↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO114^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 09:12:03 AM UTC 2026

% Result   : Theorem 0.36s 0.57s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO114^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n005.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
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Tue Jun  2 23:59:03 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TH0
% 0.36/0.57  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.36/0.57  % SZS status Theorem
% 0.36/0.57  % SZS output start Proof
% 0.36/0.57  (
% 0.36/0.57  (declare-sort $$unsorted 0)
% 0.36/0.57  (declare-const tptp.cR (-> $$unsorted Bool))
% 0.36/0.57  (declare-const tptp.c $$unsorted)
% 0.36/0.57  (declare-const tptp.cQ (-> $$unsorted Bool))
% 0.36/0.57  (declare-const tptp.d $$unsorted)
% 0.36/0.57  (declare-const tptp.a $$unsorted)
% 0.36/0.57  (declare-const tptp.cP (-> $$unsorted Bool))
% 0.36/0.57  (declare-const tptp.b $$unsorted)
% 0.36/0.57  (define @t1 () (_ tptp.cP tptp.b))
% 0.36/0.57  (define @t2 () (not @t1))
% 0.36/0.57  (define @t3 () (_ tptp.cP tptp.a))
% 0.36/0.57  (define @t4 () (not @t3))
% 0.36/0.57  (define @t5 () (or @t4 @t2))
% 0.36/0.57  (define @t6 () (_ tptp.cQ tptp.d))
% 0.36/0.57  (define @t7 () (not @t6))
% 0.36/0.57  (define @t8 () (_ tptp.cQ tptp.c))
% 0.36/0.57  (define @t9 () (not @t8))
% 0.36/0.57  (define @t10 () (@var "Xy" $$unsorted))
% 0.36/0.57  (define @t11 () (_ tptp.cQ @t10))
% 0.36/0.57  (define @t12 () (not @t11))
% 0.36/0.57  (define @t13 () (@var "Xx" $$unsorted))
% 0.36/0.57  (define @t14 () (_ tptp.cQ @t13))
% 0.36/0.57  (define @t15 () (not @t14))
% 0.36/0.57  (define @t16 () (_ tptp.cP @t13))
% 0.36/0.57  (define @t17 () (or @t16 @t15 @t12 @t9 @t7))
% 0.36/0.57  (define @t18 () (@list @t10))
% 0.36/0.57  (define @t19 () (exists @t18 @t17))
% 0.36/0.57  (define @t20 () (@list @t13))
% 0.36/0.57  (define @t21 () (forall @t20 @t19))
% 0.36/0.57  (define @t22 () (@var "Xz" $$unsorted))
% 0.36/0.57  (define @t23 () (_ tptp.cQ @t22))
% 0.36/0.57  (define @t24 () (or (_ tptp.cP @t22) (_ tptp.cR @t22)))
% 0.36/0.57  (define @t25 () (@list @t22))
% 0.36/0.57  (define @t26 () (forall @t25 (and @t24 @t23)))
% 0.36/0.57  (define @t27 () (and @t26 @t21 @t5))
% 0.36/0.57  (define @t28 () (@var "BOUND_VARIABLE_7453" $$unsorted))
% 0.36/0.57  (define @t29 () (tptp.cQ @t28))
% 0.36/0.57  (define @t30 () (@list @t28))
% 0.36/0.57  (define @t31 () (forall @t30 @t29))
% 0.36/0.57  (define @t32 () (@var "BOUND_VARIABLE_7446" $$unsorted))
% 0.36/0.57  (define @t33 () (tptp.cR @t32))
% 0.36/0.57  (define @t34 () (tptp.cP @t32))
% 0.36/0.57  (define @t35 () (@list @t32))
% 0.36/0.57  (define @t36 () (forall @t35 (or @t34 @t33)))
% 0.36/0.57  (define @t37 () (tptp.cP tptp.b))
% 0.36/0.57  (define @t38 () (tptp.cP tptp.a))
% 0.36/0.57  (define @t39 () (tptp.cQ @t13))
% 0.36/0.57  (define @t40 () (tptp.cP @t13))
% 0.36/0.57  (define @t41 () (forall @t20 (or @t40 (not @t39))))
% 0.36/0.57  (define @t42 () (tptp.cQ tptp.d))
% 0.36/0.57  (define @t43 () (tptp.cQ tptp.c))
% 0.36/0.57  (define @t44 () (@var "BOUND_VARIABLE_7472" $$unsorted))
% 0.36/0.57  (define @t45 () (tptp.cQ @t44))
% 0.36/0.57  (define @t46 () (@list @t44))
% 0.36/0.57  (define @t47 () (forall @t46 @t45))
% 0.36/0.57  (define @t48 () (not @t47))
% 0.36/0.57  (define @t49 () (or @t48 @t9 @t7 @t41))
% 0.36/0.57  (define @t50 () (and @t49 @t5 @t36 @t31))
% 0.36/0.57  (define @t51 () (or @t16 @t15))
% 0.36/0.57  (define @t52 () (forall @t20 @t51))
% 0.36/0.57  (define @t53 () (or @t48 @t9 @t7 @t52))
% 0.36/0.57  (define @t54 () (or @t48 @t9 @t7 @t51))
% 0.36/0.57  (define @t55 () (or @t16 @t15 @t48 @t9 @t7))
% 0.36/0.57  (define @t56 () (not @t16))
% 0.36/0.57  (define @t57 () (not @t56))
% 0.36/0.57  (define @t58 () (or @t57 @t15 @t48 @t9 @t7))
% 0.36/0.57  (define @t59 () (or @t9 @t7))
% 0.36/0.57  (define @t60 () (_ tptp.cQ @t44))
% 0.36/0.57  (define @t61 () (forall @t46 @t60))
% 0.36/0.57  (define @t62 () (forall @t18 @t6))
% 0.36/0.57  (define @t63 () (forall @t18 @t8))
% 0.36/0.57  (define @t64 () (forall @t18 @t11))
% 0.36/0.57  (define @t65 () (@list @t44))
% 0.36/0.57  (define @t66 () (forall @t18 @t14))
% 0.36/0.57  (define @t67 () (forall @t18 @t56))
% 0.36/0.57  (define @t68 () (and @t67 @t66 @t64 @t63 @t62))
% 0.36/0.57  (define @t69 () (not @t7))
% 0.36/0.57  (define @t70 () (not @t9))
% 0.36/0.57  (define @t71 () (not @t12))
% 0.36/0.57  (define @t72 () (not @t15))
% 0.36/0.57  (define @t73 () (and @t56 @t72 @t71 @t70 @t69))
% 0.36/0.57  (define @t74 () (forall @t18 (not @t17)))
% 0.36/0.57  (define @t75 () (not @t74))
% 0.36/0.57  (define @t76 () (_ tptp.cQ @t28))
% 0.36/0.57  (define @t77 () (forall @t30 @t76))
% 0.36/0.57  (define @t78 () (_ tptp.cR @t32))
% 0.36/0.57  (define @t79 () (_ tptp.cP @t32))
% 0.36/0.57  (define @t80 () (or @t79 @t78))
% 0.36/0.57  (define @t81 () (forall @t35 @t80))
% 0.36/0.57  (define @t82 () (forall @t25 @t23))
% 0.36/0.57  (define @t83 () (@list @t22))
% 0.36/0.57  (define @t84 () (@list @t28))
% 0.36/0.57  (define @t85 () (forall @t25 @t24))
% 0.36/0.57  (define @t86 () (and @t85 @t82))
% 0.36/0.57  (define @t87 () (@list false))
% 0.36/0.57  (define @t88 () (@list tptp.b))
% 0.36/0.57  (define @t89 () (@list tptp.a))
% 0.36/0.57  (define @t90 () (tptp.cQ tptp.a))
% 0.36/0.57  (define @t91 () (not @t90))
% 0.36/0.57  (define @t92 () (or @t38 @t91))
% 0.36/0.57  (define @t93 () (not @t37))
% 0.36/0.57  (define @t94 () (tptp.cQ tptp.b))
% 0.36/0.57  (define @t95 () (not @t94))
% 0.36/0.57  (define @t96 () (or @t37 @t95))
% 0.36/0.57  (define @t97 () (@list true false))
% 0.36/0.57  (assume @p1 (not (not @t27)))
% 0.36/0.57  (assume @p2 true)
% 0.36/0.57  (step @p3 :rule refl :args (@t31))
% 0.36/0.57  (step @p4 :rule refl :args (@t36))
% 0.36/0.57  (step @p5 :rule refl :args (@t37))
% 0.36/0.57  (step @p6 :rule refl :args (@t1))
% 0.36/0.57  (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t1 @t37)))
% 0.36/0.57  (step @p8 :rule symm :premises (@p7))
% 0.36/0.57  (step @p9 :rule eq_resolve :premises (@p6 @p8))
% 0.36/0.57  (step @p10 :rule cong :premises (@p9) :args (@t2))
% 0.36/0.57  (step @p11 :rule refl :args (@t38))
% 0.36/0.57  (step @p12 :rule refl :args (@t3))
% 0.36/0.57  (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t3 @t38)))
% 0.36/0.57  (step @p14 :rule symm :premises (@p13))
% 0.36/0.57  (step @p15 :rule eq_resolve :premises (@p12 @p14))
% 0.36/0.57  (step @p16 :rule cong :premises (@p15) :args (@t4))
% 0.36/0.57  (step @p17 :rule nary_cong :premises (@p16 @p10) :args (@t5))
% 0.36/0.57  (step @p18 :rule refl :args (@t41))
% 0.36/0.57  (step @p19 :rule refl :args (@t42))
% 0.36/0.57  (step @p20 :rule refl :args (@t6))
% 0.36/0.57  (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t6 @t42)))
% 0.36/0.57  (step @p22 :rule symm :premises (@p21))
% 0.36/0.57  (step @p23 :rule eq_resolve :premises (@p20 @p22))
% 0.36/0.57  (step @p24 :rule cong :premises (@p23) :args (@t7))
% 0.36/0.57  (step @p25 :rule refl :args (@t43))
% 0.36/0.57  (step @p26 :rule refl :args (@t8))
% 0.36/0.57  (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t8 @t43)))
% 0.36/0.57  (step @p28 :rule symm :premises (@p27))
% 0.36/0.57  (step @p29 :rule eq_resolve :premises (@p26 @p28))
% 0.36/0.57  (step @p30 :rule cong :premises (@p29) :args (@t9))
% 0.36/0.57  (step @p31 :rule refl :args (@t48))
% 0.36/0.57  (step @p32 :rule nary_cong :premises (@p31 @p30 @p24 @p18) :args (@t49))
% 0.36/0.57  (step @p33 :rule nary_cong :premises (@p32 @p17 @p4 @p3) :args (@t50))
% 0.36/0.57  (step @p34 :rule aci_norm :args ((= (and (and @t36 @t31) @t49 @t5) @t50)))
% 0.36/0.57  (step @p35 :rule refl :args (@t5))
% 0.36/0.57  (step @p36 :rule refl :args (@t39))
% 0.36/0.57  (step @p37 :rule refl :args (@t14))
% 0.36/0.57  (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t14 @t39)))
% 0.36/0.57  (step @p39 :rule symm :premises (@p38))
% 0.36/0.57  (step @p40 :rule eq_resolve :premises (@p37 @p39))
% 0.36/0.57  (step @p41 :rule cong :premises (@p40) :args (@t15))
% 0.36/0.57  (step @p42 :rule refl :args (@t40))
% 0.36/0.57  (step @p43 :rule refl :args (@t16))
% 0.36/0.57  (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t16 @t40)))
% 0.36/0.57  (step @p45 :rule symm :premises (@p44))
% 0.36/0.57  (step @p46 :rule eq_resolve :premises (@p43 @p45))
% 0.36/0.57  (step @p47 :rule nary_cong :premises (@p46 @p41) :args (@t51))
% 0.36/0.57  (step @p48 :rule cong :premises (@p47) :args (@t52))
% 0.36/0.57  (step @p49 :rule refl :args (@t7))
% 0.36/0.57  (step @p50 :rule refl :args (@t9))
% 0.36/0.57  (step @p51 :rule nary_cong :premises (@p31 @p50 @p49 @p48) :args (@t53))
% 0.36/0.57  (step @p52 :rule quant-miniscope-or :args ((= (forall @t20 @t54) @t53)))
% 0.36/0.57  (step @p53 :rule aci_norm :args ((= @t55 @t54)))
% 0.36/0.57  (step @p54 :rule cong :premises (@p53) :args ((forall @t20 @t55)))
% 0.36/0.57  (step @p55 :rule trans :premises (@p54 @p52))
% 0.36/0.57  (step @p56 :rule trans :premises (@p55 @p51))
% 0.36/0.57  (step @p57 :rule refl :args (@t7))
% 0.36/0.57  (step @p58 :rule refl :args (@t9))
% 0.36/0.57  (step @p59 :rule refl :args (@t48))
% 0.36/0.57  (step @p60 :rule refl :args (@t15))
% 0.36/0.57  (step @p61 :rule bool-double-not-elim :args (@t16))
% 0.36/0.57  (step @p62 :rule nary_cong :premises (@p61 @p60 @p59 @p58 @p57) :args (@t58))
% 0.36/0.57  (step @p63 :rule aci_norm :args ((= (or @t57 (or @t15 (or @t48 @t59))) @t58)))
% 0.36/0.57  (step @p64 :rule trans :premises (@p63 @p62))
% 0.36/0.57  (step @p65 :rule bool-and-de-morgan :args (@t8 @t6 true))
% 0.36/0.57  (step @p66 :rule nary_cong :premises (@p59 @p65) :args ((or @t48 (not (and @t8 @t6)))))
% 0.36/0.57  (step @p67 :rule bool-and-de-morgan :args (@t47 @t8 (and @t6)))
% 0.36/0.57  (step @p68 :rule trans :premises (@p67 @p66))
% 0.36/0.57  (step @p69 :rule nary_cong :premises (@p60 @p68) :args ((or @t15 (not (and @t47 @t8 @t6)))))
% 0.36/0.57  (step @p70 :rule bool-and-de-morgan :args (@t14 @t47 (and @t8 @t6)))
% 0.36/0.57  (step @p71 :rule trans :premises (@p70 @p69))
% 0.36/0.57  (step @p72 :rule refl :args (@t57))
% 0.36/0.57  (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t57 (not (and @t14 @t47 @t8 @t6)))))
% 0.36/0.57  (step @p74 :rule bool-and-de-morgan :args (@t56 @t14 (and @t47 @t8 @t6)))
% 0.36/0.57  (step @p75 :rule trans :premises (@p74 @p73))
% 0.36/0.57  (step @p76 :rule trans :premises (@p75 @p64))
% 0.36/0.57  (step @p77 :rule cong :premises (@p76) :args ((forall @t20 (not (and @t56 @t14 @t47 @t8 @t6)))))
% 0.36/0.57  (step @p78 :rule trans :premises (@p77 @p56))
% 0.36/0.57  (step @p79 :rule refl :args (@t6))
% 0.36/0.57  (step @p80 :rule refl :args (@t8))
% 0.36/0.57  (step @p81 :rule refl :args (@t45))
% 0.36/0.57  (step @p82 :rule refl :args (@t60))
% 0.36/0.57  (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t60 @t45)))
% 0.36/0.57  (step @p84 :rule symm :premises (@p83))
% 0.36/0.57  (step @p85 :rule eq_resolve :premises (@p82 @p84))
% 0.36/0.57  (step @p86 :rule cong :premises (@p85) :args (@t61))
% 0.36/0.57  (step @p87 :rule refl :args (@t14))
% 0.36/0.57  (step @p88 :rule refl :args (@t56))
% 0.36/0.57  (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p80 @p79) :args ((and @t56 @t14 @t61 @t8 @t6)))
% 0.36/0.57  (step @p90 :rule quant-unused-vars :args ((= @t62 @t6)))
% 0.36/0.57  (step @p91 :rule quant-unused-vars :args ((= @t63 @t8)))
% 0.36/0.57  (step @p92 :rule alpha_equiv :args (@t64 (@list @t10) @t65))
% 0.36/0.57  (step @p93 :rule quant-unused-vars :args ((= @t66 @t14)))
% 0.36/0.57  (step @p94 :rule quant-unused-vars :args ((= @t67 @t56)))
% 0.36/0.57  (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91 @p90) :args (@t68))
% 0.36/0.57  (step @p96 :rule quant-miniscope-and :args ((= (forall @t18 (and @t56 @t14 @t11 @t8 @t6)) @t68)))
% 0.36/0.57  (step @p97 :rule trans :premises (@p96 @p95))
% 0.36/0.57  (step @p98 :rule trans :premises (@p97 @p89))
% 0.36/0.57  (step @p99 :rule bool-double-not-elim :args (@t6))
% 0.36/0.57  (step @p100 :rule bool-double-not-elim :args (@t8))
% 0.36/0.57  (step @p101 :rule bool-double-not-elim :args (@t11))
% 0.36/0.57  (step @p102 :rule bool-double-not-elim :args (@t14))
% 0.36/0.57  (step @p103 :rule refl :args (@t56))
% 0.36/0.57  (step @p104 :rule nary_cong :premises (@p103 @p102 @p101 @p100 @p99) :args (@t73))
% 0.36/0.57  (step @p105 :rule aci_norm :args ((= (and @t56 (and @t72 (and @t71 (and @t70 @t69)))) @t73)))
% 0.36/0.57  (step @p106 :rule trans :premises (@p105 @p104))
% 0.36/0.57  (step @p107 :rule bool-or-de-morgan :args (@t9 @t7 false))
% 0.36/0.57  (step @p108 :rule refl :args (@t71))
% 0.36/0.57  (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((and @t71 (not @t59))))
% 0.36/0.57  (step @p110 :rule bool-or-de-morgan :args (@t12 @t9 (or @t7)))
% 0.36/0.57  (step @p111 :rule trans :premises (@p110 @p109))
% 0.36/0.57  (step @p112 :rule refl :args (@t72))
% 0.36/0.57  (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((and @t72 (not (or @t12 @t9 @t7)))))
% 0.36/0.57  (step @p114 :rule bool-or-de-morgan :args (@t15 @t12 (or @t9 @t7)))
% 0.36/0.57  (step @p115 :rule trans :premises (@p114 @p113))
% 0.36/0.57  (step @p116 :rule nary_cong :premises (@p103 @p115) :args ((and @t56 (not (or @t15 @t12 @t9 @t7)))))
% 0.36/0.57  (step @p117 :rule bool-or-de-morgan :args (@t16 @t15 (or @t12 @t9 @t7)))
% 0.36/0.57  (step @p118 :rule trans :premises (@p117 @p116))
% 0.36/0.57  (step @p119 :rule trans :premises (@p118 @p106))
% 0.36/0.57  (step @p120 :rule cong :premises (@p119) :args (@t74))
% 0.36/0.57  (step @p121 :rule trans :premises (@p120 @p98))
% 0.36/0.57  (step @p122 :rule cong :premises (@p121) :args (@t75))
% 0.36/0.57  (step @p123 :rule exists-elim :args ((= @t19 @t75)))
% 0.36/0.57  (step @p124 :rule trans :premises (@p123 @p122))
% 0.36/0.57  (step @p125 :rule cong :premises (@p124) :args (@t21))
% 0.36/0.57  (step @p126 :rule trans :premises (@p125 @p78))
% 0.36/0.57  (step @p127 :rule refl :args (@t29))
% 0.36/0.57  (step @p128 :rule refl :args (@t76))
% 0.36/0.57  (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t76 @t29)))
% 0.36/0.57  (step @p130 :rule symm :premises (@p129))
% 0.36/0.57  (step @p131 :rule eq_resolve :premises (@p128 @p130))
% 0.36/0.57  (step @p132 :rule cong :premises (@p131) :args (@t77))
% 0.36/0.57  (step @p133 :rule refl :args (@t33))
% 0.36/0.57  (step @p134 :rule refl :args (@t78))
% 0.36/0.57  (step @p135 :rule cong :premises (@p134 @p133) :args ((= @t78 @t33)))
% 0.36/0.57  (step @p136 :rule symm :premises (@p135))
% 0.36/0.57  (step @p137 :rule eq_resolve :premises (@p134 @p136))
% 0.36/0.57  (step @p138 :rule refl :args (@t34))
% 0.36/0.57  (step @p139 :rule refl :args (@t79))
% 0.36/0.57  (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t79 @t34)))
% 0.36/0.57  (step @p141 :rule symm :premises (@p140))
% 0.36/0.57  (step @p142 :rule eq_resolve :premises (@p139 @p141))
% 0.36/0.57  (step @p143 :rule nary_cong :premises (@p142 @p137) :args (@t80))
% 0.36/0.57  (step @p144 :rule cong :premises (@p143) :args (@t81))
% 0.36/0.57  (step @p145 :rule nary_cong :premises (@p144 @p132) :args ((and @t81 @t77)))
% 0.36/0.57  (step @p146 :rule alpha_equiv :args (@t82 @t83 @t84))
% 0.36/0.57  (step @p147 :rule alpha_equiv :args (@t85 @t83 (@list @t32)))
% 0.36/0.57  (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t86))
% 0.36/0.57  (step @p149 :rule quant-miniscope-and :args ((= @t26 @t86)))
% 0.36/0.57  (step @p150 :rule trans :premises (@p149 @p148))
% 0.36/0.57  (step @p151 :rule trans :premises (@p150 @p145))
% 0.36/0.57  (step @p152 :rule nary_cong :premises (@p151 @p126 @p35) :args (@t27))
% 0.36/0.57  (step @p153 :rule trans :premises (@p152 @p34))
% 0.36/0.57  (step @p154 :rule bool-double-not-elim :args (@t27))
% 0.36/0.57  (step @p155 :rule trans :premises (@p154 @p153))
% 0.36/0.57  (step @p156 :rule trans :premises (@p155 @p33))
% 0.36/0.57  (step @p157 :rule eq_resolve :premises (@p1 @p156))
% 0.36/0.57  (step @p158 :rule and_elim :premises (@p157) :args (3))
% 0.36/0.57  (step @p159 :rule alpha_equiv :args (@t47 @t65 @t84))
% 0.36/0.57  (step @p160 :rule symm :premises (@p159))
% 0.36/0.57  (step @p161 :rule equiv_elim1 :premises (@p160))
% 0.36/0.57  (step @p162 :rule reordering :premises (@p161) :args ((or @t47 (not @t31))))
% 0.36/0.57  (step @p163 :rule chain_m_resolution :premises (@p162 @p158) :args (@t47 @t87 (@list @t31)))
% 0.36/0.57  (step @p164 :rule instantiate :premises (@p163) :args ((@list tptp.c)))
% 0.36/0.57  (step @p165 :rule instantiate :premises (@p163) :args ((@list tptp.d)))
% 0.36/0.57  (step @p166 :rule and_elim :premises (@p157) :args (0))
% 0.36/0.57  (step @p167 :rule reordering :premises (@p166) :args ((or @t48 @t41 (not @t42) (not @t43))))
% 0.36/0.57  (step @p168 :rule chain_m_resolution :premises (@p167 @p163 @p165 @p164) :args (@t41 (@list false false false) (@list @t47 @t42 @t43)))
% 0.36/0.57  (step @p169 :rule instantiate :premises (@p168) :args (@t88))
% 0.36/0.57  (step @p170 :rule instantiate :premises (@p168) :args (@t89))
% 0.36/0.57  (step @p171 :rule instantiate :premises (@p163) :args (@t89))
% 0.36/0.57  (step @p172 :rule cnf_or_pos :args (@t92))
% 0.36/0.57  (step @p173 :rule reordering :premises (@p172) :args ((or @t38 @t91 (not @t92))))
% 0.36/0.57  (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p170) :args (@t38 (@list false false) (@list @t90 @t92)))
% 0.36/0.57  (step @p175 :rule and_elim :premises (@p157) :args (1))
% 0.36/0.57  (step @p176 :rule reordering :premises (@p175) :args ((or @t93 (not @t38))))
% 0.36/0.57  (step @p177 :rule chain_m_resolution :premises (@p176 @p174) :args (@t93 @t87 (@list @t38)))
% 0.36/0.57  (step @p178 :rule cnf_or_pos :args (@t96))
% 0.36/0.57  (step @p179 :rule reordering :premises (@p178) :args ((or @t37 @t95 (not @t96))))
% 0.36/0.57  (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p169) :args (@t95 @t97 (@list @t37 @t96)))
% 0.36/0.57  (assume-push @p187 @t47)
% 0.36/0.57  (step @p182 :rule instantiate :premises (@p163) :args (@t88))
% 0.36/0.57  (step-pop @p188 :rule scope :premises (@p182))
% 0.36/0.57  (step @p183 :rule process_scope :premises (@p188) :args (@t94))
% 0.36/0.57  (step @p185 :rule implies_elim :premises (@p183))
% 0.36/0.57  (step @p186 false :rule chain_m_resolution :premises (@p185 @p180 @p163) :args (false @t97 (@list @t94 @t47)))
% 0.36/0.57  )
% 0.36/0.57  % SZS output end Proof
% 0.36/0.57  % cvc5 exiting
%------------------------------------------------------------------------------