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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP572-1 : TPTP v9.2.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 08:20:57 AM UTC 2026

% Result   : Unsatisfiable 0.49s 0.71s
% Output   : Proof 0.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP572-1 : TPTP v9.2.1. Bugfixed v2.7.0.
% 0.10/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n026.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 01:17:40 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.24/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.49/0.71  % SZS status Unsatisfiable
% 0.49/0.71  % SZS output start Proof
% 0.49/0.72  (
% 0.49/0.72  (declare-sort $$unsorted 0)
% 0.49/0.72  (declare-const tptp.b $$unsorted)
% 0.49/0.72  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.49/0.72  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.49/0.72  (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted))
% 0.49/0.72  (declare-const tptp.a $$unsorted)
% 0.49/0.72  (declare-const tptp.identity $$unsorted)
% 0.49/0.72  (define @t1 () (@var "B" $$unsorted))
% 0.49/0.72  (define @t2 () (tptp.double_divide tptp.identity tptp.identity))
% 0.49/0.72  (define @t3 () (@var "C" $$unsorted))
% 0.49/0.72  (define @t4 () (@var "A" $$unsorted))
% 0.49/0.72  (define @t5 () (tptp.double_divide (tptp.double_divide @t4 (tptp.double_divide (tptp.double_divide @t1 (tptp.double_divide @t4 @t3)) (tptp.double_divide @t3 tptp.identity))) @t2))
% 0.49/0.72  (define @t6 () (forall (@list @t4 @t1 @t3) (= @t5 @t1)))
% 0.49/0.72  (define @t7 () (tptp.inverse @t4))
% 0.49/0.72  (define @t8 () (@list @t4))
% 0.49/0.72  (define @t9 () (forall @t8 (= @t7 (tptp.double_divide @t4 tptp.identity))))
% 0.49/0.72  (define @t10 () (tptp.multiply tptp.b tptp.a))
% 0.49/0.72  (define @t11 () (tptp.multiply tptp.a tptp.b))
% 0.49/0.72  (define @t12 () (= @t11 @t10))
% 0.49/0.72  (define @t13 () (tptp.double_divide tptp.b tptp.a))
% 0.49/0.72  (define @t14 () (tptp.inverse @t13))
% 0.49/0.72  (define @t15 () (tptp.double_divide @t13 tptp.identity))
% 0.49/0.72  (define @t16 () (= @t14 @t15))
% 0.49/0.72  (define @t17 () (@list @t13))
% 0.49/0.72  (define @t18 () (= @t15 @t14))
% 0.49/0.72  (define @t19 () (@list false))
% 0.49/0.72  (define @t20 () (@list @t9))
% 0.49/0.72  (define @t21 () (tptp.double_divide tptp.a tptp.b))
% 0.49/0.72  (define @t22 () (tptp.inverse @t21))
% 0.49/0.72  (define @t23 () (tptp.double_divide @t21 tptp.identity))
% 0.49/0.72  (define @t24 () (= @t22 @t23))
% 0.49/0.72  (define @t25 () (@list @t21))
% 0.49/0.72  (define @t26 () (= @t23 @t22))
% 0.49/0.72  (define @t27 () (tptp.inverse @t23))
% 0.49/0.72  (define @t28 () (tptp.double_divide @t23 tptp.identity))
% 0.49/0.72  (define @t29 () (= @t27 @t28))
% 0.49/0.72  (define @t30 () (@list @t23))
% 0.49/0.72  (define @t31 () (= @t28 @t27))
% 0.49/0.72  (define @t32 () (tptp.inverse @t28))
% 0.49/0.72  (define @t33 () (tptp.double_divide @t28 tptp.identity))
% 0.49/0.72  (define @t34 () (= @t32 @t33))
% 0.49/0.72  (define @t35 () (@list @t28))
% 0.49/0.72  (define @t36 () (= @t33 @t32))
% 0.49/0.72  (define @t37 () (tptp.double_divide @t22 tptp.identity))
% 0.49/0.72  (define @t38 () (tptp.double_divide @t21 @t22))
% 0.49/0.72  (define @t39 () (tptp.double_divide @t21 @t38))
% 0.49/0.72  (define @t40 () (tptp.double_divide @t39 @t37))
% 0.49/0.72  (define @t41 () (tptp.double_divide @t21 @t40))
% 0.49/0.72  (define @t42 () (tptp.double_divide @t23 @t38))
% 0.49/0.72  (define @t43 () (tptp.double_divide @t42 @t37))
% 0.49/0.72  (define @t44 () (tptp.double_divide @t21 @t43))
% 0.49/0.72  (define @t45 () (tptp.double_divide @t13 @t15))
% 0.49/0.72  (define @t46 () (tptp.inverse tptp.identity))
% 0.49/0.72  (define @t47 () (= @t46 @t2))
% 0.49/0.72  (define @t48 () (@list tptp.identity))
% 0.49/0.72  (define @t49 () (= @t2 @t46))
% 0.49/0.72  (define @t50 () (tptp.double_divide @t37 tptp.identity))
% 0.49/0.72  (define @t51 () (tptp.double_divide @t39 (tptp.double_divide @t41 @t50)))
% 0.49/0.72  (define @t52 () (tptp.double_divide (tptp.double_divide @t23 @t40) @t50))
% 0.49/0.72  (define @t53 () (tptp.double_divide @t39 @t52))
% 0.49/0.72  (define @t54 () (tptp.double_divide @t28 @t40))
% 0.49/0.72  (define @t55 () (tptp.double_divide @t54 @t50))
% 0.49/0.72  (define @t56 () (tptp.double_divide @t39 @t55))
% 0.49/0.72  (define @t57 () (tptp.double_divide @t39 (tptp.double_divide (tptp.double_divide tptp.identity @t40) @t50)))
% 0.49/0.72  (define @t58 () (tptp.double_divide @t42 (tptp.double_divide @t44 @t50)))
% 0.49/0.72  (define @t59 () (tptp.double_divide @t44 @t2))
% 0.49/0.72  (define @t60 () (tptp.double_divide tptp.identity (tptp.double_divide @t59 @t2)))
% 0.49/0.72  (define @t61 () (tptp.double_divide @t45 @t2))
% 0.49/0.72  (define @t62 () (tptp.double_divide @t61 @t2))
% 0.49/0.72  (define @t63 () (tptp.double_divide tptp.identity @t62))
% 0.49/0.72  (define @t64 () (tptp.inverse @t2))
% 0.49/0.72  (define @t65 () (tptp.double_divide @t2 tptp.identity))
% 0.49/0.72  (define @t66 () (= @t64 @t65))
% 0.49/0.72  (define @t67 () (= @t65 @t64))
% 0.49/0.72  (define @t68 () (tptp.double_divide tptp.identity @t21))
% 0.49/0.72  (define @t69 () (tptp.double_divide @t68 (tptp.double_divide tptp.b tptp.identity)))
% 0.49/0.72  (define @t70 () (tptp.double_divide tptp.a @t69))
% 0.49/0.72  (define @t71 () (tptp.inverse @t43))
% 0.49/0.72  (define @t72 () (tptp.double_divide @t69 @t2))
% 0.49/0.72  (define @t73 () (tptp.double_divide @t43 (tptp.double_divide (tptp.double_divide @t69 (tptp.double_divide @t43 @t71)) (tptp.double_divide @t71 tptp.identity))))
% 0.49/0.72  (define @t74 () (= @t10 @t23))
% 0.49/0.72  (define @t75 () (= tptp.identity (tptp.double_divide @t13 @t14)))
% 0.49/0.72  (define @t76 () (= tptp.identity @t38))
% 0.49/0.72  (define @t77 () (tptp.double_divide @t41 @t2))
% 0.49/0.72  (define @t78 () (= @t21 @t77))
% 0.49/0.72  (define @t79 () (= @t23 @t59))
% 0.49/0.72  (define @t80 () (tptp.double_divide @t28 @t38))
% 0.49/0.72  (define @t81 () (tptp.double_divide (tptp.double_divide @t21 (tptp.double_divide @t80 @t37)) @t2))
% 0.49/0.72  (define @t82 () (= @t28 @t81))
% 0.49/0.72  (define @t83 () (tptp.double_divide @t21 @t23))
% 0.49/0.72  (define @t84 () (tptp.double_divide @t83 @t2))
% 0.49/0.72  (define @t85 () (tptp.double_divide (tptp.double_divide @t21 @t84) @t2))
% 0.49/0.72  (define @t86 () (= @t21 @t85))
% 0.49/0.72  (define @t87 () (= tptp.identity (tptp.double_divide @t23 @t27)))
% 0.49/0.72  (define @t88 () (tptp.double_divide @t51 @t2))
% 0.49/0.72  (define @t89 () (= @t21 @t88))
% 0.49/0.72  (define @t90 () (tptp.double_divide @t53 @t2))
% 0.49/0.72  (define @t91 () (= @t23 @t90))
% 0.49/0.72  (define @t92 () (tptp.double_divide @t56 @t2))
% 0.49/0.72  (define @t93 () (= @t28 @t92))
% 0.49/0.72  (define @t94 () (tptp.double_divide @t57 @t2))
% 0.49/0.72  (define @t95 () (= tptp.identity @t94))
% 0.49/0.72  (define @t96 () (= @t41 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t77 @t2)) @t2)))
% 0.49/0.72  (define @t97 () (tptp.double_divide @t58 @t2))
% 0.49/0.72  (define @t98 () (= @t21 @t97))
% 0.49/0.72  (define @t99 () (tptp.double_divide @t60 @t2))
% 0.49/0.72  (define @t100 () (= @t44 @t99))
% 0.49/0.72  (define @t101 () (tptp.double_divide @t63 @t2))
% 0.49/0.72  (define @t102 () (= @t45 @t101))
% 0.49/0.72  (define @t103 () (tptp.double_divide (tptp.double_divide @t39 (tptp.double_divide (tptp.double_divide @t33 @t40) @t50)) @t2))
% 0.49/0.72  (define @t104 () (= @t33 @t103))
% 0.49/0.72  (define @t105 () (tptp.double_divide @t28 @t32))
% 0.49/0.72  (define @t106 () (= tptp.identity @t105))
% 0.49/0.72  (define @t107 () (tptp.double_divide @t88 @t2))
% 0.49/0.72  (define @t108 () (tptp.double_divide tptp.identity @t107))
% 0.49/0.72  (define @t109 () (tptp.double_divide @t108 @t2))
% 0.49/0.72  (define @t110 () (= @t51 @t109))
% 0.49/0.72  (define @t111 () (tptp.double_divide @t90 @t2))
% 0.49/0.72  (define @t112 () (tptp.double_divide tptp.identity @t111))
% 0.49/0.72  (define @t113 () (tptp.double_divide @t112 @t2))
% 0.49/0.72  (define @t114 () (= @t53 @t113))
% 0.49/0.72  (define @t115 () (= @t56 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t92 @t2)) @t2)))
% 0.49/0.72  (define @t116 () (tptp.double_divide @t94 @t2))
% 0.49/0.72  (define @t117 () (tptp.double_divide tptp.identity @t116))
% 0.49/0.72  (define @t118 () (tptp.double_divide @t117 @t2))
% 0.49/0.72  (define @t119 () (= @t57 @t118))
% 0.49/0.72  (define @t120 () (tptp.double_divide @t97 @t2))
% 0.49/0.72  (define @t121 () (tptp.double_divide tptp.identity @t120))
% 0.49/0.72  (define @t122 () (tptp.double_divide @t121 @t2))
% 0.49/0.72  (define @t123 () (= @t58 @t122))
% 0.49/0.72  (define @t124 () (tptp.double_divide @t70 @t2))
% 0.49/0.72  (define @t125 () (= tptp.identity @t124))
% 0.49/0.72  (define @t126 () (tptp.double_divide @t99 @t2))
% 0.49/0.72  (define @t127 () (tptp.double_divide tptp.identity @t126))
% 0.49/0.72  (define @t128 () (tptp.double_divide @t127 @t2))
% 0.49/0.72  (define @t129 () (= @t60 @t128))
% 0.49/0.72  (define @t130 () (= @t63 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t101 @t2)) @t2)))
% 0.49/0.72  (define @t131 () (= tptp.identity (tptp.double_divide tptp.identity @t46)))
% 0.49/0.72  (define @t132 () (tptp.double_divide tptp.b @t72))
% 0.49/0.72  (define @t133 () (= @t68 (tptp.double_divide @t132 @t2)))
% 0.49/0.72  (define @t134 () (tptp.double_divide @t124 @t2))
% 0.49/0.72  (define @t135 () (tptp.double_divide tptp.identity @t134))
% 0.49/0.72  (define @t136 () (tptp.double_divide @t135 @t2))
% 0.49/0.72  (define @t137 () (= @t70 @t136))
% 0.49/0.72  (define @t138 () (tptp.double_divide @t73 @t2))
% 0.49/0.72  (define @t139 () (= @t69 @t138))
% 0.49/0.72  (define @t140 () (tptp.double_divide @t132 tptp.identity))
% 0.49/0.72  (define @t141 () (= (tptp.multiply @t72 tptp.b) @t140))
% 0.49/0.72  (define @t142 () (tptp.double_divide tptp.a @t138))
% 0.49/0.72  (define @t143 () (tptp.double_divide @t142 @t65))
% 0.49/0.72  (define @t144 () (tptp.double_divide @t73 @t143))
% 0.49/0.72  (define @t145 () (tptp.double_divide @t144 @t2))
% 0.49/0.72  (define @t146 () (= tptp.a @t145))
% 0.49/0.72  (define @t147 () (tptp.double_divide @t85 @t2))
% 0.49/0.72  (define @t148 () (tptp.double_divide tptp.identity @t147))
% 0.49/0.72  (define @t149 () (tptp.double_divide @t81 @t2))
% 0.49/0.72  (define @t150 () (and @t74 @t18 @t26 @t31 @t75 @t76 @t78 @t79 @t82 @t86 @t36 @t87 @t89 @t91 @t93 @t95 @t96 @t98 @t100 @t102 @t104 @t49 @t106 @t110 @t114 @t115 @t119 @t123 @t125 @t129 @t130 @t67 @t131 @t133 @t137 @t139 @t141 @t146))
% 0.49/0.72  (assume @p1 @t6)
% 0.49/0.72  (assume @p2 (forall (@list @t4 @t1) (= (tptp.multiply @t4 @t1) (tptp.double_divide (tptp.double_divide @t1 @t4) tptp.identity))))
% 0.49/0.72  (assume @p3 @t9)
% 0.49/0.72  (assume @p4 (forall @t8 (= tptp.identity (tptp.double_divide @t4 @t7))))
% 0.49/0.72  (assume @p5 (not @t12))
% 0.49/0.72  (step @p6 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.a)))
% 0.49/0.72  (step @p7 :rule eq-symm :args (@t14 @t15))
% 0.49/0.72  (step @p8 :rule refl :args (@t9))
% 0.49/0.72  (step @p9 :rule cong :premises (@p8 @p7) :args ((=> @t9 @t16)))
% 0.49/0.72  (assume-push @p340 @t9)
% 0.49/0.72  (step @p11 :rule instantiate :premises (@p3) :args (@t17))
% 0.49/0.72  (step-pop @p341 :rule scope :premises (@p11))
% 0.49/0.72  (step @p12 :rule process_scope :premises (@p341) :args (@t16))
% 0.49/0.72  (step @p14 :rule eq_resolve :premises (@p12 @p9))
% 0.49/0.72  (step @p15 :rule implies_elim :premises (@p14))
% 0.49/0.72  (step @p16 :rule chain_m_resolution :premises (@p15 @p3) :args (@t18 @t19 @t20))
% 0.49/0.72  (step @p17 :rule eq-symm :args (@t22 @t23))
% 0.49/0.72  (step @p18 :rule cong :premises (@p8 @p17) :args ((=> @t9 @t24)))
% 0.49/0.72  (assume-push @p342 @t9)
% 0.49/0.72  (step @p20 :rule instantiate :premises (@p3) :args (@t25))
% 0.49/0.72  (step-pop @p343 :rule scope :premises (@p20))
% 0.49/0.72  (step @p21 :rule process_scope :premises (@p343) :args (@t24))
% 0.49/0.72  (step @p23 :rule eq_resolve :premises (@p21 @p18))
% 0.49/0.72  (step @p24 :rule implies_elim :premises (@p23))
% 0.49/0.72  (step @p25 :rule chain_m_resolution :premises (@p24 @p3) :args (@t26 @t19 @t20))
% 0.49/0.72  (step @p26 :rule eq-symm :args (@t27 @t28))
% 0.49/0.72  (step @p27 :rule cong :premises (@p8 @p26) :args ((=> @t9 @t29)))
% 0.49/0.72  (assume-push @p344 @t9)
% 0.49/0.72  (step @p29 :rule instantiate :premises (@p3) :args (@t30))
% 0.49/0.72  (step-pop @p345 :rule scope :premises (@p29))
% 0.49/0.72  (step @p30 :rule process_scope :premises (@p345) :args (@t29))
% 0.49/0.72  (step @p32 :rule eq_resolve :premises (@p30 @p27))
% 0.49/0.72  (step @p33 :rule implies_elim :premises (@p32))
% 0.49/0.72  (step @p34 :rule chain_m_resolution :premises (@p33 @p3) :args (@t31 @t19 @t20))
% 0.49/0.72  (step @p35 :rule instantiate :premises (@p4) :args (@t17))
% 0.49/0.72  (step @p36 :rule instantiate :premises (@p4) :args (@t25))
% 0.49/0.72  (step @p37 :rule eq-symm :args (@t5 @t1))
% 0.49/0.72  (step @p38 :rule cong :premises (@p37) :args (@t6))
% 0.49/0.72  (step @p39 :rule eq_resolve :premises (@p1 @p38))
% 0.49/0.72  (step @p40 :rule instantiate :premises (@p39) :args ((@list @t21 @t21 @t22)))
% 0.49/0.72  (step @p41 :rule instantiate :premises (@p39) :args ((@list @t21 @t23 @t22)))
% 0.49/0.72  (step @p42 :rule instantiate :premises (@p39) :args ((@list @t21 @t28 @t22)))
% 0.49/0.72  (step @p43 :rule instantiate :premises (@p39) :args ((@list @t21 @t21 tptp.identity)))
% 0.49/0.72  (step @p44 :rule eq-symm :args (@t32 @t33))
% 0.49/0.72  (step @p45 :rule cong :premises (@p8 @p44) :args ((=> @t9 @t34)))
% 0.49/0.72  (assume-push @p346 @t9)
% 0.49/0.72  (step @p47 :rule instantiate :premises (@p3) :args (@t35))
% 0.49/0.72  (step-pop @p347 :rule scope :premises (@p47))
% 0.49/0.72  (step @p48 :rule process_scope :premises (@p347) :args (@t34))
% 0.49/0.72  (step @p50 :rule eq_resolve :premises (@p48 @p45))
% 0.49/0.72  (step @p51 :rule implies_elim :premises (@p50))
% 0.49/0.72  (step @p52 :rule chain_m_resolution :premises (@p51 @p3) :args (@t36 @t19 @t20))
% 0.49/0.72  (step @p53 :rule instantiate :premises (@p4) :args (@t30))
% 0.49/0.72  (step @p54 :rule instantiate :premises (@p39) :args ((@list @t39 @t21 @t37)))
% 0.49/0.72  (step @p55 :rule instantiate :premises (@p39) :args ((@list @t39 @t23 @t37)))
% 0.49/0.72  (step @p56 :rule instantiate :premises (@p39) :args ((@list @t39 @t28 @t37)))
% 0.49/0.72  (step @p57 :rule instantiate :premises (@p39) :args ((@list @t39 tptp.identity @t37)))
% 0.49/0.72  (step @p58 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t41 tptp.identity)))
% 0.49/0.72  (step @p59 :rule instantiate :premises (@p39) :args ((@list @t42 @t21 @t37)))
% 0.49/0.72  (step @p60 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t44 tptp.identity)))
% 0.49/0.72  (step @p61 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t45 tptp.identity)))
% 0.49/0.72  (step @p62 :rule instantiate :premises (@p39) :args ((@list @t39 @t33 @t37)))
% 0.49/0.72  (step @p63 :rule eq-symm :args (@t46 @t2))
% 0.49/0.72  (step @p64 :rule cong :premises (@p8 @p63) :args ((=> @t9 @t47)))
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% 0.49/0.72  (step @p66 :rule instantiate :premises (@p3) :args (@t48))
% 0.49/0.72  (step-pop @p349 :rule scope :premises (@p66))
% 0.49/0.72  (step @p67 :rule process_scope :premises (@p349) :args (@t47))
% 0.49/0.72  (step @p69 :rule eq_resolve :premises (@p67 @p64))
% 0.49/0.72  (step @p70 :rule implies_elim :premises (@p69))
% 0.49/0.72  (step @p71 :rule chain_m_resolution :premises (@p70 @p3) :args (@t49 @t19 @t20))
% 0.49/0.72  (step @p72 :rule instantiate :premises (@p4) :args (@t35))
% 0.49/0.72  (step @p73 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t51 tptp.identity)))
% 0.49/0.72  (step @p74 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t53 tptp.identity)))
% 0.49/0.72  (step @p75 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t56 tptp.identity)))
% 0.49/0.72  (step @p76 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t57 tptp.identity)))
% 0.49/0.72  (step @p77 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t58 tptp.identity)))
% 0.49/0.72  (step @p78 :rule instantiate :premises (@p39) :args ((@list tptp.a tptp.identity tptp.b)))
% 0.49/0.72  (step @p79 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t60 tptp.identity)))
% 0.49/0.72  (step @p80 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t63 tptp.identity)))
% 0.49/0.72  (step @p81 :rule eq-symm :args (@t64 @t65))
% 0.49/0.72  (step @p82 :rule cong :premises (@p8 @p81) :args ((=> @t9 @t66)))
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% 0.49/0.72  (step @p87 :rule eq_resolve :premises (@p85 @p82))
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% 0.49/0.72  (step @p89 :rule chain_m_resolution :premises (@p88 @p3) :args (@t67 @t19 @t20))
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% 0.49/0.72  (step @p91 :rule instantiate :premises (@p39) :args ((@list tptp.b @t68 tptp.identity)))
% 0.49/0.72  (step @p92 :rule instantiate :premises (@p39) :args ((@list tptp.identity @t70 tptp.identity)))
% 0.49/0.72  (step @p93 :rule instantiate :premises (@p39) :args ((@list @t43 @t69 @t71)))
% 0.49/0.72  (step @p94 :rule instantiate :premises (@p2) :args ((@list @t72 tptp.b)))
% 0.49/0.72  (step @p95 :rule instantiate :premises (@p39) :args ((@list @t73 tptp.a @t2)))
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% 0.49/0.72  (assume-push @p353 @t18)
% 0.49/0.72  (assume-push @p354 @t26)
% 0.49/0.72  (assume-push @p355 @t31)
% 0.49/0.72  (assume-push @p356 @t75)
% 0.49/0.72  (assume-push @p357 @t76)
% 0.49/0.72  (assume-push @p358 @t78)
% 0.49/0.72  (assume-push @p359 @t79)
% 0.49/0.72  (assume-push @p360 @t82)
% 0.49/0.72  (assume-push @p361 @t86)
% 0.49/0.72  (assume-push @p362 @t36)
% 0.49/0.72  (assume-push @p363 @t87)
% 0.49/0.72  (assume-push @p364 @t89)
% 0.49/0.72  (assume-push @p365 @t91)
% 0.49/0.72  (assume-push @p366 @t93)
% 0.49/0.72  (assume-push @p367 @t95)
% 0.49/0.72  (assume-push @p368 @t96)
% 0.49/0.72  (assume-push @p369 @t98)
% 0.49/0.72  (assume-push @p370 @t100)
% 0.49/0.72  (assume-push @p371 @t102)
% 0.49/0.72  (assume-push @p372 @t104)
% 0.49/0.72  (assume-push @p373 @t49)
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% 0.49/0.72  (assume-push @p375 @t110)
% 0.49/0.72  (assume-push @p376 @t114)
% 0.49/0.72  (assume-push @p377 @t115)
% 0.49/0.72  (assume-push @p378 @t119)
% 0.49/0.72  (assume-push @p379 @t123)
% 0.49/0.72  (assume-push @p380 @t125)
% 0.49/0.72  (assume-push @p381 @t129)
% 0.49/0.72  (assume-push @p382 @t130)
% 0.49/0.72  (assume-push @p383 @t67)
% 0.49/0.72  (assume-push @p384 @t131)
% 0.49/0.72  (assume-push @p385 @t133)
% 0.49/0.72  (assume-push @p386 @t137)
% 0.49/0.72  (assume-push @p387 @t139)
% 0.49/0.72  (assume-push @p388 @t141)
% 0.49/0.72  (assume-push @p389 @t146)
% 0.49/0.72  (step @p134 :rule symm :premises (@p6))
% 0.49/0.72  (step @p135 :rule symm :premises (@p53))
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% 0.49/0.72  (step @p139 :rule symm :premises (@p36))
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% 0.49/0.72  (step @p142 :rule cong :premises (@p141 @p138) :args (@t40))
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% 0.49/0.72  (step @p146 :rule refl :args (@t2))
% 0.49/0.72  (step @p147 :rule symm :premises (@p43))
% 0.49/0.72  (step @p148 :rule trans :premises (@p147 @p40))
% 0.49/0.72  (step @p149 :rule cong :premises (@p148 @p146) :args (@t147))
% 0.49/0.72  (step @p150 :rule cong :premises (@p136 @p149) :args (@t148))
% 0.49/0.72  (step @p151 :rule cong :premises (@p150 @p146) :args ((tptp.double_divide @t148 @t2)))
% 0.49/0.72  (step @p152 :rule symm :premises (@p150))
% 0.49/0.72  (step @p153 :rule symm :premises (@p54))
% 0.49/0.72  (step @p154 :rule trans :premises (@p153 @p40))
% 0.49/0.72  (step @p155 :rule cong :premises (@p154 @p146) :args (@t107))
% 0.49/0.72  (step @p156 :rule cong :premises (@p136 @p155) :args (@t108))
% 0.49/0.72  (step @p157 :rule trans :premises (@p156 @p152))
% 0.49/0.72  (step @p158 :rule cong :premises (@p157 @p146) :args (@t109))
% 0.49/0.72  (step @p159 :rule symm :premises (@p137))
% 0.49/0.72  (step @p160 :rule cong :premises (@p159 @p136) :args (@t33))
% 0.49/0.72  (step @p161 :rule symm :premises (@p62))
% 0.49/0.72  (step @p162 :rule trans :premises (@p161 @p160))
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% 0.49/0.72  (step @p164 :rule cong :premises (@p163 @p162) :args ((tptp.double_divide @t41 @t103)))
% 0.49/0.72  (step @p165 :rule refl :args (@t103))
% 0.49/0.72  (step @p166 :rule symm :premises (@p144))
% 0.49/0.72  (step @p167 :rule symm :premises (@p59))
% 0.49/0.72  (step @p168 :rule trans :premises (@p167 @p40))
% 0.49/0.72  (step @p169 :rule cong :premises (@p168 @p146) :args (@t120))
% 0.49/0.72  (step @p170 :rule cong :premises (@p136 @p169) :args (@t121))
% 0.49/0.72  (step @p171 :rule trans :premises (@p170 @p152))
% 0.49/0.72  (step @p172 :rule cong :premises (@p171 @p146) :args (@t122))
% 0.49/0.72  (step @p173 :rule trans :premises (@p77 @p172 @p151 @p145 @p144))
% 0.49/0.72  (step @p174 :rule refl :args (@t44))
% 0.49/0.72  (step @p175 :rule cong :premises (@p174 @p162) :args ((tptp.double_divide @t44 @t103)))
% 0.49/0.72  (step @p176 :rule symm :premises (@p162))
% 0.49/0.72  (step @p177 :rule symm :premises (@p60))
% 0.49/0.72  (step @p178 :rule trans :premises (@p144 @p41))
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% 0.49/0.72  (step @p180 :rule symm :premises (@p55))
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% 0.49/0.72  (step @p183 :rule trans :premises (@p182 @p179))
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% 0.49/0.72  (step @p185 :rule cong :premises (@p184 @p146) :args (@t113))
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% 0.49/0.72  (step @p188 :rule cong :premises (@p20 @p187) :args (@t37))
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% 0.49/0.72  (step @p191 :rule trans :premises (@p72 @p190))
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% 0.49/0.72  (step @p193 :rule trans :premises (@p20 @p192))
% 0.49/0.72  (step @p194 :rule cong :premises (@p193 @p191) :args (@t37))
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% 0.49/0.72  (step @p196 :rule symm :premises (@p189))
% 0.49/0.72  (step @p197 :rule trans :premises (@p196 @p195))
% 0.49/0.72  (step @p198 :rule cong :premises (@p197 @p176) :args (@t52))
% 0.49/0.72  (step @p199 :rule trans :premises (@p72 @p190 @p198 @p175))
% 0.49/0.72  (step @p200 :rule cong :premises (@p20 @p36) :args (@t37))
% 0.49/0.72  (step @p201 :rule trans :premises (@p159 @p200))
% 0.49/0.72  (step @p202 :rule cong :premises (@p201 @p199) :args (@t33))
% 0.49/0.72  (step @p203 :rule refl :args (@t28))
% 0.49/0.72  (step @p204 :rule cong :premises (@p203 @p139) :args (@t80))
% 0.49/0.72  (step @p205 :rule trans :premises (@p204 @p202))
% 0.49/0.72  (step @p206 :rule symm :premises (@p204))
% 0.49/0.72  (step @p207 :rule cong :premises (@p203 @p143) :args (@t54))
% 0.49/0.72  (step @p208 :rule trans :premises (@p207 @p206))
% 0.49/0.72  (step @p209 :rule trans :premises (@p208 @p205 @p173 @p166))
% 0.49/0.72  (step @p210 :rule cong :premises (@p209 @p165) :args ((tptp.double_divide @t54 @t103)))
% 0.49/0.72  (step @p211 :rule refl :args (@t54))
% 0.49/0.72  (step @p212 :rule cong :premises (@p211 @p176) :args (@t55))
% 0.49/0.72  (step @p213 :rule trans :premises (@p212 @p210 @p164))
% 0.49/0.72  (step @p214 :rule refl :args (@t39))
% 0.49/0.72  (step @p215 :rule cong :premises (@p214 @p213) :args (@t56))
% 0.49/0.72  (step @p216 :rule symm :premises (@p75))
% 0.49/0.72  (step @p217 :rule symm :premises (@p42))
% 0.49/0.72  (step @p218 :rule trans :premises (@p217 @p56))
% 0.49/0.72  (step @p219 :rule cong :premises (@p218 @p146) :args (@t149))
% 0.49/0.72  (step @p220 :rule cong :premises (@p136 @p219) :args ((tptp.double_divide tptp.identity @t149)))
% 0.49/0.72  (step @p221 :rule symm :premises (@p194))
% 0.49/0.72  (step @p222 :rule trans :premises (@p221 @p137))
% 0.49/0.72  (step @p223 :rule trans :premises (@p222 @p42))
% 0.49/0.72  (step @p224 :rule cong :premises (@p223 @p146) :args (@t90))
% 0.49/0.72  (step @p225 :rule symm :premises (@p41))
% 0.49/0.72  (step @p226 :rule cong :premises (@p177 @p146) :args (@t126))
% 0.49/0.72  (step @p227 :rule trans :premises (@p226 @p225 @p55 @p224))
% 0.49/0.72  (step @p228 :rule cong :premises (@p136 @p227) :args (@t127))
% 0.49/0.72  (step @p229 :rule trans :premises (@p228 @p220))
% 0.49/0.72  (step @p230 :rule cong :premises (@p229 @p146) :args (@t128))
% 0.49/0.72  (step @p231 :rule trans :premises (@p40 @p179))
% 0.49/0.72  (step @p232 :rule cong :premises (@p136 @p231) :args (@t68))
% 0.49/0.72  (step @p233 :rule symm :premises (@p91))
% 0.49/0.72  (step @p234 :rule symm :premises (@p90))
% 0.49/0.72  (step @p235 :rule cong :premises (@p140 @p25) :args (@t83))
% 0.49/0.72  (step @p236 :rule trans :premises (@p235 @p139))
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% 0.49/0.72  (step @p238 :rule symm :premises (@p236))
% 0.49/0.72  (step @p239 :rule trans :premises (@p237 @p234))
% 0.49/0.72  (step @p240 :rule symm :premises (@p35))
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% 0.49/0.72  (step @p242 :rule cong :premises (@p241 @p16) :args (@t45))
% 0.49/0.72  (step @p243 :rule trans :premises (@p242 @p240))
% 0.49/0.72  (step @p244 :rule trans :premises (@p243 @p238))
% 0.49/0.72  (step @p245 :rule cong :premises (@p244 @p146) :args (@t61))
% 0.49/0.72  (step @p246 :rule trans :premises (@p245 @p239 @p238))
% 0.49/0.72  (step @p247 :rule cong :premises (@p246 @p146) :args (@t62))
% 0.49/0.72  (step @p248 :rule trans :premises (@p247 @p237 @p234))
% 0.49/0.72  (step @p249 :rule cong :premises (@p136 @p248) :args (@t63))
% 0.49/0.72  (step @p250 :rule symm :premises (@p80))
% 0.49/0.72  (step @p251 :rule symm :premises (@p242))
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% 0.49/0.72  (step @p253 :rule trans :premises (@p236 @p252))
% 0.49/0.72  (step @p254 :rule cong :premises (@p253 @p146) :args (@t84))
% 0.49/0.72  (step @p255 :rule symm :premises (@p237))
% 0.49/0.72  (step @p256 :rule trans :premises (@p90 @p255 @p254))
% 0.49/0.72  (step @p257 :rule cong :premises (@p136 @p256) :args (@t2))
% 0.49/0.72  (step @p258 :rule symm :premises (@p57))
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% 0.49/0.72  (step @p261 :rule trans :premises (@p260 @p254))
% 0.49/0.72  (step @p262 :rule cong :premises (@p136 @p261) :args (@t117))
% 0.49/0.72  (step @p263 :rule cong :premises (@p262 @p146) :args (@t118))
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% 0.49/0.72  (step @p265 :rule trans :premises (@p264 @p249 @p257))
% 0.49/0.72  (step @p266 :rule cong :premises (@p265 @p146) :args (@t94))
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% 0.49/0.72  (step @p275 :rule symm :premises (@p266))
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% 0.49/0.72  (step @p279 :rule symm :premises (@p78))
% 0.49/0.72  (step @p280 :rule cong :premises (@p279 @p273) :args (@t134))
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% 0.49/0.72  (step @p283 :rule trans :premises (@p282 @p276 @p80 @p275 @p258))
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% 0.49/0.72  (step @p287 :rule trans :premises (@p286 @p92 @p284 @p276 @p80 @p275 @p258))
% 0.49/0.72  (step @p288 :rule cong :premises (@p287 @p278) :args (@t143))
% 0.49/0.72  (step @p289 :rule refl :args (@t73))
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% 0.49/0.72  (step-pop @p390 :rule scope :premises (@p295))
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% 0.49/0.72  (step-pop @p393 :rule scope :premises (@p392))
% 0.49/0.72  (step-pop @p394 :rule scope :premises (@p393))
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% 0.49/0.72  (step-pop @p396 :rule scope :premises (@p395))
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% 0.49/0.72  (step-pop @p399 :rule scope :premises (@p398))
% 0.49/0.72  (step-pop @p400 :rule scope :premises (@p399))
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% 0.49/0.72  (step-pop @p407 :rule scope :premises (@p406))
% 0.49/0.72  (step-pop @p408 :rule scope :premises (@p407))
% 0.49/0.72  (step-pop @p409 :rule scope :premises (@p408))
% 0.49/0.72  (step-pop @p410 :rule scope :premises (@p409))
% 0.49/0.72  (step-pop @p411 :rule scope :premises (@p410))
% 0.49/0.72  (step-pop @p412 :rule scope :premises (@p411))
% 0.49/0.72  (step-pop @p413 :rule scope :premises (@p412))
% 0.49/0.72  (step-pop @p414 :rule scope :premises (@p413))
% 0.49/0.72  (step-pop @p415 :rule scope :premises (@p414))
% 0.49/0.72  (step-pop @p416 :rule scope :premises (@p415))
% 0.49/0.72  (step-pop @p417 :rule scope :premises (@p416))
% 0.49/0.72  (step-pop @p418 :rule scope :premises (@p417))
% 0.49/0.72  (step-pop @p419 :rule scope :premises (@p418))
% 0.49/0.72  (step-pop @p420 :rule scope :premises (@p419))
% 0.49/0.72  (step-pop @p421 :rule scope :premises (@p420))
% 0.49/0.72  (step-pop @p422 :rule scope :premises (@p421))
% 0.49/0.72  (step-pop @p423 :rule scope :premises (@p422))
% 0.49/0.72  (step-pop @p424 :rule scope :premises (@p423))
% 0.49/0.72  (step-pop @p425 :rule scope :premises (@p424))
% 0.49/0.72  (step-pop @p426 :rule scope :premises (@p425))
% 0.49/0.72  (step-pop @p427 :rule scope :premises (@p426))
% 0.49/0.72  (step @p296 :rule process_scope :premises (@p427) :args (@t12))
% 0.49/0.72  (step @p335 :rule implies_elim :premises (@p296))
% 0.49/0.72  (step @p336 :rule cnf_and_neg :args (@t150))
% 0.49/0.72  (step @p337 :rule resolution :premises (@p336 @p335) :args (true @t150))
% 0.49/0.72  (step @p338 :rule reordering :premises (@p337) :args ((or @t12 (not @t74) (not @t18) (not @t26) (not @t31) (not @t75) (not @t76) (not @t78) (not @t79) (not @t82) (not @t86) (not @t36) (not @t87) (not @t89) (not @t91) (not @t93) (not @t95) (not @t96) (not @t98) (not @t100) (not @t102) (not @t104) (not @t49) (not @t106) (not @t110) (not @t114) (not @t115) (not @t119) (not @t123) (not @t125) (not @t129) (not @t130) (not @t67) (not @t131) (not @t133) (not @t137) (not @t139) (not @t141) (not @t146))))
% 0.49/0.72  (step @p339 false :rule chain_m_resolution :premises (@p338 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p43 @p42 @p41 @p40 @p36 @p35 @p34 @p25 @p16 @p6 @p5) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t146 @t141 @t139 @t137 @t133 @t131 @t67 @t130 @t129 @t125 @t123 @t119 @t115 @t114 @t110 @t106 @t49 @t104 @t102 @t100 @t98 @t96 @t95 @t93 @t91 @t89 @t87 @t36 @t86 @t82 @t79 @t78 @t76 @t75 @t31 @t26 @t18 @t74 @t12)))
% 0.49/0.72  )
% 0.49/0.72  % SZS output end Proof
% 0.49/0.72  % cvc5 exiting
%------------------------------------------------------------------------------