= @t352 @t351))) % 153.69/154.07 (define @t358 () (= @t356 @t340)) % 153.69/154.07 (define @t359 () (@list tptp.a2 tptp.b tptp.c)) % 153.69/154.07 (define @t360 () (= @t340 @t356)) % 153.69/154.07 (define @t361 () (_ @t335 (_ @t334 (@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))) @t333) @t332)) % 153.69/154.07 (define @t362 () (_ @t339 (_ @t338 (_ @t337 @t361 @t11) @t10) @t26)) % 153.69/154.07 (define @t363 () (_ @t335 (_ @t334 (@const 11 (@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))) @t333) @t332)) % 153.69/154.07 (define @t364 () (_ @t339 (_ @t338 (_ @t337 @t363 @t11) @t10) @t26)) % 153.69/154.07 (define @t365 () (@const 12 (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 153.69/154.07 (define @t366 () (@const 13 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 153.69/154.07 (define @t367 () (@const 14 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 153.69/154.07 (define @t368 () (tptp.modula1373251614_aux_a tptp.inf tptp.sup @t11 @t10 @t26)) % 153.69/154.07 (define @t369 () (tptp.modula17988509_aux_a tptp.inf tptp.sup @t11 @t10 @t26)) % 153.69/154.07 (define @t370 () (tptp.inf @t369 @t368)) % 153.69/154.07 (define @t371 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup @t11 @t10 @t26)) % 153.69/154.07 (define @t372 () (tptp.less_eq @t348 @t371)) % 153.69/154.07 (define @t373 () (= @t139 @t183)) % 153.69/154.07 (define @t374 () (not @t184)) % 153.69/154.07 (define @t375 () (or @t374 @t373)) % 153.69/154.07 (define @t376 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup @t10 @t26 @t11)) % 153.69/154.07 (define @t377 () (= @t145 @t150)) % 153.69/154.07 (define @t378 () (_ @t339 (_ @t338 (_ @t337 @t343 tptp.b) tptp.c) tptp.a2)) % 153.69/154.07 (define @t379 () (_ @t366 @t365 @t378)) % 153.69/154.07 (define @t380 () (_ @t367 @t379 (_ @t339 (_ @t338 (_ @t337 @t363 tptp.b) tptp.c) tptp.a2))) % 153.69/154.07 (define @t381 () (_ @t339 (_ @t338 (_ @t337 @t361 tptp.b) tptp.c) tptp.a2)) % 153.69/154.07 (define @t382 () (_ @t339 @t342 @t381)) % 153.69/154.07 (define @t383 () (= @t378 @t382)) % 153.69/154.07 (define @t384 () (not @t380)) % 153.69/154.07 (define @t385 () (or @t384 @t383)) % 153.69/154.07 (define @t386 () (_ @t339 (_ @t338 (_ @t337 @t341 @t10) @t26) @t11)) % 153.69/154.07 (define @t387 () (forall @t39 (= @t362 @t386))) % 153.69/154.07 (define @t388 () (tptp.modula17988509_aux_a tptp.inf tptp.sup @t10 @t26 @t11)) % 153.69/154.07 (define @t389 () (= @t344 @t378)) % 153.69/154.07 (define @t390 () (= @t356 @t381)) % 153.69/154.07 (define @t391 () (and @t389 @t360 @t383 @t390)) % 153.69/154.07 (assume @p1 (forall @t8 (=> @t7 (=> @t5 @t3)))) % 153.69/154.07 (assume @p2 (forall @t9 (=> @t5 (= @t7 @t3)))) % 153.69/154.07 (assume @p3 (forall @t17 (=> @t16 (=> @t14 @t12)))) % 153.69/154.07 (assume @p4 (= @t25 (lambda @t22 (and @t21 @t20)))) % 153.69/154.07 (assume @p5 (forall @t30 (=> @t16 (=> @t29 @t28)))) % 153.69/154.07 (assume @p6 (= @t25 (lambda @t35 (and @t34 (_ (_ tptp.less_eq @t32) @t31))))) % 153.69/154.07 (assume @p7 (forall @t8 (=> @t3 @t7))) % 153.69/154.07 (assume @p8 (forall @t39 (=> @t12 @t38))) % 153.69/154.07 (assume @p9 (forall @t39 (=> @t14 (=> (= @t10 @t26) @t36)))) % 153.69/154.07 (assume @p10 (forall @t40 (=> @t14 (=> @t16 @t12)))) % 153.69/154.07 (assume @p11 (= @t25 (lambda @t22 (and @t20 @t21)))) % 153.69/154.07 (assume @p12 (forall @t39 (=> @t14 @t38))) % 153.69/154.07 (assume @p13 (forall @t44 (=> @t7 (=> @t43 @t42)))) % 153.69/154.07 (assume @p14 (forall @t39 (= (_ @t50 @t26) @t48))) % 153.69/154.07 (assume @p15 (forall @t40 (= @t49 (_ @t45 @t11)))) % 153.69/154.07 (assume @p16 (forall @t30 (= (_ @t45 (_ @t47 @t26)) @t48))) % 153.69/154.07 (assume @p17 (forall @t44 (= (_ @t56 @t41) @t54))) % 153.69/154.07 (assume @p18 (forall @t8 (= @t55 (_ @t51 @t2)))) % 153.69/154.07 (assume @p19 (forall @t44 (= @t54 (_ @t51 @t57)))) % 153.69/154.07 (assume @p20 (forall @t39 (= (_ @t63 @t26) @t61))) % 153.69/154.07 (assume @p21 (forall @t40 (= @t62 (_ @t58 @t11)))) % 153.69/154.07 (assume @p22 (forall @t30 (= (_ @t58 (_ @t60 @t26)) @t61))) % 153.69/154.07 (assume @p23 (forall @t44 (= (_ (_ tptp.sup @t68) @t41) @t67))) % 153.69/154.07 (assume @p24 (forall @t8 (= @t68 (_ @t64 @t2)))) % 153.69/154.07 (assume @p25 (forall @t44 (= @t67 (_ @t64 @t69)))) % 153.69/154.07 (assume @p26 (forall @t40 (=> @t14 @t70))) % 153.69/154.07 (assume @p27 (forall @t17 (=> @t16 @t71))) % 153.69/154.07 (assume @p28 (forall @t40 (= @t14 @t70))) % 153.69/154.07 (assume @p29 (forall @t17 (= @t16 @t71))) % 153.69/154.07 (assume @p30 (forall @t39 (=> @t72 (not (=> @t14 (not @t36)))))) % 153.69/154.07 (assume @p31 (forall @t39 (=> @t14 (=> @t36 @t72)))) % 153.69/154.07 (assume @p32 (forall @t40 (_ @t73 @t11))) % 153.69/154.07 (assume @p33 (forall @t40 (_ @t73 @t10))) % 153.69/154.07 (assume @p34 (forall (@list @t11 @t26 @t10) (=> @t36 @t74))) % 153.69/154.07 (assume @p35 (forall @t75 (=> @t37 @t74))) % 153.69/154.07 (assume @p36 (forall @t40 (=> @t14 @t76))) % 153.69/154.07 (assume @p37 (forall @t40 (=> @t76 @t14))) % 153.69/154.07 (assume @p38 (forall @t40 (= @t14 @t76))) % 153.69/154.07 (assume @p39 (forall @t8 (=> @t7 @t77))) % 153.69/154.07 (assume @p40 (forall @t9 (=> @t5 (= @t55 @t1)))) % 153.69/154.07 (assume @p41 (forall @t44 (=> @t7 (=> @t42 @t78)))) % 153.69/154.07 (assume @p42 (forall @t8 (_ @t79 @t2))) % 153.69/154.07 (assume @p43 (forall @t8 (_ @t79 @t1))) % 153.69/154.07 (assume @p44 (forall @t83 (=> @t36 (=> @t82 (_ @t73 (_ @t81 @t80)))))) % 153.69/154.07 (assume @p45 (forall @t96 (=> (forall @t95 (_ @t94 @t89)) (=> (forall @t95 (_ @t94 @t87)) (=> (forall @t92 (=> @t91 (=> (_ @t90 @t86) (_ @t90 @t88)))) (= @t55 @t85)))))) % 153.69/154.07 (assume @p46 (forall (@list @t11 @t97) (= (_ @t99 @t98) (_ @t97 @t11)))) % 153.69/154.07 (assume @p47 (forall @t104 (= (_ tptp.collect_a (lambda @t103 @t102)) @t100))) % 153.69/154.07 (assume @p48 (forall @t110 (=> (forall @t109 (= @t108 @t107)) (= @t98 @t106)))) % 153.69/154.07 (assume @p49 (forall @t8 (= @t7 @t77))) % 153.69/154.07 (assume @p50 (forall @t114 (=> @t113 (not (=> @t112 (not @t111)))))) % 153.69/154.07 (assume @p51 (forall @t114 (=> @t112 (=> @t111 @t113)))) % 153.69/154.07 (assume @p52 (forall @t117 (=> @t116 @t115))) % 153.69/154.07 (assume @p53 (forall (@list @t10 @t2 @t11) (=> @t118 @t115))) % 153.69/154.07 (assume @p54 (forall @t8 (= @t7 @t119))) % 153.69/154.07 (assume @p55 (forall (@list @t11 @t10 @t2) (=> @t121 (not (=> @t116 (not @t118)))))) % 153.69/154.07 (assume @p56 (forall @t117 (=> @t116 (=> @t118 @t121)))) % 153.69/154.07 (assume @p57 (forall @t114 (=> @t112 @t122))) % 153.69/154.07 (assume @p58 (forall (@list @t2 @t10 @t11) (=> @t111 @t122))) % 153.69/154.07 (assume @p59 (forall @t17 (=> @t16 @t123))) % 153.69/154.07 (assume @p60 (forall @t40 (=> @t14 @t124))) % 153.69/154.07 (assume @p61 (forall @t17 (= @t16 @t123))) % 153.69/154.07 (assume @p62 (forall @t40 (= @t14 @t124))) % 153.69/154.07 (assume @p63 (forall @t75 (=> @t125 (not (=> @t16 (not @t28)))))) % 153.69/154.07 (assume @p64 (forall @t30 (=> @t16 (=> @t28 @t125)))) % 153.69/154.07 (assume @p65 (forall @t40 (_ @t13 @t62))) % 153.69/154.07 (assume @p66 (forall @t17 (_ @t15 @t62))) % 153.69/154.07 (assume @p67 (forall @t127 (=> @t28 @t126))) % 153.69/154.07 (assume @p68 (forall (@list @t26 @t10 @t11) (=> @t29 @t126))) % 153.69/154.07 (assume @p69 (forall (@list @t26 @t11 @t80 @t10) (=> @t28 (=> (_ (_ tptp.less_eq @t80) @t10) (_ (_ tptp.less_eq @t129) @t62))))) % 153.69/154.07 (assume @p70 (forall @t17 (=> @t16 @t130))) % 153.69/154.07 (assume @p71 (forall @t40 (=> @t130 @t16))) % 153.69/154.07 (assume @p72 (forall @t17 (= @t16 @t130))) % 153.69/154.07 (assume @p73 (forall @t9 (=> @t5 (= @t68 @t2)))) % 153.69/154.07 (assume @p74 (forall @t8 (=> @t7 @t119))) % 153.69/154.07 (assume @p75 (forall @t8 (_ @t6 @t68))) % 153.69/154.07 (assume @p76 (forall @t9 (_ @t4 @t68))) % 153.69/154.07 (assume @p77 (forall (@list @t1 @t2 @t41) (=> @t5 (=> (_ (_ tptp.less_eq @t41) @t2) (_ (_ tptp.less_eq @t65) @t2))))) % 153.69/154.07 (assume @p78 (forall @t83 (=> @t36 (=> @t82 (_ @t120 @t129))))) % 153.69/154.07 (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)))))) % 153.69/154.07 (assume @p80 (forall @t44 (=> (forall @t92 (= (_ @t134 (_ (_ tptp.sup @t87) @t86)) (_ (_ tptp.sup (_ @t134 @t87)) (_ @t134 @t86)))) (= @t133 @t132)))) % 153.69/154.07 (assume @p81 (forall @t44 (=> (forall @t92 (= (_ @t137 (_ (_ tptp.inf @t87) @t86)) (_ (_ tptp.inf (_ @t137 @t87)) (_ @t137 @t86)))) (= @t136 @t135)))) % 153.69/154.07 (assume @p82 (forall @t39 (= (_ @t60 @t139) (_ @t60 @t46)))) % 153.69/154.07 (assume @p83 (forall @t39 (= (_ @t47 @t139) (_ @t141 @t140)))) % 153.69/154.07 (assume @p84 (forall @t30 (= (_ @t58 @t139) (_ @t58 @t140)))) % 153.69/154.07 (assume @p85 (forall @t30 (= (_ @t45 @t139) (_ (_ tptp.sup @t46) @t49)))) % 153.69/154.07 (assume @p86 (forall @t127 (= (_ @t81 @t139) (_ (_ tptp.sup @t140) @t46)))) % 153.69/154.07 (assume @p87 (forall @t39 (= @t139 (_ (_ tptp.sup (_ @t141 @t46)) @t140)))) % 153.69/154.07 (assume @p88 @t143) % 153.69/154.07 (assume @p89 (forall @t127 (= (_ (_ (_ @t138 @t26) @t11) @t10) @t139))) % 153.69/154.07 (assume @p90 (forall @t39 (= @t146 (_ @t47 @t59)))) % 153.69/154.07 (assume @p91 (forall @t30 (= @t148 (_ @t45 @t147)))) % 153.69/154.07 (assume @p92 (forall @t127 (= @t149 (_ @t81 @t62)))) % 153.69/154.07 (assume @p93 (forall @t39 (= @t145 (_ (_ tptp.inf (_ (_ tptp.inf @t62) @t59)) @t147)))) % 153.69/154.07 (assume @p94 @t151) % 153.69/154.07 (assume @p95 (forall @t127 (= (_ (_ (_ @t144 @t26) @t11) @t10) @t145))) % 153.69/154.07 (assume @p96 (forall @t44 (_ (_ tptp.less_eq @t135) @t136))) % 153.69/154.07 (assume @p97 (forall @t44 (_ (_ tptp.less_eq @t133) @t132))) % 153.69/154.07 (assume @p98 (forall @t44 (=> @t7 (= @t133 (_ @t51 @t69))))) % 153.69/154.07 (assume @p99 (forall @t8 (= (_ (_ (_ tptp.modula1727524044comp_a tptp.less_eq) @t2) @t1) (and (not @t7) (not @t5))))) % 153.69/154.07 (assume @p100 (forall @t152 (_ @t13 @t11))) % 153.69/154.07 (assume @p101 (forall @t153 (_ @t6 @t2))) % 153.69/154.07 (assume @p102 (forall @t152 (= (_ @t47 @t11) @t11))) % 153.69/154.07 (assume @p103 (forall @t40 (= (_ @t47 @t49) @t49))) % 153.69/154.07 (assume @p104 (forall @t40 (= (_ @t50 @t10) @t49))) % 153.69/154.07 (assume @p105 (forall @t153 (= (_ @t53 @t2) @t2))) % 153.69/154.07 (assume @p106 (forall @t8 (= (_ @t53 @t55) @t55))) % 153.69/154.07 (assume @p107 (forall @t8 (= (_ @t56 @t1) @t55))) % 153.69/154.07 (assume @p108 (forall @t152 (= (_ @t60 @t11) @t11))) % 153.69/154.07 (assume @p109 (forall @t40 (= (_ @t60 @t62) @t62))) % 153.69/154.07 (assume @p110 (forall @t40 (= (_ @t63 @t10) @t62))) % 153.69/154.07 (assume @p111 (forall @t153 (= (_ @t66 @t2) @t2))) % 153.69/154.07 (assume @p112 (forall @t8 (= (_ @t66 @t68) @t68))) % 153.69/154.07 (assume @p113 @t159) % 153.69/154.07 (assume @p114 (forall @t168 (=> @t167 (=> @t166 (=> (forall @t109 (=> @t108 (=> (forall @t163 (=> @t162 (_ (_ tptp.less_eq @t161) @t89))) @t107))) (_ @t105 @t160)))))) % 153.69/154.07 (assume @p115 (forall @t169 (=> @t167 (=> @t166 (= @t160 @t2))))) % 153.69/154.07 (assume @p116 (forall @t40 (and (=> @t14 (= @t170 @t10)) (=> @t171 (= @t170 @t11))))) % 153.69/154.07 (assume @p117 (forall @t40 (and (=> @t14 (= @t172 @t11)) (=> @t171 (= @t172 @t10))))) % 153.69/154.07 (assume @p118 (forall @t39 (= @t173 (_ (_ tptp.sup @t146) @t139)))) % 153.69/154.07 (assume @p119 (forall @t39 (= @t157 (_ (_ tptp.sup @t149) @t139)))) % 153.69/154.07 (assume @p120 (forall @t39 (= @t72 (and @t14 @t36)))) % 153.69/154.07 (assume @p121 (forall @t44 (= @t78 (and @t7 @t42)))) % 153.69/154.07 (assume @p122 (forall @t44 (= (_ (_ tptp.less_eq @t68) @t41) (and @t42 @t43)))) % 153.69/154.07 (assume @p123 (forall @t75 (= @t125 (and @t16 @t28)))) % 153.69/154.07 (assume @p124 (forall @t8 (= (_ @t53 @t68) @t2))) % 153.69/154.07 (assume @p125 (forall @t8 (= (_ @t66 @t55) @t2))) % 153.69/154.07 (assume @p126 @t177) % 153.69/154.07 (assume @p127 (forall (@list @t97) (=> @t181 (_ @t97 @t178)))) % 153.69/154.07 (assume @p128 (forall (@list @t97 @t41) (=> @t181 (=> (_ @t97 @t41) (_ (_ tptp.less_eq @t178) @t41))))) % 153.69/154.07 (assume @p129 (forall @t168 (=> @t167 (=> @t182 (=> (forall @t109 (=> @t108 (=> (forall @t163 (=> @t162 (_ @t90 @t161))) @t107))) (_ @t105 @t178)))))) % 153.69/154.07 (assume @p130 (forall @t169 (=> @t167 (=> @t182 (= @t178 @t2))))) % 153.69/154.07 (assume @p131 (forall @t39 (= @t175 (_ (_ tptp.sup @t148) @t139)))) % 153.69/154.07 (assume @p132 @t186) % 153.69/154.07 (assume @p133 (= tptp.modula17988509_aux_a tptp.modula17988509_aux_a)) % 153.69/154.07 (assume @p134 (= tptp.modula581031071_aux_a tptp.modula581031071_aux_a)) % 153.69/154.07 (assume @p135 (= tptp.modula1936294176_aux_a tptp.modula1936294176_aux_a)) % 153.69/154.07 (assume @p136 (= tptp.modula1144073633_aux_a tptp.modula1144073633_aux_a)) % 153.69/154.07 (assume @p137 (_ tptp.finite40241356em_a_a tptp.sup)) % 153.69/154.07 (assume @p138 (_ tptp.finite40241356em_a_a tptp.inf)) % 153.69/154.07 (assume @p139 (_ tptp.semigroup_a tptp.sup)) % 153.69/154.07 (assume @p140 (_ tptp.semigroup_a tptp.inf)) % 153.69/154.07 (assume @p141 (_ tptp.semilattice_a tptp.sup)) % 153.69/154.07 (assume @p142 (_ tptp.semilattice_a tptp.inf)) % 153.69/154.07 (assume @p143 (_ tptp.abel_semigroup_a tptp.sup)) % 153.69/154.07 (assume @p144 (_ tptp.abel_semigroup_a tptp.inf)) % 153.69/154.07 (assume @p145 (_ tptp.lattic1885654924_set_a tptp.sup)) % 153.69/154.07 (assume @p146 (_ tptp.lattic1885654924_set_a tptp.inf)) % 153.69/154.07 (assume @p147 (forall @t104 (= @t189 (exists (@list @t187) (forall @t103 (=> @t102 (_ @t33 @t187))))))) % 153.69/154.07 (assume @p148 (forall @t104 (= @t192 (exists (@list @t190) (forall @t103 (=> @t102 (_ (_ tptp.less_eq @t190) @t31))))))) % 153.69/154.07 (assume @p149 (forall (@list @t100 @t193) (=> (forall @t109 (=> @t195 (_ (_ tptp.less_eq @t193) @t89))) @t192))) % 153.69/154.07 (assume @p150 (forall (@list @t100 @t196) (=> (forall @t109 (=> @t195 (_ @t90 @t196))) @t189))) % 153.69/154.07 (assume @p151 (= tptp.modula1727524044comp_a tptp.modula1727524044comp_a)) % 153.69/154.07 (assume @p152 (= tptp.modula1373251614_aux_a tptp.modula1373251614_aux_a)) % 153.69/154.07 (assume @p153 (forall @t199 (=> @t198 @t197))) % 153.69/154.07 (assume @p154 (= tptp.lattic1885654924_set_a tptp.semilattice_a)) % 153.69/154.07 (assume @p155 (forall @t199 (=> @t201 @t200))) % 153.69/154.07 (assume @p156 (forall (@list @t84 @t10 @t11 @t26) (=> @t198 (= (_ @t202 (_ @t203 @t26)) @t204)))) % 153.69/154.07 (assume @p157 (forall @t206 (=> @t198 (= @t205 (_ @t202 @t11))))) % 153.69/154.07 (assume @p158 (forall @t199 (=> (forall (@list @t209 @t208 @t207) (= (_ (_ @t84 (_ @t210 @t208)) @t207) (_ @t210 (_ (_ @t84 @t208) @t207)))) @t197))) % 153.69/154.07 (assume @p159 (forall (@list @t84 @t11 @t10 @t26) (=> @t197 (= (_ @t211 @t26) @t204)))) % 153.69/154.07 (assume @p160 (forall @t199 (=> @t200 @t201))) % 153.69/154.07 (assume @p161 (forall @t199 (=> @t201 @t198))) % 153.69/154.07 (assume @p162 (forall @t216 (=> @t215 (=> @t214 @t189)))) % 153.69/154.07 (assume @p163 (forall @t216 (=> @t217 (=> @t214 @t192)))) % 153.69/154.07 (assume @p164 (forall @t222 (= @t221 (forall @t35 (=> @t34 (_ (_ tptp.ord_less_eq_set_a @t220) @t219)))))) % 153.69/154.07 (assume @p165 (forall @t222 (=> (forall @t95 (=> @t91 (_ (_ tptp.ord_less_eq_set_a @t224) @t223))) @t221))) % 153.69/154.07 (assume @p166 (forall @t227 (=> @t221 (=> @t7 (_ (_ tptp.ord_less_eq_set_a @t226) @t225))))) % 153.69/154.07 (assume @p167 (forall @t227 (=> @t228 (=> @t7 (_ (_ tptp.ord_less_eq_set_a @t225) @t226))))) % 153.69/154.07 (assume @p168 (forall @t222 (=> (forall @t95 (=> @t91 (_ (_ tptp.ord_less_eq_set_a @t223) @t224))) @t228))) % 153.69/154.07 (assume @p169 (forall @t222 (= @t228 (forall @t35 (=> @t34 (_ (_ tptp.ord_less_eq_set_a @t219) @t220)))))) % 153.69/154.07 (assume @p170 (forall (@list @t84 @t11) (=> @t201 (= (_ @t203 @t11) @t11)))) % 153.69/154.07 (assume @p171 (forall @t206 (=> @t201 (= (_ @t203 @t205) @t205)))) % 153.69/154.07 (assume @p172 (forall @t206 (=> @t201 (= (_ @t211 @t10) @t205)))) % 153.69/154.07 (assume @p173 (forall @t229 (=> (forall @t109 (=> @t195 (_ @t194 @t212))) @t214))) % 153.69/154.07 (assume @p174 (forall @t229 (=> @t214 (=> @t232 @t230)))) % 153.69/154.07 (assume @p175 (forall @t235 (_ @t234 @t233))) % 153.69/154.07 (assume @p176 (= tptp.antimono_a_set_a tptp.antimono_a_set_a)) % 153.69/154.07 (assume @p177 (= tptp.mono_a_set_a tptp.mono_a_set_a)) % 153.69/154.07 (assume @p178 (forall (@list @t236 @t237) (=> @t242 (=> @t240 @t238)))) % 153.69/154.07 (assume @p179 (= @t250 (lambda @t247 (and @t246 @t245)))) % 153.69/154.07 (assume @p180 (forall (@list @t236 @t237 @t251) (=> @t242 (=> (_ @t252 @t236) @t253)))) % 153.69/154.07 (assume @p181 (forall @t254 (_ @t239 @t237))) % 153.69/154.07 (assume @p182 (forall @t261 (=> @t260 (=> @t259 @t256)))) % 153.69/154.07 (assume @p183 (forall @t262 (=> @t240 (=> @t242 @t238)))) % 153.69/154.07 (assume @p184 (forall @t264 (=> @t240 (=> (= @t236 @t251) @t263)))) % 153.69/154.07 (assume @p185 (forall @t264 (=> @t238 @t266))) % 153.69/154.07 (assume @p186 (= @t250 (lambda @t247 (and @t245 @t246)))) % 153.69/154.07 (assume @p187 (forall (@list @t257 @t233) (=> @t268 (= @t260 @t267)))) % 153.69/154.07 (assume @p188 (forall @t264 (=> @t240 @t266))) % 153.69/154.07 (assume @p189 (forall @t269 (=> @t267 @t260))) % 153.69/154.07 (assume @p190 (forall @t269 (=> @t260 (=> @t268 @t267)))) % 153.69/154.07 (assume @p191 (= @t250 (lambda (@list @t270 @t271) (and (_ (_ tptp.ord_less_eq_set_a @t270) @t271) (_ (_ tptp.ord_less_eq_set_a @t271) @t270))))) % 153.69/154.07 (assume @p192 (forall @t278 (=> @t240 (=> (= @t277 @t251) @t276)))) % 153.69/154.07 (assume @p193 (forall @t280 (=> (= @t237 @t277) @t279))) % 153.69/154.07 (assume @p194 (forall @t278 (=> @t240 (=> (_ (_ tptp.ord_less_eq_set_a @t277) @t251) @t276)))) % 153.69/154.07 (assume @p195 (forall @t280 (=> (_ @t239 @t277) @t279))) % 153.69/154.07 (assume @p196 (forall @t110 (= @t281 (forall @t103 (=> (_ @t97 @t31) (_ @t105 @t31)))))) % 153.69/154.07 (assume @p197 (= @t250 (lambda @t284 (and (_ (_ tptp.ord_less_eq_set_a @t282) @t283) (_ (_ tptp.ord_less_eq_set_a @t283) @t282))))) % 153.69/154.07 (assume @p198 (forall @t288 (=> @t214 (=> @t287 @t286)))) % 153.69/154.07 (assume @p199 (forall @t110 (=> (forall @t109 (=> @t108 @t107)) @t281))) % 153.69/154.07 (assume @p200 (forall @t104 (_ @t213 @t100))) % 153.69/154.07 (assume @p201 (forall @t229 (=> @t230 @t232))) % 153.69/154.07 (assume @p202 (forall @t229 (=> @t230 @t214))) % 153.69/154.07 (assume @p203 (= tptp.ord_less_eq_set_a (lambda @t284 (forall @t103 (=> (_ @t101 @t282) (_ @t101 @t283)))))) % 153.69/154.07 (assume @p204 (forall @t229 (=> @t230 (not (=> @t214 (not @t232)))))) % 153.69/154.07 (assume @p205 (forall (@list @t100 @t212 @t26) (=> @t214 (=> (_ @t289 @t100) (_ @t289 @t212))))) % 153.69/154.07 (assume @p206 (forall (@list @t100 @t212 @t2) (=> @t214 (=> (_ @t290 @t100) (_ @t290 @t212))))) % 153.69/154.07 (assume @p207 (= tptp.least_a tptp.least_a)) % 153.69/154.07 (assume @p208 (= tptp.greatest_a tptp.greatest_a)) % 153.69/154.07 (assume @p209 (= tptp.min_a tptp.min_a)) % 153.69/154.07 (assume @p210 (= tptp.max_a tptp.max_a)) % 153.69/154.07 (assume @p211 (forall @t295 (=> @t228 (_ (_ tptp.ord_less_eq_set_a (_ @t218 (_ (_ tptp.inf @t293) @t291))) (_ (_ tptp.inf_inf_set_a @t294) @t292))))) % 153.69/154.07 (assume @p212 (forall @t295 (=> @t228 (_ (_ tptp.ord_less_eq_set_a (_ (_ tptp.sup_sup_set_a @t294) @t292)) (_ @t218 (_ (_ tptp.sup @t293) @t291)))))) % 153.69/154.07 (assume @p213 (forall @t104 (=> @t296 @t189))) % 153.69/154.07 (assume @p214 (forall @t302 (=> @t296 (=> @t301 (exists @t109 (and @t195 (_ @t90 @t11) (forall @t300 (=> @t299 (=> (_ (_ tptp.less_eq @t297) @t89) @t298))))))))) % 153.69/154.07 (assume @p215 (forall @t302 (=> @t296 (=> @t301 (exists @t109 (and @t195 (_ @t13 @t89) (forall @t300 (=> @t299 (=> (_ @t90 @t297) @t298))))))))) % 153.69/154.07 (assume @p216 (forall @t216 (=> @t217 @t304))) % 153.69/154.07 (assume @p217 (forall @t229 (=> @t192 @t304))) % 153.69/154.07 (assume @p218 (forall @t216 (=> @t215 @t305))) % 153.69/154.07 (assume @p219 (forall @t229 (=> @t189 @t305))) % 153.69/154.07 (assume @p220 (forall @t104 (=> @t296 @t192))) % 153.69/154.07 (assume @p221 (forall @t288 (= (_ (_ tptp.ord_less_eq_set_a (_ (_ tptp.sup_sup_set_a @t100) @t212)) @t285) (and @t286 @t287)))) % 153.69/154.07 (assume @p222 (forall (@list @t285 @t100 @t212) (= (_ @t306 @t303) (and (_ @t306 @t100) (_ @t306 @t212))))) % 153.69/154.07 (assume @p223 (forall @t269 (= (_ (_ tptp.inf_inf_set_a @t308) @t257) @t308))) % 153.69/154.07 (assume @p224 (forall @t262 (= (_ (_ tptp.inf_inf_set_a @t310) @t236) @t310))) % 153.69/154.07 (assume @p225 (forall @t269 (= (_ @t307 @t308) @t308))) % 153.69/154.07 (assume @p226 (forall @t262 (= (_ @t309 @t310) @t310))) % 153.69/154.07 (assume @p227 (forall @t235 (= (_ @t307 @t233) @t233))) % 153.69/154.07 (assume @p228 (forall @t254 (= (_ @t309 @t237) @t237))) % 153.69/154.07 (assume @p229 (forall @t262 (= (_ (_ tptp.sup_sup_set_a @t312) @t236) @t312))) % 153.69/154.07 (assume @p230 (forall @t269 (= (_ @t313 @t314) @t314))) % 153.69/154.07 (assume @p231 (forall @t262 (= (_ @t311 @t312) @t312))) % 153.69/154.07 (assume @p232 (forall @t235 (= (_ @t313 @t233) @t233))) % 153.69/154.07 (assume @p233 (forall @t254 (= (_ @t311 @t237) @t237))) % 153.69/154.07 (assume @p234 (forall @t261 (= (_ @t234 (_ (_ tptp.inf_inf_set_a @t257) @t255)) (and @t260 @t256)))) % 153.69/154.07 (assume @p235 (forall @t264 (= (_ @t239 (_ (_ tptp.inf_inf_set_a @t236) @t251)) (and @t240 @t263)))) % 153.69/154.07 (assume @p236 (forall @t261 (= (_ (_ tptp.ord_less_eq_set_a @t314) @t255) (and @t256 @t259)))) % 153.69/154.07 (assume @p237 (forall (@list @t236 @t251 @t237) (= (_ (_ tptp.ord_less_eq_set_a (_ (_ tptp.sup_sup_set_a @t236) @t251)) @t237) (and @t242 @t253)))) % 153.69/154.07 (assume @p238 (forall @t269 (= (_ @t313 @t308) @t233))) % 153.69/154.07 (assume @p239 (forall @t269 (= (_ @t307 @t314) @t233))) % 153.69/154.07 (assume @p240 (forall (@list @t315) (or (= @t315 true) (= @t315 false)))) % 153.69/154.07 (assume @p241 (forall @t8 (= (_ (_ (_ tptp.if_a false) @t2) @t1) @t1))) % 153.69/154.07 (assume @p242 (forall @t8 (= (_ (_ (_ tptp.if_a true) @t2) @t1) @t2))) % 153.69/154.07 (assume @p243 @t317) % 153.69/154.07 (assume @p244 @t319) % 153.69/154.07 (assume @p245 true) % 153.69/154.07 (step @p246 (= tptp.semigroup_a @t323) :rule refl :args (@t323)) % 153.69/154.07 (step @p247 (= tptp.ord_less_eq_set_a @t326) :rule refl :args (@t326)) % 153.69/154.07 (step @p248 (= tptp.min_a @t330) :rule refl :args (@t330)) % 153.69/154.07 (step @p249 (= tptp.max_a @t331) :rule refl :args (@t331)) % 153.69/154.07 ; WARNING: add trust step for TRUST % 153.69/154.07 ; trust TRUST PREPROCESS_HO_ELIM % 153.69/154.07 (step @p250 :rule trust :premises () :args ((= (not (= @t316 @t318)) (not @t345)))) % 153.69/154.07 (step @p251 :rule eq-symm :args (@t318 @t316)) % 153.69/154.07 (step @p252 :rule cong :premises (@p251) :args (@t319)) % 153.69/154.07 (step @p253 :rule trans :premises (@p252 @p250)) % 153.69/154.07 (step @p254 :rule eq_resolve :premises (@p244 @p253)) % 153.69/154.07 ; trust TRUST PREPROCESS_HO_ELIM % 153.69/154.07 (step @p255 :rule trust :premises () :args ((= (forall @t75 (= @t348 @t347)) (forall @t75 (= @t346 (_ @t339 (_ @t338 (_ @t337 @t343 @t10) @t26) @t11)))))) % 153.69/154.07 (step @p256 :rule refl :args (@t347)) % 153.69/154.07 (step @p257 :rule refl :args (@t142)) % 153.69/154.07 (step @p258 :rule cong :premises (@p257 @p256) :args ((= @t142 @t347))) % 153.69/154.07 (step @p259 :rule symm :premises (@p258)) % 153.69/154.07 (step @p260 :rule eq_resolve :premises (@p257 @p259)) % 153.69/154.07 (step @p261 :rule refl :args (@t348)) % 153.69/154.07 (step @p262 :rule refl :args (@t139)) % 153.69/154.07 (step @p263 :rule cong :premises (@p262 @p261) :args ((= @t139 @t348))) % 153.69/154.07 (step @p264 :rule symm :premises (@p263)) % 153.69/154.07 (step @p265 :rule eq_resolve :premises (@p262 @p264)) % 153.69/154.07 (step @p266 :rule cong :premises (@p265 @p260) :args (@t349)) % 153.69/154.07 (step @p267 :rule cong :premises (@p266) :args ((forall @t75 @t349))) % 153.69/154.07 (step @p268 :rule eq-symm :args (@t142 @t139)) % 153.69/154.07 (step @p269 :rule cong :premises (@p268) :args (@t143)) % 153.69/154.07 (step @p270 :rule trans :premises (@p269 @p267)) % 153.69/154.07 (step @p271 :rule trans :premises (@p270 @p255)) % 153.69/154.07 (step @p272 :rule eq_resolve :premises (@p88 @p271)) % 153.69/154.07 (step @p273 :rule instantiate :premises (@p272) :args (@t350)) % 153.69/154.07 (step @p274 :rule eq-symm :args (@t351 @t352)) % 153.69/154.07 (step @p275 :rule cong :premises (@p274) :args (@t353)) % 153.69/154.07 ; trust TRUST PREPROCESS_HO_ELIM % 153.69/154.07 (step @p276 :rule trust :premises () :args ((= (forall @t39 (= @t355 @t354)) @t353))) % 153.69/154.07 (step @p277 :rule refl :args (@t354)) % 153.69/154.07 (step @p278 :rule refl :args (@t155)) % 153.69/154.07 (step @p279 :rule cong :premises (@p278 @p277) :args ((= @t155 @t354))) % 153.69/154.07 (step @p280 :rule symm :premises (@p279)) % 153.69/154.07 (step @p281 :rule eq_resolve :premises (@p278 @p280)) % 153.69/154.07 (step @p282 :rule refl :args (@t355)) % 153.69/154.07 (step @p283 :rule refl :args (@t157)) % 153.69/154.07 (step @p284 :rule cong :premises (@p283 @p282) :args ((= @t157 @t355))) % 153.69/154.07 (step @p285 :rule symm :premises (@p284)) % 153.69/154.07 (step @p286 :rule eq_resolve :premises (@p283 @p285)) % 153.69/154.07 (step @p287 :rule cong :premises (@p286 @p281) :args (@t158)) % 153.69/154.07 (step @p288 :rule cong :premises (@p287) :args (@t159)) % 153.69/154.07 (step @p289 :rule trans :premises (@p288 @p276 @p275)) % 153.69/154.07 (step @p290 :rule eq_resolve :premises (@p113 @p289)) % 153.69/154.07 (step @p291 :rule eq-symm :args (@t356 @t340)) % 153.69/154.07 (step @p292 :rule refl :args (@t357)) % 153.69/154.07 (step @p293 :rule cong :premises (@p292 @p291) :args ((=> @t357 @t358))) % 153.69/154.07 (assume-push @p417 @t357) % 153.69/154.07 (step @p295 :rule instantiate :premises (@p290) :args (@t359)) % 153.69/154.07 (step-pop @p418 :rule scope :premises (@p295)) % 153.69/154.07 (step @p296 :rule process_scope :premises (@p418) :args (@t358)) % 153.69/154.07 (step @p298 :rule eq_resolve :premises (@p296 @p293)) % 153.69/154.07 (step @p299 :rule implies_elim :premises (@p298)) % 153.69/154.07 (step @p300 :rule chain_m_resolution :premises (@p299 @p290) :args (@t360 (@list false) (@list @t357))) % 153.69/154.07 ; trust TRUST PREPROCESS_HO_ELIM % 153.69/154.07 (step @p301 :rule trust :premises () :args ((= (forall @t39 (or (not @t372) (= @t348 @t370))) (forall @t39 (or (not (_ @t367 (_ @t366 @t365 @t346) @t364)) (= @t346 (_ @t339 (_ @t338 @t333 (_ @t339 (_ @t338 (_ @t337 @t341 @t11) @t10) @t26)) @t362))))))) % 153.69/154.07 (step @p302 :rule refl :args ((tptp.inf @t173 @t175))) % 153.69/154.07 (step @p303 :rule refl :args (@t368)) % 153.69/154.07 (step @p304 :rule refl :args (@t369)) % 153.69/154.07 (step @p305 :rule cong :premises (@p304 @p303) :args (@t370)) % 153.69/154.07 (step @p306 :rule trans :premises (@p305 @p302)) % 153.69/154.07 (step @p307 :rule refl :args (tptp.inf)) % 153.69/154.07 (step @p308 :rule ho_cong :premises (@p307 @p304)) % 153.69/154.07 (step @p309 :rule ho_cong :premises (@p308 @p303)) % 153.69/154.07 (step @p310 :rule cong :premises (@p309 @p306) :args ((= (_ (_ tptp.inf @t369) @t368) @t370))) % 153.69/154.07 (step @p311 :rule symm :premises (@p310)) % 153.69/154.07 (step @p312 :rule refl :args (@t183)) % 153.69/154.07 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 153.69/154.07 (step @p314 :rule refl :args (@t175)) % 153.69/154.07 (step @p315 :rule cong :premises (@p314 @p303) :args ((= @t175 @t368))) % 153.69/154.07 (step @p316 :rule symm :premises (@p315)) % 153.69/154.07 (step @p317 :rule eq_resolve :premises (@p314 @p316)) % 153.69/154.07 (step @p318 :rule refl :args (@t173)) % 153.69/154.07 (step @p319 :rule cong :premises (@p318 @p304) :args ((= @t173 @t369))) % 153.69/154.07 (step @p320 :rule symm :premises (@p319)) % 153.69/154.07 (step @p321 :rule eq_resolve :premises (@p318 @p320)) % 153.69/154.07 (step @p322 :rule ho_cong :premises (@p307 @p321)) % 153.69/154.07 (step @p323 :rule ho_cong :premises (@p322 @p317)) % 153.69/154.07 (step @p324 :rule trans :premises (@p323 @p313)) % 153.69/154.07 (step @p325 :rule cong :premises (@p265 @p324) :args (@t373)) % 153.69/154.07 (step @p326 :rule refl :args ((tptp.less_eq @t139 @t145))) % 153.69/154.07 (step @p327 :rule refl :args (@t371)) % 153.69/154.07 (step @p328 :rule cong :premises (@p261 @p327) :args (@t372)) % 153.69/154.07 (step @p329 :rule trans :premises (@p328 @p326)) % 153.69/154.07 (step @p330 :rule refl :args (tptp.less_eq)) % 153.69/154.07 (step @p331 :rule ho_cong :premises (@p330 @p261)) % 153.69/154.07 (step @p332 :rule ho_cong :premises (@p331 @p327)) % 153.69/154.07 (step @p333 :rule cong :premises (@p332 @p329) :args ((= (_ (_ tptp.less_eq @t348) @t371) @t372))) % 153.69/154.07 (step @p334 :rule symm :premises (@p333)) % 153.69/154.07 (step @p335 :rule refl :args (@t184)) % 153.69/154.07 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 153.69/154.07 (step @p337 :rule refl :args (@t145)) % 153.69/154.07 (step @p338 :rule cong :premises (@p337 @p327) :args ((= @t145 @t371))) % 153.69/154.07 (step @p339 :rule symm :premises (@p338)) % 153.69/154.07 (step @p340 :rule eq_resolve :premises (@p337 @p339)) % 153.69/154.07 (step @p341 :rule ho_cong :premises (@p330 @p265)) % 153.69/154.07 (step @p342 :rule ho_cong :premises (@p341 @p340)) % 153.69/154.07 (step @p343 :rule trans :premises (@p342 @p336)) % 153.69/154.07 (step @p344 :rule cong :premises (@p343) :args (@t374)) % 153.69/154.07 (step @p345 :rule nary_cong :premises (@p344 @p325) :args (@t375)) % 153.69/154.07 (step @p346 :rule cong :premises (@p345) :args ((forall @t39 @t375))) % 153.69/154.07 (step @p347 :rule bool-impl-elim :args (@t184 @t373)) % 153.69/154.07 (step @p348 :rule cong :premises (@p347) :args ((forall @t39 (=> @t184 @t373)))) % 153.69/154.07 (step @p349 :rule trans :premises (@p348 @p346)) % 153.69/154.07 (step @p350 :rule eq-symm :args (@t183 @t139)) % 153.69/154.07 (step @p351 :rule refl :args (@t184)) % 153.69/154.07 (step @p352 :rule cong :premises (@p351 @p350) :args (@t185)) % 153.69/154.07 (step @p353 :rule cong :premises (@p352) :args (@t186)) % 153.69/154.07 (step @p354 :rule trans :premises (@p353 @p349)) % 153.69/154.08 (step @p355 :rule trans :premises (@p354 @p301)) % 153.69/154.08 (step @p356 :rule eq_resolve :premises (@p132 @p355)) % 153.69/154.08 (step @p357 :rule instantiate :premises (@p356) :args (@t350)) % 153.69/154.08 ; trust TRUST PREPROCESS_HO_ELIM % 153.69/154.08 (step @p358 :rule trust :premises () :args ((= @t317 (_ @t367 (_ @t366 @t365 @t344) (_ @t339 (_ @t338 (_ @t337 @t363 tptp.a2) tptp.b) tptp.c))))) % 153.69/154.08 (step @p359 :rule eq_resolve :premises (@p243 @p358)) % 153.69/154.08 (step @p360 :rule true_intro :premises (@p359)) % 153.69/154.08 ; trust TRUST PREPROCESS_HO_ELIM % 153.69/154.08 (step @p361 :rule trust :premises () :args ((= (forall @t75 (= @t371 @t376)) (forall @t75 (= @t364 (_ @t339 (_ @t338 (_ @t337 @t363 @t10) @t26) @t11)))))) % 153.69/154.08 (step @p362 :rule refl :args (@t376)) % 153.69/154.08 (step @p363 :rule refl :args (@t150)) % 153.69/154.08 (step @p364 :rule cong :premises (@p363 @p362) :args ((= @t150 @t376))) % 153.69/154.08 (step @p365 :rule symm :premises (@p364)) % 153.69/154.08 (step @p366 :rule eq_resolve :premises (@p363 @p365)) % 153.69/154.08 (step @p367 :rule cong :premises (@p340 @p366) :args (@t377)) % 153.69/154.08 (step @p368 :rule cong :premises (@p367) :args ((forall @t75 @t377))) % 153.69/154.08 (step @p369 :rule eq-symm :args (@t150 @t145)) % 153.69/154.08 (step @p370 :rule cong :premises (@p369) :args (@t151)) % 153.69/154.08 (step @p371 :rule trans :premises (@p370 @p368)) % 153.69/154.08 (step @p372 :rule trans :premises (@p371 @p361)) % 153.69/154.08 (step @p373 :rule eq_resolve :premises (@p94 @p372)) % 153.69/154.08 (step @p374 :rule instantiate :premises (@p373) :args (@t350)) % 153.69/154.08 (step @p375 :rule symm :premises (@p374)) % 153.69/154.08 (step @p376 :rule symm :premises (@p273)) % 153.69/154.08 (step @p377 :rule refl :args (@t365)) % 153.69/154.08 (step @p378 :rule cong :premises (@p377 @p376) :args (@t379)) % 153.69/154.08 (step @p379 :rule cong :premises (@p378 @p375) :args (@t380)) % 153.69/154.08 (step @p380 :rule trans :premises (@p379 @p360)) % 153.69/154.08 (step @p381 :rule true_elim :premises (@p380)) % 153.69/154.08 (step @p382 :rule cnf_or_pos :args (@t385)) % 153.69/154.08 (step @p383 :rule reordering :premises (@p382) :args ((or @t384 @t383 (not @t385)))) % 153.69/154.08 (step @p384 :rule chain_m_resolution :premises (@p383 @p381 @p357) :args (@t383 (@list false false) (@list @t380 @t385))) % 153.69/154.08 (step @p385 :rule eq-symm :args (@t362 @t386)) % 153.69/154.08 (step @p386 :rule cong :premises (@p385) :args (@t387)) % 153.69/154.08 ; trust TRUST PREPROCESS_HO_ELIM % 153.69/154.08 (step @p387 :rule trust :premises () :args ((= (forall @t39 (= @t368 @t388)) @t387))) % 153.69/154.08 (step @p388 :rule refl :args (@t388)) % 153.69/154.08 (step @p389 :rule refl :args (@t174)) % 153.69/154.08 (step @p390 :rule cong :premises (@p389 @p388) :args ((= @t174 @t388))) % 153.69/154.08 (step @p391 :rule symm :premises (@p390)) % 153.69/154.08 (step @p392 :rule eq_resolve :premises (@p389 @p391)) % 153.69/154.08 (step @p393 :rule cong :premises (@p317 @p392) :args (@t176)) % 153.69/154.08 (step @p394 :rule cong :premises (@p393) :args (@t177)) % 153.69/154.08 (step @p395 :rule trans :premises (@p394 @p387 @p386)) % 153.69/154.08 (step @p396 :rule eq_resolve :premises (@p126 @p395)) % 153.69/154.08 (step @p397 :rule instantiate :premises (@p396) :args (@t350)) % 153.69/154.08 (assume-push @p419 @t389) % 153.69/154.08 (assume-push @p420 @t360) % 153.69/154.08 (assume-push @p421 @t383) % 153.69/154.08 (assume-push @p422 @t390) % 153.69/154.08 (step @p295 :rule instantiate :premises (@p290) :args (@t359)) % 153.69/154.08 (step @p402 :rule symm :premises (@p397)) % 153.69/154.08 (step @p403 :rule trans :premises (@p402 @p295)) % 153.69/154.08 (step @p404 :rule refl :args (@t342)) % 153.69/154.08 (step @p405 :rule cong :premises (@p404 @p403) :args (@t382)) % 153.69/154.08 (step @p406 :rule trans :premises (@p273 @p384 @p405)) % 153.69/154.08 (step-pop @p423 :rule scope :premises (@p406)) % 153.69/154.08 (step-pop @p424 :rule scope :premises (@p423)) % 153.69/154.08 (step-pop @p425 :rule scope :premises (@p424)) % 153.69/154.08 (step-pop @p426 :rule scope :premises (@p425)) % 153.69/154.08 (step @p407 :rule process_scope :premises (@p426) :args (@t345)) % 153.69/154.08 (step @p412 :rule implies_elim :premises (@p407)) % 153.69/154.08 (step @p413 :rule cnf_and_neg :args (@t391)) % 153.69/154.08 (step @p414 :rule resolution :premises (@p413 @p412) :args (true @t391)) % 153.69/154.08 (step @p415 :rule reordering :premises (@p414) :args ((or @t345 (not @t389) (not @t360) (not @t383) (not @t390)))) % 153.69/154.08 (step @p416 false :rule chain_m_resolution :premises (@p415 @p397 @p384 @p300 @p273 @p254) :args (false (@list false false false false true) (@list @t390 @t383 @t360 @t389 @t345))) % 153.69/154.08 ) % 153.69/154.08 % SZS output end Proof % 153.69/154.08 % cvc5 exiting %------------------------------------------------------------------------------