%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP123^1 : 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 : n027.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 0.42s 0.93s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP123^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 04:15:06 EDT 2026 % 0.18/0.35 % CPUTime : % 0.42/0.56 %----Proving TH0 % 0.42/0.93 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.93 % SZS status Theorem % 0.42/0.93 % SZS output start Proof % 0.42/0.93 ( % 0.42/0.93 (declare-sort tptp.a 0) % 0.42/0.93 (declare-sort tptp.set_a 0) % 0.42/0.93 (declare-const tptp.lattic1885654924_set_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 0.42/0.93 (declare-const tptp.semilattice_order_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a Bool) Bool)) % 0.42/0.93 (declare-const tptp.z tptp.a) % 0.42/0.93 (declare-const tptp.x tptp.a) % 0.42/0.93 (declare-const tptp.y tptp.a) % 0.42/0.93 (declare-const tptp.modula1962211574trib_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a Bool)) % 0.42/0.93 (declare-const tptp.greatest_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 0.42/0.93 (declare-const tptp.modula1727524044comp_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool)) % 0.42/0.93 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.42/0.93 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.42/0.93 (declare-const tptp.min_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) % 0.42/0.93 (declare-const tptp.sup (-> tptp.a tptp.a tptp.a)) % 0.42/0.93 (declare-const tptp.modula1376131916tice_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a Bool)) % 0.42/0.93 (declare-const tptp.inf (-> tptp.a tptp.a tptp.a)) % 0.42/0.93 (declare-const tptp.modula397570059tice_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a Bool)) % 0.42/0.93 (declare-const tptp.less (-> tptp.a tptp.a Bool)) % 0.42/0.93 (declare-const tptp.max_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) % 0.42/0.93 (declare-const tptp.condit1001553558elow_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 0.42/0.93 (declare-const tptp.less_eq (-> tptp.a tptp.a Bool)) % 0.42/0.93 (declare-const tptp.least_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 0.42/0.93 (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)) % 0.42/0.93 (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)) % 0.42/0.93 (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)) % 0.42/0.93 (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)) % 0.42/0.93 (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)) % 0.42/0.93 (declare-const tptp.ordering_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a Bool) Bool)) % 0.42/0.93 (declare-const tptp.abel_semigroup_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 0.42/0.93 (declare-const tptp.finite40241356em_a_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 0.42/0.93 (declare-const tptp.semilattice_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 0.42/0.93 (declare-const tptp.set_gr1491433118Than_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.set_a)) % 0.42/0.93 (declare-const tptp.condit1627435690bove_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 0.42/0.93 (declare-const tptp.lattice_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a tptp.a) Bool)) % 0.42/0.93 (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))))))))))) % 0.42/0.93 (define tptp.lattic655834328_set_a () (let ((_let_1 (@var "F2" (-> tptp.a tptp.a tptp.a)))) (let ((_let_2 (@var "Less2" (-> tptp.a tptp.a Bool)))) (let ((_let_3 (@var "Less_eq2" (-> tptp.a tptp.a Bool)))) (lambda (@list _let_1 _let_3 _let_2) (and (_ (_ (_ tptp.semilattice_order_a _let_1) _let_3) _let_2) (_ tptp.lattic1885654924_set_a _let_1))))))) % 0.42/0.93 (define @t1 () (@var "Y" tptp.a)) % 0.42/0.93 (define @t2 () (@var "X" tptp.a)) % 0.42/0.93 (define @t3 () (= @t2 @t1)) % 0.42/0.93 (define @t4 () (_ tptp.less_eq @t1)) % 0.42/0.93 (define @t5 () (_ @t4 @t2)) % 0.42/0.93 (define @t6 () (_ tptp.less_eq @t2)) % 0.42/0.93 (define @t7 () (_ @t6 @t1)) % 0.42/0.93 (define @t8 () (@list @t2 @t1)) % 0.42/0.93 (define @t9 () (= @t7 @t3)) % 0.42/0.93 (define @t10 () (@list @t1 @t2)) % 0.42/0.93 (define @t11 () (@var "B" tptp.a)) % 0.42/0.93 (define @t12 () (@var "A" tptp.a)) % 0.42/0.93 (define @t13 () (= @t12 @t11)) % 0.42/0.93 (define @t14 () (_ tptp.less_eq @t12)) % 0.42/0.93 (define @t15 () (_ @t14 @t11)) % 0.42/0.93 (define @t16 () (_ tptp.less_eq @t11)) % 0.42/0.93 (define @t17 () (_ @t16 @t12)) % 0.42/0.93 (define @t18 () (@list @t11 @t12)) % 0.42/0.93 (define @t19 () (@var "B2" tptp.a)) % 0.42/0.93 (define @t20 () (@var "A2" tptp.a)) % 0.42/0.93 (define @t21 () (_ (_ tptp.less_eq @t20) @t19)) % 0.42/0.93 (define @t22 () (_ (_ tptp.less_eq @t19) @t20)) % 0.42/0.93 (define @t23 () (@list @t20 @t19)) % 0.42/0.93 (define @t24 () (@var "Z" tptp.a)) % 0.42/0.93 (define @t25 () (@var "Y2" tptp.a)) % 0.42/0.93 (define @t26 () (lambda (@list @t25 @t24) (= @t25 @t24))) % 0.42/0.93 (define @t27 () (@var "C" tptp.a)) % 0.42/0.93 (define @t28 () (_ tptp.less_eq @t27)) % 0.42/0.93 (define @t29 () (_ @t28 @t12)) % 0.42/0.93 (define @t30 () (_ @t28 @t11)) % 0.42/0.93 (define @t31 () (@list @t11 @t12 @t27)) % 0.42/0.93 (define @t32 () (@var "X2" tptp.a)) % 0.42/0.93 (define @t33 () (@var "Y3" tptp.a)) % 0.42/0.93 (define @t34 () (_ tptp.less_eq @t32)) % 0.42/0.93 (define @t35 () (_ @t14 @t27)) % 0.42/0.93 (define @t36 () (_ @t16 @t27)) % 0.42/0.93 (define @t37 () (=> @t36 @t35)) % 0.42/0.93 (define @t38 () (@list @t12 @t11 @t27)) % 0.42/0.93 (define @t39 () (= @t11 @t27)) % 0.42/0.93 (define @t40 () (@list @t12 @t11)) % 0.42/0.93 (define @t41 () (@var "Z2" tptp.a)) % 0.42/0.93 (define @t42 () (_ @t6 @t41)) % 0.42/0.93 (define @t43 () (_ @t4 @t41)) % 0.42/0.93 (define @t44 () (@list @t2 @t1 @t41)) % 0.42/0.93 (define @t45 () (_ tptp.less @t12)) % 0.42/0.93 (define @t46 () (_ @t45 @t11)) % 0.42/0.93 (define @t47 () (_ tptp.less @t11)) % 0.42/0.93 (define @t48 () (_ @t47 @t12)) % 0.42/0.93 (define @t49 () (not @t13)) % 0.42/0.93 (define @t50 () (_ tptp.less @t27)) % 0.42/0.93 (define @t51 () (_ @t50 @t12)) % 0.42/0.93 (define @t52 () (_ @t50 @t11)) % 0.42/0.93 (define @t53 () (=> @t52 @t51)) % 0.42/0.93 (define @t54 () (_ tptp.less @t1)) % 0.42/0.93 (define @t55 () (_ @t54 @t2)) % 0.42/0.93 (define @t56 () (_ tptp.less @t2)) % 0.42/0.93 (define @t57 () (_ @t56 @t1)) % 0.42/0.93 (define @t58 () (not @t3)) % 0.42/0.93 (define @t59 () (@var "P" Bool)) % 0.42/0.93 (define @t60 () (@list @t2)) % 0.42/0.93 (define @t61 () (_ @t56 @t41)) % 0.42/0.93 (define @t62 () (=> (_ @t54 @t41) @t61)) % 0.42/0.93 (define @t63 () (_ @t45 @t27)) % 0.42/0.93 (define @t64 () (_ @t47 @t27)) % 0.42/0.93 (define @t65 () (=> @t64 @t63)) % 0.42/0.93 (define @t66 () (@list @t12)) % 0.42/0.93 (define @t67 () (_ tptp.inf @t11)) % 0.42/0.93 (define @t68 () (_ @t67 @t27)) % 0.42/0.93 (define @t69 () (_ tptp.inf @t12)) % 0.42/0.93 (define @t70 () (_ @t69 @t68)) % 0.42/0.93 (define @t71 () (_ @t69 @t11)) % 0.42/0.93 (define @t72 () (_ tptp.inf @t71)) % 0.42/0.93 (define @t73 () (_ @t69 @t27)) % 0.42/0.93 (define @t74 () (_ tptp.inf @t1)) % 0.42/0.93 (define @t75 () (_ @t74 @t41)) % 0.42/0.93 (define @t76 () (_ tptp.inf @t2)) % 0.42/0.93 (define @t77 () (_ @t76 @t75)) % 0.42/0.93 (define @t78 () (_ @t76 @t1)) % 0.42/0.93 (define @t79 () (_ tptp.inf @t78)) % 0.42/0.93 (define @t80 () (_ @t76 @t41)) % 0.42/0.93 (define @t81 () (_ tptp.sup @t11)) % 0.42/0.93 (define @t82 () (_ @t81 @t27)) % 0.42/0.93 (define @t83 () (_ tptp.sup @t12)) % 0.42/0.93 (define @t84 () (_ @t83 @t82)) % 0.42/0.93 (define @t85 () (_ @t83 @t11)) % 0.42/0.93 (define @t86 () (_ tptp.sup @t85)) % 0.42/0.93 (define @t87 () (_ @t83 @t27)) % 0.42/0.93 (define @t88 () (_ tptp.sup @t1)) % 0.42/0.93 (define @t89 () (_ @t88 @t41)) % 0.42/0.93 (define @t90 () (_ tptp.sup @t2)) % 0.42/0.93 (define @t91 () (_ @t90 @t89)) % 0.42/0.93 (define @t92 () (_ @t90 @t1)) % 0.42/0.93 (define @t93 () (_ @t90 @t41)) % 0.42/0.93 (define @t94 () (not @t57)) % 0.42/0.93 (define @t95 () (@var "P" (-> tptp.a Bool))) % 0.42/0.93 (define @t96 () (_ tptp.collect_a @t95)) % 0.42/0.93 (define @t97 () (@var "A3" tptp.set_a)) % 0.42/0.93 (define @t98 () (_ (_ tptp.member_a @t32) @t97)) % 0.42/0.93 (define @t99 () (@list @t32)) % 0.42/0.93 (define @t100 () (@list @t97)) % 0.42/0.93 (define @t101 () (@var "Q" (-> tptp.a Bool))) % 0.42/0.93 (define @t102 () (@var "X3" tptp.a)) % 0.42/0.93 (define @t103 () (_ @t101 @t102)) % 0.42/0.93 (define @t104 () (_ @t95 @t102)) % 0.42/0.93 (define @t105 () (@list @t102)) % 0.42/0.93 (define @t106 () (or @t48 @t13)) % 0.42/0.93 (define @t107 () (= @t17 @t106)) % 0.42/0.93 (define @t108 () (forall @t18 @t107)) % 0.42/0.93 (define @t109 () (or @t57 @t3)) % 0.42/0.93 (define @t110 () (not @t5)) % 0.42/0.93 (define @t111 () (= @t71 @t12)) % 0.42/0.93 (define @t112 () (= @t71 @t11)) % 0.42/0.93 (define @t113 () (_ @t14 @t68)) % 0.42/0.93 (define @t114 () (_ tptp.less_eq @t71)) % 0.42/0.93 (define @t115 () (_ @t114 @t27)) % 0.42/0.93 (define @t116 () (@list @t12 @t27 @t11)) % 0.42/0.93 (define @t117 () (@list @t11 @t27 @t12)) % 0.42/0.93 (define @t118 () (= @t12 @t71)) % 0.42/0.93 (define @t119 () (= @t78 @t2)) % 0.42/0.93 (define @t120 () (_ @t6 @t75)) % 0.42/0.93 (define @t121 () (_ tptp.less_eq @t78)) % 0.42/0.93 (define @t122 () (@var "D" tptp.a)) % 0.42/0.93 (define @t123 () (_ tptp.inf @t27)) % 0.42/0.93 (define @t124 () (_ @t16 @t122)) % 0.42/0.93 (define @t125 () (@list @t12 @t27 @t11 @t122)) % 0.42/0.93 (define @t126 () (@var "F" (-> tptp.a tptp.a tptp.a))) % 0.42/0.93 (define @t127 () (_ (_ @t126 @t2) @t1)) % 0.42/0.93 (define @t128 () (@var "Z3" tptp.a)) % 0.42/0.93 (define @t129 () (@var "Y4" tptp.a)) % 0.42/0.93 (define @t130 () (_ (_ @t126 @t129) @t128)) % 0.42/0.93 (define @t131 () (_ tptp.less_eq @t102)) % 0.42/0.93 (define @t132 () (@list @t102 @t129 @t128)) % 0.42/0.93 (define @t133 () (_ (_ @t126 @t102) @t129)) % 0.42/0.93 (define @t134 () (_ tptp.less_eq @t133)) % 0.42/0.93 (define @t135 () (@list @t102 @t129)) % 0.42/0.93 (define @t136 () (@list @t126 @t2 @t1)) % 0.42/0.93 (define @t137 () (_ @t6 @t11)) % 0.42/0.93 (define @t138 () (_ @t6 @t12)) % 0.42/0.93 (define @t139 () (_ @t6 @t71)) % 0.42/0.93 (define @t140 () (@list @t2 @t12 @t11)) % 0.42/0.93 (define @t141 () (_ @t114 @t2)) % 0.42/0.93 (define @t142 () (_ @t14 @t2)) % 0.42/0.93 (define @t143 () (@list @t12 @t2 @t11)) % 0.42/0.93 (define @t144 () (_ @t16 @t2)) % 0.42/0.93 (define @t145 () (@list @t11 @t2 @t12)) % 0.42/0.93 (define @t146 () (= @t92 @t1)) % 0.42/0.93 (define @t147 () (_ tptp.less_eq @t85)) % 0.42/0.93 (define @t148 () (_ @t147 @t2)) % 0.42/0.93 (define @t149 () (_ @t6 @t85)) % 0.42/0.93 (define @t150 () (@list @t2 @t11 @t12)) % 0.42/0.93 (define @t151 () (= @t85 @t12)) % 0.42/0.93 (define @t152 () (= @t85 @t11)) % 0.42/0.93 (define @t153 () (_ (_ tptp.less_eq @t82) @t12)) % 0.42/0.93 (define @t154 () (_ @t28 @t85)) % 0.42/0.93 (define @t155 () (@list @t27 @t12 @t11)) % 0.42/0.93 (define @t156 () (@list @t27 @t11 @t12)) % 0.42/0.93 (define @t157 () (_ tptp.sup @t27)) % 0.42/0.93 (define @t158 () (_ @t157 @t122)) % 0.42/0.93 (define @t159 () (= @t12 @t85)) % 0.42/0.93 (define @t160 () (_ tptp.less_eq @t129)) % 0.42/0.93 (define @t161 () (_ tptp.less @t71)) % 0.42/0.93 (define @t162 () (_ @t161 @t27)) % 0.42/0.93 (define @t163 () (_ @t161 @t2)) % 0.42/0.93 (define @t164 () (_ @t56 @t85)) % 0.42/0.93 (define @t165 () (_ @t56 @t12)) % 0.42/0.93 (define @t166 () (forall @t140 (=> @t165 @t164))) % 0.42/0.93 (define @t167 () (not @t51)) % 0.42/0.93 (define @t168 () (not (=> @t48 @t167))) % 0.42/0.93 (define @t169 () (_ (_ tptp.less @t82) @t12)) % 0.42/0.93 (define @t170 () (forall @t117 (=> @t169 @t168))) % 0.42/0.93 (define @t171 () (_ @t50 @t85)) % 0.42/0.93 (define @t172 () (_ (_ tptp.inf @t92) @t93)) % 0.42/0.93 (define @t173 () (_ @t90 @t75)) % 0.42/0.93 (define @t174 () (_ tptp.inf @t102)) % 0.42/0.93 (define @t175 () (_ (_ tptp.sup @t78) @t80)) % 0.42/0.93 (define @t176 () (_ @t76 @t89)) % 0.42/0.93 (define @t177 () (_ tptp.sup @t102)) % 0.42/0.93 (define @t178 () (_ tptp.modula1727524044comp_a tptp.less_eq)) % 0.42/0.93 (define @t179 () (_ (_ tptp.greatest_a tptp.less_eq) @t95)) % 0.42/0.93 (define @t180 () (@var "Y5" tptp.a)) % 0.42/0.93 (define @t181 () (_ @t95 @t180)) % 0.42/0.93 (define @t182 () (@list @t180)) % 0.42/0.93 (define @t183 () (_ @t95 @t129)) % 0.42/0.93 (define @t184 () (@list @t129)) % 0.42/0.93 (define @t185 () (forall @t184 (=> @t183 (_ @t160 @t2)))) % 0.42/0.93 (define @t186 () (_ @t95 @t2)) % 0.42/0.93 (define @t187 () (@list @t95 @t2 @t101)) % 0.42/0.93 (define @t188 () (@list @t95 @t2)) % 0.42/0.93 (define @t189 () (_ (_ (_ tptp.max_a tptp.less_eq) @t12) @t11)) % 0.42/0.93 (define @t190 () (not @t15)) % 0.42/0.93 (define @t191 () (_ (_ (_ tptp.min_a tptp.less_eq) @t12) @t11)) % 0.42/0.93 (define @t192 () (_ @t69 @t82)) % 0.42/0.93 (define @t193 () (_ @t123 @t12)) % 0.42/0.93 (define @t194 () (_ tptp.sup @t71)) % 0.42/0.93 (define @t195 () (_ @t157 @t12)) % 0.42/0.93 (define @t196 () (_ (_ (_ (_ (_ (_ tptp.modula1376131916tice_a tptp.inf) tptp.less) tptp.sup) @t12) @t11) @t27)) % 0.42/0.93 (define @t197 () (_ (_ tptp.least_a tptp.less_eq) @t95)) % 0.42/0.93 (define @t198 () (@var "X4" tptp.a)) % 0.42/0.93 (define @t199 () (@var "Ya" tptp.a)) % 0.42/0.93 (define @t200 () (exists (@list @t198) (and (_ @t95 @t198) (forall @t184 (=> @t183 (_ (_ tptp.less_eq @t198) @t129))) (forall @t184 (=> (and @t183 (forall (@list @t199) (=> (_ @t95 @t199) (_ @t160 @t199)))) (= @t129 @t198)))))) % 0.42/0.93 (define @t201 () (forall @t184 (=> @t183 (_ @t6 @t129)))) % 0.42/0.93 (define @t202 () (_ (_ tptp.modula1936294176_aux_a tptp.inf) tptp.sup)) % 0.42/0.93 (define @t203 () (_ (_ (_ @t202 @t12) @t11) @t27)) % 0.42/0.93 (define @t204 () (_ (_ tptp.modula1144073633_aux_a tptp.inf) tptp.sup)) % 0.42/0.93 (define @t205 () (_ (_ (_ @t204 @t12) @t11) @t27)) % 0.42/0.93 (define @t206 () (_ @t69 @t205)) % 0.42/0.93 (define @t207 () (_ @t67 @t205)) % 0.42/0.93 (define @t208 () (_ @t123 @t205)) % 0.42/0.93 (define @t209 () (_ (_ (_ (_ (_ tptp.modula581031071_aux_a tptp.inf) tptp.sup) @t12) @t11) @t27)) % 0.42/0.93 (define @t210 () (_ (_ (_ (_ (_ tptp.modula1373251614_aux_a tptp.inf) tptp.sup) @t12) @t11) @t27)) % 0.42/0.93 (define @t211 () (_ (_ tptp.modula17988509_aux_a tptp.inf) tptp.sup)) % 0.42/0.93 (define @t212 () (@var "Less" (-> tptp.a tptp.a Bool))) % 0.42/0.93 (define @t213 () (@var "Less_eq" (-> tptp.a tptp.a Bool))) % 0.42/0.93 (define @t214 () (_ (_ (_ tptp.semilattice_order_a @t126) @t213) @t212)) % 0.42/0.93 (define @t215 () (_ (_ (_ tptp.lattic655834328_set_a @t126) @t213) @t212)) % 0.42/0.93 (define @t216 () (@list @t126 @t213 @t212)) % 0.42/0.93 (define @t217 () (_ tptp.semigroup_a @t126)) % 0.42/0.93 (define @t218 () (_ tptp.abel_semigroup_a @t126)) % 0.42/0.93 (define @t219 () (@list @t126)) % 0.42/0.93 (define @t220 () (_ @t126 @t11)) % 0.42/0.93 (define @t221 () (_ @t220 @t27)) % 0.42/0.93 (define @t222 () (_ @t126 @t12)) % 0.42/0.93 (define @t223 () (_ @t222 @t221)) % 0.42/0.93 (define @t224 () (_ @t222 @t11)) % 0.42/0.93 (define @t225 () (@list @t126 @t12 @t11)) % 0.42/0.93 (define @t226 () (@var "C2" tptp.a)) % 0.42/0.93 (define @t227 () (@var "B3" tptp.a)) % 0.42/0.93 (define @t228 () (@var "A4" tptp.a)) % 0.42/0.93 (define @t229 () (_ @t126 @t228)) % 0.42/0.93 (define @t230 () (_ @t126 @t224)) % 0.42/0.93 (define @t231 () (_ tptp.semilattice_a @t126)) % 0.42/0.93 (define @t232 () (_ tptp.lattic1885654924_set_a @t126)) % 0.42/0.93 (define @t233 () (_ @t213 @t224)) % 0.42/0.93 (define @t234 () (_ @t213 @t11)) % 0.42/0.93 (define @t235 () (_ @t213 @t12)) % 0.42/0.93 (define @t236 () (_ @t235 @t27)) % 0.42/0.93 (define @t237 () (= @t12 @t224)) % 0.42/0.93 (define @t238 () (_ @t235 @t11)) % 0.42/0.93 (define @t239 () (@list @t126 @t213 @t212 @t12 @t11)) % 0.42/0.93 (define @t240 () (= @t224 @t12)) % 0.42/0.93 (define @t241 () (= @t224 @t11)) % 0.42/0.93 (define @t242 () (_ @t234 @t12)) % 0.42/0.93 (define @t243 () (@list @t126 @t213 @t212 @t11 @t12)) % 0.42/0.93 (define @t244 () (_ @t235 @t221)) % 0.42/0.93 (define @t245 () (@list @t126 @t213 @t212 @t12 @t11 @t27)) % 0.42/0.93 (define @t246 () (_ @t233 @t27)) % 0.42/0.93 (define @t247 () (@list @t126 @t213 @t212 @t12 @t27 @t11)) % 0.42/0.93 (define @t248 () (@list @t126 @t213 @t212 @t11 @t27 @t12)) % 0.42/0.93 (define @t249 () (_ @t212 @t12)) % 0.42/0.93 (define @t250 () (_ @t249 @t27)) % 0.42/0.93 (define @t251 () (_ @t249 @t11)) % 0.42/0.93 (define @t252 () (_ (_ @t212 @t224) @t27)) % 0.42/0.93 (define @t253 () (@var "M" tptp.a)) % 0.42/0.93 (define @t254 () (_ tptp.condit1001553558elow_a tptp.less_eq)) % 0.42/0.93 (define @t255 () (_ @t254 @t97)) % 0.42/0.93 (define @t256 () (@var "M2" tptp.a)) % 0.42/0.93 (define @t257 () (_ (_ tptp.condit1627435690bove_a tptp.less_eq) @t97)) % 0.42/0.93 (define @t258 () (@var "M3" tptp.a)) % 0.42/0.93 (define @t259 () (_ (_ tptp.member_a @t102) @t97)) % 0.42/0.93 (define @t260 () (@var "M4" tptp.a)) % 0.42/0.93 (define @t261 () (_ tptp.less_eq tptp.x)) % 0.42/0.93 (define @t262 () (_ tptp.sup tptp.x)) % 0.42/0.93 (define @t263 () (_ @t262 tptp.z)) % 0.42/0.93 (define @t264 () (_ tptp.inf tptp.y)) % 0.42/0.93 (define @t265 () (_ @t264 @t263)) % 0.42/0.93 (define @t266 () (_ @t264 tptp.z)) % 0.42/0.93 (define @t267 () (_ @t262 @t266)) % 0.42/0.93 (define @t268 () (_ (_ tptp.less @t267) @t265)) % 0.42/0.93 (define @t269 () (_ (_ tptp.sup @t265) tptp.z)) % 0.42/0.93 (define @t270 () (_ @t261 @t269)) % 0.42/0.93 (define @t271 () (not @t270)) % 0.42/0.93 (define @t272 () (@var "C3" tptp.a)) % 0.42/0.93 (define @t273 () (@var "F2" (-> tptp.a tptp.a tptp.a))) % 0.42/0.93 (define @t274 () (_ @t273 @t20)) % 0.42/0.93 (define @t275 () (lambda (@list @t273) (forall (@list @t20 @t19 @t272) (= (_ (_ @t273 (_ @t274 @t19)) @t272) (_ @t274 (_ (_ @t273 @t19) @t272)))))) % 0.42/0.93 (define @t276 () (@var "Less2" (-> tptp.a tptp.a Bool))) % 0.42/0.93 (define @t277 () (@var "Less_eq2" (-> tptp.a tptp.a Bool))) % 0.42/0.93 (define @t278 () (lambda (@list @t273 @t277 @t276) (and (_ (_ (_ tptp.semilattice_order_a @t273) @t277) @t276) (_ tptp.lattic1885654924_set_a @t273)))) % 0.42/0.93 (define @t279 () (tptp.sup @t12 @t11)) % 0.42/0.93 (define @t280 () (tptp.less @t2 @t279)) % 0.42/0.93 (define @t281 () (tptp.less @t2 @t12)) % 0.42/0.93 (define @t282 () (not @t165)) % 0.42/0.93 (define @t283 () (or @t282 @t164)) % 0.42/0.93 (define @t284 () (tptp.sup tptp.x tptp.z)) % 0.42/0.93 (define @t285 () (tptp.inf tptp.y @t284)) % 0.42/0.93 (define @t286 () (= @t11 @t12)) % 0.42/0.93 (define @t287 () (tptp.less @t11 @t12)) % 0.42/0.93 (define @t288 () (or @t48 @t286)) % 0.42/0.93 (define @t289 () (tptp.less_eq @t11 @t12)) % 0.42/0.93 (define @t290 () (= @t17 @t288)) % 0.42/0.93 (define @t291 () (tptp.sup @t285 tptp.z)) % 0.42/0.93 (define @t292 () (tptp.less_eq tptp.x @t291)) % 0.42/0.93 (define @t293 () (tptp.less tptp.x @t291)) % 0.42/0.93 (define @t294 () (or @t293 (= tptp.x @t291))) % 0.42/0.93 (define @t295 () (= @t292 @t294)) % 0.42/0.93 (define @t296 () (not @t294)) % 0.42/0.93 (define @t297 () (@list true false)) % 0.42/0.93 (define @t298 () (tptp.less tptp.x @t285)) % 0.42/0.93 (define @t299 () (not @t298)) % 0.42/0.93 (define @t300 () (or @t299 @t293)) % 0.42/0.93 (define @t301 () (tptp.less @t27 @t12)) % 0.42/0.93 (define @t302 () (and @t48 @t51)) % 0.42/0.93 (define @t303 () (tptp.sup @t11 @t27)) % 0.42/0.93 (define @t304 () (tptp.less @t303 @t12)) % 0.42/0.93 (define @t305 () (not @t169)) % 0.42/0.93 (define @t306 () (or @t305 @t302)) % 0.42/0.93 (define @t307 () (tptp.inf tptp.y tptp.z)) % 0.42/0.93 (define @t308 () (tptp.sup tptp.x @t307)) % 0.42/0.93 (define @t309 () (tptp.less @t308 @t285)) % 0.42/0.93 (define @t310 () (and @t298 (tptp.less @t307 @t285))) % 0.42/0.93 (define @t311 () (not @t309)) % 0.42/0.93 (define @t312 () (or @t311 @t310)) % 0.42/0.93 (assume @p1 (forall @t8 (=> @t7 (=> @t5 @t3)))) % 0.42/0.93 (assume @p2 (forall @t10 (=> @t5 @t9))) % 0.42/0.93 (assume @p3 (forall @t18 (=> @t17 (=> @t15 @t13)))) % 0.42/0.93 (assume @p4 (= @t26 (lambda @t23 (and @t22 @t21)))) % 0.42/0.93 (assume @p5 (forall @t31 (=> @t17 (=> @t30 @t29)))) % 0.42/0.93 (assume @p6 (= @t26 (lambda (@list @t32 @t33) (and (_ @t34 @t33) (_ (_ tptp.less_eq @t33) @t32))))) % 0.42/0.93 (assume @p7 (forall @t8 (=> @t3 @t7))) % 0.42/0.93 (assume @p8 (forall @t38 (=> @t13 @t37))) % 0.42/0.93 (assume @p9 (forall @t38 (=> @t15 (=> @t39 @t35)))) % 0.42/0.93 (assume @p10 (forall @t40 (=> @t15 (=> @t17 @t13)))) % 0.42/0.93 (assume @p11 (= @t26 (lambda @t23 (and @t21 @t22)))) % 0.42/0.93 (assume @p12 (forall @t38 (=> @t15 @t37))) % 0.42/0.93 (assume @p13 (forall @t44 (=> @t7 (=> @t43 @t42)))) % 0.42/0.93 (assume @p14 (forall @t18 (=> @t48 (not @t46)))) % 0.42/0.93 (assume @p15 (forall @t18 (=> @t48 @t49))) % 0.42/0.93 (assume @p16 (forall @t31 (=> @t48 @t53))) % 0.42/0.93 (assume @p17 (forall @t8 (=> @t57 (not @t55)))) % 0.42/0.93 (assume @p18 (forall @t40 (=> @t46 (not @t48)))) % 0.42/0.93 (assume @p19 (forall @t8 (=> @t57 @t58))) % 0.42/0.93 (assume @p20 (forall @t8 (=> @t57 (not (= @t1 @t2))))) % 0.42/0.93 (assume @p21 (forall (@list @t2 @t1 @t59) (=> @t57 (=> @t55 @t59)))) % 0.42/0.93 (assume @p22 (forall @t60 (not (_ @t56 @t2)))) % 0.42/0.93 (assume @p23 (forall @t44 (=> @t57 @t62))) % 0.42/0.93 (assume @p24 (forall @t38 (=> @t13 @t65))) % 0.42/0.93 (assume @p25 (forall @t38 (=> @t46 (=> @t39 @t63)))) % 0.42/0.93 (assume @p26 (forall @t66 (not (_ @t45 @t12)))) % 0.42/0.93 (assume @p27 (forall @t40 (=> @t46 @t49))) % 0.42/0.93 (assume @p28 (forall @t38 (=> @t46 @t65))) % 0.42/0.93 (assume @p29 (forall @t38 (= (_ @t72 @t27) @t70))) % 0.42/0.93 (assume @p30 (forall @t40 (= @t71 (_ @t67 @t12)))) % 0.42/0.93 (assume @p31 (forall @t31 (= (_ @t67 @t73) @t70))) % 0.42/0.93 (assume @p32 (forall @t44 (= (_ @t79 @t41) @t77))) % 0.42/0.93 (assume @p33 (forall @t8 (= @t78 (_ @t74 @t2)))) % 0.42/0.93 (assume @p34 (forall @t44 (= @t77 (_ @t74 @t80)))) % 0.42/0.93 (assume @p35 (forall @t38 (= (_ @t86 @t27) @t84))) % 0.42/0.93 (assume @p36 (forall @t40 (= @t85 (_ @t81 @t12)))) % 0.42/0.93 (assume @p37 (forall @t31 (= (_ @t81 @t87) @t84))) % 0.42/0.93 (assume @p38 (forall @t44 (= (_ (_ tptp.sup @t92) @t41) @t91))) % 0.42/0.93 (assume @p39 (forall @t8 (= @t92 (_ @t88 @t2)))) % 0.42/0.93 (assume @p40 (forall @t44 (= @t91 (_ @t88 @t93)))) % 0.42/0.93 (assume @p41 (forall @t8 (=> @t94 @t9))) % 0.42/0.93 (assume @p42 (forall (@list @t12 @t95) (= (_ (_ tptp.member_a @t12) @t96) (_ @t95 @t12)))) % 0.42/0.93 (assume @p43 (forall @t100 (= (_ tptp.collect_a (lambda @t99 @t98)) @t97))) % 0.42/0.93 (assume @p44 (forall (@list @t95 @t101) (=> (forall @t105 (= @t104 @t103)) (= @t96 (_ tptp.collect_a @t101))))) % 0.42/0.93 (assume @p45 (forall @t8 (=> @t7 (= @t94 @t3)))) % 0.42/0.93 (assume @p46 (forall @t40 (=> @t49 (=> @t17 @t48)))) % 0.42/0.93 (assume @p47 @t108) % 0.42/0.93 (assume @p48 (forall @t18 (= @t48 (and @t17 @t49)))) % 0.42/0.93 (assume @p49 (forall @t18 (=> @t48 @t17))) % 0.42/0.93 (assume @p50 (forall @t31 (=> @t17 @t53))) % 0.42/0.93 (assume @p51 (forall @t31 (=> @t48 (=> @t30 @t51)))) % 0.42/0.93 (assume @p52 (forall @t10 (=> @t5 @t94))) % 0.42/0.93 (assume @p53 (forall @t8 (=> @t7 @t109))) % 0.42/0.93 (assume @p54 (forall @t8 (= @t7 @t109))) % 0.42/0.93 (assume @p55 (forall @t44 (=> @t7 @t62))) % 0.42/0.93 (assume @p56 (forall @t40 (=> @t15 (=> @t49 @t46)))) % 0.42/0.93 (assume @p57 (forall @t8 (=> @t57 @t7))) % 0.42/0.93 (assume @p58 (forall @t8 (= @t57 (and @t7 @t58)))) % 0.42/0.93 (assume @p59 (forall @t8 (= @t57 (and @t7 @t110)))) % 0.42/0.93 (assume @p60 (forall @t44 (=> @t57 (=> @t43 @t61)))) % 0.42/0.93 (assume @p61 (forall @t40 (=> @t49 (=> @t15 @t46)))) % 0.42/0.93 (assume @p62 (forall @t40 (= @t15 (or @t46 @t13)))) % 0.42/0.93 (assume @p63 (forall @t40 (= @t46 (and @t15 @t49)))) % 0.42/0.93 (assume @p64 (forall @t40 (=> @t46 @t15))) % 0.42/0.93 (assume @p65 (forall @t38 (=> @t15 @t65))) % 0.42/0.93 (assume @p66 (forall @t38 (=> @t46 (=> @t36 @t63)))) % 0.42/0.93 (assume @p67 (forall @t40 (=> @t15 @t111))) % 0.42/0.93 (assume @p68 (forall @t18 (=> @t17 @t112))) % 0.42/0.93 (assume @p69 (forall @t40 (= @t15 @t111))) % 0.42/0.93 (assume @p70 (forall @t18 (= @t17 @t112))) % 0.42/0.93 (assume @p71 (forall @t38 (=> @t113 (not (=> @t15 (not @t35)))))) % 0.42/0.93 (assume @p72 (forall @t38 (=> @t15 (=> @t35 @t113)))) % 0.42/0.93 (assume @p73 (forall @t40 (_ @t114 @t12))) % 0.42/0.93 (assume @p74 (forall @t40 (_ @t114 @t11))) % 0.42/0.93 (assume @p75 (forall @t116 (=> @t35 @t115))) % 0.42/0.93 (assume @p76 (forall @t117 (=> @t36 @t115))) % 0.42/0.93 (assume @p77 (forall @t40 (=> @t15 @t118))) % 0.42/0.93 (assume @p78 (forall @t40 (=> @t118 @t15))) % 0.42/0.93 (assume @p79 (forall @t40 (= @t15 @t118))) % 0.42/0.93 (assume @p80 (forall @t8 (=> @t7 @t119))) % 0.42/0.93 (assume @p81 (forall @t10 (=> @t5 (= @t78 @t1)))) % 0.42/0.93 (assume @p82 (forall @t44 (=> @t7 (=> @t42 @t120)))) % 0.42/0.93 (assume @p83 (forall @t8 (_ @t121 @t2))) % 0.42/0.93 (assume @p84 (forall @t8 (_ @t121 @t1))) % 0.42/0.93 (assume @p85 (forall @t125 (=> @t35 (=> @t124 (_ @t114 (_ @t123 @t122)))))) % 0.42/0.93 (assume @p86 (forall @t136 (=> (forall @t135 (_ @t134 @t102)) (=> (forall @t135 (_ @t134 @t129)) (=> (forall @t132 (=> (_ @t131 @t129) (=> (_ @t131 @t128) (_ @t131 @t130)))) (= @t78 @t127)))))) % 0.42/0.93 (assume @p87 (forall @t8 (= @t7 @t119))) % 0.42/0.93 (assume @p88 (forall @t140 (=> @t139 (not (=> @t138 (not @t137)))))) % 0.42/0.93 (assume @p89 (forall @t140 (=> @t138 (=> @t137 @t139)))) % 0.42/0.93 (assume @p90 (forall @t143 (=> @t142 @t141))) % 0.42/0.93 (assume @p91 (forall @t145 (=> @t144 @t141))) % 0.42/0.93 (assume @p92 (forall @t8 (= @t7 @t146))) % 0.42/0.93 (assume @p93 (forall (@list @t12 @t11 @t2) (=> @t148 (not (=> @t142 (not @t144)))))) % 0.42/0.93 (assume @p94 (forall @t143 (=> @t142 (=> @t144 @t148)))) % 0.42/0.93 (assume @p95 (forall @t140 (=> @t138 @t149))) % 0.42/0.93 (assume @p96 (forall @t150 (=> @t137 @t149))) % 0.42/0.93 (assume @p97 (forall @t18 (=> @t17 @t151))) % 0.42/0.93 (assume @p98 (forall @t40 (=> @t15 @t152))) % 0.42/0.93 (assume @p99 (forall @t18 (= @t17 @t151))) % 0.42/0.93 (assume @p100 (forall @t40 (= @t15 @t152))) % 0.42/0.93 (assume @p101 (forall @t117 (=> @t153 (not (=> @t17 (not @t29)))))) % 0.42/0.93 (assume @p102 (forall @t31 (=> @t17 (=> @t29 @t153)))) % 0.42/0.93 (assume @p103 (forall @t40 (_ @t14 @t85))) % 0.42/0.93 (assume @p104 (forall @t18 (_ @t16 @t85))) % 0.42/0.93 (assume @p105 (forall @t155 (=> @t29 @t154))) % 0.42/0.93 (assume @p106 (forall @t156 (=> @t30 @t154))) % 0.42/0.93 (assume @p107 (forall (@list @t27 @t12 @t122 @t11) (=> @t29 (=> (_ (_ tptp.less_eq @t122) @t11) (_ (_ tptp.less_eq @t158) @t85))))) % 0.42/0.93 (assume @p108 (forall @t18 (=> @t17 @t159))) % 0.42/0.93 (assume @p109 (forall @t40 (=> @t159 @t17))) % 0.42/0.93 (assume @p110 (forall @t18 (= @t17 @t159))) % 0.42/0.93 (assume @p111 (forall @t10 (=> @t5 (= @t92 @t2)))) % 0.42/0.93 (assume @p112 (forall @t8 (=> @t7 @t146))) % 0.42/0.93 (assume @p113 (forall @t8 (_ @t6 @t92))) % 0.42/0.93 (assume @p114 (forall @t10 (_ @t4 @t92))) % 0.42/0.93 (assume @p115 (forall (@list @t1 @t2 @t41) (=> @t5 (=> (_ (_ tptp.less_eq @t41) @t2) (_ (_ tptp.less_eq @t89) @t2))))) % 0.42/0.93 (assume @p116 (forall @t125 (=> @t35 (=> @t124 (_ @t147 @t158))))) % 0.42/0.93 (assume @p117 (forall @t136 (=> (forall @t135 (_ @t131 @t133)) (=> (forall @t135 (_ @t160 @t133)) (=> (forall @t132 (=> (_ @t160 @t102) (=> (_ (_ tptp.less_eq @t128) @t102) (_ (_ tptp.less_eq @t130) @t102)))) (= @t92 @t127)))))) % 0.42/0.93 (assume @p118 (forall @t38 (=> (_ @t45 @t68) (not (=> @t46 (not @t63)))))) % 0.42/0.93 (assume @p119 (forall @t116 (=> @t63 @t162))) % 0.42/0.93 (assume @p120 (forall @t117 (=> @t64 @t162))) % 0.42/0.93 (assume @p121 (forall @t40 (= @t46 (and @t118 @t49)))) % 0.42/0.93 (assume @p122 (forall @t143 (=> (_ @t45 @t2) @t163))) % 0.42/0.93 (assume @p123 (forall @t145 (=> (_ @t47 @t2) @t163))) % 0.42/0.93 (assume @p124 @t166) % 0.42/0.93 (assume @p125 (forall @t150 (=> (_ @t56 @t11) @t164))) % 0.42/0.93 (assume @p126 @t170) % 0.42/0.93 (assume @p127 (forall @t155 (=> @t51 @t171))) % 0.42/0.93 (assume @p128 (forall @t156 (=> @t52 @t171))) % 0.42/0.93 (assume @p129 (forall @t18 (= @t48 (and @t159 @t49)))) % 0.42/0.93 (assume @p130 (forall @t44 (=> (forall @t132 (= (_ @t174 (_ (_ tptp.sup @t129) @t128)) (_ (_ tptp.sup (_ @t174 @t129)) (_ @t174 @t128)))) (= @t173 @t172)))) % 0.42/0.93 (assume @p131 (forall @t44 (=> (forall @t132 (= (_ @t177 (_ (_ tptp.inf @t129) @t128)) (_ (_ tptp.inf (_ @t177 @t129)) (_ @t177 @t128)))) (= @t176 @t175)))) % 0.42/0.93 (assume @p132 (forall @t44 (_ (_ tptp.less_eq @t175) @t176))) % 0.42/0.93 (assume @p133 (forall @t44 (_ (_ tptp.less_eq @t173) @t172))) % 0.42/0.93 (assume @p134 (forall @t8 (= (_ (_ @t178 @t2) @t1) (and (not @t7) @t110)))) % 0.42/0.93 (assume @p135 (forall @t66 (_ @t14 @t12))) % 0.42/0.93 (assume @p136 (forall @t60 (_ @t6 @t2))) % 0.42/0.93 (assume @p137 (forall @t66 (= (_ @t69 @t12) @t12))) % 0.42/0.93 (assume @p138 (forall @t40 (= (_ @t69 @t71) @t71))) % 0.42/0.93 (assume @p139 (forall @t40 (= (_ @t72 @t11) @t71))) % 0.42/0.93 (assume @p140 (forall @t60 (= (_ @t76 @t2) @t2))) % 0.42/0.93 (assume @p141 (forall @t8 (= (_ @t76 @t78) @t78))) % 0.42/0.93 (assume @p142 (forall @t8 (= (_ @t79 @t1) @t78))) % 0.42/0.93 (assume @p143 (forall @t66 (= (_ @t83 @t12) @t12))) % 0.42/0.93 (assume @p144 (forall @t40 (= (_ @t83 @t85) @t85))) % 0.42/0.93 (assume @p145 (forall @t40 (= (_ @t86 @t11) @t85))) % 0.42/0.93 (assume @p146 (forall @t60 (= (_ @t90 @t2) @t2))) % 0.42/0.93 (assume @p147 (forall @t8 (= (_ @t90 @t92) @t92))) % 0.42/0.93 (assume @p148 (forall @t187 (=> @t186 (=> @t185 (=> (forall @t105 (=> @t104 (=> (forall @t182 (=> @t181 (_ (_ tptp.less_eq @t180) @t102))) @t103))) (_ @t101 @t179)))))) % 0.42/0.93 (assume @p149 (forall @t188 (=> @t186 (=> @t185 (= @t179 @t2))))) % 0.42/0.93 (assume @p150 (forall @t40 (and (=> @t15 (= @t189 @t11)) (=> @t190 (= @t189 @t12))))) % 0.42/0.93 (assume @p151 (forall @t40 (and (=> @t15 (= @t191 @t12)) (=> @t190 (= @t191 @t11))))) % 0.42/0.93 (assume @p152 (forall @t38 (= (_ (_ (_ (_ (_ (_ tptp.modula397570059tice_a tptp.inf) tptp.less) tptp.sup) @t12) @t11) @t27) (and (= @t73 @t68) @t46 (= @t87 @t82))))) % 0.42/0.93 (assume @p153 (forall @t38 (= (_ (_ (_ (_ (_ (_ tptp.modula1962211574trib_a tptp.inf) tptp.less) tptp.sup) @t12) @t11) @t27) (_ (_ tptp.less (_ @t194 @t193)) @t192)))) % 0.42/0.93 (assume @p154 (forall @t38 (= @t113 (and @t15 @t35)))) % 0.42/0.93 (assume @p155 (forall @t44 (= @t120 (and @t7 @t42)))) % 0.42/0.93 (assume @p156 (forall @t44 (= (_ (_ tptp.less_eq @t92) @t41) (and @t42 @t43)))) % 0.42/0.93 (assume @p157 (forall @t117 (= @t153 (and @t17 @t29)))) % 0.42/0.93 (assume @p158 (forall @t8 (= (_ @t76 @t92) @t2))) % 0.42/0.93 (assume @p159 (forall @t8 (= (_ @t90 @t78) @t2))) % 0.42/0.93 (assume @p160 (forall @t38 (= @t196 (and (= @t71 @t68) (= @t193 @t68) (= @t85 @t82) (= @t195 @t82) (_ @t161 @t85))))) % 0.42/0.93 (assume @p161 (forall (@list @t95) (=> @t200 (_ @t95 @t197)))) % 0.42/0.93 (assume @p162 (forall (@list @t95 @t41) (=> @t200 (=> (_ @t95 @t41) (_ (_ tptp.less_eq @t197) @t41))))) % 0.42/0.93 (assume @p163 (forall @t187 (=> @t186 (=> @t201 (=> (forall @t105 (=> @t104 (=> (forall @t182 (=> @t181 (_ @t131 @t180))) @t103))) (_ @t101 @t197)))))) % 0.42/0.93 (assume @p164 (forall @t188 (=> @t186 (=> @t201 (= @t197 @t2))))) % 0.42/0.93 (assume @p165 (forall @t38 (= (_ @t83 @t203) (_ @t83 @t68)))) % 0.42/0.93 (assume @p166 (forall @t31 (= (_ @t81 @t203) (_ @t81 @t193)))) % 0.42/0.93 (assume @p167 (forall @t38 (= @t203 (_ (_ tptp.sup (_ @t194 @t68)) @t193)))) % 0.42/0.93 (assume @p168 (forall @t117 (= (_ (_ (_ @t202 @t11) @t27) @t12) @t203))) % 0.42/0.93 (assume @p169 (forall @t155 (= (_ (_ (_ @t202 @t27) @t12) @t11) @t203))) % 0.42/0.93 (assume @p170 (forall @t38 (= @t206 @t192))) % 0.42/0.93 (assume @p171 (forall @t31 (= @t207 (_ @t67 @t195)))) % 0.42/0.93 (assume @p172 (forall @t155 (= @t208 (_ @t123 @t85)))) % 0.42/0.93 (assume @p173 (forall @t38 (= @t205 (_ (_ tptp.inf (_ (_ tptp.inf @t85) @t82)) @t195)))) % 0.42/0.93 (assume @p174 (forall @t117 (= (_ (_ (_ @t204 @t11) @t27) @t12) @t205))) % 0.42/0.93 (assume @p175 (forall @t155 (= (_ (_ (_ @t204 @t27) @t12) @t11) @t205))) % 0.42/0.93 (assume @p176 (_ (_ (_ tptp.lattic655834328_set_a tptp.inf) tptp.less_eq) tptp.less)) % 0.42/0.93 (assume @p177 (forall @t38 (=> @t196 (_ (_ @t178 @t12) @t11)))) % 0.42/0.93 (assume @p178 (forall @t38 (= @t209 (_ (_ tptp.sup @t208) @t203)))) % 0.42/0.93 (assume @p179 (forall @t38 (= @t210 (_ (_ tptp.sup @t207) @t203)))) % 0.42/0.93 (assume @p180 (forall @t38 (= (_ (_ (_ @t211 @t12) @t11) @t27) (_ (_ tptp.sup @t206) @t203)))) % 0.42/0.93 (assume @p181 (= tptp.modula1962211574trib_a tptp.modula1962211574trib_a)) % 0.42/0.93 (assume @p182 (= tptp.modula397570059tice_a tptp.modula397570059tice_a)) % 0.42/0.93 (assume @p183 (= tptp.modula1376131916tice_a tptp.modula1376131916tice_a)) % 0.42/0.93 (assume @p184 (= tptp.modula1727524044comp_a tptp.modula1727524044comp_a)) % 0.42/0.93 (assume @p185 (= tptp.modula1144073633_aux_a tptp.modula1144073633_aux_a)) % 0.42/0.93 (assume @p186 (= tptp.modula1936294176_aux_a tptp.modula1936294176_aux_a)) % 0.42/0.93 (assume @p187 (_ (_ (_ tptp.semilattice_order_a tptp.inf) tptp.less_eq) tptp.less)) % 0.42/0.93 (assume @p188 (_ (_ tptp.ordering_a tptp.less_eq) tptp.less)) % 0.42/0.93 (assume @p189 (_ tptp.finite40241356em_a_a tptp.sup)) % 0.42/0.93 (assume @p190 (_ tptp.finite40241356em_a_a tptp.inf)) % 0.42/0.93 (assume @p191 (forall @t38 (= @t210 (_ (_ (_ @t211 @t11) @t27) @t12)))) % 0.42/0.93 (assume @p192 (forall @t38 (= @t209 (_ (_ (_ @t211 @t27) @t12) @t11)))) % 0.42/0.93 (assume @p193 (= tptp.modula581031071_aux_a tptp.modula581031071_aux_a)) % 0.42/0.93 (assume @p194 (= tptp.modula1373251614_aux_a tptp.modula1373251614_aux_a)) % 0.42/0.93 (assume @p195 (= tptp.modula17988509_aux_a tptp.modula17988509_aux_a)) % 0.42/0.93 (assume @p196 (_ tptp.semigroup_a tptp.sup)) % 0.42/0.93 (assume @p197 (_ tptp.semigroup_a tptp.inf)) % 0.42/0.93 (assume @p198 (_ tptp.semilattice_a tptp.sup)) % 0.42/0.93 (assume @p199 (_ tptp.semilattice_a tptp.inf)) % 0.42/0.93 (assume @p200 (_ tptp.abel_semigroup_a tptp.sup)) % 0.42/0.93 (assume @p201 (_ tptp.abel_semigroup_a tptp.inf)) % 0.42/0.93 (assume @p202 (forall @t216 (=> @t215 @t214))) % 0.42/0.93 (assume @p203 (forall @t219 (=> @t218 @t217))) % 0.42/0.93 (assume @p204 (forall (@list @t126 @t11 @t12 @t27) (=> @t218 (= (_ @t220 (_ @t222 @t27)) @t223)))) % 0.42/0.93 (assume @p205 (forall @t225 (=> @t218 (= @t224 (_ @t220 @t12))))) % 0.42/0.93 (assume @p206 (forall @t219 (=> (forall (@list @t228 @t227 @t226) (= (_ (_ @t126 (_ @t229 @t227)) @t226) (_ @t229 (_ (_ @t126 @t227) @t226)))) @t217))) % 0.42/0.93 (assume @p207 (forall (@list @t126 @t12 @t11 @t27) (=> @t217 (= (_ @t230 @t27) @t223)))) % 0.42/0.93 (assume @p208 (forall @t219 (=> @t231 @t218))) % 0.42/0.93 (assume @p209 (_ tptp.lattic1885654924_set_a tptp.sup)) % 0.42/0.93 (assume @p210 (_ tptp.lattic1885654924_set_a tptp.inf)) % 0.42/0.93 (assume @p211 (forall @t216 (=> @t215 @t232))) % 0.42/0.93 (assume @p212 (= tptp.lattic1885654924_set_a tptp.semilattice_a)) % 0.42/0.93 (assume @p213 (forall @t219 (=> @t231 @t232))) % 0.42/0.93 (assume @p214 (forall @t219 (=> @t232 @t231))) % 0.42/0.93 (assume @p215 (forall @t216 (=> @t214 (=> @t232 @t215)))) % 0.42/0.93 (assume @p216 (forall (@list @t126 @t213 @t212 @t12 @t27 @t11 @t122) (=> @t214 (=> @t236 (=> (_ @t234 @t122) (_ @t233 (_ (_ @t126 @t27) @t122))))))) % 0.42/0.93 (assume @p217 (forall @t239 (=> @t214 (=> @t238 @t237)))) % 0.42/0.93 (assume @p218 (forall @t239 (=> @t214 (=> @t237 @t238)))) % 0.42/0.93 (assume @p219 (forall @t239 (=> @t214 (=> @t238 @t240)))) % 0.42/0.93 (assume @p220 (forall @t243 (=> @t214 (=> @t242 @t241)))) % 0.42/0.93 (assume @p221 (forall @t245 (=> @t214 (=> @t244 (not (=> @t238 (not @t236))))))) % 0.42/0.93 (assume @p222 (forall @t245 (=> @t214 (=> @t238 (=> @t236 @t244))))) % 0.42/0.93 (assume @p223 (forall @t239 (=> @t214 (= @t238 @t237)))) % 0.42/0.93 (assume @p224 (forall @t239 (=> @t214 (_ @t233 @t12)))) % 0.42/0.93 (assume @p225 (forall @t239 (=> @t214 (_ @t233 @t11)))) % 0.42/0.93 (assume @p226 (forall @t239 (=> @t214 (= @t238 @t240)))) % 0.42/0.93 (assume @p227 (forall @t243 (=> @t214 (= @t242 @t241)))) % 0.42/0.93 (assume @p228 (forall @t245 (=> @t214 (= @t244 (and @t238 @t236))))) % 0.42/0.93 (assume @p229 (forall @t247 (=> @t214 (=> @t236 @t246)))) % 0.42/0.93 (assume @p230 (forall @t248 (=> @t214 (=> (_ @t234 @t27) @t246)))) % 0.42/0.93 (assume @p231 (forall @t245 (=> @t214 (=> (_ @t249 @t221) (not (=> @t251 (not @t250))))))) % 0.42/0.93 (assume @p232 (forall @t239 (=> @t214 (= @t251 (and @t237 @t49))))) % 0.42/0.93 (assume @p233 (forall @t247 (=> @t214 (=> @t250 @t252)))) % 0.42/0.93 (assume @p234 (forall @t248 (=> @t214 (=> (_ (_ @t212 @t11) @t27) @t252)))) % 0.42/0.93 (assume @p235 (forall (@list @t126 @t12) (=> @t231 (= (_ @t222 @t12) @t12)))) % 0.42/0.93 (assume @p236 (forall @t225 (=> @t231 (= (_ @t222 @t224) @t224)))) % 0.42/0.93 (assume @p237 (forall @t225 (=> @t231 (= (_ @t230 @t11) @t224)))) % 0.42/0.93 (assume @p238 (forall @t216 (=> @t214 @t231))) % 0.42/0.93 (assume @p239 (forall @t100 (= @t255 (exists (@list @t253) (forall @t99 (=> @t98 (_ (_ tptp.less_eq @t253) @t32))))))) % 0.42/0.93 (assume @p240 (forall @t100 (= @t257 (exists (@list @t256) (forall @t99 (=> @t98 (_ @t34 @t256))))))) % 0.42/0.93 (assume @p241 (forall (@list @t97 @t258) (=> (forall @t105 (=> @t259 (_ (_ tptp.less_eq @t258) @t102))) @t255))) % 0.42/0.93 (assume @p242 (forall (@list @t97 @t260) (=> (forall @t105 (=> @t259 (_ @t131 @t260))) @t257))) % 0.42/0.93 (assume @p243 (forall @t40 (_ @t254 (_ (_ (_ tptp.set_gr1491433118Than_a tptp.less) @t12) @t11)))) % 0.42/0.93 (assume @p244 (_ (_ (_ (_ tptp.lattice_a tptp.inf) tptp.less_eq) tptp.less) tptp.sup)) % 0.42/0.93 (assume @p245 (_ @t261 tptp.y)) % 0.42/0.93 (assume @p246 (not (= @t267 @t265))) % 0.42/0.93 (assume @p247 @t268) % 0.42/0.93 (assume @p248 @t271) % 0.42/0.93 (assume @p249 true) % 0.42/0.93 (step @p250 (= tptp.semigroup_a @t275) :rule refl :args (@t275)) % 0.42/0.93 (step @p251 (= tptp.lattic655834328_set_a @t278) :rule refl :args (@t278)) % 0.42/0.93 (step @p252 :rule refl :args ((tptp.less @t2 @t85))) % 0.42/0.93 (step @p253 :rule refl :args (@t279)) % 0.42/0.93 (step @p254 :rule refl :args (@t2)) % 0.42/0.93 (step @p255 :rule cong :premises (@p254 @p253) :args (@t280)) % 0.42/0.93 (step @p256 :rule trans :premises (@p255 @p252)) % 0.42/0.93 (step @p257 :rule refl :args (@t56)) % 0.42/0.93 (step @p258 :rule ho_cong :premises (@p257 @p253)) % 0.42/0.93 (step @p259 :rule cong :premises (@p258 @p256) :args ((= (_ @t56 @t279) @t280))) % 0.42/0.93 (step @p260 :rule symm :premises (@p259)) % 0.42/0.93 (step @p261 :rule refl :args (@t164)) % 0.42/0.93 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 0.42/0.93 (step @p263 :rule refl :args (@t85)) % 0.42/0.93 (step @p264 :rule cong :premises (@p263 @p253) :args ((= @t85 @t279))) % 0.42/0.93 (step @p265 :rule symm :premises (@p264)) % 0.42/0.93 (step @p266 :rule eq_resolve :premises (@p263 @p265)) % 0.42/0.93 (step @p267 :rule ho_cong :premises (@p257 @p266)) % 0.42/0.93 (step @p268 :rule trans :premises (@p267 @p262)) % 0.42/0.93 (step @p269 :rule refl :args (@t281)) % 0.42/0.93 (step @p270 :rule refl :args (@t165)) % 0.42/0.93 (step @p271 :rule cong :premises (@p270 @p269) :args ((= @t165 @t281))) % 0.42/0.93 (step @p272 :rule symm :premises (@p271)) % 0.42/0.93 (step @p273 :rule eq_resolve :premises (@p270 @p272)) % 0.42/0.93 (step @p274 :rule cong :premises (@p273) :args (@t282)) % 0.42/0.93 (step @p275 :rule nary_cong :premises (@p274 @p268) :args (@t283)) % 0.42/0.93 (step @p276 :rule cong :premises (@p275) :args ((forall @t140 @t283))) % 0.42/0.93 (step @p277 :rule bool-impl-elim :args (@t165 @t164)) % 0.42/0.93 (step @p278 :rule cong :premises (@p277) :args (@t166)) % 0.42/0.93 (step @p279 :rule trans :premises (@p278 @p276)) % 0.42/0.93 (step @p280 :rule eq_resolve :premises (@p124 @p279)) % 0.42/0.93 (step @p281 :rule instantiate :premises (@p280) :args ((@list tptp.x @t285 tptp.z))) % 0.42/0.93 (step @p282 :rule refl :args (@t286)) % 0.42/0.93 (step @p283 :rule refl :args (@t287)) % 0.42/0.93 (step @p284 :rule refl :args (@t48)) % 0.42/0.93 (step @p285 :rule cong :premises (@p284 @p283) :args ((= @t48 @t287))) % 0.42/0.93 (step @p286 :rule symm :premises (@p285)) % 0.42/0.93 (step @p287 :rule eq_resolve :premises (@p284 @p286)) % 0.42/0.93 (step @p288 :rule nary_cong :premises (@p287 @p282) :args (@t288)) % 0.42/0.93 (step @p289 :rule refl :args (@t289)) % 0.42/0.93 (step @p290 :rule refl :args (@t17)) % 0.42/0.93 (step @p291 :rule cong :premises (@p290 @p289) :args ((= @t17 @t289))) % 0.42/0.93 (step @p292 :rule symm :premises (@p291)) % 0.42/0.93 (step @p293 :rule eq_resolve :premises (@p290 @p292)) % 0.42/0.93 (step @p294 :rule cong :premises (@p293 @p288) :args (@t290)) % 0.42/0.93 (step @p295 :rule cong :premises (@p294) :args ((forall @t18 @t290))) % 0.42/0.93 (step @p296 :rule eq-symm :args (@t12 @t11)) % 0.42/0.93 (step @p297 :rule refl :args (@t48)) % 0.42/0.93 (step @p298 :rule nary_cong :premises (@p297 @p296) :args (@t106)) % 0.42/0.93 (step @p299 :rule refl :args (@t17)) % 0.42/0.93 (step @p300 :rule cong :premises (@p299 @p298) :args (@t107)) % 0.42/0.93 (step @p301 :rule cong :premises (@p300) :args (@t108)) % 0.42/0.93 (step @p302 :rule trans :premises (@p301 @p295)) % 0.42/0.93 (step @p303 :rule eq_resolve :premises (@p47 @p302)) % 0.42/0.93 (step @p304 :rule instantiate :premises (@p303) :args ((@list tptp.x @t291))) % 0.42/0.93 (step @p305 :rule refl :args ((tptp.less_eq tptp.x @t269))) % 0.42/0.93 (step @p306 :rule refl :args ((tptp.sup @t265 tptp.z))) % 0.42/0.93 (step @p307 :rule refl :args (tptp.z)) % 0.42/0.93 (step @p308 :rule refl :args ((tptp.inf tptp.y @t263))) % 0.42/0.93 (step @p309 :rule refl :args (@t284)) % 0.42/0.93 (step @p310 :rule refl :args (tptp.y)) % 0.42/0.93 (step @p311 :rule cong :premises (@p310 @p309) :args (@t285)) % 0.42/0.93 (step @p312 :rule trans :premises (@p311 @p308)) % 0.42/0.93 (step @p313 :rule cong :premises (@p312 @p307) :args (@t291)) % 0.42/0.93 (step @p314 :rule trans :premises (@p313 @p306)) % 0.42/0.93 (step @p315 :rule refl :args (tptp.x)) % 0.42/0.93 (step @p316 :rule cong :premises (@p315 @p314) :args (@t292)) % 0.42/0.93 (step @p317 :rule trans :premises (@p316 @p305)) % 0.42/0.93 (step @p318 :rule refl :args (@t261)) % 0.42/0.93 (step @p319 :rule ho_cong :premises (@p318 @p314)) % 0.42/0.93 (step @p320 :rule cong :premises (@p319 @p317) :args ((= (_ @t261 @t291) @t292))) % 0.42/0.93 (step @p321 :rule symm :premises (@p320)) % 0.42/0.93 (step @p322 :rule refl :args (@t270)) % 0.42/0.93 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 0.42/0.93 (step @p324 :rule refl :args (tptp.sup)) % 0.42/0.93 (step @p325 :rule ho_cong :premises (@p324 @p312)) % 0.42/0.93 (step @p326 :rule ho_cong :premises (@p325 @p307)) % 0.42/0.93 (step @p327 :rule cong :premises (@p326 @p314) :args ((= (_ (_ tptp.sup @t285) tptp.z) @t291))) % 0.42/0.93 (step @p328 :rule symm :premises (@p327)) % 0.42/0.93 (step @p329 :rule refl :args (@t269)) % 0.42/0.93 (step @p330 :rule eq_resolve :premises (@p329 @p328)) % 0.42/0.93 (step @p331 :rule refl :args (tptp.z)) % 0.42/0.93 (step @p332 :rule refl :args (@t264)) % 0.42/0.93 (step @p333 :rule ho_cong :premises (@p332 @p309)) % 0.42/0.93 (step @p334 :rule cong :premises (@p333 @p312) :args ((= (_ @t264 @t284) @t285))) % 0.42/0.93 (step @p335 :rule symm :premises (@p334)) % 0.42/0.93 (step @p336 :rule refl :args (@t265)) % 0.42/0.93 (step @p337 :rule eq_resolve :premises (@p336 @p335)) % 0.42/0.93 (step @p338 :rule refl :args (@t263)) % 0.42/0.93 (step @p339 :rule cong :premises (@p338 @p309) :args ((= @t263 @t284))) % 0.42/0.93 (step @p340 :rule symm :premises (@p339)) % 0.42/0.93 (step @p341 :rule eq_resolve :premises (@p338 @p340)) % 0.42/0.93 (step @p342 :rule refl :args (@t264)) % 0.42/0.93 (step @p343 :rule ho_cong :premises (@p342 @p341)) % 0.42/0.93 (step @p344 :rule trans :premises (@p343 @p337)) % 0.42/0.93 (step @p345 :rule refl :args (tptp.sup)) % 0.42/0.93 (step @p346 :rule ho_cong :premises (@p345 @p344)) % 0.42/0.93 (step @p347 :rule ho_cong :premises (@p346 @p331)) % 0.42/0.93 (step @p348 :rule trans :premises (@p347 @p330)) % 0.42/0.93 (step @p349 :rule refl :args (@t261)) % 0.42/0.93 (step @p350 :rule ho_cong :premises (@p349 @p348)) % 0.42/0.93 (step @p351 :rule trans :premises (@p350 @p323)) % 0.42/0.93 (step @p352 :rule cong :premises (@p351) :args (@t271)) % 0.42/0.93 (step @p353 :rule eq_resolve :premises (@p248 @p352)) % 0.42/0.93 (step @p354 :rule cnf_equiv_pos2 :args (@t295)) % 0.42/0.93 (step @p355 :rule reordering :premises (@p354) :args ((or @t292 @t296 (not @t295)))) % 0.42/0.93 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p304) :args (@t296 @t297 (@list @t292 @t295))) % 0.42/0.93 (step @p357 :rule cnf_or_neg :args (@t294 0)) % 0.42/0.93 (step @p358 :rule chain_m_resolution :premises (@p357 @p356) :args ((not @t293) (@list true) (@list @t294))) % 0.42/0.93 (step @p359 :rule cnf_or_pos :args (@t300)) % 0.42/0.93 (step @p360 :rule reordering :premises (@p359) :args ((or @t293 @t299 (not @t300)))) % 0.42/0.93 (step @p361 :rule chain_m_resolution :premises (@p360 @p358 @p281) :args (@t299 @t297 (@list @t293 @t300))) % 0.42/0.93 (step @p362 :rule refl :args (@t301)) % 0.42/0.93 (step @p363 :rule refl :args (@t51)) % 0.42/0.93 (step @p364 :rule cong :premises (@p363 @p362) :args ((= @t51 @t301))) % 0.42/0.93 (step @p365 :rule symm :premises (@p364)) % 0.42/0.93 (step @p366 :rule eq_resolve :premises (@p363 @p365)) % 0.42/0.93 (step @p367 :rule nary_cong :premises (@p287 @p366) :args (@t302)) % 0.42/0.93 (step @p368 :rule refl :args ((tptp.less @t82 @t12))) % 0.42/0.93 (step @p369 :rule refl :args (@t12)) % 0.42/0.93 (step @p370 :rule refl :args (@t303)) % 0.42/0.93 (step @p371 :rule cong :premises (@p370 @p369) :args (@t304)) % 0.42/0.93 (step @p372 :rule trans :premises (@p371 @p368)) % 0.42/0.93 (step @p373 :rule refl :args (tptp.less)) % 0.42/0.93 (step @p374 :rule ho_cong :premises (@p373 @p370)) % 0.42/0.93 (step @p375 :rule ho_cong :premises (@p374 @p369)) % 0.42/0.93 (step @p376 :rule cong :premises (@p375 @p372) :args ((= (_ (_ tptp.less @t303) @t12) @t304))) % 0.42/0.93 (step @p377 :rule symm :premises (@p376)) % 0.42/0.93 (step @p378 :rule refl :args (@t169)) % 0.42/0.93 (step @p379 :rule eq_resolve :premises (@p378 @p377)) % 0.42/0.93 (step @p380 :rule refl :args (@t82)) % 0.42/0.93 (step @p381 :rule cong :premises (@p380 @p370) :args ((= @t82 @t303))) % 0.42/0.93 (step @p382 :rule symm :premises (@p381)) % 0.42/0.93 (step @p383 :rule eq_resolve :premises (@p380 @p382)) % 0.42/0.93 (step @p384 :rule ho_cong :premises (@p373 @p383)) % 0.42/0.93 (step @p385 :rule ho_cong :premises (@p384 @p369)) % 0.42/0.93 (step @p386 :rule trans :premises (@p385 @p379)) % 0.42/0.93 (step @p387 :rule cong :premises (@p386) :args (@t305)) % 0.42/0.93 (step @p388 :rule nary_cong :premises (@p387 @p367) :args (@t306)) % 0.42/0.93 (step @p389 :rule cong :premises (@p388) :args ((forall @t117 @t306))) % 0.42/0.93 (step @p390 :rule bool-double-not-elim :args (@t51)) % 0.42/0.93 (step @p391 :rule nary_cong :premises (@p284 @p390) :args ((and @t48 (not @t167)))) % 0.42/0.93 (step @p392 :rule bool-implies-de-morgan :args (@t48 @t167)) % 0.42/0.93 (step @p393 :rule trans :premises (@p392 @p391)) % 0.42/0.93 (step @p394 :rule refl :args (@t305)) % 0.42/0.93 (step @p395 :rule nary_cong :premises (@p394 @p393) :args ((or @t305 @t168))) % 0.42/0.93 (step @p396 :rule bool-impl-elim :args (@t169 @t168)) % 0.42/0.93 (step @p397 :rule trans :premises (@p396 @p395)) % 0.42/0.93 (step @p398 :rule cong :premises (@p397) :args (@t170)) % 0.42/0.93 (step @p399 :rule trans :premises (@p398 @p389)) % 0.42/0.93 (step @p400 :rule eq_resolve :premises (@p126 @p399)) % 0.42/0.93 (step @p401 :rule instantiate :premises (@p400) :args ((@list tptp.x @t307 @t285))) % 0.42/0.93 (step @p402 :rule refl :args ((tptp.less @t267 @t265))) % 0.42/0.93 (step @p403 :rule refl :args ((tptp.sup tptp.x @t266))) % 0.42/0.93 (step @p404 :rule refl :args (@t307)) % 0.42/0.93 (step @p405 :rule cong :premises (@p315 @p404) :args (@t308)) % 0.42/0.93 (step @p406 :rule trans :premises (@p405 @p403)) % 0.42/0.93 (step @p407 :rule cong :premises (@p406 @p312) :args (@t309)) % 0.42/0.93 (step @p408 :rule trans :premises (@p407 @p402)) % 0.42/0.93 (step @p409 :rule ho_cong :premises (@p373 @p406)) % 0.42/0.93 (step @p410 :rule ho_cong :premises (@p409 @p312)) % 0.42/0.93 (step @p411 :rule cong :premises (@p410 @p408) :args ((= (_ (_ tptp.less @t308) @t285) @t309))) % 0.42/0.93 (step @p412 :rule symm :premises (@p411)) % 0.42/0.93 (step @p413 :rule refl :args (@t268)) % 0.42/0.93 (step @p414 :rule eq_resolve :premises (@p413 @p412)) % 0.42/0.93 (step @p415 :rule refl :args (@t262)) % 0.42/0.93 (step @p416 :rule ho_cong :premises (@p415 @p404)) % 0.42/0.93 (step @p417 :rule cong :premises (@p416 @p406) :args ((= (_ @t262 @t307) @t308))) % 0.42/0.93 (step @p418 :rule symm :premises (@p417)) % 0.42/0.93 (step @p419 :rule refl :args (@t267)) % 0.42/0.93 (step @p420 :rule eq_resolve :premises (@p419 @p418)) % 0.42/0.93 (step @p421 :rule refl :args (@t266)) % 0.42/0.93 (step @p422 :rule cong :premises (@p421 @p404) :args ((= @t266 @t307))) % 0.42/0.93 (step @p423 :rule symm :premises (@p422)) % 0.42/0.93 (step @p424 :rule eq_resolve :premises (@p421 @p423)) % 0.42/0.93 (step @p425 :rule refl :args (@t262)) % 0.42/0.93 (step @p426 :rule ho_cong :premises (@p425 @p424)) % 0.42/0.93 (step @p427 :rule trans :premises (@p426 @p420)) % 0.42/0.93 (step @p428 :rule refl :args (tptp.less)) % 0.42/0.93 (step @p429 :rule ho_cong :premises (@p428 @p427)) % 0.42/0.93 (step @p430 :rule ho_cong :premises (@p429 @p344)) % 0.42/0.93 (step @p431 :rule trans :premises (@p430 @p414)) % 0.42/0.93 (step @p432 :rule eq_resolve :premises (@p247 @p431)) % 0.42/0.93 (step @p433 :rule cnf_or_pos :args (@t312)) % 0.42/0.93 (step @p434 :rule reordering :premises (@p433) :args ((or @t311 @t310 (not @t312)))) % 0.42/0.93 (step @p435 :rule chain_m_resolution :premises (@p434 @p432 @p401) :args (@t310 (@list false false) (@list @t309 @t312))) % 0.42/0.93 (step @p436 :rule cnf_and_pos :args (@t310 0)) % 0.42/0.93 (step @p437 :rule reordering :premises (@p436) :args ((or @t298 (not @t310)))) % 0.42/0.93 (step @p438 false :rule chain_m_resolution :premises (@p437 @p435 @p361) :args (false (@list false true) (@list @t310 @t298))) % 0.42/0.93 ) % 0.42/0.93 % SZS output end Proof % 0.42/0.93 % cvc5 exiting %------------------------------------------------------------------------------