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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP462-1 : TPTP v9.2.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n023.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 08:20:46 AM UTC 2026

% Result   : Unsatisfiable 65.75s 65.97s
% Output   : Proof 65.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP462-1 : TPTP v9.2.1. Released v2.6.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n023.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 01:09:58 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.34/15.56  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.34/21.58  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.34/27.60  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 33.46/33.67  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 63.55/63.71  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 65.75/65.97  % SZS status Unsatisfiable
% 65.75/65.97  % SZS output start Proof
% 65.75/65.97  (
% 65.75/65.97  (declare-sort $$unsorted 0)
% 65.75/65.97  (declare-const tptp.b3 $$unsorted)
% 65.75/65.97  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 65.75/65.97  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 65.75/65.97  (declare-const tptp.a3 $$unsorted)
% 65.75/65.97  (declare-const tptp.identity $$unsorted)
% 65.75/65.97  (declare-const tptp.c3 $$unsorted)
% 65.75/65.97  (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted))
% 65.75/65.97  (define @t1 () (@var "B" $$unsorted))
% 65.75/65.97  (define @t2 () (@var "C" $$unsorted))
% 65.75/65.97  (define @t3 () (@var "A" $$unsorted))
% 65.75/65.97  (define @t4 () (tptp.divide @t3 @t3))
% 65.75/65.97  (define @t5 () (tptp.divide tptp.identity @t1))
% 65.75/65.97  (define @t6 () (tptp.divide @t3 (tptp.divide (tptp.divide @t5 @t2) (tptp.divide (tptp.divide @t4 @t3) @t2))))
% 65.75/65.97  (define @t7 () (@list @t3 @t1 @t2))
% 65.75/65.97  (define @t8 () (forall @t7 (= @t6 @t1)))
% 65.75/65.97  (define @t9 () (@list @t3))
% 65.75/65.97  (define @t10 () (tptp.multiply tptp.b3 tptp.c3))
% 65.75/65.97  (define @t11 () (tptp.multiply tptp.a3 @t10))
% 65.75/65.97  (define @t12 () (tptp.multiply tptp.a3 tptp.b3))
% 65.75/65.97  (define @t13 () (tptp.multiply @t12 tptp.c3))
% 65.75/65.97  (define @t14 () (tptp.divide tptp.identity @t11))
% 65.75/65.97  (define @t15 () (tptp.divide tptp.identity tptp.identity))
% 65.75/65.97  (define @t16 () (tptp.divide @t15 tptp.identity))
% 65.75/65.97  (define @t17 () (tptp.divide @t16 @t14))
% 65.75/65.97  (define @t18 () (tptp.divide (tptp.divide @t14 @t14) @t17))
% 65.75/65.97  (define @t19 () (tptp.divide tptp.identity @t18))
% 65.75/65.97  (define @t20 () (= @t11 @t19))
% 65.75/65.97  (define @t21 () (= @t19 @t11))
% 65.75/65.97  (define @t22 () (tptp.divide @t16 tptp.identity))
% 65.75/65.97  (define @t23 () (tptp.divide tptp.identity @t13))
% 65.75/65.97  (define @t24 () (tptp.divide @t23 tptp.identity))
% 65.75/65.97  (define @t25 () (tptp.divide @t13 @t15))
% 65.75/65.97  (define @t26 () (tptp.divide @t13 @t13))
% 65.75/65.97  (define @t27 () (tptp.divide @t26 @t13))
% 65.75/65.97  (define @t28 () (tptp.divide @t27 @t23))
% 65.75/65.97  (define @t29 () (tptp.divide (tptp.divide @t23 @t23) @t28))
% 65.75/65.97  (define @t30 () (tptp.divide tptp.identity @t23))
% 65.75/65.97  (define @t31 () (tptp.divide tptp.identity @t10))
% 65.75/65.97  (define @t32 () (tptp.divide tptp.identity @t31))
% 65.75/65.97  (define @t33 () (tptp.divide @t31 @t15))
% 65.75/65.97  (define @t34 () (tptp.divide @t16 @t15))
% 65.75/65.97  (define @t35 () (tptp.divide @t33 @t34))
% 65.75/65.97  (define @t36 () (tptp.divide tptp.identity tptp.c3))
% 65.75/65.97  (define @t37 () (tptp.divide @t16 tptp.c3))
% 65.75/65.97  (define @t38 () (tptp.divide @t15 @t12))
% 65.75/65.97  (define @t39 () (tptp.divide tptp.identity @t12))
% 65.75/65.97  (define @t40 () (tptp.divide @t16 @t12))
% 65.75/65.97  (define @t41 () (tptp.divide @t38 @t40))
% 65.75/65.97  (define @t42 () (tptp.divide tptp.identity @t39))
% 65.75/65.97  (define @t43 () (tptp.divide @t38 @t38))
% 65.75/65.97  (define @t44 () (tptp.divide @t39 tptp.identity))
% 65.75/65.97  (define @t45 () (tptp.divide @t44 @t22))
% 65.75/65.97  (define @t46 () (tptp.divide tptp.identity @t45))
% 65.75/65.97  (define @t47 () (tptp.divide @t46 @t15))
% 65.75/65.97  (define @t48 () (tptp.divide @t47 @t34))
% 65.75/65.97  (define @t49 () (tptp.divide @t15 tptp.c3))
% 65.75/65.97  (define @t50 () (tptp.divide @t49 @t49))
% 65.75/65.97  (define @t51 () (tptp.divide @t49 @t37))
% 65.75/65.97  (define @t52 () (tptp.divide @t39 @t39))
% 65.75/65.97  (define @t53 () (tptp.divide @t52 @t39))
% 65.75/65.97  (define @t54 () (tptp.divide @t53 @t36))
% 65.75/65.97  (define @t55 () (tptp.divide @t42 @t36))
% 65.75/65.97  (define @t56 () (tptp.divide @t55 @t54))
% 65.75/65.97  (define @t57 () (tptp.divide @t27 tptp.identity))
% 65.75/65.97  (define @t58 () (tptp.divide @t12 @t12))
% 65.75/65.97  (define @t59 () (tptp.divide @t44 @t57))
% 65.75/65.97  (define @t60 () (tptp.divide tptp.c3 tptp.c3))
% 65.75/65.97  (define @t61 () (tptp.divide (tptp.divide @t36 tptp.identity) @t22))
% 65.75/65.97  (define @t62 () (tptp.divide tptp.identity @t61))
% 65.75/65.97  (define @t63 () (tptp.divide @t62 @t15))
% 65.75/65.97  (define @t64 () (tptp.divide @t63 @t34))
% 65.75/65.97  (define @t65 () (tptp.divide (tptp.divide @t58 @t12) tptp.identity))
% 65.75/65.97  (define @t66 () (tptp.divide @t27 @t40))
% 65.75/65.97  (define @t67 () (tptp.divide tptp.identity tptp.b3))
% 65.75/65.97  (define @t68 () (tptp.divide tptp.b3 @t15))
% 65.75/65.97  (define @t69 () (tptp.divide @t16 tptp.b3))
% 65.75/65.97  (define @t70 () (tptp.divide @t15 tptp.b3))
% 65.75/65.97  (define @t71 () (tptp.divide @t70 @t69))
% 65.75/65.97  (define @t72 () (tptp.divide (tptp.divide tptp.identity @t71) tptp.identity))
% 65.75/65.97  (define @t73 () (tptp.divide @t72 @t22))
% 65.75/65.97  (define @t74 () (tptp.divide (tptp.divide tptp.b3 tptp.b3) tptp.b3))
% 65.75/65.97  (define @t75 () (tptp.divide @t74 @t69))
% 65.75/65.97  (define @t76 () (tptp.divide @t67 @t69))
% 65.75/65.97  (define @t77 () (tptp.divide @t76 @t75))
% 65.75/65.97  (define @t78 () (tptp.divide tptp.identity @t67))
% 65.75/65.97  (define @t79 () (tptp.divide @t16 @t69))
% 65.75/65.97  (define @t80 () (tptp.divide (tptp.divide (tptp.divide tptp.identity @t70) @t12) @t40))
% 65.75/65.97  (define @t81 () (tptp.divide (tptp.divide tptp.identity @t80) @t69))
% 65.75/65.97  (define @t82 () (tptp.divide @t81 @t79))
% 65.75/65.97  (define @t83 () (tptp.divide @t74 @t67))
% 65.75/65.97  (define @t84 () (tptp.divide tptp.identity tptp.a3))
% 65.75/65.97  (define @t85 () (tptp.divide tptp.a3 @t15))
% 65.75/65.97  (define @t86 () (tptp.divide @t16 tptp.a3))
% 65.75/65.97  (define @t87 () (tptp.divide @t15 tptp.a3))
% 65.75/65.97  (define @t88 () (tptp.divide @t87 @t86))
% 65.75/65.97  (define @t89 () (tptp.divide (tptp.divide tptp.identity @t88) tptp.identity))
% 65.75/65.97  (define @t90 () (tptp.divide @t89 @t22))
% 65.75/65.97  (define @t91 () (tptp.divide (tptp.divide tptp.a3 tptp.a3) tptp.a3))
% 65.75/65.97  (define @t92 () (tptp.divide @t91 @t86))
% 65.75/65.97  (define @t93 () (tptp.divide @t84 @t86))
% 65.75/65.97  (define @t94 () (tptp.divide @t93 @t92))
% 65.75/65.97  (define @t95 () (tptp.divide tptp.identity @t84))
% 65.75/65.97  (define @t96 () (tptp.divide @t95 @t67))
% 65.75/65.97  (define @t97 () (tptp.divide @t96 @t83))
% 65.75/65.97  (define @t98 () (tptp.divide @t84 @t40))
% 65.75/65.97  (define @t99 () (tptp.divide @t98 @t66))
% 65.75/65.97  (define @t100 () (forall @t7 (= @t1 @t6)))
% 65.75/65.97  (assume @p1 @t8)
% 65.75/65.97  (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 @t5))))
% 65.75/65.97  (assume @p3 (forall @t9 (= (tptp.inverse @t3) (tptp.divide tptp.identity @t3))))
% 65.75/65.97  (assume @p4 (forall @t9 (= tptp.identity @t4)))
% 65.75/65.97  (assume @p5 (not (= @t13 @t11)))
% 65.75/65.97  (step @p6 :rule eq-symm :args (@t6 @t1))
% 65.75/65.97  (step @p7 :rule cong :premises (@p6) :args (@t8))
% 65.75/65.97  (step @p8 :rule eq_resolve :premises (@p1 @p7))
% 65.75/65.97  (step @p9 :rule bool-eq-false :args (@t20))
% 65.75/65.97  (step @p10 :rule symm :premises (@p9))
% 65.75/65.97  (step @p11 :rule eq-symm :args (@t19 @t11))
% 65.75/65.97  (step @p12 :rule cong :premises (@p11) :args ((not @t21)))
% 65.75/65.97  (step @p13 :rule bool-eq-false :args (@t21))
% 65.75/65.97  (step @p14 :rule trans :premises (@p13 @p12))
% 65.75/65.97  (step @p15 :rule trans :premises (@p14 @p10))
% 65.75/65.97  (step @p16 :rule false_intro :premises (@p5))
% 65.75/65.97  (step @p17 :rule refl :args (@t11))
% 65.75/65.97  (step @p18 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t13 tptp.identity)))
% 65.75/65.97  (step @p19 :rule symm :premises (@p18))
% 65.75/65.97  (step @p20 :rule instantiate :premises (@p8) :args ((@list tptp.identity (tptp.divide @t24 @t22) @t15)))
% 65.75/65.97  (step @p21 :rule symm :premises (@p20))
% 65.75/65.97  (step @p22 :rule instantiate :premises (@p4) :args ((@list tptp.identity)))
% 65.75/65.97  (step @p23 :rule refl :args (tptp.identity))
% 65.75/65.97  (step @p24 :rule cong :premises (@p22 @p23) :args (@t15))
% 65.75/65.97  (step @p25 :rule trans :premises (@p22 @p24))
% 65.75/65.97  (step @p26 :rule cong :premises (@p25 @p22) :args (@t15))
% 65.75/65.97  (step @p27 :rule refl :args (@t15))
% 65.75/65.97  (step @p28 :rule cong :premises (@p18 @p27) :args (@t25))
% 65.75/65.97  (step @p29 :rule instantiate :premises (@p4) :args ((@list @t23)))
% 65.75/65.97  (step @p30 :rule symm :premises (@p29))
% 65.75/65.97  (step @p31 :rule refl :args (@t23))
% 65.75/65.97  (step @p32 :rule refl :args (@t13))
% 65.75/65.97  (step @p33 :rule instantiate :premises (@p4) :args ((@list @t13)))
% 65.75/65.97  (step @p34 :rule symm :premises (@p33))
% 65.75/65.97  (step @p35 :rule cong :premises (@p34 @p32) :args (@t27))
% 65.75/65.97  (step @p36 :rule cong :premises (@p35 @p31) :args (@t28))
% 65.75/65.97  (step @p37 :rule trans :premises (@p36 @p30))
% 65.75/65.97  (step @p38 :rule cong :premises (@p30 @p37) :args (@t29))
% 65.75/65.97  (step @p39 :rule cong :premises (@p32 @p38) :args ((tptp.divide @t13 @t29)))
% 65.75/65.97  (step @p40 :rule instantiate :premises (@p8) :args ((@list @t13 @t13 @t23)))
% 65.75/65.97  (step @p41 :rule trans :premises (@p40 @p39 @p28))
% 65.75/65.97  (step @p42 :rule cong :premises (@p41 @p26) :args (@t25))
% 65.75/65.97  (step @p43 :rule trans :premises (@p40 @p39 @p42))
% 65.75/65.97  (step @p44 :rule cong :premises (@p23 @p43) :args (@t23))
% 65.75/65.97  (step @p45 :rule trans :premises (@p44 @p21))
% 65.75/65.97  (step @p46 :rule cong :premises (@p23 @p45) :args (@t30))
% 65.75/65.97  (step @p47 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t23 @t32)))
% 65.75/65.97  (step @p48 :rule symm :premises (@p47))
% 65.75/65.97  (step @p49 :rule instantiate :premises (@p8) :args ((@list @t31 @t31 @t32)))
% 65.75/65.97  (step @p50 :rule symm :premises (@p49))
% 65.75/65.97  (step @p51 :rule refl :args (@t32))
% 65.75/65.97  (step @p52 :rule refl :args (@t31))
% 65.75/65.97  (step @p53 :rule instantiate :premises (@p4) :args ((@list @t31)))
% 65.75/65.97  (step @p54 :rule cong :premises (@p53 @p52) :args (@t32))
% 65.75/65.97  (step @p55 :rule cong :premises (@p54 @p51) :args ((tptp.divide @t32 @t32)))
% 65.75/65.97  (step @p56 :rule instantiate :premises (@p4) :args ((@list @t32)))
% 65.75/65.97  (step @p57 :rule trans :premises (@p56 @p55))
% 65.75/65.97  (step @p58 :rule cong :premises (@p56 @p57) :args (@t15))
% 65.75/65.97  (step @p59 :rule cong :premises (@p52 @p58) :args (@t33))
% 65.75/65.97  (step @p60 :rule symm :premises (@p26))
% 65.75/65.97  (step @p61 :rule trans :premises (@p59 @p50))
% 65.75/65.97  (step @p62 :rule cong :premises (@p61 @p60) :args (@t35))
% 65.75/65.97  (step @p63 :rule trans :premises (@p62 @p59 @p50))
% 65.75/65.97  (step @p64 :rule cong :premises (@p23 @p63) :args ((tptp.divide tptp.identity @t35)))
% 65.75/65.97  (step @p65 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t10 @t15)))
% 65.75/65.97  (step @p66 :rule trans :premises (@p65 @p64))
% 65.75/65.97  (step @p67 :rule cong :premises (@p25 @p66) :args (@t31))
% 65.75/65.97  (step @p68 :rule symm :premises (@p46))
% 65.75/65.97  (step @p69 :rule trans :premises (@p18 @p68))
% 65.75/65.97  (step @p70 :rule cong :premises (@p69 @p51) :args ((tptp.divide @t13 @t32)))
% 65.75/65.97  (step @p71 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3)))
% 65.75/65.97  (step @p72 :rule symm :premises (@p71))
% 65.75/65.97  (step @p73 :rule instantiate :premises (@p8) :args ((@list @t23 @t36 tptp.c3)))
% 65.75/65.97  (step @p74 :rule symm :premises (@p73))
% 65.75/65.97  (step @p75 :rule instantiate :premises (@p8) :args ((@list @t38 tptp.c3 @t37)))
% 65.75/65.97  (step @p76 :rule symm :premises (@p75))
% 65.75/65.97  (step @p77 :rule refl :args (tptp.c3))
% 65.75/65.97  (step @p78 :rule cong :premises (@p25 @p77) :args (@t36))
% 65.75/65.97  (step @p79 :rule refl :args (@t12))
% 65.75/65.97  (step @p80 :rule cong :premises (@p22 @p79) :args (@t39))
% 65.75/65.97  (step @p81 :rule symm :premises (@p25))
% 65.75/65.97  (step @p82 :rule cong :premises (@p81 @p79) :args (@t40))
% 65.75/65.97  (step @p83 :rule trans :premises (@p82 @p80))
% 65.75/65.97  (step @p84 :rule refl :args (@t38))
% 65.75/65.97  (step @p85 :rule cong :premises (@p84 @p83) :args (@t41))
% 65.75/65.97  (step @p86 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t41 tptp.identity)))
% 65.75/65.97  (step @p87 :rule symm :premises (@p86))
% 65.75/65.97  (step @p88 :rule cong :premises (@p25 @p23) :args (@t15))
% 65.75/65.97  (step @p89 :rule trans :premises (@p22 @p88))
% 65.75/65.97  (step @p90 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t12)))
% 65.75/65.97  (step @p91 :rule cong :premises (@p90 @p23) :args (@t15))
% 65.75/65.97  (step @p92 :rule trans :premises (@p22 @p91))
% 65.75/65.97  (step @p93 :rule cong :premises (@p92 @p89) :args (@t15))
% 65.75/65.97  (step @p94 :rule trans :premises (@p22 @p93))
% 65.75/65.97  (step @p95 :rule cong :premises (@p23 @p94) :args (@t15))
% 65.75/65.97  (step @p96 :rule trans :premises (@p22 @p95 @p87 @p85))
% 65.75/65.97  (step @p97 :rule cong :premises (@p96 @p80) :args (@t42))
% 65.75/65.97  (step @p98 :rule instantiate :premises (@p8) :args ((@list @t12 @t12 @t40)))
% 65.75/65.97  (step @p99 :rule symm :premises (@p98))
% 65.75/65.97  (step @p100 :rule symm :premises (@p83))
% 65.75/65.97  (step @p101 :rule instantiate :premises (@p4) :args ((@list @t12)))
% 65.75/65.97  (step @p102 :rule cong :premises (@p101 @p79) :args (@t39))
% 65.75/65.97  (step @p103 :rule symm :premises (@p80))
% 65.75/65.97  (step @p104 :rule trans :premises (@p103 @p102))
% 65.75/65.97  (step @p105 :rule cong :premises (@p104 @p100) :args (@t43))
% 65.75/65.97  (step @p106 :rule trans :premises (@p22 @p95 @p87 @p85 @p105))
% 65.75/65.97  (step @p107 :rule cong :premises (@p103 @p100) :args (@t43))
% 65.75/65.97  (step @p108 :rule trans :premises (@p22 @p95 @p87 @p85 @p107))
% 65.75/65.97  (step @p109 :rule cong :premises (@p108 @p106) :args (@t15))
% 65.75/65.97  (step @p110 :rule cong :premises (@p79 @p109) :args ((tptp.divide @t12 @t15)))
% 65.75/65.97  (step @p111 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t12 tptp.identity)))
% 65.75/65.97  (step @p112 :rule symm :premises (@p111))
% 65.75/65.97  (step @p113 :rule cong :premises (@p112 @p27) :args (@t47))
% 65.75/65.97  (step @p114 :rule trans :premises (@p113 @p110 @p99))
% 65.75/65.97  (step @p115 :rule cong :premises (@p114 @p60) :args (@t48))
% 65.75/65.97  (step @p116 :rule trans :premises (@p115 @p110 @p99))
% 65.75/65.97  (step @p117 :rule cong :premises (@p23 @p116) :args ((tptp.divide tptp.identity @t48)))
% 65.75/65.97  (step @p118 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t45 @t15)))
% 65.75/65.97  (step @p119 :rule trans :premises (@p118 @p117))
% 65.75/65.97  (step @p120 :rule cong :premises (@p23 @p119) :args (@t46))
% 65.75/65.97  (step @p121 :rule trans :premises (@p111 @p120 @p97))
% 65.75/65.97  (step @p122 :rule cong :premises (@p121 @p78) :args ((tptp.divide @t12 @t36)))
% 65.75/65.97  (step @p123 :rule instantiate :premises (@p2) :args ((@list @t12 tptp.c3)))
% 65.75/65.97  (step @p124 :rule trans :premises (@p123 @p122))
% 65.75/65.97  (step @p125 :rule symm :premises (@p22))
% 65.75/65.97  (step @p126 :rule cong :premises (@p125 @p77) :args (@t49))
% 65.75/65.97  (step @p127 :rule trans :premises (@p126 @p78))
% 65.75/65.97  (step @p128 :rule cong :premises (@p126 @p127) :args (@t50))
% 65.75/65.97  (step @p129 :rule symm :premises (@p127))
% 65.75/65.97  (step @p130 :rule refl :args (@t49))
% 65.75/65.97  (step @p131 :rule cong :premises (@p130 @p129) :args (@t51))
% 65.75/65.97  (step @p132 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t51 tptp.identity)))
% 65.75/65.97  (step @p133 :rule symm :premises (@p132))
% 65.75/65.97  (step @p134 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.c3)))
% 65.75/65.97  (step @p135 :rule cong :premises (@p134 @p23) :args (@t15))
% 65.75/65.97  (step @p136 :rule trans :premises (@p22 @p135))
% 65.75/65.97  (step @p137 :rule cong :premises (@p136 @p89) :args (@t15))
% 65.75/65.97  (step @p138 :rule trans :premises (@p22 @p137))
% 65.75/65.97  (step @p139 :rule cong :premises (@p23 @p138) :args (@t15))
% 65.75/65.97  (step @p140 :rule trans :premises (@p22 @p139 @p133 @p131 @p128))
% 65.75/65.97  (step @p141 :rule cong :premises (@p140 @p124) :args (@t23))
% 65.75/65.97  (step @p142 :rule instantiate :premises (@p8) :args ((@list @t23 @t23 @t13)))
% 65.75/65.97  (step @p143 :rule symm :premises (@p142))
% 65.75/65.97  (step @p144 :rule symm :premises (@p123))
% 65.75/65.97  (step @p145 :rule refl :args (@t36))
% 65.75/65.97  (step @p146 :rule symm :premises (@p120))
% 65.75/65.97  (step @p147 :rule refl :args (@t39))
% 65.75/65.97  (step @p148 :rule symm :premises (@p95))
% 65.75/65.97  (step @p149 :rule symm :premises (@p85))
% 65.75/65.97  (step @p150 :rule cong :premises (@p80 @p80) :args (@t52))
% 65.75/65.97  (step @p151 :rule trans :premises (@p150 @p149 @p86 @p148 @p125))
% 65.75/65.97  (step @p152 :rule cong :premises (@p151 @p147) :args (@t53))
% 65.75/65.97  (step @p153 :rule trans :premises (@p152 @p146 @p112))
% 65.75/65.97  (step @p154 :rule cong :premises (@p153 @p145) :args (@t54))
% 65.75/65.97  (step @p155 :rule trans :premises (@p154 @p144))
% 65.75/65.97  (step @p156 :rule cong :premises (@p29 @p31) :args (@t30))
% 65.75/65.97  (step @p157 :rule trans :premises (@p18 @p68 @p156))
% 65.75/65.97  (step @p158 :rule trans :premises (@p146 @p112))
% 65.75/65.97  (step @p159 :rule cong :premises (@p158 @p145) :args (@t55))
% 65.75/65.97  (step @p160 :rule trans :premises (@p159 @p144))
% 65.75/65.97  (step @p161 :rule trans :premises (@p160 @p157))
% 65.75/65.97  (step @p162 :rule cong :premises (@p161 @p155) :args (@t56))
% 65.75/65.97  (step @p163 :rule symm :premises (@p155))
% 65.75/65.97  (step @p164 :rule symm :premises (@p160))
% 65.75/65.97  (step @p165 :rule cong :premises (@p164 @p163) :args (@t26))
% 65.75/65.97  (step @p166 :rule trans :premises (@p33 @p165 @p162))
% 65.75/65.97  (step @p167 :rule trans :premises (@p160 @p69))
% 65.75/65.97  (step @p168 :rule cong :premises (@p167 @p155) :args (@t56))
% 65.75/65.97  (step @p169 :rule trans :premises (@p33 @p165 @p168))
% 65.75/65.97  (step @p170 :rule cong :premises (@p169 @p166) :args (@t15))
% 65.75/65.97  (step @p171 :rule trans :premises (@p22 @p170))
% 65.75/65.97  (step @p172 :rule cong :premises (@p31 @p171) :args (@t24))
% 65.75/65.97  (step @p173 :rule cong :premises (@p35 @p23) :args (@t57))
% 65.75/65.97  (step @p174 :rule trans :premises (@p173 @p172 @p143 @p141))
% 65.75/65.97  (step @p175 :rule instantiate :premises (@p8) :args ((@list @t38 @t39 @t12)))
% 65.75/65.97  (step @p176 :rule symm :premises (@p175))
% 65.75/65.97  (step @p177 :rule cong :premises (@p121 @p79) :args (@t58))
% 65.75/65.97  (step @p178 :rule trans :premises (@p101 @p177))
% 65.75/65.97  (step @p179 :rule symm :premises (@p158))
% 65.75/65.97  (step @p180 :rule cong :premises (@p179 @p79) :args (@t58))
% 65.75/65.97  (step @p181 :rule trans :premises (@p101 @p180))
% 65.75/65.97  (step @p182 :rule cong :premises (@p181 @p178) :args (@t15))
% 65.75/65.97  (step @p183 :rule trans :premises (@p22 @p182))
% 65.75/65.97  (step @p184 :rule cong :premises (@p80 @p183) :args (@t44))
% 65.75/65.97  (step @p185 :rule trans :premises (@p184 @p176 @p80))
% 65.75/65.97  (step @p186 :rule cong :premises (@p185 @p174) :args (@t59))
% 65.75/65.97  (step @p187 :rule trans :premises (@p186 @p76))
% 65.75/65.97  (step @p188 :rule cong :premises (@p157 @p187) :args ((tptp.divide @t13 @t59)))
% 65.75/65.97  (step @p189 :rule instantiate :premises (@p8) :args ((@list @t13 @t12 tptp.identity)))
% 65.75/65.97  (step @p190 :rule trans :premises (@p189 @p188))
% 65.75/65.97  (step @p191 :rule instantiate :premises (@p4) :args ((@list tptp.c3)))
% 65.75/65.97  (step @p192 :rule symm :premises (@p191))
% 65.75/65.97  (step @p193 :rule cong :premises (@p192 @p77) :args ((tptp.divide @t60 tptp.c3)))
% 65.75/65.97  (step @p194 :rule instantiate :premises (@p8) :args ((@list tptp.c3 tptp.c3 @t37)))
% 65.75/65.97  (step @p195 :rule symm :premises (@p194))
% 65.75/65.97  (step @p196 :rule symm :premises (@p193))
% 65.75/65.97  (step @p197 :rule trans :premises (@p126 @p196))
% 65.75/65.97  (step @p198 :rule cong :premises (@p197 @p127) :args (@t50))
% 65.75/65.97  (step @p199 :rule trans :premises (@p22 @p139 @p133 @p131 @p198))
% 65.75/65.97  (step @p200 :rule cong :premises (@p140 @p199) :args (@t15))
% 65.75/65.97  (step @p201 :rule cong :premises (@p77 @p200) :args ((tptp.divide tptp.c3 @t15)))
% 65.75/65.97  (step @p202 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.c3 tptp.identity)))
% 65.75/65.97  (step @p203 :rule symm :premises (@p202))
% 65.75/65.97  (step @p204 :rule cong :premises (@p203 @p27) :args (@t63))
% 65.75/65.97  (step @p205 :rule trans :premises (@p204 @p201 @p195))
% 65.75/65.97  (step @p206 :rule cong :premises (@p205 @p60) :args (@t64))
% 65.75/65.97  (step @p207 :rule trans :premises (@p206 @p201 @p195))
% 65.75/65.97  (step @p208 :rule cong :premises (@p191 @p207) :args ((tptp.divide tptp.identity @t64)))
% 65.75/65.97  (step @p209 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t61 @t15)))
% 65.75/65.97  (step @p210 :rule trans :premises (@p209 @p208 @p193))
% 65.75/65.97  (step @p211 :rule cong :premises (@p23 @p210) :args (@t62))
% 65.75/65.97  (step @p212 :rule trans :premises (@p202 @p211))
% 65.75/65.97  (step @p213 :rule cong :premises (@p212 @p77) :args (@t60))
% 65.75/65.97  (step @p214 :rule trans :premises (@p191 @p213))
% 65.75/65.97  (step @p215 :rule cong :premises (@p214 @p190) :args (@t39))
% 65.75/65.97  (step @p216 :rule symm :premises (@p102))
% 65.75/65.97  (step @p217 :rule cong :premises (@p216 @p23) :args (@t65))
% 65.75/65.97  (step @p218 :rule trans :premises (@p217 @p184 @p176 @p215))
% 65.75/65.97  (step @p219 :rule trans :premises (@p172 @p143))
% 65.75/65.97  (step @p220 :rule cong :premises (@p219 @p218) :args ((tptp.divide @t24 @t65)))
% 65.75/65.97  (step @p221 :rule symm :premises (@p217))
% 65.75/65.97  (step @p222 :rule symm :premises (@p184))
% 65.75/65.97  (step @p223 :rule trans :premises (@p82 @p175 @p222 @p221))
% 65.75/65.97  (step @p224 :rule symm :premises (@p219))
% 65.75/65.97  (step @p225 :rule trans :premises (@p35 @p224))
% 65.75/65.97  (step @p226 :rule cong :premises (@p225 @p223) :args (@t66))
% 65.75/65.97  (step @p227 :rule trans :premises (@p226 @p220 @p74))
% 65.75/65.97  (step @p228 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.b3 tptp.identity)))
% 65.75/65.97  (step @p229 :rule symm :premises (@p228))
% 65.75/65.97  (step @p230 :rule instantiate :premises (@p8) :args ((@list tptp.identity (tptp.divide (tptp.divide @t67 tptp.identity) @t22) @t15)))
% 65.75/65.97  (step @p231 :rule symm :premises (@p230))
% 65.75/65.97  (step @p232 :rule cong :premises (@p228 @p27) :args (@t68))
% 65.75/65.97  (step @p233 :rule symm :premises (@p89))
% 65.75/65.97  (step @p234 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.b3)))
% 65.75/65.97  (step @p235 :rule symm :premises (@p234))
% 65.75/65.97  (step @p236 :rule cong :premises (@p235 @p23) :args (@t72))
% 65.75/65.97  (step @p237 :rule trans :premises (@p236 @p125))
% 65.75/65.97  (step @p238 :rule cong :premises (@p237 @p233) :args (@t73))
% 65.75/65.97  (step @p239 :rule trans :premises (@p238 @p125))
% 65.75/65.97  (step @p240 :rule cong :premises (@p23 @p239) :args ((tptp.divide tptp.identity @t73)))
% 65.75/65.97  (step @p241 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t71 tptp.identity)))
% 65.75/65.97  (step @p242 :rule refl :args (tptp.b3))
% 65.75/65.97  (step @p243 :rule cong :premises (@p25 @p242) :args (@t67))
% 65.75/65.97  (step @p244 :rule cong :premises (@p125 @p242) :args (@t70))
% 65.75/65.97  (step @p245 :rule trans :premises (@p244 @p243))
% 65.75/65.97  (step @p246 :rule refl :args (@t70))
% 65.75/65.97  (step @p247 :rule cong :premises (@p246 @p245) :args ((tptp.divide @t70 @t70)))
% 65.75/65.97  (step @p248 :rule symm :premises (@p245))
% 65.75/65.97  (step @p249 :rule symm :premises (@p244))
% 65.75/65.97  (step @p250 :rule instantiate :premises (@p4) :args ((@list tptp.b3)))
% 65.75/65.97  (step @p251 :rule symm :premises (@p250))
% 65.75/65.97  (step @p252 :rule cong :premises (@p251 @p242) :args (@t74))
% 65.75/65.97  (step @p253 :rule trans :premises (@p252 @p249))
% 65.75/65.97  (step @p254 :rule cong :premises (@p253 @p248) :args (@t75))
% 65.75/65.97  (step @p255 :rule trans :premises (@p254 @p247 @p241 @p240 @p125))
% 65.75/65.97  (step @p256 :rule cong :premises (@p249 @p248) :args (@t76))
% 65.75/65.97  (step @p257 :rule trans :premises (@p256 @p247 @p241 @p240 @p125))
% 65.75/65.97  (step @p258 :rule cong :premises (@p257 @p255) :args (@t77))
% 65.75/65.97  (step @p259 :rule cong :premises (@p242 @p258) :args ((tptp.divide tptp.b3 @t77)))
% 65.75/65.97  (step @p260 :rule instantiate :premises (@p8) :args ((@list tptp.b3 tptp.b3 @t69)))
% 65.75/65.97  (step @p261 :rule trans :premises (@p260 @p259 @p232))
% 65.75/65.97  (step @p262 :rule cong :premises (@p261 @p26) :args (@t68))
% 65.75/65.97  (step @p263 :rule trans :premises (@p260 @p259 @p262))
% 65.75/65.97  (step @p264 :rule cong :premises (@p251 @p263) :args (@t74))
% 65.75/65.97  (step @p265 :rule symm :premises (@p252))
% 65.75/65.97  (step @p266 :rule trans :premises (@p265 @p264 @p231))
% 65.75/65.97  (step @p267 :rule cong :premises (@p23 @p266) :args (@t78))
% 65.75/65.97  (step @p268 :rule symm :premises (@p243))
% 65.75/65.97  (step @p269 :rule cong :premises (@p81 @p268) :args (@t79))
% 65.75/65.97  (step @p270 :rule trans :premises (@p269 @p267 @p229))
% 65.75/65.97  (step @p271 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t70 @t12)))
% 65.75/65.97  (step @p272 :rule symm :premises (@p271))
% 65.75/65.97  (step @p273 :rule cong :premises (@p272 @p248) :args (@t81))
% 65.75/65.97  (step @p274 :rule trans :premises (@p273 @p247 @p241 @p240 @p125))
% 65.75/65.97  (step @p275 :rule trans :premises (@p274 @p250))
% 65.75/65.97  (step @p276 :rule cong :premises (@p275 @p270) :args (@t82))
% 65.75/65.97  (step @p277 :rule trans :premises (@p276 @p252))
% 65.75/65.97  (step @p278 :rule cong :premises (@p23 @p277) :args ((tptp.divide tptp.identity @t82)))
% 65.75/65.97  (step @p279 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t80 @t69)))
% 65.75/65.97  (step @p280 :rule refl :args (@t40))
% 65.75/65.97  (step @p281 :rule cong :premises (@p253 @p249) :args (@t83))
% 65.75/65.97  (step @p282 :rule trans :premises (@p281 @p247 @p241 @p240))
% 65.75/65.97  (step @p283 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3)))
% 65.75/65.97  (step @p284 :rule symm :premises (@p283))
% 65.75/65.97  (step @p285 :rule refl :args (@t67))
% 65.75/65.97  (step @p286 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a3 tptp.identity)))
% 65.75/65.97  (step @p287 :rule symm :premises (@p286))
% 65.75/65.97  (step @p288 :rule instantiate :premises (@p8) :args ((@list tptp.identity (tptp.divide (tptp.divide @t84 tptp.identity) @t22) @t15)))
% 65.75/65.97  (step @p289 :rule symm :premises (@p288))
% 65.75/65.97  (step @p290 :rule cong :premises (@p286 @p27) :args (@t85))
% 65.75/65.97  (step @p291 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.a3)))
% 65.75/65.97  (step @p292 :rule symm :premises (@p291))
% 65.75/65.97  (step @p293 :rule cong :premises (@p292 @p23) :args (@t89))
% 65.75/65.97  (step @p294 :rule trans :premises (@p293 @p125))
% 65.75/65.97  (step @p295 :rule cong :premises (@p294 @p233) :args (@t90))
% 65.75/65.97  (step @p296 :rule trans :premises (@p295 @p125))
% 65.75/65.97  (step @p297 :rule cong :premises (@p23 @p296) :args ((tptp.divide tptp.identity @t90)))
% 65.75/65.97  (step @p298 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t88 tptp.identity)))
% 65.75/65.97  (step @p299 :rule refl :args (tptp.a3))
% 65.75/65.97  (step @p300 :rule cong :premises (@p24 @p299) :args (@t87))
% 65.75/65.97  (step @p301 :rule refl :args (@t87))
% 65.75/65.97  (step @p302 :rule cong :premises (@p301 @p300) :args ((tptp.divide @t87 @t87)))
% 65.75/65.97  (step @p303 :rule symm :premises (@p300))
% 65.75/65.97  (step @p304 :rule instantiate :premises (@p4) :args ((@list tptp.a3)))
% 65.75/65.97  (step @p305 :rule symm :premises (@p304))
% 65.75/65.97  (step @p306 :rule trans :premises (@p305 @p25))
% 65.75/65.97  (step @p307 :rule cong :premises (@p306 @p299) :args (@t91))
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% 65.75/65.97  (step @p309 :rule cong :premises (@p308 @p303) :args (@t92))
% 65.75/65.97  (step @p310 :rule trans :premises (@p309 @p302 @p298 @p297 @p125))
% 65.75/65.97  (step @p311 :rule cong :premises (@p25 @p299) :args (@t84))
% 65.75/65.97  (step @p312 :rule trans :premises (@p311 @p303))
% 65.75/65.97  (step @p313 :rule cong :premises (@p312 @p303) :args (@t93))
% 65.75/65.97  (step @p314 :rule trans :premises (@p313 @p302 @p298 @p297 @p125))
% 65.75/65.97  (step @p315 :rule cong :premises (@p314 @p310) :args (@t94))
% 65.75/65.97  (step @p316 :rule cong :premises (@p299 @p315) :args ((tptp.divide tptp.a3 @t94)))
% 65.75/65.97  (step @p317 :rule instantiate :premises (@p8) :args ((@list tptp.a3 tptp.a3 @t86)))
% 65.75/65.97  (step @p318 :rule trans :premises (@p317 @p316 @p290))
% 65.75/65.97  (step @p319 :rule cong :premises (@p318 @p26) :args (@t85))
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% 65.75/65.97  (step @p321 :rule cong :premises (@p305 @p320) :args (@t91))
% 65.75/65.97  (step @p322 :rule symm :premises (@p307))
% 65.75/65.97  (step @p323 :rule trans :premises (@p311 @p322 @p321 @p289))
% 65.75/65.97  (step @p324 :rule cong :premises (@p23 @p323) :args (@t95))
% 65.75/65.97  (step @p325 :rule trans :premises (@p324 @p287))
% 65.75/65.97  (step @p326 :rule cong :premises (@p325 @p285) :args (@t96))
% 65.75/65.97  (step @p327 :rule trans :premises (@p326 @p284))
% 65.75/65.97  (step @p328 :rule cong :premises (@p327 @p282) :args (@t97))
% 65.75/65.97  (step @p329 :rule trans :premises (@p328 @p110 @p99))
% 65.75/65.97  (step @p330 :rule cong :premises (@p23 @p249) :args (@t78))
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% 65.75/65.97  (step @p333 :rule cong :premises (@p332 @p329) :args ((tptp.divide tptp.b3 @t97)))
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% 65.75/65.97  (step @p335 :rule symm :premises (@p311))
% 65.75/65.97  (step @p336 :rule trans :premises (@p300 @p335 @p334 @p333))
% 65.75/65.97  (step @p337 :rule trans :premises (@p312 @p336))
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% 65.75/65.97  (step @p340 :rule cong :premises (@p339 @p227) :args (@t99))
% 65.75/65.97  (step @p341 :rule trans :premises (@p340 @p72 @p65 @p64))
% 65.75/65.97  (step @p342 :rule cong :premises (@p32 @p341) :args ((tptp.divide @t13 @t99)))
% 65.75/65.97  (step @p343 :rule instantiate :premises (@p8) :args ((@list @t13 tptp.a3 @t40)))
% 65.75/65.97  (step @p344 :rule trans :premises (@p343 @p342 @p70))
% 65.75/65.97  (step @p345 :rule cong :premises (@p344 @p67) :args ((tptp.divide tptp.a3 @t31)))
% 65.75/65.97  (step @p346 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t10)))
% 65.75/65.97  (step @p347 :rule trans :premises (@p346 @p345))
% 65.75/65.97  (step @p348 :rule instantiate :premises (@p4) :args ((@list @t11)))
% 65.75/65.97  (step @p349 :rule symm :premises (@p348))
% 65.75/65.97  (step @p350 :rule cong :premises (@p349 @p347) :args ((tptp.divide (tptp.divide @t11 @t11) @t11)))
% 65.75/65.97  (step @p351 :rule cong :premises (@p348 @p17) :args (@t14))
% 65.75/65.97  (step @p352 :rule trans :premises (@p351 @p350 @p48))
% 65.75/65.97  (step @p353 :rule cong :premises (@p81 @p352) :args (@t17))
% 65.75/65.97  (step @p354 :rule trans :premises (@p353 @p46 @p19))
% 65.75/65.97  (step @p355 :rule instantiate :premises (@p4) :args ((@list @t14)))
% 65.75/65.97  (step @p356 :rule symm :premises (@p355))
% 65.75/65.97  (step @p357 :rule cong :premises (@p356 @p354) :args (@t18))
% 65.75/65.97  (step @p358 :rule cong :premises (@p23 @p357) :args (@t19))
% 65.75/65.97  (step @p359 :rule trans :premises (@p358 @p46 @p19))
% 65.75/65.97  (step @p360 :rule cong :premises (@p359 @p17) :args (@t21))
% 65.75/65.97  (step @p361 :rule trans :premises (@p360 @p16))
% 65.75/65.97  (step @p362 :rule eq_resolve :premises (@p361 @p15))
% 65.75/65.97  (step @p363 :rule false_elim :premises (@p362))
% 65.75/65.97  (assume-push @p370 @t100)
% 65.75/65.97  (step @p365 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t11 @t14)))
% 65.75/65.97  (step-pop @p371 :rule scope :premises (@p365))
% 65.75/65.97  (step @p366 :rule process_scope :premises (@p371) :args (@t20))
% 65.75/65.97  (step @p368 :rule implies_elim :premises (@p366))
% 65.75/65.97  (step @p369 false :rule chain_m_resolution :premises (@p368 @p363 @p8) :args (false (@list true false) (@list @t20 @t100)))
% 65.75/65.97  )
% 65.75/65.97  % SZS output end Proof
% 65.75/65.98  % cvc5 exiting
%------------------------------------------------------------------------------