%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP124^1 : 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 : n009.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 13.72s 13.97s % Output : Proof 13.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP124^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 04:14:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.40/0.56 %----Proving TH0 % 13.72/13.97 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 13.72/13.97 % SZS status Theorem % 13.72/13.97 % SZS output start Proof % 13.72/13.97 ( % 13.72/13.97 (declare-sort tptp.a 0) % 13.72/13.97 (declare-sort tptp.set_a 0) % 13.72/13.97 (declare-sort tptp.set_set_a 0) % 13.72/13.97 (declare-const tptp.member_set_a (-> tptp.set_a tptp.set_set_a Bool)) % 13.72/13.97 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 13.72/13.97 (declare-const tptp.a2 tptp.a) % 13.72/13.97 (declare-const tptp.b tptp.a) % 13.72/13.97 (declare-const tptp.c tptp.a) % 13.72/13.97 (declare-const tptp.finite_finite_set_a (-> tptp.set_set_a Bool)) % 13.72/13.97 (declare-const tptp.set_atLeastAtMost_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.set_a)) % 13.72/13.97 (declare-const tptp.insert_set_a (-> tptp.set_a tptp.set_set_a tptp.set_set_a)) % 13.72/13.97 (declare-const tptp.insert_a (-> tptp.a tptp.set_a tptp.set_a)) % 13.72/13.97 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 13.72/13.97 (declare-const tptp.collect_set_a (-> (-> tptp.set_a Bool) tptp.set_set_a)) % 13.72/13.97 (declare-const tptp.lattic1885654924_set_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 13.72/13.97 (declare-const tptp.abel_semigroup_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 13.72/13.97 (declare-const tptp.semilattice_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 13.72/13.97 (declare-const tptp.finite40241356em_a_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 13.72/13.97 (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)) % 13.72/13.97 (declare-const tptp.greatest_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 13.72/13.97 (declare-const tptp.condit1001553558elow_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 13.72/13.97 (declare-const tptp.sup (-> tptp.a tptp.a tptp.a)) % 13.72/13.97 (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)) % 13.72/13.97 (declare-const tptp.inf (-> tptp.a tptp.a tptp.a)) % 13.72/13.97 (declare-const tptp.less_eq (-> tptp.a tptp.a Bool)) % 13.72/13.97 (declare-const tptp.condit1627435690bove_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool)) % 13.72/13.97 (declare-const tptp.max_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) % 13.72/13.97 (declare-const tptp.min_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a tptp.a)) % 13.72/13.97 (declare-const tptp.least_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a)) % 13.72/13.97 (declare-const tptp.transp_a (-> (-> tptp.a tptp.a Bool) Bool)) % 13.72/13.97 (declare-const tptp.finite_finite_a (-> tptp.set_a Bool)) % 13.72/13.97 (declare-const tptp.antimono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) % 13.72/13.97 (declare-const tptp.mono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool)) % 13.72/13.97 (declare-const tptp.lattic1781219155_fin_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a tptp.a)) % 13.72/13.97 (declare-const tptp.lattic247676691_fin_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a tptp.a)) % 13.72/13.97 (declare-const tptp.bot_bot_set_a tptp.set_a) % 13.72/13.97 (declare-const tptp.set_atLeast_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.set_a)) % 13.72/13.97 (declare-const tptp.set_atMost_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.set_a)) % 13.72/13.97 (declare-const tptp.bot_bot_set_set_a tptp.set_set_a) % 13.72/13.97 (define tptp.semigroup_a () (let ((_let_1 (@var "C3" tptp.a))) (let ((_let_2 (@var "B2" tptp.a))) (let ((_let_3 (@var "F2" (-> tptp.a tptp.a tptp.a)))) (let ((_let_4 (@var "A3" tptp.a))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (= (_ (_ _let_3 (_ _let_5 _let_2)) _let_1) (_ _let_5 (_ (_ _let_3 _let_2) _let_1))))))))))) % 13.72/13.97 (define tptp.ord_le318720350_set_a () (let ((_let_1 (@var "B5" tptp.set_set_a))) (let ((_let_2 (@var "T" tptp.set_a))) (let ((_let_3 (_ tptp.member_set_a _let_2))) (let ((_let_4 (@var "A6" tptp.set_set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 13.72/13.97 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "T" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A6" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 13.72/13.97 (define @t1 () (@var "C" tptp.a)) % 13.72/13.97 (define @t2 () (@var "B" tptp.a)) % 13.72/13.97 (define @t3 () (_ tptp.inf @t2)) % 13.72/13.97 (define @t4 () (_ @t3 @t1)) % 13.72/13.97 (define @t5 () (@var "A" tptp.a)) % 13.72/13.97 (define @t6 () (_ tptp.inf @t5)) % 13.72/13.97 (define @t7 () (_ @t6 @t4)) % 13.72/13.98 (define @t8 () (_ @t6 @t2)) % 13.72/13.98 (define @t9 () (_ tptp.inf @t8)) % 13.72/13.98 (define @t10 () (_ @t9 @t1)) % 13.72/13.98 (define @t11 () (= @t10 @t7)) % 13.72/13.98 (define @t12 () (@list @t5 @t2 @t1)) % 13.72/13.98 (define @t13 () (forall @t12 @t11)) % 13.72/13.98 (define @t14 () (_ @t3 @t5)) % 13.72/13.98 (define @t15 () (= @t8 @t14)) % 13.72/13.98 (define @t16 () (@list @t5 @t2)) % 13.72/13.98 (define @t17 () (forall @t16 @t15)) % 13.72/13.98 (define @t18 () (@list @t2 @t5 @t1)) % 13.72/13.98 (define @t19 () (@var "Z" tptp.a)) % 13.72/13.98 (define @t20 () (@var "Y" tptp.a)) % 13.72/13.98 (define @t21 () (_ tptp.inf @t20)) % 13.72/13.98 (define @t22 () (_ @t21 @t19)) % 13.72/13.98 (define @t23 () (@var "X" tptp.a)) % 13.72/13.98 (define @t24 () (_ tptp.inf @t23)) % 13.72/13.98 (define @t25 () (_ @t24 @t22)) % 13.72/13.98 (define @t26 () (_ @t24 @t20)) % 13.72/13.98 (define @t27 () (_ tptp.inf @t26)) % 13.72/13.98 (define @t28 () (@list @t23 @t20 @t19)) % 13.72/13.98 (define @t29 () (@list @t23 @t20)) % 13.72/13.98 (define @t30 () (_ @t24 @t19)) % 13.72/13.98 (define @t31 () (_ tptp.sup @t2)) % 13.72/13.98 (define @t32 () (_ @t31 @t1)) % 13.72/13.98 (define @t33 () (_ tptp.sup @t5)) % 13.72/13.98 (define @t34 () (_ @t33 @t32)) % 13.72/13.98 (define @t35 () (_ @t33 @t2)) % 13.72/13.98 (define @t36 () (_ tptp.sup @t35)) % 13.72/13.98 (define @t37 () (_ tptp.sup @t20)) % 13.72/13.98 (define @t38 () (_ @t37 @t19)) % 13.72/13.98 (define @t39 () (_ tptp.sup @t23)) % 13.72/13.98 (define @t40 () (_ @t39 @t38)) % 13.72/13.98 (define @t41 () (_ @t39 @t20)) % 13.72/13.98 (define @t42 () (_ @t39 @t19)) % 13.72/13.98 (define @t43 () (_ (_ tptp.inf @t41) @t42)) % 13.72/13.98 (define @t44 () (_ @t39 @t22)) % 13.72/13.98 (define @t45 () (@var "Z2" tptp.a)) % 13.72/13.98 (define @t46 () (@var "X2" tptp.a)) % 13.72/13.98 (define @t47 () (_ tptp.inf @t46)) % 13.72/13.98 (define @t48 () (@var "Y2" tptp.a)) % 13.72/13.98 (define @t49 () (_ @t47 @t48)) % 13.72/13.98 (define @t50 () (@list @t46 @t48 @t45)) % 13.72/13.98 (define @t51 () (_ (_ tptp.sup @t26) @t30)) % 13.72/13.98 (define @t52 () (_ @t24 @t38)) % 13.72/13.98 (define @t53 () (_ tptp.sup @t46)) % 13.72/13.98 (define @t54 () (_ @t53 @t48)) % 13.72/13.98 (define @t55 () (_ tptp.sup @t1)) % 13.72/13.98 (define @t56 () (_ @t55 @t5)) % 13.72/13.98 (define @t57 () (_ (_ tptp.inf @t35) @t32)) % 13.72/13.98 (define @t58 () (_ (_ tptp.inf @t57) @t56)) % 13.72/13.98 (define @t59 () (_ (_ tptp.modula1144073633_aux_a tptp.inf) tptp.sup)) % 13.72/13.98 (define @t60 () (_ (_ (_ @t59 @t5) @t2) @t1)) % 13.72/13.98 (define @t61 () (= @t60 @t58)) % 13.72/13.98 (define @t62 () (forall @t12 @t61)) % 13.72/13.98 (define @t63 () (@list @t5)) % 13.72/13.98 (define @t64 () (@list @t23)) % 13.72/13.98 (define @t65 () (_ tptp.inf @t1)) % 13.72/13.98 (define @t66 () (_ (_ tptp.modula1936294176_aux_a tptp.inf) tptp.sup)) % 13.72/13.98 (define @t67 () (_ (_ (_ @t66 @t5) @t2) @t1)) % 13.72/13.98 (define @t68 () (@list @t2 @t1 @t5)) % 13.72/13.98 (define @t69 () (@list @t1 @t5 @t2)) % 13.72/13.98 (define @t70 () (= @t23 @t20)) % 13.72/13.98 (define @t71 () (_ tptp.less_eq @t20)) % 13.72/13.98 (define @t72 () (_ @t71 @t23)) % 13.72/13.98 (define @t73 () (_ tptp.less_eq @t23)) % 13.72/13.98 (define @t74 () (_ @t73 @t20)) % 13.72/13.98 (define @t75 () (@var "A" tptp.set_a)) % 13.72/13.98 (define @t76 () (@var "P" (-> tptp.set_a Bool))) % 13.72/13.98 (define @t77 () (_ tptp.member_set_a @t75)) % 13.72/13.98 (define @t78 () (@var "P" (-> tptp.a Bool))) % 13.72/13.98 (define @t79 () (_ tptp.collect_a @t78)) % 13.72/13.98 (define @t80 () (_ tptp.member_a @t5)) % 13.72/13.98 (define @t81 () (@var "A2" tptp.set_set_a)) % 13.72/13.98 (define @t82 () (@var "X3" tptp.set_a)) % 13.72/13.98 (define @t83 () (_ tptp.member_set_a @t82)) % 13.72/13.98 (define @t84 () (_ @t83 @t81)) % 13.72/13.98 (define @t85 () (@list @t82)) % 13.72/13.98 (define @t86 () (@list @t81)) % 13.72/13.98 (define @t87 () (@var "A2" tptp.set_a)) % 13.72/13.98 (define @t88 () (@var "X3" tptp.a)) % 13.72/13.98 (define @t89 () (_ tptp.member_a @t88)) % 13.72/13.98 (define @t90 () (_ @t89 @t87)) % 13.72/13.98 (define @t91 () (@list @t88)) % 13.72/13.98 (define @t92 () (@list @t87)) % 13.72/13.98 (define @t93 () (@var "Q" (-> tptp.a Bool))) % 13.72/13.98 (define @t94 () (_ tptp.collect_a @t93)) % 13.72/13.98 (define @t95 () (_ @t93 @t46)) % 13.72/13.98 (define @t96 () (_ @t78 @t46)) % 13.72/13.98 (define @t97 () (@list @t46)) % 13.72/13.98 (define @t98 () (@list @t78 @t93)) % 13.72/13.98 (define @t99 () (@list @t20 @t23)) % 13.72/13.98 (define @t100 () (= @t5 @t2)) % 13.72/13.98 (define @t101 () (_ tptp.less_eq @t5)) % 13.72/13.98 (define @t102 () (_ @t101 @t2)) % 13.72/13.98 (define @t103 () (_ tptp.less_eq @t2)) % 13.72/13.98 (define @t104 () (_ @t103 @t5)) % 13.72/13.98 (define @t105 () (@list @t2 @t5)) % 13.72/13.98 (define @t106 () (@var "B2" tptp.a)) % 13.72/13.98 (define @t107 () (@var "A3" tptp.a)) % 13.72/13.98 (define @t108 () (_ (_ tptp.less_eq @t107) @t106)) % 13.72/13.98 (define @t109 () (_ (_ tptp.less_eq @t106) @t107)) % 13.72/13.98 (define @t110 () (@list @t107 @t106)) % 13.72/13.98 (define @t111 () (@var "Z3" tptp.a)) % 13.72/13.98 (define @t112 () (@var "Y3" tptp.a)) % 13.72/13.98 (define @t113 () (lambda (@list @t112 @t111) (= @t112 @t111))) % 13.72/13.98 (define @t114 () (_ tptp.less_eq @t1)) % 13.72/13.98 (define @t115 () (_ @t114 @t5)) % 13.72/13.98 (define @t116 () (_ @t114 @t2)) % 13.72/13.98 (define @t117 () (@var "Y4" tptp.a)) % 13.72/13.98 (define @t118 () (_ tptp.less_eq @t88)) % 13.72/13.98 (define @t119 () (_ @t118 @t117)) % 13.72/13.98 (define @t120 () (@list @t88 @t117)) % 13.72/13.98 (define @t121 () (_ @t101 @t1)) % 13.72/13.98 (define @t122 () (_ @t103 @t1)) % 13.72/13.98 (define @t123 () (=> @t122 @t121)) % 13.72/13.98 (define @t124 () (= @t2 @t1)) % 13.72/13.98 (define @t125 () (_ @t73 @t19)) % 13.72/13.98 (define @t126 () (_ @t71 @t19)) % 13.72/13.98 (define @t127 () (_ tptp.less_eq @t8)) % 13.72/13.98 (define @t128 () (_ @t127 @t23)) % 13.72/13.98 (define @t129 () (_ @t103 @t23)) % 13.72/13.98 (define @t130 () (_ @t101 @t23)) % 13.72/13.98 (define @t131 () (@list @t5 @t23 @t2)) % 13.72/13.98 (define @t132 () (_ @t73 @t8)) % 13.72/13.98 (define @t133 () (_ @t73 @t2)) % 13.72/13.98 (define @t134 () (_ @t73 @t5)) % 13.72/13.98 (define @t135 () (@list @t23 @t5 @t2)) % 13.72/13.98 (define @t136 () (= @t26 @t23)) % 13.72/13.98 (define @t137 () (@var "F" (-> tptp.a tptp.a tptp.a))) % 13.72/13.98 (define @t138 () (_ @t137 @t23)) % 13.72/13.98 (define @t139 () (_ @t138 @t20)) % 13.72/13.98 (define @t140 () (_ (_ @t137 @t48) @t45)) % 13.72/13.98 (define @t141 () (_ tptp.less_eq @t46)) % 13.72/13.98 (define @t142 () (_ @t141 @t48)) % 13.72/13.98 (define @t143 () (_ (_ @t137 @t46) @t48)) % 13.72/13.98 (define @t144 () (_ tptp.less_eq @t143)) % 13.72/13.98 (define @t145 () (@list @t46 @t48)) % 13.72/13.98 (define @t146 () (@list @t137 @t23 @t20)) % 13.72/13.98 (define @t147 () (@var "D" tptp.a)) % 13.72/13.98 (define @t148 () (_ @t103 @t147)) % 13.72/13.98 (define @t149 () (@list @t5 @t1 @t2 @t147)) % 13.72/13.98 (define @t150 () (_ tptp.less_eq @t26)) % 13.72/13.98 (define @t151 () (_ @t73 @t22)) % 13.72/13.98 (define @t152 () (= @t5 @t8)) % 13.72/13.98 (define @t153 () (_ @t127 @t1)) % 13.72/13.98 (define @t154 () (_ @t101 @t4)) % 13.72/13.98 (define @t155 () (= @t8 @t2)) % 13.72/13.98 (define @t156 () (= @t8 @t5)) % 13.72/13.98 (define @t157 () (_ tptp.less_eq @t48)) % 13.72/13.98 (define @t158 () (_ @t55 @t147)) % 13.72/13.98 (define @t159 () (_ tptp.less_eq @t35)) % 13.72/13.98 (define @t160 () (= @t41 @t20)) % 13.72/13.98 (define @t161 () (= @t5 @t35)) % 13.72/13.98 (define @t162 () (_ @t114 @t35)) % 13.72/13.98 (define @t163 () (_ (_ tptp.less_eq @t32) @t5)) % 13.72/13.98 (define @t164 () (= @t35 @t2)) % 13.72/13.98 (define @t165 () (= @t35 @t5)) % 13.72/13.98 (define @t166 () (_ @t73 @t35)) % 13.72/13.98 (define @t167 () (_ @t159 @t23)) % 13.72/13.98 (define @t168 () (_ (_ tptp.greatest_a tptp.less_eq) @t78)) % 13.72/13.98 (define @t169 () (@var "Y5" tptp.a)) % 13.72/13.98 (define @t170 () (_ @t78 @t169)) % 13.72/13.98 (define @t171 () (@list @t169)) % 13.72/13.98 (define @t172 () (_ @t78 @t48)) % 13.72/13.98 (define @t173 () (@list @t48)) % 13.72/13.98 (define @t174 () (forall @t173 (=> @t172 (_ @t157 @t23)))) % 13.72/13.98 (define @t175 () (_ @t78 @t23)) % 13.72/13.98 (define @t176 () (@list @t78 @t23 @t93)) % 13.72/13.98 (define @t177 () (@list @t78 @t23)) % 13.72/13.98 (define @t178 () (_ (_ (_ tptp.max_a tptp.less_eq) @t5) @t2)) % 13.72/13.98 (define @t179 () (not @t102)) % 13.72/13.98 (define @t180 () (_ (_ (_ tptp.min_a tptp.less_eq) @t5) @t2)) % 13.72/13.98 (define @t181 () (_ (_ tptp.least_a tptp.less_eq) @t78)) % 13.72/13.98 (define @t182 () (@var "X4" tptp.a)) % 13.72/13.98 (define @t183 () (@var "Ya" tptp.a)) % 13.72/13.98 (define @t184 () (exists (@list @t182) (and (_ @t78 @t182) (forall @t173 (=> @t172 (_ (_ tptp.less_eq @t182) @t48))) (forall @t173 (=> (and @t172 (forall (@list @t183) (=> (_ @t78 @t183) (_ @t157 @t183)))) (= @t48 @t182)))))) % 13.72/13.98 (define @t185 () (@list @t78)) % 13.72/13.98 (define @t186 () (forall @t173 (=> @t172 (_ @t73 @t48)))) % 13.72/13.98 (define @t187 () (_ tptp.semigroup_a @t137)) % 13.72/13.98 (define @t188 () (_ tptp.abel_semigroup_a @t137)) % 13.72/13.98 (define @t189 () (@list @t137)) % 13.72/13.98 (define @t190 () (_ tptp.lattic1885654924_set_a @t137)) % 13.72/13.98 (define @t191 () (_ tptp.semilattice_a @t137)) % 13.72/13.98 (define @t192 () (@var "M" tptp.a)) % 13.72/13.98 (define @t193 () (_ tptp.condit1627435690bove_a tptp.less_eq)) % 13.72/13.98 (define @t194 () (_ @t193 @t87)) % 13.72/13.98 (define @t195 () (@var "M2" tptp.a)) % 13.72/13.98 (define @t196 () (_ tptp.condit1001553558elow_a tptp.less_eq)) % 13.72/13.98 (define @t197 () (_ @t196 @t87)) % 13.72/13.98 (define @t198 () (@var "M3" tptp.a)) % 13.72/13.98 (define @t199 () (_ tptp.member_a @t46)) % 13.72/13.98 (define @t200 () (_ @t199 @t87)) % 13.72/13.98 (define @t201 () (@var "M4" tptp.a)) % 13.72/13.98 (define @t202 () (_ @t137 @t2)) % 13.72/13.98 (define @t203 () (_ @t137 @t5)) % 13.72/13.98 (define @t204 () (_ @t203 (_ @t202 @t1))) % 13.72/13.98 (define @t205 () (_ @t203 @t2)) % 13.72/13.98 (define @t206 () (_ @t137 @t205)) % 13.72/13.98 (define @t207 () (@list @t137 @t5 @t2)) % 13.72/13.98 (define @t208 () (@var "C2" tptp.a)) % 13.72/13.98 (define @t209 () (@var "B3" tptp.a)) % 13.72/13.98 (define @t210 () (@var "A4" tptp.a)) % 13.72/13.98 (define @t211 () (_ @t137 @t210)) % 13.72/13.98 (define @t212 () (@var "B4" tptp.set_a)) % 13.72/13.98 (define @t213 () (_ tptp.ord_less_eq_set_a @t87)) % 13.72/13.98 (define @t214 () (_ @t213 @t212)) % 13.72/13.98 (define @t215 () (@list @t212 @t87)) % 13.72/13.98 (define @t216 () (_ tptp.finite_finite_a @t87)) % 13.72/13.98 (define @t217 () (@var "Xa" tptp.a)) % 13.72/13.98 (define @t218 () (= @t46 @t217)) % 13.72/13.98 (define @t219 () (_ (_ tptp.member_a @t217) @t87)) % 13.72/13.98 (define @t220 () (@list @t217)) % 13.72/13.98 (define @t221 () (forall @t220 (=> @t219 (=> (_ @t141 @t217) @t218)))) % 13.72/13.98 (define @t222 () (_ @t80 @t87)) % 13.72/13.98 (define @t223 () (@list @t87 @t5)) % 13.72/13.98 (define @t224 () (forall @t220 (=> @t219 (=> (_ (_ tptp.less_eq @t217) @t46) @t218)))) % 13.72/13.98 (define @t225 () (@var "F" (-> tptp.a tptp.set_a))) % 13.72/13.98 (define @t226 () (_ @t225 @t23)) % 13.72/13.98 (define @t227 () (_ @t225 @t20)) % 13.72/13.98 (define @t228 () (_ (_ tptp.antimono_a_set_a tptp.less_eq) @t225)) % 13.72/13.98 (define @t229 () (@list @t225 @t23 @t20)) % 13.72/13.98 (define @t230 () (_ @t225 @t46)) % 13.72/13.98 (define @t231 () (_ @t225 @t48)) % 13.72/13.98 (define @t232 () (@list @t225)) % 13.72/13.98 (define @t233 () (_ @t225 @t88)) % 13.72/13.98 (define @t234 () (_ @t225 @t117)) % 13.72/13.98 (define @t235 () (_ (_ tptp.mono_a_set_a tptp.less_eq) @t225)) % 13.72/13.98 (define @t236 () (_ tptp.lattic1781219155_fin_a tptp.sup)) % 13.72/13.98 (define @t237 () (_ @t236 @t87)) % 13.72/13.98 (define @t238 () (_ tptp.lattic247676691_fin_a tptp.inf)) % 13.72/13.98 (define @t239 () (_ @t238 @t87)) % 13.72/13.98 (define @t240 () (_ tptp.less_eq @t239)) % 13.72/13.98 (define @t241 () (_ @t39 @t237)) % 13.72/13.98 (define @t242 () (_ tptp.member_a @t23)) % 13.72/13.98 (define @t243 () (_ @t242 @t87)) % 13.72/13.98 (define @t244 () (@list @t87 @t23)) % 13.72/13.98 (define @t245 () (_ @t24 @t239)) % 13.72/13.98 (define @t246 () (= @t87 tptp.bot_bot_set_a)) % 13.72/13.98 (define @t247 () (not @t246)) % 13.72/13.98 (define @t248 () (_ @t236 @t212)) % 13.72/13.98 (define @t249 () (_ tptp.less_eq @t237)) % 13.72/13.98 (define @t250 () (_ tptp.finite_finite_a @t212)) % 13.72/13.98 (define @t251 () (@list @t87 @t212)) % 13.72/13.98 (define @t252 () (_ @t238 @t212)) % 13.72/13.98 (define @t253 () (_ tptp.ord_less_eq_set_a @t212)) % 13.72/13.98 (define @t254 () (_ @t253 @t87)) % 13.72/13.98 (define @t255 () (not (= @t212 tptp.bot_bot_set_a))) % 13.72/13.98 (define @t256 () (_ @t73 @t239)) % 13.72/13.98 (define @t257 () (_ (_ tptp.member_a @t210) @t87)) % 13.72/13.98 (define @t258 () (@list @t210)) % 13.72/13.98 (define @t259 () (@var "A5" tptp.a)) % 13.72/13.98 (define @t260 () (_ (_ tptp.member_a @t259) @t87)) % 13.72/13.98 (define @t261 () (@list @t259)) % 13.72/13.98 (define @t262 () (_ @t249 @t23)) % 13.72/13.98 (define @t263 () (@var "H" tptp.a)) % 13.72/13.98 (define @t264 () (_ tptp.set_atMost_a tptp.less_eq)) % 13.72/13.98 (define @t265 () (@var "L" tptp.a)) % 13.72/13.98 (define @t266 () (_ tptp.set_atLeast_a tptp.less_eq)) % 13.72/13.98 (define @t267 () (_ @t78 @t88)) % 13.72/13.98 (define @t268 () (forall @t91 (not @t267))) % 13.72/13.98 (define @t269 () (= @t81 tptp.bot_bot_set_set_a)) % 13.72/13.98 (define @t270 () (@var "C" tptp.set_a)) % 13.72/13.98 (define @t271 () (_ tptp.member_set_a @t270)) % 13.72/13.98 (define @t272 () (_ tptp.member_a @t1)) % 13.72/13.98 (define @t273 () (= @t87 @t212)) % 13.72/13.98 (define @t274 () (@var "B4" tptp.set_set_a)) % 13.72/13.98 (define @t275 () (_ tptp.ord_le318720350_set_a @t81)) % 13.72/13.98 (define @t276 () (_ @t275 @t274)) % 13.72/13.98 (define @t277 () (@var "X2" tptp.set_a)) % 13.72/13.98 (define @t278 () (_ tptp.member_set_a @t277)) % 13.72/13.98 (define @t279 () (_ @t278 @t81)) % 13.72/13.98 (define @t280 () (@list @t277)) % 13.72/13.98 (define @t281 () (@var "I" tptp.a)) % 13.72/13.98 (define @t282 () (@var "K" tptp.a)) % 13.72/13.98 (define @t283 () (_ tptp.member_a @t281)) % 13.72/13.98 (define @t284 () (@list @t281 @t282)) % 13.72/13.98 (define @t285 () (_ tptp.less_eq @t281)) % 13.72/13.98 (define @t286 () (@var "Y2" tptp.set_a)) % 13.72/13.98 (define @t287 () (_ @t77 @t81)) % 13.72/13.98 (define @t288 () (@list @t81 @t75)) % 13.72/13.98 (define @t289 () (@list @t75)) % 13.72/13.98 (define @t290 () (_ (_ tptp.ord_less_eq_set_a @t79) @t94)) % 13.72/13.98 (define @t291 () (@var "A6" tptp.set_a)) % 13.72/13.98 (define @t292 () (@var "B5" tptp.set_a)) % 13.72/13.98 (define @t293 () (@list @t291 @t292)) % 13.72/13.98 (define @t294 () (@var "Z3" tptp.set_a)) % 13.72/13.98 (define @t295 () (@var "Y3" tptp.set_a)) % 13.72/13.98 (define @t296 () (@var "C4" tptp.set_a)) % 13.72/13.98 (define @t297 () (@var "B5" tptp.set_set_a)) % 13.72/13.98 (define @t298 () (@var "A6" tptp.set_set_a)) % 13.72/13.98 (define @t299 () (@list @t298 @t297)) % 13.72/13.98 (define @t300 () (@var "X" tptp.set_a)) % 13.72/13.98 (define @t301 () (_ tptp.member_set_a @t300)) % 13.72/13.98 (define @t302 () (_ @t301 @t274)) % 13.72/13.98 (define @t303 () (_ @t301 @t81)) % 13.72/13.98 (define @t304 () (_ @t242 @t212)) % 13.72/13.98 (define @t305 () (_ (_ tptp.insert_a @t46) (_ (_ tptp.insert_a @t48) tptp.bot_bot_set_a))) % 13.72/13.98 (define @t306 () (_ tptp.insert_a @t23)) % 13.72/13.98 (define @t307 () (_ @t306 @t87)) % 13.72/13.98 (define @t308 () (=> @t247 (= (_ @t236 @t307) @t241))) % 13.72/13.98 (define @t309 () (not @t243)) % 13.72/13.98 (define @t310 () (=> @t247 (= (_ @t238 @t307) @t245))) % 13.72/13.98 (define @t311 () (_ tptp.insert_set_a @t75)) % 13.72/13.98 (define @t312 () (_ @t311 tptp.bot_bot_set_set_a)) % 13.72/13.98 (define @t313 () (_ tptp.insert_a @t5)) % 13.72/13.98 (define @t314 () (_ @t313 tptp.bot_bot_set_a)) % 13.72/13.98 (define @t315 () (_ tptp.insert_set_a @t300)) % 13.72/13.98 (define @t316 () (@list @t300 @t81 @t274)) % 13.72/13.98 (define @t317 () (@list @t23 @t87 @t212)) % 13.72/13.98 (define @t318 () (_ tptp.insert_a @t2)) % 13.72/13.98 (define @t319 () (_ @t318 tptp.bot_bot_set_a)) % 13.72/13.98 (define @t320 () (and @t100 (_ @t213 @t319))) % 13.72/13.98 (define @t321 () (_ @t313 @t87)) % 13.72/13.98 (define @t322 () (@list @t5 @t87)) % 13.72/13.98 (define @t323 () (_ @t306 tptp.bot_bot_set_a)) % 13.72/13.98 (define @t324 () (@var "X5" tptp.set_a)) % 13.72/13.98 (define @t325 () (@var "B" tptp.set_a)) % 13.72/13.98 (define @t326 () (= @t325 @t75)) % 13.72/13.98 (define @t327 () (_ (_ tptp.member_set_a @t325) @t312)) % 13.72/13.98 (define @t328 () (@list @t325 @t75)) % 13.72/13.98 (define @t329 () (= @t2 @t5)) % 13.72/13.98 (define @t330 () (_ (_ tptp.member_a @t2) @t314)) % 13.72/13.98 (define @t331 () (_ tptp.insert_a @t1)) % 13.72/13.98 (define @t332 () (@list @t5 @t2 @t1 @t147)) % 13.72/13.98 (define @t333 () (@var "D2" tptp.set_a)) % 13.72/13.98 (define @t334 () (_ tptp.set_atLeastAtMost_a tptp.less_eq)) % 13.72/13.98 (define @t335 () (_ @t334 @t5)) % 13.72/13.98 (define @t336 () (_ @t335 @t2)) % 13.72/13.98 (define @t337 () (_ tptp.finite_finite_set_a @t81)) % 13.72/13.98 (define @t338 () (@var "H2" tptp.a)) % 13.72/13.98 (define @t339 () (@var "L2" tptp.a)) % 13.72/13.98 (define @t340 () (_ tptp.less_eq @t339)) % 13.72/13.98 (define @t341 () (_ tptp.less_eq @t265)) % 13.72/13.98 (define @t342 () (not (_ @t341 @t263))) % 13.72/13.98 (define @t343 () (_ @t334 @t265)) % 13.72/13.98 (define @t344 () (_ @t343 @t263)) % 13.72/13.98 (define @t345 () (@var "U" tptp.a)) % 13.72/13.98 (define @t346 () (_ tptp.ord_less_eq_set_a @t344)) % 13.72/13.98 (define @t347 () (_ @t138 @t19)) % 13.72/13.98 (define @t348 () (@var "Xa" tptp.set_a)) % 13.72/13.98 (define @t349 () (_ (_ (_ @t59 tptp.a2) tptp.b) tptp.c)) % 13.72/13.98 (define @t350 () (_ (_ (_ @t59 tptp.b) tptp.c) tptp.a2)) % 13.72/13.98 (define @t351 () (= @t350 @t349)) % 13.72/13.98 (define @t352 () (not @t351)) % 13.72/13.98 (define @t353 () (@var "C3" tptp.a)) % 13.72/13.98 (define @t354 () (@var "F2" (-> tptp.a tptp.a tptp.a))) % 13.72/13.98 (define @t355 () (_ @t354 @t107)) % 13.72/13.98 (define @t356 () (lambda (@list @t354) (forall (@list @t107 @t106 @t353) (= (_ (_ @t354 (_ @t355 @t106)) @t353) (_ @t355 (_ (_ @t354 @t106) @t353)))))) % 13.72/13.98 (define @t357 () (@var "T" tptp.set_a)) % 13.72/13.98 (define @t358 () (_ tptp.member_set_a @t357)) % 13.72/13.98 (define @t359 () (lambda @t299 (forall (@list @t357) (=> (_ @t358 @t298) (_ @t358 @t297))))) % 13.72/13.98 (define @t360 () (@var "T" tptp.a)) % 13.72/13.98 (define @t361 () (_ tptp.member_a @t360)) % 13.72/13.98 (define @t362 () (lambda @t293 (forall (@list @t360) (=> (_ @t361 @t291) (_ @t361 @t292))))) % 13.72/13.98 (define @t363 () (tptp.sup @t1 @t5)) % 13.72/13.98 (define @t364 () (tptp.sup @t2 @t1)) % 13.72/13.98 (define @t365 () (tptp.sup @t5 @t2)) % 13.72/13.98 (define @t366 () (tptp.inf @t365 @t364)) % 13.72/13.98 (define @t367 () (tptp.inf @t366 @t363)) % 13.72/13.98 (define @t368 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup @t5 @t2 @t1)) % 13.72/13.98 (define @t369 () (tptp.inf @t2 @t5)) % 13.72/13.98 (define @t370 () (tptp.inf @t5 @t2)) % 13.72/13.98 (define @t371 () (tptp.sup tptp.a2 tptp.b)) % 13.72/13.98 (define @t372 () (tptp.sup tptp.c tptp.a2)) % 13.72/13.98 (define @t373 () (tptp.sup tptp.b tptp.c)) % 13.72/13.98 (define @t374 () (tptp.inf @t2 @t1)) % 13.72/13.98 (define @t375 () (tptp.inf @t5 @t374)) % 13.72/13.98 (define @t376 () (tptp.inf @t370 @t1)) % 13.72/13.98 (define @t377 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup tptp.b tptp.c tptp.a2)) % 13.72/13.98 (define @t378 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup tptp.a2 tptp.b tptp.c)) % 13.72/13.98 (assume @p1 @t13) % 13.72/13.98 (assume @p2 @t17) % 13.72/13.98 (assume @p3 (forall @t18 (= (_ @t3 (_ @t6 @t1)) @t7))) % 13.72/13.98 (assume @p4 (forall @t28 (= (_ @t27 @t19) @t25))) % 13.72/13.98 (assume @p5 (forall @t29 (= @t26 (_ @t21 @t23)))) % 13.72/13.98 (assume @p6 (forall @t28 (= @t25 (_ @t21 @t30)))) % 13.72/13.98 (assume @p7 (forall @t12 (= (_ @t36 @t1) @t34))) % 13.72/13.98 (assume @p8 (forall @t16 (= @t35 (_ @t31 @t5)))) % 13.72/13.98 (assume @p9 (forall @t18 (= (_ @t31 (_ @t33 @t1)) @t34))) % 13.72/13.98 (assume @p10 (forall @t28 (= (_ (_ tptp.sup @t41) @t19) @t40))) % 13.72/13.98 (assume @p11 (forall @t29 (= @t41 (_ @t37 @t23)))) % 13.72/13.98 (assume @p12 (forall @t28 (= @t40 (_ @t37 @t42)))) % 13.72/13.98 (assume @p13 (forall @t28 (=> (forall @t50 (= (_ @t47 (_ (_ tptp.sup @t48) @t45)) (_ (_ tptp.sup @t49) (_ @t47 @t45)))) (= @t44 @t43)))) % 13.72/13.98 (assume @p14 (forall @t28 (=> (forall @t50 (= (_ @t53 (_ (_ tptp.inf @t48) @t45)) (_ (_ tptp.inf @t54) (_ @t53 @t45)))) (= @t52 @t51)))) % 13.72/13.98 (assume @p15 @t62) % 13.72/13.98 (assume @p16 (forall @t63 (= (_ @t6 @t5) @t5))) % 13.72/13.98 (assume @p17 (forall @t16 (= (_ @t6 @t8) @t8))) % 13.72/13.98 (assume @p18 (forall @t16 (= (_ @t9 @t2) @t8))) % 13.72/13.98 (assume @p19 (forall @t64 (= (_ @t24 @t23) @t23))) % 13.72/13.98 (assume @p20 (forall @t29 (= (_ @t24 @t26) @t26))) % 13.72/13.98 (assume @p21 (forall @t29 (= (_ @t27 @t20) @t26))) % 13.72/13.98 (assume @p22 (forall @t63 (= (_ @t33 @t5) @t5))) % 13.72/13.98 (assume @p23 (forall @t16 (= (_ @t33 @t35) @t35))) % 13.72/13.98 (assume @p24 (forall @t16 (= (_ @t36 @t2) @t35))) % 13.72/13.98 (assume @p25 (forall @t64 (= (_ @t39 @t23) @t23))) % 13.72/13.98 (assume @p26 (forall @t29 (= (_ @t39 @t41) @t41))) % 13.72/13.98 (assume @p27 (forall @t29 (= (_ @t24 @t41) @t23))) % 13.72/13.98 (assume @p28 (forall @t29 (= (_ @t39 @t26) @t23))) % 13.72/13.98 (assume @p29 (forall @t12 (= @t67 (_ (_ tptp.sup (_ (_ tptp.sup @t8) @t4)) (_ @t65 @t5))))) % 13.72/13.98 (assume @p30 (forall @t68 (= (_ (_ (_ @t66 @t2) @t1) @t5) @t67))) % 13.72/13.98 (assume @p31 (forall @t69 (= (_ (_ (_ @t66 @t1) @t5) @t2) @t67))) % 13.72/13.98 (assume @p32 (= tptp.modula1144073633_aux_a tptp.modula1144073633_aux_a)) % 13.72/13.98 (assume @p33 (_ tptp.finite40241356em_a_a tptp.sup)) % 13.72/13.98 (assume @p34 (_ tptp.finite40241356em_a_a tptp.inf)) % 13.72/13.98 (assume @p35 (_ tptp.semigroup_a tptp.sup)) % 13.72/13.98 (assume @p36 (_ tptp.semigroup_a tptp.inf)) % 13.72/13.98 (assume @p37 (_ tptp.semilattice_a tptp.sup)) % 13.72/13.98 (assume @p38 (_ tptp.semilattice_a tptp.inf)) % 13.72/13.98 (assume @p39 (_ tptp.abel_semigroup_a tptp.sup)) % 13.72/13.98 (assume @p40 (_ tptp.abel_semigroup_a tptp.inf)) % 13.72/13.98 (assume @p41 (_ tptp.lattic1885654924_set_a tptp.sup)) % 13.72/13.98 (assume @p42 (_ tptp.lattic1885654924_set_a tptp.inf)) % 13.72/13.98 (assume @p43 (forall @t28 (_ (_ tptp.less_eq @t51) @t52))) % 13.72/13.98 (assume @p44 (forall @t28 (_ (_ tptp.less_eq @t44) @t43))) % 13.72/13.98 (assume @p45 (forall @t29 (=> @t74 (=> @t72 @t70)))) % 13.72/13.98 (assume @p46 (forall (@list @t75 @t76) (= (_ @t77 (_ tptp.collect_set_a @t76)) (_ @t76 @t75)))) % 13.72/13.98 (assume @p47 (forall (@list @t5 @t78) (= (_ @t80 @t79) (_ @t78 @t5)))) % 13.72/13.98 (assume @p48 (forall @t86 (= (_ tptp.collect_set_a (lambda @t85 @t84)) @t81))) % 13.72/13.98 (assume @p49 (forall @t92 (= (_ tptp.collect_a (lambda @t91 @t90)) @t87))) % 13.72/13.98 (assume @p50 (forall @t98 (=> (forall @t97 (= @t96 @t95)) (= @t79 @t94)))) % 13.72/13.98 (assume @p51 (forall @t99 (=> @t72 (= @t74 @t70)))) % 13.72/13.98 (assume @p52 (forall @t105 (=> @t104 (=> @t102 @t100)))) % 13.72/13.98 (assume @p53 (= @t113 (lambda @t110 (and @t109 @t108)))) % 13.72/13.98 (assume @p54 (forall @t18 (=> @t104 (=> @t116 @t115)))) % 13.72/13.98 (assume @p55 (= @t113 (lambda @t120 (and @t119 (_ (_ tptp.less_eq @t117) @t88))))) % 13.72/13.98 (assume @p56 (forall @t29 (=> @t70 @t74))) % 13.72/13.98 (assume @p57 (forall @t12 (=> @t100 @t123))) % 13.72/13.98 (assume @p58 (forall @t12 (=> @t102 (=> @t124 @t121)))) % 13.72/13.98 (assume @p59 (forall @t16 (=> @t102 (=> @t104 @t100)))) % 13.72/13.98 (assume @p60 (= @t113 (lambda @t110 (and @t108 @t109)))) % 13.72/13.98 (assume @p61 (forall @t12 (=> @t102 @t123))) % 13.72/13.98 (assume @p62 (forall @t28 (=> @t74 (=> @t126 @t125)))) % 13.72/13.98 (assume @p63 (forall (@list @t2 @t23 @t5) (=> @t129 @t128))) % 13.72/13.98 (assume @p64 (forall @t131 (=> @t130 @t128))) % 13.72/13.98 (assume @p65 (forall @t135 (=> @t134 (=> @t133 @t132)))) % 13.72/13.98 (assume @p66 (forall @t135 (=> @t132 (not (=> @t134 (not @t133)))))) % 13.72/13.98 (assume @p67 (forall @t29 (= @t74 @t136))) % 13.72/13.98 (assume @p68 (forall @t146 (=> (forall @t145 (_ @t144 @t46)) (=> (forall @t145 (_ @t144 @t48)) (=> (forall @t50 (=> @t142 (=> (_ @t141 @t45) (_ @t141 @t140)))) (= @t26 @t139)))))) % 13.72/13.98 (assume @p69 (forall @t149 (=> @t121 (=> @t148 (_ @t127 (_ @t65 @t147)))))) % 13.72/13.98 (assume @p70 (forall @t29 (_ @t150 @t20))) % 13.72/13.98 (assume @p71 (forall @t29 (_ @t150 @t23))) % 13.72/13.98 (assume @p72 (forall @t28 (=> @t74 (=> @t125 @t151)))) % 13.72/13.98 (assume @p73 (forall @t99 (=> @t72 (= @t26 @t20)))) % 13.72/13.98 (assume @p74 (forall @t29 (=> @t74 @t136))) % 13.72/13.98 (assume @p75 (forall @t16 (= @t102 @t152))) % 13.72/13.98 (assume @p76 (forall @t16 (=> @t152 @t102))) % 13.72/13.98 (assume @p77 (forall @t16 (=> @t102 @t152))) % 13.72/13.98 (assume @p78 (forall @t68 (=> @t122 @t153))) % 13.72/13.98 (assume @p79 (forall (@list @t5 @t1 @t2) (=> @t121 @t153))) % 13.72/13.98 (assume @p80 (forall @t16 (_ @t127 @t2))) % 13.72/13.98 (assume @p81 (forall @t16 (_ @t127 @t5))) % 13.72/13.98 (assume @p82 (forall @t12 (=> @t102 (=> @t121 @t154)))) % 13.72/13.98 (assume @p83 (forall @t12 (=> @t154 (not (=> @t102 (not @t121)))))) % 13.72/13.98 (assume @p84 (forall @t105 (= @t104 @t155))) % 13.72/13.98 (assume @p85 (forall @t16 (= @t102 @t156))) % 13.72/13.98 (assume @p86 (forall @t105 (=> @t104 @t155))) % 13.72/13.98 (assume @p87 (forall @t16 (=> @t102 @t156))) % 13.72/13.98 (assume @p88 (forall @t146 (=> (forall @t145 (_ @t141 @t143)) (=> (forall @t145 (_ @t157 @t143)) (=> (forall @t50 (=> (_ @t157 @t46) (=> (_ (_ tptp.less_eq @t45) @t46) (_ (_ tptp.less_eq @t140) @t46)))) (= @t41 @t139)))))) % 13.72/13.98 (assume @p89 (forall @t149 (=> @t121 (=> @t148 (_ @t159 @t158))))) % 13.72/13.98 (assume @p90 (forall (@list @t20 @t23 @t19) (=> @t72 (=> (_ (_ tptp.less_eq @t19) @t23) (_ (_ tptp.less_eq @t38) @t23))))) % 13.72/13.98 (assume @p91 (forall @t99 (_ @t71 @t41))) % 13.72/13.98 (assume @p92 (forall @t29 (_ @t73 @t41))) % 13.72/13.98 (assume @p93 (forall @t29 (=> @t74 @t160))) % 13.72/13.98 (assume @p94 (forall @t99 (=> @t72 (= @t41 @t23)))) % 13.72/13.98 (assume @p95 (forall @t105 (= @t104 @t161))) % 13.72/13.98 (assume @p96 (forall @t16 (=> @t161 @t104))) % 13.72/13.98 (assume @p97 (forall @t105 (=> @t104 @t161))) % 13.72/13.98 (assume @p98 (forall (@list @t1 @t5 @t147 @t2) (=> @t115 (=> (_ (_ tptp.less_eq @t147) @t2) (_ (_ tptp.less_eq @t158) @t35))))) % 13.72/13.98 (assume @p99 (forall (@list @t1 @t2 @t5) (=> @t116 @t162))) % 13.72/13.98 (assume @p100 (forall @t69 (=> @t115 @t162))) % 13.72/13.98 (assume @p101 (forall @t105 (_ @t103 @t35))) % 13.72/13.98 (assume @p102 (forall @t16 (_ @t101 @t35))) % 13.72/13.98 (assume @p103 (forall @t18 (=> @t104 (=> @t115 @t163)))) % 13.72/13.98 (assume @p104 (forall @t68 (=> @t163 (not (=> @t104 (not @t115)))))) % 13.72/13.98 (assume @p105 (forall @t16 (= @t102 @t164))) % 13.72/13.98 (assume @p106 (forall @t105 (= @t104 @t165))) % 13.72/13.98 (assume @p107 (forall @t16 (=> @t102 @t164))) % 13.72/13.98 (assume @p108 (forall @t105 (=> @t104 @t165))) % 13.72/13.98 (assume @p109 (forall (@list @t23 @t2 @t5) (=> @t133 @t166))) % 13.72/13.98 (assume @p110 (forall @t135 (=> @t134 @t166))) % 13.72/13.98 (assume @p111 (forall @t131 (=> @t130 (=> @t129 @t167)))) % 13.72/13.98 (assume @p112 (forall (@list @t5 @t2 @t23) (=> @t167 (not (=> @t130 (not @t129)))))) % 13.72/13.98 (assume @p113 (forall @t29 (= @t74 @t160))) % 13.72/13.98 (assume @p114 (forall @t63 (_ @t101 @t5))) % 13.72/13.98 (assume @p115 (forall @t64 (_ @t73 @t23))) % 13.72/13.98 (assume @p116 (forall @t176 (=> @t175 (=> @t174 (=> (forall @t97 (=> @t96 (=> (forall @t171 (=> @t170 (_ (_ tptp.less_eq @t169) @t46))) @t95))) (_ @t93 @t168)))))) % 13.72/13.98 (assume @p117 (forall @t177 (=> @t175 (=> @t174 (= @t168 @t23))))) % 13.72/13.98 (assume @p118 (forall @t16 (and (=> @t102 (= @t178 @t2)) (=> @t179 (= @t178 @t5))))) % 13.72/13.98 (assume @p119 (forall @t16 (and (=> @t102 (= @t180 @t5)) (=> @t179 (= @t180 @t2))))) % 13.72/13.98 (assume @p120 (forall @t28 (= @t151 (and @t74 @t125)))) % 13.72/13.98 (assume @p121 (forall @t12 (= @t154 (and @t102 @t121)))) % 13.72/13.98 (assume @p122 (forall @t68 (= @t163 (and @t104 @t115)))) % 13.72/13.98 (assume @p123 (forall @t28 (= (_ (_ tptp.less_eq @t41) @t19) (and @t125 @t126)))) % 13.72/13.98 (assume @p124 (forall @t185 (=> @t184 (_ @t78 @t181)))) % 13.72/13.98 (assume @p125 (forall (@list @t78 @t19) (=> @t184 (=> (_ @t78 @t19) (_ (_ tptp.less_eq @t181) @t19))))) % 13.72/13.98 (assume @p126 (forall @t176 (=> @t175 (=> @t186 (=> (forall @t97 (=> @t96 (=> (forall @t171 (=> @t170 (_ @t141 @t169))) @t95))) (_ @t93 @t181)))))) % 13.72/13.98 (assume @p127 (forall @t177 (=> @t175 (=> @t186 (= @t181 @t23))))) % 13.72/13.98 (assume @p128 (= tptp.modula1936294176_aux_a tptp.modula1936294176_aux_a)) % 13.72/13.98 (assume @p129 (forall @t189 (=> @t188 @t187))) % 13.72/13.98 (assume @p130 (= tptp.lattic1885654924_set_a tptp.semilattice_a)) % 13.72/13.98 (assume @p131 (forall @t189 (=> @t191 @t190))) % 13.72/13.98 (assume @p132 (forall @t189 (=> @t190 @t191))) % 13.72/13.98 (assume @p133 (forall @t189 (=> @t191 @t188))) % 13.72/13.98 (assume @p134 (forall @t92 (= @t194 (exists (@list @t192) (forall @t91 (=> @t90 (_ @t118 @t192))))))) % 13.72/13.98 (assume @p135 (forall @t92 (= @t197 (exists (@list @t195) (forall @t91 (=> @t90 (_ (_ tptp.less_eq @t195) @t88))))))) % 13.72/13.98 (assume @p136 (_ tptp.transp_a tptp.less_eq)) % 13.72/13.98 (assume @p137 (forall (@list @t87 @t198) (=> (forall @t97 (=> @t200 (_ (_ tptp.less_eq @t198) @t46))) @t197))) % 13.72/13.98 (assume @p138 (forall (@list @t87 @t201) (=> (forall @t97 (=> @t200 (_ @t141 @t201))) @t194))) % 13.72/13.98 (assume @p139 (forall (@list @t137 @t2 @t5 @t1) (=> @t188 (= (_ @t202 (_ @t203 @t1)) @t204)))) % 13.72/13.98 (assume @p140 (forall @t207 (=> @t191 (= (_ @t206 @t2) @t205)))) % 13.72/13.98 (assume @p141 (forall @t207 (=> @t191 (= (_ @t203 @t205) @t205)))) % 13.72/13.98 (assume @p142 (forall @t207 (=> @t188 (= @t205 (_ @t202 @t5))))) % 13.72/13.98 (assume @p143 (forall (@list @t137 @t5) (=> @t191 (= (_ @t203 @t5) @t5)))) % 13.72/13.98 (assume @p144 (forall @t189 (=> (forall (@list @t210 @t209 @t208) (= (_ (_ @t137 (_ @t211 @t209)) @t208) (_ @t211 (_ (_ @t137 @t209) @t208)))) @t187))) % 13.72/13.98 (assume @p145 (forall (@list @t137 @t5 @t2 @t1) (=> @t187 (= (_ @t206 @t1) @t204)))) % 13.72/13.98 (assume @p146 (forall @t215 (=> (_ @t196 @t212) (=> @t214 @t197)))) % 13.72/13.98 (assume @p147 (forall @t215 (=> (_ @t193 @t212) (=> @t214 @t194)))) % 13.72/13.98 (assume @p148 (forall @t92 (=> @t216 @t197))) % 13.72/13.98 (assume @p149 (forall @t92 (=> @t216 @t194))) % 13.72/13.98 (assume @p150 (forall @t223 (=> @t216 (=> @t222 (exists @t97 (and @t200 (_ @t101 @t46) @t221)))))) % 13.72/13.98 (assume @p151 (forall @t223 (=> @t216 (=> @t222 (exists @t97 (and @t200 (_ @t141 @t5) @t224)))))) % 13.72/13.98 (assume @p152 (forall @t229 (=> @t228 (=> @t74 (_ (_ tptp.ord_less_eq_set_a @t227) @t226))))) % 13.72/13.98 (assume @p153 (forall @t232 (=> (forall @t145 (=> @t142 (_ (_ tptp.ord_less_eq_set_a @t231) @t230))) @t228))) % 13.72/13.98 (assume @p154 (forall @t232 (= @t228 (forall @t120 (=> @t119 (_ (_ tptp.ord_less_eq_set_a @t234) @t233)))))) % 13.72/13.98 (assume @p155 (forall @t229 (=> @t235 (=> @t74 (_ (_ tptp.ord_less_eq_set_a @t226) @t227))))) % 13.72/13.98 (assume @p156 (forall @t232 (=> (forall @t145 (=> @t142 (_ (_ tptp.ord_less_eq_set_a @t230) @t231))) @t235))) % 13.72/13.98 (assume @p157 (forall @t232 (= @t235 (forall @t120 (=> @t119 (_ (_ tptp.ord_less_eq_set_a @t233) @t234)))))) % 13.72/13.98 (assume @p158 (forall @t223 (=> @t216 (=> @t222 (_ @t101 @t237))))) % 13.72/13.98 (assume @p159 (forall @t223 (=> @t216 (=> @t222 (_ @t240 @t5))))) % 13.72/13.98 (assume @p160 (forall @t244 (=> @t216 (=> @t243 (= @t241 @t237))))) % 13.72/13.98 (assume @p161 (forall @t244 (=> @t216 (=> @t243 (= @t245 @t239))))) % 13.72/13.98 (assume @p162 (forall @t223 (=> @t216 (=> @t222 (= (_ @t6 @t237) @t5))))) % 13.72/13.98 (assume @p163 (forall @t223 (=> @t216 (=> @t222 (= (_ (_ tptp.sup @t239) @t5) @t5))))) % 13.72/13.98 (assume @p164 (= tptp.lattic247676691_fin_a tptp.lattic247676691_fin_a)) % 13.72/13.98 (assume @p165 (= tptp.lattic1781219155_fin_a tptp.lattic1781219155_fin_a)) % 13.72/13.98 (assume @p166 (forall @t92 (=> @t216 (=> @t247 (_ @t240 @t237))))) % 13.72/13.98 (assume @p167 (forall @t251 (=> @t214 (=> @t247 (=> @t250 (_ @t249 @t248)))))) % 13.72/13.98 (assume @p168 (forall @t251 (=> @t214 (=> @t247 (=> @t250 (_ (_ tptp.less_eq @t252) @t239)))))) % 13.72/13.98 (assume @p169 (forall @t92 (=> @t216 (=> @t247 (exists @t97 (and @t200 @t224)))))) % 13.72/13.98 (assume @p170 (forall @t92 (=> @t216 (=> @t247 (exists @t97 (and @t200 @t221)))))) % 13.72/13.98 (assume @p171 (forall @t251 (=> @t216 (=> @t255 (=> @t254 (= (_ (_ tptp.inf @t252) @t239) @t239)))))) % 13.72/13.98 (assume @p172 (forall @t251 (=> @t216 (=> @t255 (=> @t254 (= (_ (_ tptp.sup @t248) @t237) @t237)))))) % 13.72/13.98 (assume @p173 (forall @t244 (=> @t216 (=> @t247 (= @t256 (forall @t91 (=> @t90 (_ @t73 @t88)))))))) % 13.72/13.98 (assume @p174 (forall @t244 (=> @t216 (=> @t247 (=> (forall @t258 (=> @t257 (_ @t73 @t210))) @t256))))) % 13.72/13.98 (assume @p175 (forall @t244 (=> @t216 (=> @t247 (=> @t256 (forall @t261 (=> @t260 (_ @t73 @t259)))))))) % 13.72/13.98 (assume @p176 (forall @t244 (=> @t216 (=> @t247 (= @t262 (forall @t91 (=> @t90 (_ @t118 @t23)))))))) % 13.72/13.98 (assume @p177 (forall @t244 (=> @t216 (=> @t247 (=> (forall @t258 (=> @t257 (_ (_ tptp.less_eq @t210) @t23))) @t262))))) % 13.72/13.98 (assume @p178 (forall @t244 (=> @t216 (=> @t247 (=> @t262 (forall @t261 (=> @t260 (_ (_ tptp.less_eq @t259) @t23)))))))) % 13.72/13.98 (assume @p179 (_ @t193 tptp.bot_bot_set_a)) % 13.72/13.98 (assume @p180 (_ @t196 tptp.bot_bot_set_a)) % 13.72/13.98 (assume @p181 (forall (@list @t263) (not (= tptp.bot_bot_set_a (_ @t264 @t263))))) % 13.72/13.98 (assume @p182 (forall (@list @t265) (not (= tptp.bot_bot_set_a (_ @t266 @t265))))) % 13.72/13.98 (assume @p183 (forall @t92 (= (_ @t213 tptp.bot_bot_set_a) @t246))) % 13.72/13.98 (assume @p184 (forall @t185 (= (= tptp.bot_bot_set_a @t79) @t268))) % 13.72/13.98 (assume @p185 (forall @t185 (= (= @t79 tptp.bot_bot_set_a) @t268))) % 13.72/13.98 (assume @p186 (forall @t86 (= (forall @t85 (not @t84)) @t269))) % 13.72/13.98 (assume @p187 (forall @t92 (= (forall @t91 (not @t90)) @t246))) % 13.72/13.98 (assume @p188 (forall (@list @t270) (not (_ @t271 tptp.bot_bot_set_set_a)))) % 13.72/13.98 (assume @p189 (forall (@list @t1) (not (_ @t272 tptp.bot_bot_set_a)))) % 13.72/13.98 (assume @p190 (forall @t251 (=> @t214 (=> @t254 @t273)))) % 13.72/13.98 (assume @p191 (forall (@list @t81 @t274) (=> (forall @t280 (=> @t279 (_ @t278 @t274))) @t276))) % 13.72/13.98 (assume @p192 (forall @t251 (=> (forall @t97 (=> @t200 (_ @t199 @t212))) @t214))) % 13.72/13.98 (assume @p193 (forall @t92 (_ (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a) @t87))) % 13.72/13.98 (assume @p194 (forall @t284 (= (_ @t283 (_ @t266 @t282)) (_ (_ tptp.less_eq @t282) @t281)))) % 13.72/13.98 (assume @p195 (forall @t284 (= (_ @t283 (_ @t264 @t282)) (_ @t285 @t282)))) % 13.72/13.98 (assume @p196 (forall @t63 (_ @t196 (_ @t266 @t5)))) % 13.72/13.98 (assume @p197 (forall (@list @t2) (_ @t193 (_ @t264 @t2)))) % 13.72/13.98 (assume @p198 (forall @t86 (= (exists @t85 @t84) (not @t269)))) % 13.72/13.98 (assume @p199 (forall @t92 (= (exists @t91 @t90) @t247))) % 13.72/13.98 (assume @p200 (forall @t86 (=> (forall (@list @t286) (not (_ (_ tptp.member_set_a @t286) @t81))) @t269))) % 13.72/13.98 (assume @p201 (forall @t92 (=> (forall @t173 (not (_ (_ tptp.member_a @t48) @t87))) @t246))) % 13.72/13.98 (assume @p202 (forall @t288 (=> @t269 (not @t287)))) % 13.72/13.98 (assume @p203 (forall @t223 (=> @t246 (not @t222)))) % 13.72/13.98 (assume @p204 (forall @t289 (not (_ @t77 tptp.bot_bot_set_set_a)))) % 13.72/13.98 (assume @p205 (forall @t63 (not (_ @t80 tptp.bot_bot_set_a)))) % 13.72/13.98 (assume @p206 (forall @t98 (= @t290 (forall @t91 (=> @t267 (_ @t93 @t88)))))) % 13.72/13.98 (assume @p207 (= (lambda (@list @t295 @t294) (= @t295 @t294)) (lambda @t293 (and (_ (_ tptp.ord_less_eq_set_a @t291) @t292) (_ (_ tptp.ord_less_eq_set_a @t292) @t291))))) % 13.72/13.98 (assume @p208 (forall (@list @t87 @t212 @t296) (=> @t214 (=> (_ @t253 @t296) (_ @t213 @t296))))) % 13.72/13.98 (assume @p209 (forall @t98 (=> (forall @t97 (=> @t96 @t95)) @t290))) % 13.72/13.98 (assume @p210 (forall @t92 (_ @t213 @t87))) % 13.72/13.98 (assume @p211 (forall @t251 (=> @t273 @t254))) % 13.72/13.98 (assume @p212 (forall @t251 (=> @t273 @t214))) % 13.72/13.98 (assume @p213 (= tptp.ord_le318720350_set_a (lambda @t299 (forall @t85 (=> (_ @t83 @t298) (_ @t83 @t297)))))) % 13.72/13.98 (assume @p214 (= tptp.ord_less_eq_set_a (lambda @t293 (forall @t91 (=> (_ @t89 @t291) (_ @t89 @t292)))))) % 13.72/13.98 (assume @p215 (forall @t251 (=> @t273 (not (=> @t214 (not @t254)))))) % 13.72/13.98 (assume @p216 (forall (@list @t81 @t274 @t270) (=> @t276 (=> (_ @t271 @t81) (_ @t271 @t274))))) % 13.72/13.98 (assume @p217 (forall (@list @t87 @t212 @t1) (=> @t214 (=> (_ @t272 @t87) (_ @t272 @t212))))) % 13.72/13.98 (assume @p218 (forall (@list @t81 @t274 @t300) (=> @t276 (=> @t303 @t302)))) % 13.72/13.98 (assume @p219 (forall (@list @t87 @t212 @t23) (=> @t214 (=> @t243 @t304)))) % 13.72/13.98 (assume @p220 (forall @t92 (=> @t216 (=> @t247 (=> (forall @t145 (_ (_ tptp.member_a @t54) @t305)) (_ (_ tptp.member_a @t237) @t87)))))) % 13.72/13.98 (assume @p221 (forall @t244 (=> @t216 (=> @t309 @t308)))) % 13.72/13.98 (assume @p222 (forall @t92 (=> @t216 (=> @t247 (=> (forall @t145 (_ (_ tptp.member_a @t49) @t305)) (_ (_ tptp.member_a @t239) @t87)))))) % 13.72/13.98 (assume @p223 (forall @t244 (=> @t216 (=> @t309 @t310)))) % 13.72/13.98 (assume @p224 (forall @t289 (_ @t77 @t312))) % 13.72/13.98 (assume @p225 (forall @t63 (_ @t80 @t314))) % 13.72/13.98 (assume @p226 (forall @t316 (= (_ (_ tptp.ord_le318720350_set_a (_ @t315 @t81)) @t274) (and @t302 @t276)))) % 13.72/13.98 (assume @p227 (forall @t317 (= (_ (_ tptp.ord_less_eq_set_a @t307) @t212) (and @t304 @t214)))) % 13.72/13.98 (assume @p228 (forall (@list @t5 @t87 @t2) (= (= @t321 @t319) @t320))) % 13.72/13.98 (assume @p229 (forall (@list @t2 @t5 @t87) (= (= @t319 @t321) @t320))) % 13.72/13.98 (assume @p230 (forall @t322 (= (_ @t193 @t321) @t194))) % 13.72/13.98 (assume @p231 (forall @t322 (= (_ @t196 @t321) @t197))) % 13.72/13.98 (assume @p232 (forall @t64 (= (_ @t238 @t323) @t23))) % 13.72/13.98 (assume @p233 (forall @t64 (= (_ @t236 @t323) @t23))) % 13.72/13.98 (assume @p234 (forall @t244 (=> @t216 @t310))) % 13.72/13.98 (assume @p235 (forall @t244 (=> @t216 @t308))) % 13.72/13.98 (assume @p236 (forall @t244 (=> (_ @t213 @t323) (or @t246 (= @t87 @t323))))) % 13.72/13.98 (assume @p237 (forall (@list @t324 @t5) (= (_ (_ tptp.ord_less_eq_set_a @t324) @t314) (or (= @t324 tptp.bot_bot_set_a) (= @t324 @t314))))) % 13.72/13.98 (assume @p238 (forall @t328 (=> @t327 @t326))) % 13.72/13.98 (assume @p239 (forall @t105 (=> @t330 @t329))) % 13.72/13.98 (assume @p240 (forall @t328 (= @t327 @t326))) % 13.72/13.98 (assume @p241 (forall @t105 (= @t330 @t329))) % 13.72/13.98 (assume @p242 (forall @t332 (= (= (_ @t313 @t319) (_ @t331 (_ (_ tptp.insert_a @t147) tptp.bot_bot_set_a))) (or (and (= @t5 @t1) (= @t2 @t147)) (and (= @t5 @t147) @t124))))) % 13.72/13.98 (assume @p243 (forall @t322 (not (= @t321 tptp.bot_bot_set_a)))) % 13.72/13.98 (assume @p244 (forall @t16 (=> (= @t314 @t319) @t100))) % 13.72/13.98 (assume @p245 (forall (@list @t87 @t212 @t2) (=> @t214 (_ @t213 (_ @t318 @t212))))) % 13.72/13.98 (assume @p246 (forall (@list @t212 @t5) (_ @t253 (_ @t313 @t212)))) % 13.72/13.98 (assume @p247 (forall @t316 (=> (not @t303) (= (_ @t275 (_ @t315 @t274)) @t276)))) % 13.72/13.98 (assume @p248 (forall @t317 (=> @t309 (= (_ @t213 (_ @t306 @t212)) @t214)))) % 13.72/13.98 (assume @p249 (forall (@list @t296 @t333 @t5) (=> (_ (_ tptp.ord_less_eq_set_a @t296) @t333) (_ (_ tptp.ord_less_eq_set_a (_ @t313 @t296)) (_ @t313 @t333))))) % 13.72/13.98 (assume @p250 (forall @t16 (=> @t100 (= @t336 @t314)))) % 13.72/13.98 (assume @p251 (forall (@list @t75 @t81) (= (_ tptp.finite_finite_set_a (_ @t311 @t81)) @t337))) % 13.72/13.98 (assume @p252 (forall @t322 (= (_ tptp.finite_finite_a @t321) @t216))) % 13.72/13.98 (assume @p253 (forall (@list @t265 @t263 @t339 @t338) (= (= @t344 (_ (_ @t334 @t339) @t338)) (or (and (= @t265 @t339) (= @t263 @t338)) (and @t342 (not (_ @t340 @t338))))))) % 13.72/13.98 (assume @p254 (forall (@list @t281 @t265 @t345) (= (_ @t283 (_ @t343 @t345)) (and (_ @t341 @t281) (_ @t285 @t345))))) % 13.72/13.98 (assume @p255 (forall @t16 (= (= @t336 tptp.bot_bot_set_a) @t179))) % 13.72/13.98 (assume @p256 (forall @t16 (= (= tptp.bot_bot_set_a @t336) @t179))) % 13.72/13.98 (assume @p257 (forall @t16 (_ @t196 @t336))) % 13.72/13.98 (assume @p258 (forall @t16 (_ @t193 @t336))) % 13.72/13.98 (assume @p259 (forall @t332 (= (_ (_ tptp.ord_less_eq_set_a @t336) (_ (_ @t334 @t1) @t147)) (or @t179 (and @t115 @t148))))) % 13.72/13.98 (assume @p260 (forall @t63 (= (_ @t335 @t5) @t314))) % 13.72/13.98 (assume @p261 (forall @t12 (= (= @t336 (_ @t331 tptp.bot_bot_set_a)) (and @t100 @t124)))) % 13.72/13.98 (assume @p262 (forall (@list @t265 @t263 @t339) (= (_ @t346 (_ @t266 @t339)) (or @t342 (_ @t340 @t265))))) % 13.72/13.98 (assume @p263 (forall (@list @t265 @t263 @t338) (= (_ @t346 (_ @t264 @t338)) (or @t342 (_ (_ tptp.less_eq @t263) @t338))))) % 13.72/13.98 (assume @p264 (forall (@list @t137 @t23 @t19) (=> (_ tptp.finite40241356em_a_a @t137) (= (_ @t138 @t347) @t347)))) % 13.72/13.98 (assume @p265 (forall @t288 (=> @t337 (=> @t287 (exists @t280 (and @t279 (_ (_ tptp.ord_less_eq_set_a @t277) @t75) (forall (@list @t348) (=> (_ (_ tptp.member_set_a @t348) @t81) (=> (_ (_ tptp.ord_less_eq_set_a @t348) @t277) (= @t277 @t348)))))))))) % 13.72/13.98 (assume @p266 @t352) % 13.72/13.98 (assume @p267 true) % 13.72/13.98 (step @p268 (= tptp.semigroup_a @t356) :rule refl :args (@t356)) % 13.72/13.98 (step @p269 (= tptp.ord_le318720350_set_a @t359) :rule refl :args (@t359)) % 13.72/13.98 (step @p270 (= tptp.ord_less_eq_set_a @t362) :rule refl :args (@t362)) % 13.72/13.98 (step @p271 :rule evaluate :args ((= false true))) % 13.72/13.98 (step @p272 :rule refl :args ((tptp.inf @t57 @t56))) % 13.72/13.98 (step @p273 :rule refl :args (@t363)) % 13.72/13.98 (step @p274 :rule refl :args ((tptp.inf @t35 @t32))) % 13.72/13.98 (step @p275 :rule refl :args (@t364)) % 13.72/13.98 (step @p276 :rule refl :args (@t365)) % 13.72/13.98 (step @p277 :rule cong :premises (@p276 @p275) :args (@t366)) % 13.72/13.98 (step @p278 :rule trans :premises (@p277 @p274)) % 13.72/13.98 (step @p279 :rule cong :premises (@p278 @p273) :args (@t367)) % 13.72/13.98 (step @p280 :rule trans :premises (@p279 @p272)) % 13.72/13.98 (step @p281 :rule refl :args (tptp.inf)) % 13.72/13.98 (step @p282 :rule ho_cong :premises (@p281 @p278)) % 13.72/13.98 (step @p283 :rule ho_cong :premises (@p282 @p273)) % 13.72/13.98 (step @p284 :rule cong :premises (@p283 @p280) :args ((= (_ (_ tptp.inf @t366) @t363) @t367))) % 13.72/13.98 (step @p285 :rule symm :premises (@p284)) % 13.72/13.98 (step @p286 :rule refl :args (@t58)) % 13.72/13.98 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 13.72/13.98 (step @p288 :rule refl :args (@t56)) % 13.72/13.98 (step @p289 :rule cong :premises (@p288 @p273) :args ((= @t56 @t363))) % 13.72/13.98 (step @p290 :rule symm :premises (@p289)) % 13.72/13.98 (step @p291 :rule eq_resolve :premises (@p288 @p290)) % 13.72/13.98 (step @p292 :rule ho_cong :premises (@p281 @p276)) % 13.72/13.98 (step @p293 :rule ho_cong :premises (@p292 @p275)) % 13.72/13.98 (step @p294 :rule cong :premises (@p293 @p278) :args ((= (_ (_ tptp.inf @t365) @t364) @t366))) % 13.72/13.98 (step @p295 :rule symm :premises (@p294)) % 13.72/13.98 (step @p296 :rule refl :args (@t57)) % 13.72/13.98 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 13.72/13.98 (step @p298 :rule refl :args (@t32)) % 13.72/13.98 (step @p299 :rule cong :premises (@p298 @p275) :args ((= @t32 @t364))) % 13.72/13.98 (step @p300 :rule symm :premises (@p299)) % 13.72/13.98 (step @p301 :rule eq_resolve :premises (@p298 @p300)) % 13.72/13.98 (step @p302 :rule refl :args (@t35)) % 13.72/13.98 (step @p303 :rule cong :premises (@p302 @p276) :args ((= @t35 @t365))) % 13.72/13.98 (step @p304 :rule symm :premises (@p303)) % 13.72/13.98 (step @p305 :rule eq_resolve :premises (@p302 @p304)) % 13.72/13.98 (step @p306 :rule ho_cong :premises (@p281 @p305)) % 13.72/13.98 (step @p307 :rule ho_cong :premises (@p306 @p301)) % 13.72/13.98 (step @p308 :rule trans :premises (@p307 @p297)) % 13.72/13.98 (step @p309 :rule ho_cong :premises (@p281 @p308)) % 13.72/13.98 (step @p310 :rule ho_cong :premises (@p309 @p291)) % 13.72/13.98 (step @p311 :rule trans :premises (@p310 @p287)) % 13.72/13.98 (step @p312 :rule refl :args (@t368)) % 13.72/13.98 (step @p313 :rule refl :args (@t60)) % 13.72/13.98 (step @p314 :rule cong :premises (@p313 @p312) :args ((= @t60 @t368))) % 13.72/13.98 (step @p315 :rule symm :premises (@p314)) % 13.72/13.98 (step @p316 :rule eq_resolve :premises (@p313 @p315)) % 13.72/13.98 (step @p317 :rule cong :premises (@p316 @p311) :args (@t61)) % 13.72/13.98 (step @p318 :rule cong :premises (@p317) :args (@t62)) % 13.72/13.98 (step @p319 :rule eq_resolve :premises (@p15 @p318)) % 13.72/13.98 (step @p320 :rule instantiate :premises (@p319) :args ((@list tptp.b tptp.c tptp.a2))) % 13.72/13.98 (step @p321 :rule symm :premises (@p320)) % 13.72/13.98 (step @p322 :rule refl :args (@t369)) % 13.72/13.98 (step @p323 :rule refl :args (@t14)) % 13.72/13.98 (step @p324 :rule cong :premises (@p323 @p322) :args ((= @t14 @t369))) % 13.72/13.98 (step @p325 :rule symm :premises (@p324)) % 13.72/13.98 (step @p326 :rule eq_resolve :premises (@p323 @p325)) % 13.72/13.98 (step @p327 :rule refl :args (@t370)) % 13.72/13.98 (step @p328 :rule refl :args (@t8)) % 13.72/13.98 (step @p329 :rule cong :premises (@p328 @p327) :args ((= @t8 @t370))) % 13.72/13.98 (step @p330 :rule symm :premises (@p329)) % 13.72/13.98 (step @p331 :rule eq_resolve :premises (@p328 @p330)) % 13.72/13.98 (step @p332 :rule cong :premises (@p331 @p326) :args (@t15)) % 13.72/13.98 (step @p333 :rule cong :premises (@p332) :args (@t17)) % 13.72/13.98 (step @p334 :rule eq_resolve :premises (@p2 @p333)) % 13.72/13.98 (step @p335 :rule instantiate :premises (@p334) :args ((@list (tptp.inf @t373 @t372) @t371))) % 13.72/13.98 (step @p336 :rule symm :premises (@p335)) % 13.72/13.98 (step @p337 :rule refl :args ((tptp.inf @t5 @t4))) % 13.72/13.98 (step @p338 :rule refl :args (@t374)) % 13.72/13.98 (step @p339 :rule refl :args (@t5)) % 13.72/13.98 (step @p340 :rule cong :premises (@p339 @p338) :args (@t375)) % 13.72/13.98 (step @p341 :rule trans :premises (@p340 @p337)) % 13.72/13.98 (step @p342 :rule refl :args (@t6)) % 13.72/13.98 (step @p343 :rule ho_cong :premises (@p342 @p338)) % 13.72/13.98 (step @p344 :rule cong :premises (@p343 @p341) :args ((= (_ @t6 @t374) @t375))) % 13.72/13.98 (step @p345 :rule symm :premises (@p344)) % 13.72/13.98 (step @p346 :rule refl :args (@t7)) % 13.72/13.98 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 13.72/13.98 (step @p348 :rule refl :args (@t4)) % 13.72/13.98 (step @p349 :rule cong :premises (@p348 @p338) :args ((= @t4 @t374))) % 13.72/13.98 (step @p350 :rule symm :premises (@p349)) % 13.72/13.98 (step @p351 :rule eq_resolve :premises (@p348 @p350)) % 13.72/13.98 (step @p352 :rule ho_cong :premises (@p342 @p351)) % 13.72/13.98 (step @p353 :rule trans :premises (@p352 @p347)) % 13.72/13.98 (step @p354 :rule refl :args ((tptp.inf @t8 @t1))) % 13.72/13.98 (step @p355 :rule refl :args (@t1)) % 13.72/13.98 (step @p356 :rule cong :premises (@p327 @p355) :args (@t376)) % 13.72/13.98 (step @p357 :rule trans :premises (@p356 @p354)) % 13.72/13.98 (step @p358 :rule ho_cong :premises (@p281 @p327)) % 13.72/13.98 (step @p359 :rule ho_cong :premises (@p358 @p355)) % 13.72/13.98 (step @p360 :rule cong :premises (@p359 @p357) :args ((= (_ (_ tptp.inf @t370) @t1) @t376))) % 13.72/13.98 (step @p361 :rule symm :premises (@p360)) % 13.72/13.98 (step @p362 :rule refl :args (@t10)) % 13.72/13.98 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 13.72/13.98 (step @p364 :rule ho_cong :premises (@p281 @p331)) % 13.72/13.98 (step @p365 :rule ho_cong :premises (@p364 @p355)) % 13.72/13.98 (step @p366 :rule trans :premises (@p365 @p363)) % 13.72/13.98 (step @p367 :rule cong :premises (@p366 @p353) :args (@t11)) % 13.72/13.98 (step @p368 :rule cong :premises (@p367) :args (@t13)) % 13.72/13.98 (step @p369 :rule eq_resolve :premises (@p1 @p368)) % 13.72/13.98 (step @p370 :rule instantiate :premises (@p369) :args ((@list @t371 @t373 @t372))) % 13.72/13.98 (step @p371 :rule instantiate :premises (@p319) :args ((@list tptp.a2 tptp.b tptp.c))) % 13.72/13.98 (step @p372 :rule trans :premises (@p371 @p370 @p336 @p321)) % 13.72/13.98 (step @p373 :rule true_intro :premises (@p372)) % 13.72/13.98 (step @p374 :rule eq-symm :args (@t377 @t378)) % 13.72/13.98 (step @p375 :rule refl :args (@t378)) % 13.72/13.98 (step @p376 :rule refl :args (@t349)) % 13.72/13.98 (step @p377 :rule cong :premises (@p376 @p375) :args ((= @t349 @t378))) % 13.72/13.98 (step @p378 :rule symm :premises (@p377)) % 13.72/13.98 (step @p379 :rule eq_resolve :premises (@p376 @p378)) % 13.72/13.98 (step @p380 :rule refl :args (@t377)) % 13.72/13.98 (step @p381 :rule refl :args (@t350)) % 13.72/13.98 (step @p382 :rule cong :premises (@p381 @p380) :args ((= @t350 @t377))) % 13.72/13.98 (step @p383 :rule symm :premises (@p382)) % 13.72/13.98 (step @p384 :rule eq_resolve :premises (@p381 @p383)) % 13.72/13.98 (step @p385 :rule cong :premises (@p384 @p379) :args (@t351)) % 13.72/13.98 (step @p386 :rule trans :premises (@p385 @p374)) % 13.72/13.98 (step @p387 :rule cong :premises (@p386) :args (@t352)) % 13.72/13.98 (step @p388 :rule eq_resolve :premises (@p266 @p387)) % 13.72/13.98 (step @p389 :rule false_intro :premises (@p388)) % 13.72/13.98 (step @p390 :rule symm :premises (@p389)) % 13.72/13.98 (step @p391 :rule trans :premises (@p390 @p373)) % 13.72/13.98 (step @p392 false :rule eq_resolve :premises (@p391 @p271)) % 13.72/13.98 ) % 13.72/13.98 % SZS output end Proof % 13.72/13.98 % cvc5 exiting %------------------------------------------------------------------------------