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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP094-1 : TPTP v9.2.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:19:45 AM UTC 2026

% Result   : Unsatisfiable 32.34s 32.53s
% Output   : Proof 32.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP094-1 : TPTP v9.2.1. Bugfixed v2.7.0.
% 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 : n019.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 00:48:19 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/15.93  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.73/21.96  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.73/27.98  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 32.34/32.53  % SZS status Unsatisfiable
% 32.34/32.53  % SZS output start Proof
% 32.34/32.54  (
% 32.34/32.54  (declare-sort $$unsorted 0)
% 32.34/32.54  (declare-const tptp.b1 $$unsorted)
% 32.34/32.54  (declare-const tptp.a2 $$unsorted)
% 32.34/32.54  (declare-const tptp.b3 $$unsorted)
% 32.34/32.54  (declare-const tptp.c3 $$unsorted)
% 32.34/32.54  (declare-const tptp.b4 $$unsorted)
% 32.34/32.54  (declare-const tptp.a4 $$unsorted)
% 32.34/32.54  (declare-const tptp.a3 $$unsorted)
% 32.34/32.54  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 32.34/32.54  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 32.34/32.54  (declare-const tptp.a1 $$unsorted)
% 32.34/32.54  (declare-const tptp.identity $$unsorted)
% 32.34/32.54  (declare-const tptp.b2 $$unsorted)
% 32.34/32.54  (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted))
% 32.34/32.54  (define @t1 () (@var "Z" $$unsorted))
% 32.34/32.54  (define @t2 () (@var "X" $$unsorted))
% 32.34/32.54  (define @t3 () (@var "Y" $$unsorted))
% 32.34/32.54  (define @t4 () (tptp.divide (tptp.divide tptp.identity (tptp.divide @t2 @t3)) (tptp.divide (tptp.divide @t3 @t1) @t2)))
% 32.34/32.54  (define @t5 () (forall (@list @t2 @t3 @t1) (= @t4 @t1)))
% 32.34/32.54  (define @t6 () (@list @t2))
% 32.34/32.54  (define @t7 () (tptp.multiply tptp.b4 tptp.a4))
% 32.34/32.54  (define @t8 () (tptp.multiply tptp.a4 tptp.b4))
% 32.34/32.54  (define @t9 () (= @t8 @t7))
% 32.34/32.54  (define @t10 () (not @t9))
% 32.34/32.54  (define @t11 () (tptp.multiply tptp.b3 tptp.c3))
% 32.34/32.54  (define @t12 () (tptp.multiply tptp.a3 @t11))
% 32.34/32.54  (define @t13 () (tptp.multiply tptp.a3 tptp.b3))
% 32.34/32.54  (define @t14 () (= (tptp.multiply @t13 tptp.c3) @t12))
% 32.34/32.54  (define @t15 () (not @t14))
% 32.34/32.54  (define @t16 () (tptp.inverse tptp.b2))
% 32.34/32.54  (define @t17 () (tptp.multiply @t16 tptp.b2))
% 32.34/32.54  (define @t18 () (tptp.multiply @t17 tptp.a2))
% 32.34/32.54  (define @t19 () (not (= @t18 tptp.a2)))
% 32.34/32.54  (define @t20 () (tptp.inverse tptp.b1))
% 32.34/32.54  (define @t21 () (tptp.inverse tptp.a1))
% 32.34/32.54  (define @t22 () (= (tptp.multiply @t21 tptp.a1) (tptp.multiply @t20 tptp.b1)))
% 32.34/32.54  (define @t23 () (not @t22))
% 32.34/32.54  (define @t24 () (or @t23 @t19 @t15 @t10))
% 32.34/32.54  (define @t25 () (@list tptp.b1))
% 32.34/32.54  (define @t26 () (@list tptp.a1))
% 32.34/32.54  (define @t27 () (tptp.divide tptp.a1 tptp.a1))
% 32.34/32.54  (define @t28 () (tptp.divide tptp.a2 tptp.a2))
% 32.34/32.54  (define @t29 () (tptp.divide @t28 tptp.a2))
% 32.34/32.54  (define @t30 () (tptp.divide tptp.b1 tptp.b1))
% 32.34/32.54  (define @t31 () (tptp.divide tptp.identity @t30))
% 32.34/32.54  (define @t32 () (tptp.divide tptp.identity @t28))
% 32.34/32.54  (define @t33 () (tptp.divide (tptp.divide tptp.a1 @t12) tptp.a1))
% 32.34/32.54  (define @t34 () (tptp.divide (tptp.divide tptp.b1 @t33) tptp.b1))
% 32.34/32.54  (define @t35 () (tptp.divide (tptp.divide @t34 @t12) @t31))
% 32.34/32.54  (define @t36 () (tptp.divide tptp.identity @t27))
% 32.34/32.54  (define @t37 () (tptp.divide @t12 @t12))
% 32.34/32.54  (define @t38 () (tptp.divide tptp.identity @t11))
% 32.34/32.54  (define @t39 () (tptp.divide tptp.a3 @t38))
% 32.34/32.54  (define @t40 () (tptp.divide @t39 tptp.identity))
% 32.34/32.54  (define @t41 () (tptp.divide @t12 tptp.a3))
% 32.34/32.54  (define @t42 () (tptp.divide tptp.identity tptp.c3))
% 32.34/32.54  (define @t43 () (tptp.divide (tptp.divide @t12 @t42) @t41))
% 32.34/32.54  (define @t44 () (tptp.divide tptp.a3 @t43))
% 32.34/32.54  (define @t45 () (tptp.divide tptp.a3 @t12))
% 32.34/32.54  (define @t46 () (tptp.divide @t45 @t44))
% 32.34/32.54  (define @t47 () (tptp.divide @t44 tptp.a3))
% 32.34/32.54  (define @t48 () (tptp.divide tptp.a3 tptp.a3))
% 32.34/32.54  (define @t49 () (tptp.divide tptp.identity @t48))
% 32.34/32.54  (define @t50 () (tptp.divide @t49 @t47))
% 32.34/32.54  (define @t51 () (tptp.divide @t41 @t12))
% 32.34/32.54  (define @t52 () (tptp.divide tptp.identity @t51))
% 32.34/32.54  (define @t53 () (tptp.divide tptp.a3 @t42))
% 32.34/32.54  (define @t54 () (tptp.divide @t53 tptp.identity))
% 32.34/32.54  (define @t55 () (tptp.divide @t48 tptp.a3))
% 32.34/32.54  (define @t56 () (tptp.divide tptp.a3 @t54))
% 32.34/32.54  (define @t57 () (tptp.divide @t56 tptp.a3))
% 32.34/32.54  (define @t58 () (tptp.divide @t54 @t46))
% 32.34/32.54  (define @t59 () (tptp.divide @t58 tptp.identity))
% 32.34/32.54  (define @t60 () (tptp.divide (tptp.divide @t42 @t44) tptp.b3))
% 32.34/32.54  (define @t61 () (tptp.divide tptp.identity tptp.a1))
% 32.34/32.54  (define @t62 () (tptp.divide (tptp.divide @t61 @t51) tptp.b3))
% 32.34/32.54  (define @t63 () (tptp.divide tptp.identity (tptp.divide tptp.b3 @t61)))
% 32.34/32.54  (define @t64 () (tptp.divide (tptp.divide @t62 @t42) @t63))
% 32.34/32.54  (define @t65 () (tptp.divide tptp.a3 @t64))
% 32.34/32.54  (define @t66 () (tptp.divide @t65 tptp.identity))
% 32.34/32.54  (define @t67 () (tptp.divide tptp.identity (tptp.divide tptp.identity tptp.a3)))
% 32.34/32.54  (define @t68 () (tptp.divide @t56 tptp.identity))
% 32.34/32.54  (define @t69 () (tptp.divide @t44 @t44))
% 32.34/32.54  (define @t70 () (tptp.divide tptp.identity @t54))
% 32.34/32.54  (define @t71 () (tptp.divide tptp.identity @t70))
% 32.34/32.54  (define @t72 () (tptp.divide tptp.identity @t41))
% 32.34/32.54  (define @t73 () (tptp.divide @t45 @t60))
% 32.34/32.54  (define @t74 () (tptp.divide @t73 tptp.identity))
% 32.34/32.54  (define @t75 () (tptp.divide @t30 @t12))
% 32.34/32.54  (define @t76 () (tptp.divide @t38 @t75))
% 32.34/32.54  (define @t77 () (tptp.divide @t75 tptp.identity))
% 32.34/32.54  (define @t78 () (tptp.divide tptp.identity @t77))
% 32.34/32.54  (define @t79 () (tptp.divide @t39 @t12))
% 32.34/32.54  (define @t80 () (tptp.divide tptp.identity tptp.b3))
% 32.34/32.54  (define @t81 () (tptp.divide tptp.b1 @t80))
% 32.34/32.54  (define @t82 () (tptp.divide tptp.identity @t45))
% 32.34/32.54  (define @t83 () (tptp.divide tptp.identity @t82))
% 32.34/32.54  (define @t84 () (tptp.divide @t81 tptp.b1))
% 32.34/32.54  (define @t85 () (tptp.divide (tptp.divide tptp.a3 @t80) @t44))
% 32.34/32.54  (define @t86 () (tptp.divide @t43 @t85))
% 32.34/32.54  (define @t87 () (tptp.divide @t86 @t60))
% 32.34/32.54  (define @t88 () (tptp.divide tptp.identity (tptp.divide @t60 @t43)))
% 32.34/32.54  (define @t89 () (= tptp.a2 @t18))
% 32.34/32.54  (define @t90 () (tptp.divide tptp.identity tptp.b4))
% 32.34/32.54  (define @t91 () (tptp.divide tptp.b1 @t90))
% 32.34/32.54  (define @t92 () (tptp.divide tptp.identity tptp.a4))
% 32.34/32.54  (define @t93 () (tptp.divide tptp.b1 @t92))
% 32.34/32.54  (define @t94 () (tptp.divide tptp.b1 tptp.b4))
% 32.34/32.54  (define @t95 () (tptp.divide @t93 @t93))
% 32.34/32.54  (define @t96 () (tptp.divide @t93 tptp.b1))
% 32.34/32.54  (define @t97 () (tptp.divide tptp.identity @t96))
% 32.34/32.54  (define @t98 () (tptp.divide @t95 @t90))
% 32.34/32.54  (define @t99 () (tptp.divide @t98 @t97))
% 32.34/32.54  (define @t100 () (tptp.divide tptp.a4 @t99))
% 32.34/32.54  (define @t101 () (tptp.divide @t100 tptp.identity))
% 32.34/32.54  (define @t102 () (tptp.divide tptp.identity @t92))
% 32.34/32.54  (define @t103 () (tptp.divide @t102 @t101))
% 32.34/32.54  (define @t104 () (= @t99 @t103))
% 32.34/32.54  (define @t105 () (not @t104))
% 32.34/32.54  (define @t106 () (tptp.divide @t97 @t95))
% 32.34/32.54  (define @t107 () (= @t90 (tptp.divide (tptp.divide tptp.identity @t106) @t99)))
% 32.34/32.54  (define @t108 () (not @t107))
% 32.34/32.54  (define @t109 () (tptp.divide @t30 tptp.a4))
% 32.34/32.54  (define @t110 () (tptp.divide @t109 tptp.identity))
% 32.34/32.54  (define @t111 () (tptp.divide tptp.identity @t31))
% 32.34/32.54  (define @t112 () (tptp.divide @t111 @t110))
% 32.34/32.54  (define @t113 () (= tptp.a4 @t112))
% 32.34/32.54  (define @t114 () (not @t113))
% 32.34/32.54  (define @t115 () (= tptp.b4 (tptp.divide @t111 (tptp.divide (tptp.divide @t30 tptp.b4) tptp.identity))))
% 32.34/32.54  (define @t116 () (not @t115))
% 32.34/32.54  (define @t117 () (tptp.divide @t93 @t94))
% 32.34/32.54  (define @t118 () (tptp.divide @t94 tptp.b1))
% 32.34/32.54  (define @t119 () (= @t92 (tptp.divide (tptp.divide tptp.identity @t118) @t117)))
% 32.34/32.54  (define @t120 () (not @t119))
% 32.34/32.54  (define @t121 () (= @t8 (tptp.divide tptp.a4 @t90)))
% 32.34/32.54  (define @t122 () (not @t121))
% 32.34/32.54  (define @t123 () (= @t7 (tptp.divide tptp.b4 @t92)))
% 32.34/32.54  (define @t124 () (not @t123))
% 32.34/32.54  (define @t125 () (= tptp.identity @t95))
% 32.34/32.54  (define @t126 () (not @t125))
% 32.34/32.54  (define @t127 () (= @t92 @t106))
% 32.34/32.54  (define @t128 () (not @t127))
% 32.34/32.54  (define @t129 () (tptp.divide @t31 @t96))
% 32.34/32.54  (define @t130 () (= @t92 @t129))
% 32.34/32.54  (define @t131 () (not @t130))
% 32.34/32.54  (define @t132 () (tptp.divide @t91 @t91))
% 32.34/32.54  (define @t133 () (= tptp.identity @t132))
% 32.34/32.54  (define @t134 () (not @t133))
% 32.34/32.54  (define @t135 () (tptp.divide @t91 tptp.b1))
% 32.34/32.54  (define @t136 () (tptp.divide (tptp.divide tptp.identity @t135) @t132))
% 32.34/32.54  (define @t137 () (= @t90 @t136))
% 32.34/32.54  (define @t138 () (not @t137))
% 32.34/32.54  (define @t139 () (tptp.divide @t31 @t118))
% 32.34/32.54  (define @t140 () (= tptp.b4 @t139))
% 32.34/32.54  (define @t141 () (not @t140))
% 32.34/32.54  (define @t142 () (tptp.divide @t31 @t135))
% 32.34/32.54  (define @t143 () (= @t90 @t142))
% 32.34/32.54  (define @t144 () (not @t143))
% 32.34/32.54  (define @t145 () (= tptp.identity (tptp.divide tptp.identity tptp.identity)))
% 32.34/32.54  (define @t146 () (not @t145))
% 32.34/32.54  (define @t147 () (= tptp.identity @t30))
% 32.34/32.54  (define @t148 () (not @t147))
% 32.34/32.54  (define @t149 () (= @t103 @t99))
% 32.34/32.54  (define @t150 () (not @t149))
% 32.34/32.54  (define @t151 () (tptp.divide tptp.identity @t90))
% 32.34/32.54  (define @t152 () (tptp.divide tptp.b4 @t117))
% 32.34/32.54  (define @t153 () (tptp.divide @t152 tptp.identity))
% 32.34/32.54  (define @t154 () (and @t104 @t105))
% 32.34/32.54  (assume @p1 @t5)
% 32.34/32.54  (assume @p2 (forall (@list @t2 @t3) (= (tptp.multiply @t2 @t3) (tptp.divide @t2 (tptp.divide tptp.identity @t3)))))
% 32.34/32.54  (assume @p3 (forall @t6 (= (tptp.inverse @t2) (tptp.divide tptp.identity @t2))))
% 32.34/32.54  (assume @p4 (forall @t6 (= tptp.identity (tptp.divide @t2 @t2))))
% 32.34/32.54  (assume @p5 @t24)
% 32.34/32.54  (step @p6 :rule instantiate :premises (@p4) :args (@t25))
% 32.34/32.54  (step @p7 :rule instantiate :premises (@p4) :args ((@list tptp.identity)))
% 32.34/32.54  (step @p8 :rule instantiate :premises (@p2) :args ((@list @t17 tptp.a2)))
% 32.34/32.54  (step @p9 :rule symm :premises (@p8))
% 32.34/32.54  (step @p10 :rule refl :args (tptp.a2))
% 32.34/32.54  (step @p11 :rule instantiate :premises (@p4) :args (@t26))
% 32.34/32.54  (step @p12 :rule symm :premises (@p11))
% 32.34/32.54  (step @p13 :rule cong :premises (@p12 @p10) :args ((tptp.divide @t27 tptp.a2)))
% 32.34/32.54  (step @p14 :rule instantiate :premises (@p4) :args ((@list tptp.a2)))
% 32.34/32.54  (step @p15 :rule symm :premises (@p14))
% 32.34/32.54  (step @p16 :rule trans :premises (@p15 @p11))
% 32.34/32.54  (step @p17 :rule cong :premises (@p16 @p10) :args (@t29))
% 32.34/32.54  (step @p18 :rule trans :premises (@p17 @p13))
% 32.34/32.54  (step @p19 :rule instantiate :premises (@p2) :args ((@list @t16 tptp.b2)))
% 32.34/32.54  (step @p20 :rule symm :premises (@p19))
% 32.34/32.54  (step @p21 :rule instantiate :premises (@p3) :args ((@list tptp.b2)))
% 32.34/32.54  (step @p22 :rule refl :args (@t16))
% 32.34/32.54  (step @p23 :rule cong :premises (@p22 @p21) :args ((tptp.divide @t16 @t16)))
% 32.34/32.54  (step @p24 :rule instantiate :premises (@p4) :args ((@list @t16)))
% 32.34/32.54  (step @p25 :rule trans :premises (@p24 @p23 @p20))
% 32.34/32.54  (step @p26 :rule symm :premises (@p7))
% 32.34/32.54  (step @p27 :rule symm :premises (@p6))
% 32.34/32.54  (step @p28 :rule refl :args (tptp.identity))
% 32.34/32.54  (step @p29 :rule cong :premises (@p28 @p27) :args (@t31))
% 32.34/32.54  (step @p30 :rule trans :premises (@p15 @p6))
% 32.34/32.54  (step @p31 :rule cong :premises (@p28 @p30) :args (@t32))
% 32.34/32.54  (step @p32 :rule trans :premises (@p31 @p29 @p26))
% 32.34/32.54  (step @p33 :rule trans :premises (@p32 @p25))
% 32.34/32.54  (step @p34 :rule cong :premises (@p33 @p18) :args ((tptp.divide @t32 @t29)))
% 32.34/32.54  (step @p35 :rule eq-symm :args (@t4 @t1))
% 32.34/32.54  (step @p36 :rule cong :premises (@p35) :args (@t5))
% 32.34/32.54  (step @p37 :rule eq_resolve :premises (@p1 @p36))
% 32.34/32.54  (step @p38 :rule instantiate :premises (@p37) :args ((@list tptp.a2 tptp.a2 tptp.a2)))
% 32.34/32.54  (step @p39 :rule trans :premises (@p38 @p34 @p9))
% 32.34/32.54  (step @p40 :rule instantiate :premises (@p37) :args ((@list @t31 @t34 @t12)))
% 32.34/32.54  (step @p41 :rule symm :premises (@p40))
% 32.34/32.54  (step @p42 :rule refl :args (@t35))
% 32.34/32.54  (step @p43 :rule instantiate :premises (@p37) :args ((@list tptp.b1 tptp.b1 @t33)))
% 32.34/32.54  (step @p44 :rule trans :premises (@p12 @p6))
% 32.34/32.54  (step @p45 :rule cong :premises (@p28 @p44) :args (@t36))
% 32.34/32.54  (step @p46 :rule trans :premises (@p45 @p29 @p26))
% 32.34/32.54  (step @p47 :rule cong :premises (@p46 @p43) :args ((tptp.divide @t36 @t33)))
% 32.34/32.54  (step @p48 :rule instantiate :premises (@p37) :args ((@list tptp.a1 tptp.a1 @t12)))
% 32.34/32.54  (step @p49 :rule trans :premises (@p48 @p47))
% 32.34/32.54  (step @p50 :rule cong :premises (@p49 @p42) :args ((tptp.divide @t12 @t35)))
% 32.34/32.54  (step @p51 :rule instantiate :premises (@p37) :args ((@list @t12 @t12 @t35)))
% 32.34/32.54  (step @p52 :rule symm :premises (@p51))
% 32.34/32.54  (step @p53 :rule refl :args (@t12))
% 32.34/32.54  (step @p54 :rule symm :premises (@p50))
% 32.34/32.54  (step @p55 :rule trans :premises (@p40 @p54))
% 32.34/32.54  (step @p56 :rule cong :premises (@p55 @p53) :args (@t37))
% 32.34/32.54  (step @p57 :rule instantiate :premises (@p4) :args ((@list @t12)))
% 32.34/32.54  (step @p58 :rule trans :premises (@p27 @p57 @p56))
% 32.34/32.54  (step @p59 :rule trans :premises (@p27 @p57))
% 32.34/32.54  (step @p60 :rule cong :premises (@p28 @p59) :args (@t31))
% 32.34/32.54  (step @p61 :rule symm :premises (@p29))
% 32.34/32.54  (step @p62 :rule trans :premises (@p7 @p61 @p60))
% 32.34/32.54  (step @p63 :rule cong :premises (@p62 @p58) :args (@t31))
% 32.34/32.54  (step @p64 :rule trans :premises (@p7 @p61 @p63 @p52))
% 32.34/32.54  (step @p65 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t11)))
% 32.34/32.54  (step @p66 :rule symm :premises (@p65))
% 32.34/32.54  (step @p67 :rule cong :premises (@p66 @p64) :args (@t40))
% 32.34/32.54  (step @p68 :rule instantiate :premises (@p37) :args ((@list @t44 tptp.a3 @t12)))
% 32.34/32.54  (step @p69 :rule symm :premises (@p68))
% 32.34/32.54  (step @p70 :rule refl :args (@t46))
% 32.34/32.54  (step @p71 :rule refl :args (@t47))
% 32.34/32.54  (step @p72 :rule instantiate :premises (@p4) :args ((@list tptp.a3)))
% 32.34/32.54  (step @p73 :rule symm :premises (@p72))
% 32.34/32.54  (step @p74 :rule trans :premises (@p73 @p6))
% 32.34/32.54  (step @p75 :rule cong :premises (@p28 @p74) :args (@t49))
% 32.34/32.54  (step @p76 :rule trans :premises (@p75 @p29 @p26))
% 32.34/32.54  (step @p77 :rule cong :premises (@p76 @p71) :args (@t50))
% 32.34/32.54  (step @p78 :rule refl :args (tptp.a3))
% 32.34/32.54  (step @p79 :rule refl :args (@t43))
% 32.34/32.54  (step @p80 :rule instantiate :premises (@p37) :args ((@list @t12 @t12 tptp.a3)))
% 32.34/32.54  (step @p81 :rule symm :premises (@p80))
% 32.34/32.54  (step @p82 :rule refl :args (@t51))
% 32.34/32.54  (step @p83 :rule cong :premises (@p62 @p82) :args (@t52))
% 32.34/32.54  (step @p84 :rule trans :premises (@p83 @p81))
% 32.34/32.54  (step @p85 :rule cong :premises (@p84 @p79) :args ((tptp.divide @t52 @t43)))
% 32.34/32.54  (step @p86 :rule instantiate :premises (@p37) :args ((@list @t41 @t12 @t42)))
% 32.34/32.54  (step @p87 :rule instantiate :premises (@p37) :args ((@list tptp.identity tptp.a3 @t42)))
% 32.34/32.54  (step @p88 :rule symm :premises (@p87))
% 32.34/32.54  (step @p89 :rule refl :args (@t54))
% 32.34/32.54  (step @p90 :rule cong :premises (@p73 @p78) :args (@t55))
% 32.34/32.54  (step @p91 :rule cong :premises (@p76 @p90) :args ((tptp.divide @t49 @t55)))
% 32.34/32.54  (step @p92 :rule instantiate :premises (@p37) :args ((@list tptp.a3 tptp.a3 tptp.a3)))
% 32.34/32.54  (step @p93 :rule trans :premises (@p92 @p91))
% 32.34/32.54  (step @p94 :rule cong :premises (@p93 @p89) :args (@t56))
% 32.34/32.54  (step @p95 :rule trans :premises (@p94 @p88 @p86 @p85))
% 32.34/32.54  (step @p96 :rule cong :premises (@p95 @p78) :args (@t57))
% 32.34/32.54  (step @p97 :rule refl :args (@t49))
% 32.34/32.54  (step @p98 :rule cong :premises (@p97 @p96) :args ((tptp.divide @t49 @t57)))
% 32.34/32.54  (step @p99 :rule instantiate :premises (@p37) :args ((@list tptp.a3 tptp.a3 @t54)))
% 32.34/32.54  (step @p100 :rule trans :premises (@p99 @p98 @p77))
% 32.34/32.54  (step @p101 :rule cong :premises (@p100 @p70) :args (@t58))
% 32.34/32.54  (step @p102 :rule trans :premises (@p101 @p69))
% 32.34/32.54  (step @p103 :rule trans :premises (@p102 @p65))
% 32.34/32.54  (step @p104 :rule cong :premises (@p103 @p28) :args (@t59))
% 32.34/32.54  (step @p105 :rule instantiate :premises (@p37) :args ((@list @t60 @t43 @t59)))
% 32.34/32.54  (step @p106 :rule symm :premises (@p105))
% 32.34/32.54  (step @p107 :rule refl :args (@t60))
% 32.34/32.54  (step @p108 :rule refl :args (@t59))
% 32.34/32.54  (step @p109 :rule instantiate :premises (@p37) :args ((@list tptp.a3 tptp.a3 @t43)))
% 32.34/32.54  (step @p110 :rule symm :premises (@p109))
% 32.34/32.54  (step @p111 :rule symm :premises (@p77))
% 32.34/32.54  (step @p112 :rule trans :premises (@p111 @p110))
% 32.34/32.54  (step @p113 :rule instantiate :premises (@p37) :args ((@list tptp.identity @t30 @t47)))
% 32.34/32.54  (step @p114 :rule symm :premises (@p113))
% 32.34/32.54  (step @p115 :rule trans :premises (@p76 @p6))
% 32.34/32.54  (step @p116 :rule cong :premises (@p115 @p71) :args (@t50))
% 32.34/32.54  (step @p117 :rule trans :premises (@p111 @p116))
% 32.34/32.54  (step @p118 :rule instantiate :premises (@p37) :args ((@list tptp.identity tptp.a3 @t54)))
% 32.34/32.54  (step @p119 :rule symm :premises (@p118))
% 32.34/32.54  (step @p120 :rule symm :premises (@p94))
% 32.34/32.54  (step @p121 :rule instantiate :premises (@p37) :args ((@list @t63 @t62 @t42)))
% 32.34/32.54  (step @p122 :rule symm :premises (@p121))
% 32.34/32.54  (step @p123 :rule refl :args (@t64))
% 32.34/32.54  (step @p124 :rule instantiate :premises (@p37) :args ((@list tptp.b3 @t61 @t51)))
% 32.34/32.54  (step @p125 :rule symm :premises (@p62))
% 32.34/32.54  (step @p126 :rule cong :premises (@p125 @p124) :args ((tptp.divide (tptp.divide tptp.identity @t37) @t51)))
% 32.34/32.54  (step @p127 :rule trans :premises (@p80 @p126))
% 32.34/32.54  (step @p128 :rule cong :premises (@p127 @p123) :args (@t65))
% 32.34/32.54  (step @p129 :rule trans :premises (@p128 @p122 @p87 @p120))
% 32.34/32.54  (step @p130 :rule cong :premises (@p129 @p28) :args (@t66))
% 32.34/32.54  (step @p131 :rule refl :args (@t67))
% 32.34/32.54  (step @p132 :rule cong :premises (@p131 @p130) :args ((tptp.divide @t67 @t66)))
% 32.34/32.54  (step @p133 :rule symm :premises (@p130))
% 32.34/32.54  (step @p134 :rule instantiate :premises (@p37) :args ((@list tptp.identity tptp.a3 @t68)))
% 32.34/32.54  (step @p135 :rule symm :premises (@p134))
% 32.34/32.54  (step @p136 :rule instantiate :premises (@p4) :args ((@list @t44)))
% 32.34/32.54  (step @p137 :rule symm :premises (@p136))
% 32.34/32.54  (step @p138 :rule refl :args (@t68))
% 32.34/32.54  (step @p139 :rule symm :premises (@p93))
% 32.34/32.54  (step @p140 :rule cong :premises (@p139 @p138) :args ((tptp.divide @t67 @t68)))
% 32.34/32.54  (step @p141 :rule symm :premises (@p99))
% 32.34/32.54  (step @p142 :rule symm :premises (@p98))
% 32.34/32.54  (step @p143 :rule trans :premises (@p111 @p142 @p141 @p118 @p140))
% 32.34/32.54  (step @p144 :rule cong :premises (@p143 @p137) :args ((tptp.divide (tptp.divide tptp.identity @t47) @t69)))
% 32.34/32.54  (step @p145 :rule instantiate :premises (@p37) :args ((@list @t44 tptp.a3 @t43)))
% 32.34/32.54  (step @p146 :rule trans :premises (@p99 @p98 @p110 @p145 @p144))
% 32.34/32.54  (step @p147 :rule cong :premises (@p93 @p146) :args (@t56))
% 32.34/32.54  (step @p148 :rule trans :premises (@p87 @p120 @p147 @p135 @p133))
% 32.34/32.54  (step @p149 :rule cong :premises (@p93 @p148) :args (@t53))
% 32.34/32.54  (step @p150 :rule trans :premises (@p149 @p132 @p119 @p99 @p98 @p77))
% 32.34/32.54  (step @p151 :rule trans :premises (@p150 @p117))
% 32.34/32.54  (step @p152 :rule cong :premises (@p151 @p28) :args (@t54))
% 32.34/32.54  (step @p153 :rule trans :premises (@p27 @p7 @p61))
% 32.34/32.54  (step @p154 :rule cong :premises (@p28 @p153) :args (@t31))
% 32.34/32.54  (step @p155 :rule trans :premises (@p7 @p61 @p154))
% 32.34/32.54  (step @p156 :rule cong :premises (@p155 @p152) :args (@t70))
% 32.34/32.54  (step @p157 :rule trans :premises (@p156 @p114))
% 32.34/32.54  (step @p158 :rule symm :premises (@p76))
% 32.34/32.54  (step @p159 :rule cong :premises (@p158 @p157) :args (@t71))
% 32.34/32.54  (step @p160 :rule trans :premises (@p159 @p77))
% 32.34/32.54  (step @p161 :rule trans :premises (@p160 @p112))
% 32.34/32.54  (step @p162 :rule cong :premises (@p161 @p108) :args ((tptp.divide @t71 @t59)))
% 32.34/32.54  (step @p163 :rule instantiate :premises (@p37) :args ((@list tptp.identity @t54 @t46)))
% 32.34/32.54  (step @p164 :rule symm :premises (@p147))
% 32.34/32.54  (step @p165 :rule symm :premises (@p86))
% 32.34/32.54  (step @p166 :rule symm :premises (@p85))
% 32.34/32.54  (step @p167 :rule instantiate :premises (@p37) :args ((@list tptp.b3 @t42 @t44)))
% 32.34/32.54  (step @p168 :rule symm :premises (@p167))
% 32.34/32.54  (step @p169 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3)))
% 32.34/32.54  (step @p170 :rule cong :premises (@p28 @p169) :args (@t38))
% 32.34/32.54  (step @p171 :rule instantiate :premises (@p37) :args ((@list tptp.a3 tptp.a3 @t38)))
% 32.34/32.54  (step @p172 :rule symm :premises (@p171))
% 32.34/32.54  (step @p173 :rule cong :premises (@p65 @p78) :args (@t41))
% 32.34/32.54  (step @p174 :rule cong :premises (@p158 @p173) :args (@t72))
% 32.34/32.54  (step @p175 :rule trans :premises (@p174 @p172 @p170))
% 32.34/32.54  (step @p176 :rule symm :premises (@p174))
% 32.34/32.54  (step @p177 :rule instantiate :premises (@p37) :args ((@list tptp.identity tptp.a3 @t38)))
% 32.34/32.54  (step @p178 :rule symm :premises (@p177))
% 32.34/32.54  (step @p179 :rule refl :args (@t40))
% 32.34/32.54  (step @p180 :rule cong :premises (@p93 @p179) :args ((tptp.divide tptp.a3 @t40)))
% 32.34/32.54  (step @p181 :rule symm :premises (@p67))
% 32.34/32.54  (step @p182 :rule trans :premises (@p40 @p54 @p181))
% 32.34/32.54  (step @p183 :rule cong :premises (@p78 @p182) :args (@t45))
% 32.34/32.54  (step @p184 :rule trans :premises (@p183 @p180 @p178 @p171 @p176))
% 32.34/32.54  (step @p185 :rule trans :premises (@p184 @p175))
% 32.34/32.54  (step @p186 :rule cong :premises (@p185 @p107) :args (@t73))
% 32.34/32.54  (step @p187 :rule trans :premises (@p186 @p168 @p166 @p165 @p87 @p120))
% 32.34/32.54  (step @p188 :rule cong :premises (@p187 @p28) :args (@t74))
% 32.34/32.54  (step @p189 :rule trans :premises (@p188 @p134 @p164 @p94 @p88 @p86 @p85))
% 32.34/32.54  (step @p190 :rule symm :premises (@p184))
% 32.34/32.54  (step @p191 :rule instantiate :premises (@p37) :args ((@list @t12 tptp.a3 tptp.a3)))
% 32.34/32.54  (step @p192 :rule symm :premises (@p191))
% 32.34/32.54  (step @p193 :rule cong :premises (@p72 @p53) :args ((tptp.divide tptp.identity @t12)))
% 32.34/32.54  (step @p194 :rule cong :premises (@p27 @p53) :args (@t75))
% 32.34/32.54  (step @p195 :rule trans :premises (@p194 @p193))
% 32.34/32.54  (step @p196 :rule trans :premises (@p171 @p176))
% 32.34/32.54  (step @p197 :rule cong :premises (@p196 @p195) :args (@t76))
% 32.34/32.54  (step @p198 :rule trans :premises (@p197 @p192))
% 32.34/32.54  (step @p199 :rule instantiate :premises (@p37) :args ((@list tptp.identity @t30 @t12)))
% 32.34/32.54  (step @p200 :rule symm :premises (@p199))
% 32.34/32.54  (step @p201 :rule refl :args (@t77))
% 32.34/32.54  (step @p202 :rule cong :premises (@p155 @p201) :args (@t78))
% 32.34/32.54  (step @p203 :rule trans :premises (@p202 @p200))
% 32.34/32.54  (step @p204 :rule cong :premises (@p203 @p198) :args ((tptp.divide @t78 @t76)))
% 32.34/32.54  (step @p205 :rule instantiate :premises (@p37) :args ((@list @t75 tptp.identity @t11)))
% 32.34/32.54  (step @p206 :rule instantiate :premises (@p37) :args ((@list tptp.identity @t30 @t11)))
% 32.34/32.54  (step @p207 :rule symm :premises (@p206))
% 32.34/32.54  (step @p208 :rule symm :premises (@p57))
% 32.34/32.54  (step @p209 :rule cong :premises (@p66 @p53) :args (@t79))
% 32.34/32.54  (step @p210 :rule trans :premises (@p209 @p208))
% 32.34/32.54  (step @p211 :rule refl :args (@t11))
% 32.34/32.54  (step @p212 :rule cong :premises (@p6 @p211) :args (@t38))
% 32.34/32.54  (step @p213 :rule trans :premises (@p174 @p172 @p212))
% 32.34/32.54  (step @p214 :rule cong :premises (@p213 @p210) :args ((tptp.divide @t72 @t79)))
% 32.34/32.54  (step @p215 :rule instantiate :premises (@p37) :args ((@list @t12 tptp.a3 @t38)))
% 32.34/32.54  (step @p216 :rule trans :premises (@p174 @p172 @p215 @p214))
% 32.34/32.54  (step @p217 :rule cong :premises (@p155 @p216) :args ((tptp.divide tptp.identity @t72)))
% 32.34/32.54  (step @p218 :rule instantiate :premises (@p4) :args ((@list @t81)))
% 32.34/32.54  (step @p219 :rule symm :premises (@p218))
% 32.34/32.54  (step @p220 :rule cong :premises (@p219 @p184) :args ((tptp.divide (tptp.divide @t81 @t81) @t45)))
% 32.34/32.54  (step @p221 :rule refl :args (@t45))
% 32.34/32.54  (step @p222 :rule cong :premises (@p218 @p221) :args (@t82))
% 32.34/32.54  (step @p223 :rule trans :premises (@p222 @p220 @p217 @p207 @p205 @p204))
% 32.34/32.54  (step @p224 :rule cong :premises (@p28 @p223) :args (@t83))
% 32.34/32.54  (step @p225 :rule trans :premises (@p224 @p190))
% 32.34/32.54  (step @p226 :rule cong :premises (@p225 @p189) :args ((tptp.divide @t83 @t74)))
% 32.34/32.54  (step @p227 :rule instantiate :premises (@p37) :args ((@list tptp.identity @t45 @t60)))
% 32.34/32.54  (step @p228 :rule refl :args (tptp.b3))
% 32.34/32.54  (step @p229 :rule refl :args (@t44))
% 32.34/32.54  (step @p230 :rule trans :premises (@p94 @p88))
% 32.34/32.54  (step @p231 :rule symm :premises (@p95))
% 32.34/32.54  (step @p232 :rule trans :premises (@p231 @p230))
% 32.34/32.54  (step @p233 :rule cong :premises (@p232 @p229) :args (@t69))
% 32.34/32.54  (step @p234 :rule trans :premises (@p136 @p233))
% 32.34/32.54  (step @p235 :rule cong :premises (@p234 @p228) :args (@t80))
% 32.34/32.54  (step @p236 :rule instantiate :premises (@p37) :args ((@list tptp.b1 tptp.b1 @t80)))
% 32.34/32.54  (step @p237 :rule symm :premises (@p236))
% 32.34/32.54  (step @p238 :rule refl :args (@t84))
% 32.34/32.54  (step @p239 :rule trans :premises (@p7 @p61))
% 32.34/32.54  (step @p240 :rule cong :premises (@p239 @p238) :args ((tptp.divide tptp.identity @t84)))
% 32.34/32.54  (step @p241 :rule trans :premises (@p240 @p237 @p235 @p227 @p226 @p163 @p162))
% 32.34/32.54  (step @p242 :rule symm :premises (@p240))
% 32.34/32.54  (step @p243 :rule instantiate :premises (@p37) :args ((@list @t44 tptp.a3 @t80)))
% 32.34/32.54  (step @p244 :rule symm :premises (@p243))
% 32.34/32.54  (step @p245 :rule refl :args (@t85))
% 32.34/32.54  (step @p246 :rule symm :premises (@p112))
% 32.34/32.54  (step @p247 :rule cong :premises (@p246 @p245) :args (@t86))
% 32.34/32.54  (step @p248 :rule trans :premises (@p247 @p244 @p236 @p242))
% 32.34/32.54  (step @p249 :rule trans :premises (@p248 @p241))
% 32.34/32.54  (step @p250 :rule cong :premises (@p249 @p107) :args (@t87))
% 32.34/32.54  (step @p251 :rule refl :args (@t88))
% 32.34/32.54  (step @p252 :rule cong :premises (@p251 @p250) :args ((tptp.divide @t88 @t87)))
% 32.34/32.54  (step @p253 :rule instantiate :premises (@p37) :args ((@list @t60 @t43 @t85)))
% 32.34/32.54  (step @p254 :rule symm :premises (@p232))
% 32.34/32.54  (step @p255 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3)))
% 32.34/32.54  (step @p256 :rule cong :premises (@p255 @p254) :args ((tptp.divide @t13 @t42)))
% 32.34/32.54  (step @p257 :rule instantiate :premises (@p2) :args ((@list @t13 tptp.c3)))
% 32.34/32.54  (step @p258 :rule trans :premises (@p257 @p256 @p253 @p252 @p106 @p104 @p67 @p50 @p41))
% 32.34/32.54  (step @p259 :rule instantiate :premises (@p2) :args ((@list @t20 tptp.b1)))
% 32.34/32.54  (step @p260 :rule symm :premises (@p259))
% 32.34/32.54  (step @p261 :rule instantiate :premises (@p3) :args (@t25))
% 32.34/32.54  (step @p262 :rule refl :args (@t20))
% 32.34/32.54  (step @p263 :rule cong :premises (@p262 @p261) :args ((tptp.divide @t20 @t20)))
% 32.34/32.54  (step @p264 :rule instantiate :premises (@p4) :args ((@list @t20)))
% 32.34/32.54  (step @p265 :rule instantiate :premises (@p4) :args ((@list @t21)))
% 32.34/32.54  (step @p266 :rule symm :premises (@p265))
% 32.34/32.54  (step @p267 :rule instantiate :premises (@p3) :args (@t26))
% 32.34/32.54  (step @p268 :rule symm :premises (@p267))
% 32.34/32.54  (step @p269 :rule refl :args (@t21))
% 32.34/32.54  (step @p270 :rule cong :premises (@p269 @p268) :args ((tptp.divide @t21 @t61)))
% 32.34/32.54  (step @p271 :rule instantiate :premises (@p2) :args ((@list @t21 tptp.a1)))
% 32.34/32.54  (step @p272 :rule trans :premises (@p271 @p270 @p266 @p264 @p263 @p260))
% 32.34/32.54  (step @p273 :rule refl :args (@t10))
% 32.34/32.54  (step @p274 :rule refl :args (@t15))
% 32.34/32.54  (step @p275 :rule eq-symm :args (@t18 tptp.a2))
% 32.34/32.54  (step @p276 :rule cong :premises (@p275) :args (@t19))
% 32.34/32.54  (step @p277 :rule refl :args (@t23))
% 32.34/32.54  (step @p278 :rule nary_cong :premises (@p277 @p276 @p274 @p273) :args (@t24))
% 32.34/32.54  (step @p279 :rule eq_resolve :premises (@p5 @p278))
% 32.34/32.54  (step @p280 :rule reordering :premises (@p279) :args ((or @t23 @t15 @t10 (not @t89))))
% 32.34/32.54  (step @p281 :rule chain_m_resolution :premises (@p280 @p272 @p258 @p39) :args (@t10 (@list false false false) (@list @t22 @t14 @t89)))
% 32.34/32.54  (step @p282 :rule instantiate :premises (@p37) :args ((@list tptp.b1 tptp.b1 @t90)))
% 32.34/32.54  (step @p283 :rule instantiate :premises (@p37) :args ((@list tptp.b1 tptp.b1 tptp.b4)))
% 32.34/32.54  (step @p284 :rule instantiate :premises (@p37) :args ((@list @t91 tptp.b1 @t90)))
% 32.34/32.54  (step @p285 :rule instantiate :premises (@p4) :args ((@list @t91)))
% 32.34/32.54  (step @p286 :rule instantiate :premises (@p37) :args ((@list tptp.b1 tptp.b1 @t92)))
% 32.34/32.54  (step @p287 :rule instantiate :premises (@p37) :args ((@list @t93 tptp.b1 @t92)))
% 32.34/32.54  (step @p288 :rule instantiate :premises (@p4) :args ((@list @t93)))
% 32.34/32.54  (step @p289 :rule instantiate :premises (@p2) :args ((@list tptp.b4 tptp.a4)))
% 32.34/32.54  (step @p290 :rule instantiate :premises (@p2) :args ((@list tptp.a4 tptp.b4)))
% 32.34/32.54  (step @p291 :rule instantiate :premises (@p37) :args ((@list @t94 tptp.b1 @t92)))
% 32.34/32.54  (step @p292 :rule instantiate :premises (@p37) :args ((@list tptp.identity @t30 tptp.b4)))
% 32.34/32.54  (step @p293 :rule instantiate :premises (@p37) :args ((@list tptp.identity @t30 tptp.a4)))
% 32.34/32.54  (step @p294 :rule instantiate :premises (@p37) :args ((@list @t97 @t95 @t90)))
% 32.34/32.54  (step @p295 :rule instantiate :premises (@p37) :args ((@list tptp.identity tptp.a4 @t99)))
% 32.34/32.54  (step @p296 :rule refl :args (@t105))
% 32.34/32.54  (step @p297 :rule refl :args (@t108))
% 32.34/32.54  (step @p298 :rule refl :args (@t114))
% 32.34/32.54  (step @p299 :rule refl :args (@t116))
% 32.34/32.54  (step @p300 :rule refl :args (@t120))
% 32.34/32.54  (step @p301 :rule refl :args (@t122))
% 32.34/32.54  (step @p302 :rule refl :args (@t124))
% 32.34/32.54  (step @p303 :rule refl :args (@t126))
% 32.34/32.54  (step @p304 :rule refl :args (@t128))
% 32.34/32.54  (step @p305 :rule refl :args (@t131))
% 32.34/32.54  (step @p306 :rule refl :args (@t134))
% 32.34/32.54  (step @p307 :rule refl :args (@t138))
% 32.34/32.54  (step @p308 :rule refl :args (@t141))
% 32.34/32.54  (step @p309 :rule refl :args (@t144))
% 32.34/32.54  (step @p310 :rule refl :args (@t146))
% 32.34/32.54  (step @p311 :rule refl :args (@t148))
% 32.34/32.54  (step @p312 :rule bool-double-not-elim :args (@t9))
% 32.34/32.54  (step @p313 :rule nary_cong :premises (@p312 @p311 @p310 @p309 @p308 @p307 @p306 @p305 @p304 @p303 @p302 @p301 @p300 @p299 @p298 @p297 @p296) :args ((or (not @t10) @t148 @t146 @t144 @t141 @t138 @t134 @t131 @t128 @t126 @t124 @t122 @t120 @t116 @t114 @t108 @t105)))
% 32.34/32.54  (assume-push @p439 @t104)
% 32.34/32.54  (assume-push @p440 @t105)
% 32.34/32.54  (step @p316 :rule evaluate :args ((= false true)))
% 32.34/32.54  (step @p317 :rule true_intro :premises (@p295))
% 32.34/32.54  (step @p318 :rule bool-eq-false :args (@t104))
% 32.34/32.54  (step @p319 :rule symm :premises (@p318))
% 32.34/32.54  (step @p320 :rule eq-symm :args (@t103 @t99))
% 32.34/32.54  (step @p321 :rule cong :premises (@p320) :args (@t150))
% 32.34/32.54  (step @p322 :rule bool-eq-false :args (@t149))
% 32.34/32.54  (step @p323 :rule trans :premises (@p322 @p321))
% 32.34/32.54  (step @p324 :rule trans :premises (@p323 @p319))
% 32.34/32.54  (step @p325 :rule false_intro :premises (@p281))
% 32.34/32.54  (step @p326 :rule symm :premises (@p289))
% 32.34/32.54  (step @p327 :rule symm :premises (@p286))
% 32.34/32.54  (step @p328 :rule refl :args (@t96))
% 32.34/32.54  (step @p329 :rule trans :premises (@p29 @p26))
% 32.34/32.54  (step @p330 :rule cong :premises (@p329 @p328) :args (@t129))
% 32.34/32.54  (step @p331 :rule symm :premises (@p330))
% 32.34/32.54  (step @p332 :rule trans :premises (@p331 @p327))
% 32.34/32.54  (step @p333 :rule symm :premises (@p292))
% 32.34/32.54  (step @p334 :rule symm :premises (@p285))
% 32.34/32.54  (step @p335 :rule refl :args (tptp.b4))
% 32.34/32.54  (step @p336 :rule cong :premises (@p6 @p335) :args (@t90))
% 32.34/32.54  (step @p337 :rule symm :premises (@p282))
% 32.34/32.54  (step @p338 :rule refl :args (@t135))
% 32.34/32.54  (step @p339 :rule cong :premises (@p329 @p338) :args (@t142))
% 32.34/32.54  (step @p340 :rule symm :premises (@p339))
% 32.34/32.54  (step @p341 :rule trans :premises (@p340 @p337 @p336))
% 32.34/32.54  (step @p342 :rule cong :premises (@p341 @p334) :args (@t136))
% 32.34/32.54  (step @p343 :rule trans :premises (@p284 @p342))
% 32.34/32.54  (step @p344 :rule cong :premises (@p155 @p343) :args (@t151))
% 32.34/32.54  (step @p345 :rule trans :premises (@p344 @p333))
% 32.34/32.54  (step @p346 :rule refl :args (@t90))
% 32.34/32.54  (step @p347 :rule symm :premises (@p288))
% 32.34/32.54  (step @p348 :rule cong :premises (@p347 @p346) :args (@t98))
% 32.34/32.54  (step @p349 :rule trans :premises (@p348 @p345))
% 32.34/32.54  (step @p350 :rule cong :premises (@p349 @p332) :args (@t99))
% 32.34/32.54  (step @p351 :rule trans :premises (@p350 @p326))
% 32.34/32.54  (step @p352 :rule symm :premises (@p290))
% 32.34/32.54  (step @p353 :rule symm :premises (@p284))
% 32.34/32.54  (step @p354 :rule symm :premises (@p294))
% 32.34/32.54  (step @p355 :rule refl :args (@t99))
% 32.34/32.54  (step @p356 :rule cong :premises (@p28 @p287) :args (@t102))
% 32.34/32.54  (step @p357 :rule symm :premises (@p287))
% 32.34/32.54  (step @p358 :rule symm :premises (@p291))
% 32.34/32.54  (step @p359 :rule refl :args (@t117))
% 32.34/32.54  (step @p360 :rule refl :args (@t118))
% 32.34/32.54  (step @p361 :rule cong :premises (@p329 @p360) :args (@t139))
% 32.34/32.54  (step @p362 :rule trans :premises (@p283 @p361))
% 32.34/32.54  (step @p363 :rule cong :premises (@p362 @p359) :args (@t152))
% 32.34/32.54  (step @p364 :rule trans :premises (@p363 @p358 @p286 @p330))
% 32.34/32.54  (step @p365 :rule cong :premises (@p364 @p288) :args (@t153))
% 32.34/32.54  (step @p366 :rule symm :premises (@p364))
% 32.34/32.54  (step @p367 :rule refl :args (tptp.a4))
% 32.34/32.54  (step @p368 :rule cong :premises (@p27 @p367) :args (@t109))
% 32.34/32.54  (step @p369 :rule trans :premises (@p368 @p286 @p330))
% 32.34/32.54  (step @p370 :rule trans :premises (@p369 @p366))
% 32.34/32.54  (step @p371 :rule cong :premises (@p370 @p28) :args (@t110))
% 32.34/32.54  (step @p372 :rule trans :premises (@p371 @p365 @p357))
% 32.34/32.54  (step @p373 :rule trans :premises (@p29 @p26 @p6))
% 32.34/32.54  (step @p374 :rule cong :premises (@p28 @p373) :args (@t111))
% 32.34/32.54  (step @p375 :rule trans :premises (@p374 @p29 @p26))
% 32.34/32.54  (step @p376 :rule cong :premises (@p375 @p372) :args (@t112))
% 32.34/32.54  (step @p377 :rule trans :premises (@p293 @p376 @p356))
% 32.34/32.54  (step @p378 :rule cong :premises (@p377 @p355) :args (@t100))
% 32.34/32.54  (step @p379 :rule trans :premises (@p378 @p354 @p282 @p339))
% 32.34/32.54  (step @p380 :rule cong :premises (@p379 @p285) :args (@t101))
% 32.34/32.54  (step @p381 :rule trans :premises (@p380 @p353))
% 32.34/32.54  (step @p382 :rule symm :premises (@p293))
% 32.34/32.54  (step @p383 :rule symm :premises (@p376))
% 32.34/32.54  (step @p384 :rule trans :premises (@p383 @p382))
% 32.34/32.54  (step @p385 :rule cong :premises (@p384 @p381) :args (@t103))
% 32.34/32.54  (step @p386 :rule trans :premises (@p385 @p352))
% 32.34/32.54  (step @p387 :rule cong :premises (@p386 @p351) :args (@t149))
% 32.34/32.54  (step @p388 :rule trans :premises (@p387 @p325))
% 32.34/32.54  (step @p389 :rule eq_resolve :premises (@p388 @p324))
% 32.34/32.54  (step @p390 :rule symm :premises (@p389))
% 32.34/32.54  (step @p391 :rule trans :premises (@p390 @p317))
% 32.34/32.54  (step @p392 false :rule eq_resolve :premises (@p391 @p316))
% 32.34/32.54  (step-pop @p441 :rule scope :premises (@p392))
% 32.34/32.54  (step-pop @p442 :rule scope :premises (@p441))
% 32.34/32.54  (step @p393 :rule process_scope :premises (@p442) :args (false))
% 32.34/32.54  (assume-push @p443 @t10)
% 32.34/32.54  (assume-push @p444 @t147)
% 32.34/32.54  (assume-push @p445 @t145)
% 32.34/32.54  (assume-push @p446 @t143)
% 32.34/32.54  (assume-push @p447 @t140)
% 32.34/32.54  (assume-push @p448 @t137)
% 32.34/32.54  (assume-push @p449 @t133)
% 32.34/32.54  (assume-push @p450 @t130)
% 32.34/32.54  (assume-push @p451 @t127)
% 32.34/32.54  (assume-push @p452 @t125)
% 32.34/32.54  (assume-push @p453 @t123)
% 32.34/32.54  (assume-push @p454 @t121)
% 32.34/32.54  (assume-push @p455 @t119)
% 32.34/32.54  (assume-push @p456 @t115)
% 32.34/32.54  (assume-push @p457 @t113)
% 32.34/32.54  (assume-push @p458 @t107)
% 32.34/32.54  (assume-push @p459 @t104)
% 32.34/32.54  (step @p318 :rule bool-eq-false :args (@t104))
% 32.34/32.54  (step @p319 :rule symm :premises (@p318))
% 32.34/32.54  (step @p320 :rule eq-symm :args (@t103 @t99))
% 32.34/32.54  (step @p321 :rule cong :premises (@p320) :args (@t150))
% 32.34/32.54  (step @p322 :rule bool-eq-false :args (@t149))
% 32.34/32.54  (step @p323 :rule trans :premises (@p322 @p321))
% 32.34/32.54  (step @p324 :rule trans :premises (@p323 @p319))
% 32.34/32.54  (step @p325 :rule false_intro :premises (@p281))
% 32.34/32.54  (step @p326 :rule symm :premises (@p289))
% 32.34/32.54  (step @p327 :rule symm :premises (@p286))
% 32.34/32.54  (step @p328 :rule refl :args (@t96))
% 32.34/32.54  (step @p329 :rule trans :premises (@p29 @p26))
% 32.34/32.54  (step @p330 :rule cong :premises (@p329 @p328) :args (@t129))
% 32.34/32.54  (step @p331 :rule symm :premises (@p330))
% 32.34/32.54  (step @p332 :rule trans :premises (@p331 @p327))
% 32.34/32.54  (step @p333 :rule symm :premises (@p292))
% 32.34/32.54  (step @p334 :rule symm :premises (@p285))
% 32.34/32.54  (step @p335 :rule refl :args (tptp.b4))
% 32.34/32.54  (step @p336 :rule cong :premises (@p6 @p335) :args (@t90))
% 32.34/32.54  (step @p337 :rule symm :premises (@p282))
% 32.34/32.54  (step @p338 :rule refl :args (@t135))
% 32.34/32.54  (step @p339 :rule cong :premises (@p329 @p338) :args (@t142))
% 32.34/32.54  (step @p340 :rule symm :premises (@p339))
% 32.34/32.54  (step @p341 :rule trans :premises (@p340 @p337 @p336))
% 32.34/32.54  (step @p342 :rule cong :premises (@p341 @p334) :args (@t136))
% 32.34/32.54  (step @p343 :rule trans :premises (@p284 @p342))
% 32.34/32.54  (step @p344 :rule cong :premises (@p155 @p343) :args (@t151))
% 32.34/32.54  (step @p345 :rule trans :premises (@p344 @p333))
% 32.34/32.54  (step @p346 :rule refl :args (@t90))
% 32.34/32.54  (step @p347 :rule symm :premises (@p288))
% 32.34/32.54  (step @p348 :rule cong :premises (@p347 @p346) :args (@t98))
% 32.34/32.54  (step @p349 :rule trans :premises (@p348 @p345))
% 32.34/32.54  (step @p350 :rule cong :premises (@p349 @p332) :args (@t99))
% 32.34/32.54  (step @p351 :rule trans :premises (@p350 @p326))
% 32.34/32.54  (step @p352 :rule symm :premises (@p290))
% 32.34/32.54  (step @p353 :rule symm :premises (@p284))
% 32.34/32.54  (step @p354 :rule symm :premises (@p294))
% 32.34/32.54  (step @p355 :rule refl :args (@t99))
% 32.34/32.54  (step @p356 :rule cong :premises (@p28 @p287) :args (@t102))
% 32.34/32.54  (step @p357 :rule symm :premises (@p287))
% 32.34/32.54  (step @p358 :rule symm :premises (@p291))
% 32.34/32.54  (step @p359 :rule refl :args (@t117))
% 32.34/32.54  (step @p360 :rule refl :args (@t118))
% 32.34/32.54  (step @p361 :rule cong :premises (@p329 @p360) :args (@t139))
% 32.34/32.54  (step @p362 :rule trans :premises (@p283 @p361))
% 32.34/32.54  (step @p363 :rule cong :premises (@p362 @p359) :args (@t152))
% 32.34/32.54  (step @p364 :rule trans :premises (@p363 @p358 @p286 @p330))
% 32.34/32.54  (step @p365 :rule cong :premises (@p364 @p288) :args (@t153))
% 32.34/32.54  (step @p366 :rule symm :premises (@p364))
% 32.34/32.54  (step @p367 :rule refl :args (tptp.a4))
% 32.34/32.54  (step @p368 :rule cong :premises (@p27 @p367) :args (@t109))
% 32.34/32.54  (step @p369 :rule trans :premises (@p368 @p286 @p330))
% 32.34/32.54  (step @p370 :rule trans :premises (@p369 @p366))
% 32.34/32.54  (step @p371 :rule cong :premises (@p370 @p28) :args (@t110))
% 32.34/32.54  (step @p372 :rule trans :premises (@p371 @p365 @p357))
% 32.34/32.54  (step @p373 :rule trans :premises (@p29 @p26 @p6))
% 32.34/32.54  (step @p374 :rule cong :premises (@p28 @p373) :args (@t111))
% 32.34/32.54  (step @p375 :rule trans :premises (@p374 @p29 @p26))
% 32.34/32.54  (step @p376 :rule cong :premises (@p375 @p372) :args (@t112))
% 32.34/32.54  (step @p377 :rule trans :premises (@p293 @p376 @p356))
% 32.34/32.54  (step @p378 :rule cong :premises (@p377 @p355) :args (@t100))
% 32.34/32.54  (step @p379 :rule trans :premises (@p378 @p354 @p282 @p339))
% 32.34/32.54  (step @p380 :rule cong :premises (@p379 @p285) :args (@t101))
% 32.34/32.54  (step @p381 :rule trans :premises (@p380 @p353))
% 32.34/32.54  (step @p382 :rule symm :premises (@p293))
% 32.34/32.54  (step @p383 :rule symm :premises (@p376))
% 32.34/32.54  (step @p384 :rule trans :premises (@p383 @p382))
% 32.34/32.54  (step @p385 :rule cong :premises (@p384 @p381) :args (@t103))
% 32.34/32.54  (step @p386 :rule trans :premises (@p385 @p352))
% 32.34/32.54  (step @p387 :rule cong :premises (@p386 @p351) :args (@t149))
% 32.34/32.54  (step @p388 :rule trans :premises (@p387 @p325))
% 32.34/32.54  (step @p413 :rule eq_resolve :premises (@p388 @p324))
% 32.34/32.54  (step @p414 :rule false_elim :premises (@p413))
% 32.34/32.54  (step @p415 :rule and_intro :premises (@p295 @p414))
% 32.34/32.54  (step-pop @p460 :rule scope :premises (@p415))
% 32.34/32.54  (step-pop @p461 :rule scope :premises (@p460))
% 32.34/32.54  (step-pop @p462 :rule scope :premises (@p461))
% 32.34/32.54  (step-pop @p463 :rule scope :premises (@p462))
% 32.34/32.54  (step-pop @p464 :rule scope :premises (@p463))
% 32.34/32.54  (step-pop @p465 :rule scope :premises (@p464))
% 32.34/32.54  (step-pop @p466 :rule scope :premises (@p465))
% 32.34/32.54  (step-pop @p467 :rule scope :premises (@p466))
% 32.34/32.54  (step-pop @p468 :rule scope :premises (@p467))
% 32.34/32.54  (step-pop @p469 :rule scope :premises (@p468))
% 32.34/32.54  (step-pop @p470 :rule scope :premises (@p469))
% 32.34/32.54  (step-pop @p471 :rule scope :premises (@p470))
% 32.34/32.54  (step-pop @p472 :rule scope :premises (@p471))
% 32.34/32.54  (step-pop @p473 :rule scope :premises (@p472))
% 32.34/32.54  (step-pop @p474 :rule scope :premises (@p473))
% 32.34/32.54  (step-pop @p475 :rule scope :premises (@p474))
% 32.34/32.54  (step-pop @p476 :rule scope :premises (@p475))
% 32.34/32.54  (step @p416 :rule process_scope :premises (@p476) :args (@t154))
% 32.34/32.54  (step @p434 :rule implies_elim :premises (@p416))
% 32.34/32.54  (step @p435 :rule resolution :premises (@p434 @p393) :args (true @t154))
% 32.34/32.54  (step @p436 :rule not_and :premises (@p435))
% 32.34/32.54  (step @p437 :rule eq_resolve :premises (@p436 @p313))
% 32.34/32.54  (step @p438 false :rule chain_m_resolution :premises (@p437 @p295 @p294 @p293 @p292 @p291 @p290 @p289 @p288 @p287 @p286 @p285 @p284 @p283 @p282 @p281 @p7 @p6) :args (false (@list false false false false false false false false false false false false false false true false false) (@list @t104 @t107 @t113 @t115 @t119 @t121 @t123 @t125 @t127 @t130 @t133 @t137 @t140 @t143 @t9 @t145 @t147)))
% 32.34/32.54  )
% 32.34/32.55  % SZS output end Proof
% 32.34/32.55  % cvc5 exiting
%------------------------------------------------------------------------------