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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWV489+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 09:01:39 AM UTC 2026

% Result   : Theorem 44.12s 44.37s
% Output   : Proof 44.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV489+3 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n003.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 20:20:29 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 44.12/44.37  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 44.12/44.37  --- Run --no-e-matching --full-saturate-quant at 6...
% 44.12/44.37  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 44.12/44.37  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 44.12/44.37  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 44.12/44.37  % SZS status Theorem
% 44.12/44.37  % SZS output start Proof
% 44.12/44.37  (
% 44.12/44.37  (declare-sort $$unsorted 0)
% 44.12/44.37  (declare-const tptp.n $$unsorted)
% 44.12/44.37  (declare-const tptp.real_one $$unsorted)
% 44.12/44.37  (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted))
% 44.12/44.37  (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted))
% 44.12/44.37  (declare-const tptp.real_zero $$unsorted)
% 44.12/44.37  (declare-const tptp.int_zero $$unsorted)
% 44.12/44.37  (declare-const tptp.int_one $$unsorted)
% 44.12/44.37  (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool))
% 44.12/44.37  (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool))
% 44.12/44.37  (define @t1 () (@var "J" $$unsorted))
% 44.12/44.37  (define @t2 () (@var "I" $$unsorted))
% 44.12/44.37  (define @t3 () (= @t2 @t1))
% 44.12/44.37  (define @t4 () (tptp.int_less @t2 @t1))
% 44.12/44.37  (define @t5 () (@list @t2 @t1))
% 44.12/44.37  (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3))))
% 44.12/44.37  (define @t7 () (@var "K" $$unsorted))
% 44.12/44.37  (define @t8 () (not @t3))
% 44.12/44.37  (define @t9 () (tptp.int_less tptp.int_zero tptp.int_one))
% 44.12/44.37  (define @t10 () (tptp.plus @t2 tptp.int_zero))
% 44.12/44.37  (define @t11 () (@list @t2))
% 44.12/44.37  (define @t12 () (forall @t11 (= @t10 @t2)))
% 44.12/44.37  (define @t13 () (@var "J2" $$unsorted))
% 44.12/44.37  (define @t14 () (@var "J1" $$unsorted))
% 44.12/44.37  (define @t15 () (@var "I2" $$unsorted))
% 44.12/44.37  (define @t16 () (@var "I1" $$unsorted))
% 44.12/44.37  (define @t17 () (tptp.int_less tptp.int_zero @t7))
% 44.12/44.37  (define @t18 () (tptp.plus @t2 @t7))
% 44.12/44.37  (define @t19 () (and (= @t18 @t1) @t17))
% 44.12/44.37  (define @t20 () (@list @t7))
% 44.12/44.37  (define @t21 () (exists @t20 @t19))
% 44.12/44.37  (define @t22 () (= @t4 @t21))
% 44.12/44.37  (define @t23 () (forall @t5 @t22))
% 44.12/44.37  (define @t24 () (tptp.int_leq tptp.int_one @t2))
% 44.12/44.37  (define @t25 () (forall @t11 (= (tptp.int_less tptp.int_zero @t2) @t24)))
% 44.12/44.37  (define @t26 () (@var "C" $$unsorted))
% 44.12/44.37  (define @t27 () (tptp.plus @t7 @t26))
% 44.12/44.37  (define @t28 () (tptp.a @t7 @t27))
% 44.12/44.37  (define @t29 () (tptp.int_leq @t7 @t2))
% 44.12/44.37  (define @t30 () (tptp.int_leq tptp.int_one @t7))
% 44.12/44.37  (define @t31 () (and @t30 @t29))
% 44.12/44.37  (define @t32 () (=> @t31 (= @t28 tptp.real_zero)))
% 44.12/44.37  (define @t33 () (forall @t20 @t32))
% 44.12/44.37  (define @t34 () (= @t1 (tptp.plus @t2 @t26)))
% 44.12/44.37  (define @t35 () (tptp.int_less tptp.int_zero @t26))
% 44.12/44.37  (define @t36 () (and @t35 @t34))
% 44.12/44.37  (define @t37 () (=> @t36 @t33))
% 44.12/44.37  (define @t38 () (@list @t26))
% 44.12/44.37  (define @t39 () (forall @t38 @t37))
% 44.12/44.37  (define @t40 () (tptp.a @t7 @t7))
% 44.12/44.37  (define @t41 () (tptp.int_leq @t7 @t1))
% 44.12/44.37  (define @t42 () (and @t30 @t41))
% 44.12/44.37  (define @t43 () (=> @t42 (= @t40 tptp.real_one)))
% 44.12/44.37  (define @t44 () (forall @t20 @t43))
% 44.12/44.37  (define @t45 () (tptp.a @t27 @t7))
% 44.12/44.37  (define @t46 () (=> @t42 (= @t45 tptp.real_zero)))
% 44.12/44.37  (define @t47 () (forall @t20 @t46))
% 44.12/44.37  (define @t48 () (= @t2 (tptp.plus @t1 @t26)))
% 44.12/44.37  (define @t49 () (and @t35 @t48))
% 44.12/44.37  (define @t50 () (=> @t49 @t47))
% 44.12/44.37  (define @t51 () (forall @t38 @t50))
% 44.12/44.37  (define @t52 () (and @t51 @t44 @t39))
% 44.12/44.37  (define @t53 () (tptp.int_leq @t1 tptp.n))
% 44.12/44.37  (define @t54 () (tptp.int_leq tptp.int_one @t1))
% 44.12/44.37  (define @t55 () (tptp.int_leq @t2 tptp.n))
% 44.12/44.37  (define @t56 () (and @t24 @t55 @t54 @t53))
% 44.12/44.37  (define @t57 () (=> @t56 @t52))
% 44.12/44.37  (define @t58 () (forall @t5 @t57))
% 44.12/44.37  (define @t59 () (tptp.a @t2 @t1))
% 44.12/44.37  (define @t60 () (and @t24 @t55 @t54 @t53 @t8))
% 44.12/44.37  (define @t61 () (=> @t60 (= @t59 tptp.real_zero)))
% 44.12/44.37  (define @t62 () (forall @t5 @t61))
% 44.12/44.37  (define @t63 () (not @t62))
% 44.12/44.37  (define @t64 () (= tptp.real_zero @t59))
% 44.12/44.37  (define @t65 () (not @t53))
% 44.12/44.37  (define @t66 () (not @t54))
% 44.12/44.37  (define @t67 () (not @t55))
% 44.12/44.37  (define @t68 () (not @t24))
% 44.12/44.37  (define @t69 () (or @t68 @t67 @t66 @t65 @t3 @t64))
% 44.12/44.37  (define @t70 () (not @t8))
% 44.12/44.37  (define @t71 () (or @t68 @t67 @t66 @t65 @t70))
% 44.12/44.37  (define @t72 () (forall @t5 @t69))
% 44.12/44.37  (define @t73 () (@quantifiers_skolemize @t72 1))
% 44.12/44.37  (define @t74 () (tptp.int_leq tptp.int_one @t73))
% 44.12/44.37  (define @t75 () (@quantifiers_skolemize @t72 0))
% 44.12/44.37  (define @t76 () (= tptp.real_zero (tptp.a @t75 @t73)))
% 44.12/44.37  (define @t77 () (= @t75 @t73))
% 44.12/44.37  (define @t78 () (tptp.int_leq @t73 tptp.n))
% 44.12/44.37  (define @t79 () (not @t78))
% 44.12/44.37  (define @t80 () (not @t74))
% 44.12/44.37  (define @t81 () (tptp.int_leq @t75 tptp.n))
% 44.12/44.37  (define @t82 () (not @t81))
% 44.12/44.37  (define @t83 () (tptp.int_leq tptp.int_one @t75))
% 44.12/44.37  (define @t84 () (not @t83))
% 44.12/44.37  (define @t85 () (or @t84 @t82 @t80 @t79 @t77 @t76))
% 44.12/44.37  (define @t86 () (@list true))
% 44.12/44.37  (define @t87 () (@list @t85))
% 44.12/44.37  (define @t88 () (= @t1 @t18))
% 44.12/44.37  (define @t89 () (and @t88 @t17))
% 44.12/44.37  (define @t90 () (forall @t20 (not @t89)))
% 44.12/44.37  (define @t91 () (not @t90))
% 44.12/44.37  (define @t92 () (tptp.int_less tptp.int_zero @t75))
% 44.12/44.37  (define @t93 () (= @t92 @t83))
% 44.12/44.37  (define @t94 () (= @t83 @t92))
% 44.12/44.37  (define @t95 () (@list false))
% 44.12/44.37  (define @t96 () (@list @t25))
% 44.12/44.37  (define @t97 () (@list false false))
% 44.12/44.37  (define @t98 () (not @t17))
% 44.12/44.37  (define @t99 () (tptp.plus tptp.int_zero @t7))
% 44.12/44.37  (define @t100 () (forall @t20 (or (not (= @t75 @t99)) @t98)))
% 44.12/44.37  (define @t101 () (not @t100))
% 44.12/44.37  (define @t102 () (= @t92 @t101))
% 44.12/44.37  (define @t103 () (@quantifiers_skolemize @t100 0))
% 44.12/44.37  (define @t104 () (tptp.plus tptp.int_zero @t103))
% 44.12/44.37  (define @t105 () (= @t75 @t104))
% 44.12/44.37  (define @t106 () (not @t105))
% 44.12/44.37  (define @t107 () (or @t106 (not (tptp.int_less tptp.int_zero @t103))))
% 44.12/44.37  (define @t108 () (@list @t75 @t73))
% 44.12/44.37  (define @t109 () (forall @t20 (or (not (= @t73 (tptp.plus @t75 @t7))) @t98)))
% 44.12/44.37  (define @t110 () (@quantifiers_skolemize @t109 0))
% 44.12/44.37  (define @t111 () (tptp.plus @t75 @t110))
% 44.12/44.37  (define @t112 () (= @t73 @t111))
% 44.12/44.37  (define @t113 () (tptp.int_less tptp.int_zero @t110))
% 44.12/44.37  (define @t114 () (not @t113))
% 44.12/44.37  (define @t115 () (not @t112))
% 44.12/44.37  (define @t116 () (or @t115 @t114))
% 44.12/44.37  (define @t117 () (tptp.int_leq @t75 @t75))
% 44.12/44.37  (define @t118 () (tptp.int_less @t75 @t75))
% 44.12/44.37  (define @t119 () (or @t118 (= @t75 @t75)))
% 44.12/44.37  (define @t120 () (= @t117 @t119))
% 44.12/44.37  (define @t121 () (@list @t6))
% 44.12/44.37  (define @t122 () (@var "BOUND_VARIABLE_7670" $$unsorted))
% 44.12/44.37  (define @t123 () (@var "BOUND_VARIABLE_7672" $$unsorted))
% 44.12/44.37  (define @t124 () (or (not (tptp.int_less tptp.int_zero @t122)) (not (= @t1 (tptp.plus @t2 @t122))) (not (tptp.int_leq tptp.int_one @t123)) (not (tptp.int_leq @t123 @t2)) (= tptp.real_zero (tptp.a @t123 (tptp.plus @t123 @t122)))))
% 44.12/44.37  (define @t125 () (@var "BOUND_VARIABLE_7661" $$unsorted))
% 44.12/44.37  (define @t126 () (or (not (tptp.int_leq tptp.int_one @t125)) (not (tptp.int_leq @t125 @t1)) (= tptp.real_one (tptp.a @t125 @t125))))
% 44.12/44.37  (define @t127 () (@var "BOUND_VARIABLE_7646" $$unsorted))
% 44.12/44.37  (define @t128 () (@var "BOUND_VARIABLE_7644" $$unsorted))
% 44.12/44.37  (define @t129 () (or (not (tptp.int_less tptp.int_zero @t128)) (not (= @t2 (tptp.plus @t1 @t128))) (not (tptp.int_leq tptp.int_one @t127)) (not (tptp.int_leq @t127 @t1)) (= tptp.real_zero (tptp.a (tptp.plus @t127 @t128) @t127))))
% 44.12/44.37  (define @t130 () (and @t129 @t126 @t124))
% 44.12/44.37  (define @t131 () (or @t68 @t67 @t66 @t65 @t130))
% 44.12/44.37  (define @t132 () (@list @t128 @t127 @t125 @t122 @t123))
% 44.12/44.37  (define @t133 () (forall @t132 @t131))
% 44.12/44.37  (define @t134 () (forall (@list @t122 @t123) @t124))
% 44.12/44.37  (define @t135 () (@var "BOUND_VARIABLE_7618" $$unsorted))
% 44.12/44.37  (define @t136 () (forall @t132 @t124))
% 44.12/44.37  (define @t137 () (forall (@list @t125) @t126))
% 44.12/44.37  (define @t138 () (@list @t7))
% 44.12/44.37  (define @t139 () (forall @t132 @t126))
% 44.12/44.37  (define @t140 () (forall (@list @t128 @t127) @t129))
% 44.12/44.37  (define @t141 () (@var "BOUND_VARIABLE_7583" $$unsorted))
% 44.12/44.37  (define @t142 () (forall @t132 @t129))
% 44.12/44.37  (define @t143 () (and @t142 @t139 @t136))
% 44.12/44.37  (define @t144 () (forall @t132 @t130))
% 44.12/44.37  (define @t145 () (or @t68 @t67 @t66 @t65 @t144))
% 44.12/44.37  (define @t146 () (= tptp.real_zero (tptp.a @t135 (tptp.plus @t135 @t26))))
% 44.12/44.37  (define @t147 () (not (tptp.int_leq @t135 @t2)))
% 44.12/44.37  (define @t148 () (not (tptp.int_leq tptp.int_one @t135)))
% 44.12/44.37  (define @t149 () (not @t34))
% 44.12/44.37  (define @t150 () (not @t35))
% 44.12/44.37  (define @t151 () (or @t150 @t149 @t148 @t147 @t146))
% 44.12/44.37  (define @t152 () (@list @t26 @t135))
% 44.12/44.37  (define @t153 () (= tptp.real_one @t40))
% 44.12/44.37  (define @t154 () (not @t41))
% 44.12/44.37  (define @t155 () (not @t30))
% 44.12/44.37  (define @t156 () (or @t155 @t154 @t153))
% 44.12/44.37  (define @t157 () (= tptp.real_zero (tptp.a (tptp.plus @t141 @t26) @t141)))
% 44.12/44.37  (define @t158 () (not (tptp.int_leq @t141 @t1)))
% 44.12/44.37  (define @t159 () (not (tptp.int_leq tptp.int_one @t141)))
% 44.12/44.37  (define @t160 () (not @t48))
% 44.12/44.37  (define @t161 () (or @t150 @t160 @t159 @t158 @t157))
% 44.12/44.37  (define @t162 () (@list @t26 @t141))
% 44.12/44.37  (define @t163 () (and (forall @t162 @t161) (forall @t20 @t156) (forall @t152 @t151)))
% 44.12/44.37  (define @t164 () (or @t68 @t67 @t66 @t65 @t163))
% 44.12/44.37  (define @t165 () (or @t68 @t67 @t66 @t65))
% 44.12/44.37  (define @t166 () (or @t148 @t147 @t146))
% 44.12/44.37  (define @t167 () (or @t150 @t149 @t166))
% 44.12/44.37  (define @t168 () (forall @t152 @t167))
% 44.12/44.37  (define @t169 () (@list @t135))
% 44.12/44.37  (define @t170 () (forall @t169 @t167))
% 44.12/44.37  (define @t171 () (forall @t169 @t166))
% 44.12/44.37  (define @t172 () (or @t150 @t149 @t171))
% 44.12/44.37  (define @t173 () (= tptp.real_zero @t28))
% 44.12/44.37  (define @t174 () (not @t29))
% 44.12/44.37  (define @t175 () (or @t155 @t174 @t173))
% 44.12/44.37  (define @t176 () (forall @t20 @t175))
% 44.12/44.37  (define @t177 () (or @t150 @t149 @t176))
% 44.12/44.37  (define @t178 () (or @t155 @t154))
% 44.12/44.37  (define @t179 () (not @t42))
% 44.12/44.37  (define @t180 () (or @t159 @t158 @t157))
% 44.12/44.37  (define @t181 () (or @t150 @t160 @t180))
% 44.12/44.37  (define @t182 () (forall @t162 @t181))
% 44.12/44.37  (define @t183 () (@list @t141))
% 44.12/44.37  (define @t184 () (forall @t183 @t181))
% 44.12/44.37  (define @t185 () (forall @t183 @t180))
% 44.12/44.37  (define @t186 () (or @t150 @t160 @t185))
% 44.12/44.37  (define @t187 () (= tptp.real_zero @t45))
% 44.12/44.37  (define @t188 () (or @t155 @t154 @t187))
% 44.12/44.37  (define @t189 () (forall @t20 @t188))
% 44.12/44.37  (define @t190 () (or @t150 @t160 @t189))
% 44.12/44.37  (define @t191 () (tptp.a @t75 @t111))
% 44.12/44.37  (define @t192 () (= tptp.real_zero @t191))
% 44.12/44.37  (define @t193 () (not @t117))
% 44.12/44.37  (define @t194 () (or @t114 @t115 @t84 @t193 @t192))
% 44.12/44.37  (define @t195 () (not (tptp.int_leq tptp.int_one tptp.int_one)))
% 44.12/44.37  (define @t196 () (or @t195 @t80 (= tptp.real_one (tptp.a tptp.int_one tptp.int_one))))
% 44.12/44.37  (define @t197 () (tptp.plus tptp.int_one tptp.int_one))
% 44.12/44.37  (define @t198 () (not @t9))
% 44.12/44.37  (define @t199 () (and (or @t198 (not (= @t75 (tptp.plus @t73 tptp.int_one))) @t195 @t80 (= tptp.real_zero (tptp.a @t197 tptp.int_one))) @t196 @t194))
% 44.12/44.37  (define @t200 () (or @t84 @t82 @t80 @t79 @t199))
% 44.12/44.37  (define @t201 () (@list false false false false false))
% 44.12/44.37  (define @t202 () (not @t76))
% 44.12/44.37  (define @t203 () (not @t192))
% 44.12/44.37  (define @t204 () (not @t202))
% 44.12/44.37  (define @t205 () (and @t202 @t112))
% 44.12/44.37  (define @t206 () (@list true false false false false false false))
% 44.12/44.37  (define @t207 () (not @t116))
% 44.12/44.37  (define @t208 () (not @t109))
% 44.12/44.37  (define @t209 () (tptp.int_less @t75 @t73))
% 44.12/44.37  (define @t210 () (= @t209 @t208))
% 44.12/44.37  (define @t211 () (not @t209))
% 44.12/44.37  (define @t212 () (not @t77))
% 44.12/44.37  (define @t213 () (or @t209 @t77))
% 44.12/44.37  (define @t214 () (not @t213))
% 44.12/44.37  (define @t215 () (tptp.int_leq @t75 @t73))
% 44.12/44.37  (define @t216 () (= @t215 @t213))
% 44.12/44.37  (define @t217 () (not @t215))
% 44.12/44.37  (define @t218 () (@list true false))
% 44.12/44.37  (define @t219 () (@list tptp.int_one @t75))
% 44.12/44.37  (define @t220 () (= tptp.int_one @t75))
% 44.12/44.37  (define @t221 () (tptp.int_less tptp.int_one @t75))
% 44.12/44.37  (define @t222 () (or @t221 @t220))
% 44.12/44.37  (define @t223 () (= @t83 @t222))
% 44.12/44.37  (define @t224 () (tptp.plus tptp.int_one @t7))
% 44.12/44.37  (define @t225 () (forall @t20 (or (not (= @t75 @t224)) @t98)))
% 44.12/44.37  (define @t226 () (not @t225))
% 44.12/44.37  (define @t227 () (= @t221 @t226))
% 44.12/44.37  (define @t228 () (not @t221))
% 44.12/44.37  (define @t229 () (@quantifiers_skolemize @t225 0))
% 44.12/44.37  (define @t230 () (tptp.plus tptp.int_one @t229))
% 44.12/44.37  (define @t231 () (= @t75 @t230))
% 44.12/44.37  (define @t232 () (not @t231))
% 44.12/44.37  (define @t233 () (or @t232 (not (tptp.int_less tptp.int_zero @t229))))
% 44.12/44.37  (define @t234 () (not @t233))
% 44.12/44.37  (define @t235 () (forall @t20 (or (not (= @t73 @t224)) @t98)))
% 44.12/44.37  (define @t236 () (@quantifiers_skolemize @t235 0))
% 44.12/44.37  (define @t237 () (tptp.plus tptp.int_one @t236))
% 44.12/44.37  (define @t238 () (= @t230 @t237))
% 44.12/44.37  (define @t239 () (not @t238))
% 44.12/44.37  (define @t240 () (= @t73 @t237))
% 44.12/44.37  (define @t241 () (not @t240))
% 44.12/44.37  (define @t242 () (and @t212 @t231 @t240))
% 44.12/44.37  (define @t243 () (tptp.int_less @t230 @t237))
% 44.12/44.37  (define @t244 () (not @t243))
% 44.12/44.37  (define @t245 () (and @t231 @t240 @t211))
% 44.12/44.37  (define @t246 () (forall @t20 (or (not (= @t75 (tptp.plus @t73 @t7))) @t98)))
% 44.12/44.37  (define @t247 () (@quantifiers_skolemize @t246 0))
% 44.12/44.37  (define @t248 () (tptp.plus @t73 @t247))
% 44.12/44.37  (define @t249 () (= @t75 @t248))
% 44.12/44.37  (define @t250 () (tptp.int_less tptp.int_zero @t247))
% 44.12/44.37  (define @t251 () (not @t250))
% 44.12/44.37  (define @t252 () (not @t249))
% 44.12/44.37  (define @t253 () (or @t252 @t251))
% 44.12/44.37  (define @t254 () (tptp.int_leq @t73 @t73))
% 44.12/44.37  (define @t255 () (tptp.int_less @t73 @t73))
% 44.12/44.37  (define @t256 () (or @t255 (= @t73 @t73)))
% 44.12/44.37  (define @t257 () (= @t254 @t256))
% 44.12/44.37  (define @t258 () (tptp.a @t248 @t73))
% 44.12/44.37  (define @t259 () (= tptp.real_zero @t258))
% 44.12/44.37  (define @t260 () (not @t254))
% 44.12/44.37  (define @t261 () (or @t251 @t252 @t80 @t260 @t259))
% 44.12/44.37  (define @t262 () (and @t261 @t196 (or @t198 (not (= @t73 (tptp.plus @t75 tptp.int_one))) @t195 @t84 (= tptp.real_zero (tptp.a tptp.int_one @t197)))))
% 44.12/44.37  (define @t263 () (or @t84 @t82 @t80 @t79 @t262))
% 44.12/44.37  (define @t264 () (not @t259))
% 44.12/44.37  (define @t265 () (and @t202 @t249))
% 44.12/44.37  (define @t266 () (not @t253))
% 44.12/44.37  (define @t267 () (not @t246))
% 44.12/44.37  (define @t268 () (tptp.int_less @t73 @t75))
% 44.12/44.37  (define @t269 () (= @t268 @t267))
% 44.12/44.37  (define @t270 () (not @t268))
% 44.12/44.37  (define @t271 () (tptp.int_less @t237 @t230))
% 44.12/44.37  (define @t272 () (not @t271))
% 44.12/44.37  (define @t273 () (not @t270))
% 44.12/44.37  (define @t274 () (and @t231 @t240 @t270))
% 44.12/44.37  (define @t275 () (tptp.int_leq @t237 @t230))
% 44.12/44.37  (define @t276 () (or @t243 @t275))
% 44.12/44.37  (define @t277 () (or @t271 @t238))
% 44.12/44.37  (define @t278 () (or @t271 (= @t237 @t230)))
% 44.12/44.37  (define @t279 () (= @t275 @t278))
% 44.12/44.37  (define @t280 () (= @t275 @t277))
% 44.12/44.37  (define @t281 () (or @t241 (not (tptp.int_less tptp.int_zero @t236))))
% 44.12/44.37  (define @t282 () (not @t281))
% 44.12/44.37  (define @t283 () (not @t235))
% 44.12/44.37  (define @t284 () (@list tptp.int_one @t73))
% 44.12/44.37  (define @t285 () (tptp.int_less tptp.int_one @t73))
% 44.12/44.37  (define @t286 () (= @t285 @t283))
% 44.12/44.37  (define @t287 () (= tptp.int_one @t73))
% 44.12/44.37  (define @t288 () (or @t285 @t287))
% 44.12/44.37  (define @t289 () (= @t74 @t288))
% 44.12/44.37  (define @t290 () (tptp.int_less tptp.int_zero @t73))
% 44.12/44.37  (define @t291 () (= @t290 @t74))
% 44.12/44.37  (define @t292 () (= @t74 @t290))
% 44.12/44.37  (define @t293 () (forall @t20 (or (not (= @t73 @t99)) @t98)))
% 44.12/44.37  (define @t294 () (not @t293))
% 44.12/44.37  (define @t295 () (= @t290 @t294))
% 44.12/44.37  (define @t296 () (@quantifiers_skolemize @t293 0))
% 44.12/44.37  (define @t297 () (tptp.plus tptp.int_zero @t296))
% 44.12/44.37  (define @t298 () (= @t73 @t297))
% 44.12/44.37  (define @t299 () (not @t298))
% 44.12/44.37  (define @t300 () (or @t299 (not (tptp.int_less tptp.int_zero @t296))))
% 44.12/44.37  (define @t301 () (tptp.plus @t296 tptp.int_zero))
% 44.12/44.37  (define @t302 () (= @t296 @t301))
% 44.12/44.37  (define @t303 () (not @t302))
% 44.12/44.37  (define @t304 () (= @t297 @t301))
% 44.12/44.37  (define @t305 () (not @t304))
% 44.12/44.37  (define @t306 () (not @t287))
% 44.12/44.37  (define @t307 () (= false true))
% 44.12/44.37  (define @t308 () (tptp.plus @t103 tptp.int_zero))
% 44.12/44.37  (define @t309 () (= @t103 @t308))
% 44.12/44.37  (define @t310 () (not @t309))
% 44.12/44.37  (define @t311 () (= @t104 @t308))
% 44.12/44.37  (define @t312 () (not @t311))
% 44.12/44.37  (define @t313 () (not @t220))
% 44.12/44.37  (assume @p1 @t6)
% 44.12/44.37  (assume @p2 (forall (@list @t2 @t1 @t7) (=> (and @t4 (tptp.int_less @t1 @t7)) (tptp.int_less @t2 @t7))))
% 44.12/44.37  (assume @p3 (forall @t5 (=> @t4 @t8)))
% 44.12/44.37  (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2))))
% 44.12/44.37  (assume @p5 @t9)
% 44.12/44.37  (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2))))
% 44.12/44.37  (assume @p7 @t12)
% 44.12/44.37  (assume @p8 (forall (@list @t16 @t14 @t15 @t13) (=> (and (tptp.int_less @t16 @t14) (tptp.int_leq @t15 @t13)) (tptp.int_leq (tptp.plus @t16 @t15) (tptp.plus @t14 @t13)))))
% 44.12/44.37  (assume @p9 @t23)
% 44.12/44.37  (assume @p10 @t25)
% 44.12/44.37  (assume @p11 (not (= tptp.real_zero tptp.real_one)))
% 44.12/44.37  (assume @p12 @t58)
% 44.12/44.37  (assume @p13 @t63)
% 44.12/44.37  (assume @p14 true)
% 44.12/44.37  (step @p15 :rule aci_norm :args ((= (or (or @t68 @t67 @t66 @t65 @t3) @t64) @t69)))
% 44.12/44.37  (step @p16 :rule refl :args (@t64))
% 44.12/44.37  (step @p17 :rule bool-double-not-elim :args (@t3))
% 44.12/44.37  (step @p18 :rule refl :args (@t65))
% 44.12/44.37  (step @p19 :rule refl :args (@t66))
% 44.12/44.37  (step @p20 :rule refl :args (@t67))
% 44.12/44.37  (step @p21 :rule refl :args (@t68))
% 44.12/44.37  (step @p22 :rule nary_cong :premises (@p21 @p20 @p19 @p18 @p17) :args (@t71))
% 44.12/44.37  (step @p23 :rule aci_norm :args ((= (or @t68 (or @t67 (or @t66 (or @t65 @t70)))) @t71)))
% 44.12/44.37  (step @p24 :rule trans :premises (@p23 @p22))
% 44.12/44.37  (step @p25 :rule bool-and-de-morgan :args (@t53 @t8 true))
% 44.12/44.37  (step @p26 :rule nary_cong :premises (@p19 @p25) :args ((or @t66 (not (and @t53 @t8)))))
% 44.12/44.37  (step @p27 :rule bool-and-de-morgan :args (@t54 @t53 (and @t8)))
% 44.12/44.37  (step @p28 :rule trans :premises (@p27 @p26))
% 44.12/44.37  (step @p29 :rule nary_cong :premises (@p20 @p28) :args ((or @t67 (not (and @t54 @t53 @t8)))))
% 44.12/44.37  (step @p30 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53 @t8)))
% 44.12/44.37  (step @p31 :rule trans :premises (@p30 @p29))
% 44.12/44.37  (step @p32 :rule nary_cong :premises (@p21 @p31) :args ((or @t68 (not (and @t55 @t54 @t53 @t8)))))
% 44.12/44.37  (step @p33 :rule bool-and-de-morgan :args (@t24 @t55 (and @t54 @t53 @t8)))
% 44.12/44.37  (step @p34 :rule trans :premises (@p33 @p32))
% 44.12/44.37  (step @p35 :rule trans :premises (@p34 @p24))
% 44.12/44.37  (step @p36 :rule nary_cong :premises (@p35 @p16) :args ((or (not @t60) @t64)))
% 44.12/44.37  (step @p37 :rule trans :premises (@p36 @p15))
% 44.12/44.37  (step @p38 :rule bool-impl-elim :args (@t60 @t64))
% 44.12/44.38  (step @p39 :rule trans :premises (@p38 @p37))
% 44.12/44.38  (step @p40 :rule cong :premises (@p39) :args ((forall @t5 (=> @t60 @t64))))
% 44.12/44.38  (step @p41 :rule eq-symm :args (@t59 tptp.real_zero))
% 44.12/44.38  (step @p42 :rule refl :args (@t60))
% 44.12/44.38  (step @p43 :rule cong :premises (@p42 @p41) :args (@t61))
% 44.12/44.38  (step @p44 :rule cong :premises (@p43) :args (@t62))
% 44.12/44.38  (step @p45 :rule trans :premises (@p44 @p40))
% 44.12/44.38  (step @p46 :rule cong :premises (@p45) :args (@t63))
% 44.12/44.38  (step @p47 :rule eq_resolve :premises (@p13 @p46))
% 44.12/44.38  (step @p48 :rule skolemize :premises (@p47))
% 44.12/44.38  (step @p49 :rule bool-double-not-elim :args (@t74))
% 44.12/44.38  (step @p50 :rule refl :args (@t85))
% 44.12/44.38  (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t85 (not @t80))))
% 44.12/44.38  (step @p52 :rule cnf_or_neg :args (@t85 2))
% 44.12/44.38  (step @p53 :rule eq_resolve :premises (@p52 @p51))
% 44.12/44.38  (step @p54 :rule reordering :premises (@p53) :args ((or @t74 @t85)))
% 44.12/44.38  (step @p55 :rule chain_m_resolution :premises (@p54 @p48) :args (@t74 @t86 @t87))
% 44.12/44.38  (step @p56 :rule bool-and-de-morgan :args (@t88 @t17 true))
% 44.12/44.38  (step @p57 :rule cong :premises (@p56) :args (@t90))
% 44.12/44.38  (step @p58 :rule cong :premises (@p57) :args (@t91))
% 44.12/44.38  (step @p59 :rule exists-elim :args ((= (exists @t20 @t89) @t91)))
% 44.12/44.38  (step @p60 :rule trans :premises (@p59 @p58))
% 44.12/44.38  (step @p61 :rule refl :args (@t17))
% 44.12/44.38  (step @p62 :rule eq-symm :args (@t18 @t1))
% 44.12/44.38  (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t19))
% 44.12/44.38  (step @p64 :rule cong :premises (@p63) :args (@t21))
% 44.12/44.38  (step @p65 :rule trans :premises (@p64 @p60))
% 44.12/44.38  (step @p66 :rule refl :args (@t4))
% 44.12/44.38  (step @p67 :rule cong :premises (@p66 @p65) :args (@t22))
% 44.12/44.38  (step @p68 :rule cong :premises (@p67) :args (@t23))
% 44.12/44.38  (step @p69 :rule eq_resolve :premises (@p9 @p68))
% 44.12/44.38  (step @p70 :rule instantiate :premises (@p69) :args ((@list tptp.int_zero @t75)))
% 44.12/44.38  (step @p71 :rule eq-symm :args (@t92 @t83))
% 44.12/44.38  (step @p72 :rule refl :args (@t25))
% 44.12/44.38  (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t25 @t93)))
% 44.12/44.38  (assume-push @p674 @t25)
% 44.12/44.38  (step @p75 :rule instantiate :premises (@p10) :args ((@list @t75)))
% 44.12/44.38  (step-pop @p675 :rule scope :premises (@p75))
% 44.12/44.38  (step @p76 :rule process_scope :premises (@p675) :args (@t93))
% 44.12/44.38  (step @p78 :rule eq_resolve :premises (@p76 @p73))
% 44.12/44.38  (step @p79 :rule implies_elim :premises (@p78))
% 44.12/44.38  (step @p80 :rule chain_m_resolution :premises (@p79 @p10) :args (@t94 @t95 @t96))
% 44.12/44.38  (step @p81 :rule bool-double-not-elim :args (@t83))
% 44.12/44.38  (step @p82 :rule nary_cong :premises (@p50 @p81) :args ((or @t85 (not @t84))))
% 44.12/44.38  (step @p83 :rule cnf_or_neg :args (@t85 0))
% 44.12/44.38  (step @p84 :rule eq_resolve :premises (@p83 @p82))
% 44.12/44.38  (step @p85 :rule reordering :premises (@p84) :args ((or @t83 @t85)))
% 44.12/44.38  (step @p86 :rule chain_m_resolution :premises (@p85 @p48) :args (@t83 @t86 @t87))
% 44.12/44.38  (step @p87 :rule cnf_equiv_pos1 :args (@t94))
% 44.12/44.38  (step @p88 :rule reordering :premises (@p87) :args ((or @t84 @t92 (not @t94))))
% 44.12/44.38  (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p80) :args (@t92 @t97 (@list @t83 @t94)))
% 44.12/44.38  (step @p90 :rule cnf_equiv_pos1 :args (@t102))
% 44.12/44.38  (step @p91 :rule reordering :premises (@p90) :args ((or (not @t92) @t101 (not @t102))))
% 44.12/44.38  (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p70) :args (@t101 @t97 (@list @t92 @t102)))
% 44.12/44.38  (step @p93 :rule skolemize :premises (@p92))
% 44.12/44.38  (step @p94 :rule bool-double-not-elim :args (@t105))
% 44.12/44.38  (step @p95 :rule refl :args (@t107))
% 44.12/44.38  (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t107 (not @t106))))
% 44.12/44.38  (step @p97 :rule cnf_or_neg :args (@t107 0))
% 44.12/44.38  (step @p98 :rule eq_resolve :premises (@p97 @p96))
% 44.12/44.38  (step @p99 :rule reordering :premises (@p98) :args ((or @t105 @t107)))
% 44.12/44.38  (step @p100 :rule chain_m_resolution :premises (@p99 @p93) :args (@t105 @t86 (@list @t107)))
% 44.12/44.38  (step @p101 :rule instantiate :premises (@p6) :args ((@list tptp.int_zero @t103)))
% 44.12/44.38  (step @p102 :rule eq-symm :args (@t10 @t2))
% 44.12/44.38  (step @p103 :rule cong :premises (@p102) :args (@t12))
% 44.12/44.38  (step @p104 :rule eq_resolve :premises (@p7 @p103))
% 44.12/44.38  (step @p105 :rule instantiate :premises (@p104) :args ((@list @t103)))
% 44.12/44.38  (step @p106 :rule instantiate :premises (@p1) :args (@t108))
% 44.12/44.38  (step @p107 :rule instantiate :premises (@p69) :args (@t108))
% 44.12/44.38  (step @p108 :rule bool-double-not-elim :args (@t112))
% 44.12/44.38  (step @p109 :rule refl :args (@t116))
% 44.12/44.38  (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t116 (not @t115))))
% 44.12/44.38  (step @p111 :rule cnf_or_neg :args (@t116 0))
% 44.12/44.38  (step @p112 :rule eq_resolve :premises (@p111 @p110))
% 44.12/44.38  (step @p113 :rule reordering :premises (@p112) :args ((or @t112 @t116)))
% 44.12/44.38  (step @p114 :rule bool-double-not-elim :args (@t113))
% 44.12/44.38  (step @p115 :rule nary_cong :premises (@p109 @p114) :args ((or @t116 (not @t114))))
% 44.12/44.38  (step @p116 :rule cnf_or_neg :args (@t116 1))
% 44.12/44.38  (step @p117 :rule eq_resolve :premises (@p116 @p115))
% 44.12/44.38  (step @p118 :rule reordering :premises (@p117) :args ((or @t113 @t116)))
% 44.12/44.38  (step @p119 :rule bool-eq-true :args (@t117))
% 44.12/44.38  (step @p120 :rule absorb :args ((= (or @t118 true) true)))
% 44.12/44.38  (step @p121 :rule eq-refl :args (@t75))
% 44.12/44.38  (step @p122 :rule refl :args (@t118))
% 44.12/44.38  (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t119))
% 44.12/44.38  (step @p124 :rule trans :premises (@p123 @p120))
% 44.12/44.38  (step @p125 :rule refl :args (@t117))
% 44.12/44.38  (step @p126 :rule cong :premises (@p125 @p124) :args (@t120))
% 44.12/44.38  (step @p127 :rule trans :premises (@p126 @p119))
% 44.12/44.38  (step @p128 :rule refl :args (@t6))
% 44.12/44.38  (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t6 @t120)))
% 44.12/44.38  (assume-push @p676 @t6)
% 44.12/44.38  (step @p131 :rule instantiate :premises (@p1) :args ((@list @t75 @t75)))
% 44.12/44.38  (step-pop @p677 :rule scope :premises (@p131))
% 44.12/44.38  (step @p132 :rule process_scope :premises (@p677) :args (@t120))
% 44.12/44.38  (step @p134 :rule eq_resolve :premises (@p132 @p129))
% 44.12/44.38  (step @p135 :rule implies_elim :premises (@p134))
% 44.12/44.38  (step @p136 :rule chain_m_resolution :premises (@p135 @p1) :args (@t117 @t95 @t121))
% 44.12/44.38  (step @p137 :rule quant-merge-prenex :args ((= (forall @t5 @t133) (forall (@list @t2 @t1 @t128 @t127 @t125 @t122 @t123) @t131))))
% 44.12/44.38  (step @p138 :rule alpha_equiv :args (@t134 (@list @t122 @t123) (@list @t26 @t135)))
% 44.12/44.38  (step @p139 :rule quant-unused-vars :args ((= @t136 @t134)))
% 44.12/44.38  (step @p140 :rule trans :premises (@p139 @p138))
% 44.12/44.38  (step @p141 :rule alpha_equiv :args (@t137 (@list @t125) @t138))
% 44.12/44.38  (step @p142 :rule quant-unused-vars :args ((= @t139 @t137)))
% 44.12/44.38  (step @p143 :rule trans :premises (@p142 @p141))
% 44.12/44.38  (step @p144 :rule alpha_equiv :args (@t140 (@list @t128 @t127) (@list @t26 @t141)))
% 44.12/44.38  (step @p145 :rule quant-unused-vars :args ((= @t142 @t140)))
% 44.12/44.38  (step @p146 :rule trans :premises (@p145 @p144))
% 44.12/44.38  (step @p147 :rule nary_cong :premises (@p146 @p143 @p140) :args (@t143))
% 44.12/44.38  (step @p148 :rule quant-miniscope-and :args ((= @t144 @t143)))
% 44.12/44.38  (step @p149 :rule trans :premises (@p148 @p147))
% 44.12/44.38  (step @p150 :rule nary_cong :premises (@p21 @p20 @p19 @p18 @p149) :args (@t145))
% 44.12/44.38  (step @p151 :rule quant-miniscope-or :args ((= @t133 @t145)))
% 44.12/44.38  (step @p152 :rule trans :premises (@p151 @p150))
% 44.12/44.38  (step @p153 :rule symm :premises (@p152))
% 44.12/44.38  (step @p154 :rule cong :premises (@p153) :args ((forall @t5 @t164)))
% 44.12/44.38  (step @p155 :rule trans :premises (@p154 @p137))
% 44.12/44.38  (step @p156 :rule aci_norm :args ((= (or @t165 @t163) @t164)))
% 44.12/44.38  (step @p157 :rule refl :args (@t163))
% 44.12/44.38  (step @p158 :rule aci_norm :args ((= (or @t68 (or @t67 (or @t66 @t65))) @t165)))
% 44.12/44.38  (step @p159 :rule bool-and-de-morgan :args (@t54 @t53 true))
% 44.12/44.38  (step @p160 :rule nary_cong :premises (@p20 @p159) :args ((or @t67 (not (and @t54 @t53)))))
% 44.12/44.38  (step @p161 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53)))
% 44.12/44.38  (step @p162 :rule trans :premises (@p161 @p160))
% 44.12/44.38  (step @p163 :rule nary_cong :premises (@p21 @p162) :args ((or @t68 (not (and @t55 @t54 @t53)))))
% 44.12/44.38  (step @p164 :rule bool-and-de-morgan :args (@t24 @t55 (and @t54 @t53)))
% 44.12/44.38  (step @p165 :rule trans :premises (@p164 @p163))
% 44.12/44.38  (step @p166 :rule trans :premises (@p165 @p158))
% 44.12/44.38  (step @p167 :rule nary_cong :premises (@p166 @p157) :args ((or (not @t56) @t163)))
% 44.12/44.38  (step @p168 :rule trans :premises (@p167 @p156))
% 44.12/44.38  (step @p169 :rule bool-impl-elim :args (@t56 @t163))
% 44.12/44.38  (step @p170 :rule trans :premises (@p169 @p168))
% 44.12/44.38  (step @p171 :rule cong :premises (@p170) :args ((forall @t5 (=> @t56 @t163))))
% 44.12/44.38  (step @p172 :rule trans :premises (@p171 @p155))
% 44.12/44.38  (step @p173 :rule aci_norm :args ((= @t167 @t151)))
% 44.12/44.38  (step @p174 :rule cong :premises (@p173) :args (@t168))
% 44.12/44.38  (step @p175 :rule quant-merge-prenex :args ((= (forall @t38 @t170) @t168)))
% 44.12/44.38  (step @p176 :rule alpha_equiv :args (@t171 (@list @t135) @t138))
% 44.12/44.38  (step @p177 :rule refl :args (@t149))
% 44.12/44.38  (step @p178 :rule refl :args (@t150))
% 44.12/44.38  (step @p179 :rule nary_cong :premises (@p178 @p177 @p176) :args (@t172))
% 44.12/44.38  (step @p180 :rule quant-miniscope-or :args ((= @t170 @t172)))
% 44.12/44.38  (step @p181 :rule trans :premises (@p180 @p179))
% 44.12/44.38  (step @p182 :rule symm :premises (@p181))
% 44.12/44.38  (step @p183 :rule cong :premises (@p182) :args ((forall @t38 @t177)))
% 44.12/44.38  (step @p184 :rule trans :premises (@p183 @p175))
% 44.12/44.38  (step @p185 :rule trans :premises (@p184 @p174))
% 44.12/44.38  (step @p186 :rule aci_norm :args ((= (or (or @t150 @t149) @t176) @t177)))
% 44.12/44.38  (step @p187 :rule refl :args (@t176))
% 44.12/44.38  (step @p188 :rule bool-and-de-morgan :args (@t35 @t34 true))
% 44.12/44.38  (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or (not @t36) @t176)))
% 44.12/44.38  (step @p190 :rule trans :premises (@p189 @p186))
% 44.12/44.38  (step @p191 :rule bool-impl-elim :args (@t36 @t176))
% 44.12/44.38  (step @p192 :rule trans :premises (@p191 @p190))
% 44.12/44.38  (step @p193 :rule cong :premises (@p192) :args ((forall @t38 (=> @t36 @t176))))
% 44.12/44.38  (step @p194 :rule trans :premises (@p193 @p185))
% 44.12/44.38  (step @p195 :rule aci_norm :args ((= (or (or @t155 @t174) @t173) @t175)))
% 44.12/44.38  (step @p196 :rule refl :args (@t173))
% 44.12/44.38  (step @p197 :rule bool-and-de-morgan :args (@t30 @t29 true))
% 44.12/44.38  (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or (not @t31) @t173)))
% 44.12/44.38  (step @p199 :rule trans :premises (@p198 @p195))
% 44.12/44.38  (step @p200 :rule bool-impl-elim :args (@t31 @t173))
% 44.12/44.38  (step @p201 :rule trans :premises (@p200 @p199))
% 44.12/44.38  (step @p202 :rule cong :premises (@p201) :args ((forall @t20 (=> @t31 @t173))))
% 44.12/44.38  (step @p203 :rule eq-symm :args (@t28 tptp.real_zero))
% 44.12/44.38  (step @p204 :rule refl :args (@t31))
% 44.12/44.38  (step @p205 :rule cong :premises (@p204 @p203) :args (@t32))
% 44.12/44.38  (step @p206 :rule cong :premises (@p205) :args (@t33))
% 44.12/44.38  (step @p207 :rule trans :premises (@p206 @p202))
% 44.12/44.38  (step @p208 :rule refl :args (@t36))
% 44.12/44.38  (step @p209 :rule cong :premises (@p208 @p207) :args (@t37))
% 44.12/44.38  (step @p210 :rule cong :premises (@p209) :args (@t39))
% 44.12/44.38  (step @p211 :rule trans :premises (@p210 @p194))
% 44.12/44.38  (step @p212 :rule aci_norm :args ((= (or @t178 @t153) @t156)))
% 44.12/44.38  (step @p213 :rule refl :args (@t153))
% 44.12/44.38  (step @p214 :rule bool-and-de-morgan :args (@t30 @t41 true))
% 44.12/44.38  (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or @t179 @t153)))
% 44.12/44.38  (step @p216 :rule trans :premises (@p215 @p212))
% 44.12/44.38  (step @p217 :rule bool-impl-elim :args (@t42 @t153))
% 44.12/44.38  (step @p218 :rule trans :premises (@p217 @p216))
% 44.12/44.38  (step @p219 :rule cong :premises (@p218) :args ((forall @t20 (=> @t42 @t153))))
% 44.12/44.38  (step @p220 :rule eq-symm :args (@t40 tptp.real_one))
% 44.12/44.38  (step @p221 :rule refl :args (@t42))
% 44.12/44.38  (step @p222 :rule cong :premises (@p221 @p220) :args (@t43))
% 44.12/44.38  (step @p223 :rule cong :premises (@p222) :args (@t44))
% 44.12/44.38  (step @p224 :rule trans :premises (@p223 @p219))
% 44.12/44.38  (step @p225 :rule aci_norm :args ((= @t181 @t161)))
% 44.12/44.38  (step @p226 :rule cong :premises (@p225) :args (@t182))
% 44.12/44.38  (step @p227 :rule quant-merge-prenex :args ((= (forall @t38 @t184) @t182)))
% 44.12/44.38  (step @p228 :rule alpha_equiv :args (@t185 (@list @t141) @t138))
% 44.12/44.38  (step @p229 :rule refl :args (@t160))
% 44.12/44.38  (step @p230 :rule nary_cong :premises (@p178 @p229 @p228) :args (@t186))
% 44.12/44.38  (step @p231 :rule quant-miniscope-or :args ((= @t184 @t186)))
% 44.12/44.38  (step @p232 :rule trans :premises (@p231 @p230))
% 44.12/44.38  (step @p233 :rule symm :premises (@p232))
% 44.12/44.38  (step @p234 :rule cong :premises (@p233) :args ((forall @t38 @t190)))
% 44.12/44.38  (step @p235 :rule trans :premises (@p234 @p227))
% 44.12/44.38  (step @p236 :rule trans :premises (@p235 @p226))
% 44.12/44.38  (step @p237 :rule aci_norm :args ((= (or (or @t150 @t160) @t189) @t190)))
% 44.12/44.38  (step @p238 :rule refl :args (@t189))
% 44.12/44.38  (step @p239 :rule bool-and-de-morgan :args (@t35 @t48 true))
% 44.12/44.38  (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or (not @t49) @t189)))
% 44.12/44.38  (step @p241 :rule trans :premises (@p240 @p237))
% 44.12/44.38  (step @p242 :rule bool-impl-elim :args (@t49 @t189))
% 44.12/44.38  (step @p243 :rule trans :premises (@p242 @p241))
% 44.12/44.38  (step @p244 :rule cong :premises (@p243) :args ((forall @t38 (=> @t49 @t189))))
% 44.12/44.38  (step @p245 :rule trans :premises (@p244 @p236))
% 44.12/44.38  (step @p246 :rule aci_norm :args ((= (or @t178 @t187) @t188)))
% 44.12/44.38  (step @p247 :rule refl :args (@t187))
% 44.12/44.38  (step @p248 :rule nary_cong :premises (@p214 @p247) :args ((or @t179 @t187)))
% 44.12/44.38  (step @p249 :rule trans :premises (@p248 @p246))
% 44.12/44.38  (step @p250 :rule bool-impl-elim :args (@t42 @t187))
% 44.12/44.38  (step @p251 :rule trans :premises (@p250 @p249))
% 44.12/44.38  (step @p252 :rule cong :premises (@p251) :args ((forall @t20 (=> @t42 @t187))))
% 44.12/44.38  (step @p253 :rule eq-symm :args (@t45 tptp.real_zero))
% 44.12/44.38  (step @p254 :rule cong :premises (@p221 @p253) :args (@t46))
% 44.12/44.38  (step @p255 :rule cong :premises (@p254) :args (@t47))
% 44.12/44.38  (step @p256 :rule trans :premises (@p255 @p252))
% 44.12/44.38  (step @p257 :rule refl :args (@t49))
% 44.12/44.38  (step @p258 :rule cong :premises (@p257 @p256) :args (@t50))
% 44.12/44.38  (step @p259 :rule cong :premises (@p258) :args (@t51))
% 44.12/44.38  (step @p260 :rule trans :premises (@p259 @p245))
% 44.12/44.38  (step @p261 :rule nary_cong :premises (@p260 @p224 @p211) :args (@t52))
% 44.12/44.38  (step @p262 :rule refl :args (@t56))
% 44.12/44.38  (step @p263 :rule cong :premises (@p262 @p261) :args (@t57))
% 44.12/44.38  (step @p264 :rule cong :premises (@p263) :args (@t58))
% 44.12/44.38  (step @p265 :rule trans :premises (@p264 @p172))
% 44.12/44.38  (step @p266 :rule eq_resolve :premises (@p12 @p265))
% 44.12/44.38  (step @p267 :rule instantiate :premises (@p266) :args ((@list @t75 @t73 tptp.int_one tptp.int_one tptp.int_one @t110 @t75)))
% 44.12/44.38  (step @p268 :rule bool-double-not-elim :args (@t78))
% 44.12/44.38  (step @p269 :rule nary_cong :premises (@p50 @p268) :args ((or @t85 (not @t79))))
% 44.12/44.38  (step @p270 :rule cnf_or_neg :args (@t85 3))
% 44.12/44.38  (step @p271 :rule eq_resolve :premises (@p270 @p269))
% 44.12/44.38  (step @p272 :rule reordering :premises (@p271) :args ((or @t78 @t85)))
% 44.12/44.38  (step @p273 :rule chain_m_resolution :premises (@p272 @p48) :args (@t78 @t86 @t87))
% 44.12/44.38  (step @p274 :rule bool-double-not-elim :args (@t81))
% 44.12/44.38  (step @p275 :rule nary_cong :premises (@p50 @p274) :args ((or @t85 (not @t82))))
% 44.12/44.38  (step @p276 :rule cnf_or_neg :args (@t85 1))
% 44.12/44.38  (step @p277 :rule eq_resolve :premises (@p276 @p275))
% 44.12/44.38  (step @p278 :rule reordering :premises (@p277) :args ((or @t81 @t85)))
% 44.12/44.38  (step @p279 :rule chain_m_resolution :premises (@p278 @p48) :args (@t81 @t86 @t87))
% 44.12/44.38  (step @p280 :rule cnf_or_pos :args (@t200))
% 44.12/44.38  (step @p281 :rule reordering :premises (@p280) :args ((or @t84 @t82 @t80 @t79 @t199 (not @t200))))
% 44.12/44.38  (step @p282 :rule chain_m_resolution :premises (@p281 @p86 @p279 @p55 @p273 @p267) :args (@t199 @t201 (@list @t83 @t81 @t74 @t78 @t200)))
% 44.12/44.38  (step @p283 :rule cnf_and_pos :args (@t199 2))
% 44.12/44.38  (step @p284 :rule reordering :premises (@p283) :args ((or @t194 (not @t199))))
% 44.12/44.38  (step @p285 :rule chain_m_resolution :premises (@p284 @p282) :args (@t194 @t95 (@list @t199)))
% 44.12/44.38  (step @p286 :rule cnf_or_pos :args (@t194))
% 44.12/44.38  (step @p287 :rule reordering :premises (@p286) :args ((or @t84 @t193 @t115 @t114 @t192 (not @t194))))
% 44.12/44.38  (step @p288 :rule cnf_or_neg :args (@t85 5))
% 44.12/44.38  (step @p289 :rule chain_m_resolution :premises (@p288 @p48) :args (@t202 @t86 @t87))
% 44.12/44.38  (step @p290 :rule refl :args (@t203))
% 44.12/44.38  (step @p291 :rule refl :args (@t115))
% 44.12/44.38  (step @p292 :rule bool-double-not-elim :args (@t76))
% 44.12/44.38  (step @p293 :rule nary_cong :premises (@p292 @p291 @p290) :args ((or @t204 @t115 @t203)))
% 44.12/44.38  (assume-push @p678 @t202)
% 44.12/44.38  (assume-push @p679 @t112)
% 44.12/44.38  (assume-push @p680 @t202)
% 44.12/44.38  (assume-push @p681 @t112)
% 44.12/44.38  (step @p298 :rule false_intro :premises (@p289))
% 44.12/44.38  (step @p299 :rule symm :premises (@p679))
% 44.12/44.38  (step @p300 :rule refl :args (@t75))
% 44.12/44.38  (step @p301 :rule cong :premises (@p300 @p299) :args (@t191))
% 44.12/44.38  (step @p302 :rule refl :args (tptp.real_zero))
% 44.12/44.38  (step @p303 :rule cong :premises (@p302 @p301) :args (@t192))
% 44.12/44.38  (step @p304 :rule trans :premises (@p303 @p298))
% 44.12/44.38  (step @p305 :rule false_elim :premises (@p304))
% 44.12/44.38  (step-pop @p682 :rule scope :premises (@p305))
% 44.12/44.38  (step-pop @p683 :rule scope :premises (@p682))
% 44.12/44.38  (step @p306 :rule process_scope :premises (@p683) :args (@t203))
% 44.12/44.38  (step @p309 :rule and_intro :premises (@p289 @p679))
% 44.12/44.38  (step @p310 :rule modus_ponens :premises (@p309 @p306))
% 44.12/44.38  (step-pop @p684 :rule scope :premises (@p310))
% 44.12/44.38  (step-pop @p685 :rule scope :premises (@p684))
% 44.12/44.38  (step @p311 :rule process_scope :premises (@p685) :args (@t203))
% 44.12/44.38  (step @p314 :rule implies_elim :premises (@p311))
% 44.12/44.38  (step @p315 :rule cnf_and_neg :args (@t205))
% 44.12/44.38  (step @p316 :rule resolution :premises (@p315 @p314) :args (true @t205))
% 44.12/44.38  (step @p317 :rule eq_resolve :premises (@p316 @p293))
% 44.12/44.38  (step @p318 :rule chain_m_resolution :premises (@p317 @p289 @p287 @p285 @p136 @p86 @p118 @p113) :args (@t116 @t206 (@list @t76 @t192 @t194 @t117 @t83 @t113 @t112)))
% 44.12/44.38  (step @p319 :rule refl :args (@t207))
% 44.12/44.38  (step @p320 :rule bool-double-not-elim :args (@t109))
% 44.12/44.38  (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or (not @t208) @t207)))
% 44.12/44.38  (assume-push @p686 @t208)
% 44.12/44.38  (step @p323 :rule skolemize :premises (@p686))
% 44.12/44.38  (step-pop @p687 :rule scope :premises (@p323))
% 44.12/44.38  (step @p324 :rule process_scope :premises (@p687) :args (@t207))
% 44.12/44.38  (step @p326 :rule implies_elim :premises (@p324))
% 44.12/44.38  (step @p327 :rule eq_resolve :premises (@p326 @p321))
% 44.12/44.38  (step @p328 :rule chain_m_resolution :premises (@p327 @p318) :args (@t109 @t95 (@list @t116)))
% 44.12/44.38  (step @p329 :rule cnf_equiv_pos1 :args (@t210))
% 44.12/44.38  (step @p330 :rule reordering :premises (@p329) :args ((or @t211 @t208 (not @t210))))
% 44.12/44.38  (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p107) :args (@t211 @t97 (@list @t109 @t210)))
% 44.12/44.38  (step @p332 :rule cnf_or_neg :args (@t85 4))
% 44.12/44.38  (step @p333 :rule chain_m_resolution :premises (@p332 @p48) :args (@t212 @t86 @t87))
% 44.12/44.38  (step @p334 :rule cnf_or_pos :args (@t213))
% 44.12/44.38  (step @p335 :rule reordering :premises (@p334) :args ((or @t77 @t209 @t214)))
% 44.12/44.38  (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p331) :args (@t214 (@list true true) (@list @t77 @t209)))
% 44.12/44.38  (step @p337 :rule cnf_equiv_pos1 :args (@t216))
% 44.12/44.38  (step @p338 :rule reordering :premises (@p337) :args ((or @t217 @t213 (not @t216))))
% 44.12/44.38  (step @p339 :rule chain_m_resolution :premises (@p338 @p336 @p106) :args (@t217 @t218 (@list @t213 @t216)))
% 44.12/44.38  (step @p340 :rule instantiate :premises (@p1) :args (@t219))
% 44.12/44.38  (step @p341 :rule cnf_equiv_pos1 :args (@t223))
% 44.12/44.38  (step @p342 :rule reordering :premises (@p341) :args ((or @t84 @t222 (not @t223))))
% 44.12/44.38  (step @p343 :rule chain_m_resolution :premises (@p342 @p86 @p340) :args (@t222 @t97 (@list @t83 @t223)))
% 44.12/44.38  (step @p344 :rule instantiate :premises (@p69) :args (@t219))
% 44.12/44.38  (step @p345 :rule cnf_equiv_pos1 :args (@t227))
% 44.12/44.38  (step @p346 :rule reordering :premises (@p345) :args ((or @t228 @t226 (not @t227))))
% 44.12/44.38  (step @p347 :rule refl :args (@t234))
% 44.12/44.38  (step @p348 :rule bool-double-not-elim :args (@t225))
% 44.12/44.38  (step @p349 :rule nary_cong :premises (@p348 @p347) :args ((or (not @t226) @t234)))
% 44.12/44.38  (assume-push @p688 @t226)
% 44.12/44.38  (step @p351 :rule skolemize :premises (@p688))
% 44.12/44.38  (step-pop @p689 :rule scope :premises (@p351))
% 44.12/44.38  (step @p352 :rule process_scope :premises (@p689) :args (@t234))
% 44.12/44.38  (step @p354 :rule implies_elim :premises (@p352))
% 44.12/44.38  (step @p355 :rule eq_resolve :premises (@p354 @p349))
% 44.12/44.38  (step @p356 :rule bool-double-not-elim :args (@t231))
% 44.12/44.38  (step @p357 :rule refl :args (@t233))
% 44.12/44.38  (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or @t233 (not @t232))))
% 44.12/44.38  (step @p359 :rule cnf_or_neg :args (@t233 0))
% 44.12/44.38  (step @p360 :rule eq_resolve :premises (@p359 @p358))
% 44.12/44.38  (step @p361 :rule reordering :premises (@p360) :args ((or @t231 @t233)))
% 44.12/44.38  (step @p362 :rule refl :args (@t239))
% 44.12/44.38  (step @p363 :rule refl :args (@t241))
% 44.12/44.38  (step @p364 :rule refl :args (@t232))
% 44.12/44.38  (step @p365 :rule bool-double-not-elim :args (@t77))
% 44.12/44.38  (step @p366 :rule nary_cong :premises (@p365 @p364 @p363 @p362) :args ((or (not @t212) @t232 @t241 @t239)))
% 44.12/44.38  (assume-push @p690 @t212)
% 44.12/44.38  (assume-push @p691 @t231)
% 44.12/44.38  (assume-push @p692 @t240)
% 44.12/44.38  (assume-push @p693 @t212)
% 44.12/44.38  (assume-push @p694 @t231)
% 44.12/44.38  (assume-push @p695 @t240)
% 44.12/44.38  (step @p373 :rule false_intro :premises (@p333))
% 44.12/44.38  (step @p374 :rule symm :premises (@p692))
% 44.12/44.38  (step @p375 :rule symm :premises (@p691))
% 44.12/44.38  (step @p376 :rule cong :premises (@p375 @p374) :args (@t238))
% 44.12/44.38  (step @p377 :rule trans :premises (@p376 @p373))
% 44.12/44.38  (step @p378 :rule false_elim :premises (@p377))
% 44.12/44.38  (step-pop @p696 :rule scope :premises (@p378))
% 44.12/44.38  (step-pop @p697 :rule scope :premises (@p696))
% 44.12/44.38  (step-pop @p698 :rule scope :premises (@p697))
% 44.12/44.38  (step @p379 :rule process_scope :premises (@p698) :args (@t239))
% 44.12/44.38  (step @p383 :rule and_intro :premises (@p333 @p691 @p692))
% 44.12/44.38  (step @p384 :rule modus_ponens :premises (@p383 @p379))
% 44.12/44.38  (step-pop @p699 :rule scope :premises (@p384))
% 44.12/44.38  (step-pop @p700 :rule scope :premises (@p699))
% 44.12/44.38  (step-pop @p701 :rule scope :premises (@p700))
% 44.12/44.38  (step @p385 :rule process_scope :premises (@p701) :args (@t239))
% 44.12/44.38  (step @p389 :rule implies_elim :premises (@p385))
% 44.12/44.38  (step @p390 :rule cnf_and_neg :args (@t242))
% 44.12/44.38  (step @p391 :rule resolution :premises (@p390 @p389) :args (true @t242))
% 44.12/44.38  (step @p392 :rule eq_resolve :premises (@p391 @p366))
% 44.12/44.38  (step @p393 :rule refl :args (@t244))
% 44.12/44.38  (step @p394 :rule bool-double-not-elim :args (@t209))
% 44.12/44.38  (step @p395 :rule nary_cong :premises (@p364 @p363 @p394 @p393) :args ((or @t232 @t241 (not @t211) @t244)))
% 44.12/44.38  (assume-push @p702 @t231)
% 44.12/44.38  (assume-push @p703 @t240)
% 44.12/44.38  (assume-push @p704 @t211)
% 44.12/44.38  (assume-push @p705 @t211)
% 44.12/44.38  (assume-push @p706 @t231)
% 44.12/44.38  (assume-push @p707 @t240)
% 44.12/44.38  (step @p402 :rule false_intro :premises (@p704))
% 44.12/44.38  (step @p403 :rule symm :premises (@p703))
% 44.12/44.38  (step @p404 :rule symm :premises (@p702))
% 44.12/44.38  (step @p405 :rule cong :premises (@p404 @p403) :args (@t243))
% 44.12/44.38  (step @p406 :rule trans :premises (@p405 @p402))
% 44.12/44.38  (step @p407 :rule false_elim :premises (@p406))
% 44.12/44.38  (step-pop @p708 :rule scope :premises (@p407))
% 44.12/44.38  (step-pop @p709 :rule scope :premises (@p708))
% 44.12/44.38  (step-pop @p710 :rule scope :premises (@p709))
% 44.12/44.38  (step @p408 :rule process_scope :premises (@p710) :args (@t244))
% 44.12/44.38  (step @p412 :rule and_intro :premises (@p704 @p702 @p703))
% 44.12/44.38  (step @p413 :rule modus_ponens :premises (@p412 @p408))
% 44.12/44.38  (step-pop @p711 :rule scope :premises (@p413))
% 44.12/44.38  (step-pop @p712 :rule scope :premises (@p711))
% 44.12/44.38  (step-pop @p713 :rule scope :premises (@p712))
% 44.12/44.38  (step @p414 :rule process_scope :premises (@p713) :args (@t244))
% 44.12/44.38  (step @p418 :rule implies_elim :premises (@p414))
% 44.12/44.38  (step @p419 :rule cnf_and_neg :args (@t245))
% 44.12/44.38  (step @p420 :rule resolution :premises (@p419 @p418) :args (true @t245))
% 44.12/44.38  (step @p421 :rule eq_resolve :premises (@p420 @p395))
% 44.12/44.38  (step @p422 :rule instantiate :premises (@p69) :args ((@list @t73 @t75)))
% 44.12/44.38  (step @p423 :rule bool-double-not-elim :args (@t249))
% 44.12/44.38  (step @p424 :rule refl :args (@t253))
% 44.12/44.38  (step @p425 :rule nary_cong :premises (@p424 @p423) :args ((or @t253 (not @t252))))
% 44.12/44.38  (step @p426 :rule cnf_or_neg :args (@t253 0))
% 44.12/44.38  (step @p427 :rule eq_resolve :premises (@p426 @p425))
% 44.12/44.38  (step @p428 :rule reordering :premises (@p427) :args ((or @t249 @t253)))
% 44.12/44.38  (step @p429 :rule bool-double-not-elim :args (@t250))
% 44.12/44.38  (step @p430 :rule nary_cong :premises (@p424 @p429) :args ((or @t253 (not @t251))))
% 44.12/44.38  (step @p431 :rule cnf_or_neg :args (@t253 1))
% 44.12/44.38  (step @p432 :rule eq_resolve :premises (@p431 @p430))
% 44.12/44.38  (step @p433 :rule reordering :premises (@p432) :args ((or @t250 @t253)))
% 44.12/44.38  (step @p434 :rule bool-eq-true :args (@t254))
% 44.12/44.38  (step @p435 :rule absorb :args ((= (or @t255 true) true)))
% 44.12/44.38  (step @p436 :rule eq-refl :args (@t73))
% 44.12/44.38  (step @p437 :rule refl :args (@t255))
% 44.12/44.38  (step @p438 :rule nary_cong :premises (@p437 @p436) :args (@t256))
% 44.12/44.38  (step @p439 :rule trans :premises (@p438 @p435))
% 44.12/44.38  (step @p440 :rule refl :args (@t254))
% 44.12/44.38  (step @p441 :rule cong :premises (@p440 @p439) :args (@t257))
% 44.12/44.38  (step @p442 :rule trans :premises (@p441 @p434))
% 44.12/44.38  (step @p443 :rule cong :premises (@p128 @p442) :args ((=> @t6 @t257)))
% 44.12/44.38  (assume-push @p714 @t6)
% 44.12/44.38  (step @p445 :rule instantiate :premises (@p1) :args ((@list @t73 @t73)))
% 44.12/44.38  (step-pop @p715 :rule scope :premises (@p445))
% 44.12/44.38  (step @p446 :rule process_scope :premises (@p715) :args (@t257))
% 44.12/44.38  (step @p448 :rule eq_resolve :premises (@p446 @p443))
% 44.12/44.38  (step @p449 :rule implies_elim :premises (@p448))
% 44.12/44.38  (step @p450 :rule chain_m_resolution :premises (@p449 @p1) :args (@t254 @t95 @t121))
% 44.12/44.38  (step @p451 :rule instantiate :premises (@p266) :args ((@list @t75 @t73 @t247 @t73 tptp.int_one tptp.int_one tptp.int_one)))
% 44.12/44.38  (step @p452 :rule cnf_or_pos :args (@t263))
% 44.12/44.38  (step @p453 :rule reordering :premises (@p452) :args ((or @t84 @t82 @t80 @t79 @t262 (not @t263))))
% 44.12/44.38  (step @p454 :rule chain_m_resolution :premises (@p453 @p86 @p279 @p55 @p273 @p451) :args (@t262 @t201 (@list @t83 @t81 @t74 @t78 @t263)))
% 44.12/44.38  (step @p455 :rule cnf_and_pos :args (@t262 0))
% 44.12/44.38  (step @p456 :rule reordering :premises (@p455) :args ((or @t261 (not @t262))))
% 44.12/44.38  (step @p457 :rule chain_m_resolution :premises (@p456 @p454) :args (@t261 @t95 (@list @t262)))
% 44.12/44.38  (step @p458 :rule cnf_or_pos :args (@t261))
% 44.12/44.38  (step @p459 :rule reordering :premises (@p458) :args ((or @t80 @t260 @t252 @t251 @t259 (not @t261))))
% 44.12/44.38  (step @p460 :rule refl :args (@t264))
% 44.12/44.38  (step @p461 :rule refl :args (@t252))
% 44.12/44.38  (step @p462 :rule nary_cong :premises (@p292 @p461 @p460) :args ((or @t204 @t252 @t264)))
% 44.12/44.38  (assume-push @p716 @t202)
% 44.12/44.38  (assume-push @p717 @t249)
% 44.12/44.38  (assume-push @p718 @t202)
% 44.12/44.38  (assume-push @p719 @t249)
% 44.12/44.38  (step @p298 :rule false_intro :premises (@p289))
% 44.12/44.38  (step @p467 :rule refl :args (@t73))
% 44.12/44.38  (step @p468 :rule symm :premises (@p717))
% 44.12/44.38  (step @p469 :rule cong :premises (@p468 @p467) :args (@t258))
% 44.12/44.38  (step @p302 :rule refl :args (tptp.real_zero))
% 44.12/44.38  (step @p470 :rule cong :premises (@p302 @p469) :args (@t259))
% 44.12/44.38  (step @p471 :rule trans :premises (@p470 @p298))
% 44.12/44.38  (step @p472 :rule false_elim :premises (@p471))
% 44.12/44.38  (step-pop @p720 :rule scope :premises (@p472))
% 44.12/44.38  (step-pop @p721 :rule scope :premises (@p720))
% 44.12/44.38  (step @p473 :rule process_scope :premises (@p721) :args (@t264))
% 44.12/44.38  (step @p476 :rule and_intro :premises (@p289 @p717))
% 44.12/44.38  (step @p477 :rule modus_ponens :premises (@p476 @p473))
% 44.12/44.38  (step-pop @p722 :rule scope :premises (@p477))
% 44.12/44.38  (step-pop @p723 :rule scope :premises (@p722))
% 44.12/44.38  (step @p478 :rule process_scope :premises (@p723) :args (@t264))
% 44.12/44.38  (step @p481 :rule implies_elim :premises (@p478))
% 44.12/44.38  (step @p482 :rule cnf_and_neg :args (@t265))
% 44.12/44.38  (step @p483 :rule resolution :premises (@p482 @p481) :args (true @t265))
% 44.12/44.38  (step @p484 :rule eq_resolve :premises (@p483 @p462))
% 44.12/44.38  (step @p485 :rule chain_m_resolution :premises (@p484 @p289 @p459 @p457 @p450 @p55 @p433 @p428) :args (@t253 @t206 (@list @t76 @t259 @t261 @t254 @t74 @t250 @t249)))
% 44.12/44.38  (step @p486 :rule refl :args (@t266))
% 44.12/44.38  (step @p487 :rule bool-double-not-elim :args (@t246))
% 44.12/44.38  (step @p488 :rule nary_cong :premises (@p487 @p486) :args ((or (not @t267) @t266)))
% 44.12/44.38  (assume-push @p724 @t267)
% 44.12/44.38  (step @p490 :rule skolemize :premises (@p724))
% 44.12/44.38  (step-pop @p725 :rule scope :premises (@p490))
% 44.12/44.38  (step @p491 :rule process_scope :premises (@p725) :args (@t266))
% 44.12/44.38  (step @p493 :rule implies_elim :premises (@p491))
% 44.12/44.38  (step @p494 :rule eq_resolve :premises (@p493 @p488))
% 44.12/44.38  (step @p495 :rule chain_m_resolution :premises (@p494 @p485) :args (@t246 @t95 (@list @t253)))
% 44.12/44.38  (step @p496 :rule cnf_equiv_pos1 :args (@t269))
% 44.12/44.38  (step @p497 :rule reordering :premises (@p496) :args ((or @t270 @t267 (not @t269))))
% 44.12/44.38  (step @p498 :rule chain_m_resolution :premises (@p497 @p495 @p422) :args (@t270 @t97 (@list @t246 @t269)))
% 44.12/44.38  (step @p499 :rule refl :args (@t272))
% 44.12/44.38  (step @p500 :rule bool-double-not-elim :args (@t268))
% 44.12/44.38  (step @p501 :rule nary_cong :premises (@p364 @p363 @p500 @p499) :args ((or @t232 @t241 @t273 @t272)))
% 44.12/44.38  (assume-push @p726 @t231)
% 44.12/44.38  (assume-push @p727 @t240)
% 44.12/44.38  (assume-push @p728 @t270)
% 44.12/44.38  (assume-push @p729 @t270)
% 44.12/44.38  (assume-push @p730 @t240)
% 44.12/44.38  (assume-push @p731 @t231)
% 44.12/44.38  (step @p508 :rule false_intro :premises (@p728))
% 44.12/44.38  (step @p509 :rule symm :premises (@p726))
% 44.12/44.38  (step @p510 :rule symm :premises (@p727))
% 44.12/44.38  (step @p511 :rule cong :premises (@p510 @p509) :args (@t271))
% 44.12/44.38  (step @p512 :rule trans :premises (@p511 @p508))
% 44.12/44.38  (step @p513 :rule false_elim :premises (@p512))
% 44.12/44.38  (step-pop @p732 :rule scope :premises (@p513))
% 44.12/44.38  (step-pop @p733 :rule scope :premises (@p732))
% 44.12/44.38  (step-pop @p734 :rule scope :premises (@p733))
% 44.12/44.38  (step @p514 :rule process_scope :premises (@p734) :args (@t272))
% 44.12/44.38  (step @p518 :rule and_intro :premises (@p728 @p727 @p726))
% 44.12/44.38  (step @p519 :rule modus_ponens :premises (@p518 @p514))
% 44.12/44.38  (step-pop @p735 :rule scope :premises (@p519))
% 44.12/44.38  (step-pop @p736 :rule scope :premises (@p735))
% 44.12/44.38  (step-pop @p737 :rule scope :premises (@p736))
% 44.12/44.38  (step @p520 :rule process_scope :premises (@p737) :args (@t272))
% 44.12/44.38  (step @p524 :rule implies_elim :premises (@p520))
% 44.12/44.38  (step @p525 :rule cnf_and_neg :args (@t274))
% 44.12/44.38  (step @p526 :rule resolution :premises (@p525 @p524) :args (true @t274))
% 44.12/44.38  (step @p527 :rule eq_resolve :premises (@p526 @p501))
% 44.12/44.38  (step @p528 :rule instantiate :premises (@p4) :args ((@list @t230 @t237)))
% 44.12/44.38  (step @p529 :rule cnf_or_pos :args (@t276))
% 44.12/44.38  (step @p530 :rule reordering :premises (@p529) :args ((or @t275 @t243 (not @t276))))
% 44.12/44.38  (step @p531 :rule cnf_or_pos :args (@t277))
% 44.12/44.38  (step @p532 :rule reordering :premises (@p531) :args ((or @t271 @t238 (not @t277))))
% 44.12/44.38  (step @p533 :rule eq-symm :args (@t237 @t230))
% 44.12/44.38  (step @p534 :rule refl :args (@t271))
% 44.12/44.38  (step @p535 :rule nary_cong :premises (@p534 @p533) :args (@t278))
% 44.12/44.38  (step @p536 :rule refl :args (@t275))
% 44.12/44.38  (step @p537 :rule cong :premises (@p536 @p535) :args (@t279))
% 44.12/44.38  (step @p538 :rule cong :premises (@p128 @p537) :args ((=> @t6 @t279)))
% 44.12/44.38  (assume-push @p738 @t6)
% 44.12/44.38  (step @p540 :rule instantiate :premises (@p1) :args ((@list @t237 @t230)))
% 44.12/44.38  (step-pop @p739 :rule scope :premises (@p540))
% 44.12/44.38  (step @p541 :rule process_scope :premises (@p739) :args (@t279))
% 44.12/44.38  (step @p543 :rule eq_resolve :premises (@p541 @p538))
% 44.12/44.38  (step @p544 :rule implies_elim :premises (@p543))
% 44.12/44.38  (step @p545 :rule chain_m_resolution :premises (@p544 @p1) :args (@t280 @t95 @t121))
% 44.12/44.38  (step @p546 :rule cnf_equiv_pos1 :args (@t280))
% 44.12/44.38  (step @p547 :rule reordering :premises (@p546) :args ((or (not @t275) @t277 (not @t280))))
% 44.12/44.38  (step @p548 :rule chain_m_resolution :premises (@p547 @p545 @p532 @p530 @p528 @p527 @p498 @p421 @p331 @p392 @p333) :args ((or @t232 @t241) (@list false true false false true true true true true true) (@list @t280 @t277 @t275 @t276 @t271 @t268 @t243 @t209 @t238 @t77)))
% 44.12/44.38  (step @p549 :rule bool-double-not-elim :args (@t240))
% 44.12/44.38  (step @p550 :rule refl :args (@t281))
% 44.12/44.38  (step @p551 :rule nary_cong :premises (@p550 @p549) :args ((or @t281 (not @t241))))
% 44.12/44.38  (step @p552 :rule cnf_or_neg :args (@t281 0))
% 44.12/44.38  (step @p553 :rule eq_resolve :premises (@p552 @p551))
% 44.12/44.38  (step @p554 :rule reordering :premises (@p553) :args ((or @t240 @t281)))
% 44.12/44.38  (step @p555 :rule refl :args (@t282))
% 44.12/44.38  (step @p556 :rule bool-double-not-elim :args (@t235))
% 44.12/44.38  (step @p557 :rule nary_cong :premises (@p556 @p555) :args ((or (not @t283) @t282)))
% 44.12/44.38  (assume-push @p740 @t283)
% 44.12/44.38  (step @p559 :rule skolemize :premises (@p740))
% 44.12/44.38  (step-pop @p741 :rule scope :premises (@p559))
% 44.12/44.38  (step @p560 :rule process_scope :premises (@p741) :args (@t282))
% 44.12/44.38  (step @p562 :rule implies_elim :premises (@p560))
% 44.12/44.38  (step @p563 :rule eq_resolve :premises (@p562 @p557))
% 44.12/44.38  (step @p564 :rule instantiate :premises (@p69) :args (@t284))
% 44.12/44.38  (step @p565 :rule cnf_equiv_pos1 :args (@t286))
% 44.12/44.38  (step @p566 :rule reordering :premises (@p565) :args ((or (not @t285) @t283 (not @t286))))
% 44.12/44.38  (step @p567 :rule instantiate :premises (@p1) :args (@t284))
% 44.12/44.38  (step @p568 :rule cnf_equiv_pos1 :args (@t289))
% 44.12/44.38  (step @p569 :rule reordering :premises (@p568) :args ((or @t80 @t288 (not @t289))))
% 44.12/44.38  (step @p570 :rule chain_m_resolution :premises (@p569 @p55 @p567) :args (@t288 @t97 (@list @t74 @t289)))
% 44.12/44.38  (step @p571 :rule cnf_or_pos :args (@t288))
% 44.12/44.38  (step @p572 :rule reordering :premises (@p571) :args ((or @t285 @t287 (not @t288))))
% 44.12/44.38  (step @p573 :rule instantiate :premises (@p69) :args ((@list tptp.int_zero @t73)))
% 44.12/44.38  (step @p574 :rule eq-symm :args (@t290 @t74))
% 44.12/44.38  (step @p575 :rule cong :premises (@p72 @p574) :args ((=> @t25 @t291)))
% 44.12/44.38  (assume-push @p742 @t25)
% 44.12/44.38  (step @p577 :rule instantiate :premises (@p10) :args ((@list @t73)))
% 44.12/44.38  (step-pop @p743 :rule scope :premises (@p577))
% 44.12/44.38  (step @p578 :rule process_scope :premises (@p743) :args (@t291))
% 44.12/44.38  (step @p580 :rule eq_resolve :premises (@p578 @p575))
% 44.12/44.38  (step @p581 :rule implies_elim :premises (@p580))
% 44.12/44.38  (step @p582 :rule chain_m_resolution :premises (@p581 @p10) :args (@t292 @t95 @t96))
% 44.12/44.38  (step @p583 :rule cnf_equiv_pos1 :args (@t292))
% 44.12/44.38  (step @p584 :rule reordering :premises (@p583) :args ((or @t80 @t290 (not @t292))))
% 44.12/44.38  (step @p585 :rule chain_m_resolution :premises (@p584 @p55 @p582) :args (@t290 @t97 (@list @t74 @t292)))
% 44.12/44.38  (step @p586 :rule cnf_equiv_pos1 :args (@t295))
% 44.12/44.38  (step @p587 :rule reordering :premises (@p586) :args ((or (not @t290) @t294 (not @t295))))
% 44.12/44.38  (step @p588 :rule chain_m_resolution :premises (@p587 @p585 @p573) :args (@t294 @t97 (@list @t290 @t295)))
% 44.12/44.38  (step @p589 :rule skolemize :premises (@p588))
% 44.12/44.38  (step @p590 :rule bool-double-not-elim :args (@t298))
% 44.12/44.38  (step @p591 :rule refl :args (@t300))
% 44.12/44.38  (step @p592 :rule nary_cong :premises (@p591 @p590) :args ((or @t300 (not @t299))))
% 44.12/44.38  (step @p593 :rule cnf_or_neg :args (@t300 0))
% 44.12/44.38  (step @p594 :rule eq_resolve :premises (@p593 @p592))
% 44.12/44.38  (step @p595 :rule reordering :premises (@p594) :args ((or @t298 @t300)))
% 44.12/44.38  (step @p596 :rule chain_m_resolution :premises (@p595 @p589) :args (@t298 @t86 (@list @t300)))
% 44.12/44.38  (step @p597 :rule instantiate :premises (@p6) :args ((@list tptp.int_zero @t296)))
% 44.12/44.38  (step @p598 :rule instantiate :premises (@p104) :args ((@list @t296)))
% 44.12/44.38  (step @p599 :rule refl :args (@t303))
% 44.12/44.38  (step @p600 :rule refl :args (@t305))
% 44.12/44.38  (step @p601 :rule refl :args (@t299))
% 44.12/44.38  (step @p602 :rule refl :args (@t306))
% 44.12/44.38  (step @p603 :rule refl :args (@t228))
% 44.12/44.38  (step @p604 :rule nary_cong :premises (@p603 @p602 @p601 @p600 @p599 @p500) :args ((or @t228 @t306 @t299 @t305 @t303 @t273)))
% 44.12/44.38  (assume-push @p744 @t221)
% 44.12/44.38  (assume-push @p745 @t287)
% 44.12/44.38  (assume-push @p746 @t298)
% 44.12/44.38  (assume-push @p747 @t304)
% 44.12/44.38  (assume-push @p748 @t302)
% 44.12/44.38  (assume-push @p749 @t270)
% 44.12/44.38  (step @p611 :rule evaluate :args (@t307))
% 44.12/44.38  (step @p612 :rule true_intro :premises (@p744))
% 44.12/44.38  (step @p300 :rule refl :args (@t75))
% 44.12/44.38  (step @p613 :rule symm :premises (@p745))
% 44.12/44.38  (step @p614 :rule symm :premises (@p596))
% 44.12/44.38  (step @p615 :rule symm :premises (@p597))
% 44.12/44.38  (step @p616 :rule trans :premises (@p598 @p615 @p614))
% 44.12/44.38  (step @p617 :rule trans :premises (@p616 @p613))
% 44.12/44.38  (step @p618 :rule cong :premises (@p617 @p300) :args ((tptp.int_less @t296 @t75)))
% 44.12/44.38  (step @p619 :rule symm :premises (@p616))
% 44.12/44.38  (step @p620 :rule cong :premises (@p619 @p300) :args (@t268))
% 44.12/44.38  (step @p621 :rule false_intro :premises (@p749))
% 44.12/44.38  (step @p622 :rule symm :premises (@p621))
% 44.12/44.38  (step @p623 :rule trans :premises (@p622 @p620 @p618 @p612))
% 44.12/44.38  (step @p624 false :rule eq_resolve :premises (@p623 @p611))
% 44.12/44.38  (step-pop @p750 :rule scope :premises (@p624))
% 44.12/44.38  (step-pop @p751 :rule scope :premises (@p750))
% 44.12/44.38  (step-pop @p752 :rule scope :premises (@p751))
% 44.12/44.38  (step-pop @p753 :rule scope :premises (@p752))
% 44.12/44.38  (step-pop @p754 :rule scope :premises (@p753))
% 44.12/44.38  (step-pop @p755 :rule scope :premises (@p754))
% 44.12/44.38  (step @p625 :rule process_scope :premises (@p755) :args (false))
% 44.12/44.38  (step @p632 :rule not_and :premises (@p625))
% 44.12/44.38  (step @p633 :rule eq_resolve :premises (@p632 @p604))
% 44.12/44.38  (step @p634 :rule chain_m_resolution :premises (@p633 @p498 @p598 @p597 @p596 @p572 @p570 @p566 @p564 @p563 @p554 @p548 @p361 @p355 @p346 @p344) :args (@t228 (@list true false false false false false true false false false true false true true false) (@list @t268 @t302 @t304 @t298 @t287 @t288 @t285 @t286 @t235 @t281 @t240 @t231 @t233 @t225 @t227)))
% 44.12/44.38  (step @p635 :rule cnf_or_pos :args (@t222))
% 44.12/44.38  (step @p636 :rule reordering :premises (@p635) :args ((or @t221 @t220 (not @t222))))
% 44.12/44.38  (step @p637 :rule chain_m_resolution :premises (@p636 @p634 @p343) :args (@t220 @t218 (@list @t221 @t222)))
% 44.12/44.38  (step @p638 :rule bool-double-not-elim :args (@t215))
% 44.12/44.38  (step @p639 :rule refl :args (@t310))
% 44.12/44.38  (step @p640 :rule refl :args (@t312))
% 44.12/44.38  (step @p641 :rule refl :args (@t106))
% 44.12/44.38  (step @p642 :rule refl :args (@t313))
% 44.12/44.38  (step @p643 :rule refl :args (@t80))
% 44.12/44.38  (step @p644 :rule nary_cong :premises (@p643 @p642 @p641 @p640 @p639 @p638) :args ((or @t80 @t313 @t106 @t312 @t310 (not @t217))))
% 44.12/44.38  (assume-push @p756 @t74)
% 44.12/44.38  (assume-push @p757 @t220)
% 44.12/44.38  (assume-push @p758 @t105)
% 44.12/44.38  (assume-push @p759 @t311)
% 44.12/44.38  (assume-push @p760 @t309)
% 44.12/44.38  (assume-push @p761 @t217)
% 44.12/44.38  (step @p611 :rule evaluate :args (@t307))
% 44.12/44.38  (step @p651 :rule true_intro :premises (@p55))
% 44.12/44.38  (step @p467 :rule refl :args (@t73))
% 44.12/44.38  (step @p652 :rule symm :premises (@p757))
% 44.12/44.38  (step @p653 :rule symm :premises (@p100))
% 44.12/44.38  (step @p654 :rule symm :premises (@p101))
% 44.12/44.38  (step @p655 :rule trans :premises (@p105 @p654 @p653))
% 44.12/44.38  (step @p656 :rule trans :premises (@p655 @p652))
% 44.12/44.38  (step @p657 :rule cong :premises (@p656 @p467) :args ((tptp.int_leq @t103 @t73)))
% 44.12/44.38  (step @p658 :rule symm :premises (@p655))
% 44.12/44.38  (step @p659 :rule cong :premises (@p658 @p467) :args (@t215))
% 44.12/44.38  (step @p660 :rule false_intro :premises (@p761))
% 44.12/44.38  (step @p661 :rule symm :premises (@p660))
% 44.12/44.38  (step @p662 :rule trans :premises (@p661 @p659 @p657 @p651))
% 44.12/44.38  (step @p663 false :rule eq_resolve :premises (@p662 @p611))
% 44.12/44.38  (step-pop @p762 :rule scope :premises (@p663))
% 44.12/44.38  (step-pop @p763 :rule scope :premises (@p762))
% 44.12/44.38  (step-pop @p764 :rule scope :premises (@p763))
% 44.12/44.38  (step-pop @p765 :rule scope :premises (@p764))
% 44.12/44.38  (step-pop @p766 :rule scope :premises (@p765))
% 44.12/44.38  (step-pop @p767 :rule scope :premises (@p766))
% 44.12/44.38  (step @p664 :rule process_scope :premises (@p767) :args (false))
% 44.12/44.38  (step @p671 :rule not_and :premises (@p664))
% 44.12/44.38  (step @p672 :rule eq_resolve :premises (@p671 @p644))
% 44.12/44.38  (step @p673 false :rule chain_m_resolution :premises (@p672 @p637 @p339 @p105 @p101 @p100 @p55) :args (false (@list false true false false false false) (@list @t220 @t215 @t309 @t311 @t105 @t74)))
% 44.12/44.38  )
% 44.12/44.38  % SZS output end Proof
% 44.12/44.38  % cvc5 exiting
%------------------------------------------------------------------------------