cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX040+1 : TPTP v9.2.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 09:07:02 AM UTC 2026

% Result   : Theorem 33.88s 34.81s
% Output   : Proof 33.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX040+1 : TPTP v9.2.1. Released v9.1.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n022.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 22:54:08 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 33.88/34.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 33.88/34.81  --- Run --no-e-matching --full-saturate-quant at 6...
% 33.88/34.81  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 33.88/34.81  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 33.88/34.81  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 33.88/34.81  % SZS status Theorem
% 33.88/34.81  % SZS output start Proof
% 33.88/34.81  (
% 33.88/34.81  (declare-sort $$unsorted 0)
% 33.88/34.81  (declare-const tptp.nat_fails (-> $$unsorted Bool))
% 33.88/34.81  (declare-const tptp.s (-> $$unsorted $$unsorted))
% 33.88/34.81  (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const tptp.gr (-> $$unsorted Bool))
% 33.88/34.81  (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const |tptp.'0'| $$unsorted)
% 33.88/34.81  (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted))
% 33.88/34.81  (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const tptp.nat_terminates (-> $$unsorted Bool))
% 33.88/34.81  (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted))
% 33.88/34.81  (declare-const tptp.nat_succeeds (-> $$unsorted Bool))
% 33.88/34.81  (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool))
% 33.88/34.81  (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool))
% 33.88/34.81  (define @t1 () (@var "Xx3" $$unsorted))
% 33.88/34.81  (define @t2 () (tptp.s @t1))
% 33.88/34.81  (define @t3 () (forall (@list @t1) (not (= |tptp.'0'| @t2))))
% 33.88/34.81  (define @t4 () (@var "Xx5" $$unsorted))
% 33.88/34.81  (define @t5 () (@var "Xx4" $$unsorted))
% 33.88/34.81  (define @t6 () (= @t5 @t4))
% 33.88/34.81  (define @t7 () (tptp.s @t4))
% 33.88/34.81  (define @t8 () (tptp.s @t5))
% 33.88/34.81  (define @t9 () (= @t8 @t7))
% 33.88/34.81  (define @t10 () (@list @t5 @t4))
% 33.88/34.81  (define @t11 () (forall @t10 (=> @t9 @t6)))
% 33.88/34.81  (define @t12 () (@var "Xx6" $$unsorted))
% 33.88/34.81  (define @t13 () (@var "Xx9" $$unsorted))
% 33.88/34.81  (define @t14 () (@var "Xx8" $$unsorted))
% 33.88/34.81  (define @t15 () (@var "Xx7" $$unsorted))
% 33.88/34.81  (define @t16 () (tptp.times_fails @t15 @t14 @t13))
% 33.88/34.81  (define @t17 () (tptp.times_succeeds @t15 @t14 @t13))
% 33.88/34.81  (define @t18 () (@list @t15 @t14 @t13))
% 33.88/34.81  (define @t19 () (@var "Xx12" $$unsorted))
% 33.88/34.81  (define @t20 () (@var "Xx11" $$unsorted))
% 33.88/34.81  (define @t21 () (@var "Xx10" $$unsorted))
% 33.88/34.81  (define @t22 () (tptp.plus_fails @t21 @t20 @t19))
% 33.88/34.81  (define @t23 () (tptp.plus_succeeds @t21 @t20 @t19))
% 33.88/34.81  (define @t24 () (@list @t21 @t20 @t19))
% 33.88/34.81  (define @t25 () (@var "Xx14" $$unsorted))
% 33.88/34.81  (define @t26 () (@var "Xx13" $$unsorted))
% 33.88/34.81  (define @t27 () (|tptp.'@=<_fails'| @t26 @t25))
% 33.88/34.81  (define @t28 () (|tptp.'@=<_succeeds'| @t26 @t25))
% 33.88/34.81  (define @t29 () (@list @t26 @t25))
% 33.88/34.81  (define @t30 () (@var "Xx16" $$unsorted))
% 33.88/34.81  (define @t31 () (@var "Xx15" $$unsorted))
% 33.88/34.81  (define @t32 () (|tptp.'@<_fails'| @t31 @t30))
% 33.88/34.82  (define @t33 () (|tptp.'@<_succeeds'| @t31 @t30))
% 33.88/34.82  (define @t34 () (@list @t31 @t30))
% 33.88/34.82  (define @t35 () (forall @t34 (not (and @t33 @t32))))
% 33.88/34.82  (define @t36 () (or @t33 @t32))
% 33.88/34.82  (define @t37 () (|tptp.'@<_terminates'| @t31 @t30))
% 33.88/34.82  (define @t38 () (forall @t34 (=> @t37 @t36)))
% 33.88/34.82  (define @t39 () (@var "Xx17" $$unsorted))
% 33.88/34.82  (define @t40 () (tptp.nat_fails @t39))
% 33.88/34.82  (define @t41 () (tptp.nat_succeeds @t39))
% 33.88/34.82  (define @t42 () (@list @t39))
% 33.88/34.82  (define @t43 () (= @t1 |tptp.'0'|))
% 33.88/34.82  (define @t44 () (@var "Xx1" $$unsorted))
% 33.88/34.82  (define @t45 () (= @t44 |tptp.'0'|))
% 33.88/34.82  (define @t46 () (@var "Xx2" $$unsorted))
% 33.88/34.82  (define @t47 () (= @t44 @t8))
% 33.88/34.82  (define @t48 () (@list @t44 @t46 @t1))
% 33.88/34.82  (define @t49 () (not @t45))
% 33.88/34.82  (define @t50 () (tptp.times_fails @t5 @t46 @t4))
% 33.88/34.82  (define @t51 () (not @t47))
% 33.88/34.82  (define @t52 () (or @t49 true))
% 33.88/34.82  (define @t53 () (= @t1 @t46))
% 33.88/34.82  (define @t54 () (= @t1 @t7))
% 33.88/34.82  (define @t55 () (not @t54))
% 33.88/34.82  (define @t56 () (= @t46 @t8))
% 33.88/34.82  (define @t57 () (= @t44 @t2))
% 33.88/34.82  (define @t58 () (@list @t1 @t5))
% 33.88/34.82  (define @t59 () (@list @t44 @t46))
% 33.88/34.82  (define @t60 () (not @t56))
% 33.88/34.82  (define @t61 () (not @t57))
% 33.88/34.82  (define @t62 () (= @t46 @t7))
% 33.88/34.82  (define @t63 () (and @t45 @t62))
% 33.88/34.82  (define @t64 () (@list @t4))
% 33.88/34.82  (define @t65 () (exists @t64 @t63))
% 33.88/34.82  (define @t66 () (|tptp.'@<_succeeds'| @t1 @t5))
% 33.88/34.82  (define @t67 () (and @t57 @t56 @t66))
% 33.88/34.82  (define @t68 () (exists @t58 @t67))
% 33.88/34.82  (define @t69 () (or @t68 @t65))
% 33.88/34.82  (define @t70 () (|tptp.'@<_succeeds'| @t44 @t46))
% 33.88/34.82  (define @t71 () (= @t70 @t69))
% 33.88/34.82  (define @t72 () (forall @t59 @t71))
% 33.88/34.82  (define @t73 () (tptp.nat_succeeds @t46))
% 33.88/34.82  (define @t74 () (tptp.s @t46))
% 33.88/34.82  (define @t75 () (= @t44 @t74))
% 33.88/34.82  (define @t76 () (and @t75 @t73))
% 33.88/34.82  (define @t77 () (@list @t46))
% 33.88/34.82  (define @t78 () (exists @t77 @t76))
% 33.88/34.82  (define @t79 () (or @t78 @t45))
% 33.88/34.82  (define @t80 () (tptp.nat_succeeds @t44))
% 33.88/34.82  (define @t81 () (= @t80 @t79))
% 33.88/34.82  (define @t82 () (@list @t44))
% 33.88/34.82  (define @t83 () (forall @t82 @t81))
% 33.88/34.82  (define @t84 () (not @t75))
% 33.88/34.82  (define @t85 () (@var "Xz" $$unsorted))
% 33.88/34.82  (define @t86 () (@var "Xy" $$unsorted))
% 33.88/34.82  (define @t87 () (@var "Xx" $$unsorted))
% 33.88/34.82  (define @t88 () (tptp.plus_succeeds @t87 @t86 @t85))
% 33.88/34.82  (define @t89 () (|tptp.'@+'| @t87 @t86))
% 33.88/34.82  (define @t90 () (tptp.nat_succeeds @t87))
% 33.88/34.82  (define @t91 () (@list @t87 @t86 @t85))
% 33.88/34.82  (define @t92 () (tptp.times_succeeds @t87 @t86 @t85))
% 33.88/34.82  (define @t93 () (|tptp.'@*'| @t87 @t86))
% 33.88/34.82  (define @t94 () (tptp.nat_succeeds @t86))
% 33.88/34.82  (define @t95 () (and @t90 @t94))
% 33.88/34.82  (define @t96 () (@list @t87))
% 33.88/34.82  (define @t97 () (tptp.gr @t87))
% 33.88/34.82  (define @t98 () (tptp.plus_terminates @t87 @t86 @t85))
% 33.88/34.82  (define @t99 () (tptp.nat_succeeds @t85))
% 33.88/34.82  (define @t100 () (tptp.gr @t85))
% 33.88/34.82  (define @t101 () (tptp.gr @t86))
% 33.88/34.82  (define @t102 () (@list @t85))
% 33.88/34.82  (define @t103 () (@list @t87 @t86))
% 33.88/34.82  (define @t104 () (@var "Xz2" $$unsorted))
% 33.88/34.82  (define @t105 () (@var "Xz1" $$unsorted))
% 33.88/34.82  (define @t106 () (= @t105 @t104))
% 33.88/34.82  (define @t107 () (@list @t87 @t86 @t105 @t104))
% 33.88/34.82  (define @t108 () (@list @t86))
% 33.88/34.82  (define @t109 () (tptp.s @t87))
% 33.88/34.82  (define @t110 () (|tptp.'@+'| @t109 @t86))
% 33.88/34.82  (define @t111 () (and @t90 @t94 @t99))
% 33.88/34.82  (define @t112 () (|tptp.'@*'| |tptp.'0'| @t86))
% 33.88/34.82  (define @t113 () (=> @t94 (= @t112 |tptp.'0'|)))
% 33.88/34.82  (define @t114 () (forall @t108 @t113))
% 33.88/34.82  (define @t115 () (|tptp.'@*'| @t86 @t85))
% 33.88/34.82  (define @t116 () (|tptp.'@*'| @t86 @t87))
% 33.88/34.82  (define @t117 () (tptp.s |tptp.'0'|))
% 33.88/34.82  (define @t118 () (|tptp.'@<_terminates'| @t87 @t86))
% 33.88/34.82  (define @t119 () (forall @t103 (=> @t90 @t118)))
% 33.88/34.82  (define @t120 () (|tptp.'@<_succeeds'| @t87 @t86))
% 33.88/34.82  (define @t121 () (forall @t103 (=> @t120 @t90)))
% 33.88/34.82  (define @t122 () (tptp.s @t85))
% 33.88/34.82  (define @t123 () (= @t86 @t122))
% 33.88/34.82  (define @t124 () (exists @t102 @t123))
% 33.88/34.82  (define @t125 () (=> @t120 @t124))
% 33.88/34.82  (define @t126 () (forall @t103 @t125))
% 33.88/34.82  (define @t127 () (|tptp.'@<_succeeds'| @t87 @t85))
% 33.88/34.82  (define @t128 () (|tptp.'@<_succeeds'| @t86 @t122))
% 33.88/34.82  (define @t129 () (forall @t102 (=> @t128 @t127)))
% 33.88/34.82  (define @t130 () (=> @t120 @t129))
% 33.88/34.82  (define @t131 () (forall @t103 @t130))
% 33.88/34.82  (define @t132 () (and (= @t87 |tptp.'0'|) (= @t86 @t7)))
% 33.88/34.82  (define @t133 () (exists @t64 @t132))
% 33.88/34.82  (define @t134 () (|tptp.'@<_succeeds'| @t1 @t85))
% 33.88/34.82  (define @t135 () (|tptp.'@<_succeeds'| @t5 @t122))
% 33.88/34.82  (define @t136 () (forall @t102 (=> @t135 @t134)))
% 33.88/34.82  (define @t137 () (and (= @t87 @t2) (= @t86 @t8) @t66 @t136))
% 33.88/34.82  (define @t138 () (exists @t58 @t137))
% 33.88/34.82  (define @t139 () (or @t138 @t133))
% 33.88/34.82  (define @t140 () (=> @t139 @t129))
% 33.88/34.82  (define @t141 () (forall @t103 @t140))
% 33.88/34.82  (define @t142 () (=> @t141 @t131))
% 33.88/34.82  (define @t143 () (and @t120 @t128))
% 33.88/34.82  (define @t144 () (forall @t91 (=> @t143 @t127)))
% 33.88/34.82  (define @t145 () (not @t144))
% 33.88/34.82  (define @t146 () (= |tptp.'0'| @t112))
% 33.88/34.82  (define @t147 () (@var "BOUND_VARIABLE_8407" $$unsorted))
% 33.88/34.82  (define @t148 () (|tptp.'@<_succeeds'| @t87 @t147))
% 33.88/34.82  (define @t149 () (not (|tptp.'@<_succeeds'| @t86 (tptp.s @t147))))
% 33.88/34.82  (define @t150 () (not @t120))
% 33.88/34.82  (define @t151 () (or @t150 @t149 @t148))
% 33.88/34.82  (define @t152 () (@list @t87 @t86 @t147))
% 33.88/34.82  (define @t153 () (forall @t152 @t151))
% 33.88/34.82  (define @t154 () (@quantifiers_skolemize @t153 0))
% 33.88/34.82  (define @t155 () (@quantifiers_skolemize @t153 1))
% 33.88/34.82  (define @t156 () (not @t128))
% 33.88/34.82  (define @t157 () (or @t150 @t156 @t127))
% 33.88/34.82  (define @t158 () (@var "BOUND_VARIABLE_9106" $$unsorted))
% 33.88/34.82  (define @t159 () (@var "BOUND_VARIABLE_9104" $$unsorted))
% 33.88/34.82  (define @t160 () (@var "BOUND_VARIABLE_9105" $$unsorted))
% 33.88/34.82  (define @t161 () (@list @t159 @t160 @t158))
% 33.88/34.82  (define @t162 () (not @t153))
% 33.88/34.82  (define @t163 () (forall @t91 @t157))
% 33.88/34.82  (define @t164 () (@list true))
% 33.88/34.82  (define @t165 () (|tptp.'@<_succeeds'| @t154 @t155))
% 33.88/34.82  (define @t166 () (@quantifiers_skolemize @t153 2))
% 33.88/34.82  (define @t167 () (not @t165))
% 33.88/34.82  (define @t168 () (or @t167 (not (|tptp.'@<_succeeds'| @t155 (tptp.s @t166))) (|tptp.'@<_succeeds'| @t154 @t166)))
% 33.88/34.82  (define @t169 () (tptp.nat_succeeds @t154))
% 33.88/34.82  (define @t170 () (or @t167 @t169))
% 33.88/34.82  (define @t171 () (@list false false))
% 33.88/34.82  (define @t172 () (= |tptp.'0'| (|tptp.'@*'| |tptp.'0'| @t154)))
% 33.88/34.82  (define @t173 () (not @t169))
% 33.88/34.82  (define @t174 () (or @t173 @t172))
% 33.88/34.82  (define @t175 () (@var "BOUND_VARIABLE_8381" $$unsorted))
% 33.88/34.82  (define @t176 () (|tptp.'@<_succeeds'| @t87 @t175))
% 33.88/34.82  (define @t177 () (not (|tptp.'@<_succeeds'| @t86 (tptp.s @t175))))
% 33.88/34.82  (define @t178 () (@var "BOUND_VARIABLE_8374" $$unsorted))
% 33.88/34.82  (define @t179 () (tptp.s @t178))
% 33.88/34.82  (define @t180 () (= |tptp.'0'| @t87))
% 33.88/34.82  (define @t181 () (not @t180))
% 33.88/34.82  (define @t182 () (@var "BOUND_VARIABLE_8355" $$unsorted))
% 33.88/34.82  (define @t183 () (@var "BOUND_VARIABLE_8357" $$unsorted))
% 33.88/34.82  (define @t184 () (not (forall @t102 (or (not (|tptp.'@<_succeeds'| @t183 @t122)) (|tptp.'@<_succeeds'| @t182 @t85)))))
% 33.88/34.82  (define @t185 () (not (|tptp.'@<_succeeds'| @t182 @t183)))
% 33.88/34.82  (define @t186 () (tptp.s @t183))
% 33.88/34.82  (define @t187 () (tptp.s @t182))
% 33.88/34.82  (define @t188 () (@list @t87 @t86 @t182 @t183 @t178 @t175))
% 33.88/34.82  (define @t189 () (forall @t188 (or (and (or (not (= @t87 @t187)) (not (= @t86 @t186)) @t185 @t184) (or @t181 (not (= @t86 @t179)))) @t177 @t176)))
% 33.88/34.82  (define @t190 () (@quantifiers_skolemize @t189 2))
% 33.88/34.82  (define @t191 () (@quantifiers_skolemize @t189 0))
% 33.88/34.82  (define @t192 () (= |tptp.'0'| @t191))
% 33.88/34.82  (define @t193 () (not @t192))
% 33.88/34.82  (define @t194 () (tptp.s @t190))
% 33.88/34.82  (define @t195 () (= |tptp.'0'| @t194))
% 33.88/34.82  (define @t196 () (= @t191 @t194))
% 33.88/34.82  (define @t197 () (not @t196))
% 33.88/34.82  (define @t198 () (not @t195))
% 33.88/34.82  (define @t199 () (and @t196 @t198))
% 33.88/34.82  (define @t200 () (@quantifiers_skolemize @t189 4))
% 33.88/34.82  (define @t201 () (tptp.s @t200))
% 33.88/34.82  (define @t202 () (@quantifiers_skolemize @t189 1))
% 33.88/34.82  (define @t203 () (= @t202 @t201))
% 33.88/34.82  (define @t204 () (not @t203))
% 33.88/34.82  (define @t205 () (or @t193 @t204))
% 33.88/34.82  (define @t206 () (or @t149 @t148))
% 33.88/34.82  (define @t207 () (or @t150 @t206))
% 33.88/34.82  (define @t208 () (forall @t152 @t207))
% 33.88/34.82  (define @t209 () (@list @t147))
% 33.88/34.82  (define @t210 () (forall @t209 @t207))
% 33.88/34.82  (define @t211 () (forall @t209 @t206))
% 33.88/34.82  (define @t212 () (@list @t85))
% 33.88/34.82  (define @t213 () (or @t150 @t211))
% 33.88/34.82  (define @t214 () (forall @t102 (or @t156 @t127)))
% 33.88/34.82  (define @t215 () (not (= @t179 @t86)))
% 33.88/34.82  (define @t216 () (or @t181 @t215))
% 33.88/34.82  (define @t217 () (not (= @t186 @t86)))
% 33.88/34.82  (define @t218 () (not (= @t187 @t87)))
% 33.88/34.82  (define @t219 () (or @t218 @t217 @t185 @t184))
% 33.88/34.82  (define @t220 () (and @t219 @t216))
% 33.88/34.82  (define @t221 () (or @t220 @t177 @t176))
% 33.88/34.82  (define @t222 () (or @t177 @t176))
% 33.88/34.82  (define @t223 () (or @t220 @t222))
% 33.88/34.82  (define @t224 () (forall @t188 @t223))
% 33.88/34.82  (define @t225 () (forall (@list @t182 @t183 @t178 @t175) @t223))
% 33.88/34.82  (define @t226 () (forall (@list @t175) @t222))
% 33.88/34.82  (define @t227 () (@list @t178))
% 33.88/34.82  (define @t228 () (forall @t227 @t215))
% 33.88/34.82  (define @t229 () (@list @t4))
% 33.88/34.82  (define @t230 () (or @t181 @t228))
% 33.88/34.82  (define @t231 () (forall @t227 @t216))
% 33.88/34.82  (define @t232 () (@list @t182 @t183 @t178))
% 33.88/34.82  (define @t233 () (forall @t232 @t216))
% 33.88/34.82  (define @t234 () (forall (@list @t182 @t183) @t219))
% 33.88/34.82  (define @t235 () (forall @t232 @t219))
% 33.88/34.82  (define @t236 () (and @t235 @t233))
% 33.88/34.82  (define @t237 () (forall @t232 @t220))
% 33.88/34.82  (define @t238 () (or @t237 @t226))
% 33.88/34.82  (define @t239 () (= @t7 @t86))
% 33.88/34.82  (define @t240 () (not @t239))
% 33.88/34.82  (define @t241 () (or @t181 (forall @t64 @t240)))
% 33.88/34.82  (define @t242 () (forall @t102 (or (not @t135) @t134)))
% 33.88/34.82  (define @t243 () (not @t242))
% 33.88/34.82  (define @t244 () (not @t66))
% 33.88/34.82  (define @t245 () (= @t8 @t86))
% 33.88/34.82  (define @t246 () (not @t245))
% 33.88/34.82  (define @t247 () (= @t2 @t87))
% 33.88/34.82  (define @t248 () (not @t247))
% 33.88/34.82  (define @t249 () (or @t248 @t246 @t244 @t243))
% 33.88/34.82  (define @t250 () (forall @t58 @t249))
% 33.88/34.82  (define @t251 () (not @t241))
% 33.88/34.82  (define @t252 () (not @t250))
% 33.88/34.82  (define @t253 () (or @t252 @t251))
% 33.88/34.82  (define @t254 () (and @t180 @t239))
% 33.88/34.82  (define @t255 () (forall @t64 (not @t254)))
% 33.88/34.82  (define @t256 () (not @t255))
% 33.88/34.82  (define @t257 () (and @t247 @t245 @t66 @t242))
% 33.88/34.82  (define @t258 () (forall @t58 (not @t257)))
% 33.88/34.82  (define @t259 () (not @t258))
% 33.88/34.82  (define @t260 () (not @t189))
% 33.88/34.82  (define @t261 () (@quantifiers_skolemize @t189 5))
% 33.88/34.82  (define @t262 () (|tptp.'@<_succeeds'| @t191 @t261))
% 33.88/34.82  (define @t263 () (tptp.s @t261))
% 33.88/34.82  (define @t264 () (|tptp.'@<_succeeds'| @t202 @t263))
% 33.88/34.82  (define @t265 () (not @t264))
% 33.88/34.82  (define @t266 () (@quantifiers_skolemize @t189 3))
% 33.88/34.82  (define @t267 () (forall @t102 (or (not (|tptp.'@<_succeeds'| @t266 @t122)) (|tptp.'@<_succeeds'| @t190 @t85))))
% 33.88/34.82  (define @t268 () (not @t267))
% 33.88/34.82  (define @t269 () (|tptp.'@<_succeeds'| @t190 @t266))
% 33.88/34.82  (define @t270 () (not @t269))
% 33.88/34.82  (define @t271 () (tptp.s @t266))
% 33.88/34.82  (define @t272 () (= @t202 @t271))
% 33.88/34.82  (define @t273 () (not @t272))
% 33.88/34.82  (define @t274 () (or @t197 @t273 @t270 @t268))
% 33.88/34.82  (define @t275 () (and @t274 @t205))
% 33.88/34.82  (define @t276 () (or @t275 @t265 @t262))
% 33.88/34.82  (define @t277 () (not @t276))
% 33.88/34.82  (define @t278 () (@list @t153))
% 33.88/34.82  (define @t279 () (forall @t58 (or (not (= @t2 @t202)) (not (= @t8 @t263)) @t244)))
% 33.88/34.82  (define @t280 () (@quantifiers_skolemize @t279 1))
% 33.88/34.82  (define @t281 () (@quantifiers_skolemize @t279 0))
% 33.88/34.82  (define @t282 () (forall @t58 (or (not (= @t2 @t281)) (not (= @t8 @t280)) @t244)))
% 33.88/34.82  (define @t283 () (@quantifiers_skolemize @t282 1))
% 33.88/34.82  (define @t284 () (@list @t283))
% 33.88/34.82  (define @t285 () (|tptp.'@<_succeeds'| @t190 @t283))
% 33.88/34.82  (define @t286 () (tptp.s @t283))
% 33.88/34.82  (define @t287 () (|tptp.'@<_succeeds'| @t266 @t286))
% 33.88/34.82  (define @t288 () (not @t287))
% 33.88/34.82  (define @t289 () (or @t288 @t285))
% 33.88/34.82  (define @t290 () (@list @t266))
% 33.88/34.82  (define @t291 () (= |tptp.'0'| @t271))
% 33.88/34.82  (define @t292 () (not @t291))
% 33.88/34.82  (define @t293 () (= |tptp.'0'| @t202))
% 33.88/34.82  (define @t294 () (not @t293))
% 33.88/34.82  (define @t295 () (and @t272 @t292))
% 33.88/34.82  (define @t296 () (and @t293 (not (forall @t64 (not (= @t7 @t263))))))
% 33.88/34.82  (define @t297 () (= @t7 @t46))
% 33.88/34.82  (define @t298 () (not @t297))
% 33.88/34.82  (define @t299 () (forall @t64 @t298))
% 33.88/34.82  (define @t300 () (not @t299))
% 33.88/34.82  (define @t301 () (= |tptp.'0'| @t44))
% 33.88/34.82  (define @t302 () (not @t301))
% 33.88/34.82  (define @t303 () (= @t8 @t46))
% 33.88/34.82  (define @t304 () (not @t303))
% 33.88/34.82  (define @t305 () (= @t2 @t44))
% 33.88/34.82  (define @t306 () (not @t305))
% 33.88/34.82  (define @t307 () (or @t306 @t304 @t244))
% 33.88/34.82  (define @t308 () (not (forall @t58 @t307)))
% 33.88/34.82  (define @t309 () (or @t302 @t299))
% 33.88/34.82  (define @t310 () (or @t308 (not @t309)))
% 33.88/34.82  (define @t311 () (= @t70 @t310))
% 33.88/34.82  (define @t312 () (and @t301 @t297))
% 33.88/34.82  (define @t313 () (forall @t64 (not @t312)))
% 33.88/34.82  (define @t314 () (not @t313))
% 33.88/34.82  (define @t315 () (and @t305 @t303 @t66))
% 33.88/34.82  (define @t316 () (forall @t58 (not @t315)))
% 33.88/34.82  (define @t317 () (not @t316))
% 33.88/34.82  (define @t318 () (forall @t59 (= @t70 (or @t308 (and @t301 @t300)))))
% 33.88/34.82  (define @t319 () (@list @t202 @t263))
% 33.88/34.82  (define @t320 () (not @t279))
% 33.88/34.82  (define @t321 () (or @t320 @t296))
% 33.88/34.82  (define @t322 () (= @t264 @t321))
% 33.88/34.82  (define @t323 () (|tptp.'@<_succeeds'| @t281 @t280))
% 33.88/34.82  (define @t324 () (not @t323))
% 33.88/34.82  (define @t325 () (tptp.s @t280))
% 33.88/34.82  (define @t326 () (= @t263 @t325))
% 33.88/34.82  (define @t327 () (not @t326))
% 33.88/34.82  (define @t328 () (tptp.s @t281))
% 33.88/34.82  (define @t329 () (= @t202 @t328))
% 33.88/34.82  (define @t330 () (not @t329))
% 33.88/34.82  (define @t331 () (or @t330 @t327 @t324))
% 33.88/34.82  (define @t332 () (not @t331))
% 33.88/34.82  (define @t333 () (not (= @t325 @t263)))
% 33.88/34.82  (define @t334 () (not (= @t328 @t202)))
% 33.88/34.82  (define @t335 () (or @t334 @t333 @t324))
% 33.88/34.82  (define @t336 () (not @t335))
% 33.88/34.82  (define @t337 () (= @t271 @t328))
% 33.88/34.82  (define @t338 () (and @t272 @t329))
% 33.88/34.82  (define @t339 () (forall @t10 (or (not @t9) @t6)))
% 33.88/34.82  (define @t340 () (@list @t266 @t281))
% 33.88/34.82  (define @t341 () (= @t266 @t281))
% 33.88/34.82  (define @t342 () (not @t337))
% 33.88/34.82  (define @t343 () (or @t342 @t341))
% 33.88/34.82  (define @t344 () (@list @t261 @t280))
% 33.88/34.82  (define @t345 () (= @t261 @t280))
% 33.88/34.82  (define @t346 () (or @t327 @t345))
% 33.88/34.82  (define @t347 () (= @t280 @t286))
% 33.88/34.82  (define @t348 () (= @t261 @t286))
% 33.88/34.82  (define @t349 () (and @t345 @t347))
% 33.88/34.82  (define @t350 () (and @t323 @t341 @t345 @t347))
% 33.88/34.82  (define @t351 () (@list @t191 @t261))
% 33.88/34.82  (define @t352 () (@list @t276))
% 33.88/34.82  (define @t353 () (forall @t64 (not (= @t7 @t261))))
% 33.88/34.82  (define @t354 () (not @t353))
% 33.88/34.82  (define @t355 () (and @t192 @t354))
% 33.88/34.82  (define @t356 () (forall @t58 (or (not (= @t2 @t191)) (not (= @t8 @t261)) @t244)))
% 33.88/34.82  (define @t357 () (not @t356))
% 33.88/34.82  (define @t358 () (or @t357 @t355))
% 33.88/34.82  (define @t359 () (= @t262 @t358))
% 33.88/34.82  (define @t360 () (not @t358))
% 33.88/34.82  (define @t361 () (@list true false))
% 33.88/34.82  (define @t362 () (@list @t358))
% 33.88/34.82  (define @t363 () (not @t285))
% 33.88/34.82  (define @t364 () (not (= @t286 @t261)))
% 33.88/34.82  (define @t365 () (not (= @t194 @t191)))
% 33.88/34.82  (define @t366 () (or @t365 @t364 @t363))
% 33.88/34.82  (define @t367 () (not @t348))
% 33.88/34.82  (define @t368 () (or @t197 @t367 @t363))
% 33.88/34.82  (define @t369 () (@list false))
% 33.88/34.82  (define @t370 () (not @t347))
% 33.88/34.82  (define @t371 () (@quantifiers_skolemize @t282 0))
% 33.88/34.82  (define @t372 () (not (|tptp.'@<_succeeds'| @t371 @t283)))
% 33.88/34.82  (define @t373 () (tptp.s @t371))
% 33.88/34.82  (define @t374 () (or (not (= @t281 @t373)) @t370 @t372))
% 33.88/34.82  (define @t375 () (not @t374))
% 33.88/34.82  (define @t376 () (not @t282))
% 33.88/34.82  (define @t377 () (not (= @t286 @t280)))
% 33.88/34.82  (define @t378 () (not (= @t373 @t281)))
% 33.88/34.82  (define @t379 () (or @t378 @t377 @t372))
% 33.88/34.82  (define @t380 () (not @t379))
% 33.88/34.82  (define @t381 () (not (forall @t102 (not @t123))))
% 33.88/34.82  (define @t382 () (not (= @t266 @t122)))
% 33.88/34.82  (define @t383 () (forall @t102 @t382))
% 33.88/34.82  (define @t384 () (not @t383))
% 33.88/34.82  (define @t385 () (or @t270 @t384))
% 33.88/34.82  (define @t386 () (forall @t103 (or @t150 @t381)))
% 33.88/34.82  (define @t387 () (forall @t102 (not (= @t122 @t266))))
% 33.88/34.82  (define @t388 () (not @t387))
% 33.88/34.82  (define @t389 () (or @t270 @t388))
% 33.88/34.82  (define @t390 () (forall @t64 (not (= @t7 @t266))))
% 33.88/34.82  (define @t391 () (@quantifiers_skolemize @t390 0))
% 33.88/34.82  (define @t392 () (tptp.s @t391))
% 33.88/34.82  (define @t393 () (= @t266 @t392))
% 33.88/34.82  (define @t394 () (not @t390))
% 33.88/34.82  (define @t395 () (= @t392 @t266))
% 33.88/34.82  (define @t396 () (not (not @t395)))
% 33.88/34.82  (define @t397 () (@list @t281 @t280))
% 33.88/34.82  (define @t398 () (= |tptp.'0'| @t281))
% 33.88/34.82  (define @t399 () (and @t398 (not (forall @t64 (not (= @t7 @t280))))))
% 33.88/34.82  (define @t400 () (or @t376 @t399))
% 33.88/34.82  (define @t401 () (= @t323 @t400))
% 33.88/34.82  (define @t402 () (not @t398))
% 33.88/34.82  (define @t403 () (= |tptp.'0'| @t392))
% 33.88/34.82  (define @t404 () (not @t341))
% 33.88/34.82  (define @t405 () (not @t393))
% 33.88/34.82  (define @t406 () (not @t403))
% 33.88/34.82  (define @t407 () (and @t393 @t341 @t406))
% 33.88/34.82  (define @t408 () (@list @t205))
% 33.88/34.82  (define @t409 () (|tptp.'@<_fails'| @t281 @t280))
% 33.88/34.82  (define @t410 () (not @t409))
% 33.88/34.82  (define @t411 () (or @t324 @t410))
% 33.88/34.82  (define @t412 () (not @t37))
% 33.88/34.82  (define @t413 () (forall @t77 (not @t76)))
% 33.88/34.82  (define @t414 () (not @t413))
% 33.88/34.82  (define @t415 () (not @t73))
% 33.88/34.82  (define @t416 () (not (= @t191 @t74)))
% 33.88/34.82  (define @t417 () (or @t416 @t415))
% 33.88/34.82  (define @t418 () (forall @t77 @t417))
% 33.88/34.82  (define @t419 () (not @t418))
% 33.88/34.82  (define @t420 () (or @t419 @t192))
% 33.88/34.82  (define @t421 () (tptp.nat_succeeds @t191))
% 33.88/34.82  (define @t422 () (= @t421 @t420))
% 33.88/34.82  (define @t423 () (forall @t82 (= @t80 (or (not (forall @t77 (or @t84 @t415))) @t301))))
% 33.88/34.82  (define @t424 () (or (not (forall @t77 (or (not (= @t74 @t191)) @t415))) @t192))
% 33.88/34.82  (define @t425 () (= @t421 @t424))
% 33.88/34.82  (define @t426 () (|tptp.'@<_terminates'| @t191 @t261))
% 33.88/34.82  (define @t427 () (not @t421))
% 33.88/34.82  (define @t428 () (or @t427 @t426))
% 33.88/34.82  (define @t429 () (|tptp.'@<_fails'| @t191 @t261))
% 33.88/34.82  (define @t430 () (not @t426))
% 33.88/34.82  (define @t431 () (or @t430 @t262 @t429))
% 33.88/34.82  (define @t432 () (not @t345))
% 33.88/34.82  (define @t433 () (not @t429))
% 33.88/34.82  (define @t434 () (= true false))
% 33.88/34.82  (define @t435 () (and @t410 @t398 @t192 @t345 @t429))
% 33.88/34.82  (define @t436 () (= |tptp.'0'| @t201))
% 33.88/34.82  (define @t437 () (not @t172))
% 33.88/34.82  (define @t438 () (not @t436))
% 33.88/34.82  (define @t439 () (and @t438 @t203 @t293 @t172))
% 33.88/34.82  (assume @p1 @t3)
% 33.88/34.82  (assume @p2 @t11)
% 33.88/34.82  (assume @p3 (tptp.gr |tptp.'0'|))
% 33.88/34.82  (assume @p4 (forall (@list @t12) (= (tptp.gr @t12) (tptp.gr (tptp.s @t12)))))
% 33.88/34.82  (assume @p5 (forall @t18 (not (and @t17 @t16))))
% 33.88/34.82  (assume @p6 (forall @t18 (=> (tptp.times_terminates @t15 @t14 @t13) (or @t17 @t16))))
% 33.88/34.82  (assume @p7 (forall @t24 (not (and @t23 @t22))))
% 33.88/34.82  (assume @p8 (forall @t24 (=> (tptp.plus_terminates @t21 @t20 @t19) (or @t23 @t22))))
% 33.88/34.82  (assume @p9 (forall @t29 (not (and @t28 @t27))))
% 33.88/34.82  (assume @p10 (forall @t29 (=> (|tptp.'@=<_terminates'| @t26 @t25) (or @t28 @t27))))
% 33.88/34.82  (assume @p11 @t35)
% 33.88/34.82  (assume @p12 @t38)
% 33.88/34.82  (assume @p13 (forall @t42 (not (and @t41 @t40))))
% 33.88/34.82  (assume @p14 (forall @t42 (=> (tptp.nat_terminates @t39) (or @t41 @t40))))
% 33.88/34.82  (assume @p15 (forall @t48 (= (tptp.times_succeeds @t44 @t46 @t1) (or (exists @t10 (and @t47 (tptp.times_succeeds @t5 @t46 @t4) (tptp.plus_succeeds @t46 @t4 @t1))) (and @t45 @t43)))))
% 33.88/34.82  (assume @p16 (forall @t48 (= (tptp.times_fails @t44 @t46 @t1) (and (forall @t10 (or @t51 @t50 (tptp.plus_fails @t46 @t4 @t1))) (or @t49 (not @t43))))))
% 33.88/34.82  (assume @p17 (forall @t48 (= (tptp.times_terminates @t44 @t46 @t1) (and (forall @t10 (and true (or @t51 (and (tptp.times_terminates @t5 @t46 @t4) (or @t50 (tptp.plus_terminates @t46 @t4 @t1)))))) true @t52))))
% 33.88/34.82  (assume @p18 (forall @t48 (= (tptp.plus_succeeds @t44 @t46 @t1) (or (exists @t10 (and @t47 @t54 (tptp.plus_succeeds @t5 @t46 @t4))) (and @t45 @t53)))))
% 33.88/34.82  (assume @p19 (forall @t48 (= (tptp.plus_fails @t44 @t46 @t1) (and (forall @t10 (or @t51 @t55 (tptp.plus_fails @t5 @t46 @t4))) (or @t49 (not @t53))))))
% 33.88/34.82  (assume @p20 (forall @t48 (= (tptp.plus_terminates @t44 @t46 @t1) (and (forall @t10 (and true (or @t51 (and true (or @t55 (tptp.plus_terminates @t5 @t46 @t4)))))) true @t52))))
% 33.88/34.82  (assume @p21 (forall @t59 (= (|tptp.'@=<_succeeds'| @t44 @t46) (or (exists @t58 (and @t57 @t56 (|tptp.'@=<_succeeds'| @t1 @t5))) @t45))))
% 33.88/34.82  (assume @p22 (forall @t59 (= (|tptp.'@=<_fails'| @t44 @t46) (and (forall @t58 (or @t61 @t60 (|tptp.'@=<_fails'| @t1 @t5))) @t49))))
% 33.88/34.82  (assume @p23 (forall @t59 (= (|tptp.'@=<_terminates'| @t44 @t46) (and (forall @t58 (and true (or @t61 (and true (or @t60 (|tptp.'@=<_terminates'| @t1 @t5)))))) true))))
% 33.88/34.82  (assume @p24 @t72)
% 33.88/34.82  (assume @p25 (forall @t59 (= (|tptp.'@<_fails'| @t44 @t46) (and (forall @t58 (or @t61 @t60 (|tptp.'@<_fails'| @t1 @t5))) (forall @t64 (or @t49 (not @t62)))))))
% 33.88/34.82  (assume @p26 (forall @t59 (= (|tptp.'@<_terminates'| @t44 @t46) (and (forall @t58 (and true (or @t61 (and true (or @t60 (|tptp.'@<_terminates'| @t1 @t5)))))) (forall @t64 (and true @t52))))))
% 33.88/34.82  (assume @p27 @t83)
% 33.88/34.82  (assume @p28 (forall @t82 (= (tptp.nat_fails @t44) (and (forall @t77 (or @t84 (tptp.nat_fails @t46))) @t49))))
% 33.88/34.82  (assume @p29 (forall @t82 (= (tptp.nat_terminates @t44) (and (forall @t77 (and true (or @t84 (tptp.nat_terminates @t46)))) true))))
% 33.88/34.82  (assume @p30 (forall @t91 (=> @t90 (= (= @t89 @t85) @t88))))
% 33.88/34.82  (assume @p31 (forall @t91 (=> @t95 (= (= @t93 @t85) @t92))))
% 33.88/34.82  (assume @p32 (forall @t96 (=> @t90 (tptp.nat_terminates @t87))))
% 33.88/34.82  (assume @p33 (forall @t96 (=> @t90 @t97)))
% 33.88/34.82  (assume @p34 (forall @t91 (=> @t90 @t98)))
% 33.88/34.82  (assume @p35 (forall @t91 (=> @t99 @t98)))
% 33.88/34.82  (assume @p36 (forall @t91 (=> @t88 @t90)))
% 33.88/34.82  (assume @p37 (forall @t91 (=> (and @t88 @t94) @t99)))
% 33.88/34.82  (assume @p38 (forall @t91 (=> (and @t88 @t99) @t94)))
% 33.88/34.82  (assume @p39 (forall @t91 (=> @t88 @t98)))
% 33.88/34.82  (assume @p40 (forall @t91 (=> @t88 @t97)))
% 33.88/34.82  (assume @p41 (forall @t91 (=> (and @t88 @t101) @t100)))
% 33.88/34.82  (assume @p42 (forall @t91 (=> (and @t88 @t100) @t101)))
% 33.88/34.82  (assume @p43 (forall @t103 (=> @t90 (exists @t102 @t88))))
% 33.88/34.82  (assume @p44 (forall @t107 (=> (and (tptp.plus_succeeds @t87 @t86 @t105) (tptp.plus_succeeds @t87 @t86 @t104)) @t106)))
% 33.88/34.82  (assume @p45 (forall @t108 (= (|tptp.'@+'| |tptp.'0'| @t86) @t86)))
% 33.88/34.82  (assume @p46 (forall @t103 (=> @t90 (= @t110 (tptp.s @t89)))))
% 33.88/34.82  (assume @p47 (forall @t103 (=> @t95 (tptp.nat_succeeds @t89))))
% 33.88/34.82  (assume @p48 (forall @t91 (=> @t111 (= (|tptp.'@+'| @t89 @t85) (|tptp.'@+'| @t87 (|tptp.'@+'| @t86 @t85))))))
% 33.88/34.82  (assume @p49 (forall @t96 (=> @t90 (= (|tptp.'@+'| @t87 |tptp.'0'|) @t87))))
% 33.88/34.82  (assume @p50 (forall @t103 (=> @t95 (= (|tptp.'@+'| @t87 (tptp.s @t86)) @t110))))
% 33.88/34.82  (assume @p51 (forall @t103 (=> @t95 (= @t89 (|tptp.'@+'| @t86 @t87)))))
% 33.88/34.82  (assume @p52 (forall @t91 (=> (and @t90 (= @t89 (|tptp.'@+'| @t87 @t85))) (= @t86 @t85))))
% 33.88/34.82  (assume @p53 (forall @t91 (=> @t92 @t90)))
% 33.88/34.82  (assume @p54 (forall @t91 (=> (and @t92 @t94) @t99)))
% 33.88/34.82  (assume @p55 (forall @t91 (=> @t92 @t97)))
% 33.88/34.82  (assume @p56 (forall @t91 (=> (and @t92 @t101) @t100)))
% 33.88/34.82  (assume @p57 (forall @t91 (=> @t95 (tptp.times_terminates @t87 @t86 @t85))))
% 33.88/34.82  (assume @p58 (forall @t103 (=> @t95 (exists @t102 @t92))))
% 33.88/34.82  (assume @p59 (forall @t107 (=> (and (tptp.times_succeeds @t87 @t86 @t105) (tptp.times_succeeds @t87 @t86 @t104)) @t106)))
% 33.88/34.82  (assume @p60 @t114)
% 33.88/34.82  (assume @p61 (forall @t103 (=> @t95 (= (|tptp.'@*'| @t109 @t86) (|tptp.'@+'| @t86 @t93)))))
% 33.88/34.82  (assume @p62 (forall @t103 (=> @t95 (tptp.nat_succeeds @t93))))
% 33.88/34.82  (assume @p63 (forall @t91 (=> @t111 (= (|tptp.'@*'| @t89 @t85) (|tptp.'@+'| (|tptp.'@*'| @t87 @t85) @t115)))))
% 33.88/34.82  (assume @p64 (forall @t91 (=> @t111 (= (|tptp.'@*'| @t93 @t85) (|tptp.'@*'| @t87 @t115)))))
% 33.88/34.82  (assume @p65 (forall @t96 (=> @t90 (= (|tptp.'@*'| @t87 |tptp.'0'|) |tptp.'0'|))))
% 33.88/34.82  (assume @p66 (forall (@list @t86 @t87) (=> (and @t94 @t90) (= (|tptp.'@+'| @t116 @t86) (|tptp.'@*'| @t86 @t109)))))
% 33.88/34.82  (assume @p67 (forall @t103 (=> @t95 (= @t93 @t116))))
% 33.88/34.82  (assume @p68 (forall @t96 (=> @t90 (= (|tptp.'@*'| @t117 @t87) @t87))))
% 33.88/34.82  (assume @p69 (forall @t96 (=> @t90 (= (|tptp.'@*'| @t87 @t117) @t87))))
% 33.88/34.82  (assume @p70 (forall @t91 (=> @t111 (= (|tptp.'@*'| @t85 @t89) (|tptp.'@+'| (|tptp.'@*'| @t85 @t87) (|tptp.'@*'| @t85 @t86))))))
% 33.88/34.82  (assume @p71 @t119)
% 33.88/34.82  (assume @p72 (forall @t103 (=> @t94 @t118)))
% 33.88/34.82  (assume @p73 @t121)
% 33.88/34.82  (assume @p74 @t126)
% 33.88/34.82  (assume @p75 @t142)
% 33.88/34.82  (assume @p76 @t145)
% 33.88/34.82  (assume @p77 true)
% 33.88/34.82  (step @p78 :rule bool-impl-elim :args (@t94 @t146))
% 33.88/34.82  (step @p79 :rule cong :premises (@p78) :args ((forall @t108 (=> @t94 @t146))))
% 33.88/34.82  (step @p80 :rule eq-symm :args (@t112 |tptp.'0'|))
% 33.88/34.82  (step @p81 :rule refl :args (@t94))
% 33.88/34.82  (step @p82 :rule cong :premises (@p81 @p80) :args (@t113))
% 33.88/34.82  (step @p83 :rule cong :premises (@p82) :args (@t114))
% 33.88/34.82  (step @p84 :rule trans :premises (@p83 @p79))
% 33.88/34.82  (step @p85 :rule eq_resolve :premises (@p60 @p84))
% 33.88/34.82  (step @p86 :rule instantiate :premises (@p85) :args ((@list @t154)))
% 33.88/34.82  (step @p87 :rule bool-impl-elim :args (@t120 @t90))
% 33.88/34.82  (step @p88 :rule cong :premises (@p87) :args (@t121))
% 33.88/34.82  (step @p89 :rule eq_resolve :premises (@p73 @p88))
% 33.88/34.82  (step @p90 :rule instantiate :premises (@p89) :args ((@list @t154 @t155)))
% 33.88/34.82  (step @p91 :rule aci_norm :args ((= (or (or @t150 @t156) @t127) @t157)))
% 33.88/34.82  (step @p92 :rule refl :args (@t127))
% 33.88/34.82  (step @p93 :rule bool-and-de-morgan :args (@t120 @t128 true))
% 33.88/34.82  (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or (not @t143) @t127)))
% 33.88/34.82  (step @p95 :rule trans :premises (@p94 @p91))
% 33.88/34.82  (step @p96 :rule bool-impl-elim :args (@t143 @t127))
% 33.88/34.82  (step @p97 :rule trans :premises (@p96 @p95))
% 33.88/34.82  (step @p98 :rule cong :premises (@p97) :args (@t144))
% 33.88/34.82  (step @p99 :rule cong :premises (@p98) :args (@t145))
% 33.88/34.82  (step @p100 :rule eq_resolve :premises (@p76 @p99))
% 33.88/34.82  (step @p101 :rule alpha_equiv :args ((forall (@list @t159 @t160 @t158) (or (not (|tptp.'@<_succeeds'| @t159 @t160)) (not (|tptp.'@<_succeeds'| @t160 (tptp.s @t158))) (|tptp.'@<_succeeds'| @t159 @t158))) @t161 (@list @t87 @t86 @t85)))
% 33.88/34.82  (step @p102 :rule alpha_equiv :args (@t153 (@list @t87 @t86 @t147) @t161))
% 33.88/34.82  (step @p103 :rule trans :premises (@p102 @p101))
% 33.88/34.82  (step @p104 :rule equiv_elim1 :premises (@p103))
% 33.88/34.82  (step @p105 :rule reordering :premises (@p104) :args ((or @t163 @t162)))
% 33.88/34.82  (step @p106 :rule chain_m_resolution :premises (@p105 @p100) :args (@t162 @t164 (@list @t163)))
% 33.88/34.82  (step @p107 :rule skolemize :premises (@p106))
% 33.88/34.82  (step @p108 :rule bool-double-not-elim :args (@t165))
% 33.88/34.82  (step @p109 :rule refl :args (@t168))
% 33.88/34.82  (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t168 (not @t167))))
% 33.88/34.82  (step @p111 :rule cnf_or_neg :args (@t168 0))
% 33.88/34.82  (step @p112 :rule eq_resolve :premises (@p111 @p110))
% 33.88/34.82  (step @p113 :rule reordering :premises (@p112) :args ((or @t165 @t168)))
% 33.88/34.82  (step @p114 :rule chain_m_resolution :premises (@p113 @p107) :args (@t165 @t164 (@list @t168)))
% 33.88/34.82  (step @p115 :rule cnf_or_pos :args (@t170))
% 33.88/34.82  (step @p116 :rule reordering :premises (@p115) :args ((or @t167 @t169 (not @t170))))
% 33.88/34.82  (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p90) :args (@t169 @t171 (@list @t165 @t170)))
% 33.88/34.82  (step @p118 :rule cnf_or_pos :args (@t174))
% 33.88/34.82  (step @p119 :rule reordering :premises (@p118) :args ((or @t173 @t172 (not @t174))))
% 33.88/34.82  (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p86) :args (@t172 @t171 (@list @t169 @t174)))
% 33.88/34.82  (step @p121 :rule instantiate :premises (@p1) :args ((@list @t190)))
% 33.88/34.82  (step @p122 :rule refl :args (@t193))
% 33.88/34.82  (step @p123 :rule bool-double-not-elim :args (@t195))
% 33.88/34.82  (step @p124 :rule refl :args (@t197))
% 33.88/34.82  (step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args ((or @t197 (not @t198) @t193)))
% 33.88/34.82  (assume-push @p829 @t196)
% 33.88/34.82  (assume-push @p830 @t198)
% 33.88/34.82  (assume-push @p831 @t198)
% 33.88/34.82  (assume-push @p832 @t196)
% 33.88/34.82  (step @p130 :rule false_intro :premises (@p121))
% 33.88/34.82  (step @p131 :rule refl :args (|tptp.'0'|))
% 33.88/34.82  (step @p132 :rule cong :premises (@p131 @p829) :args (@t192))
% 33.88/34.82  (step @p133 :rule trans :premises (@p132 @p130))
% 33.88/34.82  (step @p134 :rule false_elim :premises (@p133))
% 33.88/34.82  (step-pop @p833 :rule scope :premises (@p134))
% 33.88/34.82  (step-pop @p834 :rule scope :premises (@p833))
% 33.88/34.82  (step @p135 :rule process_scope :premises (@p834) :args (@t193))
% 33.88/34.82  (step @p138 :rule and_intro :premises (@p121 @p829))
% 33.88/34.82  (step @p139 :rule modus_ponens :premises (@p138 @p135))
% 33.88/34.82  (step-pop @p835 :rule scope :premises (@p139))
% 33.88/34.82  (step-pop @p836 :rule scope :premises (@p835))
% 33.88/34.82  (step @p140 :rule process_scope :premises (@p836) :args (@t193))
% 33.88/34.82  (step @p143 :rule implies_elim :premises (@p140))
% 33.88/34.82  (step @p144 :rule cnf_and_neg :args (@t199))
% 33.88/34.82  (step @p145 :rule resolution :premises (@p144 @p143) :args (true @t199))
% 33.88/34.82  (step @p146 :rule eq_resolve :premises (@p145 @p125))
% 33.88/34.82  (step @p147 :rule reordering :premises (@p146) :args ((or @t197 @t193 @t195)))
% 33.88/34.82  (assume-push @p837 @t3)
% 33.88/34.82  (step-pop @p838 :rule scope :premises (@p121))
% 33.88/34.82  (step @p149 :rule process_scope :premises (@p838) :args (@t198))
% 33.88/34.82  (step @p151 :rule implies_elim :premises (@p149))
% 33.88/34.82  (step @p152 :rule bool-double-not-elim :args (@t192))
% 33.88/34.82  (step @p153 :rule refl :args (@t205))
% 33.88/34.82  (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t205 (not @t193))))
% 33.88/34.82  (step @p155 :rule cnf_or_neg :args (@t205 0))
% 33.88/34.82  (step @p156 :rule eq_resolve :premises (@p155 @p154))
% 33.88/34.82  (step @p157 :rule reordering :premises (@p156) :args ((or @t192 @t205)))
% 33.88/34.82  (step @p158 :rule aci_norm :args ((= @t207 @t151)))
% 33.88/34.82  (step @p159 :rule cong :premises (@p158) :args (@t208))
% 33.88/34.82  (step @p160 :rule quant-merge-prenex :args ((= (forall @t103 @t210) @t208)))
% 33.88/34.82  (step @p161 :rule alpha_equiv :args (@t211 (@list @t147) @t212))
% 33.88/34.82  (step @p162 :rule refl :args (@t150))
% 33.88/34.82  (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t213))
% 33.88/34.82  (step @p164 :rule quant-miniscope-or :args ((= @t210 @t213)))
% 33.88/34.82  (step @p165 :rule trans :premises (@p164 @p163))
% 33.88/34.82  (step @p166 :rule symm :premises (@p165))
% 33.88/34.82  (step @p167 :rule cong :premises (@p166) :args ((forall @t103 (or @t150 @t214))))
% 33.88/34.82  (step @p168 :rule trans :premises (@p167 @p160))
% 33.88/34.82  (step @p169 :rule trans :premises (@p168 @p159))
% 33.88/34.82  (step @p170 :rule bool-impl-elim :args (@t120 @t214))
% 33.88/34.82  (step @p171 :rule cong :premises (@p170) :args ((forall @t103 (=> @t120 @t214))))
% 33.88/34.82  (step @p172 :rule trans :premises (@p171 @p169))
% 33.88/34.82  (step @p173 :rule bool-impl-elim :args (@t128 @t127))
% 33.88/34.82  (step @p174 :rule cong :premises (@p173) :args (@t129))
% 33.88/34.82  (step @p175 :rule refl :args (@t120))
% 33.88/34.82  (step @p176 :rule cong :premises (@p175 @p174) :args (@t130))
% 33.88/34.82  (step @p177 :rule cong :premises (@p176) :args (@t131))
% 33.88/34.82  (step @p178 :rule trans :premises (@p177 @p172))
% 33.88/34.82  (step @p179 :rule refl :args (@t176))
% 33.88/34.82  (step @p180 :rule refl :args (@t177))
% 33.88/34.82  (step @p181 :rule eq-symm :args (@t179 @t86))
% 33.88/34.82  (step @p182 :rule cong :premises (@p181) :args (@t215))
% 33.88/34.82  (step @p183 :rule refl :args (@t181))
% 33.88/34.82  (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t216))
% 33.88/34.82  (step @p185 :rule refl :args (@t184))
% 33.88/34.82  (step @p186 :rule refl :args (@t185))
% 33.88/34.82  (step @p187 :rule eq-symm :args (@t186 @t86))
% 33.88/34.82  (step @p188 :rule cong :premises (@p187) :args (@t217))
% 33.88/34.82  (step @p189 :rule eq-symm :args (@t187 @t87))
% 33.88/34.82  (step @p190 :rule cong :premises (@p189) :args (@t218))
% 33.88/34.82  (step @p191 :rule nary_cong :premises (@p190 @p188 @p186 @p185) :args (@t219))
% 33.88/34.82  (step @p192 :rule nary_cong :premises (@p191 @p184) :args (@t220))
% 33.88/34.82  (step @p193 :rule nary_cong :premises (@p192 @p180 @p179) :args (@t221))
% 33.88/34.82  (step @p194 :rule aci_norm :args ((= @t223 @t221)))
% 33.88/34.82  (step @p195 :rule trans :premises (@p194 @p193))
% 33.88/34.82  (step @p196 :rule cong :premises (@p195) :args (@t224))
% 33.88/34.82  (step @p197 :rule quant-merge-prenex :args ((= (forall @t103 @t225) @t224)))
% 33.88/34.82  (step @p198 :rule alpha_equiv :args (@t226 (@list @t175) @t212))
% 33.88/34.82  (step @p199 :rule alpha_equiv :args (@t228 (@list @t178) @t229))
% 33.88/34.82  (step @p200 :rule refl :args (@t181))
% 33.88/34.82  (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t230))
% 33.88/34.82  (step @p202 :rule quant-miniscope-or :args ((= @t231 @t230)))
% 33.88/34.82  (step @p203 :rule quant-unused-vars :args ((= @t233 @t231)))
% 33.88/34.82  (step @p204 :rule trans :premises (@p203 @p202))
% 33.88/34.82  (step @p205 :rule trans :premises (@p204 @p201))
% 33.88/34.82  (step @p206 :rule alpha_equiv :args (@t234 (@list @t182 @t183) (@list @t1 @t5)))
% 33.88/34.82  (step @p207 :rule quant-unused-vars :args ((= @t235 @t234)))
% 33.88/34.82  (step @p208 :rule trans :premises (@p207 @p206))
% 33.88/34.82  (step @p209 :rule nary_cong :premises (@p208 @p205) :args (@t236))
% 33.88/34.82  (step @p210 :rule quant-miniscope-and :args ((= @t237 @t236)))
% 33.88/34.82  (step @p211 :rule trans :premises (@p210 @p209))
% 33.88/34.82  (step @p212 :rule nary_cong :premises (@p211 @p198) :args (@t238))
% 33.88/34.82  (step @p213 :rule quant-miniscope-or :args ((= @t225 @t238)))
% 33.88/34.82  (step @p214 :rule trans :premises (@p213 @p212))
% 33.88/34.82  (step @p215 :rule symm :premises (@p214))
% 33.88/34.82  (step @p216 :rule cong :premises (@p215) :args ((forall @t103 (or (and @t250 @t241) @t214))))
% 33.88/34.82  (step @p217 :rule trans :premises (@p216 @p197))
% 33.88/34.82  (step @p218 :rule trans :premises (@p217 @p196))
% 33.88/34.82  (step @p219 :rule refl :args (@t214))
% 33.88/34.82  (step @p220 :rule bool-double-not-elim :args (@t241))
% 33.88/34.82  (step @p221 :rule bool-double-not-elim :args (@t250))
% 33.88/34.82  (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((and (not @t252) (not @t251))))
% 33.88/34.82  (step @p223 :rule bool-or-de-morgan :args (@t252 @t251 false))
% 33.88/34.82  (step @p224 :rule trans :premises (@p223 @p222))
% 33.88/34.82  (step @p225 :rule nary_cong :premises (@p224 @p219) :args ((or (not @t253) @t214)))
% 33.88/34.82  (step @p226 :rule bool-impl-elim :args (@t253 @t214))
% 33.88/34.82  (step @p227 :rule trans :premises (@p226 @p225))
% 33.88/34.82  (step @p228 :rule cong :premises (@p227) :args ((forall @t103 (=> @t253 @t214))))
% 33.88/34.82  (step @p229 :rule trans :premises (@p228 @p218))
% 33.88/34.82  (step @p230 :rule quant-miniscope-or :args ((= (forall @t64 (or @t181 @t240)) @t241)))
% 33.88/34.82  (step @p231 :rule bool-and-de-morgan :args (@t180 @t239 true))
% 33.88/34.82  (step @p232 :rule cong :premises (@p231) :args (@t255))
% 33.88/34.82  (step @p233 :rule trans :premises (@p232 @p230))
% 33.88/34.82  (step @p234 :rule cong :premises (@p233) :args (@t256))
% 33.88/34.82  (step @p235 :rule exists-elim :args ((= (exists @t64 @t254) @t256)))
% 33.88/34.82  (step @p236 :rule trans :premises (@p235 @p234))
% 33.88/34.82  (step @p237 :rule eq-symm :args (@t86 @t7))
% 33.88/34.82  (step @p238 :rule eq-symm :args (@t87 |tptp.'0'|))
% 33.88/34.82  (step @p239 :rule nary_cong :premises (@p238 @p237) :args (@t132))
% 33.88/34.82  (step @p240 :rule cong :premises (@p239) :args (@t133))
% 33.88/34.82  (step @p241 :rule trans :premises (@p240 @p236))
% 33.88/34.82  (step @p242 :rule aci_norm :args ((= (or @t248 (or @t246 (or @t244 @t243))) @t249)))
% 33.88/34.82  (step @p243 :rule bool-and-de-morgan :args (@t66 @t242 true))
% 33.88/34.82  (step @p244 :rule refl :args (@t246))
% 33.88/34.82  (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or @t246 (not (and @t66 @t242)))))
% 33.88/34.82  (step @p246 :rule bool-and-de-morgan :args (@t245 @t66 (and @t242)))
% 33.88/34.82  (step @p247 :rule trans :premises (@p246 @p245))
% 33.88/34.82  (step @p248 :rule refl :args (@t248))
% 33.88/34.82  (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or @t248 (not (and @t245 @t66 @t242)))))
% 33.88/34.82  (step @p250 :rule bool-and-de-morgan :args (@t247 @t245 (and @t66 @t242)))
% 33.88/34.82  (step @p251 :rule trans :premises (@p250 @p249))
% 33.88/34.82  (step @p252 :rule trans :premises (@p251 @p242))
% 33.88/34.82  (step @p253 :rule cong :premises (@p252) :args (@t258))
% 33.88/34.82  (step @p254 :rule cong :premises (@p253) :args (@t259))
% 33.88/34.82  (step @p255 :rule exists-elim :args ((= (exists @t58 @t257) @t259)))
% 33.88/34.82  (step @p256 :rule trans :premises (@p255 @p254))
% 33.88/34.82  (step @p257 :rule bool-impl-elim :args (@t135 @t134))
% 33.88/34.82  (step @p258 :rule cong :premises (@p257) :args (@t136))
% 33.88/34.82  (step @p259 :rule refl :args (@t66))
% 33.88/34.82  (step @p260 :rule eq-symm :args (@t86 @t8))
% 33.88/34.82  (step @p261 :rule eq-symm :args (@t87 @t2))
% 33.88/34.82  (step @p262 :rule nary_cong :premises (@p261 @p260 @p259 @p258) :args (@t137))
% 33.88/34.82  (step @p263 :rule cong :premises (@p262) :args (@t138))
% 33.88/34.82  (step @p264 :rule trans :premises (@p263 @p256))
% 33.88/34.82  (step @p265 :rule nary_cong :premises (@p264 @p241) :args (@t139))
% 33.88/34.82  (step @p266 :rule cong :premises (@p265 @p174) :args (@t140))
% 33.88/34.82  (step @p267 :rule cong :premises (@p266) :args (@t141))
% 33.88/34.82  (step @p268 :rule trans :premises (@p267 @p229))
% 33.88/34.82  (step @p269 :rule cong :premises (@p268 @p178) :args (@t142))
% 33.88/34.82  (step @p270 :rule eq_resolve :premises (@p75 @p269))
% 33.88/34.82  (step @p271 :rule implies_elim :premises (@p270))
% 33.88/34.82  (step @p272 :rule reordering :premises (@p271) :args ((or @t153 @t260)))
% 33.88/34.82  (step @p273 :rule refl :args (@t277))
% 33.88/34.82  (step @p274 :rule bool-double-not-elim :args (@t189))
% 33.88/34.82  (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((or (not @t260) @t277)))
% 33.88/34.82  (assume-push @p839 @t260)
% 33.88/34.82  (step @p277 :rule chain_m_resolution :premises (@p272 @p106) :args (@t260 @t164 @t278))
% 33.88/34.82  (step @p278 :rule skolemize :premises (@p277))
% 33.88/34.82  (step-pop @p840 :rule scope :premises (@p278))
% 33.88/34.82  (step @p279 :rule process_scope :premises (@p840) :args (@t277))
% 33.88/34.82  (step @p281 :rule implies_elim :premises (@p279))
% 33.88/34.82  (step @p282 :rule eq_resolve :premises (@p281 @p275))
% 33.88/34.82  (step @p283 :rule cnf_or_neg :args (@t276 0))
% 33.88/34.82  (step @p284 :rule cnf_and_neg :args (@t275))
% 33.88/34.82  (step @p285 :rule bool-double-not-elim :args (@t267))
% 33.88/34.82  (step @p286 :rule refl :args (@t274))
% 33.88/34.82  (step @p287 :rule nary_cong :premises (@p286 @p285) :args ((or @t274 (not @t268))))
% 33.88/34.82  (step @p288 :rule cnf_or_neg :args (@t274 3))
% 33.88/34.82  (step @p289 :rule eq_resolve :premises (@p288 @p287))
% 33.88/34.82  (step @p290 :rule reordering :premises (@p289) :args ((or @t267 @t274)))
% 33.88/34.82  (assume-push @p841 @t267)
% 33.88/34.82  (step @p292 :rule instantiate :premises (@p841) :args (@t284))
% 33.88/34.82  (step-pop @p842 :rule scope :premises (@p292))
% 33.88/34.82  (step @p293 :rule process_scope :premises (@p842) :args (@t289))
% 33.88/34.82  (step @p295 :rule implies_elim :premises (@p293))
% 33.88/34.82  (step @p296 :rule bool-double-not-elim :args (@t272))
% 33.88/34.82  (step @p297 :rule nary_cong :premises (@p286 @p296) :args ((or @t274 (not @t273))))
% 33.88/34.82  (step @p298 :rule cnf_or_neg :args (@t274 1))
% 33.88/34.82  (step @p299 :rule eq_resolve :premises (@p298 @p297))
% 33.88/34.82  (step @p300 :rule reordering :premises (@p299) :args ((or @t272 @t274)))
% 33.88/34.82  (assume-push @p843 @t3)
% 33.88/34.82  (step @p302 :rule instantiate :premises (@p1) :args (@t290))
% 33.88/34.82  (step-pop @p844 :rule scope :premises (@p302))
% 33.88/34.82  (step @p303 :rule process_scope :premises (@p844) :args (@t292))
% 33.88/34.82  (step @p305 :rule implies_elim :premises (@p303))
% 33.88/34.82  (step @p306 :rule refl :args (@t294))
% 33.88/34.82  (step @p307 :rule bool-double-not-elim :args (@t291))
% 33.88/34.82  (step @p308 :rule refl :args (@t273))
% 33.88/34.82  (step @p309 :rule nary_cong :premises (@p308 @p307 @p306) :args ((or @t273 (not @t292) @t294)))
% 33.88/34.82  (assume-push @p845 @t272)
% 33.88/34.82  (assume-push @p846 @t292)
% 33.88/34.82  (assume-push @p847 @t292)
% 33.88/34.82  (assume-push @p848 @t272)
% 33.88/34.82  (step @p302 :rule instantiate :premises (@p1) :args (@t290))
% 33.88/34.82  (step @p314 :rule false_intro :premises (@p302))
% 33.88/34.82  (step @p131 :rule refl :args (|tptp.'0'|))
% 33.88/34.82  (step @p315 :rule cong :premises (@p131 @p845) :args (@t293))
% 33.88/34.82  (step @p316 :rule trans :premises (@p315 @p314))
% 33.88/34.82  (step @p317 :rule false_elim :premises (@p316))
% 33.88/34.82  (step-pop @p849 :rule scope :premises (@p317))
% 33.88/34.82  (step-pop @p850 :rule scope :premises (@p849))
% 33.88/34.82  (step @p318 :rule process_scope :premises (@p850) :args (@t294))
% 33.88/34.82  (step @p302 :rule instantiate :premises (@p1) :args (@t290))
% 33.88/34.82  (step @p321 :rule and_intro :premises (@p302 @p845))
% 33.88/34.82  (step @p322 :rule modus_ponens :premises (@p321 @p318))
% 33.88/34.82  (step-pop @p851 :rule scope :premises (@p322))
% 33.88/34.82  (step-pop @p852 :rule scope :premises (@p851))
% 33.88/34.82  (step @p323 :rule process_scope :premises (@p852) :args (@t294))
% 33.88/34.82  (step @p326 :rule implies_elim :premises (@p323))
% 33.88/34.82  (step @p327 :rule cnf_and_neg :args (@t295))
% 33.88/34.82  (step @p328 :rule resolution :premises (@p327 @p326) :args (true @t295))
% 33.88/34.82  (step @p329 :rule eq_resolve :premises (@p328 @p309))
% 33.88/34.82  (step @p330 :rule cnf_and_pos :args (@t296 0))
% 33.88/34.82  (step @p331 :rule reordering :premises (@p330) :args ((or @t293 (not @t296))))
% 33.88/34.82  (step @p332 :rule refl :args (@t300))
% 33.88/34.82  (step @p333 :rule bool-double-not-elim :args (@t301))
% 33.88/34.82  (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((and (not @t302) @t300)))
% 33.88/34.82  (step @p335 :rule bool-or-de-morgan :args (@t302 @t299 false))
% 33.88/34.82  (step @p336 :rule trans :premises (@p335 @p334))
% 33.88/34.82  (step @p337 :rule refl :args (@t308))
% 33.88/34.82  (step @p338 :rule nary_cong :premises (@p337 @p336) :args (@t310))
% 33.88/34.82  (step @p339 :rule refl :args (@t70))
% 33.88/34.82  (step @p340 :rule cong :premises (@p339 @p338) :args (@t311))
% 33.88/34.82  (step @p341 :rule cong :premises (@p340) :args ((forall @t59 @t311)))
% 33.88/34.82  (step @p342 :rule quant-miniscope-or :args ((= (forall @t64 (or @t302 @t298)) @t309)))
% 33.88/34.82  (step @p343 :rule bool-and-de-morgan :args (@t301 @t297 true))
% 33.88/34.82  (step @p344 :rule cong :premises (@p343) :args (@t313))
% 33.88/34.82  (step @p345 :rule trans :premises (@p344 @p342))
% 33.88/34.82  (step @p346 :rule cong :premises (@p345) :args (@t314))
% 33.88/34.82  (step @p347 :rule exists-elim :args ((= (exists @t64 @t312) @t314)))
% 33.88/34.82  (step @p348 :rule trans :premises (@p347 @p346))
% 33.88/34.82  (step @p349 :rule eq-symm :args (@t46 @t7))
% 33.88/34.82  (step @p350 :rule eq-symm :args (@t44 |tptp.'0'|))
% 33.88/34.82  (step @p351 :rule nary_cong :premises (@p350 @p349) :args (@t63))
% 33.88/34.82  (step @p352 :rule cong :premises (@p351) :args (@t65))
% 33.88/34.82  (step @p353 :rule trans :premises (@p352 @p348))
% 33.88/34.82  (step @p354 :rule aci_norm :args ((= (or @t306 (or @t304 @t244)) @t307)))
% 33.88/34.82  (step @p355 :rule bool-and-de-morgan :args (@t303 @t66 true))
% 33.88/34.82  (step @p356 :rule refl :args (@t306))
% 33.88/34.82  (step @p357 :rule nary_cong :premises (@p356 @p355) :args ((or @t306 (not (and @t303 @t66)))))
% 33.88/34.82  (step @p358 :rule bool-and-de-morgan :args (@t305 @t303 (and @t66)))
% 33.88/34.82  (step @p359 :rule trans :premises (@p358 @p357))
% 33.88/34.82  (step @p360 :rule trans :premises (@p359 @p354))
% 33.88/34.82  (step @p361 :rule cong :premises (@p360) :args (@t316))
% 33.88/34.82  (step @p362 :rule cong :premises (@p361) :args (@t317))
% 33.88/34.82  (step @p363 :rule exists-elim :args ((= (exists @t58 @t315) @t317)))
% 33.88/34.82  (step @p364 :rule trans :premises (@p363 @p362))
% 33.88/34.82  (step @p365 :rule eq-symm :args (@t46 @t8))
% 33.88/34.82  (step @p366 :rule eq-symm :args (@t44 @t2))
% 33.88/34.82  (step @p367 :rule nary_cong :premises (@p366 @p365 @p259) :args (@t67))
% 33.88/34.82  (step @p368 :rule cong :premises (@p367) :args (@t68))
% 33.88/34.82  (step @p369 :rule trans :premises (@p368 @p364))
% 33.88/34.82  (step @p370 :rule nary_cong :premises (@p369 @p353) :args (@t69))
% 33.88/34.82  (step @p371 :rule refl :args (@t70))
% 33.88/34.82  (step @p372 :rule cong :premises (@p371 @p370) :args (@t71))
% 33.88/34.82  (step @p373 :rule cong :premises (@p372) :args (@t72))
% 33.88/34.82  (step @p374 :rule trans :premises (@p373 @p341))
% 33.88/34.82  (step @p375 :rule eq_resolve :premises (@p24 @p374))
% 33.88/34.82  (assume-push @p853 @t318)
% 33.88/34.82  (step @p377 :rule instantiate :premises (@p375) :args (@t319))
% 33.88/34.82  (step-pop @p854 :rule scope :premises (@p377))
% 33.88/34.82  (step @p378 :rule process_scope :premises (@p854) :args (@t322))
% 33.88/34.82  (step @p380 :rule implies_elim :premises (@p378))
% 33.88/34.82  (step @p381 :rule bool-double-not-elim :args (@t264))
% 33.88/34.82  (step @p382 :rule refl :args (@t276))
% 33.88/34.82  (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((or @t276 (not @t265))))
% 33.88/34.82  (step @p384 :rule cnf_or_neg :args (@t276 1))
% 33.88/34.82  (step @p385 :rule eq_resolve :premises (@p384 @p383))
% 33.88/34.82  (step @p386 :rule reordering :premises (@p385) :args ((or @t264 @t276)))
% 33.88/34.82  (step @p387 :rule cnf_equiv_pos1 :args (@t322))
% 33.88/34.82  (step @p388 :rule reordering :premises (@p387) :args ((or @t265 @t321 (not @t322))))
% 33.88/34.82  (step @p389 :rule cnf_or_pos :args (@t321))
% 33.88/34.82  (step @p390 :rule reordering :premises (@p389) :args ((or @t320 @t296 (not @t321))))
% 33.88/34.82  (step @p391 :rule refl :args (@t332))
% 33.88/34.82  (step @p392 :rule bool-double-not-elim :args (@t279))
% 33.88/34.82  (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or (not @t320) @t332)))
% 33.88/34.82  (step @p394 :rule refl :args (@t324))
% 33.88/34.82  (step @p395 :rule eq-symm :args (@t325 @t263))
% 33.88/34.82  (step @p396 :rule cong :premises (@p395) :args (@t333))
% 33.88/34.82  (step @p397 :rule eq-symm :args (@t328 @t202))
% 33.88/34.82  (step @p398 :rule cong :premises (@p397) :args (@t334))
% 33.88/34.82  (step @p399 :rule nary_cong :premises (@p398 @p396 @p394) :args (@t335))
% 33.88/34.82  (step @p400 :rule cong :premises (@p399) :args (@t336))
% 33.88/34.82  (step @p401 :rule refl :args (@t320))
% 33.88/34.82  (step @p402 :rule cong :premises (@p401 @p400) :args ((=> @t320 @t336)))
% 33.88/34.82  (assume-push @p855 @t320)
% 33.88/34.82  (step @p404 :rule skolemize :premises (@p855))
% 33.88/34.82  (step-pop @p856 :rule scope :premises (@p404))
% 33.88/34.82  (step @p405 :rule process_scope :premises (@p856) :args (@t336))
% 33.88/34.82  (step @p407 :rule eq_resolve :premises (@p405 @p402))
% 33.88/34.82  (step @p408 :rule implies_elim :premises (@p407))
% 33.88/34.82  (step @p409 :rule eq_resolve :premises (@p408 @p393))
% 33.88/34.82  (step @p410 :rule bool-double-not-elim :args (@t329))
% 33.88/34.82  (step @p411 :rule refl :args (@t331))
% 33.88/34.82  (step @p412 :rule nary_cong :premises (@p411 @p410) :args ((or @t331 (not @t330))))
% 33.88/34.82  (step @p413 :rule cnf_or_neg :args (@t331 0))
% 33.88/34.82  (step @p414 :rule eq_resolve :premises (@p413 @p412))
% 33.88/34.82  (step @p415 :rule reordering :premises (@p414) :args ((or @t329 @t331)))
% 33.88/34.82  (assume-push @p857 @t272)
% 33.88/34.82  (assume-push @p858 @t329)
% 33.88/34.82  (assume-push @p859 @t329)
% 33.88/34.82  (assume-push @p860 @t272)
% 33.88/34.82  (step @p420 :rule symm :premises (@p857))
% 33.88/34.82  (step @p421 :rule trans :premises (@p420 @p858))
% 33.88/34.82  (step-pop @p861 :rule scope :premises (@p421))
% 33.88/34.82  (step-pop @p862 :rule scope :premises (@p861))
% 33.88/34.82  (step @p422 :rule process_scope :premises (@p862) :args (@t337))
% 33.88/34.82  (step @p425 :rule and_intro :premises (@p858 @p857))
% 33.88/34.82  (step @p426 :rule modus_ponens :premises (@p425 @p422))
% 33.88/34.82  (step-pop @p863 :rule scope :premises (@p426))
% 33.88/34.82  (step-pop @p864 :rule scope :premises (@p863))
% 33.88/34.82  (step @p427 :rule process_scope :premises (@p864) :args (@t337))
% 33.88/34.82  (step @p430 :rule implies_elim :premises (@p427))
% 33.88/34.82  (step @p431 :rule cnf_and_neg :args (@t338))
% 33.88/34.82  (step @p432 :rule resolution :premises (@p431 @p430) :args (true @t338))
% 33.88/34.82  (step @p433 :rule bool-impl-elim :args (@t9 @t6))
% 33.88/34.82  (step @p434 :rule cong :premises (@p433) :args (@t11))
% 33.88/34.82  (step @p435 :rule eq_resolve :premises (@p2 @p434))
% 33.88/34.82  (assume-push @p865 @t339)
% 33.88/34.82  (step @p437 :rule instantiate :premises (@p435) :args (@t340))
% 33.88/34.82  (step-pop @p866 :rule scope :premises (@p437))
% 33.88/34.82  (step @p438 :rule process_scope :premises (@p866) :args (@t343))
% 33.88/34.82  (step @p440 :rule implies_elim :premises (@p438))
% 33.88/34.82  (step @p441 :rule cnf_or_pos :args (@t343))
% 33.88/34.82  (step @p442 :rule reordering :premises (@p441) :args ((or @t342 @t341 (not @t343))))
% 33.88/34.82  (step @p443 :rule bool-double-not-elim :args (@t326))
% 33.88/34.82  (step @p444 :rule nary_cong :premises (@p411 @p443) :args ((or @t331 (not @t327))))
% 33.88/34.82  (step @p445 :rule cnf_or_neg :args (@t331 1))
% 33.88/34.82  (step @p446 :rule eq_resolve :premises (@p445 @p444))
% 33.88/34.82  (step @p447 :rule reordering :premises (@p446) :args ((or @t326 @t331)))
% 33.88/34.82  (assume-push @p867 @t339)
% 33.88/34.82  (step @p449 :rule instantiate :premises (@p435) :args (@t344))
% 33.88/34.82  (step-pop @p868 :rule scope :premises (@p449))
% 33.88/34.82  (step @p450 :rule process_scope :premises (@p868) :args (@t346))
% 33.88/34.82  (step @p452 :rule implies_elim :premises (@p450))
% 33.88/34.82  (step @p453 :rule cnf_or_pos :args (@t346))
% 33.88/34.82  (step @p454 :rule reordering :premises (@p453) :args ((or @t327 @t345 (not @t346))))
% 33.88/34.82  (step @p455 :rule bool-double-not-elim :args (@t323))
% 33.88/34.82  (step @p456 :rule nary_cong :premises (@p411 @p455) :args ((or @t331 (not @t324))))
% 33.88/34.82  (step @p457 :rule cnf_or_neg :args (@t331 2))
% 33.88/34.82  (step @p458 :rule eq_resolve :premises (@p457 @p456))
% 33.88/34.82  (step @p459 :rule reordering :premises (@p458) :args ((or @t323 @t331)))
% 33.88/34.82  (assume-push @p869 @t345)
% 33.88/34.82  (assume-push @p870 @t347)
% 33.88/34.82  (assume-push @p871 @t347)
% 33.88/34.82  (assume-push @p872 @t345)
% 33.88/34.82  (step @p464 :rule trans :premises (@p869 @p870))
% 33.88/34.82  (step-pop @p873 :rule scope :premises (@p464))
% 33.88/34.82  (step-pop @p874 :rule scope :premises (@p873))
% 33.88/34.82  (step @p465 :rule process_scope :premises (@p874) :args (@t348))
% 33.88/34.82  (step @p468 :rule and_intro :premises (@p870 @p869))
% 33.88/34.82  (step @p469 :rule modus_ponens :premises (@p468 @p465))
% 33.88/34.82  (step-pop @p875 :rule scope :premises (@p469))
% 33.88/34.82  (step-pop @p876 :rule scope :premises (@p875))
% 33.88/34.82  (step @p470 :rule process_scope :premises (@p876) :args (@t348))
% 33.88/34.82  (step @p473 :rule implies_elim :premises (@p470))
% 33.88/34.82  (step @p474 :rule cnf_and_neg :args (@t349))
% 33.88/34.82  (step @p475 :rule resolution :premises (@p474 @p473) :args (true @t349))
% 33.88/34.82  (assume-push @p877 @t323)
% 33.88/34.82  (assume-push @p878 @t341)
% 33.88/34.82  (assume-push @p879 @t345)
% 33.88/34.82  (assume-push @p880 @t347)
% 33.88/34.82  (assume-push @p881 @t323)
% 33.88/34.82  (assume-push @p882 @t341)
% 33.88/34.82  (assume-push @p883 @t345)
% 33.88/34.82  (assume-push @p884 @t347)
% 33.88/34.82  (step @p484 :rule true_intro :premises (@p877))
% 33.88/34.82  (step @p485 :rule cong :premises (@p878 @p879) :args ((|tptp.'@<_succeeds'| @t266 @t261)))
% 33.88/34.82  (step @p486 :rule symm :premises (@p879))
% 33.88/34.82  (step @p487 :rule symm :premises (@p880))
% 33.88/34.82  (step @p488 :rule trans :premises (@p487 @p486))
% 33.88/34.82  (step @p489 :rule refl :args (@t266))
% 33.88/34.82  (step @p490 :rule cong :premises (@p489 @p488) :args (@t287))
% 33.88/34.82  (step @p491 :rule trans :premises (@p490 @p485 @p484))
% 33.88/34.82  (step @p492 :rule true_elim :premises (@p491))
% 33.88/34.82  (step-pop @p885 :rule scope :premises (@p492))
% 33.88/34.82  (step-pop @p886 :rule scope :premises (@p885))
% 33.88/34.82  (step-pop @p887 :rule scope :premises (@p886))
% 33.88/34.82  (step-pop @p888 :rule scope :premises (@p887))
% 33.88/34.82  (step @p493 :rule process_scope :premises (@p888) :args (@t287))
% 33.88/34.82  (step @p498 :rule and_intro :premises (@p877 @p878 @p879 @p880))
% 33.88/34.82  (step @p499 :rule modus_ponens :premises (@p498 @p493))
% 33.88/34.82  (step-pop @p889 :rule scope :premises (@p499))
% 33.88/34.82  (step-pop @p890 :rule scope :premises (@p889))
% 33.88/34.82  (step-pop @p891 :rule scope :premises (@p890))
% 33.88/34.82  (step-pop @p892 :rule scope :premises (@p891))
% 33.88/34.82  (step @p500 :rule process_scope :premises (@p892) :args (@t287))
% 33.88/34.82  (step @p505 :rule implies_elim :premises (@p500))
% 33.88/34.82  (step @p506 :rule cnf_and_neg :args (@t350))
% 33.88/34.82  (step @p507 :rule resolution :premises (@p506 @p505) :args (true @t350))
% 33.88/34.82  (step @p508 :rule instantiate :premises (@p375) :args (@t351))
% 33.88/34.82  (step @p509 :rule chain_m_resolution :premises (@p272 @p106) :args (@t260 @t164 @t278))
% 33.88/34.82  (step @p510 :rule chain_m_resolution :premises (@p282 @p509) :args (@t277 @t164 (@list @t189)))
% 33.88/34.82  (step @p511 :rule cnf_or_neg :args (@t276 2))
% 33.88/34.82  (step @p512 :rule chain_m_resolution :premises (@p511 @p510) :args ((not @t262) @t164 @t352))
% 33.88/34.82  (step @p513 :rule cnf_equiv_pos2 :args (@t359))
% 33.88/34.82  (step @p514 :rule reordering :premises (@p513) :args ((or @t262 @t360 (not @t359))))
% 33.88/34.82  (step @p515 :rule chain_m_resolution :premises (@p514 @p512 @p508) :args (@t360 @t361 (@list @t262 @t359)))
% 33.88/34.82  (step @p516 :rule bool-double-not-elim :args (@t356))
% 33.88/34.82  (step @p517 :rule refl :args (@t358))
% 33.88/34.82  (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or @t358 (not @t357))))
% 33.88/34.82  (step @p519 :rule cnf_or_neg :args (@t358 0))
% 33.88/34.82  (step @p520 :rule eq_resolve :premises (@p519 @p518))
% 33.88/34.82  (step @p521 :rule reordering :premises (@p520) :args ((or @t356 @t358)))
% 33.88/34.82  (step @p522 :rule chain_m_resolution :premises (@p521 @p515) :args (@t356 @t164 @t362))
% 33.88/34.82  (step @p523 :rule refl :args (@t363))
% 33.88/34.82  (step @p524 :rule eq-symm :args (@t286 @t261))
% 33.88/34.82  (step @p525 :rule cong :premises (@p524) :args (@t364))
% 33.88/34.82  (step @p526 :rule eq-symm :args (@t194 @t191))
% 33.88/34.82  (step @p527 :rule cong :premises (@p526) :args (@t365))
% 33.88/34.82  (step @p528 :rule nary_cong :premises (@p527 @p525 @p523) :args (@t366))
% 33.88/34.82  (step @p529 :rule refl :args (@t356))
% 33.88/34.82  (step @p530 :rule cong :premises (@p529 @p528) :args ((=> @t356 @t366)))
% 33.88/34.82  (assume-push @p893 @t356)
% 33.88/34.82  (step @p532 :rule instantiate :premises (@p893) :args ((@list @t190 @t283)))
% 33.88/34.82  (step-pop @p894 :rule scope :premises (@p532))
% 33.88/34.82  (step @p533 :rule process_scope :premises (@p894) :args (@t366))
% 33.88/34.82  (step @p535 :rule eq_resolve :premises (@p533 @p530))
% 33.88/34.82  (step @p536 :rule implies_elim :premises (@p535))
% 33.88/34.82  (step @p537 :rule chain_m_resolution :premises (@p536 @p522) :args (@t368 @t369 (@list @t356)))
% 33.88/34.82  (step @p538 :rule cnf_or_pos :args (@t368))
% 33.88/34.82  (step @p539 :rule reordering :premises (@p538) :args ((or @t197 @t363 @t367 (not @t368))))
% 33.88/34.82  (step @p540 :rule cnf_or_pos :args (@t289))
% 33.88/34.82  (step @p541 :rule reordering :premises (@p540) :args ((or @t288 @t285 (not @t289))))
% 33.88/34.82  (step @p542 :rule chain_m_resolution :premises (@p541 @p539 @p537 @p507 @p475 @p459 @p454 @p452 @p447 @p442 @p440 @p435 @p432 @p415 @p409 @p390 @p388 @p386 @p380 @p375 @p331 @p329 @p305 @p300 @p295 @p290 @p284 @p283 @p282 @p272 @p105 @p100 @p157 @p147 @p151 @p1) :args ((or @t197 @t370) (@list true false false false false false false false false false false false false true true false false false false true true true false false false true true true true true true false true true false) (@list @t285 @t368 @t287 @t348 @t323 @t345 @t346 @t326 @t341 @t343 @t339 @t337 @t329 @t331 @t279 @t321 @t264 @t322 @t318 @t296 @t293 @t291 @t272 @t289 @t267 @t274 @t275 @t276 @t189 @t153 @t163 @t205 @t192 @t195 @t3)))
% 33.88/34.82  (step @p543 :rule bool-double-not-elim :args (@t347))
% 33.88/34.82  (step @p544 :rule refl :args (@t374))
% 33.88/34.82  (step @p545 :rule nary_cong :premises (@p544 @p543) :args ((or @t374 (not @t370))))
% 33.88/34.82  (step @p546 :rule cnf_or_neg :args (@t374 1))
% 33.88/34.82  (step @p547 :rule eq_resolve :premises (@p546 @p545))
% 33.88/34.82  (step @p548 :rule reordering :premises (@p547) :args ((or @t347 @t374)))
% 33.88/34.82  (step @p549 :rule chain_m_resolution :premises (@p283 @p510) :args ((not @t275) @t164 @t352))
% 33.88/34.82  (step @p550 :rule refl :args (@t375))
% 33.88/34.82  (step @p551 :rule bool-double-not-elim :args (@t282))
% 33.88/34.82  (step @p552 :rule nary_cong :premises (@p551 @p550) :args ((or (not @t376) @t375)))
% 33.88/34.82  (step @p553 :rule refl :args (@t372))
% 33.88/34.82  (step @p554 :rule eq-symm :args (@t286 @t280))
% 33.88/34.82  (step @p555 :rule cong :premises (@p554) :args (@t377))
% 33.88/34.82  (step @p556 :rule eq-symm :args (@t373 @t281))
% 33.88/34.82  (step @p557 :rule cong :premises (@p556) :args (@t378))
% 33.88/34.82  (step @p558 :rule nary_cong :premises (@p557 @p555 @p553) :args (@t379))
% 33.88/34.82  (step @p559 :rule cong :premises (@p558) :args (@t380))
% 33.88/34.82  (step @p560 :rule refl :args (@t376))
% 33.88/34.82  (step @p561 :rule cong :premises (@p560 @p559) :args ((=> @t376 @t380)))
% 33.88/34.82  (assume-push @p895 @t376)
% 33.88/34.82  (step @p563 :rule skolemize :premises (@p895))
% 33.88/34.82  (step-pop @p896 :rule scope :premises (@p563))
% 33.88/34.82  (step @p564 :rule process_scope :premises (@p896) :args (@t380))
% 33.88/34.82  (step @p566 :rule eq_resolve :premises (@p564 @p561))
% 33.88/34.82  (step @p567 :rule implies_elim :premises (@p566))
% 33.88/34.82  (step @p568 :rule eq_resolve :premises (@p567 @p552))
% 33.88/34.82  (step @p569 :rule bool-double-not-elim :args (@t269))
% 33.88/34.82  (step @p570 :rule nary_cong :premises (@p286 @p569) :args ((or @t274 (not @t270))))
% 33.88/34.82  (step @p571 :rule cnf_or_neg :args (@t274 2))
% 33.88/34.82  (step @p572 :rule eq_resolve :premises (@p571 @p570))
% 33.88/34.82  (step @p573 :rule reordering :premises (@p572) :args ((or @t269 @t274)))
% 33.88/34.82  (step @p302 :rule instantiate :premises (@p1) :args (@t290))
% 33.88/34.82  (step @p574 :rule bool-impl-elim :args (@t120 @t381))
% 33.88/34.82  (step @p575 :rule cong :premises (@p574) :args ((forall @t103 (=> @t120 @t381))))
% 33.88/34.82  (step @p576 :rule exists-elim :args ((= @t124 @t381)))
% 33.88/34.82  (step @p577 :rule cong :premises (@p175 @p576) :args (@t125))
% 33.88/34.82  (step @p578 :rule cong :premises (@p577) :args (@t126))
% 33.88/34.82  (step @p579 :rule trans :premises (@p578 @p575))
% 33.88/34.82  (step @p580 :rule eq_resolve :premises (@p74 @p579))
% 33.88/34.82  (step @p581 :rule eq-symm :args (@t266 @t122))
% 33.88/34.82  (step @p582 :rule cong :premises (@p581) :args (@t382))
% 33.88/34.82  (step @p583 :rule cong :premises (@p582) :args (@t383))
% 33.88/34.82  (step @p584 :rule cong :premises (@p583) :args (@t384))
% 33.88/34.82  (step @p585 :rule refl :args (@t270))
% 33.88/34.82  (step @p586 :rule nary_cong :premises (@p585 @p584) :args (@t385))
% 33.88/34.82  (step @p587 :rule refl :args (@t386))
% 33.88/34.82  (step @p588 :rule cong :premises (@p587 @p586) :args ((=> @t386 @t385)))
% 33.88/34.82  (assume-push @p897 @t386)
% 33.88/34.82  (step @p590 :rule instantiate :premises (@p580) :args ((@list @t190 @t266)))
% 33.88/34.82  (step-pop @p898 :rule scope :premises (@p590))
% 33.88/34.82  (step @p591 :rule process_scope :premises (@p898) :args (@t385))
% 33.88/34.82  (step @p593 :rule eq_resolve :premises (@p591 @p588))
% 33.88/34.82  (step @p594 :rule implies_elim :premises (@p593))
% 33.88/34.82  (step @p595 :rule chain_m_resolution :premises (@p594 @p580) :args (@t389 @t369 (@list @t386)))
% 33.88/34.82  (step @p596 :rule cnf_or_pos :args (@t389))
% 33.88/34.82  (step @p597 :rule reordering :premises (@p596) :args ((or @t270 @t388 (not @t389))))
% 33.88/34.82  (step @p598 :rule alpha_equiv :args (@t390 @t229 @t212))
% 33.88/34.82  (step @p599 :rule equiv_elim1 :premises (@p598))
% 33.88/34.82  (step @p377 :rule instantiate :premises (@p375) :args (@t319))
% 33.88/34.82  (step @p600 :rule chain_m_resolution :premises (@p386 @p510) :args (@t264 @t164 @t352))
% 33.88/34.82  (step @p601 :rule chain_m_resolution :premises (@p388 @p600 @p377) :args (@t321 @t171 (@list @t264 @t322)))
% 33.88/34.82  (step @p602 :rule refl :args (@t393))
% 33.88/34.82  (step @p603 :rule bool-double-not-elim :args (@t390))
% 33.88/34.82  (step @p604 :rule nary_cong :premises (@p603 @p602) :args ((or (not @t394) @t393)))
% 33.88/34.82  (step @p605 :rule eq-symm :args (@t392 @t266))
% 33.88/34.82  (step @p606 :rule bool-double-not-elim :args (@t395))
% 33.88/34.82  (step @p607 :rule trans :premises (@p606 @p605))
% 33.88/34.82  (step @p608 :rule refl :args (@t394))
% 33.88/34.82  (step @p609 :rule cong :premises (@p608 @p607) :args ((=> @t394 @t396)))
% 33.88/34.82  (assume-push @p899 @t394)
% 33.88/34.82  (step @p611 :rule skolemize :premises (@p899))
% 33.88/34.82  (step-pop @p900 :rule scope :premises (@p611))
% 33.88/34.82  (step @p612 :rule process_scope :premises (@p900) :args (@t396))
% 33.88/34.82  (step @p614 :rule eq_resolve :premises (@p612 @p609))
% 33.88/34.82  (step @p615 :rule implies_elim :premises (@p614))
% 33.88/34.82  (step @p616 :rule eq_resolve :premises (@p615 @p604))
% 33.88/34.82  (step @p617 :rule instantiate :premises (@p375) :args (@t397))
% 33.88/34.82  (step @p618 :rule cnf_equiv_pos1 :args (@t401))
% 33.88/34.82  (step @p619 :rule reordering :premises (@p618) :args ((or @t324 @t400 (not @t401))))
% 33.88/34.82  (step @p437 :rule instantiate :premises (@p435) :args (@t340))
% 33.88/34.82  (step @p620 :rule cnf_or_pos :args (@t400))
% 33.88/34.82  (step @p621 :rule reordering :premises (@p620) :args ((or @t376 @t399 (not @t400))))
% 33.88/34.82  (step @p622 :rule cnf_and_pos :args (@t399 0))
% 33.88/34.82  (step @p623 :rule reordering :premises (@p622) :args ((or @t398 (not @t399))))
% 33.88/34.82  (step @p624 :rule instantiate :premises (@p1) :args ((@list @t391)))
% 33.88/34.82  (step @p625 :rule refl :args (@t402))
% 33.88/34.82  (step @p626 :rule bool-double-not-elim :args (@t403))
% 33.88/34.82  (step @p627 :rule refl :args (@t404))
% 33.88/34.82  (step @p628 :rule refl :args (@t405))
% 33.88/34.82  (step @p629 :rule nary_cong :premises (@p628 @p627 @p626 @p625) :args ((or @t405 @t404 (not @t406) @t402)))
% 33.88/34.82  (assume-push @p901 @t393)
% 33.88/34.82  (assume-push @p902 @t341)
% 33.88/34.82  (assume-push @p903 @t406)
% 33.88/34.82  (assume-push @p904 @t406)
% 33.88/34.82  (assume-push @p905 @t393)
% 33.88/34.82  (assume-push @p906 @t341)
% 33.88/34.82  (step @p636 :rule false_intro :premises (@p624))
% 33.88/34.82  (step @p637 :rule symm :premises (@p901))
% 33.88/34.82  (step @p638 :rule trans :premises (@p637 @p902))
% 33.88/34.82  (step @p639 :rule symm :premises (@p638))
% 33.88/34.82  (step @p131 :rule refl :args (|tptp.'0'|))
% 33.88/34.82  (step @p640 :rule cong :premises (@p131 @p639) :args (@t398))
% 33.88/34.82  (step @p641 :rule trans :premises (@p640 @p636))
% 33.88/34.82  (step @p642 :rule false_elim :premises (@p641))
% 33.88/34.82  (step-pop @p907 :rule scope :premises (@p642))
% 33.88/34.82  (step-pop @p908 :rule scope :premises (@p907))
% 33.88/34.82  (step-pop @p909 :rule scope :premises (@p908))
% 33.88/34.82  (step @p643 :rule process_scope :premises (@p909) :args (@t402))
% 33.88/34.82  (step @p647 :rule and_intro :premises (@p624 @p901 @p902))
% 33.88/34.82  (step @p648 :rule modus_ponens :premises (@p647 @p643))
% 33.88/34.82  (step-pop @p910 :rule scope :premises (@p648))
% 33.88/34.82  (step-pop @p911 :rule scope :premises (@p910))
% 33.88/34.82  (step-pop @p912 :rule scope :premises (@p911))
% 33.88/34.82  (step @p649 :rule process_scope :premises (@p912) :args (@t402))
% 33.88/34.82  (step @p653 :rule implies_elim :premises (@p649))
% 33.88/34.82  (step @p654 :rule cnf_and_neg :args (@t407))
% 33.88/34.82  (step @p655 :rule resolution :premises (@p654 @p653) :args (true @t407))
% 33.88/34.82  (step @p656 :rule eq_resolve :premises (@p655 @p629))
% 33.88/34.82  (step @p657 :rule reordering :premises (@p656) :args ((or @t405 @t404 @t402 @t403)))
% 33.88/34.82  (step @p658 :rule chain_m_resolution :premises (@p657 @p624 @p623 @p621 @p442 @p437 @p619 @p617 @p432 @p459 @p415 @p409 @p616 @p390 @p601 @p599 @p331 @p597 @p595 @p329 @p302 @p573 @p300 @p568 @p284 @p549 @p548 @p157 @p542 @p147 @p121) :args (@t197 (@list true false false false false false false false false false true false true false true true true false true true false false false true true false false true true true) (@list @t403 @t398 @t399 @t341 @t343 @t400 @t401 @t337 @t323 @t329 @t331 @t393 @t279 @t321 @t390 @t296 @t387 @t389 @t293 @t291 @t269 @t272 @t282 @t274 @t275 @t374 @t205 @t347 @t192 @t195)))
% 33.88/34.82  (step @p659 :rule bool-double-not-elim :args (@t196))
% 33.88/34.82  (step @p660 :rule nary_cong :premises (@p286 @p659) :args ((or @t274 (not @t197))))
% 33.88/34.82  (step @p661 :rule cnf_or_neg :args (@t274 0))
% 33.88/34.82  (step @p662 :rule eq_resolve :premises (@p661 @p660))
% 33.88/34.82  (step @p663 :rule reordering :premises (@p662) :args ((or @t196 @t274)))
% 33.88/34.82  (step @p664 :rule chain_m_resolution :premises (@p663 @p658) :args (@t274 @t164 (@list @t196)))
% 33.88/34.82  (step @p665 :rule chain_m_resolution :premises (@p284 @p549 @p664) :args ((not @t205) @t361 (@list @t275 @t274)))
% 33.88/34.82  (step @p666 :rule bool-double-not-elim :args (@t203))
% 33.88/34.82  (step @p667 :rule nary_cong :premises (@p153 @p666) :args ((or @t205 (not @t204))))
% 33.88/34.82  (step @p668 :rule cnf_or_neg :args (@t205 1))
% 33.88/34.82  (step @p669 :rule eq_resolve :premises (@p668 @p667))
% 33.88/34.82  (step @p670 :rule reordering :premises (@p669) :args ((or @t203 @t205)))
% 33.88/34.82  (step @p671 :rule chain_m_resolution :premises (@p670 @p665) :args (@t203 @t164 @t408))
% 33.88/34.82  (step @p449 :rule instantiate :premises (@p435) :args (@t344))
% 33.88/34.82  (step @p672 :rule bool-and-de-morgan :args (@t33 @t32 true))
% 33.88/34.82  (step @p673 :rule cong :premises (@p672) :args (@t35))
% 33.88/34.82  (step @p674 :rule eq_resolve :premises (@p11 @p673))
% 33.88/34.82  (step @p675 :rule instantiate :premises (@p674) :args (@t397))
% 33.88/34.82  (step @p676 :rule cnf_or_pos :args (@t411))
% 33.88/34.82  (step @p677 :rule reordering :premises (@p676) :args ((or @t324 @t410 (not @t411))))
% 33.88/34.82  (step @p678 :rule cnf_or_neg :args (@t358 1))
% 33.88/34.82  (step @p679 :rule chain_m_resolution :premises (@p678 @p515) :args ((not @t355) @t164 @t362))
% 33.88/34.82  (step @p680 :rule chain_m_resolution :premises (@p157 @p665) :args (@t192 @t164 @t408))
% 33.88/34.82  (step @p681 :rule bool-double-not-elim :args (@t353))
% 33.88/34.82  (step @p682 :rule refl :args (@t355))
% 33.88/34.82  (step @p683 :rule nary_cong :premises (@p682 @p122 @p681) :args ((or @t355 @t193 (not @t354))))
% 33.88/34.82  (step @p684 :rule cnf_and_neg :args (@t355))
% 33.88/34.82  (step @p685 :rule eq_resolve :premises (@p684 @p683))
% 33.88/34.82  (step @p686 :rule reordering :premises (@p685) :args ((or @t193 @t353 @t355)))
% 33.88/34.82  (step @p687 :rule chain_m_resolution :premises (@p686 @p680 @p679) :args (@t353 (@list false true) (@list @t192 @t355)))
% 33.88/34.82  (step @p688 :rule refl :args (@t353))
% 33.88/34.82  (step @p689 :rule cong :premises (@p688 @p525) :args ((=> @t353 @t364)))
% 33.88/34.82  (assume-push @p913 @t353)
% 33.88/34.82  (step @p691 :rule instantiate :premises (@p913) :args (@t284))
% 33.88/34.82  (step-pop @p914 :rule scope :premises (@p691))
% 33.88/34.82  (step @p692 :rule process_scope :premises (@p914) :args (@t364))
% 33.88/34.82  (step @p694 :rule eq_resolve :premises (@p692 @p689))
% 33.88/34.82  (step @p695 :rule implies_elim :premises (@p694))
% 33.88/34.82  (step @p696 :rule chain_m_resolution :premises (@p695 @p687) :args (@t367 @t369 (@list @t353)))
% 33.88/34.82  (step @p697 :rule aci_norm :args ((= (or @t412 @t36) (or @t412 @t33 @t32))))
% 33.88/34.82  (step @p698 :rule bool-impl-elim :args (@t37 @t36))
% 33.88/34.82  (step @p699 :rule trans :premises (@p698 @p697))
% 33.88/34.82  (step @p700 :rule cong :premises (@p699) :args (@t38))
% 33.88/34.82  (step @p701 :rule eq_resolve :premises (@p12 @p700))
% 33.88/34.82  (step @p702 :rule instantiate :premises (@p701) :args (@t351))
% 33.88/34.82  (step @p703 :rule bool-impl-elim :args (@t90 @t118))
% 33.88/34.82  (step @p704 :rule cong :premises (@p703) :args (@t119))
% 33.88/34.82  (step @p705 :rule eq_resolve :premises (@p71 @p704))
% 33.88/34.82  (step @p706 :rule instantiate :premises (@p705) :args (@t351))
% 33.88/34.82  (step @p707 :rule bool-and-de-morgan :args (@t75 @t73 true))
% 33.88/34.82  (step @p708 :rule cong :premises (@p707) :args (@t413))
% 33.88/34.82  (step @p709 :rule cong :premises (@p708) :args (@t414))
% 33.88/34.82  (step @p710 :rule exists-elim :args ((= @t78 @t414)))
% 33.88/34.82  (step @p711 :rule trans :premises (@p710 @p709))
% 33.88/34.82  (step @p712 :rule nary_cong :premises (@p711 @p350) :args (@t79))
% 33.88/34.82  (step @p713 :rule refl :args (@t80))
% 33.88/34.82  (step @p714 :rule cong :premises (@p713 @p712) :args (@t81))
% 33.88/34.82  (step @p715 :rule cong :premises (@p714) :args (@t83))
% 33.88/34.82  (step @p716 :rule eq_resolve :premises (@p27 @p715))
% 33.88/34.82  (step @p717 :rule refl :args (@t192))
% 33.88/34.82  (step @p718 :rule refl :args (@t415))
% 33.88/34.82  (step @p719 :rule eq-symm :args (@t191 @t74))
% 33.88/34.82  (step @p720 :rule cong :premises (@p719) :args (@t416))
% 33.88/34.82  (step @p721 :rule nary_cong :premises (@p720 @p718) :args (@t417))
% 33.88/34.82  (step @p722 :rule cong :premises (@p721) :args (@t418))
% 33.88/34.82  (step @p723 :rule cong :premises (@p722) :args (@t419))
% 33.88/34.82  (step @p724 :rule nary_cong :premises (@p723 @p717) :args (@t420))
% 33.88/34.82  (step @p725 :rule refl :args (@t421))
% 33.88/34.82  (step @p726 :rule cong :premises (@p725 @p724) :args (@t422))
% 33.88/34.82  (step @p727 :rule refl :args (@t423))
% 33.88/34.82  (step @p728 :rule cong :premises (@p727 @p726) :args ((=> @t423 @t422)))
% 33.88/34.82  (assume-push @p915 @t423)
% 33.88/34.82  (step @p730 :rule instantiate :premises (@p716) :args ((@list @t191)))
% 33.88/34.82  (step-pop @p916 :rule scope :premises (@p730))
% 33.88/34.82  (step @p731 :rule process_scope :premises (@p916) :args (@t422))
% 33.88/34.82  (step @p733 :rule eq_resolve :premises (@p731 @p728))
% 33.88/34.82  (step @p734 :rule implies_elim :premises (@p733))
% 33.88/34.82  (step @p735 :rule chain_m_resolution :premises (@p734 @p716) :args (@t425 @t369 (@list @t423)))
% 33.88/34.82  (step @p736 :rule cnf_or_neg :args (@t424 1))
% 33.88/34.82  (step @p737 :rule reordering :premises (@p736) :args ((or @t193 @t424)))
% 33.88/34.82  (step @p738 :rule chain_m_resolution :premises (@p737 @p680) :args (@t424 @t369 (@list @t192)))
% 33.88/34.82  (step @p739 :rule cnf_equiv_pos2 :args (@t425))
% 33.88/34.82  (step @p740 :rule reordering :premises (@p739) :args ((or @t421 (not @t424) (not @t425))))
% 33.88/34.82  (step @p741 :rule chain_m_resolution :premises (@p740 @p738 @p735) :args (@t421 @t171 (@list @t424 @t425)))
% 33.88/34.82  (step @p742 :rule cnf_or_pos :args (@t428))
% 33.88/34.82  (step @p743 :rule reordering :premises (@p742) :args ((or @t426 @t427 (not @t428))))
% 33.88/34.82  (step @p744 :rule chain_m_resolution :premises (@p743 @p741 @p706) :args (@t426 @t171 (@list @t421 @t428)))
% 33.88/34.82  (step @p745 :rule cnf_or_pos :args (@t431))
% 33.88/34.82  (step @p746 :rule reordering :premises (@p745) :args ((or @t262 @t430 @t429 (not @t431))))
% 33.88/34.82  (step @p747 :rule chain_m_resolution :premises (@p746 @p512 @p744 @p702) :args (@t429 (@list true false false) (@list @t262 @t426 @t431)))
% 33.88/34.82  (step @p748 :rule bool-double-not-elim :args (@t409))
% 33.88/34.82  (step @p749 :rule refl :args (@t432))
% 33.88/34.82  (step @p750 :rule refl :args (@t433))
% 33.88/34.82  (step @p751 :rule nary_cong :premises (@p122 @p750 @p749 @p748 @p625) :args ((or @t193 @t433 @t432 (not @t410) @t402)))
% 33.88/34.82  (assume-push @p917 @t410)
% 33.88/34.82  (assume-push @p918 @t398)
% 33.88/34.82  (assume-push @p919 @t192)
% 33.88/34.82  (assume-push @p920 @t345)
% 33.88/34.82  (assume-push @p921 @t429)
% 33.88/34.82  (step @p757 :rule evaluate :args (@t434))
% 33.88/34.82  (step @p758 :rule false_intro :premises (@p917))
% 33.88/34.82  (step @p759 :rule symm :premises (@p919))
% 33.88/34.82  (step @p760 :rule trans :premises (@p759 @p918))
% 33.88/34.82  (step @p761 :rule cong :premises (@p760 @p920) :args (@t429))
% 33.88/34.82  (step @p762 :rule true_intro :premises (@p921))
% 33.88/34.82  (step @p763 :rule symm :premises (@p762))
% 33.88/34.82  (step @p764 :rule trans :premises (@p763 @p761 @p758))
% 33.88/34.82  (step @p765 false :rule eq_resolve :premises (@p764 @p757))
% 33.88/34.82  (step-pop @p922 :rule scope :premises (@p765))
% 33.88/34.82  (step-pop @p923 :rule scope :premises (@p922))
% 33.88/34.82  (step-pop @p924 :rule scope :premises (@p923))
% 33.88/34.82  (step-pop @p925 :rule scope :premises (@p924))
% 33.88/34.82  (step-pop @p926 :rule scope :premises (@p925))
% 33.88/34.82  (step @p766 :rule process_scope :premises (@p926) :args (false))
% 33.88/34.82  (assume-push @p927 @t192)
% 33.88/34.82  (assume-push @p928 @t429)
% 33.88/34.82  (assume-push @p929 @t345)
% 33.88/34.82  (assume-push @p930 @t410)
% 33.88/34.82  (assume-push @p931 @t398)
% 33.88/34.82  (step @p777 :rule and_intro :premises (@p930 @p931 @p927 @p929 @p928))
% 33.88/34.82  (step-pop @p932 :rule scope :premises (@p777))
% 33.88/34.82  (step-pop @p933 :rule scope :premises (@p932))
% 33.88/34.82  (step-pop @p934 :rule scope :premises (@p933))
% 33.88/34.82  (step-pop @p935 :rule scope :premises (@p934))
% 33.88/34.82  (step-pop @p936 :rule scope :premises (@p935))
% 33.88/34.82  (step @p778 :rule process_scope :premises (@p936) :args (@t435))
% 33.88/34.82  (step @p784 :rule implies_elim :premises (@p778))
% 33.88/34.82  (step @p785 :rule resolution :premises (@p784 @p766) :args (true @t435))
% 33.88/34.82  (step @p786 :rule not_and :premises (@p785))
% 33.88/34.82  (step @p787 :rule eq_resolve :premises (@p786 @p751))
% 33.88/34.82  (step @p788 :rule chain_m_resolution :premises (@p787 @p747 @p680 @p623 @p621 @p568 @p548 @p475 @p696 @p619 @p617 @p677 @p675 @p454 @p449 @p459 @p447) :args (@t331 (@list false false false false false false true true false false true false false false false false) (@list @t429 @t192 @t398 @t399 @t282 @t374 @t347 @t348 @t400 @t401 @t409 @t411 @t345 @t346 @t323 @t326)))
% 33.88/34.82  (step @p789 :rule chain_m_resolution :premises (@p409 @p788) :args (@t279 @t369 (@list @t331)))
% 33.88/34.82  (step @p790 :rule chain_m_resolution :premises (@p390 @p789 @p601) :args (@t296 @t171 (@list @t279 @t321)))
% 33.88/34.82  (step @p791 :rule chain_m_resolution :premises (@p331 @p790) :args (@t293 @t369 (@list @t296)))
% 33.88/34.82  (step @p792 :rule instantiate :premises (@p1) :args ((@list @t200)))
% 33.88/34.82  (step @p793 :rule bool-double-not-elim :args (@t436))
% 33.88/34.82  (step @p794 :rule refl :args (@t437))
% 33.88/34.82  (step @p795 :rule refl :args (@t204))
% 33.88/34.82  (step @p796 :rule nary_cong :premises (@p795 @p306 @p794 @p793) :args ((or @t204 @t294 @t437 (not @t438))))
% 33.88/34.82  (assume-push @p937 @t438)
% 33.88/34.82  (assume-push @p938 @t203)
% 33.88/34.82  (assume-push @p939 @t293)
% 33.88/34.82  (assume-push @p940 @t172)
% 33.88/34.82  (step @p757 :rule evaluate :args (@t434))
% 33.88/34.82  (step @p801 :rule false_intro :premises (@p792))
% 33.88/34.82  (step @p802 :rule symm :premises (@p120))
% 33.88/34.82  (step @p803 :rule trans :premises (@p802 @p939 @p938))
% 33.88/34.82  (step @p804 :rule trans :premises (@p120 @p803))
% 33.88/34.82  (step @p805 :rule true_intro :premises (@p804))
% 33.88/34.82  (step @p806 :rule symm :premises (@p805))
% 33.88/34.82  (step @p807 :rule trans :premises (@p806 @p801))
% 33.88/34.82  (step @p808 false :rule eq_resolve :premises (@p807 @p757))
% 33.88/34.82  (step-pop @p941 :rule scope :premises (@p808))
% 33.88/34.82  (step-pop @p942 :rule scope :premises (@p941))
% 33.88/34.82  (step-pop @p943 :rule scope :premises (@p942))
% 33.88/34.82  (step-pop @p944 :rule scope :premises (@p943))
% 33.88/34.82  (step @p809 :rule process_scope :premises (@p944) :args (false))
% 33.88/34.82  (assume-push @p945 @t203)
% 33.88/34.82  (assume-push @p946 @t293)
% 33.88/34.82  (assume-push @p947 @t172)
% 33.88/34.82  (assume-push @p948 @t438)
% 33.88/34.82  (step @p818 :rule and_intro :premises (@p792 @p945 @p946 @p120))
% 33.88/34.82  (step-pop @p949 :rule scope :premises (@p818))
% 33.88/34.82  (step-pop @p950 :rule scope :premises (@p949))
% 33.88/34.82  (step-pop @p951 :rule scope :premises (@p950))
% 33.88/34.82  (step-pop @p952 :rule scope :premises (@p951))
% 33.88/34.82  (step @p819 :rule process_scope :premises (@p952) :args (@t439))
% 33.88/34.82  (step @p824 :rule implies_elim :premises (@p819))
% 33.88/34.82  (step @p825 :rule resolution :premises (@p824 @p809) :args (true @t439))
% 33.88/34.82  (step @p826 :rule not_and :premises (@p825))
% 33.88/34.82  (step @p827 :rule eq_resolve :premises (@p826 @p796))
% 33.88/34.82  (step @p828 false :rule chain_m_resolution :premises (@p827 @p792 @p791 @p671 @p120) :args (false (@list true false false false) (@list @t436 @t293 @t203 @t172)))
% 33.88/34.82  )
% 33.88/34.82  % SZS output end Proof
% 33.88/34.82  % cvc5 exiting
%------------------------------------------------------------------------------