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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET002^4 : TPTP v9.2.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n028.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 08:46:52 AM UTC 2026

% Result   : Theorem 0.44s 0.66s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET002^4 : TPTP v9.2.1. Released v8.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n028.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 14:40:05 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.30/0.50  %----Proving TH0
% 0.44/0.66  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.44/0.66  % SZS status Theorem
% 0.44/0.66  % SZS output start Proof
% 0.44/0.66  (
% 0.44/0.66  (declare-sort $$unsorted 0)
% 0.44/0.66  (declare-sort tptp.mworld 0)
% 0.44/0.66  (declare-const tptp.mactual tptp.mworld)
% 0.44/0.66  (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool))
% 0.44/0.66  (declare-const tptp.empty_set $$unsorted)
% 0.44/0.66  (declare-const tptp.subset (-> $$unsorted $$unsorted tptp.mworld Bool))
% 0.44/0.66  (declare-const tptp.member (-> $$unsorted $$unsorted tptp.mworld Bool))
% 0.44/0.66  (declare-const tptp.equal_set (-> $$unsorted $$unsorted tptp.mworld Bool))
% 0.44/0.66  (declare-const tptp.qmltpeq (-> $$unsorted $$unsorted tptp.mworld Bool))
% 0.44/0.66  (declare-const tptp.power_set (-> $$unsorted $$unsorted))
% 0.44/0.66  (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted))
% 0.44/0.66  (declare-const tptp.product (-> $$unsorted $$unsorted))
% 0.44/0.66  (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted))
% 0.44/0.66  (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted))
% 0.44/0.66  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.44/0.66  (declare-const tptp.sum (-> $$unsorted $$unsorted))
% 0.44/0.66  (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.44/0.66  (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual))))
% 0.44/0.66  (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))))))
% 0.44/0.66  (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)))))))
% 0.44/0.66  (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)))))))
% 0.44/0.66  (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)))))))
% 0.44/0.66  (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)))))))
% 0.44/0.66  (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))))))))
% 0.44/0.66  (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))))))))
% 0.44/0.66  (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) (_ (_ _let_3 _let_2) _let_1)))))))
% 0.44/0.66  (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) (_ (_ _let_3 _let_2) _let_1)))))))
% 0.44/0.66  (define @t1 () (@var "V" tptp.mworld))
% 0.44/0.66  (define @t2 () (@var "W" tptp.mworld))
% 0.44/0.66  (define @t3 () (_ (_ tptp.mrel @t2) @t1))
% 0.44/0.66  (define @t4 () (@list @t1))
% 0.44/0.66  (define @t5 () (@list @t2))
% 0.44/0.66  (define @t6 () (@var "__flatten_var_0" tptp.mworld))
% 0.44/0.66  (define @t7 () (@var "X" $$unsorted))
% 0.44/0.66  (define @t8 () (_ tptp.qmltpeq @t7))
% 0.44/0.66  (define @t9 () (@list @t7 @t6))
% 0.44/0.66  (define @t10 () (@var "Y" $$unsorted))
% 0.44/0.66  (define @t11 () (_ tptp.qmltpeq @t10))
% 0.44/0.66  (define @t12 () (_ @t8 @t10))
% 0.44/0.66  (define @t13 () (@list @t10 @t6))
% 0.44/0.66  (define @t14 () (@var "Z" $$unsorted))
% 0.44/0.66  (define @t15 () (@var "C" $$unsorted))
% 0.44/0.66  (define @t16 () (@var "B" $$unsorted))
% 0.44/0.66  (define @t17 () (@var "A" $$unsorted))
% 0.44/0.66  (define @t18 () (_ (_ tptp.qmltpeq @t17) @t16))
% 0.44/0.66  (define @t19 () (_ tptp.mimplies @t18))
% 0.44/0.66  (define @t20 () (@list @t15 @t6))
% 0.44/0.66  (define @t21 () (@list @t16 @t6))
% 0.44/0.66  (define @t22 () (@list @t17 @t6))
% 0.44/0.66  (define @t23 () (_ tptp.difference @t15))
% 0.44/0.66  (define @t24 () (_ tptp.intersection @t17))
% 0.44/0.66  (define @t25 () (_ tptp.intersection @t15))
% 0.44/0.66  (define @t26 () (_ tptp.power_set @t17))
% 0.44/0.66  (define @t27 () (_ tptp.product @t17))
% 0.44/0.66  (define @t28 () (_ tptp.singleton @t17))
% 0.44/0.66  (define @t29 () (_ tptp.sum @t17))
% 0.44/0.66  (define @t30 () (_ tptp.union @t17))
% 0.44/0.66  (define @t31 () (_ tptp.union @t15))
% 0.44/0.66  (define @t32 () (_ tptp.unordered_pair @t17))
% 0.44/0.66  (define @t33 () (_ tptp.unordered_pair @t15))
% 0.44/0.66  (define @t34 () (_ tptp.equal_set @t17))
% 0.44/0.66  (define @t35 () (_ tptp.mand @t18))
% 0.44/0.66  (define @t36 () (_ tptp.equal_set @t15))
% 0.44/0.66  (define @t37 () (_ tptp.member @t16))
% 0.44/0.66  (define @t38 () (_ tptp.member @t15))
% 0.44/0.66  (define @t39 () (_ tptp.subset @t16))
% 0.44/0.66  (define @t40 () (_ tptp.subset @t17))
% 0.44/0.66  (define @t41 () (_ tptp.subset @t15))
% 0.44/0.66  (define @t42 () (_ tptp.member @t7))
% 0.44/0.66  (define @t43 () (_ @t42 @t16))
% 0.44/0.66  (define @t44 () (_ @t42 @t17))
% 0.44/0.66  (define @t45 () (lambda @t9 (_ (_ (_ tptp.mimplies @t44) @t43) @t6)))
% 0.44/0.66  (define @t46 () (_ @t40 @t16))
% 0.44/0.66  (define @t47 () (lambda @t21 (_ (_ (_ tptp.mequiv @t46) (_ tptp.mforall_di @t45)) @t6)))
% 0.44/0.66  (define @t48 () (lambda @t22 (_ (_ tptp.mforall_di @t47) @t6)))
% 0.44/0.66  (define @t49 () (_ @t39 @t17))
% 0.44/0.66  (define @t50 () (_ @t34 @t16))
% 0.44/0.66  (define @t51 () (lambda @t21 (_ (_ (_ tptp.mequiv @t50) (_ (_ tptp.mand @t46) @t49)) @t6)))
% 0.44/0.66  (define @t52 () (lambda @t22 (_ (_ tptp.mforall_di @t51) @t6)))
% 0.44/0.66  (define @t53 () (_ (_ tptp.subset @t7) @t17))
% 0.44/0.66  (define @t54 () (_ @t42 (_ @t30 @t16)))
% 0.44/0.66  (define @t55 () (lambda @t21 (_ (_ (_ tptp.mequiv @t54) (_ (_ tptp.mor @t44) @t43)) @t6)))
% 0.44/0.66  (define @t56 () (lambda @t22 (_ (_ tptp.mforall_di @t55) @t6)))
% 0.44/0.66  (define @t57 () (lambda @t9 (_ (_ tptp.mforall_di @t56) @t6)))
% 0.44/0.66  (define @t58 () (@var "E" $$unsorted))
% 0.44/0.66  (define @t59 () (_ @t8 @t17))
% 0.44/0.66  (define @t60 () (_ @t42 @t10))
% 0.44/0.66  (define @t61 () (_ (_ tptp.member @t10) @t17))
% 0.44/0.66  (define @t62 () (lambda @t22 (_ (_ (_ tptp.equal_set (_ @t30 @t17)) @t17) @t6)))
% 0.44/0.66  (define @t63 () (not (_ tptp.mlocal (_ tptp.mforall_di @t62))))
% 0.44/0.66  (define @t64 () (@var "Phi" (-> tptp.mworld Bool)))
% 0.44/0.66  (define @t65 () (lambda (@list @t64) (_ @t64 tptp.mactual)))
% 0.44/0.66  (define @t66 () (@var "A" (-> tptp.mworld Bool)))
% 0.44/0.66  (define @t67 () (_ @t66 @t2))
% 0.44/0.66  (define @t68 () (lambda (@list @t66 @t2) (not @t67)))
% 0.44/0.66  (define @t69 () (@var "B" (-> tptp.mworld Bool)))
% 0.44/0.66  (define @t70 () (_ @t69 @t2))
% 0.44/0.66  (define @t71 () (@list @t66 @t69 @t2))
% 0.44/0.66  (define @t72 () (lambda @t71 (and @t67 @t70)))
% 0.44/0.66  (define @t73 () (lambda @t71 (or @t67 @t70)))
% 0.44/0.66  (define @t74 () (lambda @t71 (=> @t67 @t70)))
% 0.44/0.66  (define @t75 () (lambda @t71 (= @t67 @t70)))
% 0.44/0.66  (define @t76 () (_ @t64 @t1))
% 0.44/0.66  (define @t77 () (@list @t64 @t2))
% 0.44/0.66  (define @t78 () (lambda @t77 (forall @t4 (=> @t3 @t76))))
% 0.44/0.66  (define @t79 () (lambda @t77 (exists @t4 (and @t3 @t76))))
% 0.44/0.66  (define @t80 () (@var "A" (-> $$unsorted tptp.mworld Bool)))
% 0.44/0.66  (define @t81 () (_ (_ @t80 @t7) @t2))
% 0.44/0.66  (define @t82 () (@list @t7))
% 0.44/0.66  (define @t83 () (forall @t82 @t81))
% 0.44/0.66  (define @t84 () (@list @t80 @t2))
% 0.44/0.66  (define @t85 () (lambda @t84 @t83))
% 0.44/0.66  (define @t86 () (lambda @t84 (exists @t82 @t81)))
% 0.44/0.66  (define @t87 () (@var "BOUND_VARIABLE_10924" $$unsorted))
% 0.44/0.66  (define @t88 () (@var "BOUND_VARIABLE_10961" $$unsorted))
% 0.44/0.66  (define @t89 () (tptp.union @t88 @t87))
% 0.44/0.66  (define @t90 () (@list @t7 @t88 @t87))
% 0.44/0.66  (define @t91 () (forall @t90 (= (tptp.member @t7 @t89 tptp.mactual) (or (tptp.member @t7 @t88 tptp.mactual) (tptp.member @t7 @t87 tptp.mactual)))))
% 0.44/0.66  (define @t92 () (tptp.member @t7 @t87 @t2))
% 0.44/0.66  (define @t93 () (= (tptp.member @t7 @t89 @t2) (or (tptp.member @t7 @t88 @t2) @t92)))
% 0.44/0.66  (define @t94 () (forall @t90 @t93))
% 0.44/0.66  (define @t95 () (lambda @t5 @t94))
% 0.44/0.66  (define @t96 () (_ @t95 tptp.mactual))
% 0.44/0.66  (define @t97 () (@list @t88 @t87))
% 0.44/0.66  (define @t98 () (forall @t97 @t93))
% 0.44/0.66  (define @t99 () (tptp.member @t7 @t87 @t6))
% 0.44/0.66  (define @t100 () (forall @t97 (= (tptp.member @t7 @t89 @t6) (or (tptp.member @t7 @t88 @t6) @t99))))
% 0.44/0.66  (define @t101 () (lambda @t9 @t100))
% 0.44/0.66  (define @t102 () (_ @t101 @t7 @t2))
% 0.44/0.66  (define @t103 () (forall @t82 @t102))
% 0.44/0.66  (define @t104 () (lambda @t5 @t103))
% 0.44/0.66  (define @t105 () (_ @t80 @t7 @t2))
% 0.44/0.66  (define @t106 () (forall @t82 @t105))
% 0.44/0.66  (define @t107 () (lambda @t84 @t106))
% 0.44/0.66  (define @t108 () (@list @t87))
% 0.44/0.66  (define @t109 () (forall @t108 @t93))
% 0.44/0.66  (define @t110 () (@list @t88))
% 0.44/0.66  (define @t111 () (tptp.member @t7 @t17 @t6))
% 0.44/0.66  (define @t112 () (tptp.union @t17 @t87))
% 0.44/0.66  (define @t113 () (forall @t108 (= (tptp.member @t7 @t112 @t6) (or @t111 @t99))))
% 0.44/0.66  (define @t114 () (lambda @t22 @t113))
% 0.44/0.66  (define @t115 () (_ @t114 @t88 @t2))
% 0.44/0.66  (define @t116 () (forall @t110 @t115))
% 0.44/0.66  (define @t117 () (lambda @t5 @t116))
% 0.44/0.66  (define @t118 () (@list @t7))
% 0.44/0.66  (define @t119 () (tptp.member @t7 @t17 @t2))
% 0.44/0.66  (define @t120 () (tptp.member @t7 @t112 @t2))
% 0.44/0.66  (define @t121 () (_ (_ @t42 @t87) @t2))
% 0.44/0.66  (define @t122 () (_ @t44 @t2))
% 0.44/0.66  (define @t123 () (or @t122 @t121))
% 0.44/0.66  (define @t124 () (_ @t30 @t87))
% 0.44/0.66  (define @t125 () (_ (_ @t42 @t124) @t2))
% 0.44/0.66  (define @t126 () (= @t125 @t123))
% 0.44/0.66  (define @t127 () (_ @t43 @t6))
% 0.44/0.66  (define @t128 () (_ @t44 @t6))
% 0.44/0.66  (define @t129 () (= (_ @t54 @t6) (or @t128 @t127)))
% 0.44/0.66  (define @t130 () (lambda @t21 @t129))
% 0.44/0.66  (define @t131 () (_ @t130 @t87 @t2))
% 0.44/0.66  (define @t132 () (forall @t108 @t131))
% 0.44/0.66  (define @t133 () (lambda @t5 @t132))
% 0.44/0.66  (define @t134 () (_ @t43 @t2))
% 0.44/0.66  (define @t135 () (or @t122 @t134))
% 0.44/0.66  (define @t136 () (_ @t54 @t2))
% 0.44/0.66  (define @t137 () (lambda @t5 @t135))
% 0.44/0.66  (define @t138 () (_ @t137 @t2))
% 0.44/0.66  (define @t139 () (lambda @t5 (= @t138 @t136)))
% 0.44/0.66  (define @t140 () (@list @t69 @t2))
% 0.44/0.66  (define @t141 () (lambda @t140 (or @t122 @t70)))
% 0.44/0.66  (define @t142 () (_ @t73 @t44))
% 0.44/0.66  (define @t143 () (lambda @t140 (= @t136 @t70)))
% 0.44/0.66  (define @t144 () (_ @t75 @t54))
% 0.44/0.66  (define @t145 () (lambda @t21 (_ (_ @t144 (_ @t142 @t43)) @t6)))
% 0.44/0.66  (define @t146 () (lambda @t22 (_ (_ @t107 @t145) @t6)))
% 0.44/0.66  (define @t147 () (@var "BOUND_VARIABLE_10565" $$unsorted))
% 0.44/0.66  (define @t148 () (@var "BOUND_VARIABLE_10531" $$unsorted))
% 0.44/0.66  (define @t149 () (@list @t148))
% 0.44/0.66  (define @t150 () (@list @t7 @t147))
% 0.44/0.66  (define @t151 () (tptp.member @t148 @t7 @t2))
% 0.44/0.66  (define @t152 () (= (tptp.subset @t7 @t147 @t2) (forall @t149 (or (not @t151) (tptp.member @t148 @t147 @t2)))))
% 0.44/0.66  (define @t153 () (forall @t150 @t152))
% 0.44/0.66  (define @t154 () (lambda @t5 @t153))
% 0.44/0.66  (define @t155 () (_ @t154 tptp.mactual))
% 0.44/0.66  (define @t156 () (@list @t147))
% 0.44/0.66  (define @t157 () (forall @t156 @t152))
% 0.44/0.66  (define @t158 () (not (tptp.member @t148 @t17 @t6)))
% 0.44/0.66  (define @t159 () (tptp.subset @t17 @t7 @t6))
% 0.44/0.66  (define @t160 () (forall @t82 (= @t159 (forall @t149 (or @t158 (tptp.member @t148 @t7 @t6))))))
% 0.44/0.66  (define @t161 () (lambda @t22 @t160))
% 0.44/0.66  (define @t162 () (forall @t82 (_ @t161 @t7 @t2)))
% 0.44/0.66  (define @t163 () (lambda @t5 @t162))
% 0.44/0.66  (define @t164 () (forall @t149 (or (not (tptp.member @t148 @t17 @t2)) @t151)))
% 0.44/0.66  (define @t165 () (tptp.subset @t17 @t7 @t2))
% 0.44/0.66  (define @t166 () (_ (_ @t40 @t7) @t2))
% 0.44/0.66  (define @t167 () (= @t166 @t164))
% 0.44/0.66  (define @t168 () (_ @t46 @t6))
% 0.44/0.66  (define @t169 () (forall @t82 (or (not @t111) (tptp.member @t7 @t16 @t6))))
% 0.44/0.66  (define @t170 () (= @t169 @t168))
% 0.44/0.66  (define @t171 () (lambda @t21 @t170))
% 0.44/0.66  (define @t172 () (forall @t82 (_ @t171 @t7 @t2)))
% 0.44/0.66  (define @t173 () (lambda @t5 @t172))
% 0.44/0.66  (define @t174 () (_ @t46 @t2))
% 0.44/0.66  (define @t175 () (tptp.member @t7 @t16 @t2))
% 0.44/0.66  (define @t176 () (forall @t82 (or (not @t119) @t175)))
% 0.44/0.66  (define @t177 () (lambda @t5 @t176))
% 0.44/0.66  (define @t178 () (_ @t177 @t2))
% 0.44/0.66  (define @t179 () (lambda @t5 (= @t178 @t174)))
% 0.44/0.66  (define @t180 () (not @t122))
% 0.44/0.66  (define @t181 () (or @t180 @t134))
% 0.44/0.66  (define @t182 () (=> @t122 @t134))
% 0.44/0.66  (define @t183 () (=> @t128 @t127))
% 0.44/0.66  (define @t184 () (lambda @t9 @t183))
% 0.44/0.66  (define @t185 () (_ @t184 @t7 @t2))
% 0.44/0.66  (define @t186 () (forall @t82 @t185))
% 0.44/0.66  (define @t187 () (lambda @t5 @t186))
% 0.44/0.66  (define @t188 () (lambda @t5 @t182))
% 0.44/0.66  (define @t189 () (lambda @t140 (=> @t122 @t70)))
% 0.44/0.66  (define @t190 () (_ @t74 @t44))
% 0.44/0.66  (define @t191 () (lambda @t9 (_ (_ @t190 @t43) @t6)))
% 0.44/0.66  (define @t192 () (lambda @t140 (= @t174 @t70)))
% 0.44/0.66  (define @t193 () (_ @t75 @t46))
% 0.44/0.66  (define @t194 () (lambda @t21 (_ (_ @t193 (_ @t107 @t191)) @t6)))
% 0.44/0.66  (define @t195 () (tptp.union @t7 @t7))
% 0.44/0.66  (define @t196 () (forall @t82 (tptp.equal_set @t195 @t7 tptp.mactual)))
% 0.44/0.66  (define @t197 () (@quantifiers_skolemize @t196 0))
% 0.44/0.66  (define @t198 () (tptp.union @t197 @t197))
% 0.44/0.66  (define @t199 () (@list @t198 @t197))
% 0.44/0.66  (define @t200 () (tptp.member @t148 @t197 tptp.mactual))
% 0.44/0.66  (define @t201 () (tptp.member @t148 @t198 tptp.mactual))
% 0.44/0.66  (define @t202 () (forall @t149 (or (not @t201) @t200)))
% 0.44/0.66  (define @t203 () (@quantifiers_skolemize @t202 0))
% 0.44/0.66  (define @t204 () (tptp.member @t203 @t198 tptp.mactual))
% 0.44/0.66  (define @t205 () (tptp.member @t203 @t197 tptp.mactual))
% 0.44/0.66  (define @t206 () (not @t204))
% 0.44/0.66  (define @t207 () (or @t206 @t205))
% 0.44/0.66  (define @t208 () (or @t205 @t205))
% 0.44/0.66  (define @t209 () (= @t204 @t208))
% 0.44/0.66  (define @t210 () (= @t204 @t205))
% 0.44/0.66  (define @t211 () (@list false))
% 0.44/0.66  (define @t212 () (not @t207))
% 0.44/0.66  (define @t213 () (not @t202))
% 0.44/0.66  (define @t214 () (tptp.subset @t198 @t197 tptp.mactual))
% 0.44/0.66  (define @t215 () (= @t214 @t202))
% 0.44/0.66  (define @t216 () (@var "BOUND_VARIABLE_10657" $$unsorted))
% 0.44/0.66  (define @t217 () (@list @t7 @t216))
% 0.44/0.66  (define @t218 () (= (tptp.equal_set @t7 @t216 @t2) (and (tptp.subset @t7 @t216 @t2) (tptp.subset @t216 @t7 @t2))))
% 0.44/0.66  (define @t219 () (forall @t217 @t218))
% 0.44/0.66  (define @t220 () (lambda @t5 @t219))
% 0.44/0.66  (define @t221 () (_ @t220 tptp.mactual))
% 0.44/0.66  (define @t222 () (@list @t216))
% 0.44/0.66  (define @t223 () (forall @t222 @t218))
% 0.44/0.66  (define @t224 () (forall @t82 (= (tptp.equal_set @t17 @t7 @t6) (and @t159 (tptp.subset @t7 @t17 @t6)))))
% 0.44/0.66  (define @t225 () (lambda @t22 @t224))
% 0.44/0.66  (define @t226 () (forall @t82 (_ @t225 @t7 @t2)))
% 0.44/0.66  (define @t227 () (lambda @t5 @t226))
% 0.44/0.66  (define @t228 () (tptp.subset @t7 @t17 @t2))
% 0.44/0.66  (define @t229 () (tptp.equal_set @t17 @t7 @t2))
% 0.44/0.66  (define @t230 () (_ @t53 @t2))
% 0.44/0.66  (define @t231 () (and @t166 @t230))
% 0.44/0.66  (define @t232 () (_ (_ @t34 @t7) @t2))
% 0.44/0.66  (define @t233 () (= @t232 @t231))
% 0.44/0.66  (define @t234 () (= (_ @t50 @t6) (and @t168 (_ @t49 @t6))))
% 0.44/0.66  (define @t235 () (lambda @t21 @t234))
% 0.44/0.66  (define @t236 () (_ @t235 @t7 @t2))
% 0.44/0.66  (define @t237 () (forall @t82 @t236))
% 0.44/0.66  (define @t238 () (lambda @t5 @t237))
% 0.44/0.66  (define @t239 () (and @t174 (_ @t49 @t2)))
% 0.44/0.66  (define @t240 () (_ @t50 @t2))
% 0.44/0.66  (define @t241 () (lambda @t5 @t239))
% 0.44/0.66  (define @t242 () (_ @t241 @t2))
% 0.44/0.66  (define @t243 () (lambda @t5 (= @t242 @t240)))
% 0.44/0.66  (define @t244 () (lambda @t140 (and @t174 @t70)))
% 0.44/0.66  (define @t245 () (_ @t72 @t46))
% 0.44/0.66  (define @t246 () (lambda @t140 (= @t240 @t70)))
% 0.44/0.66  (define @t247 () (_ @t75 @t50))
% 0.44/0.66  (define @t248 () (lambda @t21 (_ (_ @t247 (_ @t245 @t49)) @t6)))
% 0.44/0.66  (define @t249 () (tptp.equal_set @t195 @t7 @t2))
% 0.44/0.66  (define @t250 () (lambda @t5 (forall @t82 @t249)))
% 0.44/0.66  (define @t251 () (_ @t250 tptp.mactual))
% 0.44/0.66  (define @t252 () (_ (_ tptp.union @t7) @t7))
% 0.44/0.66  (define @t253 () (_ (_ (_ tptp.equal_set @t252) @t7) @t2))
% 0.44/0.66  (define @t254 () (_ @t62 @t7 @t2))
% 0.44/0.66  (define @t255 () (forall @t82 @t254))
% 0.44/0.66  (define @t256 () (lambda @t5 @t255))
% 0.44/0.66  (define @t257 () (_ @t107 @t62))
% 0.44/0.66  (define @t258 () (tptp.subset @t197 @t198 tptp.mactual))
% 0.44/0.66  (define @t259 () (and @t214 @t258))
% 0.44/0.66  (define @t260 () (tptp.equal_set @t198 @t197 tptp.mactual))
% 0.44/0.66  (define @t261 () (= @t260 @t259))
% 0.44/0.66  (define @t262 () (not @t259))
% 0.44/0.66  (define @t263 () (@list true false))
% 0.44/0.66  (define @t264 () (forall @t149 (or (not @t200) @t201)))
% 0.44/0.66  (define @t265 () (= @t258 @t264))
% 0.44/0.66  (define @t266 () (not @t264))
% 0.44/0.66  (define @t267 () (@quantifiers_skolemize @t264 0))
% 0.44/0.66  (define @t268 () (tptp.member @t267 @t198 tptp.mactual))
% 0.44/0.66  (define @t269 () (tptp.member @t267 @t197 tptp.mactual))
% 0.44/0.66  (define @t270 () (not @t269))
% 0.44/0.66  (define @t271 () (or @t270 @t268))
% 0.44/0.66  (define @t272 () (not @t271))
% 0.44/0.66  (define @t273 () (@list true))
% 0.44/0.66  (define @t274 () (@list @t271))
% 0.44/0.66  (define @t275 () (= @t269 @t268))
% 0.44/0.66  (define @t276 () (not @t275))
% 0.44/0.66  (define @t277 () (or @t269 @t269))
% 0.44/0.66  (define @t278 () (= @t268 @t277))
% 0.44/0.66  (assume @p1 (forall @t5 (exists @t4 @t3)))
% 0.44/0.66  (assume @p2 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ @t8 @t7) @t6)))))
% 0.44/0.66  (assume @p3 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t13 (_ (_ (_ tptp.mimplies @t12) (_ @t11 @t7)) @t6))) @t6)))))
% 0.44/0.66  (assume @p4 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mforall_di (lambda (@list @t14 @t6) (_ (_ (_ tptp.mimplies (_ (_ tptp.mand @t12) (_ @t11 @t14))) (_ @t8 @t14)) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p5 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ @t19 (_ (_ tptp.qmltpeq (_ (_ tptp.difference @t17) @t15)) (_ (_ tptp.difference @t16) @t15))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p6 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ @t19 (_ (_ tptp.qmltpeq (_ @t23 @t17)) (_ @t23 @t16))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p7 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ @t19 (_ (_ tptp.qmltpeq (_ @t24 @t15)) (_ (_ tptp.intersection @t16) @t15))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p8 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ @t19 (_ (_ tptp.qmltpeq (_ @t25 @t17)) (_ @t25 @t16))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p9 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t19 (_ (_ tptp.qmltpeq @t26) (_ tptp.power_set @t16))) @t6))) @t6)))))
% 0.44/0.66  (assume @p10 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t19 (_ (_ tptp.qmltpeq @t27) (_ tptp.product @t16))) @t6))) @t6)))))
% 0.44/0.66  (assume @p11 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t19 (_ (_ tptp.qmltpeq @t28) (_ tptp.singleton @t16))) @t6))) @t6)))))
% 0.44/0.66  (assume @p12 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t19 (_ (_ tptp.qmltpeq @t29) (_ tptp.sum @t16))) @t6))) @t6)))))
% 0.44/0.66  (assume @p13 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ @t19 (_ (_ tptp.qmltpeq (_ @t30 @t15)) (_ (_ tptp.union @t16) @t15))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p14 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ @t19 (_ (_ tptp.qmltpeq (_ @t31 @t17)) (_ @t31 @t16))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p15 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ @t19 (_ (_ tptp.qmltpeq (_ @t32 @t15)) (_ (_ tptp.unordered_pair @t16) @t15))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p16 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ @t19 (_ (_ tptp.qmltpeq (_ @t33 @t17)) (_ @t33 @t16))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p17 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t35 (_ @t34 @t15))) (_ (_ tptp.equal_set @t16) @t15)) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p18 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t35 (_ @t36 @t17))) (_ @t36 @t16)) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p19 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t35 (_ (_ tptp.member @t17) @t15))) (_ @t37 @t15)) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p20 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t35 (_ @t38 @t17))) (_ @t38 @t16)) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p21 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t35 (_ @t40 @t15))) (_ @t39 @t15)) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p22 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t35 (_ @t41 @t17))) (_ @t41 @t16)) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p23 (_ tptp.mlocal (_ tptp.mforall_di @t48)))
% 0.44/0.66  (assume @p24 (_ tptp.mlocal (_ tptp.mforall_di @t52)))
% 0.44/0.66  (assume @p25 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mequiv (_ @t42 @t26)) @t53) @t6))) @t6)))))
% 0.44/0.66  (assume @p26 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mequiv (_ @t42 (_ @t24 @t16))) (_ (_ tptp.mand @t44) @t43)) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p27 (_ tptp.mlocal (_ tptp.mforall_di @t57)))
% 0.44/0.66  (assume @p28 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mnot (_ @t42 tptp.empty_set)) @t6)))))
% 0.44/0.66  (assume @p29 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda (@list @t58 @t6) (_ (_ (_ tptp.mequiv (_ @t37 (_ (_ tptp.difference @t58) @t17))) (_ (_ tptp.mand (_ @t37 @t58)) (_ tptp.mnot (_ @t37 @t17)))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p30 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mequiv (_ @t42 @t28)) @t59) @t6))) @t6)))))
% 0.44/0.66  (assume @p31 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mequiv (_ @t42 (_ @t32 @t16))) (_ (_ tptp.mor @t59) (_ @t8 @t16))) @t6))) @t6))) @t6)))))
% 0.44/0.66  (assume @p32 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mequiv (_ @t42 @t29)) (_ tptp.mexists_di (lambda @t13 (_ (_ (_ tptp.mand @t61) @t60) @t6)))) @t6))) @t6)))))
% 0.44/0.66  (assume @p33 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mequiv (_ @t42 @t27)) (_ tptp.mforall_di (lambda @t13 (_ (_ (_ tptp.mimplies @t61) @t60) @t6)))) @t6))) @t6)))))
% 0.44/0.66  (assume @p34 @t63)
% 0.44/0.66  (assume @p35 true)
% 0.44/0.66  (step @p36 (= tptp.mlocal @t65) :rule refl :args (@t65))
% 0.44/0.66  (step @p37 (= tptp.mnot @t68) :rule refl :args (@t68))
% 0.44/0.66  (step @p38 (= tptp.mand @t72) :rule refl :args (@t72))
% 0.44/0.66  (step @p39 (= tptp.mor @t73) :rule refl :args (@t73))
% 0.44/0.66  (step @p40 (= tptp.mimplies @t74) :rule refl :args (@t74))
% 0.44/0.66  (step @p41 (= tptp.mequiv @t75) :rule refl :args (@t75))
% 0.44/0.66  (step @p42 (= tptp.mbox @t78) :rule refl :args (@t78))
% 0.44/0.66  (step @p43 (= tptp.mdia @t79) :rule refl :args (@t79))
% 0.44/0.66  (step @p44 (= tptp.mforall_di @t85) :rule refl :args (@t85))
% 0.44/0.66  (step @p45 (= tptp.mexists_di @t86) :rule refl :args (@t86))
% 0.44/0.66  (step @p46 :rule beta-reduce :args ((= @t96 @t91)))
% 0.44/0.66  (step @p47 :rule beta-reduce :args ((= (_ @t65 @t95) @t96)))
% 0.44/0.66  (step @p48 :rule trans :premises (@p47 @p46))
% 0.44/0.66  (step @p49 :rule quant-merge-prenex :args ((= (forall @t82 @t98) @t94)))
% 0.44/0.66  (step @p50 :rule beta-reduce :args ((= @t102 @t98)))
% 0.44/0.66  (step @p51 :rule cong :premises (@p50) :args (@t103))
% 0.44/0.66  (step @p52 :rule trans :premises (@p51 @p49))
% 0.44/0.66  (step @p53 :rule cong :premises (@p52) :args (@t104))
% 0.44/0.66  (step @p54 :rule beta-reduce :args ((= (_ @t107 @t101) @t104)))
% 0.44/0.66  (step @p55 :rule trans :premises (@p54 @p53))
% 0.44/0.66  (step @p56 :rule beta-reduce :args ((= (_ (lambda @t5 @t98) @t6) @t100)))
% 0.44/0.66  (step @p57 :rule refl :args (@t6))
% 0.44/0.66  (step @p58 :rule quant-merge-prenex :args ((= (forall @t110 @t109) @t98)))
% 0.44/0.66  (step @p59 :rule beta-reduce :args ((= @t115 @t109)))
% 0.44/0.66  (step @p60 :rule cong :premises (@p59) :args (@t116))
% 0.44/0.66  (step @p61 :rule trans :premises (@p60 @p58))
% 0.44/0.66  (step @p62 :rule cong :premises (@p61) :args (@t117))
% 0.44/0.66  (step @p63 :rule beta-reduce :args ((= (_ (lambda @t84 (forall @t110 (_ @t80 @t88 @t2))) @t114) @t117)))
% 0.44/0.66  (step @p64 :rule trans :premises (@p63 @p62))
% 0.44/0.66  (step @p65 :rule refl :args (@t114))
% 0.44/0.66  (step @p66 :rule alpha_equiv :args (@t106 @t118 (@list @t88)))
% 0.44/0.66  (step @p67 :rule cong :premises (@p66) :args (@t107))
% 0.44/0.66  (step @p68 :rule ho_cong :premises (@p67 @p65))
% 0.44/0.66  (step @p69 :rule trans :premises (@p68 @p64))
% 0.44/0.66  (step @p70 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t108 (= @t120 (or @t119 @t92)))) @t6) @t113)))
% 0.44/0.66  (step @p71 :rule refl :args (@t92))
% 0.44/0.66  (step @p72 :rule refl :args (@t121))
% 0.44/0.66  (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t121 @t92)))
% 0.44/0.66  (step @p74 :rule symm :premises (@p73))
% 0.44/0.66  (step @p75 :rule eq_resolve :premises (@p72 @p74))
% 0.44/0.66  (step @p76 :rule refl :args (@t119))
% 0.44/0.66  (step @p77 :rule refl :args (@t122))
% 0.44/0.66  (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t122 @t119)))
% 0.44/0.66  (step @p79 :rule symm :premises (@p78))
% 0.44/0.66  (step @p80 :rule eq_resolve :premises (@p77 @p79))
% 0.44/0.66  (step @p81 :rule nary_cong :premises (@p80 @p75) :args (@t123))
% 0.44/0.66  (step @p82 :rule refl :args ((tptp.member @t7 @t124 @t2)))
% 0.44/0.66  (step @p83 :rule refl :args (@t2))
% 0.44/0.66  (step @p84 :rule refl :args (@t112))
% 0.44/0.66  (step @p85 :rule refl :args (@t7))
% 0.44/0.66  (step @p86 :rule cong :premises (@p85 @p84 @p83) :args (@t120))
% 0.44/0.66  (step @p87 :rule trans :premises (@p86 @p82))
% 0.44/0.66  (step @p88 :rule refl :args (@t42))
% 0.44/0.66  (step @p89 :rule ho_cong :premises (@p88 @p84))
% 0.44/0.66  (step @p90 :rule ho_cong :premises (@p89 @p83))
% 0.44/0.66  (step @p91 :rule cong :premises (@p90 @p87) :args ((= (_ (_ @t42 @t112) @t2) @t120)))
% 0.44/0.66  (step @p92 :rule symm :premises (@p91))
% 0.44/0.66  (step @p93 :rule refl :args (@t125))
% 0.44/0.66  (step @p94 :rule eq_resolve :premises (@p93 @p92))
% 0.44/0.66  (step @p95 :rule refl :args (@t124))
% 0.44/0.66  (step @p96 :rule cong :premises (@p95 @p84) :args ((= @t124 @t112)))
% 0.44/0.66  (step @p97 :rule symm :premises (@p96))
% 0.44/0.66  (step @p98 :rule eq_resolve :premises (@p95 @p97))
% 0.44/0.66  (step @p99 :rule ho_cong :premises (@p88 @p98))
% 0.44/0.66  (step @p100 :rule ho_cong :premises (@p99 @p83))
% 0.44/0.66  (step @p101 :rule trans :premises (@p100 @p94))
% 0.44/0.66  (step @p102 :rule cong :premises (@p101 @p81) :args (@t126))
% 0.44/0.66  (step @p103 :rule cong :premises (@p102) :args ((forall @t108 @t126)))
% 0.44/0.66  (step @p104 :rule beta-reduce :args ((= @t131 @t126)))
% 0.44/0.66  (step @p105 :rule cong :premises (@p104) :args (@t132))
% 0.44/0.66  (step @p106 :rule trans :premises (@p105 @p103))
% 0.44/0.66  (step @p107 :rule cong :premises (@p106) :args (@t133))
% 0.44/0.66  (step @p108 :rule beta-reduce :args ((= (_ (lambda @t84 (forall @t108 (_ @t80 @t87 @t2))) @t130) @t133)))
% 0.44/0.66  (step @p109 :rule trans :premises (@p108 @p107))
% 0.44/0.66  (step @p110 :rule refl :args (@t130))
% 0.44/0.66  (step @p111 :rule alpha_equiv :args (@t106 @t118 (@list @t87)))
% 0.44/0.66  (step @p112 :rule cong :premises (@p111) :args (@t107))
% 0.44/0.66  (step @p113 :rule ho_cong :premises (@p112 @p110))
% 0.44/0.66  (step @p114 :rule trans :premises (@p113 @p109))
% 0.44/0.66  (step @p115 :rule beta-reduce :args ((= (_ (lambda @t5 (= @t136 @t135)) @t6) @t129)))
% 0.44/0.66  (step @p116 :rule beta-reduce :args ((= @t138 @t135)))
% 0.44/0.66  (step @p117 :rule refl :args (@t136))
% 0.44/0.66  (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t136 @t138)))
% 0.44/0.66  (step @p119 :rule eq-symm :args (@t138 @t136))
% 0.44/0.66  (step @p120 :rule trans :premises (@p119 @p118))
% 0.44/0.66  (step @p121 :rule cong :premises (@p120) :args (@t139))
% 0.44/0.66  (step @p122 :rule beta-reduce :args ((= (_ (lambda @t140 (= @t70 @t136)) @t137) @t139)))
% 0.44/0.66  (step @p123 :rule trans :premises (@p122 @p121))
% 0.44/0.66  (step @p124 :rule beta-reduce :args ((= (_ @t141 @t43) @t137)))
% 0.44/0.66  (step @p125 :rule refl :args (@t43))
% 0.44/0.66  (step @p126 :rule beta-reduce :args ((= @t142 @t141)))
% 0.44/0.66  (step @p127 :rule ho_cong :premises (@p126 @p125))
% 0.44/0.66  (step @p128 :rule trans :premises (@p127 @p124))
% 0.44/0.66  (step @p129 :rule eq-symm :args (@t136 @t70))
% 0.44/0.66  (step @p130 :rule cong :premises (@p129) :args (@t143))
% 0.44/0.66  (step @p131 :rule beta-reduce :args ((= @t144 @t143)))
% 0.44/0.66  (step @p132 :rule trans :premises (@p131 @p130))
% 0.44/0.66  (step @p133 :rule ho_cong :premises (@p132 @p128))
% 0.44/0.66  (step @p134 :rule trans :premises (@p133 @p123))
% 0.44/0.66  (step @p135 :rule ho_cong :premises (@p134 @p57))
% 0.44/0.66  (step @p136 :rule trans :premises (@p135 @p115))
% 0.44/0.66  (step @p137 :rule cong :premises (@p136) :args (@t145))
% 0.44/0.66  (step @p138 :rule refl :args (@t107))
% 0.44/0.66  (step @p139 :rule ho_cong :premises (@p138 @p137))
% 0.44/0.66  (step @p140 :rule trans :premises (@p139 @p114))
% 0.44/0.66  (step @p141 :rule ho_cong :premises (@p140 @p57))
% 0.44/0.66  (step @p142 :rule trans :premises (@p141 @p70))
% 0.44/0.66  (step @p143 :rule cong :premises (@p142) :args (@t146))
% 0.44/0.66  (step @p144 :rule ho_cong :premises (@p138 @p143))
% 0.44/0.66  (step @p145 :rule trans :premises (@p144 @p69))
% 0.44/0.66  (step @p146 :rule ho_cong :premises (@p145 @p57))
% 0.44/0.66  (step @p147 :rule trans :premises (@p146 @p56))
% 0.44/0.66  (step @p148 :rule cong :premises (@p147) :args ((lambda @t9 (_ (_ @t107 @t146) @t6))))
% 0.44/0.66  (step @p149 :rule ho_cong :premises (@p138 @p148))
% 0.44/0.66  (step @p150 :rule trans :premises (@p149 @p55))
% 0.44/0.66  (step @p151 :rule refl :args (@t65))
% 0.44/0.66  (step @p152 :rule ho_cong :premises (@p151 @p150))
% 0.44/0.66  (step @p153 :rule trans :premises (@p152 @p48))
% 0.44/0.66  (step @p154 :rule refl :args (@t44))
% 0.44/0.66  (step @p155 :rule ho_cong :premises (@p39 @p154))
% 0.44/0.66  (step @p156 :rule ho_cong :premises (@p155 @p125))
% 0.44/0.66  (step @p157 :rule refl :args (@t54))
% 0.44/0.66  (step @p158 :rule ho_cong :premises (@p41 @p157))
% 0.44/0.66  (step @p159 :rule ho_cong :premises (@p158 @p156))
% 0.44/0.66  (step @p160 :rule ho_cong :premises (@p159 @p57))
% 0.44/0.66  (step @p161 :rule cong :premises (@p160) :args (@t55))
% 0.44/0.66  (step @p162 :rule refl :args (@t105))
% 0.44/0.66  (step @p163 :rule refl :args (@t81))
% 0.44/0.66  (step @p164 :rule cong :premises (@p163 @p162) :args ((= @t81 @t105)))
% 0.44/0.66  (step @p165 :rule symm :premises (@p164))
% 0.44/0.66  (step @p166 :rule eq_resolve :premises (@p163 @p165))
% 0.44/0.66  (step @p167 :rule cong :premises (@p166) :args (@t83))
% 0.44/0.66  (step @p168 :rule cong :premises (@p167) :args (@t85))
% 0.44/0.66  (step @p169 :rule trans :premises (@p44 @p168))
% 0.44/0.66  (step @p170 :rule ho_cong :premises (@p169 @p161))
% 0.44/0.66  (step @p171 :rule ho_cong :premises (@p170 @p57))
% 0.44/0.66  (step @p172 :rule cong :premises (@p171) :args (@t56))
% 0.44/0.66  (step @p173 :rule ho_cong :premises (@p169 @p172))
% 0.44/0.66  (step @p174 :rule ho_cong :premises (@p173 @p57))
% 0.44/0.66  (step @p175 :rule cong :premises (@p174) :args (@t57))
% 0.44/0.66  (step @p176 :rule ho_cong :premises (@p169 @p175))
% 0.44/0.66  (step @p177 :rule ho_cong :premises (@p36 @p176))
% 0.44/0.66  (step @p178 :rule trans :premises (@p177 @p153))
% 0.44/0.66  (step @p179 :rule eq_resolve :premises (@p27 @p178))
% 0.44/0.66  (step @p180 :rule beta-reduce :args ((= @t155 (forall @t150 (= (tptp.subset @t7 @t147 tptp.mactual) (forall @t149 (or (not (tptp.member @t148 @t7 tptp.mactual)) (tptp.member @t148 @t147 tptp.mactual))))))))
% 0.44/0.66  (step @p181 :rule beta-reduce :args ((= (_ @t65 @t154) @t155)))
% 0.44/0.66  (step @p182 :rule trans :premises (@p181 @p180))
% 0.44/0.66  (step @p183 :rule quant-merge-prenex :args ((= (forall @t82 @t157) @t153)))
% 0.44/0.66  (step @p184 :rule beta-reduce :args ((= (_ (lambda @t22 (forall @t156 (= (tptp.subset @t17 @t147 @t6) (forall @t149 (or @t158 (tptp.member @t148 @t147 @t6)))))) @t7 @t2) @t157)))
% 0.44/0.66  (step @p185 :rule alpha_equiv :args (@t160 @t118 (@list @t147)))
% 0.44/0.66  (step @p186 :rule cong :premises (@p185) :args (@t161))
% 0.44/0.66  (step @p187 :rule ho_cong :premises (@p186 @p85 @p83))
% 0.44/0.66  (step @p188 :rule trans :premises (@p187 @p184))
% 0.44/0.66  (step @p189 :rule cong :premises (@p188) :args (@t162))
% 0.44/0.66  (step @p190 :rule trans :premises (@p189 @p183))
% 0.44/0.66  (step @p191 :rule cong :premises (@p190) :args (@t163))
% 0.44/0.66  (step @p192 :rule beta-reduce :args ((= (_ @t107 @t161) @t163)))
% 0.44/0.66  (step @p193 :rule trans :premises (@p192 @p191))
% 0.44/0.66  (step @p194 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t82 (= @t165 @t164))) @t6) @t160)))
% 0.44/0.66  (step @p195 :rule refl :args (@t164))
% 0.44/0.66  (step @p196 :rule refl :args (@t165))
% 0.44/0.66  (step @p197 :rule refl :args (@t166))
% 0.44/0.66  (step @p198 :rule cong :premises (@p197 @p196) :args ((= @t166 @t165)))
% 0.44/0.66  (step @p199 :rule symm :premises (@p198))
% 0.44/0.66  (step @p200 :rule eq_resolve :premises (@p197 @p199))
% 0.44/0.66  (step @p201 :rule cong :premises (@p200 @p195) :args (@t167))
% 0.44/0.66  (step @p202 :rule cong :premises (@p201) :args ((forall @t82 @t167)))
% 0.44/0.66  (step @p203 :rule eq-symm :args (@t164 @t166))
% 0.44/0.66  (step @p204 :rule beta-reduce :args ((= (_ (lambda @t21 (= (forall @t149 (or @t158 (tptp.member @t148 @t16 @t6))) @t168)) @t7 @t2) (= @t164 @t166))))
% 0.44/0.66  (step @p205 :rule trans :premises (@p204 @p203))
% 0.44/0.66  (step @p206 :rule refl :args (@t168))
% 0.44/0.66  (step @p207 :rule alpha_equiv :args (@t169 @t118 (@list @t148)))
% 0.44/0.66  (step @p208 :rule cong :premises (@p207 @p206) :args (@t170))
% 0.44/0.66  (step @p209 :rule cong :premises (@p208) :args (@t171))
% 0.44/0.66  (step @p210 :rule ho_cong :premises (@p209 @p85 @p83))
% 0.44/0.66  (step @p211 :rule trans :premises (@p210 @p205))
% 0.44/0.66  (step @p212 :rule cong :premises (@p211) :args (@t172))
% 0.44/0.66  (step @p213 :rule trans :premises (@p212 @p202))
% 0.44/0.66  (step @p214 :rule cong :premises (@p213) :args (@t173))
% 0.44/0.66  (step @p215 :rule beta-reduce :args ((= (_ @t107 @t171) @t173)))
% 0.44/0.66  (step @p216 :rule trans :premises (@p215 @p214))
% 0.44/0.66  (step @p217 :rule beta-reduce :args ((= (_ (lambda @t5 (= @t176 @t174)) @t6) @t170)))
% 0.44/0.66  (step @p218 :rule eq-symm :args (@t174 @t176))
% 0.44/0.66  (step @p219 :rule beta-reduce :args ((= @t178 @t176)))
% 0.44/0.66  (step @p220 :rule refl :args (@t174))
% 0.44/0.66  (step @p221 :rule cong :premises (@p220 @p219) :args ((= @t174 @t178)))
% 0.44/0.66  (step @p222 :rule trans :premises (@p221 @p218))
% 0.44/0.66  (step @p223 :rule eq-symm :args (@t178 @t174))
% 0.44/0.66  (step @p224 :rule trans :premises (@p223 @p222))
% 0.44/0.66  (step @p225 :rule cong :premises (@p224) :args (@t179))
% 0.44/0.66  (step @p226 :rule beta-reduce :args ((= (_ (lambda @t140 (= @t70 @t174)) @t177) @t179)))
% 0.44/0.66  (step @p227 :rule trans :premises (@p226 @p225))
% 0.44/0.66  (step @p228 :rule refl :args (@t175))
% 0.44/0.66  (step @p229 :rule refl :args (@t134))
% 0.44/0.66  (step @p230 :rule cong :premises (@p229 @p228) :args ((= @t134 @t175)))
% 0.44/0.66  (step @p231 :rule symm :premises (@p230))
% 0.44/0.66  (step @p232 :rule eq_resolve :premises (@p229 @p231))
% 0.44/0.66  (step @p233 :rule cong :premises (@p80) :args (@t180))
% 0.44/0.66  (step @p234 :rule nary_cong :premises (@p233 @p232) :args (@t181))
% 0.44/0.66  (step @p235 :rule cong :premises (@p234) :args ((forall @t82 @t181)))
% 0.44/0.66  (step @p236 :rule bool-impl-elim :args (@t122 @t134))
% 0.44/0.66  (step @p237 :rule cong :premises (@p236) :args ((forall @t82 @t182)))
% 0.44/0.66  (step @p238 :rule trans :premises (@p237 @p235))
% 0.44/0.66  (step @p239 :rule beta-reduce :args ((= @t185 @t182)))
% 0.44/0.66  (step @p240 :rule cong :premises (@p239) :args (@t186))
% 0.44/0.66  (step @p241 :rule trans :premises (@p240 @p238))
% 0.44/0.66  (step @p242 :rule cong :premises (@p241) :args (@t187))
% 0.44/0.66  (step @p243 :rule beta-reduce :args ((= (_ @t107 @t184) @t187)))
% 0.44/0.66  (step @p244 :rule trans :premises (@p243 @p242))
% 0.44/0.66  (step @p245 :rule beta-reduce :args ((= (_ @t188 @t6) @t183)))
% 0.44/0.66  (step @p246 :rule beta-reduce :args ((= (_ @t189 @t43) @t188)))
% 0.44/0.66  (step @p247 :rule beta-reduce :args ((= @t190 @t189)))
% 0.44/0.66  (step @p248 :rule ho_cong :premises (@p247 @p125))
% 0.44/0.66  (step @p249 :rule trans :premises (@p248 @p246))
% 0.44/0.66  (step @p250 :rule ho_cong :premises (@p249 @p57))
% 0.44/0.66  (step @p251 :rule trans :premises (@p250 @p245))
% 0.44/0.66  (step @p252 :rule cong :premises (@p251) :args (@t191))
% 0.44/0.66  (step @p253 :rule ho_cong :premises (@p138 @p252))
% 0.44/0.66  (step @p254 :rule trans :premises (@p253 @p244))
% 0.44/0.66  (step @p255 :rule eq-symm :args (@t174 @t70))
% 0.44/0.66  (step @p256 :rule cong :premises (@p255) :args (@t192))
% 0.44/0.66  (step @p257 :rule beta-reduce :args ((= @t193 @t192)))
% 0.44/0.66  (step @p258 :rule trans :premises (@p257 @p256))
% 0.44/0.66  (step @p259 :rule ho_cong :premises (@p258 @p254))
% 0.44/0.66  (step @p260 :rule trans :premises (@p259 @p227))
% 0.44/0.66  (step @p261 :rule ho_cong :premises (@p260 @p57))
% 0.44/0.66  (step @p262 :rule trans :premises (@p261 @p217))
% 0.44/0.66  (step @p263 :rule cong :premises (@p262) :args (@t194))
% 0.44/0.66  (step @p264 :rule ho_cong :premises (@p138 @p263))
% 0.44/0.66  (step @p265 :rule trans :premises (@p264 @p216))
% 0.44/0.66  (step @p266 :rule ho_cong :premises (@p265 @p57))
% 0.44/0.66  (step @p267 :rule trans :premises (@p266 @p194))
% 0.44/0.66  (step @p268 :rule cong :premises (@p267) :args ((lambda @t22 (_ (_ @t107 @t194) @t6))))
% 0.44/0.66  (step @p269 :rule ho_cong :premises (@p138 @p268))
% 0.44/0.66  (step @p270 :rule trans :premises (@p269 @p193))
% 0.44/0.66  (step @p271 :rule ho_cong :premises (@p151 @p270))
% 0.44/0.66  (step @p272 :rule trans :premises (@p271 @p182))
% 0.44/0.66  (step @p273 :rule ho_cong :premises (@p40 @p154))
% 0.44/0.66  (step @p274 :rule ho_cong :premises (@p273 @p125))
% 0.44/0.66  (step @p275 :rule ho_cong :premises (@p274 @p57))
% 0.44/0.66  (step @p276 :rule cong :premises (@p275) :args (@t45))
% 0.44/0.66  (step @p277 :rule ho_cong :premises (@p169 @p276))
% 0.44/0.66  (step @p278 :rule refl :args (@t46))
% 0.44/0.66  (step @p279 :rule ho_cong :premises (@p41 @p278))
% 0.44/0.66  (step @p280 :rule ho_cong :premises (@p279 @p277))
% 0.44/0.66  (step @p281 :rule ho_cong :premises (@p280 @p57))
% 0.44/0.66  (step @p282 :rule cong :premises (@p281) :args (@t47))
% 0.44/0.66  (step @p283 :rule ho_cong :premises (@p169 @p282))
% 0.44/0.66  (step @p284 :rule ho_cong :premises (@p283 @p57))
% 0.44/0.66  (step @p285 :rule cong :premises (@p284) :args (@t48))
% 0.44/0.66  (step @p286 :rule ho_cong :premises (@p169 @p285))
% 0.44/0.66  (step @p287 :rule ho_cong :premises (@p36 @p286))
% 0.44/0.66  (step @p288 :rule trans :premises (@p287 @p272))
% 0.44/0.66  (step @p289 :rule eq_resolve :premises (@p23 @p288))
% 0.44/0.66  (step @p290 :rule instantiate :premises (@p289) :args ((@list @t197 @t198)))
% 0.44/0.66  (step @p291 :rule instantiate :premises (@p289) :args (@t199))
% 0.44/0.66  (step @p292 :rule bool-double-not-elim :args (@t204))
% 0.44/0.66  (step @p293 :rule refl :args (@t207))
% 0.44/0.66  (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t207 (not @t206))))
% 0.44/0.66  (step @p295 :rule cnf_or_neg :args (@t207 0))
% 0.44/0.66  (step @p296 :rule eq_resolve :premises (@p295 @p294))
% 0.44/0.66  (step @p297 :rule reordering :premises (@p296) :args ((or @t204 @t207)))
% 0.44/0.66  (step @p298 :rule cnf_or_neg :args (@t207 1))
% 0.44/0.66  (step @p299 :rule aci_norm :args ((= @t208 @t205)))
% 0.44/0.66  (step @p300 :rule refl :args (@t204))
% 0.44/0.66  (step @p301 :rule cong :premises (@p300 @p299) :args (@t209))
% 0.44/0.66  (step @p302 :rule refl :args (@t91))
% 0.44/0.66  (step @p303 :rule cong :premises (@p302 @p301) :args ((=> @t91 @t209)))
% 0.44/0.66  (assume-push @p491 @t91)
% 0.44/0.66  (step @p305 :rule instantiate :premises (@p179) :args ((@list @t203 @t197 @t197)))
% 0.44/0.66  (step-pop @p492 :rule scope :premises (@p305))
% 0.44/0.66  (step @p306 :rule process_scope :premises (@p492) :args (@t209))
% 0.44/0.66  (step @p308 :rule eq_resolve :premises (@p306 @p303))
% 0.44/0.66  (step @p309 :rule implies_elim :premises (@p308))
% 0.44/0.66  (step @p310 :rule chain_m_resolution :premises (@p309 @p179) :args (@t210 @t211 (@list @t91)))
% 0.44/0.66  (step @p311 :rule cnf_equiv_pos1 :args (@t210))
% 0.44/0.66  (step @p312 :rule reordering :premises (@p311) :args ((or @t206 @t205 (not @t210))))
% 0.44/0.66  (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p298 @p297) :args (@t207 (@list false true false) (@list @t210 @t205 @t204)))
% 0.44/0.66  (step @p314 :rule refl :args (@t212))
% 0.44/0.66  (step @p315 :rule bool-double-not-elim :args (@t202))
% 0.44/0.66  (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or (not @t213) @t212)))
% 0.44/0.66  (assume-push @p493 @t213)
% 0.44/0.66  (step @p318 :rule skolemize :premises (@p493))
% 0.44/0.66  (step-pop @p494 :rule scope :premises (@p318))
% 0.44/0.66  (step @p319 :rule process_scope :premises (@p494) :args (@t212))
% 0.44/0.66  (step @p321 :rule implies_elim :premises (@p319))
% 0.44/0.66  (step @p322 :rule eq_resolve :premises (@p321 @p316))
% 0.44/0.66  (step @p323 :rule chain_m_resolution :premises (@p322 @p313) :args (@t202 @t211 (@list @t207)))
% 0.44/0.66  (step @p324 :rule cnf_equiv_pos2 :args (@t215))
% 0.44/0.66  (step @p325 :rule reordering :premises (@p324) :args ((or @t214 @t213 (not @t215))))
% 0.44/0.66  (step @p326 :rule chain_m_resolution :premises (@p325 @p323 @p291) :args (@t214 (@list false false) (@list @t202 @t215)))
% 0.44/0.66  (step @p327 :rule beta-reduce :args ((= @t221 (forall @t217 (= (tptp.equal_set @t7 @t216 tptp.mactual) (and (tptp.subset @t7 @t216 tptp.mactual) (tptp.subset @t216 @t7 tptp.mactual)))))))
% 0.44/0.66  (step @p328 :rule beta-reduce :args ((= (_ @t65 @t220) @t221)))
% 0.44/0.66  (step @p329 :rule trans :premises (@p328 @p327))
% 0.44/0.66  (step @p330 :rule quant-merge-prenex :args ((= (forall @t82 @t223) @t219)))
% 0.44/0.66  (step @p331 :rule beta-reduce :args ((= (_ (lambda @t22 (forall @t222 (= (tptp.equal_set @t17 @t216 @t6) (and (tptp.subset @t17 @t216 @t6) (tptp.subset @t216 @t17 @t6))))) @t7 @t2) @t223)))
% 0.44/0.66  (step @p332 :rule alpha_equiv :args (@t224 @t118 (@list @t216)))
% 0.44/0.66  (step @p333 :rule cong :premises (@p332) :args (@t225))
% 0.44/0.66  (step @p334 :rule ho_cong :premises (@p333 @p85 @p83))
% 0.44/0.66  (step @p335 :rule trans :premises (@p334 @p331))
% 0.44/0.66  (step @p336 :rule cong :premises (@p335) :args (@t226))
% 0.44/0.66  (step @p337 :rule trans :premises (@p336 @p330))
% 0.44/0.66  (step @p338 :rule cong :premises (@p337) :args (@t227))
% 0.44/0.66  (step @p339 :rule beta-reduce :args ((= (_ @t107 @t225) @t227)))
% 0.44/0.66  (step @p340 :rule trans :premises (@p339 @p338))
% 0.44/0.66  (step @p341 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t82 (= @t229 (and @t165 @t228)))) @t6) @t224)))
% 0.44/0.66  (step @p342 :rule refl :args (@t228))
% 0.44/0.66  (step @p343 :rule refl :args (@t230))
% 0.44/0.66  (step @p344 :rule cong :premises (@p343 @p342) :args ((= @t230 @t228)))
% 0.44/0.66  (step @p345 :rule symm :premises (@p344))
% 0.44/0.66  (step @p346 :rule eq_resolve :premises (@p343 @p345))
% 0.44/0.66  (step @p347 :rule nary_cong :premises (@p200 @p346) :args (@t231))
% 0.44/0.66  (step @p348 :rule refl :args (@t229))
% 0.44/0.66  (step @p349 :rule refl :args (@t232))
% 0.44/0.66  (step @p350 :rule cong :premises (@p349 @p348) :args ((= @t232 @t229)))
% 0.44/0.66  (step @p351 :rule symm :premises (@p350))
% 0.44/0.66  (step @p352 :rule eq_resolve :premises (@p349 @p351))
% 0.44/0.66  (step @p353 :rule cong :premises (@p352 @p347) :args (@t233))
% 0.44/0.66  (step @p354 :rule cong :premises (@p353) :args ((forall @t82 @t233)))
% 0.44/0.66  (step @p355 :rule beta-reduce :args ((= @t236 @t233)))
% 0.44/0.66  (step @p356 :rule cong :premises (@p355) :args (@t237))
% 0.44/0.66  (step @p357 :rule trans :premises (@p356 @p354))
% 0.44/0.66  (step @p358 :rule cong :premises (@p357) :args (@t238))
% 0.44/0.66  (step @p359 :rule beta-reduce :args ((= (_ @t107 @t235) @t238)))
% 0.44/0.66  (step @p360 :rule trans :premises (@p359 @p358))
% 0.44/0.66  (step @p361 :rule beta-reduce :args ((= (_ (lambda @t5 (= @t240 @t239)) @t6) @t234)))
% 0.44/0.66  (step @p362 :rule beta-reduce :args ((= @t242 @t239)))
% 0.44/0.66  (step @p363 :rule refl :args (@t240))
% 0.44/0.66  (step @p364 :rule cong :premises (@p363 @p362) :args ((= @t240 @t242)))
% 0.44/0.66  (step @p365 :rule eq-symm :args (@t242 @t240))
% 0.44/0.66  (step @p366 :rule trans :premises (@p365 @p364))
% 0.44/0.66  (step @p367 :rule cong :premises (@p366) :args (@t243))
% 0.44/0.66  (step @p368 :rule beta-reduce :args ((= (_ (lambda @t140 (= @t70 @t240)) @t241) @t243)))
% 0.44/0.66  (step @p369 :rule trans :premises (@p368 @p367))
% 0.44/0.66  (step @p370 :rule beta-reduce :args ((= (_ @t244 @t49) @t241)))
% 0.44/0.66  (step @p371 :rule refl :args (@t49))
% 0.44/0.66  (step @p372 :rule beta-reduce :args ((= @t245 @t244)))
% 0.44/0.66  (step @p373 :rule ho_cong :premises (@p372 @p371))
% 0.44/0.66  (step @p374 :rule trans :premises (@p373 @p370))
% 0.44/0.66  (step @p375 :rule eq-symm :args (@t240 @t70))
% 0.44/0.66  (step @p376 :rule cong :premises (@p375) :args (@t246))
% 0.44/0.66  (step @p377 :rule beta-reduce :args ((= @t247 @t246)))
% 0.44/0.66  (step @p378 :rule trans :premises (@p377 @p376))
% 0.44/0.66  (step @p379 :rule ho_cong :premises (@p378 @p374))
% 0.44/0.66  (step @p380 :rule trans :premises (@p379 @p369))
% 0.44/0.66  (step @p381 :rule ho_cong :premises (@p380 @p57))
% 0.44/0.66  (step @p382 :rule trans :premises (@p381 @p361))
% 0.44/0.66  (step @p383 :rule cong :premises (@p382) :args (@t248))
% 0.44/0.66  (step @p384 :rule ho_cong :premises (@p138 @p383))
% 0.44/0.66  (step @p385 :rule trans :premises (@p384 @p360))
% 0.44/0.66  (step @p386 :rule ho_cong :premises (@p385 @p57))
% 0.44/0.66  (step @p387 :rule trans :premises (@p386 @p341))
% 0.44/0.66  (step @p388 :rule cong :premises (@p387) :args ((lambda @t22 (_ (_ @t107 @t248) @t6))))
% 0.44/0.66  (step @p389 :rule ho_cong :premises (@p138 @p388))
% 0.44/0.66  (step @p390 :rule trans :premises (@p389 @p340))
% 0.44/0.66  (step @p391 :rule ho_cong :premises (@p151 @p390))
% 0.44/0.66  (step @p392 :rule trans :premises (@p391 @p329))
% 0.44/0.66  (step @p393 :rule ho_cong :premises (@p38 @p278))
% 0.44/0.66  (step @p394 :rule ho_cong :premises (@p393 @p371))
% 0.44/0.66  (step @p395 :rule refl :args (@t50))
% 0.44/0.66  (step @p396 :rule ho_cong :premises (@p41 @p395))
% 0.44/0.66  (step @p397 :rule ho_cong :premises (@p396 @p394))
% 0.44/0.66  (step @p398 :rule ho_cong :premises (@p397 @p57))
% 0.44/0.66  (step @p399 :rule cong :premises (@p398) :args (@t51))
% 0.44/0.66  (step @p400 :rule ho_cong :premises (@p169 @p399))
% 0.44/0.66  (step @p401 :rule ho_cong :premises (@p400 @p57))
% 0.44/0.66  (step @p402 :rule cong :premises (@p401) :args (@t52))
% 0.44/0.66  (step @p403 :rule ho_cong :premises (@p169 @p402))
% 0.44/0.66  (step @p404 :rule ho_cong :premises (@p36 @p403))
% 0.44/0.66  (step @p405 :rule trans :premises (@p404 @p392))
% 0.44/0.66  (step @p406 :rule eq_resolve :premises (@p24 @p405))
% 0.44/0.66  (step @p407 :rule instantiate :premises (@p406) :args (@t199))
% 0.44/0.66  (step @p408 :rule beta-reduce :args ((= @t251 @t196)))
% 0.44/0.66  (step @p409 :rule beta-reduce :args ((= (_ @t65 @t250) @t251)))
% 0.44/0.66  (step @p410 :rule trans :premises (@p409 @p408))
% 0.44/0.66  (step @p411 :rule refl :args ((tptp.equal_set @t252 @t7 @t2)))
% 0.44/0.66  (step @p412 :rule refl :args (@t195))
% 0.44/0.66  (step @p413 :rule cong :premises (@p412 @p85 @p83) :args (@t249))
% 0.44/0.66  (step @p414 :rule trans :premises (@p413 @p411))
% 0.44/0.66  (step @p415 :rule refl :args (tptp.equal_set))
% 0.44/0.66  (step @p416 :rule ho_cong :premises (@p415 @p412))
% 0.44/0.66  (step @p417 :rule ho_cong :premises (@p416 @p85))
% 0.44/0.66  (step @p418 :rule ho_cong :premises (@p417 @p83))
% 0.44/0.66  (step @p419 :rule cong :premises (@p418 @p414) :args ((= (_ (_ (_ tptp.equal_set @t195) @t7) @t2) @t249)))
% 0.44/0.66  (step @p420 :rule symm :premises (@p419))
% 0.44/0.66  (step @p421 :rule refl :args (@t253))
% 0.44/0.66  (step @p422 :rule eq_resolve :premises (@p421 @p420))
% 0.44/0.66  (step @p423 :rule refl :args (@t252))
% 0.44/0.66  (step @p424 :rule cong :premises (@p423 @p412) :args ((= @t252 @t195)))
% 0.44/0.66  (step @p425 :rule symm :premises (@p424))
% 0.44/0.66  (step @p426 :rule eq_resolve :premises (@p423 @p425))
% 0.44/0.66  (step @p427 :rule ho_cong :premises (@p415 @p426))
% 0.44/0.66  (step @p428 :rule ho_cong :premises (@p427 @p85))
% 0.44/0.66  (step @p429 :rule ho_cong :premises (@p428 @p83))
% 0.44/0.66  (step @p430 :rule trans :premises (@p429 @p422))
% 0.44/0.66  (step @p431 :rule cong :premises (@p430) :args ((forall @t82 @t253)))
% 0.44/0.66  (step @p432 :rule beta-reduce :args ((= @t254 @t253)))
% 0.44/0.66  (step @p433 :rule cong :premises (@p432) :args (@t255))
% 0.44/0.66  (step @p434 :rule trans :premises (@p433 @p431))
% 0.44/0.66  (step @p435 :rule cong :premises (@p434) :args (@t256))
% 0.44/0.66  (step @p436 :rule beta-reduce :args ((= @t257 @t256)))
% 0.44/0.66  (step @p437 :rule trans :premises (@p436 @p435))
% 0.44/0.66  (step @p438 :rule ho_cong :premises (@p151 @p437))
% 0.44/0.66  (step @p439 :rule trans :premises (@p438 @p410))
% 0.44/0.66  (step @p440 :rule cong :premises (@p439) :args ((not (_ @t65 @t257))))
% 0.44/0.66  (step @p441 :rule refl :args (@t62))
% 0.44/0.66  (step @p442 :rule ho_cong :premises (@p169 @p441))
% 0.44/0.66  (step @p443 :rule ho_cong :premises (@p36 @p442))
% 0.44/0.66  (step @p444 :rule cong :premises (@p443) :args (@t63))
% 0.44/0.66  (step @p445 :rule trans :premises (@p444 @p440))
% 0.44/0.66  (step @p446 :rule eq_resolve :premises (@p34 @p445))
% 0.44/0.66  (step @p447 :rule skolemize :premises (@p446))
% 0.44/0.66  (step @p448 :rule cnf_equiv_pos2 :args (@t261))
% 0.44/0.66  (step @p449 :rule reordering :premises (@p448) :args ((or @t260 @t262 (not @t261))))
% 0.44/0.66  (step @p450 :rule chain_m_resolution :premises (@p449 @p447 @p407) :args (@t262 @t263 (@list @t260 @t261)))
% 0.44/0.66  (step @p451 :rule cnf_and_neg :args (@t259))
% 0.44/0.66  (step @p452 :rule chain_m_resolution :premises (@p451 @p450 @p326) :args ((not @t258) @t263 (@list @t259 @t214)))
% 0.44/0.66  (step @p453 :rule cnf_equiv_pos2 :args (@t265))
% 0.44/0.66  (step @p454 :rule reordering :premises (@p453) :args ((or @t258 @t266 (not @t265))))
% 0.44/0.66  (step @p455 :rule chain_m_resolution :premises (@p454 @p452 @p290) :args (@t266 @t263 (@list @t258 @t265)))
% 0.44/0.66  (step @p456 :rule refl :args (@t272))
% 0.44/0.66  (step @p457 :rule bool-double-not-elim :args (@t264))
% 0.44/0.66  (step @p458 :rule nary_cong :premises (@p457 @p456) :args ((or (not @t266) @t272)))
% 0.44/0.66  (assume-push @p495 @t266)
% 0.44/0.66  (step @p460 :rule skolemize :premises (@p495))
% 0.44/0.66  (step-pop @p496 :rule scope :premises (@p460))
% 0.44/0.66  (step @p461 :rule process_scope :premises (@p496) :args (@t272))
% 0.44/0.66  (step @p463 :rule implies_elim :premises (@p461))
% 0.44/0.66  (step @p464 :rule eq_resolve :premises (@p463 @p458))
% 0.44/0.66  (step @p465 :rule chain_m_resolution :premises (@p464 @p455) :args (@t272 @t273 (@list @t264)))
% 0.44/0.66  (step @p466 :rule cnf_or_neg :args (@t271 1))
% 0.44/0.66  (step @p467 :rule chain_m_resolution :premises (@p466 @p465) :args ((not @t268) @t273 @t274))
% 0.44/0.66  (step @p468 :rule bool-double-not-elim :args (@t269))
% 0.44/0.66  (step @p469 :rule refl :args (@t271))
% 0.44/0.66  (step @p470 :rule nary_cong :premises (@p469 @p468) :args ((or @t271 (not @t270))))
% 0.44/0.66  (step @p471 :rule cnf_or_neg :args (@t271 0))
% 0.44/0.66  (step @p472 :rule eq_resolve :premises (@p471 @p470))
% 0.44/0.66  (step @p473 :rule reordering :premises (@p472) :args ((or @t269 @t271)))
% 0.44/0.66  (step @p474 :rule chain_m_resolution :premises (@p473 @p465) :args (@t269 @t273 @t274))
% 0.44/0.66  (step @p475 :rule cnf_equiv_pos1 :args (@t275))
% 0.44/0.66  (step @p476 :rule reordering :premises (@p475) :args ((or @t270 @t268 @t276)))
% 0.44/0.66  (step @p477 :rule chain_m_resolution :premises (@p476 @p474 @p467) :args (@t276 (@list false true) (@list @t269 @t268)))
% 0.44/0.66  (step @p478 :rule eq-symm :args (@t268 @t269))
% 0.44/0.66  (step @p479 :rule aci_norm :args ((= @t277 @t269)))
% 0.44/0.66  (step @p480 :rule refl :args (@t268))
% 0.44/0.66  (step @p481 :rule cong :premises (@p480 @p479) :args (@t278))
% 0.44/0.66  (step @p482 :rule trans :premises (@p481 @p478))
% 0.44/0.66  (step @p483 :rule cong :premises (@p302 @p482) :args ((=> @t91 @t278)))
% 0.44/0.66  (assume-push @p497 @t91)
% 0.44/0.66  (step @p485 :rule instantiate :premises (@p179) :args ((@list @t267 @t197 @t197)))
% 0.44/0.66  (step-pop @p498 :rule scope :premises (@p485))
% 0.44/0.66  (step @p486 :rule process_scope :premises (@p498) :args (@t278))
% 0.44/0.66  (step @p488 :rule eq_resolve :premises (@p486 @p483))
% 0.44/0.66  (step @p489 :rule implies_elim :premises (@p488))
% 0.44/0.66  (step @p490 false :rule chain_m_resolution :premises (@p489 @p477 @p179) :args (false @t263 (@list @t275 @t91)))
% 0.44/0.66  )
% 0.44/0.66  % SZS output end Proof
% 0.44/0.66  % cvc5 exiting
%------------------------------------------------------------------------------