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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL960^12 : 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 : n027.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 11:24:16 AM UTC 2026

% Result   : Theorem 167.15s 168.10s
% Output   : Proof 167.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL960^12 : 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
% 0.09/0.36  % Computer : n027.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.02/0.36  % CPULimit : 300
% 0.02/0.36  % WCLimit  : 300
% 0.02/0.36  % DateTime : Sat Sep  5 06:05:13 UTC 2026
% 0.02/0.36  % CPUTime  : 
% 0.02/0.43  %----Proving TH0
% 167.15/168.10  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 167.15/168.10  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s...
% 167.15/168.10  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s...
% 167.15/168.10  --- Run --ho-elim --full-saturate-quant at 18s...
% 167.15/168.10  % SZS status Theorem
% 167.15/168.10  % SZS output start Proof
% 167.15/168.10  (
% 167.15/168.10  (declare-sort $$unsorted 0)
% 167.15/168.10  (declare-sort tptp.mworld 0)
% 167.15/168.10  (declare-const tptp.mactual tptp.mworld)
% 167.15/168.10  (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool))
% 167.15/168.10  (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool))
% 167.15/168.10  (declare-const tptp.f (-> $$unsorted $$unsorted tptp.mworld Bool))
% 167.15/168.10  (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual))))
% 167.15/168.10  (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))))))
% 167.15/168.10  (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)))))))
% 167.15/168.10  (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)))))))
% 167.15/168.10  (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)))))))
% 167.15/168.10  (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)))))))
% 167.15/168.10  (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))))))))
% 167.15/168.10  (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))))))))
% 167.15/168.10  (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))))))))
% 167.15/168.10  (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))))))))
% 167.15/168.10  (define @t1 () (@var "V" tptp.mworld))
% 167.15/168.10  (define @t2 () (@var "W" tptp.mworld))
% 167.15/168.10  (define @t3 () (_ (_ tptp.mrel @t2) @t1))
% 167.15/168.10  (define @t4 () (@list @t2 @t1))
% 167.15/168.10  (define @t5 () (forall @t4 @t3))
% 167.15/168.10  (define @t6 () (@var "X" $$unsorted))
% 167.15/168.10  (define @t7 () (_ (_ tptp.eiw_di @t6) @t2))
% 167.15/168.10  (define @t8 () (@list @t6))
% 167.15/168.10  (define @t9 () (@list @t2))
% 167.15/168.10  (define @t10 () (@var "__flatten_var_0" tptp.mworld))
% 167.15/168.10  (define @t11 () (@var "V" $$unsorted))
% 167.15/168.10  (define @t12 () (@var "U" $$unsorted))
% 167.15/168.10  (define @t13 () (_ (_ tptp.f @t12) @t11))
% 167.15/168.10  (define @t14 () (@list @t12 @t10))
% 167.15/168.10  (define @t15 () (lambda @t14 (_ (_ tptp.mbox @t13) @t10)))
% 167.15/168.10  (define @t16 () (@list @t11 @t10))
% 167.15/168.10  (define @t17 () (lambda @t16 (_ (_ tptp.mbox (_ tptp.mforall_di @t15)) @t10)))
% 167.15/168.10  (define @t18 () (@var "Y" $$unsorted))
% 167.15/168.10  (define @t19 () (_ tptp.f @t6))
% 167.15/168.10  (define @t20 () (_ @t19 @t18))
% 167.15/168.10  (define @t21 () (_ tptp.mbox @t20))
% 167.15/168.10  (define @t22 () (_ @t19 @t6))
% 167.15/168.10  (define @t23 () (@var "Z" $$unsorted))
% 167.15/168.10  (define @t24 () (_ @t19 @t23))
% 167.15/168.10  (define @t25 () (_ (_ tptp.mand (_ tptp.mbox @t24)) (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox @t22)))))
% 167.15/168.10  (define @t26 () (@list @t6 @t10))
% 167.15/168.10  (define @t27 () (lambda @t26 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t21) @t25))) (_ tptp.mbox (_ (_ tptp.mimplies @t25) @t21))) @t10)))
% 167.15/168.10  (define @t28 () (@list @t18 @t10))
% 167.15/168.10  (define @t29 () (lambda @t28 (_ (_ tptp.mbox (_ tptp.mforall_di @t27)) @t10)))
% 167.15/168.10  (define @t30 () (@list @t23 @t10))
% 167.15/168.10  (define @t31 () (lambda @t30 (_ (_ tptp.mexists_di @t29) @t10)))
% 167.15/168.10  (define @t32 () (not (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ tptp.mforall_di @t31))) (_ tptp.mbox (_ tptp.mnot (_ tptp.mexists_di @t17))))))))
% 167.15/168.10  (define @t33 () (@var "Phi" (-> tptp.mworld Bool)))
% 167.15/168.10  (define @t34 () (lambda (@list @t33) (_ @t33 tptp.mactual)))
% 167.15/168.10  (define @t35 () (@var "A" (-> tptp.mworld Bool)))
% 167.15/168.10  (define @t36 () (_ @t35 @t2))
% 167.15/168.10  (define @t37 () (lambda (@list @t35 @t2) (not @t36)))
% 167.15/168.10  (define @t38 () (@var "B" (-> tptp.mworld Bool)))
% 167.15/168.10  (define @t39 () (_ @t38 @t2))
% 167.15/168.10  (define @t40 () (@list @t35 @t38 @t2))
% 167.15/168.10  (define @t41 () (lambda @t40 (and @t36 @t39)))
% 167.15/168.10  (define @t42 () (lambda @t40 (or @t36 @t39)))
% 167.15/168.10  (define @t43 () (lambda @t40 (=> @t36 @t39)))
% 167.15/168.10  (define @t44 () (lambda @t40 (= @t36 @t39)))
% 167.15/168.10  (define @t45 () (_ @t33 @t1))
% 167.15/168.10  (define @t46 () (@list @t1))
% 167.15/168.10  (define @t47 () (forall @t46 (=> @t3 @t45)))
% 167.15/168.10  (define @t48 () (@list @t33 @t2))
% 167.15/168.10  (define @t49 () (lambda @t48 @t47))
% 167.15/168.10  (define @t50 () (lambda @t48 (exists @t46 (and @t3 @t45))))
% 167.15/168.10  (define @t51 () (@var "A" (-> $$unsorted tptp.mworld Bool)))
% 167.15/168.10  (define @t52 () (_ (_ @t51 @t6) @t2))
% 167.15/168.10  (define @t53 () (forall @t8 (=> @t7 @t52)))
% 167.15/168.10  (define @t54 () (@list @t51 @t2))
% 167.15/168.10  (define @t55 () (lambda @t54 @t53))
% 167.15/168.10  (define @t56 () (and @t7 @t52))
% 167.15/168.10  (define @t57 () (exists @t8 @t56))
% 167.15/168.10  (define @t58 () (lambda @t54 @t57))
% 167.15/168.10  (define @t59 () (@const 0 (@ho-elim-sort (-> tptp.mworld tptp.mworld Bool))))
% 167.15/168.10  (define @t60 () (@const 1 (-> (@ho-elim-sort (-> tptp.mworld tptp.mworld Bool)) tptp.mworld (@ho-elim-sort (-> tptp.mworld Bool)))))
% 167.15/168.10  (define @t61 () (@const 2 (-> (@ho-elim-sort (-> tptp.mworld Bool)) tptp.mworld Bool)))
% 167.15/168.10  (define @t62 () (forall @t4 (_ @t61 (_ @t60 @t59 @t2) @t1)))
% 167.15/168.10  (define @t63 () (tptp.mrel @t2 @t1))
% 167.15/168.10  (define @t64 () (@var "BOUND_VARIABLE_8327" tptp.mworld))
% 167.15/168.10  (define @t65 () (@var "BOUND_VARIABLE_8476" $$unsorted))
% 167.15/168.10  (define @t66 () (@var "BOUND_VARIABLE_8325" $$unsorted))
% 167.15/168.10  (define @t67 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted tptp.mworld Bool))))
% 167.15/168.10  (define @t68 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted tptp.mworld Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted tptp.mworld Bool)))))
% 167.15/168.10  (define @t69 () (_ @t68 @t67 @t66))
% 167.15/168.10  (define @t70 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted tptp.mworld Bool)) $$unsorted (@ho-elim-sort (-> tptp.mworld Bool)))))
% 167.15/168.10  (define @t71 () (@var "BOUND_VARIABLE_8372" tptp.mworld))
% 167.15/168.10  (define @t72 () (not (_ @t61 (_ @t60 @t59 @t71) @t64)))
% 167.15/168.10  (define @t73 () (@const 6 (@ho-elim-sort (-> $$unsorted tptp.mworld Bool))))
% 167.15/168.10  (define @t74 () (not (_ @t61 (_ @t70 @t73 @t66) @t71)))
% 167.15/168.10  (define @t75 () (@var "BOUND_VARIABLE_8474" tptp.mworld))
% 167.15/168.10  (define @t76 () (@list @t71 @t66 @t64))
% 167.15/168.10  (define @t77 () (_ @t60 @t59 @t1))
% 167.15/168.10  (define @t78 () (@var "BOUND_VARIABLE_8059" tptp.mworld))
% 167.15/168.10  (define @t79 () (@var "BOUND_VARIABLE_8157" $$unsorted))
% 167.15/168.10  (define @t80 () (@var "BOUND_VARIABLE_8049" $$unsorted))
% 167.15/168.10  (define @t81 () (_ @t68 @t67 @t80))
% 167.15/168.10  (define @t82 () (_ @t70 @t81 @t79))
% 167.15/168.10  (define @t83 () (_ @t61 @t82 @t78))
% 167.15/168.10  (define @t84 () (@var "BOUND_VARIABLE_8057" tptp.mworld))
% 167.15/168.10  (define @t85 () (_ @t60 @t59 @t84))
% 167.15/168.10  (define @t86 () (not (_ @t61 @t85 @t78)))
% 167.15/168.10  (define @t87 () (@var "BOUND_VARIABLE_7756" tptp.mworld))
% 167.15/168.10  (define @t88 () (_ @t61 (_ @t70 @t81 @t80) @t87))
% 167.15/168.10  (define @t89 () (@var "BOUND_VARIABLE_7896" tptp.mworld))
% 167.15/168.10  (define @t90 () (not (_ @t61 (_ @t60 @t59 @t89) @t87)))
% 167.15/168.10  (define @t91 () (@list @t87))
% 167.15/168.10  (define @t92 () (@list @t89))
% 167.15/168.10  (define @t93 () (not (forall @t92 (or (not (_ @t61 @t85 @t89)) (not (forall @t91 (or @t90 @t88)))))))
% 167.15/168.10  (define @t94 () (@var "BOUND_VARIABLE_7908" tptp.mworld))
% 167.15/168.10  (define @t95 () (@var "BOUND_VARIABLE_8242" $$unsorted))
% 167.15/168.10  (define @t96 () (_ @t70 @t81 @t95))
% 167.15/168.10  (define @t97 () (not (_ @t61 @t85 @t94)))
% 167.15/168.10  (define @t98 () (@list @t94))
% 167.15/168.10  (define @t99 () (@var "BOUND_VARIABLE_8204" tptp.mworld))
% 167.15/168.10  (define @t100 () (_ @t60 @t59 @t99))
% 167.15/168.10  (define @t101 () (not (_ @t61 @t100 @t84)))
% 167.15/168.10  (define @t102 () (@var "BOUND_VARIABLE_8055" tptp.mworld))
% 167.15/168.10  (define @t103 () (@var "BOUND_VARIABLE_8051" tptp.mworld))
% 167.15/168.10  (define @t104 () (_ @t60 @t59 @t103))
% 167.15/168.10  (define @t105 () (or (not (_ @t61 @t104 @t102)) (not (forall @t91 (or (not (_ @t61 (_ @t60 @t59 @t102) @t87)) @t88)))))
% 167.15/168.10  (define @t106 () (@var "BOUND_VARIABLE_8053" tptp.mworld))
% 167.15/168.10  (define @t107 () (not (_ @t61 @t104 @t106)))
% 167.15/168.10  (define @t108 () (@var "BOUND_VARIABLE_7814" tptp.mworld))
% 167.15/168.10  (define @t109 () (not (_ @t61 @t104 @t108)))
% 167.15/168.10  (define @t110 () (@list @t108))
% 167.15/168.10  (define @t111 () (not (forall @t110 (or @t109 (_ @t61 @t82 @t108)))))
% 167.15/168.10  (define @t112 () (not (_ @t61 @t100 @t103)))
% 167.15/168.10  (define @t113 () (not (_ @t61 (_ @t70 @t73 @t80) @t99)))
% 167.15/168.10  (define @t114 () (@var "BOUND_VARIABLE_8437" tptp.mworld))
% 167.15/168.10  (define @t115 () (@list @t99 @t80 @t103 @t106 @t102 @t84 @t78))
% 167.15/168.10  (define @t116 () (_ @t70 @t73 @t79))
% 167.15/168.10  (define @t117 () (@list @t79))
% 167.15/168.10  (define @t118 () (not (forall @t117 (or (not (_ @t61 @t116 @t114)) (not (forall @t115 (or (not (_ @t61 (_ @t60 @t59 @t114) @t99)) @t113 (and (or @t112 @t111 (and (or @t107 (_ @t61 @t96 @t106)) @t105)) (or @t101 (not (forall @t98 (or @t97 (_ @t61 @t96 @t94)))) @t93 @t86 @t83)))))))))
% 167.15/168.10  (define @t119 () (not (_ @t61 (_ @t70 @t73 @t95) @t114)))
% 167.15/168.10  (define @t120 () (@list @t114 @t95))
% 167.15/168.10  (define @t121 () (_ @t60 @t59 tptp.mactual))
% 167.15/168.10  (define @t122 () (@list @t1 @t75 @t65))
% 167.15/168.10  (define @t123 () (forall @t122 (or (not (_ @t61 @t121 @t1)) (not (forall @t120 (or (not (_ @t61 @t77 @t114)) @t119 @t118))) (not (_ @t61 @t77 @t75)) (not (_ @t61 (_ @t70 @t73 @t65) @t75)) (not (forall @t76 (or (not (_ @t61 (_ @t60 @t59 @t75) @t71)) @t74 @t72 (_ @t61 (_ @t70 @t69 @t65) @t64)))))))
% 167.15/168.10  (define @t124 () (not (tptp.mrel @t71 @t64)))
% 167.15/168.10  (define @t125 () (not (tptp.eiw_di @t66 @t71)))
% 167.15/168.10  (define @t126 () (not (forall @t76 (or (not (tptp.mrel @t75 @t71)) @t125 @t124 (tptp.f @t66 @t65 @t64)))))
% 167.15/168.10  (define @t127 () (not (tptp.eiw_di @t65 @t75)))
% 167.15/168.10  (define @t128 () (not (tptp.mrel @t1 @t75)))
% 167.15/168.10  (define @t129 () (tptp.f @t80 @t79 @t78))
% 167.15/168.10  (define @t130 () (not (tptp.mrel @t84 @t78)))
% 167.15/168.10  (define @t131 () (tptp.f @t80 @t80 @t87))
% 167.15/168.10  (define @t132 () (not (tptp.mrel @t89 @t87)))
% 167.15/168.10  (define @t133 () (not (forall @t92 (or (not (tptp.mrel @t84 @t89)) (not (forall @t91 (or @t132 @t131)))))))
% 167.15/168.10  (define @t134 () (not (tptp.mrel @t84 @t94)))
% 167.15/168.10  (define @t135 () (not (tptp.mrel @t99 @t84)))
% 167.15/168.10  (define @t136 () (or (not (tptp.mrel @t103 @t102)) (not (forall @t91 (or (not (tptp.mrel @t102 @t87)) @t131)))))
% 167.15/168.10  (define @t137 () (not (tptp.mrel @t103 @t106)))
% 167.15/168.10  (define @t138 () (not (tptp.mrel @t103 @t108)))
% 167.15/168.10  (define @t139 () (not (forall @t110 (or @t138 (tptp.f @t80 @t79 @t108)))))
% 167.15/168.10  (define @t140 () (not (tptp.mrel @t99 @t103)))
% 167.15/168.10  (define @t141 () (and (or @t140 @t139 (and (or @t137 (tptp.f @t80 @t95 @t106)) @t136)) (or @t135 (not (forall @t98 (or @t134 (tptp.f @t80 @t95 @t94)))) @t133 @t130 @t129)))
% 167.15/168.10  (define @t142 () (not (tptp.eiw_di @t80 @t99)))
% 167.15/168.10  (define @t143 () (not (forall @t117 (or (not (tptp.eiw_di @t79 @t114)) (not (forall @t115 (or (not (tptp.mrel @t114 @t99)) @t142 @t141)))))))
% 167.15/168.10  (define @t144 () (not (tptp.eiw_di @t95 @t114)))
% 167.15/168.10  (define @t145 () (forall @t120 (or (not (tptp.mrel @t1 @t114)) @t144 @t143)))
% 167.15/168.10  (define @t146 () (not @t145))
% 167.15/168.10  (define @t147 () (forall @t122 (or (not (tptp.mrel tptp.mactual @t1)) @t146 @t128 @t127 @t126)))
% 167.15/168.10  (define @t148 () (not @t63))
% 167.15/168.10  (define @t149 () (or @t148 @t146 @t128 @t127 @t126))
% 167.15/168.10  (define @t150 () (lambda @t9 (forall @t122 @t149)))
% 167.15/168.10  (define @t151 () (_ @t150 tptp.mactual))
% 167.15/168.10  (define @t152 () (or @t128 @t127 @t126))
% 167.15/168.10  (define @t153 () (or @t148 @t146 @t152))
% 167.15/168.10  (define @t154 () (forall @t122 @t153))
% 167.15/168.10  (define @t155 () (@list @t75 @t65))
% 167.15/168.10  (define @t156 () (forall @t155 @t153))
% 167.15/168.10  (define @t157 () (forall @t155 @t152))
% 167.15/168.10  (define @t158 () (@var "BOUND_VARIABLE_8397" $$unsorted))
% 167.15/168.10  (define @t159 () (@var "BOUND_VARIABLE_8423" tptp.mworld))
% 167.15/168.10  (define @t160 () (or @t148 @t146 @t157))
% 167.15/168.10  (define @t161 () (tptp.f @t66 @t158 @t64))
% 167.15/168.10  (define @t162 () (not (forall @t76 (or (not (tptp.mrel @t159 @t71)) @t125 @t124 @t161))))
% 167.15/168.10  (define @t163 () (not (tptp.eiw_di @t158 @t159)))
% 167.15/168.10  (define @t164 () (@list @t159 @t158))
% 167.15/168.10  (define @t165 () (forall @t164 (or (not (tptp.mrel @t1 @t159)) @t163 @t162)))
% 167.15/168.10  (define @t166 () (or @t148 @t146 @t165))
% 167.15/168.10  (define @t167 () (=> @t145 @t165))
% 167.15/168.10  (define @t168 () (or @t148 @t167))
% 167.15/168.10  (define @t169 () (not (tptp.mrel @t1 @t71)))
% 167.15/168.10  (define @t170 () (not (forall @t76 (or @t169 @t125 @t124 @t161))))
% 167.15/168.10  (define @t171 () (not (tptp.eiw_di @t158 @t1)))
% 167.15/168.10  (define @t172 () (or @t148 @t171 @t170))
% 167.15/168.10  (define @t173 () (@list @t1 @t158))
% 167.15/168.10  (define @t174 () (forall @t173 @t172))
% 167.15/168.10  (define @t175 () (@list @t1))
% 167.15/168.10  (define @t176 () (not (tptp.mrel @t1 @t99)))
% 167.15/168.10  (define @t177 () (not (tptp.eiw_di @t79 @t1)))
% 167.15/168.10  (define @t178 () (not (forall @t117 (or @t177 (not (forall @t115 (or @t176 @t142 @t141)))))))
% 167.15/168.10  (define @t179 () (not (tptp.eiw_di @t95 @t1)))
% 167.15/168.10  (define @t180 () (or @t148 @t179 @t178))
% 167.15/168.10  (define @t181 () (@list @t1 @t95))
% 167.15/168.10  (define @t182 () (forall @t181 @t180))
% 167.15/168.10  (define @t183 () (=> @t182 @t174))
% 167.15/168.10  (define @t184 () (lambda @t9 @t183))
% 167.15/168.10  (define @t185 () (or @t148 (_ @t184 @t1)))
% 167.15/168.10  (define @t186 () (forall @t46 @t185))
% 167.15/168.10  (define @t187 () (lambda @t9 @t186))
% 167.15/168.10  (define @t188 () (_ @t33 @t1))
% 167.15/168.10  (define @t189 () (lambda @t48 (forall @t46 (or @t148 @t188))))
% 167.15/168.10  (define @t190 () (lambda @t9 @t174))
% 167.15/168.10  (define @t191 () (_ @t190 @t2))
% 167.15/168.10  (define @t192 () (=> @t182 @t191))
% 167.15/168.10  (define @t193 () (lambda @t9 @t192))
% 167.15/168.10  (define @t194 () (@list @t38 @t2))
% 167.15/168.10  (define @t195 () (or @t171 @t170))
% 167.15/168.10  (define @t196 () (or @t148 @t195))
% 167.15/168.10  (define @t197 () (forall @t173 @t196))
% 167.15/168.10  (define @t198 () (@list @t158))
% 167.15/168.10  (define @t199 () (forall @t198 @t196))
% 167.15/168.10  (define @t200 () (forall @t198 @t195))
% 167.15/168.10  (define @t201 () (@list @t6))
% 167.15/168.10  (define @t202 () (or @t148 @t200))
% 167.15/168.10  (define @t203 () (tptp.f @t66 @t6 @t64))
% 167.15/168.10  (define @t204 () (not (tptp.eiw_di @t6 @t1)))
% 167.15/168.10  (define @t205 () (forall @t8 (or @t204 (not (forall @t76 (or @t169 @t125 @t124 @t203))))))
% 167.15/168.10  (define @t206 () (tptp.eiw_di @t6 @t2))
% 167.15/168.10  (define @t207 () (not @t206))
% 167.15/168.10  (define @t208 () (not (tptp.mrel @t1 @t64)))
% 167.15/168.10  (define @t209 () (not (tptp.eiw_di @t66 @t1)))
% 167.15/168.10  (define @t210 () (@list @t1 @t66 @t64))
% 167.15/168.10  (define @t211 () (forall @t210 (or @t148 @t209 @t208 @t203)))
% 167.15/168.10  (define @t212 () (not @t211))
% 167.15/168.10  (define @t213 () (or @t207 @t212))
% 167.15/168.10  (define @t214 () (forall @t8 @t213))
% 167.15/168.10  (define @t215 () (lambda @t9 @t214))
% 167.15/168.10  (define @t216 () (or @t148 (_ @t215 @t1)))
% 167.15/168.10  (define @t217 () (forall @t46 @t216))
% 167.15/168.10  (define @t218 () (lambda @t9 @t217))
% 167.15/168.10  (define @t219 () (not @t214))
% 167.15/168.10  (define @t220 () (lambda @t9 @t219))
% 167.15/168.10  (define @t221 () (_ @t220 @t2))
% 167.15/168.10  (define @t222 () (not @t221))
% 167.15/168.10  (define @t223 () (lambda @t9 @t222))
% 167.15/168.10  (define @t224 () (tptp.f @t66 @t11 @t64))
% 167.15/168.10  (define @t225 () (not (tptp.mrel @t10 @t1)))
% 167.15/168.10  (define @t226 () (forall @t210 (or @t225 @t209 @t208 @t224)))
% 167.15/168.10  (define @t227 () (lambda @t16 @t226))
% 167.15/168.10  (define @t228 () (_ @t227 @t6 @t2))
% 167.15/168.10  (define @t229 () (not @t228))
% 167.15/168.10  (define @t230 () (or @t207 @t229))
% 167.15/168.10  (define @t231 () (forall @t8 @t230))
% 167.15/168.10  (define @t232 () (not @t231))
% 167.15/168.10  (define @t233 () (lambda @t9 @t232))
% 167.15/168.10  (define @t234 () (_ @t51 @t6 @t2))
% 167.15/168.10  (define @t235 () (lambda @t54 (not (forall @t8 (or @t207 (not @t234))))))
% 167.15/168.10  (define @t236 () (or @t148 @t209 @t208 @t224))
% 167.15/168.10  (define @t237 () (or @t209 @t208 @t224))
% 167.15/168.10  (define @t238 () (or @t148 @t237))
% 167.15/168.10  (define @t239 () (forall @t210 @t238))
% 167.15/168.10  (define @t240 () (@list @t66 @t64))
% 167.15/168.10  (define @t241 () (forall @t240 @t238))
% 167.15/168.10  (define @t242 () (forall @t240 @t237))
% 167.15/168.10  (define @t243 () (@var "BOUND_VARIABLE_8302" tptp.mworld))
% 167.15/168.10  (define @t244 () (or @t148 @t242))
% 167.15/168.10  (define @t245 () (tptp.f @t6 @t11 @t243))
% 167.15/168.10  (define @t246 () (@list @t6 @t243))
% 167.15/168.10  (define @t247 () (forall @t246 (or @t204 (not (tptp.mrel @t1 @t243)) @t245)))
% 167.15/168.10  (define @t248 () (not (tptp.mrel @t2 @t243)))
% 167.15/168.10  (define @t249 () (or @t207 @t248 @t245))
% 167.15/168.10  (define @t250 () (lambda @t9 (forall @t246 @t249)))
% 167.15/168.10  (define @t251 () (_ @t250 @t1))
% 167.15/168.10  (define @t252 () (or @t148 @t251))
% 167.15/168.10  (define @t253 () (forall @t46 @t252))
% 167.15/168.10  (define @t254 () (lambda @t9 @t253))
% 167.15/168.10  (define @t255 () (or @t248 @t245))
% 167.15/168.10  (define @t256 () (or @t207 @t255))
% 167.15/168.10  (define @t257 () (forall @t246 @t256))
% 167.15/168.10  (define @t258 () (@list @t243))
% 167.15/168.10  (define @t259 () (forall @t258 @t256))
% 167.15/168.10  (define @t260 () (forall @t258 @t255))
% 167.15/168.10  (define @t261 () (or @t207 @t260))
% 167.15/168.10  (define @t262 () (forall @t46 (or @t148 (tptp.f @t6 @t11 @t1))))
% 167.15/168.10  (define @t263 () (tptp.f @t12 @t11 @t1))
% 167.15/168.10  (define @t264 () (forall @t46 (or @t225 @t263)))
% 167.15/168.10  (define @t265 () (lambda @t14 @t264))
% 167.15/168.10  (define @t266 () (_ @t265 @t6 @t2))
% 167.15/168.10  (define @t267 () (or @t207 @t266))
% 167.15/168.10  (define @t268 () (forall @t8 @t267))
% 167.15/168.10  (define @t269 () (lambda @t9 @t268))
% 167.15/168.10  (define @t270 () (lambda @t54 (forall @t8 (or @t207 @t234))))
% 167.15/168.10  (define @t271 () (_ @t13 @t1))
% 167.15/168.10  (define @t272 () (or @t148 @t271))
% 167.15/168.10  (define @t273 () (_ @t13 @t1))
% 167.15/168.10  (define @t274 () (or @t148 @t273))
% 167.15/168.10  (define @t275 () (forall @t46 @t274))
% 167.15/168.10  (define @t276 () (lambda @t9 @t275))
% 167.15/168.10  (define @t277 () (_ @t189 @t13))
% 167.15/168.10  (define @t278 () (lambda @t14 (_ @t277 @t10)))
% 167.15/168.10  (define @t279 () (lambda @t16 (_ (_ @t189 (_ @t270 @t278)) @t10)))
% 167.15/168.10  (define @t280 () (lambda @t9 @t182))
% 167.15/168.10  (define @t281 () (_ @t280 @t2))
% 167.15/168.10  (define @t282 () (=> @t281 @t39))
% 167.15/168.10  (define @t283 () (lambda @t194 @t282))
% 167.15/168.10  (define @t284 () (or @t179 @t178))
% 167.15/168.10  (define @t285 () (or @t148 @t284))
% 167.15/168.10  (define @t286 () (forall @t181 @t285))
% 167.15/168.10  (define @t287 () (@list @t95))
% 167.15/168.10  (define @t288 () (forall @t287 @t285))
% 167.15/168.10  (define @t289 () (forall @t287 @t284))
% 167.15/168.10  (define @t290 () (or @t148 @t289))
% 167.15/168.10  (define @t291 () (not (forall @t98 (or @t134 (tptp.f @t80 @t6 @t94)))))
% 167.15/168.10  (define @t292 () (and (or @t137 (tptp.f @t80 @t6 @t106)) @t136))
% 167.15/168.10  (define @t293 () (and (or @t140 @t139 @t292) (or @t135 @t291 @t133 @t130 @t129)))
% 167.15/168.10  (define @t294 () (forall @t8 (or @t204 (not (forall @t117 (or @t177 (not (forall @t115 (or @t176 @t142 @t293)))))))))
% 167.15/168.10  (define @t295 () (not (tptp.eiw_di @t79 @t2)))
% 167.15/168.10  (define @t296 () (not (tptp.mrel @t1 @t84)))
% 167.15/168.10  (define @t297 () (not (tptp.mrel @t1 @t103)))
% 167.15/168.10  (define @t298 () (not (tptp.eiw_di @t80 @t1)))
% 167.15/168.10  (define @t299 () (@list @t1 @t80 @t103 @t106 @t102 @t84 @t78))
% 167.15/168.10  (define @t300 () (forall @t299 (or @t148 @t298 (and (or @t297 @t139 @t292) (or @t296 @t291 @t133 @t130 @t129)))))
% 167.15/168.10  (define @t301 () (not @t300))
% 167.15/168.10  (define @t302 () (or @t295 @t301))
% 167.15/168.10  (define @t303 () (forall @t117 @t302))
% 167.15/168.10  (define @t304 () (not @t303))
% 167.15/168.10  (define @t305 () (or @t207 @t304))
% 167.15/168.10  (define @t306 () (forall @t8 @t305))
% 167.15/168.10  (define @t307 () (lambda @t9 @t306))
% 167.15/168.10  (define @t308 () (or @t148 (_ @t307 @t1)))
% 167.15/168.10  (define @t309 () (forall @t46 @t308))
% 167.15/168.10  (define @t310 () (lambda @t9 @t309))
% 167.15/168.10  (define @t311 () (not (forall @t98 (or @t134 (tptp.f @t80 @t23 @t94)))))
% 167.15/168.10  (define @t312 () (and (or @t137 (tptp.f @t80 @t23 @t106)) @t136))
% 167.15/168.10  (define @t313 () (and (or @t297 (not (forall @t110 (or @t138 (tptp.f @t80 @t6 @t108)))) @t312) (or @t296 @t311 @t133 @t130 (tptp.f @t80 @t6 @t78))))
% 167.15/168.10  (define @t314 () (forall @t8 (or (not (tptp.eiw_di @t6 @t10)) (not (forall @t299 (or @t225 @t298 @t313))))))
% 167.15/168.10  (define @t315 () (not @t314))
% 167.15/168.10  (define @t316 () (lambda @t30 @t315))
% 167.15/168.10  (define @t317 () (or @t207 (_ @t316 @t6 @t2)))
% 167.15/168.10  (define @t318 () (forall @t8 @t317))
% 167.15/168.10  (define @t319 () (lambda @t9 @t318))
% 167.15/168.10  (define @t320 () (forall @t299 (or @t148 @t298 @t313)))
% 167.15/168.10  (define @t321 () (and (or @t297 (not (forall @t110 (or @t138 (tptp.f @t80 @t18 @t108)))) @t312) (or @t296 @t311 @t133 @t130 (tptp.f @t80 @t18 @t78))))
% 167.15/168.10  (define @t322 () (forall @t299 (or @t225 @t298 @t321)))
% 167.15/168.10  (define @t323 () (lambda @t28 @t322))
% 167.15/168.10  (define @t324 () (_ @t323 @t6 @t2))
% 167.15/168.10  (define @t325 () (not @t324))
% 167.15/168.10  (define @t326 () (or @t207 @t325))
% 167.15/168.10  (define @t327 () (forall @t8 @t326))
% 167.15/168.10  (define @t328 () (not @t327))
% 167.15/168.10  (define @t329 () (lambda @t9 @t328))
% 167.15/168.10  (define @t330 () (or @t148 @t298 @t321))
% 167.15/168.10  (define @t331 () (or @t298 @t321))
% 167.15/168.10  (define @t332 () (or @t148 @t331))
% 167.15/168.10  (define @t333 () (forall @t299 @t332))
% 167.15/168.10  (define @t334 () (@list @t80 @t103 @t106 @t102 @t84 @t78))
% 167.15/168.10  (define @t335 () (forall @t334 @t332))
% 167.15/168.10  (define @t336 () (forall @t334 @t331))
% 167.15/168.10  (define @t337 () (@var "BOUND_VARIABLE_8008" tptp.mworld))
% 167.15/168.10  (define @t338 () (@var "BOUND_VARIABLE_8006" tptp.mworld))
% 167.15/168.10  (define @t339 () (@var "BOUND_VARIABLE_7983" tptp.mworld))
% 167.15/168.10  (define @t340 () (@var "BOUND_VARIABLE_7981" tptp.mworld))
% 167.15/168.10  (define @t341 () (@var "BOUND_VARIABLE_7979" tptp.mworld))
% 167.15/168.10  (define @t342 () (or @t148 @t336))
% 167.15/168.10  (define @t343 () (tptp.f @t6 @t18 @t337))
% 167.15/168.10  (define @t344 () (not (tptp.mrel @t338 @t337)))
% 167.15/168.10  (define @t345 () (tptp.f @t6 @t6 @t87))
% 167.15/168.10  (define @t346 () (not (forall @t91 (or @t132 @t345))))
% 167.15/168.10  (define @t347 () (not (forall @t92 (or (not (tptp.mrel @t338 @t89)) @t346))))
% 167.15/168.10  (define @t348 () (tptp.f @t6 @t23 @t94))
% 167.15/168.10  (define @t349 () (not (forall @t98 (or (not (tptp.mrel @t338 @t94)) @t348))))
% 167.15/168.10  (define @t350 () (and (or (not (tptp.mrel @t341 @t340)) (tptp.f @t6 @t23 @t340)) (or (not (tptp.mrel @t341 @t339)) (not (forall @t91 (or (not (tptp.mrel @t339 @t87)) @t345))))))
% 167.15/168.10  (define @t351 () (tptp.f @t6 @t18 @t108))
% 167.15/168.10  (define @t352 () (not (forall @t110 (or (not (tptp.mrel @t341 @t108)) @t351))))
% 167.15/168.10  (define @t353 () (@list @t6 @t341 @t340 @t339 @t338 @t337))
% 167.15/168.10  (define @t354 () (forall @t353 (or @t204 (and (or (not (tptp.mrel @t1 @t341)) @t352 @t350) (or (not (tptp.mrel @t1 @t338)) @t349 @t347 @t344 @t343)))))
% 167.15/168.10  (define @t355 () (or (not (tptp.mrel @t2 @t338)) @t349 @t347 @t344 @t343))
% 167.15/168.10  (define @t356 () (or (not (tptp.mrel @t2 @t341)) @t352 @t350))
% 167.15/168.10  (define @t357 () (and @t356 @t355))
% 167.15/168.10  (define @t358 () (or @t207 @t357))
% 167.15/168.10  (define @t359 () (forall @t353 @t358))
% 167.15/168.10  (define @t360 () (lambda @t9 @t359))
% 167.15/168.10  (define @t361 () (_ @t360 @t1))
% 167.15/168.10  (define @t362 () (or @t148 @t361))
% 167.15/168.10  (define @t363 () (forall @t46 @t362))
% 167.15/168.10  (define @t364 () (lambda @t9 @t363))
% 167.15/168.10  (define @t365 () (@list @t341 @t340 @t339 @t338 @t337))
% 167.15/168.10  (define @t366 () (forall @t365 @t358))
% 167.15/168.10  (define @t367 () (forall (@list @t338 @t337) @t355))
% 167.15/168.10  (define @t368 () (@var "BOUND_VARIABLE_7943" tptp.mworld))
% 167.15/168.10  (define @t369 () (forall @t365 @t355))
% 167.15/168.10  (define @t370 () (forall (@list @t341 @t340 @t339) @t356))
% 167.15/168.10  (define @t371 () (@var "BOUND_VARIABLE_7851" tptp.mworld))
% 167.15/168.10  (define @t372 () (@var "BOUND_VARIABLE_7845" tptp.mworld))
% 167.15/168.10  (define @t373 () (forall @t365 @t356))
% 167.15/168.10  (define @t374 () (and @t373 @t369))
% 167.15/168.10  (define @t375 () (forall @t365 @t357))
% 167.15/168.10  (define @t376 () (or @t207 @t375))
% 167.15/168.10  (define @t377 () (tptp.f @t6 @t18 @t368))
% 167.15/168.10  (define @t378 () (not (tptp.mrel @t1 @t368)))
% 167.15/168.10  (define @t379 () (forall @t92 (or (not (tptp.mrel @t1 @t89)) @t346)))
% 167.15/168.10  (define @t380 () (not @t379))
% 167.15/168.10  (define @t381 () (forall @t98 (or (not (tptp.mrel @t1 @t94)) @t348)))
% 167.15/168.10  (define @t382 () (not @t381))
% 167.15/168.10  (define @t383 () (or @t148 @t382 @t380 @t378 @t377))
% 167.15/168.10  (define @t384 () (@list @t1 @t368))
% 167.15/168.10  (define @t385 () (forall @t384 @t383))
% 167.15/168.10  (define @t386 () (or (not (tptp.mrel @t1 @t371)) (not (forall @t91 (or (not (tptp.mrel @t371 @t87)) @t345)))))
% 167.15/168.10  (define @t387 () (or (not (tptp.mrel @t1 @t372)) (tptp.f @t6 @t23 @t372)))
% 167.15/168.10  (define @t388 () (and @t387 @t386))
% 167.15/168.10  (define @t389 () (forall @t110 (or (not (tptp.mrel @t1 @t108)) @t351)))
% 167.15/168.10  (define @t390 () (not @t389))
% 167.15/168.10  (define @t391 () (or @t148 @t390 @t388))
% 167.15/168.10  (define @t392 () (@list @t1 @t372 @t371))
% 167.15/168.10  (define @t393 () (forall @t392 @t391))
% 167.15/168.10  (define @t394 () (and @t393 @t385))
% 167.15/168.10  (define @t395 () (and (forall @t392 (or @t225 @t390 @t388)) (forall @t384 (or @t225 @t382 @t380 @t378 @t377))))
% 167.15/168.10  (define @t396 () (lambda @t26 @t395))
% 167.15/168.10  (define @t397 () (_ @t396 @t6 @t2))
% 167.15/168.10  (define @t398 () (or @t207 @t397))
% 167.15/168.10  (define @t399 () (forall @t8 @t398))
% 167.15/168.10  (define @t400 () (lambda @t9 @t399))
% 167.15/168.10  (define @t401 () (lambda @t9 @t385))
% 167.15/168.10  (define @t402 () (_ @t401 @t2))
% 167.15/168.10  (define @t403 () (and @t393 @t402))
% 167.15/168.10  (define @t404 () (lambda @t9 @t403))
% 167.15/168.10  (define @t405 () (or @t378 @t377))
% 167.15/168.10  (define @t406 () (or @t148 @t382 @t380 @t405))
% 167.15/168.10  (define @t407 () (forall @t384 @t406))
% 167.15/168.10  (define @t408 () (@list @t368))
% 167.15/168.10  (define @t409 () (forall @t408 @t406))
% 167.15/168.10  (define @t410 () (forall @t408 @t405))
% 167.15/168.10  (define @t411 () (@var "BOUND_VARIABLE_7888" tptp.mworld))
% 167.15/168.10  (define @t412 () (@list @t411))
% 167.15/168.10  (define @t413 () (or @t148 @t382 @t380 @t410))
% 167.15/168.10  (define @t414 () (tptp.f @t6 @t18 @t411))
% 167.15/168.10  (define @t415 () (@list @t411))
% 167.15/168.10  (define @t416 () (forall @t415 (or (not (tptp.mrel @t1 @t411)) @t414)))
% 167.15/168.10  (define @t417 () (or @t148 @t382 @t380 @t416))
% 167.15/168.10  (define @t418 () (or @t382 @t380 @t416))
% 167.15/168.10  (define @t419 () (and @t381 @t379))
% 167.15/168.10  (define @t420 () (=> @t419 @t416))
% 167.15/168.10  (define @t421 () (or @t148 @t420))
% 167.15/168.10  (define @t422 () (tptp.f @t6 @t18 @t1))
% 167.15/168.10  (define @t423 () (forall @t46 (or @t148 @t422)))
% 167.15/168.10  (define @t424 () (not (forall @t91 (or (not (tptp.mrel @t1 @t87)) @t345))))
% 167.15/168.10  (define @t425 () (forall @t46 (or @t148 @t424)))
% 167.15/168.10  (define @t426 () (tptp.f @t6 @t23 @t1))
% 167.15/168.10  (define @t427 () (forall @t46 (or @t148 @t426)))
% 167.15/168.10  (define @t428 () (and @t427 @t425))
% 167.15/168.10  (define @t429 () (=> @t428 @t423))
% 167.15/168.10  (define @t430 () (lambda @t9 @t429))
% 167.15/168.10  (define @t431 () (or @t148 (_ @t430 @t1)))
% 167.15/168.10  (define @t432 () (forall @t46 @t431))
% 167.15/168.10  (define @t433 () (lambda @t9 @t432))
% 167.15/168.10  (define @t434 () (lambda @t9 @t423))
% 167.15/168.10  (define @t435 () (_ @t434 @t2))
% 167.15/168.10  (define @t436 () (=> @t428 @t435))
% 167.15/168.10  (define @t437 () (lambda @t9 @t436))
% 167.15/168.10  (define @t438 () (_ @t20 @t1))
% 167.15/168.10  (define @t439 () (or @t148 @t438))
% 167.15/168.10  (define @t440 () (_ @t20 @t1))
% 167.15/168.10  (define @t441 () (or @t148 @t440))
% 167.15/168.10  (define @t442 () (forall @t46 @t441))
% 167.15/168.10  (define @t443 () (lambda @t9 @t442))
% 167.15/168.10  (define @t444 () (_ @t189 @t20))
% 167.15/168.10  (define @t445 () (lambda @t9 @t428))
% 167.15/168.10  (define @t446 () (_ @t445 @t2))
% 167.15/168.10  (define @t447 () (=> @t446 @t39))
% 167.15/168.10  (define @t448 () (lambda @t194 @t447))
% 167.15/168.10  (define @t449 () (lambda @t9 @t425))
% 167.15/168.10  (define @t450 () (_ @t449 @t2))
% 167.15/168.10  (define @t451 () (and @t427 @t450))
% 167.15/168.10  (define @t452 () (lambda @t9 @t451))
% 167.15/168.10  (define @t453 () (tptp.f @t6 @t6 @t1))
% 167.15/168.10  (define @t454 () (forall @t46 (or @t148 @t453)))
% 167.15/168.10  (define @t455 () (@list @t87))
% 167.15/168.10  (define @t456 () (not @t454))
% 167.15/168.10  (define @t457 () (lambda @t9 @t456))
% 167.15/168.10  (define @t458 () (or @t148 (_ @t457 @t1)))
% 167.15/168.10  (define @t459 () (forall @t46 @t458))
% 167.15/168.10  (define @t460 () (lambda @t9 @t459))
% 167.15/168.10  (define @t461 () (lambda @t9 @t454))
% 167.15/168.10  (define @t462 () (_ @t461 @t2))
% 167.15/168.10  (define @t463 () (not @t462))
% 167.15/168.10  (define @t464 () (lambda @t9 @t463))
% 167.15/168.10  (define @t465 () (_ @t22 @t1))
% 167.15/168.10  (define @t466 () (or @t148 @t465))
% 167.15/168.10  (define @t467 () (_ @t22 @t1))
% 167.15/168.10  (define @t468 () (or @t148 @t467))
% 167.15/168.10  (define @t469 () (forall @t46 @t468))
% 167.15/168.10  (define @t470 () (lambda @t9 @t469))
% 167.15/168.10  (define @t471 () (_ @t189 @t22))
% 167.15/168.10  (define @t472 () (lambda @t9 @t427))
% 167.15/168.10  (define @t473 () (_ @t472 @t2))
% 167.15/168.10  (define @t474 () (and @t473 @t39))
% 167.15/168.10  (define @t475 () (lambda @t194 @t474))
% 167.15/168.10  (define @t476 () (_ @t24 @t1))
% 167.15/168.10  (define @t477 () (or @t148 @t476))
% 167.15/168.10  (define @t478 () (_ @t24 @t1))
% 167.15/168.10  (define @t479 () (or @t148 @t478))
% 167.15/168.10  (define @t480 () (forall @t46 @t479))
% 167.15/168.10  (define @t481 () (lambda @t9 @t480))
% 167.15/168.10  (define @t482 () (_ @t189 @t24))
% 167.15/168.10  (define @t483 () (lambda @t9 @t393))
% 167.15/168.10  (define @t484 () (_ @t483 @t2))
% 167.15/168.10  (define @t485 () (and @t484 @t39))
% 167.15/168.10  (define @t486 () (lambda @t194 @t485))
% 167.15/168.10  (define @t487 () (@list @t372 @t371))
% 167.15/168.10  (define @t488 () (forall @t487 @t391))
% 167.15/168.10  (define @t489 () (forall (@list @t371) @t386))
% 167.15/168.10  (define @t490 () (@var "BOUND_VARIABLE_7793" tptp.mworld))
% 167.15/168.10  (define @t491 () (@list @t490))
% 167.15/168.10  (define @t492 () (forall @t487 @t386))
% 167.15/168.10  (define @t493 () (forall (@list @t372) @t387))
% 167.15/168.10  (define @t494 () (@var "BOUND_VARIABLE_7805" tptp.mworld))
% 167.15/168.10  (define @t495 () (@list @t494))
% 167.15/168.10  (define @t496 () (forall @t487 @t387))
% 167.15/168.10  (define @t497 () (and @t496 @t492))
% 167.15/168.10  (define @t498 () (forall @t487 @t388))
% 167.15/168.10  (define @t499 () (or @t148 @t390 @t498))
% 167.15/168.10  (define @t500 () (not (forall @t91 (or (not (tptp.mrel @t490 @t87)) @t345))))
% 167.15/168.10  (define @t501 () (@list @t490))
% 167.15/168.10  (define @t502 () (tptp.f @t6 @t23 @t494))
% 167.15/168.10  (define @t503 () (@list @t494))
% 167.15/168.10  (define @t504 () (and (forall @t503 (or (not (tptp.mrel @t1 @t494)) @t502)) (forall @t501 (or (not (tptp.mrel @t1 @t490)) @t500))))
% 167.15/168.10  (define @t505 () (or @t148 @t390 @t504))
% 167.15/168.10  (define @t506 () (=> @t389 @t504))
% 167.15/168.10  (define @t507 () (or @t148 @t506))
% 167.15/168.10  (define @t508 () (@list @t108))
% 167.15/168.10  (define @t509 () (=> @t423 @t428))
% 167.15/168.10  (define @t510 () (lambda @t9 @t509))
% 167.15/168.10  (define @t511 () (or @t148 (_ @t510 @t1)))
% 167.15/168.10  (define @t512 () (forall @t46 @t511))
% 167.15/168.10  (define @t513 () (lambda @t9 @t512))
% 167.15/168.10  (define @t514 () (=> @t423 @t446))
% 167.15/168.10  (define @t515 () (lambda @t9 @t514))
% 167.15/168.10  (define @t516 () (=> @t435 @t39))
% 167.15/168.10  (define @t517 () (lambda @t194 @t516))
% 167.15/168.10  (define @t518 () (_ (_ @t41 @t482) (_ @t189 (_ @t37 @t471))))
% 167.15/168.10  (define @t519 () (lambda @t26 (_ (_ (_ @t41 (_ @t189 (_ (_ @t43 @t444) @t518))) (_ @t189 (_ (_ @t43 @t518) @t444))) @t10)))
% 167.15/168.10  (define @t520 () (lambda @t28 (_ (_ @t189 (_ @t270 @t519)) @t10)))
% 167.15/168.10  (define @t521 () (lambda @t30 (_ (_ @t235 @t520) @t10)))
% 167.15/168.10  (define @t522 () (not @t3))
% 167.15/168.10  (define @t523 () (or @t522 @t45))
% 167.15/168.10  (define @t524 () (not @t7))
% 167.15/168.10  (define @t525 () (or @t524 @t52))
% 167.15/168.10  (define @t526 () (not @t52))
% 167.15/168.10  (define @t527 () (or @t524 @t526))
% 167.15/168.10  (define @t528 () (forall @t8 (not @t56)))
% 167.15/168.10  (define @t529 () (not @t528))
% 167.15/168.10  (define @t530 () (@quantifiers_skolemize @t123 0))
% 167.15/168.10  (define @t531 () (_ @t60 @t59 @t530))
% 167.15/168.10  (define @t532 () (forall @t120 (or (not (_ @t61 @t531 @t114)) @t119 @t118)))
% 167.15/168.10  (define @t533 () (@quantifiers_skolemize @t123 2))
% 167.15/168.10  (define @t534 () (@quantifiers_skolemize @t123 1))
% 167.15/168.10  (define @t535 () (_ @t60 @t59 @t534))
% 167.15/168.10  (define @t536 () (forall @t76 (or (not (_ @t61 @t535 @t71)) @t74 @t72 (_ @t61 (_ @t70 @t69 @t533) @t64))))
% 167.15/168.10  (define @t537 () (not @t536))
% 167.15/168.10  (define @t538 () (_ @t61 (_ @t70 @t73 @t533) @t534))
% 167.15/168.10  (define @t539 () (not @t538))
% 167.15/168.10  (define @t540 () (_ @t61 @t531 @t534))
% 167.15/168.10  (define @t541 () (not @t540))
% 167.15/168.10  (define @t542 () (not @t532))
% 167.15/168.10  (define @t543 () (not (_ @t61 @t121 @t530)))
% 167.15/168.10  (define @t544 () (or @t543 @t542 @t541 @t539 @t537))
% 167.15/168.10  (define @t545 () (@list true))
% 167.15/168.10  (define @t546 () (@list @t544))
% 167.15/168.10  (define @t547 () (_ @t70 @t81 @t533))
% 167.15/168.10  (define @t548 () (not (forall @t98 (or @t97 (_ @t61 @t547 @t94)))))
% 167.15/168.10  (define @t549 () (and (or @t107 (_ @t61 @t547 @t106)) @t105))
% 167.15/168.10  (define @t550 () (not (_ @t61 @t535 @t99)))
% 167.15/168.10  (define @t551 () (forall @t117 (or (not (_ @t61 @t116 @t534)) (not (forall @t115 (or @t550 @t113 (and (or @t112 @t111 @t549) (or @t101 @t548 @t93 @t86 @t83))))))))
% 167.15/168.10  (define @t552 () (not @t551))
% 167.15/168.10  (define @t553 () (or @t541 @t539 @t552))
% 167.15/168.10  (define @t554 () (@list false false false))
% 167.15/168.10  (define @t555 () (@quantifiers_skolemize @t551 0))
% 167.15/168.10  (define @t556 () (_ @t70 @t81 @t555))
% 167.15/168.10  (define @t557 () (forall @t115 (or @t550 @t113 (and (or @t112 (not (forall @t110 (or @t109 (_ @t61 @t556 @t108)))) @t549) (or @t101 @t548 @t93 @t86 (_ @t61 @t556 @t78))))))
% 167.15/168.10  (define @t558 () (not @t557))
% 167.15/168.10  (define @t559 () (_ @t61 (_ @t70 @t73 @t555) @t534))
% 167.15/168.10  (define @t560 () (not @t559))
% 167.15/168.10  (define @t561 () (or @t560 @t558))
% 167.15/168.10  (define @t562 () (@list @t561))
% 167.15/168.10  (define @t563 () (_ @t68 @t67 @t555))
% 167.15/168.10  (define @t564 () (_ @t70 @t563 @t555))
% 167.15/168.10  (define @t565 () (_ @t61 @t564 @t108))
% 167.15/168.10  (define @t566 () (forall @t110 (or (not (_ @t61 @t121 @t108)) @t565)))
% 167.15/168.10  (define @t567 () (@quantifiers_skolemize @t566 0))
% 167.15/168.10  (define @t568 () (_ @t70 @t563 @t533))
% 167.15/168.10  (define @t569 () (_ @t61 @t568 @t94))
% 167.15/168.10  (define @t570 () (forall @t98 (or (not (_ @t61 @t121 @t94)) @t569)))
% 167.15/168.10  (define @t571 () (@quantifiers_skolemize @t570 0))
% 167.15/168.10  (define @t572 () (_ @t61 @t564 @t567))
% 167.15/168.10  (define @t573 () (_ @t61 @t535 @t567))
% 167.15/168.10  (define @t574 () (not @t573))
% 167.15/168.10  (define @t575 () (_ @t61 @t564 @t87))
% 167.15/168.10  (define @t576 () (not (forall @t91 (or @t90 @t575))))
% 167.15/168.10  (define @t577 () (forall @t92 (or (not (_ @t61 @t535 @t89)) @t576)))
% 167.15/168.10  (define @t578 () (not @t577))
% 167.15/168.10  (define @t579 () (forall @t98 (or (not (_ @t61 @t535 @t94)) @t569)))
% 167.15/168.10  (define @t580 () (not @t579))
% 167.15/168.10  (define @t581 () (_ @t61 @t535 @t534))
% 167.15/168.10  (define @t582 () (not @t581))
% 167.15/168.10  (define @t583 () (or @t582 @t580 @t578 @t574 @t572))
% 167.15/168.10  (define @t584 () (forall @t91 (or (not (_ @t61 @t121 @t87)) @t575)))
% 167.15/168.10  (define @t585 () (not @t584))
% 167.15/168.10  (define @t586 () (_ @t61 @t535 tptp.mactual))
% 167.15/168.10  (define @t587 () (not @t586))
% 167.15/168.10  (define @t588 () (or @t587 @t585))
% 167.15/168.10  (define @t589 () (forall @t110 (or (not (_ @t61 @t535 @t108)) @t565)))
% 167.15/168.10  (define @t590 () (not @t589))
% 167.15/168.10  (define @t591 () (and (or @t582 @t590 (and (or (not (_ @t61 @t535 @t571)) (_ @t61 @t568 @t571)) @t588)) @t583))
% 167.15/168.10  (define @t592 () (or @t582 @t560 @t591))
% 167.15/168.10  (define @t593 () (@list false))
% 167.15/168.10  (define @t594 () (forall @t91 (or (not (_ @t61 @t535 @t87)) @t575)))
% 167.15/168.10  (define @t595 () (@quantifiers_skolemize @t594 0))
% 167.15/168.10  (define @t596 () (@list @t567))
% 167.15/168.10  (define @t597 () (or @t574 @t572))
% 167.15/168.10  (define @t598 () (and (or @t587 (_ @t61 @t568 tptp.mactual)) @t588))
% 167.15/168.10  (define @t599 () (or @t582 @t590 @t598))
% 167.15/168.10  (define @t600 () (and @t599 (or @t587 (not @t570) (not (forall @t92 (or (not (_ @t61 @t121 @t89)) @t576))) @t543 (_ @t61 @t564 @t530))))
% 167.15/168.10  (define @t601 () (or @t582 @t560 @t600))
% 167.15/168.10  (define @t602 () (or (not (_ @t61 @t121 @t567)) @t572))
% 167.15/168.10  (define @t603 () (not @t602))
% 167.15/168.10  (define @t604 () (not @t566))
% 167.15/168.10  (define @t605 () (not @t594))
% 167.15/168.10  (define @t606 () (_ @t61 @t564 @t595))
% 167.15/168.10  (define @t607 () (or (not (_ @t61 @t535 @t595)) @t606))
% 167.15/168.10  (define @t608 () (not @t607))
% 167.15/168.10  (define @t609 () (_ @t61 @t121 @t595))
% 167.15/168.10  (define @t610 () (not @t609))
% 167.15/168.10  (define @t611 () (or @t610 @t606))
% 167.15/168.10  (define @t612 () (not @t611))
% 167.15/168.10  (define @t613 () (@list true false))
% 167.15/168.10  (define @t614 () (@quantifiers_skolemize @t579 0))
% 167.15/168.10  (define @t615 () (_ @t61 @t535 @t614))
% 167.15/168.10  (define @t616 () (_ @t61 @t568 @t614))
% 167.15/168.10  (define @t617 () (not @t615))
% 167.15/168.10  (define @t618 () (or @t617 @t616))
% 167.15/168.10  (define @t619 () (or @t582 @t560 @t617 @t616))
% 167.15/168.10  (define @t620 () (not @t618))
% 167.15/168.10  (define @t621 () (@quantifiers_skolemize @t577 0))
% 167.15/168.10  (define @t622 () (_ @t60 @t59 @t621))
% 167.15/168.10  (define @t623 () (forall @t91 (or (not (_ @t61 @t622 @t87)) @t575)))
% 167.15/168.10  (define @t624 () (not @t623))
% 167.15/168.10  (define @t625 () (or (not (_ @t61 @t535 @t621)) @t624))
% 167.15/168.10  (define @t626 () (not @t625))
% 167.15/168.10  (define @t627 () (_ @t61 @t622 @t567))
% 167.15/168.10  (define @t628 () (not @t627))
% 167.15/168.10  (define @t629 () (or @t628 @t572))
% 167.15/168.10  (assume @p1 @t5)
% 167.15/168.10  (assume @p2 (forall @t9 (exists @t8 @t7)))
% 167.15/168.10  (assume @p3 @t32)
% 167.15/168.10  (assume @p4 true)
% 167.15/168.10  (step @p5 (= tptp.mlocal @t34) :rule refl :args (@t34))
% 167.15/168.10  (step @p6 (= tptp.mnot @t37) :rule refl :args (@t37))
% 167.15/168.10  (step @p7 (= tptp.mand @t41) :rule refl :args (@t41))
% 167.15/168.10  (step @p8 (= tptp.mor @t42) :rule refl :args (@t42))
% 167.15/168.10  (step @p9 (= tptp.mimplies @t43) :rule refl :args (@t43))
% 167.15/168.10  (step @p10 (= tptp.mequiv @t44) :rule refl :args (@t44))
% 167.15/168.10  (step @p11 (= tptp.mbox @t49) :rule refl :args (@t49))
% 167.15/168.10  (step @p12 (= tptp.mdia @t50) :rule refl :args (@t50))
% 167.15/168.10  (step @p13 (= tptp.mforall_di @t55) :rule refl :args (@t55))
% 167.15/168.10  (step @p14 (= tptp.mexists_di @t58) :rule refl :args (@t58))
% 167.15/168.10  ; WARNING: add trust step for TRUST
% 167.15/168.10  ; trust TRUST PREPROCESS_HO_ELIM
% 167.15/168.10  (step @p15 :rule trust :premises () :args ((= (forall @t4 @t63) @t62)))
% 167.15/168.10  (step @p16 :rule refl :args (@t63))
% 167.15/168.10  (step @p17 :rule refl :args (@t3))
% 167.15/168.10  (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t3 @t63)))
% 167.15/168.10  (step @p19 :rule symm :premises (@p18))
% 167.15/168.10  (step @p20 :rule eq_resolve :premises (@p17 @p19))
% 167.15/168.10  (step @p21 :rule cong :premises (@p20) :args (@t5))
% 167.15/168.10  (step @p22 :rule trans :premises (@p21 @p15))
% 167.15/168.10  (step @p23 :rule eq_resolve :premises (@p1 @p22))
% 167.15/168.10  ; trust TRUST PREPROCESS_HO_ELIM
% 167.15/168.10  (step @p24 :rule trust :premises () :args ((= (not @t147) (not @t123))))
% 167.15/168.10  (step @p25 :rule beta-reduce :args ((= @t151 @t147)))
% 167.15/168.10  (step @p26 :rule beta-reduce :args ((= (_ @t34 @t150) @t151)))
% 167.15/168.10  (step @p27 :rule trans :premises (@p26 @p25))
% 167.15/168.10  (step @p28 :rule aci_norm :args ((= @t153 @t149)))
% 167.15/168.10  (step @p29 :rule cong :premises (@p28) :args (@t154))
% 167.15/168.10  (step @p30 :rule quant-merge-prenex :args ((= (forall @t46 @t156) @t154)))
% 167.15/168.10  (step @p31 :rule alpha_equiv :args (@t157 (@list @t75 @t65) (@list @t159 @t158)))
% 167.15/168.10  (step @p32 :rule refl :args (@t146))
% 167.15/168.10  (step @p33 :rule refl :args (@t148))
% 167.15/168.10  (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args (@t160))
% 167.15/168.10  (step @p35 :rule quant-miniscope-or :args ((= @t156 @t160)))
% 167.15/168.10  (step @p36 :rule trans :premises (@p35 @p34))
% 167.15/168.10  (step @p37 :rule symm :premises (@p36))
% 167.15/168.10  (step @p38 :rule cong :premises (@p37) :args ((forall @t46 @t166)))
% 167.15/168.10  (step @p39 :rule trans :premises (@p38 @p30))
% 167.15/168.10  (step @p40 :rule trans :premises (@p39 @p29))
% 167.15/168.10  (step @p41 :rule aci_norm :args ((= (or @t148 (or @t146 @t165)) @t166)))
% 167.15/168.10  (step @p42 :rule bool-impl-elim :args (@t145 @t165))
% 167.15/168.10  (step @p43 :rule nary_cong :premises (@p33 @p42) :args (@t168))
% 167.15/168.10  (step @p44 :rule trans :premises (@p43 @p41))
% 167.15/168.10  (step @p45 :rule cong :premises (@p44) :args ((forall @t46 @t168)))
% 167.15/168.10  (step @p46 :rule trans :premises (@p45 @p40))
% 167.15/168.10  (step @p47 :rule beta-reduce :args ((= (_ (lambda @t9 (=> (forall @t120 (or (not (tptp.mrel @t2 @t114)) @t144 @t143)) (forall @t164 (or (not (tptp.mrel @t2 @t159)) @t163 @t162)))) @t1) @t167)))
% 167.15/168.10  (step @p48 :rule refl :args (@t1))
% 167.15/168.10  (step @p49 :rule alpha_equiv :args (@t174 @t175 (@list @t159)))
% 167.15/168.10  (step @p50 :rule alpha_equiv :args (@t182 @t175 (@list @t114)))
% 167.15/168.10  (step @p51 :rule cong :premises (@p50 @p49) :args (@t183))
% 167.15/168.10  (step @p52 :rule cong :premises (@p51) :args (@t184))
% 167.15/168.10  (step @p53 :rule ho_cong :premises (@p52 @p48))
% 167.15/168.10  (step @p54 :rule trans :premises (@p53 @p47))
% 167.15/168.10  (step @p55 :rule refl :args (@t148))
% 167.15/168.10  (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t185))
% 167.15/168.10  (step @p57 :rule cong :premises (@p56) :args (@t186))
% 167.15/168.10  (step @p58 :rule trans :premises (@p57 @p46))
% 167.15/168.10  (step @p59 :rule cong :premises (@p58) :args (@t187))
% 167.15/168.10  (step @p60 :rule beta-reduce :args ((= (_ @t189 @t184) @t187)))
% 167.15/168.10  (step @p61 :rule trans :premises (@p60 @p59))
% 167.15/168.10  (step @p62 :rule beta-reduce :args ((= @t191 @t174)))
% 167.15/168.10  (step @p63 :rule refl :args (@t182))
% 167.15/168.10  (step @p64 :rule cong :premises (@p63 @p62) :args (@t192))
% 167.15/168.10  (step @p65 :rule cong :premises (@p64) :args (@t193))
% 167.15/168.10  (step @p66 :rule beta-reduce :args ((= (_ (lambda @t194 (=> @t182 @t39)) @t190) @t193)))
% 167.15/168.10  (step @p67 :rule trans :premises (@p66 @p65))
% 167.15/168.10  (step @p68 :rule aci_norm :args ((= @t196 @t172)))
% 167.15/168.10  (step @p69 :rule cong :premises (@p68) :args (@t197))
% 167.15/168.10  (step @p70 :rule quant-merge-prenex :args ((= (forall @t46 @t199) @t197)))
% 167.15/168.10  (step @p71 :rule alpha_equiv :args (@t200 (@list @t158) @t201))
% 167.15/168.10  (step @p72 :rule nary_cong :premises (@p33 @p71) :args (@t202))
% 167.15/168.10  (step @p73 :rule quant-miniscope-or :args ((= @t199 @t202)))
% 167.15/168.10  (step @p74 :rule trans :premises (@p73 @p72))
% 167.15/168.10  (step @p75 :rule symm :premises (@p74))
% 167.15/168.10  (step @p76 :rule cong :premises (@p75) :args ((forall @t46 (or @t148 @t205))))
% 167.15/168.10  (step @p77 :rule trans :premises (@p76 @p70))
% 167.15/168.10  (step @p78 :rule trans :premises (@p77 @p69))
% 167.15/168.10  (step @p79 :rule beta-reduce :args ((= (_ (lambda @t9 (forall @t8 (or @t207 (not (forall @t76 (or (not (tptp.mrel @t2 @t71)) @t125 @t124 @t203)))))) @t1) @t205)))
% 167.15/168.10  (step @p80 :rule alpha_equiv :args (@t211 @t175 (@list @t71)))
% 167.15/168.10  (step @p81 :rule cong :premises (@p80) :args (@t212))
% 167.15/168.10  (step @p82 :rule refl :args (@t207))
% 167.15/168.10  (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t213))
% 167.15/168.10  (step @p84 :rule cong :premises (@p83) :args (@t214))
% 167.15/168.10  (step @p85 :rule cong :premises (@p84) :args (@t215))
% 167.15/168.10  (step @p86 :rule ho_cong :premises (@p85 @p48))
% 167.15/168.10  (step @p87 :rule trans :premises (@p86 @p79))
% 167.15/168.10  (step @p88 :rule nary_cong :premises (@p55 @p87) :args (@t216))
% 167.15/168.10  (step @p89 :rule cong :premises (@p88) :args (@t217))
% 167.15/168.10  (step @p90 :rule trans :premises (@p89 @p78))
% 167.15/168.10  (step @p91 :rule cong :premises (@p90) :args (@t218))
% 167.15/168.10  (step @p92 :rule beta-reduce :args ((= (_ @t189 @t215) @t218)))
% 167.15/168.10  (step @p93 :rule trans :premises (@p92 @p91))
% 167.15/168.10  (step @p94 :rule bool-double-not-elim :args (@t214))
% 167.15/168.10  (step @p95 :rule beta-reduce :args ((= @t221 @t219)))
% 167.15/168.10  (step @p96 :rule cong :premises (@p95) :args (@t222))
% 167.15/168.10  (step @p97 :rule trans :premises (@p96 @p94))
% 167.15/168.10  (step @p98 :rule cong :premises (@p97) :args (@t223))
% 167.15/168.10  (step @p99 :rule beta-reduce :args ((= (_ @t37 @t220) @t223)))
% 167.15/168.10  (step @p100 :rule trans :premises (@p99 @p98))
% 167.15/168.10  (step @p101 :rule beta-reduce :args ((= @t228 @t211)))
% 167.15/168.10  (step @p102 :rule cong :premises (@p101) :args (@t229))
% 167.15/168.10  (step @p103 :rule refl :args (@t207))
% 167.15/168.10  (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t230))
% 167.15/168.10  (step @p105 :rule cong :premises (@p104) :args (@t231))
% 167.15/168.10  (step @p106 :rule cong :premises (@p105) :args (@t232))
% 167.15/168.10  (step @p107 :rule cong :premises (@p106) :args (@t233))
% 167.15/168.10  (step @p108 :rule beta-reduce :args ((= (_ @t235 @t227) @t233)))
% 167.15/168.10  (step @p109 :rule trans :premises (@p108 @p107))
% 167.15/168.10  (step @p110 :rule beta-reduce :args ((= (_ (lambda @t9 (forall @t210 @t236)) @t10) @t226)))
% 167.15/168.10  (step @p111 :rule refl :args (@t10))
% 167.15/168.10  (step @p112 :rule aci_norm :args ((= @t238 @t236)))
% 167.15/168.10  (step @p113 :rule cong :premises (@p112) :args (@t239))
% 167.15/168.10  (step @p114 :rule quant-merge-prenex :args ((= (forall @t46 @t241) @t239)))
% 167.15/168.10  (step @p115 :rule alpha_equiv :args (@t242 (@list @t66 @t64) (@list @t6 @t243)))
% 167.15/168.10  (step @p116 :rule nary_cong :premises (@p33 @p115) :args (@t244))
% 167.15/168.10  (step @p117 :rule quant-miniscope-or :args ((= @t241 @t244)))
% 167.15/168.10  (step @p118 :rule trans :premises (@p117 @p116))
% 167.15/168.10  (step @p119 :rule symm :premises (@p118))
% 167.15/168.10  (step @p120 :rule cong :premises (@p119) :args ((forall @t46 (or @t148 @t247))))
% 167.15/168.10  (step @p121 :rule trans :premises (@p120 @p114))
% 167.15/168.10  (step @p122 :rule trans :premises (@p121 @p113))
% 167.15/168.10  (step @p123 :rule beta-reduce :args ((= @t251 @t247)))
% 167.15/168.10  (step @p124 :rule nary_cong :premises (@p55 @p123) :args (@t252))
% 167.15/168.10  (step @p125 :rule cong :premises (@p124) :args (@t253))
% 167.15/168.10  (step @p126 :rule trans :premises (@p125 @p122))
% 167.15/168.10  (step @p127 :rule cong :premises (@p126) :args (@t254))
% 167.15/168.10  (step @p128 :rule beta-reduce :args ((= (_ @t189 @t250) @t254)))
% 167.15/168.10  (step @p129 :rule trans :premises (@p128 @p127))
% 167.15/168.10  (step @p130 :rule aci_norm :args ((= @t256 @t249)))
% 167.15/168.10  (step @p131 :rule cong :premises (@p130) :args (@t257))
% 167.15/168.10  (step @p132 :rule quant-merge-prenex :args ((= (forall @t8 @t259) @t257)))
% 167.15/168.10  (step @p133 :rule alpha_equiv :args (@t260 (@list @t243) @t175))
% 167.15/168.10  (step @p134 :rule nary_cong :premises (@p82 @p133) :args (@t261))
% 167.15/168.10  (step @p135 :rule quant-miniscope-or :args ((= @t259 @t261)))
% 167.15/168.10  (step @p136 :rule trans :premises (@p135 @p134))
% 167.15/168.10  (step @p137 :rule symm :premises (@p136))
% 167.15/168.10  (step @p138 :rule cong :premises (@p137) :args ((forall @t8 (or @t207 @t262))))
% 167.15/168.10  (step @p139 :rule trans :premises (@p138 @p132))
% 167.15/168.10  (step @p140 :rule trans :premises (@p139 @p131))
% 167.15/168.10  (step @p141 :rule beta-reduce :args ((= @t266 @t262)))
% 167.15/168.10  (step @p142 :rule nary_cong :premises (@p103 @p141) :args (@t267))
% 167.15/168.10  (step @p143 :rule cong :premises (@p142) :args (@t268))
% 167.15/168.10  (step @p144 :rule trans :premises (@p143 @p140))
% 167.15/168.10  (step @p145 :rule cong :premises (@p144) :args (@t269))
% 167.15/168.10  (step @p146 :rule beta-reduce :args ((= (_ @t270 @t265) @t269)))
% 167.15/168.10  (step @p147 :rule trans :premises (@p146 @p145))
% 167.15/168.10  (step @p148 :rule beta-reduce :args ((= (_ (lambda @t9 (forall @t46 (or @t148 @t263))) @t10) @t264)))
% 167.15/168.10  (step @p149 :rule refl :args (@t263))
% 167.15/168.10  (step @p150 :rule refl :args (@t271))
% 167.15/168.10  (step @p151 :rule cong :premises (@p150 @p149) :args ((= @t271 @t263)))
% 167.15/168.10  (step @p152 :rule symm :premises (@p151))
% 167.15/168.10  (step @p153 :rule eq_resolve :premises (@p150 @p152))
% 167.15/168.10  (step @p154 :rule nary_cong :premises (@p33 @p153) :args (@t272))
% 167.15/168.10  (step @p155 :rule cong :premises (@p154) :args ((forall @t46 @t272)))
% 167.15/168.10  (step @p156 :rule refl :args (@t273))
% 167.15/168.10  (step @p157 :rule nary_cong :premises (@p55 @p156) :args (@t274))
% 167.15/168.10  (step @p158 :rule cong :premises (@p157) :args (@t275))
% 167.15/168.10  (step @p159 :rule trans :premises (@p158 @p155))
% 167.15/168.10  (step @p160 :rule cong :premises (@p159) :args (@t276))
% 167.15/168.10  (step @p161 :rule beta-reduce :args ((= @t277 @t276)))
% 167.15/168.10  (step @p162 :rule trans :premises (@p161 @p160))
% 167.15/168.10  (step @p163 :rule ho_cong :premises (@p162 @p111))
% 167.15/168.10  (step @p164 :rule trans :premises (@p163 @p148))
% 167.15/168.10  (step @p165 :rule cong :premises (@p164) :args (@t278))
% 167.15/168.10  (step @p166 :rule refl :args (@t270))
% 167.15/168.10  (step @p167 :rule ho_cong :premises (@p166 @p165))
% 167.15/168.10  (step @p168 :rule trans :premises (@p167 @p147))
% 167.15/168.10  (step @p169 :rule refl :args (@t189))
% 167.15/168.10  (step @p170 :rule ho_cong :premises (@p169 @p168))
% 167.15/168.10  (step @p171 :rule trans :premises (@p170 @p129))
% 167.15/168.10  (step @p172 :rule ho_cong :premises (@p171 @p111))
% 167.15/168.10  (step @p173 :rule trans :premises (@p172 @p110))
% 167.15/168.10  (step @p174 :rule cong :premises (@p173) :args (@t279))
% 167.15/168.10  (step @p175 :rule refl :args (@t235))
% 167.15/168.10  (step @p176 :rule ho_cong :premises (@p175 @p174))
% 167.15/168.10  (step @p177 :rule trans :premises (@p176 @p109))
% 167.15/168.10  (step @p178 :rule refl :args (@t37))
% 167.15/168.10  (step @p179 :rule ho_cong :premises (@p178 @p177))
% 167.15/168.10  (step @p180 :rule trans :premises (@p179 @p100))
% 167.15/168.10  (step @p181 :rule ho_cong :premises (@p169 @p180))
% 167.15/168.10  (step @p182 :rule trans :premises (@p181 @p93))
% 167.15/168.10  (step @p183 :rule refl :args (@t39))
% 167.15/168.10  (step @p184 :rule beta-reduce :args ((= @t281 @t182)))
% 167.15/168.10  (step @p185 :rule cong :premises (@p184 @p183) :args (@t282))
% 167.15/168.10  (step @p186 :rule cong :premises (@p185) :args (@t283))
% 167.15/168.10  (step @p187 :rule beta-reduce :args ((= (_ @t43 @t280) @t283)))
% 167.15/168.10  (step @p188 :rule trans :premises (@p187 @p186))
% 167.15/168.10  (step @p189 :rule aci_norm :args ((= @t285 @t180)))
% 167.15/168.10  (step @p190 :rule cong :premises (@p189) :args (@t286))
% 167.15/168.10  (step @p191 :rule quant-merge-prenex :args ((= (forall @t46 @t288) @t286)))
% 167.15/168.10  (step @p192 :rule alpha_equiv :args (@t289 (@list @t95) @t201))
% 167.15/168.10  (step @p193 :rule nary_cong :premises (@p33 @p192) :args (@t290))
% 167.15/168.10  (step @p194 :rule quant-miniscope-or :args ((= @t288 @t290)))
% 167.15/168.10  (step @p195 :rule trans :premises (@p194 @p193))
% 167.15/168.10  (step @p196 :rule symm :premises (@p195))
% 167.15/168.10  (step @p197 :rule cong :premises (@p196) :args ((forall @t46 (or @t148 @t294))))
% 167.15/168.10  (step @p198 :rule trans :premises (@p197 @p191))
% 167.15/168.10  (step @p199 :rule trans :premises (@p198 @p190))
% 167.15/168.10  (step @p200 :rule beta-reduce :args ((= (_ (lambda @t9 (forall @t8 (or @t207 (not (forall @t117 (or @t295 (not (forall @t115 (or (not (tptp.mrel @t2 @t99)) @t142 @t293))))))))) @t1) @t294)))
% 167.15/168.10  (step @p201 :rule alpha_equiv :args (@t300 @t175 (@list @t99)))
% 167.15/168.10  (step @p202 :rule cong :premises (@p201) :args (@t301))
% 167.15/168.10  (step @p203 :rule refl :args (@t295))
% 167.15/168.10  (step @p204 :rule nary_cong :premises (@p203 @p202) :args (@t302))
% 167.15/168.10  (step @p205 :rule cong :premises (@p204) :args (@t303))
% 167.15/168.10  (step @p206 :rule cong :premises (@p205) :args (@t304))
% 167.15/168.10  (step @p207 :rule nary_cong :premises (@p82 @p206) :args (@t305))
% 167.15/168.10  (step @p208 :rule cong :premises (@p207) :args (@t306))
% 167.15/168.10  (step @p209 :rule cong :premises (@p208) :args (@t307))
% 167.15/168.10  (step @p210 :rule ho_cong :premises (@p209 @p48))
% 167.15/168.10  (step @p211 :rule trans :premises (@p210 @p200))
% 167.15/168.10  (step @p212 :rule nary_cong :premises (@p55 @p211) :args (@t308))
% 167.15/168.10  (step @p213 :rule cong :premises (@p212) :args (@t309))
% 167.15/168.10  (step @p214 :rule trans :premises (@p213 @p199))
% 167.15/168.10  (step @p215 :rule cong :premises (@p214) :args (@t310))
% 167.15/168.10  (step @p216 :rule beta-reduce :args ((= (_ @t189 @t307) @t310)))
% 167.15/168.10  (step @p217 :rule trans :premises (@p216 @p215))
% 167.15/168.10  (step @p218 :rule beta-reduce :args ((= (_ (lambda @t30 (not (forall @t117 (or (not (tptp.eiw_di @t79 @t10)) (not (forall @t299 (or @t225 @t298 (and (or @t297 @t139 @t312) (or @t296 @t311 @t133 @t130 @t129))))))))) @t6 @t2) @t304)))
% 167.15/168.10  (step @p219 :rule refl :args (@t2))
% 167.15/168.10  (step @p220 :rule refl :args (@t6))
% 167.15/168.10  (step @p221 :rule alpha_equiv :args (@t314 @t201 (@list @t79)))
% 167.15/168.10  (step @p222 :rule cong :premises (@p221) :args (@t315))
% 167.15/168.10  (step @p223 :rule cong :premises (@p222) :args (@t316))
% 167.15/168.10  (step @p224 :rule ho_cong :premises (@p223 @p220 @p219))
% 167.15/168.10  (step @p225 :rule trans :premises (@p224 @p218))
% 167.15/168.10  (step @p226 :rule nary_cong :premises (@p103 @p225) :args (@t317))
% 167.15/168.10  (step @p227 :rule cong :premises (@p226) :args (@t318))
% 167.15/168.10  (step @p228 :rule cong :premises (@p227) :args (@t319))
% 167.15/168.10  (step @p229 :rule beta-reduce :args ((= (_ @t270 @t316) @t319)))
% 167.15/168.10  (step @p230 :rule trans :premises (@p229 @p228))
% 167.15/168.10  (step @p231 :rule beta-reduce :args ((= (_ (lambda @t9 (not (forall @t8 (or @t207 (not @t320))))) @t10) @t315)))
% 167.15/168.10  (step @p232 :rule beta-reduce :args ((= @t324 @t320)))
% 167.15/168.10  (step @p233 :rule cong :premises (@p232) :args (@t325))
% 167.15/168.10  (step @p234 :rule nary_cong :premises (@p103 @p233) :args (@t326))
% 167.15/168.10  (step @p235 :rule cong :premises (@p234) :args (@t327))
% 167.15/168.10  (step @p236 :rule cong :premises (@p235) :args (@t328))
% 167.15/168.10  (step @p237 :rule cong :premises (@p236) :args (@t329))
% 167.15/168.10  (step @p238 :rule beta-reduce :args ((= (_ @t235 @t323) @t329)))
% 167.15/168.10  (step @p239 :rule trans :premises (@p238 @p237))
% 167.15/168.10  (step @p240 :rule beta-reduce :args ((= (_ (lambda @t9 (forall @t299 @t330)) @t10) @t322)))
% 167.15/168.10  (step @p241 :rule aci_norm :args ((= @t332 @t330)))
% 167.15/168.10  (step @p242 :rule cong :premises (@p241) :args (@t333))
% 167.15/168.10  (step @p243 :rule quant-merge-prenex :args ((= (forall @t46 @t335) @t333)))
% 167.15/168.10  (step @p244 :rule alpha_equiv :args (@t336 (@list @t80 @t103 @t106 @t102 @t84 @t78) (@list @t6 @t341 @t340 @t339 @t338 @t337)))
% 167.15/168.10  (step @p245 :rule nary_cong :premises (@p33 @p244) :args (@t342))
% 167.15/168.10  (step @p246 :rule quant-miniscope-or :args ((= @t335 @t342)))
% 167.15/168.10  (step @p247 :rule trans :premises (@p246 @p245))
% 167.15/168.10  (step @p248 :rule symm :premises (@p247))
% 167.15/168.10  (step @p249 :rule cong :premises (@p248) :args ((forall @t46 (or @t148 @t354))))
% 167.15/168.10  (step @p250 :rule trans :premises (@p249 @p243))
% 167.15/168.10  (step @p251 :rule trans :premises (@p250 @p242))
% 167.15/168.10  (step @p252 :rule beta-reduce :args ((= @t361 @t354)))
% 167.15/168.10  (step @p253 :rule nary_cong :premises (@p55 @p252) :args (@t362))
% 167.15/168.10  (step @p254 :rule cong :premises (@p253) :args (@t363))
% 167.15/168.10  (step @p255 :rule trans :premises (@p254 @p251))
% 167.15/168.10  (step @p256 :rule cong :premises (@p255) :args (@t364))
% 167.15/168.10  (step @p257 :rule beta-reduce :args ((= (_ @t189 @t360) @t364)))
% 167.15/168.10  (step @p258 :rule trans :premises (@p257 @p256))
% 167.15/168.10  (step @p259 :rule quant-merge-prenex :args ((= (forall @t8 @t366) @t359)))
% 167.15/168.10  (step @p260 :rule alpha_equiv :args (@t367 (@list @t338 @t337) (@list @t1 @t368)))
% 167.15/168.10  (step @p261 :rule quant-unused-vars :args ((= @t369 @t367)))
% 167.15/168.10  (step @p262 :rule trans :premises (@p261 @p260))
% 167.15/168.10  (step @p263 :rule alpha_equiv :args (@t370 (@list @t341 @t340 @t339) (@list @t1 @t372 @t371)))
% 167.15/168.10  (step @p264 :rule quant-unused-vars :args ((= @t373 @t370)))
% 167.15/168.10  (step @p265 :rule trans :premises (@p264 @p263))
% 167.15/168.10  (step @p266 :rule nary_cong :premises (@p265 @p262) :args (@t374))
% 167.15/168.10  (step @p267 :rule quant-miniscope-and :args ((= @t375 @t374)))
% 167.15/168.10  (step @p268 :rule trans :premises (@p267 @p266))
% 167.15/168.10  (step @p269 :rule nary_cong :premises (@p82 @p268) :args (@t376))
% 167.15/168.10  (step @p270 :rule quant-miniscope-or :args ((= @t366 @t376)))
% 167.15/168.10  (step @p271 :rule trans :premises (@p270 @p269))
% 167.15/168.10  (step @p272 :rule symm :premises (@p271))
% 167.15/168.10  (step @p273 :rule cong :premises (@p272) :args ((forall @t8 (or @t207 @t394))))
% 167.15/168.10  (step @p274 :rule trans :premises (@p273 @p259))
% 167.15/168.10  (step @p275 :rule beta-reduce :args ((= @t397 @t394)))
% 167.15/168.10  (step @p276 :rule nary_cong :premises (@p103 @p275) :args (@t398))
% 167.15/168.10  (step @p277 :rule cong :premises (@p276) :args (@t399))
% 167.15/168.10  (step @p278 :rule trans :premises (@p277 @p274))
% 167.15/168.10  (step @p279 :rule cong :premises (@p278) :args (@t400))
% 167.15/168.10  (step @p280 :rule beta-reduce :args ((= (_ @t270 @t396) @t400)))
% 167.15/168.10  (step @p281 :rule trans :premises (@p280 @p279))
% 167.15/168.10  (step @p282 :rule beta-reduce :args ((= (_ (lambda @t9 @t394) @t10) @t395)))
% 167.15/168.10  (step @p283 :rule beta-reduce :args ((= @t402 @t385)))
% 167.15/168.10  (step @p284 :rule refl :args (@t393))
% 167.15/168.10  (step @p285 :rule nary_cong :premises (@p284 @p283) :args (@t403))
% 167.15/168.10  (step @p286 :rule cong :premises (@p285) :args (@t404))
% 167.15/168.10  (step @p287 :rule beta-reduce :args ((= (_ (lambda @t194 (and @t393 @t39)) @t401) @t404)))
% 167.15/168.11  (step @p288 :rule trans :premises (@p287 @p286))
% 167.15/168.11  (step @p289 :rule aci_norm :args ((= @t406 @t383)))
% 167.15/168.11  (step @p290 :rule cong :premises (@p289) :args (@t407))
% 167.15/168.11  (step @p291 :rule quant-merge-prenex :args ((= (forall @t46 @t409) @t407)))
% 167.15/168.11  (step @p292 :rule alpha_equiv :args (@t410 (@list @t368) @t412))
% 167.15/168.11  (step @p293 :rule refl :args (@t380))
% 167.15/168.11  (step @p294 :rule refl :args (@t382))
% 167.15/168.11  (step @p295 :rule nary_cong :premises (@p33 @p294 @p293 @p292) :args (@t413))
% 167.15/168.11  (step @p296 :rule quant-miniscope-or :args ((= @t409 @t413)))
% 167.15/168.11  (step @p297 :rule trans :premises (@p296 @p295))
% 167.15/168.11  (step @p298 :rule symm :premises (@p297))
% 167.15/168.11  (step @p299 :rule cong :premises (@p298) :args ((forall @t46 @t417)))
% 167.15/168.11  (step @p300 :rule trans :premises (@p299 @p291))
% 167.15/168.11  (step @p301 :rule trans :premises (@p300 @p290))
% 167.15/168.11  (step @p302 :rule aci_norm :args ((= (or @t148 @t418) @t417)))
% 167.15/168.11  (step @p303 :rule aci_norm :args ((= (or (or @t382 @t380) @t416) @t418)))
% 167.15/168.11  (step @p304 :rule refl :args (@t416))
% 167.15/168.11  (step @p305 :rule bool-and-de-morgan :args (@t381 @t379 true))
% 167.15/168.11  (step @p306 :rule nary_cong :premises (@p305 @p304) :args ((or (not @t419) @t416)))
% 167.15/168.11  (step @p307 :rule trans :premises (@p306 @p303))
% 167.15/168.11  (step @p308 :rule bool-impl-elim :args (@t419 @t416))
% 167.15/168.11  (step @p309 :rule trans :premises (@p308 @p307))
% 167.15/168.11  (step @p310 :rule nary_cong :premises (@p33 @p309) :args (@t421))
% 167.15/168.11  (step @p311 :rule trans :premises (@p310 @p302))
% 167.15/168.11  (step @p312 :rule cong :premises (@p311) :args ((forall @t46 @t421)))
% 167.15/168.11  (step @p313 :rule trans :premises (@p312 @p301))
% 167.15/168.11  (step @p314 :rule beta-reduce :args ((= (_ (lambda @t9 (=> (and (forall @t98 (or (not (tptp.mrel @t2 @t94)) @t348)) (forall @t92 (or (not (tptp.mrel @t2 @t89)) @t346))) (forall @t415 (or (not (tptp.mrel @t2 @t411)) @t414)))) @t1) @t420)))
% 167.15/168.11  (step @p315 :rule alpha_equiv :args (@t423 @t175 @t412))
% 167.15/168.11  (step @p316 :rule alpha_equiv :args (@t425 @t175 (@list @t89)))
% 167.15/168.11  (step @p317 :rule alpha_equiv :args (@t427 @t175 (@list @t94)))
% 167.15/168.11  (step @p318 :rule nary_cong :premises (@p317 @p316) :args (@t428))
% 167.15/168.11  (step @p319 :rule cong :premises (@p318 @p315) :args (@t429))
% 167.15/168.11  (step @p320 :rule cong :premises (@p319) :args (@t430))
% 167.15/168.11  (step @p321 :rule ho_cong :premises (@p320 @p48))
% 167.15/168.11  (step @p322 :rule trans :premises (@p321 @p314))
% 167.15/168.11  (step @p323 :rule nary_cong :premises (@p55 @p322) :args (@t431))
% 167.15/168.11  (step @p324 :rule cong :premises (@p323) :args (@t432))
% 167.15/168.11  (step @p325 :rule trans :premises (@p324 @p313))
% 167.15/168.11  (step @p326 :rule cong :premises (@p325) :args (@t433))
% 167.15/168.11  (step @p327 :rule beta-reduce :args ((= (_ @t189 @t430) @t433)))
% 167.15/168.11  (step @p328 :rule trans :premises (@p327 @p326))
% 167.15/168.11  (step @p329 :rule beta-reduce :args ((= @t435 @t423)))
% 167.15/168.11  (step @p330 :rule refl :args (@t428))
% 167.15/168.11  (step @p331 :rule cong :premises (@p330 @p329) :args (@t436))
% 167.15/168.11  (step @p332 :rule cong :premises (@p331) :args (@t437))
% 167.15/168.11  (step @p333 :rule beta-reduce :args ((= (_ (lambda @t194 (=> @t428 @t39)) @t434) @t437)))
% 167.15/168.11  (step @p334 :rule trans :premises (@p333 @p332))
% 167.15/168.11  (step @p335 :rule refl :args (@t422))
% 167.15/168.11  (step @p336 :rule refl :args (@t438))
% 167.15/168.11  (step @p337 :rule cong :premises (@p336 @p335) :args ((= @t438 @t422)))
% 167.15/168.11  (step @p338 :rule symm :premises (@p337))
% 167.15/168.11  (step @p339 :rule eq_resolve :premises (@p336 @p338))
% 167.15/168.11  (step @p340 :rule nary_cong :premises (@p33 @p339) :args (@t439))
% 167.15/168.11  (step @p341 :rule cong :premises (@p340) :args ((forall @t46 @t439)))
% 167.15/168.11  (step @p342 :rule refl :args (@t440))
% 167.15/168.11  (step @p343 :rule nary_cong :premises (@p55 @p342) :args (@t441))
% 167.15/168.11  (step @p344 :rule cong :premises (@p343) :args (@t442))
% 167.15/168.11  (step @p345 :rule trans :premises (@p344 @p341))
% 167.15/168.11  (step @p346 :rule cong :premises (@p345) :args (@t443))
% 167.15/168.11  (step @p347 :rule beta-reduce :args ((= @t444 @t443)))
% 167.15/168.11  (step @p348 :rule trans :premises (@p347 @p346))
% 167.15/168.11  (step @p349 :rule beta-reduce :args ((= @t446 @t428)))
% 167.15/168.11  (step @p350 :rule cong :premises (@p349 @p183) :args (@t447))
% 167.15/168.11  (step @p351 :rule cong :premises (@p350) :args (@t448))
% 167.15/168.11  (step @p352 :rule beta-reduce :args ((= (_ @t43 @t445) @t448)))
% 167.15/168.11  (step @p353 :rule trans :premises (@p352 @p351))
% 167.15/168.11  (step @p354 :rule beta-reduce :args ((= @t450 @t425)))
% 167.15/168.11  (step @p355 :rule refl :args (@t427))
% 167.15/168.11  (step @p356 :rule nary_cong :premises (@p355 @p354) :args (@t451))
% 167.15/168.11  (step @p357 :rule cong :premises (@p356) :args (@t452))
% 167.15/168.11  (step @p358 :rule beta-reduce :args ((= (_ (lambda @t194 (and @t427 @t39)) @t449) @t452)))
% 167.15/168.11  (step @p359 :rule trans :premises (@p358 @p357))
% 167.15/168.11  (step @p360 :rule beta-reduce :args ((= (_ (lambda @t9 (not (forall @t91 (or (not (tptp.mrel @t2 @t87)) @t345)))) @t1) @t424)))
% 167.15/168.11  (step @p361 :rule alpha_equiv :args (@t454 @t175 @t455))
% 167.15/168.11  (step @p362 :rule cong :premises (@p361) :args (@t456))
% 167.15/168.11  (step @p363 :rule cong :premises (@p362) :args (@t457))
% 167.15/168.11  (step @p364 :rule ho_cong :premises (@p363 @p48))
% 167.15/168.11  (step @p365 :rule trans :premises (@p364 @p360))
% 167.15/168.11  (step @p366 :rule nary_cong :premises (@p55 @p365) :args (@t458))
% 167.15/168.11  (step @p367 :rule cong :premises (@p366) :args (@t459))
% 167.15/168.11  (step @p368 :rule cong :premises (@p367) :args (@t460))
% 167.15/168.11  (step @p369 :rule beta-reduce :args ((= (_ @t189 @t457) @t460)))
% 167.15/168.11  (step @p370 :rule trans :premises (@p369 @p368))
% 167.15/168.11  (step @p371 :rule beta-reduce :args ((= @t462 @t454)))
% 167.15/168.11  (step @p372 :rule cong :premises (@p371) :args (@t463))
% 167.15/168.11  (step @p373 :rule cong :premises (@p372) :args (@t464))
% 167.15/168.11  (step @p374 :rule beta-reduce :args ((= (_ @t37 @t461) @t464)))
% 167.15/168.11  (step @p375 :rule trans :premises (@p374 @p373))
% 167.15/168.11  (step @p376 :rule refl :args (@t453))
% 167.15/168.11  (step @p377 :rule refl :args (@t465))
% 167.15/168.11  (step @p378 :rule cong :premises (@p377 @p376) :args ((= @t465 @t453)))
% 167.15/168.11  (step @p379 :rule symm :premises (@p378))
% 167.15/168.11  (step @p380 :rule eq_resolve :premises (@p377 @p379))
% 167.15/168.11  (step @p381 :rule nary_cong :premises (@p33 @p380) :args (@t466))
% 167.15/168.11  (step @p382 :rule cong :premises (@p381) :args ((forall @t46 @t466)))
% 167.15/168.11  (step @p383 :rule refl :args (@t467))
% 167.15/168.11  (step @p384 :rule nary_cong :premises (@p55 @p383) :args (@t468))
% 167.15/168.11  (step @p385 :rule cong :premises (@p384) :args (@t469))
% 167.15/168.11  (step @p386 :rule trans :premises (@p385 @p382))
% 167.15/168.11  (step @p387 :rule cong :premises (@p386) :args (@t470))
% 167.15/168.11  (step @p388 :rule beta-reduce :args ((= @t471 @t470)))
% 167.15/168.11  (step @p389 :rule trans :premises (@p388 @p387))
% 167.15/168.11  (step @p390 :rule ho_cong :premises (@p178 @p389))
% 167.15/168.11  (step @p391 :rule trans :premises (@p390 @p375))
% 167.15/168.11  (step @p392 :rule ho_cong :premises (@p169 @p391))
% 167.15/168.11  (step @p393 :rule trans :premises (@p392 @p370))
% 167.15/168.11  (step @p394 :rule beta-reduce :args ((= @t473 @t427)))
% 167.15/168.11  (step @p395 :rule nary_cong :premises (@p394 @p183) :args (@t474))
% 167.15/168.11  (step @p396 :rule cong :premises (@p395) :args (@t475))
% 167.15/168.11  (step @p397 :rule beta-reduce :args ((= (_ @t41 @t472) @t475)))
% 167.15/168.11  (step @p398 :rule trans :premises (@p397 @p396))
% 167.15/168.11  (step @p399 :rule refl :args (@t426))
% 167.15/168.11  (step @p400 :rule refl :args (@t476))
% 167.15/168.11  (step @p401 :rule cong :premises (@p400 @p399) :args ((= @t476 @t426)))
% 167.15/168.11  (step @p402 :rule symm :premises (@p401))
% 167.15/168.11  (step @p403 :rule eq_resolve :premises (@p400 @p402))
% 167.15/168.11  (step @p404 :rule nary_cong :premises (@p33 @p403) :args (@t477))
% 167.15/168.11  (step @p405 :rule cong :premises (@p404) :args ((forall @t46 @t477)))
% 167.15/168.11  (step @p406 :rule refl :args (@t478))
% 167.15/168.11  (step @p407 :rule nary_cong :premises (@p55 @p406) :args (@t479))
% 167.15/168.11  (step @p408 :rule cong :premises (@p407) :args (@t480))
% 167.15/168.11  (step @p409 :rule trans :premises (@p408 @p405))
% 167.15/168.11  (step @p410 :rule cong :premises (@p409) :args (@t481))
% 167.15/168.11  (step @p411 :rule beta-reduce :args ((= @t482 @t481)))
% 167.15/168.11  (step @p412 :rule trans :premises (@p411 @p410))
% 167.15/168.11  (step @p413 :rule refl :args (@t41))
% 167.15/168.11  (step @p414 :rule ho_cong :premises (@p413 @p412))
% 167.15/168.11  (step @p415 :rule trans :premises (@p414 @p398))
% 167.15/168.11  (step @p416 :rule ho_cong :premises (@p415 @p393))
% 167.15/168.11  (step @p417 :rule trans :premises (@p416 @p359))
% 167.15/168.11  (step @p418 :rule refl :args (@t43))
% 167.15/168.11  (step @p419 :rule ho_cong :premises (@p418 @p417))
% 167.15/168.11  (step @p420 :rule trans :premises (@p419 @p353))
% 167.15/168.11  (step @p421 :rule ho_cong :premises (@p420 @p348))
% 167.15/168.11  (step @p422 :rule trans :premises (@p421 @p334))
% 167.15/168.11  (step @p423 :rule ho_cong :premises (@p169 @p422))
% 167.15/168.11  (step @p424 :rule trans :premises (@p423 @p328))
% 167.15/168.11  (step @p425 :rule beta-reduce :args ((= @t484 @t393)))
% 167.15/168.11  (step @p426 :rule nary_cong :premises (@p425 @p183) :args (@t485))
% 167.15/168.11  (step @p427 :rule cong :premises (@p426) :args (@t486))
% 167.15/168.11  (step @p428 :rule beta-reduce :args ((= (_ @t41 @t483) @t486)))
% 167.15/168.11  (step @p429 :rule trans :premises (@p428 @p427))
% 167.15/168.11  (step @p430 :rule quant-merge-prenex :args ((= (forall @t46 @t488) @t393)))
% 167.15/168.11  (step @p431 :rule alpha_equiv :args (@t489 (@list @t371) @t491))
% 167.15/168.11  (step @p432 :rule quant-unused-vars :args ((= @t492 @t489)))
% 167.15/168.11  (step @p433 :rule trans :premises (@p432 @p431))
% 167.15/168.11  (step @p434 :rule alpha_equiv :args (@t493 (@list @t372) @t495))
% 167.15/168.11  (step @p435 :rule quant-unused-vars :args ((= @t496 @t493)))
% 167.15/168.11  (step @p436 :rule trans :premises (@p435 @p434))
% 167.15/168.11  (step @p437 :rule nary_cong :premises (@p436 @p433) :args (@t497))
% 167.15/168.11  (step @p438 :rule quant-miniscope-and :args ((= @t498 @t497)))
% 167.15/168.11  (step @p439 :rule trans :premises (@p438 @p437))
% 167.15/168.11  (step @p440 :rule refl :args (@t390))
% 167.15/168.11  (step @p441 :rule nary_cong :premises (@p33 @p440 @p439) :args (@t499))
% 167.15/168.11  (step @p442 :rule quant-miniscope-or :args ((= @t488 @t499)))
% 167.15/168.11  (step @p443 :rule trans :premises (@p442 @p441))
% 167.15/168.11  (step @p444 :rule symm :premises (@p443))
% 167.15/168.11  (step @p445 :rule cong :premises (@p444) :args ((forall @t46 @t505)))
% 167.15/168.11  (step @p446 :rule trans :premises (@p445 @p430))
% 167.15/168.11  (step @p447 :rule aci_norm :args ((= (or @t148 (or @t390 @t504)) @t505)))
% 167.15/168.11  (step @p448 :rule bool-impl-elim :args (@t389 @t504))
% 167.15/168.11  (step @p449 :rule nary_cong :premises (@p33 @p448) :args (@t507))
% 167.15/168.11  (step @p450 :rule trans :premises (@p449 @p447))
% 167.15/168.11  (step @p451 :rule cong :premises (@p450) :args ((forall @t46 @t507)))
% 167.15/168.11  (step @p452 :rule trans :premises (@p451 @p446))
% 167.15/168.11  (step @p453 :rule beta-reduce :args ((= (_ (lambda @t9 (=> (forall @t110 (or (not (tptp.mrel @t2 @t108)) @t351)) (and (forall @t503 (or (not (tptp.mrel @t2 @t494)) @t502)) (forall @t501 (or (not (tptp.mrel @t2 @t490)) @t500))))) @t1) @t506)))
% 167.15/168.11  (step @p454 :rule alpha_equiv :args (@t425 @t175 @t491))
% 167.15/168.11  (step @p455 :rule alpha_equiv :args (@t427 @t175 @t495))
% 167.15/168.11  (step @p456 :rule nary_cong :premises (@p455 @p454) :args (@t428))
% 167.15/168.11  (step @p457 :rule alpha_equiv :args (@t423 @t175 @t508))
% 167.15/168.11  (step @p458 :rule cong :premises (@p457 @p456) :args (@t509))
% 167.15/168.11  (step @p459 :rule cong :premises (@p458) :args (@t510))
% 167.15/168.11  (step @p460 :rule ho_cong :premises (@p459 @p48))
% 167.15/168.11  (step @p461 :rule trans :premises (@p460 @p453))
% 167.15/168.11  (step @p462 :rule nary_cong :premises (@p55 @p461) :args (@t511))
% 167.15/168.11  (step @p463 :rule cong :premises (@p462) :args (@t512))
% 167.15/168.11  (step @p464 :rule trans :premises (@p463 @p452))
% 167.15/168.11  (step @p465 :rule cong :premises (@p464) :args (@t513))
% 167.15/168.11  (step @p466 :rule beta-reduce :args ((= (_ @t189 @t510) @t513)))
% 167.15/168.11  (step @p467 :rule trans :premises (@p466 @p465))
% 167.15/168.11  (step @p468 :rule refl :args (@t423))
% 167.15/168.11  (step @p469 :rule cong :premises (@p468 @p349) :args (@t514))
% 167.15/168.11  (step @p470 :rule cong :premises (@p469) :args (@t515))
% 167.15/168.11  (step @p471 :rule beta-reduce :args ((= (_ (lambda @t194 (=> @t423 @t39)) @t445) @t515)))
% 167.15/168.11  (step @p472 :rule trans :premises (@p471 @p470))
% 167.15/168.11  (step @p473 :rule cong :premises (@p329 @p183) :args (@t516))
% 167.15/168.11  (step @p474 :rule cong :premises (@p473) :args (@t517))
% 167.15/168.11  (step @p475 :rule beta-reduce :args ((= (_ @t43 @t434) @t517)))
% 167.15/168.11  (step @p476 :rule trans :premises (@p475 @p474))
% 167.15/168.11  (step @p477 :rule ho_cong :premises (@p418 @p348))
% 167.15/168.11  (step @p478 :rule trans :premises (@p477 @p476))
% 167.15/168.11  (step @p479 :rule ho_cong :premises (@p478 @p417))
% 167.15/168.11  (step @p480 :rule trans :premises (@p479 @p472))
% 167.15/168.11  (step @p481 :rule ho_cong :premises (@p169 @p480))
% 167.15/168.11  (step @p482 :rule trans :premises (@p481 @p467))
% 167.15/168.11  (step @p483 :rule ho_cong :premises (@p413 @p482))
% 167.15/168.11  (step @p484 :rule trans :premises (@p483 @p429))
% 167.15/168.11  (step @p485 :rule ho_cong :premises (@p484 @p424))
% 167.15/168.11  (step @p486 :rule trans :premises (@p485 @p288))
% 167.15/168.11  (step @p487 :rule ho_cong :premises (@p486 @p111))
% 167.15/168.11  (step @p488 :rule trans :premises (@p487 @p282))
% 167.15/168.11  (step @p489 :rule cong :premises (@p488) :args (@t519))
% 167.15/168.11  (step @p490 :rule ho_cong :premises (@p166 @p489))
% 167.15/168.11  (step @p491 :rule trans :premises (@p490 @p281))
% 167.15/168.11  (step @p492 :rule ho_cong :premises (@p169 @p491))
% 167.15/168.11  (step @p493 :rule trans :premises (@p492 @p258))
% 167.15/168.11  (step @p494 :rule ho_cong :premises (@p493 @p111))
% 167.15/168.11  (step @p495 :rule trans :premises (@p494 @p240))
% 167.15/168.11  (step @p496 :rule cong :premises (@p495) :args (@t520))
% 167.15/168.11  (step @p497 :rule ho_cong :premises (@p175 @p496))
% 167.15/168.11  (step @p498 :rule trans :premises (@p497 @p239))
% 167.15/168.11  (step @p499 :rule ho_cong :premises (@p498 @p111))
% 167.15/168.11  (step @p500 :rule trans :premises (@p499 @p231))
% 167.15/168.11  (step @p501 :rule cong :premises (@p500) :args (@t521))
% 167.15/168.11  (step @p502 :rule ho_cong :premises (@p166 @p501))
% 167.15/168.11  (step @p503 :rule trans :premises (@p502 @p230))
% 167.15/168.11  (step @p504 :rule ho_cong :premises (@p169 @p503))
% 167.15/168.11  (step @p505 :rule trans :premises (@p504 @p217))
% 167.15/168.11  (step @p506 :rule ho_cong :premises (@p418 @p505))
% 167.15/168.11  (step @p507 :rule trans :premises (@p506 @p188))
% 167.15/168.11  (step @p508 :rule ho_cong :premises (@p507 @p182))
% 167.15/168.11  (step @p509 :rule trans :premises (@p508 @p67))
% 167.15/168.11  (step @p510 :rule ho_cong :premises (@p169 @p509))
% 167.15/168.11  (step @p511 :rule trans :premises (@p510 @p61))
% 167.15/168.11  (step @p512 :rule refl :args (@t34))
% 167.15/168.11  (step @p513 :rule ho_cong :premises (@p512 @p511))
% 167.15/168.11  (step @p514 :rule trans :premises (@p513 @p27))
% 167.15/168.11  (step @p515 :rule cong :premises (@p514) :args ((not (_ @t34 (_ @t189 (_ (_ @t43 (_ @t189 (_ @t270 @t521))) (_ @t189 (_ @t37 (_ @t235 @t279)))))))))
% 167.15/168.11  (step @p516 :rule refl :args (@t13))
% 167.15/168.11  (step @p517 :rule refl :args (@t188))
% 167.15/168.11  (step @p518 :rule refl :args (@t45))
% 167.15/168.11  (step @p519 :rule cong :premises (@p518 @p517) :args ((= @t45 @t188)))
% 167.15/168.11  (step @p520 :rule symm :premises (@p519))
% 167.15/168.11  (step @p521 :rule eq_resolve :premises (@p518 @p520))
% 167.15/168.11  (step @p522 :rule cong :premises (@p20) :args (@t522))
% 167.15/168.11  (step @p523 :rule nary_cong :premises (@p522 @p521) :args (@t523))
% 167.15/168.11  (step @p524 :rule cong :premises (@p523) :args ((forall @t46 @t523)))
% 167.15/168.11  (step @p525 :rule bool-impl-elim :args (@t3 @t45))
% 167.15/168.11  (step @p526 :rule cong :premises (@p525) :args (@t47))
% 167.15/168.11  (step @p527 :rule trans :premises (@p526 @p524))
% 167.15/168.11  (step @p528 :rule cong :premises (@p527) :args (@t49))
% 167.15/168.11  (step @p529 :rule trans :premises (@p11 @p528))
% 167.15/168.11  (step @p530 :rule ho_cong :premises (@p529 @p516))
% 167.15/168.11  (step @p531 :rule ho_cong :premises (@p530 @p111))
% 167.15/168.11  (step @p532 :rule cong :premises (@p531) :args (@t15))
% 167.15/168.11  (step @p533 :rule refl :args (@t234))
% 167.15/168.11  (step @p534 :rule refl :args (@t52))
% 167.15/168.11  (step @p535 :rule cong :premises (@p534 @p533) :args ((= @t52 @t234)))
% 167.15/168.11  (step @p536 :rule symm :premises (@p535))
% 167.15/168.11  (step @p537 :rule eq_resolve :premises (@p534 @p536))
% 167.15/168.11  (step @p538 :rule refl :args (@t206))
% 167.15/168.11  (step @p539 :rule refl :args (@t7))
% 167.15/168.11  (step @p540 :rule cong :premises (@p539 @p538) :args ((= @t7 @t206)))
% 167.15/168.11  (step @p541 :rule symm :premises (@p540))
% 167.15/168.11  (step @p542 :rule eq_resolve :premises (@p539 @p541))
% 167.15/168.11  (step @p543 :rule cong :premises (@p542) :args (@t524))
% 167.15/168.11  (step @p544 :rule nary_cong :premises (@p543 @p537) :args (@t525))
% 167.15/168.11  (step @p545 :rule cong :premises (@p544) :args ((forall @t8 @t525)))
% 167.15/168.11  (step @p546 :rule bool-impl-elim :args (@t7 @t52))
% 167.15/168.11  (step @p547 :rule cong :premises (@p546) :args (@t53))
% 167.15/168.11  (step @p548 :rule trans :premises (@p547 @p545))
% 167.15/168.11  (step @p549 :rule cong :premises (@p548) :args (@t55))
% 167.15/168.11  (step @p550 :rule trans :premises (@p13 @p549))
% 167.15/168.11  (step @p551 :rule ho_cong :premises (@p550 @p532))
% 167.15/168.11  (step @p552 :rule ho_cong :premises (@p529 @p551))
% 167.15/168.11  (step @p553 :rule ho_cong :premises (@p552 @p111))
% 167.15/168.11  (step @p554 :rule cong :premises (@p553) :args (@t17))
% 167.15/168.11  (step @p555 :rule cong :premises (@p537) :args (@t526))
% 167.15/168.11  (step @p556 :rule nary_cong :premises (@p543 @p555) :args (@t527))
% 167.15/168.11  (step @p557 :rule cong :premises (@p556) :args ((forall @t8 @t527)))
% 167.15/168.11  (step @p558 :rule bool-and-de-morgan :args (@t7 @t52 true))
% 167.15/168.11  (step @p559 :rule cong :premises (@p558) :args (@t528))
% 167.15/168.11  (step @p560 :rule trans :premises (@p559 @p557))
% 167.15/168.11  (step @p561 :rule cong :premises (@p560) :args (@t529))
% 167.15/168.11  (step @p562 :rule exists-elim :args ((= @t57 @t529)))
% 167.15/168.11  (step @p563 :rule trans :premises (@p562 @p561))
% 167.15/168.11  (step @p564 :rule cong :premises (@p563) :args (@t58))
% 167.15/168.11  (step @p565 :rule trans :premises (@p14 @p564))
% 167.15/168.11  (step @p566 :rule ho_cong :premises (@p565 @p554))
% 167.15/168.11  (step @p567 :rule ho_cong :premises (@p6 @p566))
% 167.15/168.11  (step @p568 :rule ho_cong :premises (@p529 @p567))
% 167.15/168.11  (step @p569 :rule refl :args (@t20))
% 167.15/168.11  (step @p570 :rule ho_cong :premises (@p529 @p569))
% 167.15/168.11  (step @p571 :rule refl :args (@t22))
% 167.15/168.11  (step @p572 :rule ho_cong :premises (@p529 @p571))
% 167.15/168.11  (step @p573 :rule ho_cong :premises (@p6 @p572))
% 167.15/168.11  (step @p574 :rule ho_cong :premises (@p529 @p573))
% 167.15/168.11  (step @p575 :rule refl :args (@t24))
% 167.15/168.11  (step @p576 :rule ho_cong :premises (@p529 @p575))
% 167.15/168.11  (step @p577 :rule ho_cong :premises (@p7 @p576))
% 167.15/168.11  (step @p578 :rule ho_cong :premises (@p577 @p574))
% 167.15/168.11  (step @p579 :rule ho_cong :premises (@p9 @p578))
% 167.15/168.11  (step @p580 :rule ho_cong :premises (@p579 @p570))
% 167.15/168.11  (step @p581 :rule ho_cong :premises (@p529 @p580))
% 167.15/168.11  (step @p582 :rule ho_cong :premises (@p9 @p570))
% 167.15/168.11  (step @p583 :rule ho_cong :premises (@p582 @p578))
% 167.15/168.11  (step @p584 :rule ho_cong :premises (@p529 @p583))
% 167.15/168.11  (step @p585 :rule ho_cong :premises (@p7 @p584))
% 167.15/168.11  (step @p586 :rule ho_cong :premises (@p585 @p581))
% 167.15/168.11  (step @p587 :rule ho_cong :premises (@p586 @p111))
% 167.15/168.11  (step @p588 :rule cong :premises (@p587) :args (@t27))
% 167.15/168.11  (step @p589 :rule ho_cong :premises (@p550 @p588))
% 167.15/168.11  (step @p590 :rule ho_cong :premises (@p529 @p589))
% 167.15/168.11  (step @p591 :rule ho_cong :premises (@p590 @p111))
% 167.15/168.11  (step @p592 :rule cong :premises (@p591) :args (@t29))
% 167.15/168.11  (step @p593 :rule ho_cong :premises (@p565 @p592))
% 167.15/168.11  (step @p594 :rule ho_cong :premises (@p593 @p111))
% 167.15/168.11  (step @p595 :rule cong :premises (@p594) :args (@t31))
% 167.15/168.11  (step @p596 :rule ho_cong :premises (@p550 @p595))
% 167.15/168.11  (step @p597 :rule ho_cong :premises (@p529 @p596))
% 167.15/168.11  (step @p598 :rule ho_cong :premises (@p9 @p597))
% 167.15/168.11  (step @p599 :rule ho_cong :premises (@p598 @p568))
% 167.15/168.11  (step @p600 :rule ho_cong :premises (@p529 @p599))
% 167.15/168.11  (step @p601 :rule ho_cong :premises (@p5 @p600))
% 167.15/168.11  (step @p602 :rule cong :premises (@p601) :args (@t32))
% 167.15/168.11  (step @p603 :rule trans :premises (@p602 @p515))
% 167.15/168.11  (step @p604 :rule trans :premises (@p603 @p24))
% 167.15/168.11  (step @p605 :rule eq_resolve :premises (@p3 @p604))
% 167.15/168.11  (step @p606 :rule skolemize :premises (@p605))
% 167.15/168.11  (step @p607 :rule bool-double-not-elim :args (@t532))
% 167.15/168.11  (step @p608 :rule refl :args (@t544))
% 167.15/168.11  (step @p609 :rule nary_cong :premises (@p608 @p607) :args ((or @t544 (not @t542))))
% 167.15/168.11  (step @p610 :rule cnf_or_neg :args (@t544 1))
% 167.15/168.11  (step @p611 :rule eq_resolve :premises (@p610 @p609))
% 167.15/168.11  (step @p612 :rule reordering :premises (@p611) :args ((or @t532 @t544)))
% 167.15/168.11  (step @p613 :rule chain_m_resolution :premises (@p612 @p606) :args (@t532 @t545 @t546))
% 167.15/168.11  (step @p614 :rule instantiate :premises (@p613) :args ((@list @t534 @t533)))
% 167.15/168.11  (step @p615 :rule bool-double-not-elim :args (@t538))
% 167.15/168.11  (step @p616 :rule nary_cong :premises (@p608 @p615) :args ((or @t544 (not @t539))))
% 167.15/168.11  (step @p617 :rule cnf_or_neg :args (@t544 3))
% 167.15/168.11  (step @p618 :rule eq_resolve :premises (@p617 @p616))
% 167.15/168.11  (step @p619 :rule reordering :premises (@p618) :args ((or @t538 @t544)))
% 167.15/168.11  (step @p620 :rule chain_m_resolution :premises (@p619 @p606) :args (@t538 @t545 @t546))
% 167.15/168.11  (step @p621 :rule bool-double-not-elim :args (@t540))
% 167.15/168.11  (step @p622 :rule nary_cong :premises (@p608 @p621) :args ((or @t544 (not @t541))))
% 167.15/168.11  (step @p623 :rule cnf_or_neg :args (@t544 2))
% 167.15/168.11  (step @p624 :rule eq_resolve :premises (@p623 @p622))
% 167.15/168.11  (step @p625 :rule reordering :premises (@p624) :args ((or @t540 @t544)))
% 167.15/168.11  (step @p626 :rule chain_m_resolution :premises (@p625 @p606) :args (@t540 @t545 @t546))
% 167.15/168.11  (step @p627 :rule cnf_or_pos :args (@t553))
% 167.15/168.11  (step @p628 :rule reordering :premises (@p627) :args ((or @t541 @t539 @t552 (not @t553))))
% 167.15/168.11  (step @p629 :rule chain_m_resolution :premises (@p628 @p626 @p620 @p614) :args (@t552 @t554 (@list @t540 @t538 @t553)))
% 167.15/168.11  (step @p630 :rule skolemize :premises (@p629))
% 167.15/168.11  (step @p631 :rule bool-double-not-elim :args (@t557))
% 167.15/168.11  (step @p632 :rule refl :args (@t561))
% 167.15/168.11  (step @p633 :rule nary_cong :premises (@p632 @p631) :args ((or @t561 (not @t558))))
% 167.15/168.11  (step @p634 :rule cnf_or_neg :args (@t561 1))
% 167.15/168.11  (step @p635 :rule eq_resolve :premises (@p634 @p633))
% 167.15/168.11  (step @p636 :rule reordering :premises (@p635) :args ((or @t557 @t561)))
% 167.15/168.11  (step @p637 :rule chain_m_resolution :premises (@p636 @p630) :args (@t557 @t545 @t562))
% 167.15/168.11  (step @p638 :rule instantiate :premises (@p637) :args ((@list @t534 @t555 @t534 @t571 tptp.mactual @t534 @t567)))
% 167.15/168.11  (step @p639 :rule instantiate :premises (@p23) :args ((@list @t534 @t534)))
% 167.15/168.11  (step @p640 :rule bool-double-not-elim :args (@t559))
% 167.15/168.11  (step @p641 :rule nary_cong :premises (@p632 @p640) :args ((or @t561 (not @t560))))
% 167.15/168.11  (step @p642 :rule cnf_or_neg :args (@t561 0))
% 167.15/168.11  (step @p643 :rule eq_resolve :premises (@p642 @p641))
% 167.15/168.11  (step @p644 :rule reordering :premises (@p643) :args ((or @t559 @t561)))
% 167.15/168.11  (step @p645 :rule chain_m_resolution :premises (@p644 @p630) :args (@t559 @t545 @t562))
% 167.15/168.11  (step @p646 :rule cnf_or_pos :args (@t592))
% 167.15/168.11  (step @p647 :rule reordering :premises (@p646) :args ((or @t560 @t582 @t591 (not @t592))))
% 167.15/168.11  (step @p648 :rule chain_m_resolution :premises (@p647 @p645 @p639 @p638) :args (@t591 @t554 (@list @t559 @t581 @t592)))
% 167.15/168.11  (step @p649 :rule cnf_and_pos :args (@t591 1))
% 167.15/168.11  (step @p650 :rule reordering :premises (@p649) :args ((or @t583 (not @t591))))
% 167.15/168.11  (step @p651 :rule chain_m_resolution :premises (@p650 @p648) :args (@t583 @t593 (@list @t591)))
% 167.15/168.11  (step @p652 :rule instantiate :premises (@p23) :args ((@list @t534 @t567)))
% 167.15/168.11  (step @p653 :rule instantiate :premises (@p23) :args ((@list tptp.mactual @t595)))
% 167.15/168.11  (step @p654 :rule alpha_equiv :args (@t594 @t455 @t508))
% 167.15/168.11  (step @p655 :rule equiv_elim1 :premises (@p654))
% 167.15/168.11  (assume-push @p775 @t594)
% 167.15/168.11  (step @p657 :rule instantiate :premises (@p775) :args (@t596))
% 167.15/168.11  (step-pop @p776 :rule scope :premises (@p657))
% 167.15/168.11  (step @p658 :rule process_scope :premises (@p776) :args (@t597))
% 167.15/168.11  (step @p660 :rule implies_elim :premises (@p658))
% 167.15/168.11  (step @p661 :rule instantiate :premises (@p637) :args ((@list @t534 @t555 @t534 tptp.mactual tptp.mactual tptp.mactual @t530)))
% 167.15/168.11  (step @p662 :rule cnf_or_pos :args (@t601))
% 167.15/168.11  (step @p663 :rule reordering :premises (@p662) :args ((or @t560 @t582 @t600 (not @t601))))
% 167.15/168.11  (step @p664 :rule chain_m_resolution :premises (@p663 @p645 @p639 @p661) :args (@t600 @t554 (@list @t559 @t581 @t601)))
% 167.15/168.11  (step @p665 :rule cnf_and_pos :args (@t600 0))
% 167.15/168.11  (step @p666 :rule reordering :premises (@p665) :args ((or @t599 (not @t600))))
% 167.15/168.11  (step @p667 :rule chain_m_resolution :premises (@p666 @p664) :args (@t599 @t593 (@list @t600)))
% 167.15/168.11  (step @p668 :rule cnf_or_pos :args (@t599))
% 167.15/168.11  (step @p669 :rule reordering :premises (@p668) :args ((or @t582 @t590 @t598 (not @t599))))
% 167.15/168.11  (step @p670 :rule cnf_or_pos :args (@t597))
% 167.15/168.11  (step @p671 :rule reordering :premises (@p670) :args ((or @t572 @t574 (not @t597))))
% 167.15/168.11  (step @p672 :rule cnf_and_pos :args (@t598 1))
% 167.15/168.11  (step @p673 :rule reordering :premises (@p672) :args ((or @t588 (not @t598))))
% 167.15/168.11  (step @p674 :rule cnf_or_neg :args (@t602 1))
% 167.15/168.11  (step @p675 :rule instantiate :premises (@p23) :args ((@list @t534 tptp.mactual)))
% 167.15/168.11  (step @p676 :rule cnf_or_pos :args (@t588))
% 167.15/168.11  (step @p677 :rule reordering :premises (@p676) :args ((or @t587 @t585 (not @t588))))
% 167.15/168.11  (step @p678 :rule refl :args (@t603))
% 167.15/168.11  (step @p679 :rule bool-double-not-elim :args (@t566))
% 167.15/168.11  (step @p680 :rule nary_cong :premises (@p679 @p678) :args ((or (not @t604) @t603)))
% 167.15/168.11  (assume-push @p777 @t604)
% 167.15/168.11  (step @p682 :rule skolemize :premises (@p777))
% 167.15/168.11  (step-pop @p778 :rule scope :premises (@p682))
% 167.15/168.11  (step @p683 :rule process_scope :premises (@p778) :args (@t603))
% 167.15/168.11  (step @p685 :rule implies_elim :premises (@p683))
% 167.15/168.11  (step @p686 :rule eq_resolve :premises (@p685 @p680))
% 167.15/168.11  (step @p687 :rule alpha_equiv :args (@t566 @t508 @t455))
% 167.15/168.11  (step @p688 :rule equiv_elim1 :premises (@p687))
% 167.15/168.11  (step @p689 :rule chain_m_resolution :premises (@p688 @p686 @p677 @p675 @p674 @p673 @p671 @p652 @p669 @p667 @p639 @p660 @p655) :args (@t605 (@list false true false false false false false false false false false false) (@list @t566 @t584 @t586 @t602 @t588 @t572 @t573 @t598 @t599 @t581 @t597 @t589)))
% 167.15/168.11  (step @p690 :rule refl :args (@t608))
% 167.15/168.11  (step @p691 :rule bool-double-not-elim :args (@t594))
% 167.15/168.11  (step @p692 :rule nary_cong :premises (@p691 @p690) :args ((or (not @t605) @t608)))
% 167.15/168.11  (assume-push @p779 @t605)
% 167.15/168.11  (step @p694 :rule skolemize :premises (@p779))
% 167.15/168.11  (step-pop @p780 :rule scope :premises (@p694))
% 167.15/168.11  (step @p695 :rule process_scope :premises (@p780) :args (@t608))
% 167.15/168.11  (step @p697 :rule implies_elim :premises (@p695))
% 167.15/168.11  (step @p698 :rule eq_resolve :premises (@p697 @p692))
% 167.15/168.11  (step @p699 :rule chain_m_resolution :premises (@p698 @p689) :args (@t608 @t545 (@list @t594)))
% 167.15/168.11  (step @p700 :rule cnf_or_neg :args (@t607 1))
% 167.15/168.11  (step @p701 :rule chain_m_resolution :premises (@p700 @p699) :args ((not @t606) @t545 (@list @t607)))
% 167.15/168.11  (step @p702 :rule cnf_or_pos :args (@t611))
% 167.15/168.11  (step @p703 :rule reordering :premises (@p702) :args ((or @t606 @t610 @t612)))
% 167.15/168.11  (step @p704 :rule chain_m_resolution :premises (@p703 @p701 @p653) :args (@t612 @t613 (@list @t606 @t609)))
% 167.15/168.11  (assume-push @p781 @t566)
% 167.15/168.11  (step @p706 :rule instantiate :premises (@p781) :args ((@list @t595)))
% 167.15/168.11  (step-pop @p782 :rule scope :premises (@p706))
% 167.15/168.11  (step @p707 :rule process_scope :premises (@p782) :args (@t611))
% 167.15/168.11  (step @p709 :rule implies_elim :premises (@p707))
% 167.15/168.11  (step @p710 :rule chain_m_resolution :premises (@p709 @p704) :args (@t604 @t545 (@list @t611)))
% 167.15/168.11  (step @p711 :rule chain_m_resolution :premises (@p686 @p710) :args (@t603 @t545 (@list @t566)))
% 167.15/168.11  (step @p712 :rule chain_m_resolution :premises (@p674 @p711) :args ((not @t572) @t545 (@list @t602)))
% 167.15/168.11  (step @p713 :rule bool-double-not-elim :args (@t615))
% 167.15/168.11  (step @p714 :rule refl :args (@t618))
% 167.15/168.11  (step @p715 :rule nary_cong :premises (@p714 @p713) :args ((or @t618 (not @t617))))
% 167.15/168.11  (step @p716 :rule cnf_or_neg :args (@t618 0))
% 167.15/168.11  (step @p717 :rule eq_resolve :premises (@p716 @p715))
% 167.15/168.11  (step @p718 :rule reordering :premises (@p717) :args ((or @t615 @t618)))
% 167.15/168.11  (step @p719 :rule cnf_or_neg :args (@t618 1))
% 167.15/168.11  (step @p720 :rule bool-double-not-elim :args (@t536))
% 167.15/168.11  (step @p721 :rule nary_cong :premises (@p608 @p720) :args ((or @t544 (not @t537))))
% 167.15/168.11  (step @p722 :rule cnf_or_neg :args (@t544 4))
% 167.15/168.11  (step @p723 :rule eq_resolve :premises (@p722 @p721))
% 167.15/168.11  (step @p724 :rule reordering :premises (@p723) :args ((or @t536 @t544)))
% 167.15/168.11  (step @p725 :rule chain_m_resolution :premises (@p724 @p606) :args (@t536 @t545 @t546))
% 167.15/168.11  (step @p726 :rule instantiate :premises (@p725) :args ((@list @t534 @t555 @t614)))
% 167.15/168.11  (step @p727 :rule cnf_or_pos :args (@t619))
% 167.15/168.11  (step @p728 :rule reordering :premises (@p727) :args ((or @t560 @t582 @t617 @t616 (not @t619))))
% 167.15/168.11  (step @p729 :rule chain_m_resolution :premises (@p728 @p726 @p639 @p645 @p719 @p718) :args (@t618 (@list false false false true false) (@list @t619 @t581 @t559 @t616 @t615)))
% 167.15/168.11  (step @p730 :rule refl :args (@t620))
% 167.15/168.11  (step @p731 :rule bool-double-not-elim :args (@t579))
% 167.15/168.11  (step @p732 :rule nary_cong :premises (@p731 @p730) :args ((or (not @t580) @t620)))
% 167.15/168.11  (assume-push @p783 @t580)
% 167.15/168.11  (step @p734 :rule skolemize :premises (@p783))
% 167.15/168.11  (step-pop @p784 :rule scope :premises (@p734))
% 167.15/168.11  (step @p735 :rule process_scope :premises (@p784) :args (@t620))
% 167.15/168.11  (step @p737 :rule implies_elim :premises (@p735))
% 167.15/168.11  (step @p738 :rule eq_resolve :premises (@p737 @p732))
% 167.15/168.11  (step @p739 :rule chain_m_resolution :premises (@p738 @p729) :args (@t579 @t593 (@list @t618)))
% 167.15/168.11  (step @p740 :rule cnf_or_pos :args (@t583))
% 167.15/168.11  (step @p741 :rule reordering :premises (@p740) :args ((or @t582 @t580 @t578 @t572 @t574 (not @t583))))
% 167.15/168.11  (step @p742 :rule chain_m_resolution :premises (@p741 @p639 @p739 @p712 @p652 @p651) :args (@t578 (@list false false true false false) (@list @t581 @t579 @t572 @t573 @t583)))
% 167.15/168.11  (step @p743 :rule refl :args (@t626))
% 167.15/168.11  (step @p744 :rule bool-double-not-elim :args (@t577))
% 167.15/168.11  (step @p745 :rule nary_cong :premises (@p744 @p743) :args ((or (not @t578) @t626)))
% 167.15/168.11  (assume-push @p785 @t578)
% 167.15/168.11  (step @p747 :rule skolemize :premises (@p785))
% 167.15/168.11  (step-pop @p786 :rule scope :premises (@p747))
% 167.15/168.11  (step @p748 :rule process_scope :premises (@p786) :args (@t626))
% 167.15/168.11  (step @p750 :rule implies_elim :premises (@p748))
% 167.15/168.11  (step @p751 :rule eq_resolve :premises (@p750 @p745))
% 167.15/168.11  (step @p752 :rule chain_m_resolution :premises (@p751 @p742) :args (@t626 @t545 (@list @t577)))
% 167.15/168.11  (step @p753 :rule bool-double-not-elim :args (@t623))
% 167.15/168.11  (step @p754 :rule refl :args (@t625))
% 167.15/168.11  (step @p755 :rule nary_cong :premises (@p754 @p753) :args ((or @t625 (not @t624))))
% 167.15/168.11  (step @p756 :rule cnf_or_neg :args (@t625 1))
% 167.15/168.11  (step @p757 :rule eq_resolve :premises (@p756 @p755))
% 167.15/168.11  (step @p758 :rule reordering :premises (@p757) :args ((or @t623 @t625)))
% 167.15/168.11  (step @p759 :rule chain_m_resolution :premises (@p758 @p752) :args (@t623 @t545 (@list @t625)))
% 167.15/168.11  (assume-push @p787 @t623)
% 167.15/168.11  (step @p761 :rule instantiate :premises (@p787) :args (@t596))
% 167.15/168.11  (step-pop @p788 :rule scope :premises (@p761))
% 167.15/168.11  (step @p762 :rule process_scope :premises (@p788) :args (@t629))
% 167.15/168.11  (step @p764 :rule implies_elim :premises (@p762))
% 167.15/168.11  (step @p765 :rule chain_m_resolution :premises (@p764 @p759) :args (@t629 @t593 (@list @t623)))
% 167.15/168.11  (step @p766 :rule cnf_or_pos :args (@t629))
% 167.15/168.11  (step @p767 :rule reordering :premises (@p766) :args ((or @t572 @t628 (not @t629))))
% 167.15/168.11  (step @p768 :rule chain_m_resolution :premises (@p767 @p712 @p765) :args (@t628 @t613 (@list @t572 @t629)))
% 167.15/168.11  (assume-push @p789 @t62)
% 167.15/168.11  (step @p770 :rule instantiate :premises (@p23) :args ((@list @t621 @t567)))
% 167.15/168.11  (step-pop @p790 :rule scope :premises (@p770))
% 167.15/168.11  (step @p771 :rule process_scope :premises (@p790) :args (@t627))
% 167.15/168.11  (step @p773 :rule implies_elim :premises (@p771))
% 167.15/168.11  (step @p774 false :rule chain_m_resolution :premises (@p773 @p768 @p23) :args (false @t613 (@list @t627 @t62)))
% 167.15/168.11  )
% 167.15/168.11  % SZS output end Proof
% 167.15/168.11  % cvc5 exiting
%------------------------------------------------------------------------------