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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO178^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 09:12:10 AM UTC 2026

% Result   : Theorem 0.29s 0.55s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO178^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n011.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 23:59:35 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TH0
% 0.29/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.29/0.55  % SZS status Theorem
% 0.29/0.55  % SZS output start Proof
% 0.29/0.55  (
% 0.29/0.55  (declare-const tptp.cL Bool)
% 0.29/0.55  (declare-const tptp.cP Bool)
% 0.29/0.55  (declare-const tptp.cB Bool)
% 0.29/0.55  (declare-const tptp.cC Bool)
% 0.29/0.55  (declare-const tptp.cF Bool)
% 0.29/0.55  (declare-const tptp.cR Bool)
% 0.29/0.55  (declare-const tptp.cE Bool)
% 0.29/0.55  (declare-const tptp.cK Bool)
% 0.29/0.55  (declare-const tptp.cG Bool)
% 0.29/0.55  (declare-const tptp.cN Bool)
% 0.29/0.55  (declare-const tptp.cM Bool)
% 0.29/0.55  (define @t1 () (not tptp.cM))
% 0.29/0.55  (define @t2 () (not tptp.cG))
% 0.29/0.55  (define @t3 () (not tptp.cE))
% 0.29/0.55  (define @t4 () (or @t3 tptp.cK @t2 tptp.cN @t1))
% 0.29/0.55  (define @t5 () (not tptp.cR))
% 0.29/0.55  (define @t6 () (or @t5 tptp.cK tptp.cM tptp.cG))
% 0.29/0.55  (define @t7 () (not tptp.cN))
% 0.29/0.55  (define @t8 () (or tptp.cK @t7 @t1 tptp.cF))
% 0.29/0.55  (define @t9 () (not tptp.cC))
% 0.29/0.55  (define @t10 () (not tptp.cB))
% 0.29/0.55  (define @t11 () (or @t2 @t10 tptp.cR @t9))
% 0.29/0.55  (define @t12 () (or @t7 tptp.cP tptp.cF tptp.cC))
% 0.29/0.55  (define @t13 () (or @t2 tptp.cK tptp.cM @t10))
% 0.29/0.55  (define @t14 () (not tptp.cL))
% 0.29/0.55  (define @t15 () (not tptp.cK))
% 0.29/0.55  (define @t16 () (or @t15 @t14 @t3 @t1))
% 0.29/0.55  (define @t17 () (or @t5 tptp.cN tptp.cF tptp.cP))
% 0.29/0.55  (define @t18 () (or @t5 @t3 @t9))
% 0.29/0.55  (define @t19 () (or tptp.cG tptp.cR tptp.cK))
% 0.29/0.55  (define @t20 () (or @t14 @t1 tptp.cC))
% 0.29/0.55  (define @t21 () (or @t15 @t10 tptp.cC))
% 0.29/0.55  (define @t22 () (or tptp.cG tptp.cP tptp.cR))
% 0.29/0.55  (define @t23 () (or @t2 tptp.cR tptp.cM))
% 0.29/0.55  (define @t24 () (not tptp.cP))
% 0.29/0.55  (define @t25 () (or @t14 @t24 tptp.cM))
% 0.29/0.55  (define @t26 () (not tptp.cF))
% 0.29/0.55  (define @t27 () (or @t26 tptp.cB))
% 0.29/0.55  (define @t28 () (and tptp.cL tptp.cE @t27 @t25 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t13 @t12 @t11 @t8 @t6 @t4))
% 0.29/0.55  (define @t29 () (not true))
% 0.29/0.55  (define @t30 () (or @t29 tptp.cK @t2 tptp.cN @t1))
% 0.29/0.55  (define @t31 () (or @t15 @t29 @t29 @t1))
% 0.29/0.55  (define @t32 () (or @t5 @t29 @t9))
% 0.29/0.55  (define @t33 () (or @t29 @t1 tptp.cC))
% 0.29/0.55  (define @t34 () (or @t29 @t24 tptp.cM))
% 0.29/0.55  (define @t35 () (and @t27 @t34 @t23 @t22 @t21 @t33 @t19 @t32 @t17 @t31 @t13 @t12 @t11 @t8 @t6 @t30))
% 0.29/0.55  (define @t36 () (@list false))
% 0.29/0.55  (define @t37 () (@list tptp.cM))
% 0.29/0.55  (assume @p1 (not (not @t28)))
% 0.29/0.55  (assume @p2 true)
% 0.29/0.55  (step @p3 :rule aci_norm :args ((= (or false tptp.cK @t2 tptp.cN @t1) (or tptp.cK @t2 tptp.cN @t1))))
% 0.29/0.55  (step @p4 :rule refl :args (@t1))
% 0.29/0.55  (step @p5 :rule refl :args (tptp.cN))
% 0.29/0.55  (step @p6 :rule refl :args (@t2))
% 0.29/0.55  (step @p7 :rule refl :args (tptp.cK))
% 0.29/0.55  (step @p8 :rule evaluate :args (@t29))
% 0.29/0.55  (step @p9 :rule nary_cong :premises (@p8 @p7 @p6 @p5 @p4) :args (@t30))
% 0.29/0.55  (step @p10 :rule trans :premises (@p9 @p3))
% 0.29/0.55  (step @p11 :rule refl :args (@t6))
% 0.29/0.55  (step @p12 :rule refl :args (@t8))
% 0.29/0.55  (step @p13 :rule refl :args (@t11))
% 0.29/0.55  (step @p14 :rule refl :args (@t12))
% 0.29/0.55  (step @p15 :rule refl :args (@t13))
% 0.29/0.55  (step @p16 :rule aci_norm :args ((= (or @t15 false false @t1) (or @t15 @t1))))
% 0.29/0.55  (step @p17 :rule refl :args (@t15))
% 0.29/0.55  (step @p18 :rule nary_cong :premises (@p17 @p8 @p8 @p4) :args (@t31))
% 0.29/0.55  (step @p19 :rule trans :premises (@p18 @p16))
% 0.29/0.55  (step @p20 :rule refl :args (@t17))
% 0.29/0.55  (step @p21 :rule aci_norm :args ((= (or @t5 false @t9) (or @t5 @t9))))
% 0.29/0.55  (step @p22 :rule refl :args (@t9))
% 0.29/0.55  (step @p23 :rule refl :args (@t5))
% 0.29/0.55  (step @p24 :rule nary_cong :premises (@p23 @p8 @p22) :args (@t32))
% 0.29/0.55  (step @p25 :rule trans :premises (@p24 @p21))
% 0.29/0.55  (step @p26 :rule refl :args (@t19))
% 0.29/0.55  (step @p27 :rule aci_norm :args ((= (or false @t1 tptp.cC) (or @t1 tptp.cC))))
% 0.29/0.55  (step @p28 :rule refl :args (tptp.cC))
% 0.29/0.55  (step @p29 :rule nary_cong :premises (@p8 @p4 @p28) :args (@t33))
% 0.29/0.55  (step @p30 :rule trans :premises (@p29 @p27))
% 0.29/0.55  (step @p31 :rule refl :args (@t21))
% 0.29/0.55  (step @p32 :rule refl :args (@t22))
% 0.29/0.55  (step @p33 :rule refl :args (@t23))
% 0.29/0.55  (step @p34 :rule aci_norm :args ((= (or false @t24 tptp.cM) (or @t24 tptp.cM))))
% 0.29/0.55  (step @p35 :rule refl :args (tptp.cM))
% 0.29/0.55  (step @p36 :rule refl :args (@t24))
% 0.29/0.55  (step @p37 :rule nary_cong :premises (@p8 @p36 @p35) :args (@t34))
% 0.29/0.55  (step @p38 :rule trans :premises (@p37 @p34))
% 0.29/0.55  (step @p39 :rule refl :args (@t27))
% 0.29/0.55  (step @p40 :rule nary_cong :premises (@p39 @p38 @p33 @p32 @p31 @p30 @p26 @p25 @p20 @p19 @p15 @p14 @p13 @p12 @p11 @p10) :args (@t35))
% 0.29/0.55  (step @p41 :rule aci_norm :args ((= (and true true @t27 @t34 @t23 @t22 @t21 @t33 @t19 @t32 @t17 @t31 @t13 @t12 @t11 @t8 @t6 @t30) @t35)))
% 0.29/0.55  (step @p42 :rule trans :premises (@p41 @p40))
% 0.29/0.55  (step @p43 :rule bool-eq-true :args (tptp.cE))
% 0.29/0.55  (step @p44 :rule symm :premises (@p43))
% 0.29/0.55  (step @p45 :rule bool-double-not-elim :args (@t28))
% 0.29/0.55  (step @p46 :rule eq_resolve :premises (@p1 @p45))
% 0.29/0.55  (step @p47 :rule and_elim :premises (@p46) :args (1))
% 0.29/0.55  (step @p48 :rule eq_resolve :premises (@p47 @p44))
% 0.29/0.55  (step @p49 :rule cong :premises (@p48) :args (@t3))
% 0.29/0.55  (step @p50 :rule nary_cong :premises (@p49 @p7 @p6 @p5 @p4) :args (@t4))
% 0.29/0.55  (step @p51 :rule bool-eq-true :args (tptp.cL))
% 0.29/0.55  (step @p52 :rule symm :premises (@p51))
% 0.29/0.55  (step @p53 :rule and_elim :premises (@p46) :args (0))
% 0.29/0.55  (step @p54 :rule eq_resolve :premises (@p53 @p52))
% 0.29/0.55  (step @p55 :rule cong :premises (@p54) :args (@t14))
% 0.29/0.55  (step @p56 :rule nary_cong :premises (@p17 @p55 @p49 @p4) :args (@t16))
% 0.29/0.55  (step @p57 :rule nary_cong :premises (@p23 @p49 @p22) :args (@t18))
% 0.29/0.55  (step @p58 :rule nary_cong :premises (@p55 @p4 @p28) :args (@t20))
% 0.29/0.55  (step @p59 :rule nary_cong :premises (@p55 @p36 @p35) :args (@t25))
% 0.29/0.55  (step @p60 :rule nary_cong :premises (@p54 @p48 @p39 @p59 @p33 @p32 @p31 @p58 @p26 @p57 @p20 @p56 @p15 @p14 @p13 @p12 @p11 @p50) :args (@t28))
% 0.29/0.55  (step @p61 :rule trans :premises (@p60 @p42))
% 0.29/0.55  (step @p62 :rule trans :premises (@p45 @p61))
% 0.29/0.55  (step @p63 :rule eq_resolve :premises (@p1 @p62))
% 0.29/0.55  (step @p64 :rule and_elim :premises (@p63) :args (5))
% 0.29/0.55  (step @p65 :rule reordering :premises (@p64) :args ((or tptp.cC @t1)))
% 0.29/0.55  (step @p66 :rule and_elim :premises (@p63) :args (7))
% 0.29/0.55  (step @p67 :rule and_elim :premises (@p63) :args (8))
% 0.29/0.55  (step @p68 :rule reordering :premises (@p67) :args ((or tptp.cN tptp.cF tptp.cP @t5)))
% 0.29/0.55  (step @p69 :rule and_elim :premises (@p63) :args (11))
% 0.29/0.55  (step @p70 :rule reordering :premises (@p69) :args ((or tptp.cF tptp.cC tptp.cP @t7)))
% 0.29/0.55  (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p66) :args ((or tptp.cF tptp.cP @t5) (@list false true) (@list tptp.cN tptp.cC)))
% 0.29/0.55  (step @p72 :rule and_elim :premises (@p63) :args (3))
% 0.29/0.55  (step @p73 :rule reordering :premises (@p72) :args ((or tptp.cG tptp.cR tptp.cP)))
% 0.29/0.55  (step @p74 :rule and_elim :premises (@p63) :args (2))
% 0.29/0.55  (step @p75 :rule reordering :premises (@p74) :args ((or tptp.cM tptp.cR @t2)))
% 0.29/0.55  (step @p76 :rule and_elim :premises (@p63) :args (9))
% 0.29/0.55  (step @p77 :rule reordering :premises (@p76) :args ((or @t1 @t15)))
% 0.29/0.55  (step @p78 :rule and_elim :premises (@p63) :args (13))
% 0.29/0.55  (step @p79 :rule reordering :premises (@p78) :args ((or tptp.cK tptp.cF @t1 @t7)))
% 0.29/0.55  (step @p80 :rule and_elim :premises (@p63) :args (15))
% 0.29/0.55  (step @p81 :rule reordering :premises (@p80) :args ((or tptp.cN tptp.cK @t1 @t2)))
% 0.29/0.55  (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p77 @p75 @p73 @p71) :args ((or tptp.cF tptp.cP) (@list true true false false true) (@list tptp.cN tptp.cK tptp.cM tptp.cG tptp.cR)))
% 0.29/0.55  (step @p83 :rule and_elim :premises (@p63) :args (1))
% 0.29/0.55  (step @p84 :rule reordering :premises (@p83) :args ((or tptp.cM @t24)))
% 0.29/0.55  (step @p85 :rule and_elim :premises (@p63) :args (6))
% 0.29/0.55  (step @p86 :rule reordering :premises (@p85) :args ((or tptp.cG tptp.cK tptp.cR)))
% 0.29/0.55  (step @p87 :rule chain_m_resolution :premises (@p81 @p86 @p79 @p66 @p77 @p65 @p84 @p82) :args (tptp.cF (@list false true true true false false false) (@list tptp.cG tptp.cN tptp.cR tptp.cK tptp.cC tptp.cM tptp.cP)))
% 0.29/0.55  (step @p88 :rule and_elim :premises (@p63) :args (0))
% 0.29/0.55  (step @p89 :rule reordering :premises (@p88) :args ((or tptp.cB @t26)))
% 0.29/0.55  (step @p90 :rule chain_m_resolution :premises (@p89 @p87) :args (tptp.cB @t36 (@list tptp.cF)))
% 0.29/0.55  (step @p91 :rule and_elim :premises (@p63) :args (4))
% 0.29/0.55  (step @p92 :rule reordering :premises (@p91) :args ((or tptp.cC @t10 @t15)))
% 0.29/0.55  (step @p93 :rule and_elim :premises (@p63) :args (10))
% 0.29/0.55  (step @p94 :rule reordering :premises (@p93) :args ((or tptp.cM tptp.cK @t2 @t10)))
% 0.29/0.55  (step @p95 :rule chain_m_resolution :premises (@p94 @p90 @p92 @p90 @p65) :args ((or tptp.cC @t2) (@list false true false true) (@list tptp.cB tptp.cK tptp.cB tptp.cM)))
% 0.29/0.55  (step @p96 :rule and_elim :premises (@p63) :args (12))
% 0.29/0.55  (step @p97 :rule reordering :premises (@p96) :args ((or tptp.cR @t2 @t9 @t10)))
% 0.29/0.55  (step @p98 :rule chain_m_resolution :premises (@p97 @p90 @p66 @p95) :args (@t2 (@list false true false) (@list tptp.cB tptp.cR tptp.cC)))
% 0.29/0.55  (step @p99 :rule and_elim :premises (@p63) :args (14))
% 0.29/0.55  (step @p100 :rule reordering :premises (@p99) :args ((or tptp.cM tptp.cG tptp.cK @t5)))
% 0.29/0.55  (step @p101 :rule chain_m_resolution :premises (@p100 @p92 @p90 @p65 @p66 @p73) :args ((or tptp.cG tptp.cP) (@list true false true true false) (@list tptp.cK tptp.cB tptp.cM tptp.cC tptp.cR)))
% 0.29/0.55  (step @p102 :rule chain_m_resolution :premises (@p101 @p98) :args (tptp.cP (@list true) (@list tptp.cG)))
% 0.29/0.55  (step @p103 :rule chain_m_resolution :premises (@p84 @p102) :args (tptp.cM @t36 (@list tptp.cP)))
% 0.29/0.55  (step @p104 :rule chain_m_resolution :premises (@p77 @p103) :args (@t15 @t36 @t37))
% 0.29/0.55  (step @p105 :rule chain_m_resolution :premises (@p65 @p103) :args (tptp.cC @t36 @t37))
% 0.29/0.55  (step @p106 :rule chain_m_resolution :premises (@p66 @p105) :args (@t5 @t36 (@list tptp.cC)))
% 0.29/0.55  (step @p107 false :rule chain_m_resolution :premises (@p86 @p106 @p104 @p98) :args (false (@list true true true) (@list tptp.cR tptp.cK tptp.cG)))
% 0.29/0.55  )
% 0.29/0.55  % SZS output end Proof
% 0.29/0.55  % cvc5 exiting
%------------------------------------------------------------------------------