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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ALG202+1 : TPTP v9.2.1. Released 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 : n010.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 08:05:29 AM UTC 2026

% Result   : Theorem 0.37s 0.58s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG202+1 : TPTP v9.2.1. Released v2.7.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n010.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Wed Jun  3 01:40:55 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.58  % SZS status Theorem
% 0.37/0.58  % SZS output start Proof
% 0.37/0.58  (
% 0.37/0.58  (declare-sort $$unsorted 0)
% 0.37/0.58  (declare-const tptp.j (-> $$unsorted $$unsorted))
% 0.37/0.58  (declare-const tptp.h (-> $$unsorted $$unsorted))
% 0.37/0.58  (declare-const tptp.sorti2 (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.58  (declare-const tptp.sorti1 (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.58  (define @t1 () (@var "V" $$unsorted))
% 0.37/0.58  (define @t2 () (@var "U" $$unsorted))
% 0.37/0.58  (define @t3 () (@list @t1))
% 0.37/0.58  (define @t4 () (tptp.sorti1 @t2))
% 0.37/0.58  (define @t5 () (@list @t2))
% 0.37/0.58  (define @t6 () (tptp.sorti2 @t1))
% 0.37/0.58  (define @t7 () (tptp.sorti2 @t2))
% 0.37/0.58  (define @t8 () (tptp.op1 @t2 @t2))
% 0.37/0.58  (define @t9 () (=> @t4 (= @t8 @t2)))
% 0.37/0.58  (define @t10 () (forall @t5 @t9))
% 0.37/0.58  (define @t11 () (tptp.op2 @t2 @t2))
% 0.37/0.58  (define @t12 () (=> @t7 (= @t11 @t2)))
% 0.37/0.58  (define @t13 () (forall @t5 @t12))
% 0.37/0.58  (define @t14 () (not @t13))
% 0.37/0.58  (define @t15 () (@var "X2" $$unsorted))
% 0.37/0.58  (define @t16 () (tptp.j (tptp.h @t15)))
% 0.37/0.58  (define @t17 () (tptp.sorti1 @t15))
% 0.37/0.58  (define @t18 () (=> @t17 (= @t16 @t15)))
% 0.37/0.58  (define @t19 () (@list @t15))
% 0.37/0.58  (define @t20 () (forall @t19 @t18))
% 0.37/0.58  (define @t21 () (@var "X1" $$unsorted))
% 0.37/0.58  (define @t22 () (tptp.h (tptp.j @t21)))
% 0.37/0.58  (define @t23 () (tptp.sorti2 @t21))
% 0.37/0.58  (define @t24 () (=> @t23 (= @t22 @t21)))
% 0.37/0.58  (define @t25 () (@list @t21))
% 0.37/0.58  (define @t26 () (forall @t25 @t24))
% 0.37/0.58  (define @t27 () (@var "Z" $$unsorted))
% 0.37/0.58  (define @t28 () (@var "Y" $$unsorted))
% 0.37/0.58  (define @t29 () (tptp.j @t28))
% 0.37/0.58  (define @t30 () (= (tptp.j (tptp.op2 @t28 @t27)) (tptp.op1 @t29 (tptp.j @t27))))
% 0.37/0.58  (define @t31 () (tptp.sorti2 @t27))
% 0.37/0.58  (define @t32 () (@list @t27))
% 0.37/0.58  (define @t33 () (forall @t32 (=> @t31 @t30)))
% 0.37/0.58  (define @t34 () (tptp.sorti2 @t28))
% 0.37/0.58  (define @t35 () (=> @t34 @t33))
% 0.37/0.58  (define @t36 () (@list @t28))
% 0.37/0.58  (define @t37 () (forall @t36 @t35))
% 0.37/0.58  (define @t38 () (@var "X" $$unsorted))
% 0.37/0.58  (define @t39 () (@var "W" $$unsorted))
% 0.37/0.58  (define @t40 () (tptp.h @t39))
% 0.37/0.58  (define @t41 () (= (tptp.h (tptp.op1 @t39 @t38)) (tptp.op2 @t40 (tptp.h @t38))))
% 0.37/0.58  (define @t42 () (tptp.sorti1 @t38))
% 0.37/0.58  (define @t43 () (@list @t38))
% 0.37/0.58  (define @t44 () (forall @t43 (=> @t42 @t41)))
% 0.37/0.58  (define @t45 () (tptp.sorti1 @t39))
% 0.37/0.58  (define @t46 () (=> @t45 @t44))
% 0.37/0.58  (define @t47 () (@list @t39))
% 0.37/0.58  (define @t48 () (forall @t47 @t46))
% 0.37/0.58  (define @t49 () (and @t48 @t37 @t26 @t20))
% 0.37/0.58  (define @t50 () (not @t49))
% 0.37/0.58  (define @t51 () (tptp.sorti1 (tptp.j @t1)))
% 0.37/0.58  (define @t52 () (forall @t3 (=> @t6 @t51)))
% 0.37/0.58  (define @t53 () (tptp.sorti2 (tptp.h @t2)))
% 0.37/0.58  (define @t54 () (forall @t5 (=> @t4 @t53)))
% 0.37/0.58  (define @t55 () (and @t54 @t52))
% 0.37/0.58  (define @t56 () (=> @t55 @t50))
% 0.37/0.58  (define @t57 () (not @t56))
% 0.37/0.58  (define @t58 () (= @t2 @t11))
% 0.37/0.58  (define @t59 () (@quantifiers_skolemize (forall @t5 (or (not @t7) @t58)) 0))
% 0.37/0.58  (define @t60 () (= @t59 (tptp.op2 @t59 @t59)))
% 0.37/0.58  (define @t61 () (tptp.sorti2 @t59))
% 0.37/0.58  (define @t62 () (not @t61))
% 0.37/0.58  (define @t63 () (or @t62 @t60))
% 0.37/0.58  (define @t64 () (not @t60))
% 0.37/0.58  (define @t65 () (@list true))
% 0.37/0.58  (define @t66 () (@list @t63))
% 0.37/0.58  (define @t67 () (= @t15 @t16))
% 0.37/0.58  (define @t68 () (= @t21 @t22))
% 0.37/0.58  (define @t69 () (@var "BOUND_VARIABLE_7597" $$unsorted))
% 0.37/0.58  (define @t70 () (= (tptp.j (tptp.op2 @t28 @t69)) (tptp.op1 @t29 (tptp.j @t69))))
% 0.37/0.58  (define @t71 () (not (tptp.sorti2 @t69)))
% 0.37/0.58  (define @t72 () (not @t34))
% 0.37/0.58  (define @t73 () (or @t71 @t70))
% 0.37/0.58  (define @t74 () (or @t72 @t73))
% 0.37/0.58  (define @t75 () (forall (@list @t28 @t69) @t74))
% 0.37/0.58  (define @t76 () (@list @t69))
% 0.37/0.58  (define @t77 () (forall @t76 @t74))
% 0.37/0.58  (define @t78 () (forall @t76 @t73))
% 0.37/0.58  (define @t79 () (or @t72 @t78))
% 0.37/0.58  (define @t80 () (forall @t32 (or (not @t31) @t30)))
% 0.37/0.58  (define @t81 () (@var "BOUND_VARIABLE_7574" $$unsorted))
% 0.37/0.58  (define @t82 () (= (tptp.h (tptp.op1 @t39 @t81)) (tptp.op2 @t40 (tptp.h @t81))))
% 0.37/0.58  (define @t83 () (not (tptp.sorti1 @t81)))
% 0.37/0.58  (define @t84 () (not @t45))
% 0.37/0.58  (define @t85 () (or @t83 @t82))
% 0.37/0.58  (define @t86 () (or @t84 @t85))
% 0.37/0.58  (define @t87 () (forall (@list @t39 @t81) @t86))
% 0.37/0.58  (define @t88 () (@list @t81))
% 0.37/0.58  (define @t89 () (forall @t88 @t86))
% 0.37/0.58  (define @t90 () (forall @t88 @t85))
% 0.37/0.58  (define @t91 () (or @t84 @t90))
% 0.37/0.58  (define @t92 () (forall @t43 (or (not @t42) @t41)))
% 0.37/0.58  (define @t93 () (@list @t59))
% 0.37/0.58  (define @t94 () (tptp.j @t59))
% 0.37/0.58  (define @t95 () (tptp.h @t94))
% 0.37/0.58  (define @t96 () (= @t59 @t95))
% 0.37/0.58  (define @t97 () (or @t62 @t96))
% 0.37/0.58  (define @t98 () (@list false false))
% 0.37/0.58  (define @t99 () (= @t2 @t8))
% 0.37/0.58  (define @t100 () (tptp.sorti1 @t94))
% 0.37/0.58  (define @t101 () (or @t62 @t100))
% 0.37/0.58  (define @t102 () (tptp.op1 @t94 @t94))
% 0.37/0.58  (define @t103 () (= @t94 @t102))
% 0.37/0.58  (define @t104 () (not @t100))
% 0.37/0.58  (define @t105 () (or @t104 @t103))
% 0.37/0.58  (define @t106 () (tptp.op2 @t95 @t95))
% 0.37/0.58  (define @t107 () (tptp.h @t102))
% 0.37/0.58  (define @t108 () (= @t107 @t106))
% 0.37/0.58  (define @t109 () (or @t104 @t104 @t108))
% 0.37/0.58  (define @t110 () (not @t108))
% 0.37/0.58  (define @t111 () (not @t103))
% 0.37/0.58  (define @t112 () (not @t96))
% 0.37/0.58  (define @t113 () (and @t64 @t96 @t103))
% 0.37/0.58  (assume @p1 (forall @t5 (=> @t4 (forall @t3 (=> (tptp.sorti1 @t1) (tptp.sorti1 (tptp.op1 @t2 @t1)))))))
% 0.37/0.58  (assume @p2 (forall @t5 (=> @t7 (forall @t3 (=> @t6 (tptp.sorti2 (tptp.op2 @t2 @t1)))))))
% 0.37/0.58  (assume @p3 @t10)
% 0.37/0.58  (assume @p4 @t14)
% 0.37/0.58  (assume @p5 @t57)
% 0.37/0.58  (assume @p6 true)
% 0.37/0.58  (step @p7 :rule bool-impl-elim :args (@t7 @t58))
% 0.37/0.58  (step @p8 :rule cong :premises (@p7) :args ((forall @t5 (=> @t7 @t58))))
% 0.37/0.58  (step @p9 :rule eq-symm :args (@t11 @t2))
% 0.37/0.58  (step @p10 :rule refl :args (@t7))
% 0.37/0.58  (step @p11 :rule cong :premises (@p10 @p9) :args (@t12))
% 0.37/0.58  (step @p12 :rule cong :premises (@p11) :args (@t13))
% 0.37/0.58  (step @p13 :rule trans :premises (@p12 @p8))
% 0.37/0.58  (step @p14 :rule cong :premises (@p13) :args (@t14))
% 0.37/0.58  (step @p15 :rule eq_resolve :premises (@p4 @p14))
% 0.37/0.58  (step @p16 :rule skolemize :premises (@p15))
% 0.37/0.58  (step @p17 :rule cnf_or_neg :args (@t63 1))
% 0.37/0.58  (step @p18 :rule chain_m_resolution :premises (@p17 @p16) :args (@t64 @t65 @t66))
% 0.37/0.58  (step @p19 :rule bool-impl-elim :args (@t17 @t67))
% 0.37/0.58  (step @p20 :rule cong :premises (@p19) :args ((forall @t19 (=> @t17 @t67))))
% 0.37/0.58  (step @p21 :rule eq-symm :args (@t16 @t15))
% 0.37/0.58  (step @p22 :rule refl :args (@t17))
% 0.37/0.58  (step @p23 :rule cong :premises (@p22 @p21) :args (@t18))
% 0.37/0.58  (step @p24 :rule cong :premises (@p23) :args (@t20))
% 0.37/0.58  (step @p25 :rule trans :premises (@p24 @p20))
% 0.37/0.58  (step @p26 :rule bool-impl-elim :args (@t23 @t68))
% 0.37/0.58  (step @p27 :rule cong :premises (@p26) :args ((forall @t25 (=> @t23 @t68))))
% 0.37/0.58  (step @p28 :rule eq-symm :args (@t22 @t21))
% 0.37/0.58  (step @p29 :rule refl :args (@t23))
% 0.37/0.58  (step @p30 :rule cong :premises (@p29 @p28) :args (@t24))
% 0.37/0.58  (step @p31 :rule cong :premises (@p30) :args (@t26))
% 0.37/0.58  (step @p32 :rule trans :premises (@p31 @p27))
% 0.37/0.58  (step @p33 :rule aci_norm :args ((= @t74 (or @t72 @t71 @t70))))
% 0.37/0.58  (step @p34 :rule cong :premises (@p33) :args (@t75))
% 0.37/0.58  (step @p35 :rule quant-merge-prenex :args ((= (forall @t36 @t77) @t75)))
% 0.37/0.58  (step @p36 :rule alpha_equiv :args (@t78 (@list @t69) (@list @t27)))
% 0.37/0.58  (step @p37 :rule refl :args (@t72))
% 0.37/0.58  (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t79))
% 0.37/0.58  (step @p39 :rule quant-miniscope-or :args ((= @t77 @t79)))
% 0.37/0.58  (step @p40 :rule trans :premises (@p39 @p38))
% 0.37/0.58  (step @p41 :rule symm :premises (@p40))
% 0.37/0.58  (step @p42 :rule cong :premises (@p41) :args ((forall @t36 (or @t72 @t80))))
% 0.37/0.58  (step @p43 :rule trans :premises (@p42 @p35))
% 0.37/0.58  (step @p44 :rule trans :premises (@p43 @p34))
% 0.37/0.58  (step @p45 :rule bool-impl-elim :args (@t34 @t80))
% 0.37/0.58  (step @p46 :rule cong :premises (@p45) :args ((forall @t36 (=> @t34 @t80))))
% 0.37/0.58  (step @p47 :rule trans :premises (@p46 @p44))
% 0.37/0.58  (step @p48 :rule bool-impl-elim :args (@t31 @t30))
% 0.37/0.58  (step @p49 :rule cong :premises (@p48) :args (@t33))
% 0.37/0.58  (step @p50 :rule refl :args (@t34))
% 0.37/0.58  (step @p51 :rule cong :premises (@p50 @p49) :args (@t35))
% 0.37/0.58  (step @p52 :rule cong :premises (@p51) :args (@t37))
% 0.37/0.58  (step @p53 :rule trans :premises (@p52 @p47))
% 0.37/0.58  (step @p54 :rule aci_norm :args ((= @t86 (or @t84 @t83 @t82))))
% 0.37/0.58  (step @p55 :rule cong :premises (@p54) :args (@t87))
% 0.37/0.58  (step @p56 :rule quant-merge-prenex :args ((= (forall @t47 @t89) @t87)))
% 0.37/0.58  (step @p57 :rule alpha_equiv :args (@t90 (@list @t81) (@list @t38)))
% 0.37/0.58  (step @p58 :rule refl :args (@t84))
% 0.37/0.58  (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t91))
% 0.37/0.58  (step @p60 :rule quant-miniscope-or :args ((= @t89 @t91)))
% 0.37/0.58  (step @p61 :rule trans :premises (@p60 @p59))
% 0.37/0.58  (step @p62 :rule symm :premises (@p61))
% 0.37/0.58  (step @p63 :rule cong :premises (@p62) :args ((forall @t47 (or @t84 @t92))))
% 0.37/0.58  (step @p64 :rule trans :premises (@p63 @p56))
% 0.37/0.58  (step @p65 :rule trans :premises (@p64 @p55))
% 0.37/0.58  (step @p66 :rule bool-impl-elim :args (@t45 @t92))
% 0.37/0.58  (step @p67 :rule cong :premises (@p66) :args ((forall @t47 (=> @t45 @t92))))
% 0.37/0.58  (step @p68 :rule trans :premises (@p67 @p65))
% 0.37/0.58  (step @p69 :rule bool-impl-elim :args (@t42 @t41))
% 0.37/0.58  (step @p70 :rule cong :premises (@p69) :args (@t44))
% 0.37/0.58  (step @p71 :rule refl :args (@t45))
% 0.37/0.58  (step @p72 :rule cong :premises (@p71 @p70) :args (@t46))
% 0.37/0.58  (step @p73 :rule cong :premises (@p72) :args (@t48))
% 0.37/0.58  (step @p74 :rule trans :premises (@p73 @p68))
% 0.37/0.58  (step @p75 :rule nary_cong :premises (@p74 @p53 @p32 @p25) :args (@t49))
% 0.37/0.58  (step @p76 :rule cong :premises (@p75) :args (@t50))
% 0.37/0.58  (step @p77 :rule bool-impl-elim :args (@t6 @t51))
% 0.37/0.58  (step @p78 :rule cong :premises (@p77) :args (@t52))
% 0.37/0.58  (step @p79 :rule bool-impl-elim :args (@t4 @t53))
% 0.37/0.58  (step @p80 :rule cong :premises (@p79) :args (@t54))
% 0.37/0.58  (step @p81 :rule nary_cong :premises (@p80 @p78) :args (@t55))
% 0.37/0.58  (step @p82 :rule cong :premises (@p81 @p76) :args (@t56))
% 0.37/0.58  (step @p83 :rule cong :premises (@p82) :args (@t57))
% 0.37/0.58  (step @p84 :rule eq_resolve :premises (@p5 @p83))
% 0.37/0.58  (step @p85 :rule not_implies_elim2 :premises (@p84))
% 0.37/0.58  (step @p86 :rule not_not_elim :premises (@p85))
% 0.37/0.58  (step @p87 :rule and_elim :premises (@p86) :args (2))
% 0.37/0.58  (step @p88 :rule instantiate :premises (@p87) :args (@t93))
% 0.37/0.58  (step @p89 :rule bool-double-not-elim :args (@t61))
% 0.37/0.58  (step @p90 :rule refl :args (@t63))
% 0.37/0.58  (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t63 (not @t62))))
% 0.37/0.58  (step @p92 :rule cnf_or_neg :args (@t63 0))
% 0.37/0.58  (step @p93 :rule eq_resolve :premises (@p92 @p91))
% 0.37/0.58  (step @p94 :rule reordering :premises (@p93) :args ((or @t61 @t63)))
% 0.37/0.58  (step @p95 :rule chain_m_resolution :premises (@p94 @p16) :args (@t61 @t65 @t66))
% 0.37/0.58  (step @p96 :rule cnf_or_pos :args (@t97))
% 0.37/0.58  (step @p97 :rule reordering :premises (@p96) :args ((or @t62 @t96 (not @t97))))
% 0.37/0.58  (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p88) :args (@t96 @t98 (@list @t61 @t97)))
% 0.37/0.58  (step @p99 :rule bool-impl-elim :args (@t4 @t99))
% 0.37/0.58  (step @p100 :rule cong :premises (@p99) :args ((forall @t5 (=> @t4 @t99))))
% 0.37/0.58  (step @p101 :rule eq-symm :args (@t8 @t2))
% 0.37/0.58  (step @p102 :rule refl :args (@t4))
% 0.37/0.58  (step @p103 :rule cong :premises (@p102 @p101) :args (@t9))
% 0.37/0.58  (step @p104 :rule cong :premises (@p103) :args (@t10))
% 0.37/0.58  (step @p105 :rule trans :premises (@p104 @p100))
% 0.37/0.58  (step @p106 :rule eq_resolve :premises (@p3 @p105))
% 0.37/0.58  (step @p107 :rule instantiate :premises (@p106) :args ((@list @t94)))
% 0.37/0.58  (step @p108 :rule not_implies_elim1 :premises (@p84))
% 0.37/0.58  (step @p109 :rule and_elim :premises (@p108) :args (1))
% 0.37/0.58  (step @p110 :rule instantiate :premises (@p109) :args (@t93))
% 0.37/0.58  (step @p111 :rule cnf_or_pos :args (@t101))
% 0.37/0.58  (step @p112 :rule reordering :premises (@p111) :args ((or @t62 @t100 (not @t101))))
% 0.37/0.58  (step @p113 :rule chain_m_resolution :premises (@p112 @p95 @p110) :args (@t100 @t98 (@list @t61 @t101)))
% 0.37/0.58  (step @p114 :rule cnf_or_pos :args (@t105))
% 0.37/0.58  (step @p115 :rule reordering :premises (@p114) :args ((or @t104 @t103 (not @t105))))
% 0.37/0.58  (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p107) :args (@t103 @t98 (@list @t100 @t105)))
% 0.37/0.58  (step @p117 :rule and_elim :premises (@p86) :args (0))
% 0.37/0.58  (step @p118 :rule instantiate :premises (@p117) :args ((@list @t94 @t94)))
% 0.37/0.58  (step @p119 :rule cnf_or_pos :args (@t109))
% 0.37/0.58  (step @p120 :rule factoring :premises (@p119))
% 0.37/0.58  (step @p121 :rule reordering :premises (@p120) :args ((or @t104 @t108 (not @t109))))
% 0.37/0.58  (step @p122 :rule chain_m_resolution :premises (@p121 @p113 @p118) :args (@t108 @t98 (@list @t100 @t109)))
% 0.37/0.58  (step @p123 :rule refl :args (@t110))
% 0.37/0.58  (step @p124 :rule refl :args (@t111))
% 0.37/0.58  (step @p125 :rule refl :args (@t112))
% 0.37/0.58  (step @p126 :rule bool-double-not-elim :args (@t60))
% 0.37/0.58  (step @p127 :rule nary_cong :premises (@p126 @p125 @p124 @p123) :args ((or (not @t64) @t112 @t111 @t110)))
% 0.37/0.58  (assume-push @p149 @t64)
% 0.37/0.58  (assume-push @p150 @t96)
% 0.37/0.58  (assume-push @p151 @t103)
% 0.37/0.58  (step @p131 :rule false_intro :premises (@p18))
% 0.37/0.58  (step @p132 :rule symm :premises (@p98))
% 0.37/0.58  (step @p133 :rule cong :premises (@p132 @p132) :args (@t106))
% 0.37/0.58  (step @p134 :rule symm :premises (@p116))
% 0.37/0.58  (step @p135 :rule cong :premises (@p134) :args (@t107))
% 0.37/0.58  (step @p136 :rule trans :premises (@p135 @p132))
% 0.37/0.58  (step @p137 :rule cong :premises (@p136 @p133) :args (@t108))
% 0.37/0.59  (step @p138 :rule trans :premises (@p137 @p131))
% 0.37/0.59  (step @p139 :rule false_elim :premises (@p138))
% 0.37/0.59  (step-pop @p152 :rule scope :premises (@p139))
% 0.37/0.59  (step-pop @p153 :rule scope :premises (@p152))
% 0.37/0.59  (step-pop @p154 :rule scope :premises (@p153))
% 0.37/0.59  (step @p140 :rule process_scope :premises (@p154) :args (@t110))
% 0.37/0.59  (step @p144 :rule implies_elim :premises (@p140))
% 0.37/0.59  (step @p145 :rule cnf_and_neg :args (@t113))
% 0.37/0.59  (step @p146 :rule resolution :premises (@p145 @p144) :args (true @t113))
% 0.37/0.59  (step @p147 :rule eq_resolve :premises (@p146 @p127))
% 0.37/0.59  (step @p148 false :rule chain_m_resolution :premises (@p147 @p122 @p116 @p98 @p18) :args (false (@list false false false true) (@list @t108 @t103 @t96 @t60)))
% 0.37/0.59  )
% 0.37/0.59  % SZS output end Proof
% 0.37/0.59  % cvc5 exiting
%------------------------------------------------------------------------------