%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL953^8 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:15 AM UTC 2026 % Result : Theorem 0.28s 0.57s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL953^8 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n004.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 16:52:30 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TH0 % 0.28/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.57 % SZS status Theorem % 0.28/0.57 % SZS output start Proof % 0.28/0.57 ( % 0.28/0.57 (declare-sort $$unsorted 0) % 0.28/0.57 (declare-sort tptp.mworld 0) % 0.28/0.57 (declare-const tptp.mactual tptp.mworld) % 0.28/0.57 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.28/0.57 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 0.28/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.28/0.57 (declare-const tptp.empty (-> $$unsorted tptp.mworld Bool)) % 0.28/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.28/0.57 (declare-const tptp.disjoint (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.28/0.57 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.28/0.57 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.28/0.57 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.28/0.57 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.28/0.57 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.28/0.57 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.28/0.57 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.28/0.57 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.28/0.57 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.28/0.57 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.28/0.57 (define @t1 () (@var "W" tptp.mworld)) % 0.28/0.57 (define @t2 () (_ tptp.mrel @t1)) % 0.28/0.57 (define @t3 () (@list @t1)) % 0.28/0.57 (define @t4 () (@var "X" $$unsorted)) % 0.28/0.57 (define @t5 () (_ (_ tptp.eiw_di @t4) @t1)) % 0.28/0.57 (define @t6 () (@list @t4)) % 0.28/0.57 (define @t7 () (@var "__flatten_var_0" tptp.mworld)) % 0.28/0.57 (define @t8 () (@var "A" $$unsorted)) % 0.28/0.57 (define @t9 () (@var "B" $$unsorted)) % 0.28/0.57 (define @t10 () (@list @t9 @t7)) % 0.28/0.57 (define @t11 () (@list @t8 @t7)) % 0.28/0.57 (define @t12 () (_ (_ tptp.in @t8) @t9)) % 0.28/0.57 (define @t13 () (_ tptp.mbox @t12)) % 0.28/0.57 (define @t14 () (_ tptp.mbox (_ tptp.empty @t8))) % 0.28/0.57 (define @t15 () (_ tptp.singleton @t8)) % 0.28/0.57 (define @t16 () (_ (_ tptp.disjoint @t15) @t9)) % 0.28/0.57 (define @t17 () (lambda @t10 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ tptp.mnot @t13))) (_ tptp.mbox @t16))) @t7))) % 0.28/0.57 (define @t18 () (lambda @t11 (_ (_ tptp.mbox (_ tptp.mforall_di @t17)) @t7))) % 0.28/0.57 (define @t19 () (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t18)))) % 0.28/0.57 (define @t20 () (not @t19)) % 0.28/0.57 (define @t21 () (@var "Phi" (-> tptp.mworld Bool))) % 0.28/0.57 (define @t22 () (lambda (@list @t21) (_ @t21 tptp.mactual))) % 0.28/0.57 (define @t23 () (@var "A" (-> tptp.mworld Bool))) % 0.28/0.57 (define @t24 () (_ @t23 @t1)) % 0.28/0.57 (define @t25 () (lambda (@list @t23 @t1) (not @t24))) % 0.28/0.57 (define @t26 () (@var "B" (-> tptp.mworld Bool))) % 0.28/0.57 (define @t27 () (_ @t26 @t1)) % 0.28/0.57 (define @t28 () (@list @t23 @t26 @t1)) % 0.28/0.57 (define @t29 () (lambda @t28 (and @t24 @t27))) % 0.28/0.57 (define @t30 () (lambda @t28 (or @t24 @t27))) % 0.28/0.57 (define @t31 () (lambda @t28 (=> @t24 @t27))) % 0.28/0.57 (define @t32 () (lambda @t28 (= @t24 @t27))) % 0.28/0.57 (define @t33 () (@var "V" tptp.mworld)) % 0.28/0.57 (define @t34 () (_ @t21 @t33)) % 0.28/0.57 (define @t35 () (_ @t2 @t33)) % 0.28/0.57 (define @t36 () (@list @t33)) % 0.28/0.57 (define @t37 () (forall @t36 (=> @t35 @t34))) % 0.28/0.57 (define @t38 () (@list @t21 @t1)) % 0.28/0.57 (define @t39 () (lambda @t38 @t37)) % 0.28/0.57 (define @t40 () (lambda @t38 (exists @t36 (and @t35 @t34)))) % 0.28/0.57 (define @t41 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.28/0.57 (define @t42 () (_ (_ @t41 @t4) @t1)) % 0.28/0.57 (define @t43 () (forall @t6 (=> @t5 @t42))) % 0.28/0.57 (define @t44 () (@list @t41 @t1)) % 0.28/0.57 (define @t45 () (lambda @t44 @t43)) % 0.28/0.57 (define @t46 () (lambda @t44 (exists @t6 (and @t5 @t42)))) % 0.28/0.57 (define @t47 () (@var "BOUND_VARIABLE_8704" tptp.mworld)) % 0.28/0.57 (define @t48 () (@var "BOUND_VARIABLE_8700" $$unsorted)) % 0.28/0.57 (define @t49 () (@var "BOUND_VARIABLE_8696" $$unsorted)) % 0.28/0.57 (define @t50 () (tptp.disjoint (tptp.singleton @t49) @t48 @t47)) % 0.28/0.57 (define @t51 () (@var "BOUND_VARIABLE_8702" tptp.mworld)) % 0.28/0.57 (define @t52 () (not (tptp.mrel @t51 @t47))) % 0.28/0.57 (define @t53 () (@var "BOUND_VARIABLE_8444" tptp.mworld)) % 0.28/0.57 (define @t54 () (@var "BOUND_VARIABLE_8504" tptp.mworld)) % 0.28/0.57 (define @t55 () (not (tptp.mrel @t54 @t53))) % 0.28/0.57 (define @t56 () (@list @t53)) % 0.28/0.57 (define @t57 () (@list @t54)) % 0.28/0.57 (define @t58 () (not (forall @t57 (or (not (tptp.mrel @t51 @t54)) (not (forall @t56 (or @t55 (tptp.in @t49 @t48 @t53)))))))) % 0.28/0.57 (define @t59 () (@var "BOUND_VARIABLE_8698" tptp.mworld)) % 0.28/0.57 (define @t60 () (not (tptp.mrel @t59 @t51))) % 0.28/0.57 (define @t61 () (not (tptp.eiw_di @t48 @t59))) % 0.28/0.57 (define @t62 () (not (tptp.mrel @t33 @t59))) % 0.28/0.57 (define @t63 () (not (tptp.eiw_di @t49 @t33))) % 0.28/0.57 (define @t64 () (@list @t33 @t49 @t59 @t48 @t51 @t47)) % 0.28/0.57 (define @t65 () (tptp.mrel @t1 @t33)) % 0.28/0.57 (define @t66 () (not @t65)) % 0.28/0.57 (define @t67 () (or @t66 @t63 @t62 @t61 @t60 @t58 @t52 @t50)) % 0.28/0.57 (define @t68 () (lambda @t3 (forall @t64 @t67))) % 0.28/0.57 (define @t69 () (_ @t68 tptp.mactual)) % 0.28/0.57 (define @t70 () (or @t63 @t62 @t61 @t60 @t58 @t52 @t50)) % 0.28/0.57 (define @t71 () (or @t66 @t70)) % 0.28/0.57 (define @t72 () (forall @t64 @t71)) % 0.28/0.57 (define @t73 () (@list @t49 @t59 @t48 @t51 @t47)) % 0.28/0.57 (define @t74 () (forall @t73 @t71)) % 0.28/0.57 (define @t75 () (forall @t73 @t70)) % 0.28/0.57 (define @t76 () (@var "BOUND_VARIABLE_8658" tptp.mworld)) % 0.28/0.57 (define @t77 () (@var "BOUND_VARIABLE_8656" tptp.mworld)) % 0.28/0.57 (define @t78 () (@var "BOUND_VARIABLE_8654" $$unsorted)) % 0.28/0.57 (define @t79 () (@var "BOUND_VARIABLE_8652" tptp.mworld)) % 0.28/0.57 (define @t80 () (or @t66 @t75)) % 0.28/0.57 (define @t81 () (tptp.singleton @t4)) % 0.28/0.57 (define @t82 () (tptp.disjoint @t81 @t78 @t76)) % 0.28/0.57 (define @t83 () (not (tptp.mrel @t77 @t76))) % 0.28/0.57 (define @t84 () (not (forall @t57 (or (not (tptp.mrel @t77 @t54)) (not (forall @t56 (or @t55 (tptp.in @t4 @t78 @t53)))))))) % 0.28/0.57 (define @t85 () (not (tptp.mrel @t79 @t77))) % 0.28/0.57 (define @t86 () (not (tptp.eiw_di @t78 @t79))) % 0.28/0.57 (define @t87 () (not (tptp.eiw_di @t4 @t33))) % 0.28/0.57 (define @t88 () (@list @t4 @t79 @t78 @t77 @t76)) % 0.28/0.57 (define @t89 () (forall @t88 (or @t87 (not (tptp.mrel @t33 @t79)) @t86 @t85 @t84 @t83 @t82))) % 0.28/0.57 (define @t90 () (not (tptp.mrel @t1 @t79))) % 0.28/0.57 (define @t91 () (tptp.eiw_di @t4 @t1)) % 0.28/0.57 (define @t92 () (not @t91)) % 0.28/0.57 (define @t93 () (or @t92 @t90 @t86 @t85 @t84 @t83 @t82)) % 0.28/0.57 (define @t94 () (lambda @t3 (forall @t88 @t93))) % 0.28/0.57 (define @t95 () (_ @t94 @t33)) % 0.28/0.57 (define @t96 () (or @t66 @t95)) % 0.28/0.57 (define @t97 () (forall @t36 @t96)) % 0.28/0.57 (define @t98 () (lambda @t3 @t97)) % 0.28/0.57 (define @t99 () (_ @t21 @t33)) % 0.28/0.57 (define @t100 () (lambda @t38 (forall @t36 (or @t66 @t99)))) % 0.28/0.57 (define @t101 () (or @t90 @t86 @t85 @t84 @t83 @t82)) % 0.28/0.57 (define @t102 () (or @t92 @t101)) % 0.28/0.57 (define @t103 () (forall @t88 @t102)) % 0.28/0.57 (define @t104 () (@list @t79 @t78 @t77 @t76)) % 0.28/0.57 (define @t105 () (forall @t104 @t102)) % 0.28/0.57 (define @t106 () (forall @t104 @t101)) % 0.28/0.57 (define @t107 () (@var "BOUND_VARIABLE_8604" tptp.mworld)) % 0.28/0.57 (define @t108 () (@var "BOUND_VARIABLE_8602" tptp.mworld)) % 0.28/0.57 (define @t109 () (@var "BOUND_VARIABLE_8600" $$unsorted)) % 0.28/0.57 (define @t110 () (or @t92 @t106)) % 0.28/0.57 (define @t111 () (not (tptp.mrel @t108 @t107))) % 0.28/0.57 (define @t112 () (not (tptp.mrel @t108 @t54))) % 0.28/0.57 (define @t113 () (not (tptp.mrel @t33 @t108))) % 0.28/0.57 (define @t114 () (not (tptp.eiw_di @t109 @t33))) % 0.28/0.57 (define @t115 () (@list @t33 @t109 @t108 @t107)) % 0.28/0.57 (define @t116 () (forall @t115 (or @t66 @t114 @t113 (not (forall @t57 (or @t112 (not (forall @t56 (or @t55 (tptp.in @t4 @t109 @t53))))))) @t111 (tptp.disjoint @t81 @t109 @t107)))) % 0.28/0.57 (define @t117 () (tptp.singleton @t8)) % 0.28/0.57 (define @t118 () (tptp.disjoint @t117 @t109 @t107)) % 0.28/0.57 (define @t119 () (not (forall @t57 (or @t112 (not (forall @t56 (or @t55 (tptp.in @t8 @t109 @t53)))))))) % 0.28/0.57 (define @t120 () (not (tptp.mrel @t7 @t33))) % 0.28/0.57 (define @t121 () (forall @t115 (or @t120 @t114 @t113 @t119 @t111 @t118))) % 0.28/0.57 (define @t122 () (lambda @t11 @t121)) % 0.28/0.57 (define @t123 () (_ @t122 @t4 @t1)) % 0.28/0.57 (define @t124 () (or @t92 @t123)) % 0.28/0.57 (define @t125 () (forall @t6 @t124)) % 0.28/0.57 (define @t126 () (lambda @t3 @t125)) % 0.28/0.57 (define @t127 () (_ @t41 @t4 @t1)) % 0.28/0.57 (define @t128 () (lambda @t44 (forall @t6 (or @t92 @t127)))) % 0.28/0.57 (define @t129 () (or @t66 @t114 @t113 @t119 @t111 @t118)) % 0.28/0.57 (define @t130 () (or @t114 @t113 @t119 @t111 @t118)) % 0.28/0.57 (define @t131 () (or @t66 @t130)) % 0.28/0.57 (define @t132 () (forall @t115 @t131)) % 0.28/0.57 (define @t133 () (@list @t109 @t108 @t107)) % 0.28/0.57 (define @t134 () (forall @t133 @t131)) % 0.28/0.57 (define @t135 () (forall @t133 @t130)) % 0.28/0.57 (define @t136 () (@var "BOUND_VARIABLE_8570" tptp.mworld)) % 0.28/0.57 (define @t137 () (@var "BOUND_VARIABLE_8568" tptp.mworld)) % 0.28/0.57 (define @t138 () (or @t66 @t135)) % 0.28/0.57 (define @t139 () (tptp.disjoint @t117 @t4 @t136)) % 0.28/0.57 (define @t140 () (not (tptp.mrel @t137 @t136))) % 0.28/0.57 (define @t141 () (not (forall @t56 (or @t55 (tptp.in @t8 @t4 @t53))))) % 0.28/0.57 (define @t142 () (not (forall @t57 (or (not (tptp.mrel @t137 @t54)) @t141)))) % 0.28/0.57 (define @t143 () (@list @t4 @t137 @t136)) % 0.28/0.57 (define @t144 () (forall @t143 (or @t87 (not (tptp.mrel @t33 @t137)) @t142 @t140 @t139))) % 0.28/0.57 (define @t145 () (not (tptp.mrel @t1 @t137))) % 0.28/0.57 (define @t146 () (or @t92 @t145 @t142 @t140 @t139)) % 0.28/0.57 (define @t147 () (lambda @t3 (forall @t143 @t146))) % 0.28/0.57 (define @t148 () (_ @t147 @t33)) % 0.28/0.57 (define @t149 () (or @t66 @t148)) % 0.28/0.57 (define @t150 () (forall @t36 @t149)) % 0.28/0.57 (define @t151 () (lambda @t3 @t150)) % 0.28/0.57 (define @t152 () (or @t145 @t142 @t140 @t139)) % 0.28/0.57 (define @t153 () (or @t92 @t152)) % 0.28/0.57 (define @t154 () (forall @t143 @t153)) % 0.28/0.57 (define @t155 () (@list @t137 @t136)) % 0.28/0.57 (define @t156 () (forall @t155 @t153)) % 0.28/0.57 (define @t157 () (forall @t155 @t152)) % 0.28/0.57 (define @t158 () (@var "BOUND_VARIABLE_8534" tptp.mworld)) % 0.28/0.57 (define @t159 () (or @t92 @t157)) % 0.28/0.57 (define @t160 () (not (tptp.mrel @t33 @t158))) % 0.28/0.57 (define @t161 () (not (tptp.mrel @t33 @t54))) % 0.28/0.57 (define @t162 () (@list @t33 @t158)) % 0.28/0.57 (define @t163 () (forall @t162 (or @t66 (not (forall @t57 (or @t161 @t141))) @t160 (tptp.disjoint @t117 @t4 @t158)))) % 0.28/0.57 (define @t164 () (tptp.disjoint @t117 @t9 @t158)) % 0.28/0.57 (define @t165 () (tptp.in @t8 @t9 @t53)) % 0.28/0.57 (define @t166 () (not (forall @t56 (or @t55 @t165)))) % 0.28/0.57 (define @t167 () (forall @t57 (or @t161 @t166))) % 0.28/0.57 (define @t168 () (not @t167)) % 0.28/0.57 (define @t169 () (forall @t162 (or @t120 @t168 @t160 @t164))) % 0.28/0.57 (define @t170 () (lambda @t10 @t169)) % 0.28/0.57 (define @t171 () (_ @t170 @t4 @t1)) % 0.28/0.57 (define @t172 () (or @t92 @t171)) % 0.28/0.57 (define @t173 () (forall @t6 @t172)) % 0.28/0.57 (define @t174 () (lambda @t3 @t173)) % 0.28/0.57 (define @t175 () (or @t66 @t168 @t160 @t164)) % 0.28/0.57 (define @t176 () (or @t160 @t164)) % 0.28/0.57 (define @t177 () (or @t66 @t168 @t176)) % 0.28/0.57 (define @t178 () (forall @t162 @t177)) % 0.28/0.57 (define @t179 () (@list @t158)) % 0.28/0.57 (define @t180 () (forall @t179 @t177)) % 0.28/0.57 (define @t181 () (forall @t179 @t176)) % 0.28/0.57 (define @t182 () (@var "BOUND_VARIABLE_8496" tptp.mworld)) % 0.28/0.57 (define @t183 () (@list @t182)) % 0.28/0.57 (define @t184 () (or @t66 @t168 @t181)) % 0.28/0.57 (define @t185 () (tptp.disjoint @t117 @t9 @t182)) % 0.28/0.57 (define @t186 () (@list @t182)) % 0.28/0.57 (define @t187 () (forall @t186 (or (not (tptp.mrel @t33 @t182)) @t185))) % 0.28/0.57 (define @t188 () (or @t66 @t168 @t187)) % 0.28/0.57 (define @t189 () (=> @t167 @t187)) % 0.28/0.57 (define @t190 () (or @t66 @t189)) % 0.28/0.57 (define @t191 () (tptp.disjoint @t117 @t9 @t33)) % 0.28/0.57 (define @t192 () (forall @t36 (or @t66 @t191))) % 0.28/0.57 (define @t193 () (@list @t33)) % 0.28/0.57 (define @t194 () (not (forall @t56 (or (not (tptp.mrel @t33 @t53)) @t165)))) % 0.28/0.57 (define @t195 () (forall @t36 (or @t66 @t194))) % 0.28/0.57 (define @t196 () (=> @t195 @t192)) % 0.28/0.57 (define @t197 () (lambda @t3 @t196)) % 0.28/0.57 (define @t198 () (or @t66 (_ @t197 @t33))) % 0.28/0.57 (define @t199 () (forall @t36 @t198)) % 0.28/0.57 (define @t200 () (lambda @t3 @t199)) % 0.28/0.57 (define @t201 () (lambda @t3 @t192)) % 0.28/0.57 (define @t202 () (_ @t201 @t1)) % 0.28/0.57 (define @t203 () (=> @t195 @t202)) % 0.28/0.57 (define @t204 () (lambda @t3 @t203)) % 0.28/0.57 (define @t205 () (@list @t26 @t1)) % 0.28/0.57 (define @t206 () (_ @t16 @t33)) % 0.28/0.57 (define @t207 () (or @t66 @t206)) % 0.28/0.57 (define @t208 () (_ @t16 @t33)) % 0.28/0.57 (define @t209 () (or @t66 @t208)) % 0.28/0.57 (define @t210 () (forall @t36 @t209)) % 0.28/0.57 (define @t211 () (lambda @t3 @t210)) % 0.28/0.57 (define @t212 () (_ @t100 @t16)) % 0.28/0.57 (define @t213 () (lambda @t3 @t195)) % 0.28/0.57 (define @t214 () (_ @t213 @t1)) % 0.28/0.57 (define @t215 () (=> @t214 @t27)) % 0.28/0.57 (define @t216 () (lambda @t205 @t215)) % 0.28/0.57 (define @t217 () (tptp.in @t8 @t9 @t33)) % 0.28/0.57 (define @t218 () (forall @t36 (or @t66 @t217))) % 0.28/0.57 (define @t219 () (not @t218)) % 0.28/0.57 (define @t220 () (lambda @t3 @t219)) % 0.28/0.57 (define @t221 () (or @t66 (_ @t220 @t33))) % 0.28/0.57 (define @t222 () (forall @t36 @t221)) % 0.28/0.57 (define @t223 () (lambda @t3 @t222)) % 0.28/0.57 (define @t224 () (lambda @t3 @t218)) % 0.28/0.57 (define @t225 () (_ @t224 @t1)) % 0.28/0.57 (define @t226 () (not @t225)) % 0.28/0.57 (define @t227 () (lambda @t3 @t226)) % 0.28/0.57 (define @t228 () (_ @t12 @t33)) % 0.28/0.57 (define @t229 () (or @t66 @t228)) % 0.28/0.57 (define @t230 () (_ @t12 @t33)) % 0.28/0.57 (define @t231 () (or @t66 @t230)) % 0.28/0.57 (define @t232 () (forall @t36 @t231)) % 0.28/0.57 (define @t233 () (lambda @t3 @t232)) % 0.28/0.57 (define @t234 () (_ @t100 @t12)) % 0.28/0.57 (define @t235 () (lambda @t10 (_ (_ @t100 (_ (_ @t31 (_ @t100 (_ @t25 @t234))) @t212)) @t7))) % 0.28/0.57 (define @t236 () (lambda @t11 (_ (_ @t100 (_ @t128 @t235)) @t7))) % 0.28/0.57 (define @t237 () (not @t35)) % 0.28/0.57 (define @t238 () (or @t237 @t34)) % 0.28/0.57 (define @t239 () (not @t5)) % 0.28/0.57 (define @t240 () (or @t239 @t42)) % 0.28/0.57 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.28/0.57 (assume @p2 (forall @t3 (exists @t6 @t5))) % 0.28/0.57 (assume @p3 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ (_ tptp.disjoint @t8) @t9))) (_ tptp.mbox (_ (_ tptp.disjoint @t9) @t8)))) @t7)))) @t7)))))) % 0.28/0.57 (assume @p4 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mbox (_ (_ tptp.mimplies @t13) (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ (_ tptp.in @t9) @t8)))))) @t7)))) @t7)))))) % 0.28/0.57 (assume @p5 (_ tptp.mlocal (_ tptp.mexists_di (lambda @t11 (_ @t14 @t7))))) % 0.28/0.57 (assume @p6 (_ tptp.mlocal (_ tptp.mexists_di (lambda @t11 (_ (_ tptp.mbox (_ tptp.mnot @t14)) @t7))))) % 0.28/0.57 (assume @p7 @t20) % 0.28/0.57 (assume @p8 @t19) % 0.28/0.57 (assume @p9 true) % 0.28/0.57 (step @p10 (= tptp.mlocal @t22) :rule refl :args (@t22)) % 0.28/0.57 (step @p11 (= tptp.mnot @t25) :rule refl :args (@t25)) % 0.28/0.57 (step @p12 (= tptp.mand @t29) :rule refl :args (@t29)) % 0.28/0.57 (step @p13 (= tptp.mor @t30) :rule refl :args (@t30)) % 0.28/0.57 (step @p14 (= tptp.mimplies @t31) :rule refl :args (@t31)) % 0.28/0.57 (step @p15 (= tptp.mequiv @t32) :rule refl :args (@t32)) % 0.28/0.57 (step @p16 (= tptp.mbox @t39) :rule refl :args (@t39)) % 0.28/0.57 (step @p17 (= tptp.mdia @t40) :rule refl :args (@t40)) % 0.28/0.57 (step @p18 (= tptp.mforall_di @t45) :rule refl :args (@t45)) % 0.28/0.57 (step @p19 (= tptp.mexists_di @t46) :rule refl :args (@t46)) % 0.28/0.57 (step @p20 :rule beta-reduce :args ((= @t69 (forall @t64 (or (not (tptp.mrel tptp.mactual @t33)) @t63 @t62 @t61 @t60 @t58 @t52 @t50))))) % 0.28/0.57 (step @p21 :rule beta-reduce :args ((= (_ @t22 @t68) @t69))) % 0.28/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.28/0.57 (step @p23 :rule aci_norm :args ((= @t71 @t67))) % 0.28/0.57 (step @p24 :rule cong :premises (@p23) :args (@t72)) % 0.28/0.57 (step @p25 :rule quant-merge-prenex :args ((= (forall @t36 @t74) @t72))) % 0.28/0.57 (step @p26 :rule alpha_equiv :args (@t75 (@list @t49 @t59 @t48 @t51 @t47) (@list @t4 @t79 @t78 @t77 @t76))) % 0.28/0.57 (step @p27 :rule refl :args (@t66)) % 0.28/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t80)) % 0.28/0.57 (step @p29 :rule quant-miniscope-or :args ((= @t74 @t80))) % 0.28/0.57 (step @p30 :rule trans :premises (@p29 @p28)) % 0.28/0.57 (step @p31 :rule symm :premises (@p30)) % 0.28/0.57 (step @p32 :rule cong :premises (@p31) :args ((forall @t36 (or @t66 @t89)))) % 0.28/0.57 (step @p33 :rule trans :premises (@p32 @p25)) % 0.28/0.57 (step @p34 :rule trans :premises (@p33 @p24)) % 0.28/0.57 (step @p35 :rule beta-reduce :args ((= @t95 @t89))) % 0.28/0.57 (step @p36 :rule refl :args (@t66)) % 0.28/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t96)) % 0.28/0.57 (step @p38 :rule cong :premises (@p37) :args (@t97)) % 0.28/0.57 (step @p39 :rule trans :premises (@p38 @p34)) % 0.28/0.57 (step @p40 :rule cong :premises (@p39) :args (@t98)) % 0.28/0.57 (step @p41 :rule beta-reduce :args ((= (_ @t100 @t94) @t98))) % 0.28/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.28/0.57 (step @p43 :rule aci_norm :args ((= @t102 @t93))) % 0.28/0.57 (step @p44 :rule cong :premises (@p43) :args (@t103)) % 0.28/0.57 (step @p45 :rule quant-merge-prenex :args ((= (forall @t6 @t105) @t103))) % 0.28/0.57 (step @p46 :rule alpha_equiv :args (@t106 (@list @t79 @t78 @t77 @t76) (@list @t33 @t109 @t108 @t107))) % 0.28/0.57 (step @p47 :rule refl :args (@t92)) % 0.28/0.57 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t110)) % 0.28/0.57 (step @p49 :rule quant-miniscope-or :args ((= @t105 @t110))) % 0.28/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.28/0.57 (step @p51 :rule symm :premises (@p50)) % 0.28/0.57 (step @p52 :rule cong :premises (@p51) :args ((forall @t6 (or @t92 @t116)))) % 0.28/0.57 (step @p53 :rule trans :premises (@p52 @p45)) % 0.28/0.57 (step @p54 :rule trans :premises (@p53 @p44)) % 0.28/0.57 (step @p55 :rule beta-reduce :args ((= @t123 @t116))) % 0.28/0.57 (step @p56 :rule refl :args (@t92)) % 0.28/0.57 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t124)) % 0.28/0.57 (step @p58 :rule cong :premises (@p57) :args (@t125)) % 0.28/0.57 (step @p59 :rule trans :premises (@p58 @p54)) % 0.28/0.57 (step @p60 :rule cong :premises (@p59) :args (@t126)) % 0.28/0.57 (step @p61 :rule beta-reduce :args ((= (_ @t128 @t122) @t126))) % 0.28/0.57 (step @p62 :rule trans :premises (@p61 @p60)) % 0.28/0.57 (step @p63 :rule beta-reduce :args ((= (_ (lambda @t3 (forall @t115 @t129)) @t7) @t121))) % 0.28/0.57 (step @p64 :rule refl :args (@t7)) % 0.28/0.57 (step @p65 :rule aci_norm :args ((= @t131 @t129))) % 0.28/0.57 (step @p66 :rule cong :premises (@p65) :args (@t132)) % 0.28/0.57 (step @p67 :rule quant-merge-prenex :args ((= (forall @t36 @t134) @t132))) % 0.28/0.57 (step @p68 :rule alpha_equiv :args (@t135 (@list @t109 @t108 @t107) (@list @t4 @t137 @t136))) % 0.28/0.57 (step @p69 :rule nary_cong :premises (@p27 @p68) :args (@t138)) % 0.28/0.57 (step @p70 :rule quant-miniscope-or :args ((= @t134 @t138))) % 0.28/0.57 (step @p71 :rule trans :premises (@p70 @p69)) % 0.28/0.57 (step @p72 :rule symm :premises (@p71)) % 0.28/0.57 (step @p73 :rule cong :premises (@p72) :args ((forall @t36 (or @t66 @t144)))) % 0.28/0.57 (step @p74 :rule trans :premises (@p73 @p67)) % 0.28/0.57 (step @p75 :rule trans :premises (@p74 @p66)) % 0.28/0.57 (step @p76 :rule beta-reduce :args ((= @t148 @t144))) % 0.28/0.57 (step @p77 :rule nary_cong :premises (@p36 @p76) :args (@t149)) % 0.28/0.57 (step @p78 :rule cong :premises (@p77) :args (@t150)) % 0.28/0.57 (step @p79 :rule trans :premises (@p78 @p75)) % 0.28/0.57 (step @p80 :rule cong :premises (@p79) :args (@t151)) % 0.28/0.57 (step @p81 :rule beta-reduce :args ((= (_ @t100 @t147) @t151))) % 0.28/0.57 (step @p82 :rule trans :premises (@p81 @p80)) % 0.28/0.57 (step @p83 :rule aci_norm :args ((= @t153 @t146))) % 0.28/0.57 (step @p84 :rule cong :premises (@p83) :args (@t154)) % 0.28/0.57 (step @p85 :rule quant-merge-prenex :args ((= (forall @t6 @t156) @t154))) % 0.28/0.57 (step @p86 :rule alpha_equiv :args (@t157 (@list @t137 @t136) (@list @t33 @t158))) % 0.28/0.57 (step @p87 :rule nary_cong :premises (@p47 @p86) :args (@t159)) % 0.28/0.57 (step @p88 :rule quant-miniscope-or :args ((= @t156 @t159))) % 0.28/0.57 (step @p89 :rule trans :premises (@p88 @p87)) % 0.28/0.57 (step @p90 :rule symm :premises (@p89)) % 0.28/0.57 (step @p91 :rule cong :premises (@p90) :args ((forall @t6 (or @t92 @t163)))) % 0.28/0.57 (step @p92 :rule trans :premises (@p91 @p85)) % 0.28/0.57 (step @p93 :rule trans :premises (@p92 @p84)) % 0.28/0.57 (step @p94 :rule beta-reduce :args ((= @t171 @t163))) % 0.28/0.57 (step @p95 :rule nary_cong :premises (@p56 @p94) :args (@t172)) % 0.28/0.57 (step @p96 :rule cong :premises (@p95) :args (@t173)) % 0.28/0.57 (step @p97 :rule trans :premises (@p96 @p93)) % 0.28/0.57 (step @p98 :rule cong :premises (@p97) :args (@t174)) % 0.28/0.57 (step @p99 :rule beta-reduce :args ((= (_ @t128 @t170) @t174))) % 0.28/0.57 (step @p100 :rule trans :premises (@p99 @p98)) % 0.28/0.57 (step @p101 :rule beta-reduce :args ((= (_ (lambda @t3 (forall @t162 @t175)) @t7) @t169))) % 0.28/0.57 (step @p102 :rule aci_norm :args ((= @t177 @t175))) % 0.28/0.57 (step @p103 :rule cong :premises (@p102) :args (@t178)) % 0.28/0.57 (step @p104 :rule quant-merge-prenex :args ((= (forall @t36 @t180) @t178))) % 0.28/0.57 (step @p105 :rule alpha_equiv :args (@t181 (@list @t158) @t183)) % 0.28/0.57 (step @p106 :rule refl :args (@t168)) % 0.28/0.57 (step @p107 :rule nary_cong :premises (@p27 @p106 @p105) :args (@t184)) % 0.28/0.57 (step @p108 :rule quant-miniscope-or :args ((= @t180 @t184))) % 0.28/0.57 (step @p109 :rule trans :premises (@p108 @p107)) % 0.28/0.57 (step @p110 :rule symm :premises (@p109)) % 0.28/0.57 (step @p111 :rule cong :premises (@p110) :args ((forall @t36 @t188))) % 0.28/0.57 (step @p112 :rule trans :premises (@p111 @p104)) % 0.28/0.57 (step @p113 :rule trans :premises (@p112 @p103)) % 0.28/0.57 (step @p114 :rule aci_norm :args ((= (or @t66 (or @t168 @t187)) @t188))) % 0.28/0.57 (step @p115 :rule bool-impl-elim :args (@t167 @t187)) % 0.28/0.57 (step @p116 :rule nary_cong :premises (@p27 @p115) :args (@t190)) % 0.28/0.57 (step @p117 :rule trans :premises (@p116 @p114)) % 0.28/0.57 (step @p118 :rule cong :premises (@p117) :args ((forall @t36 @t190))) % 0.28/0.57 (step @p119 :rule trans :premises (@p118 @p113)) % 0.28/0.57 (step @p120 :rule beta-reduce :args ((= (_ (lambda @t3 (=> (forall @t57 (or (not (tptp.mrel @t1 @t54)) @t166)) (forall @t186 (or (not (tptp.mrel @t1 @t182)) @t185)))) @t33) @t189))) % 0.28/0.57 (step @p121 :rule refl :args (@t33)) % 0.28/0.57 (step @p122 :rule alpha_equiv :args (@t192 @t193 @t183)) % 0.28/0.57 (step @p123 :rule alpha_equiv :args (@t195 @t193 (@list @t54))) % 0.28/0.57 (step @p124 :rule cong :premises (@p123 @p122) :args (@t196)) % 0.28/0.57 (step @p125 :rule cong :premises (@p124) :args (@t197)) % 0.28/0.57 (step @p126 :rule ho_cong :premises (@p125 @p121)) % 0.28/0.57 (step @p127 :rule trans :premises (@p126 @p120)) % 0.28/0.57 (step @p128 :rule nary_cong :premises (@p36 @p127) :args (@t198)) % 0.28/0.57 (step @p129 :rule cong :premises (@p128) :args (@t199)) % 0.28/0.57 (step @p130 :rule trans :premises (@p129 @p119)) % 0.28/0.57 (step @p131 :rule cong :premises (@p130) :args (@t200)) % 0.28/0.57 (step @p132 :rule beta-reduce :args ((= (_ @t100 @t197) @t200))) % 0.28/0.57 (step @p133 :rule trans :premises (@p132 @p131)) % 0.28/0.57 (step @p134 :rule beta-reduce :args ((= @t202 @t192))) % 0.28/0.57 (step @p135 :rule refl :args (@t195)) % 0.28/0.57 (step @p136 :rule cong :premises (@p135 @p134) :args (@t203)) % 0.28/0.57 (step @p137 :rule cong :premises (@p136) :args (@t204)) % 0.28/0.57 (step @p138 :rule beta-reduce :args ((= (_ (lambda @t205 (=> @t195 @t27)) @t201) @t204))) % 0.28/0.57 (step @p139 :rule trans :premises (@p138 @p137)) % 0.28/0.57 (step @p140 :rule refl :args ((tptp.disjoint @t15 @t9 @t33))) % 0.28/0.57 (step @p141 :rule refl :args (@t9)) % 0.28/0.57 (step @p142 :rule refl :args (@t117)) % 0.28/0.57 (step @p143 :rule cong :premises (@p142 @p141 @p121) :args (@t191)) % 0.28/0.57 (step @p144 :rule trans :premises (@p143 @p140)) % 0.28/0.57 (step @p145 :rule refl :args (tptp.disjoint)) % 0.28/0.57 (step @p146 :rule ho_cong :premises (@p145 @p142)) % 0.28/0.57 (step @p147 :rule ho_cong :premises (@p146 @p141)) % 0.28/0.57 (step @p148 :rule ho_cong :premises (@p147 @p121)) % 0.28/0.57 (step @p149 :rule cong :premises (@p148 @p144) :args ((= (_ (_ (_ tptp.disjoint @t117) @t9) @t33) @t191))) % 0.28/0.57 (step @p150 :rule symm :premises (@p149)) % 0.28/0.57 (step @p151 :rule refl :args (@t206)) % 0.28/0.57 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.28/0.57 (step @p153 :rule refl :args (@t15)) % 0.28/0.57 (step @p154 :rule cong :premises (@p153 @p142) :args ((= @t15 @t117))) % 0.28/0.57 (step @p155 :rule symm :premises (@p154)) % 0.28/0.57 (step @p156 :rule eq_resolve :premises (@p153 @p155)) % 0.28/0.57 (step @p157 :rule ho_cong :premises (@p145 @p156)) % 0.28/0.57 (step @p158 :rule ho_cong :premises (@p157 @p141)) % 0.28/0.57 (step @p159 :rule ho_cong :premises (@p158 @p121)) % 0.28/0.57 (step @p160 :rule trans :premises (@p159 @p152)) % 0.28/0.57 (step @p161 :rule nary_cong :premises (@p27 @p160) :args (@t207)) % 0.28/0.57 (step @p162 :rule cong :premises (@p161) :args ((forall @t36 @t207))) % 0.28/0.57 (step @p163 :rule refl :args (@t208)) % 0.28/0.57 (step @p164 :rule nary_cong :premises (@p36 @p163) :args (@t209)) % 0.28/0.57 (step @p165 :rule cong :premises (@p164) :args (@t210)) % 0.28/0.57 (step @p166 :rule trans :premises (@p165 @p162)) % 0.28/0.57 (step @p167 :rule cong :premises (@p166) :args (@t211)) % 0.28/0.57 (step @p168 :rule beta-reduce :args ((= @t212 @t211))) % 0.28/0.57 (step @p169 :rule trans :premises (@p168 @p167)) % 0.28/0.57 (step @p170 :rule refl :args (@t27)) % 0.28/0.57 (step @p171 :rule beta-reduce :args ((= @t214 @t195))) % 0.28/0.57 (step @p172 :rule cong :premises (@p171 @p170) :args (@t215)) % 0.28/0.57 (step @p173 :rule cong :premises (@p172) :args (@t216)) % 0.28/0.57 (step @p174 :rule beta-reduce :args ((= (_ @t31 @t213) @t216))) % 0.28/0.57 (step @p175 :rule trans :premises (@p174 @p173)) % 0.28/0.57 (step @p176 :rule beta-reduce :args ((= (_ (lambda @t3 (not (forall @t56 (or (not (tptp.mrel @t1 @t53)) @t165)))) @t33) @t194))) % 0.28/0.57 (step @p177 :rule alpha_equiv :args (@t218 @t193 (@list @t53))) % 0.28/0.57 (step @p178 :rule cong :premises (@p177) :args (@t219)) % 0.28/0.57 (step @p179 :rule cong :premises (@p178) :args (@t220)) % 0.28/0.57 (step @p180 :rule ho_cong :premises (@p179 @p121)) % 0.28/0.57 (step @p181 :rule trans :premises (@p180 @p176)) % 0.28/0.57 (step @p182 :rule nary_cong :premises (@p36 @p181) :args (@t221)) % 0.28/0.57 (step @p183 :rule cong :premises (@p182) :args (@t222)) % 0.28/0.57 (step @p184 :rule cong :premises (@p183) :args (@t223)) % 0.28/0.57 (step @p185 :rule beta-reduce :args ((= (_ @t100 @t220) @t223))) % 0.28/0.57 (step @p186 :rule trans :premises (@p185 @p184)) % 0.28/0.57 (step @p187 :rule beta-reduce :args ((= @t225 @t218))) % 0.28/0.57 (step @p188 :rule cong :premises (@p187) :args (@t226)) % 0.28/0.57 (step @p189 :rule cong :premises (@p188) :args (@t227)) % 0.28/0.57 (step @p190 :rule beta-reduce :args ((= (_ @t25 @t224) @t227))) % 0.28/0.57 (step @p191 :rule trans :premises (@p190 @p189)) % 0.28/0.57 (step @p192 :rule refl :args (@t217)) % 0.28/0.57 (step @p193 :rule refl :args (@t228)) % 0.28/0.57 (step @p194 :rule cong :premises (@p193 @p192) :args ((= @t228 @t217))) % 0.28/0.57 (step @p195 :rule symm :premises (@p194)) % 0.28/0.57 (step @p196 :rule eq_resolve :premises (@p193 @p195)) % 0.28/0.57 (step @p197 :rule nary_cong :premises (@p27 @p196) :args (@t229)) % 0.28/0.57 (step @p198 :rule cong :premises (@p197) :args ((forall @t36 @t229))) % 0.28/0.57 (step @p199 :rule refl :args (@t230)) % 0.28/0.57 (step @p200 :rule nary_cong :premises (@p36 @p199) :args (@t231)) % 0.28/0.57 (step @p201 :rule cong :premises (@p200) :args (@t232)) % 0.28/0.57 (step @p202 :rule trans :premises (@p201 @p198)) % 0.28/0.57 (step @p203 :rule cong :premises (@p202) :args (@t233)) % 0.28/0.57 (step @p204 :rule beta-reduce :args ((= @t234 @t233))) % 0.28/0.57 (step @p205 :rule trans :premises (@p204 @p203)) % 0.28/0.57 (step @p206 :rule refl :args (@t25)) % 0.28/0.57 (step @p207 :rule ho_cong :premises (@p206 @p205)) % 0.28/0.57 (step @p208 :rule trans :premises (@p207 @p191)) % 0.28/0.57 (step @p209 :rule refl :args (@t100)) % 0.28/0.57 (step @p210 :rule ho_cong :premises (@p209 @p208)) % 0.28/0.57 (step @p211 :rule trans :premises (@p210 @p186)) % 0.28/0.57 (step @p212 :rule refl :args (@t31)) % 0.28/0.57 (step @p213 :rule ho_cong :premises (@p212 @p211)) % 0.28/0.57 (step @p214 :rule trans :premises (@p213 @p175)) % 0.28/0.57 (step @p215 :rule ho_cong :premises (@p214 @p169)) % 0.28/0.57 (step @p216 :rule trans :premises (@p215 @p139)) % 0.28/0.57 (step @p217 :rule ho_cong :premises (@p209 @p216)) % 0.28/0.57 (step @p218 :rule trans :premises (@p217 @p133)) % 0.28/0.57 (step @p219 :rule ho_cong :premises (@p218 @p64)) % 0.28/0.57 (step @p220 :rule trans :premises (@p219 @p101)) % 0.28/0.57 (step @p221 :rule cong :premises (@p220) :args (@t235)) % 0.28/0.57 (step @p222 :rule refl :args (@t128)) % 0.28/0.57 (step @p223 :rule ho_cong :premises (@p222 @p221)) % 0.28/0.57 (step @p224 :rule trans :premises (@p223 @p100)) % 0.28/0.57 (step @p225 :rule ho_cong :premises (@p209 @p224)) % 0.28/0.57 (step @p226 :rule trans :premises (@p225 @p82)) % 0.28/0.57 (step @p227 :rule ho_cong :premises (@p226 @p64)) % 0.28/0.57 (step @p228 :rule trans :premises (@p227 @p63)) % 0.28/0.57 (step @p229 :rule cong :premises (@p228) :args (@t236)) % 0.28/0.57 (step @p230 :rule ho_cong :premises (@p222 @p229)) % 0.28/0.57 (step @p231 :rule trans :premises (@p230 @p62)) % 0.28/0.57 (step @p232 :rule ho_cong :premises (@p209 @p231)) % 0.28/0.57 (step @p233 :rule trans :premises (@p232 @p42)) % 0.28/0.57 (step @p234 :rule refl :args (@t22)) % 0.28/0.57 (step @p235 :rule ho_cong :premises (@p234 @p233)) % 0.28/0.57 (step @p236 :rule trans :premises (@p235 @p22)) % 0.28/0.57 (step @p237 :rule cong :premises (@p236) :args ((not (_ @t22 (_ @t100 (_ @t128 @t236)))))) % 0.28/0.57 (step @p238 :rule refl :args (@t16)) % 0.28/0.57 (step @p239 :rule refl :args (@t99)) % 0.28/0.57 (step @p240 :rule refl :args (@t34)) % 0.28/0.57 (step @p241 :rule cong :premises (@p240 @p239) :args ((= @t34 @t99))) % 0.28/0.57 (step @p242 :rule symm :premises (@p241)) % 0.28/0.57 (step @p243 :rule eq_resolve :premises (@p240 @p242)) % 0.28/0.57 (step @p244 :rule refl :args (@t65)) % 0.28/0.57 (step @p245 :rule refl :args (@t35)) % 0.28/0.57 (step @p246 :rule cong :premises (@p245 @p244) :args ((= @t35 @t65))) % 0.28/0.57 (step @p247 :rule symm :premises (@p246)) % 0.28/0.57 (step @p248 :rule eq_resolve :premises (@p245 @p247)) % 0.28/0.57 (step @p249 :rule cong :premises (@p248) :args (@t237)) % 0.28/0.57 (step @p250 :rule nary_cong :premises (@p249 @p243) :args (@t238)) % 0.28/0.57 (step @p251 :rule cong :premises (@p250) :args ((forall @t36 @t238))) % 0.28/0.57 (step @p252 :rule bool-impl-elim :args (@t35 @t34)) % 0.28/0.57 (step @p253 :rule cong :premises (@p252) :args (@t37)) % 0.28/0.57 (step @p254 :rule trans :premises (@p253 @p251)) % 0.28/0.57 (step @p255 :rule cong :premises (@p254) :args (@t39)) % 0.28/0.57 (step @p256 :rule trans :premises (@p16 @p255)) % 0.28/0.57 (step @p257 :rule ho_cong :premises (@p256 @p238)) % 0.28/0.57 (step @p258 :rule refl :args (@t12)) % 0.28/0.57 (step @p259 :rule ho_cong :premises (@p256 @p258)) % 0.28/0.57 (step @p260 :rule ho_cong :premises (@p11 @p259)) % 0.28/0.57 (step @p261 :rule ho_cong :premises (@p256 @p260)) % 0.28/0.57 (step @p262 :rule ho_cong :premises (@p14 @p261)) % 0.28/0.57 (step @p263 :rule ho_cong :premises (@p262 @p257)) % 0.28/0.57 (step @p264 :rule ho_cong :premises (@p256 @p263)) % 0.28/0.57 (step @p265 :rule ho_cong :premises (@p264 @p64)) % 0.28/0.57 (step @p266 :rule cong :premises (@p265) :args (@t17)) % 0.28/0.57 (step @p267 :rule refl :args (@t127)) % 0.28/0.57 (step @p268 :rule refl :args (@t42)) % 0.28/0.57 (step @p269 :rule cong :premises (@p268 @p267) :args ((= @t42 @t127))) % 0.28/0.57 (step @p270 :rule symm :premises (@p269)) % 0.28/0.57 (step @p271 :rule eq_resolve :premises (@p268 @p270)) % 0.28/0.57 (step @p272 :rule refl :args (@t91)) % 0.28/0.57 (step @p273 :rule refl :args (@t5)) % 0.28/0.57 (step @p274 :rule cong :premises (@p273 @p272) :args ((= @t5 @t91))) % 0.28/0.57 (step @p275 :rule symm :premises (@p274)) % 0.28/0.57 (step @p276 :rule eq_resolve :premises (@p273 @p275)) % 0.28/0.57 (step @p277 :rule cong :premises (@p276) :args (@t239)) % 0.28/0.57 (step @p278 :rule nary_cong :premises (@p277 @p271) :args (@t240)) % 0.28/0.57 (step @p279 :rule cong :premises (@p278) :args ((forall @t6 @t240))) % 0.28/0.57 (step @p280 :rule bool-impl-elim :args (@t5 @t42)) % 0.28/0.57 (step @p281 :rule cong :premises (@p280) :args (@t43)) % 0.28/0.57 (step @p282 :rule trans :premises (@p281 @p279)) % 0.28/0.57 (step @p283 :rule cong :premises (@p282) :args (@t45)) % 0.28/0.57 (step @p284 :rule trans :premises (@p18 @p283)) % 0.28/0.57 (step @p285 :rule ho_cong :premises (@p284 @p266)) % 0.28/0.57 (step @p286 :rule ho_cong :premises (@p256 @p285)) % 0.28/0.57 (step @p287 :rule ho_cong :premises (@p286 @p64)) % 0.28/0.57 (step @p288 :rule cong :premises (@p287) :args (@t18)) % 0.28/0.57 (step @p289 :rule ho_cong :premises (@p284 @p288)) % 0.28/0.57 (step @p290 :rule ho_cong :premises (@p256 @p289)) % 0.28/0.57 (step @p291 :rule ho_cong :premises (@p10 @p290)) % 0.28/0.57 (step @p292 :rule cong :premises (@p291) :args (@t20)) % 0.28/0.57 (step @p293 :rule trans :premises (@p292 @p237)) % 0.28/0.57 (step @p294 :rule eq_resolve :premises (@p7 @p293)) % 0.28/0.57 (step @p295 :rule trans :premises (@p291 @p236)) % 0.28/0.57 (step @p296 :rule eq_resolve :premises (@p8 @p295)) % 0.28/0.57 (step @p297 false :rule contra :premises (@p296 @p294)) % 0.28/0.57 ) % 0.28/0.57 % SZS output end Proof % 0.28/0.57 % cvc5 exiting %------------------------------------------------------------------------------