↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN071+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 09:07:59 AM UTC 2026

% Result   : Theorem 0.33s 0.56s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN071+1 : TPTP v9.2.1. Released v2.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n004.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 23:20:07 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.33/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.33/0.56  % SZS status Theorem
% 0.33/0.56  % SZS output start Proof
% 0.33/0.56  (
% 0.33/0.56  (declare-sort $$unsorted 0)
% 0.33/0.56  (declare-const tptp.a $$unsorted)
% 0.33/0.56  (declare-const tptp.b $$unsorted)
% 0.33/0.56  (declare-const tptp.c $$unsorted)
% 0.33/0.56  (declare-const tptp.d $$unsorted)
% 0.33/0.56  (define @t1 () (or (= tptp.a tptp.b) (= tptp.c tptp.d)))
% 0.33/0.56  (define @t2 () (= tptp.b tptp.d))
% 0.33/0.56  (define @t3 () (= tptp.a tptp.c))
% 0.33/0.56  (define @t4 () (= tptp.b tptp.c))
% 0.33/0.56  (define @t5 () (= tptp.a tptp.d))
% 0.33/0.56  (define @t6 () (not @t2))
% 0.33/0.56  (define @t7 () (= tptp.d tptp.c))
% 0.33/0.56  (define @t8 () (not @t7))
% 0.33/0.56  (define @t9 () (not @t4))
% 0.33/0.56  (define @t10 () (not @t9))
% 0.33/0.56  (define @t11 () (and @t7 @t9))
% 0.33/0.56  (define @t12 () (not @t3))
% 0.33/0.56  (define @t13 () (not @t5))
% 0.33/0.56  (define @t14 () (not @t13))
% 0.33/0.56  (define @t15 () (and @t7 @t13))
% 0.33/0.56  (define @t16 () (= tptp.b tptp.a))
% 0.33/0.56  (define @t17 () (not @t16))
% 0.33/0.56  (define @t18 () (and @t16 @t13))
% 0.33/0.56  (define @t19 () (@list true false))
% 0.33/0.56  (define @t20 () (and @t16 @t9))
% 0.33/0.56  (assume @p1 @t1)
% 0.33/0.56  (assume @p2 (or @t3 @t2))
% 0.33/0.56  (assume @p3 (not (or @t5 @t4)))
% 0.33/0.56  (assume @p4 true)
% 0.33/0.56  (step @p5 :rule not_or_elim :premises (@p3) :args (1))
% 0.33/0.56  (step @p6 :rule refl :args (@t6))
% 0.33/0.56  (step @p7 :rule bool-double-not-elim :args (@t4))
% 0.33/0.56  (step @p8 :rule refl :args (@t8))
% 0.33/0.56  (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args ((or @t8 @t10 @t6)))
% 0.33/0.56  (assume-push @p114 @t7)
% 0.33/0.56  (assume-push @p115 @t9)
% 0.33/0.56  (assume-push @p116 @t9)
% 0.33/0.56  (assume-push @p117 @t7)
% 0.33/0.56  (step @p14 :rule false_intro :premises (@p5))
% 0.33/0.56  (step @p15 :rule refl :args (tptp.b))
% 0.33/0.56  (step @p16 :rule cong :premises (@p15 @p114) :args (@t2))
% 0.33/0.56  (step @p17 :rule trans :premises (@p16 @p14))
% 0.33/0.56  (step @p18 :rule false_elim :premises (@p17))
% 0.33/0.56  (step-pop @p118 :rule scope :premises (@p18))
% 0.33/0.56  (step-pop @p119 :rule scope :premises (@p118))
% 0.33/0.56  (step @p19 :rule process_scope :premises (@p119) :args (@t6))
% 0.33/0.56  (step @p22 :rule and_intro :premises (@p5 @p114))
% 0.33/0.56  (step @p23 :rule modus_ponens :premises (@p22 @p19))
% 0.33/0.56  (step-pop @p120 :rule scope :premises (@p23))
% 0.33/0.56  (step-pop @p121 :rule scope :premises (@p120))
% 0.33/0.56  (step @p24 :rule process_scope :premises (@p121) :args (@t6))
% 0.33/0.56  (step @p27 :rule implies_elim :premises (@p24))
% 0.33/0.56  (step @p28 :rule cnf_and_neg :args (@t11))
% 0.33/0.56  (step @p29 :rule resolution :premises (@p28 @p27) :args (true @t11))
% 0.33/0.56  (step @p30 :rule eq_resolve :premises (@p29 @p9))
% 0.33/0.56  (step @p31 :rule reordering :premises (@p30) :args ((or @t4 @t8 @t6)))
% 0.33/0.56  (step @p32 :rule not_or_elim :premises (@p3) :args (0))
% 0.33/0.56  (step @p33 :rule refl :args (@t12))
% 0.33/0.56  (step @p34 :rule bool-double-not-elim :args (@t5))
% 0.33/0.56  (step @p35 :rule nary_cong :premises (@p8 @p34 @p33) :args ((or @t8 @t14 @t12)))
% 0.33/0.56  (assume-push @p122 @t7)
% 0.33/0.56  (assume-push @p123 @t13)
% 0.33/0.56  (assume-push @p124 @t13)
% 0.33/0.56  (assume-push @p125 @t7)
% 0.33/0.56  (step @p40 :rule false_intro :premises (@p32))
% 0.33/0.56  (step @p41 :rule symm :premises (@p122))
% 0.33/0.56  (step @p42 :rule refl :args (tptp.a))
% 0.33/0.56  (step @p43 :rule cong :premises (@p42 @p41) :args (@t3))
% 0.33/0.56  (step @p44 :rule trans :premises (@p43 @p40))
% 0.33/0.56  (step @p45 :rule false_elim :premises (@p44))
% 0.33/0.56  (step-pop @p126 :rule scope :premises (@p45))
% 0.33/0.56  (step-pop @p127 :rule scope :premises (@p126))
% 0.33/0.56  (step @p46 :rule process_scope :premises (@p127) :args (@t12))
% 0.33/0.56  (step @p49 :rule and_intro :premises (@p32 @p122))
% 0.33/0.56  (step @p50 :rule modus_ponens :premises (@p49 @p46))
% 0.33/0.56  (step-pop @p128 :rule scope :premises (@p50))
% 0.33/0.56  (step-pop @p129 :rule scope :premises (@p128))
% 0.33/0.56  (step @p51 :rule process_scope :premises (@p129) :args (@t12))
% 0.33/0.56  (step @p54 :rule implies_elim :premises (@p51))
% 0.33/0.56  (step @p55 :rule cnf_and_neg :args (@t15))
% 0.33/0.56  (step @p56 :rule resolution :premises (@p55 @p54) :args (true @t15))
% 0.33/0.56  (step @p57 :rule eq_resolve :premises (@p56 @p35))
% 0.33/0.56  (step @p58 :rule reordering :premises (@p57) :args ((or @t5 @t8 @t12)))
% 0.33/0.56  (step @p59 :rule chain_m_resolution :premises (@p2 @p58 @p32 @p31 @p5) :args (@t8 (@list true true true true) (@list @t3 @t5 @t2 @t4)))
% 0.33/0.56  (step @p60 :rule eq-symm :args (tptp.c tptp.d))
% 0.33/0.56  (step @p61 :rule eq-symm :args (tptp.a tptp.b))
% 0.33/0.56  (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t1))
% 0.33/0.56  (step @p63 :rule eq_resolve :premises (@p1 @p62))
% 0.33/0.56  (step @p64 :rule chain_m_resolution :premises (@p63 @p59) :args (@t16 (@list true) (@list @t7)))
% 0.33/0.56  (step @p65 :rule refl :args (@t17))
% 0.33/0.56  (step @p66 :rule nary_cong :premises (@p65 @p34 @p6) :args ((or @t17 @t14 @t6)))
% 0.33/0.56  (assume-push @p130 @t16)
% 0.33/0.56  (assume-push @p131 @t13)
% 0.33/0.56  (assume-push @p132 @t13)
% 0.33/0.56  (assume-push @p133 @t16)
% 0.33/0.56  (step @p40 :rule false_intro :premises (@p32))
% 0.33/0.56  (step @p71 :rule refl :args (tptp.d))
% 0.33/0.56  (step @p72 :rule cong :premises (@p130 @p71) :args (@t2))
% 0.33/0.56  (step @p73 :rule trans :premises (@p72 @p40))
% 0.33/0.56  (step @p74 :rule false_elim :premises (@p73))
% 0.33/0.56  (step-pop @p134 :rule scope :premises (@p74))
% 0.33/0.56  (step-pop @p135 :rule scope :premises (@p134))
% 0.33/0.56  (step @p75 :rule process_scope :premises (@p135) :args (@t6))
% 0.33/0.56  (step @p78 :rule and_intro :premises (@p32 @p130))
% 0.33/0.56  (step @p79 :rule modus_ponens :premises (@p78 @p75))
% 0.33/0.56  (step-pop @p136 :rule scope :premises (@p79))
% 0.33/0.56  (step-pop @p137 :rule scope :premises (@p136))
% 0.33/0.56  (step @p80 :rule process_scope :premises (@p137) :args (@t6))
% 0.33/0.56  (step @p83 :rule implies_elim :premises (@p80))
% 0.33/0.56  (step @p84 :rule cnf_and_neg :args (@t18))
% 0.33/0.56  (step @p85 :rule resolution :premises (@p84 @p83) :args (true @t18))
% 0.33/0.56  (step @p86 :rule eq_resolve :premises (@p85 @p66))
% 0.33/0.56  (step @p87 :rule reordering :premises (@p86) :args ((or @t5 @t17 @t6)))
% 0.33/0.56  (step @p88 :rule chain_m_resolution :premises (@p87 @p32 @p64) :args (@t6 @t19 (@list @t5 @t16)))
% 0.33/0.56  (step @p89 :rule nary_cong :premises (@p65 @p7 @p33) :args ((or @t17 @t10 @t12)))
% 0.33/0.56  (assume-push @p138 @t16)
% 0.33/0.56  (assume-push @p139 @t9)
% 0.33/0.56  (assume-push @p140 @t9)
% 0.33/0.56  (assume-push @p141 @t16)
% 0.33/0.56  (step @p14 :rule false_intro :premises (@p5))
% 0.33/0.56  (step @p94 :rule refl :args (tptp.c))
% 0.33/0.56  (step @p95 :rule symm :premises (@p138))
% 0.33/0.56  (step @p96 :rule cong :premises (@p95 @p94) :args (@t3))
% 0.33/0.56  (step @p97 :rule trans :premises (@p96 @p14))
% 0.33/0.56  (step @p98 :rule false_elim :premises (@p97))
% 0.33/0.56  (step-pop @p142 :rule scope :premises (@p98))
% 0.33/0.56  (step-pop @p143 :rule scope :premises (@p142))
% 0.33/0.56  (step @p99 :rule process_scope :premises (@p143) :args (@t12))
% 0.33/0.56  (step @p102 :rule and_intro :premises (@p5 @p138))
% 0.33/0.56  (step @p103 :rule modus_ponens :premises (@p102 @p99))
% 0.33/0.56  (step-pop @p144 :rule scope :premises (@p103))
% 0.33/0.56  (step-pop @p145 :rule scope :premises (@p144))
% 0.33/0.56  (step @p104 :rule process_scope :premises (@p145) :args (@t12))
% 0.33/0.56  (step @p107 :rule implies_elim :premises (@p104))
% 0.33/0.56  (step @p108 :rule cnf_and_neg :args (@t20))
% 0.33/0.56  (step @p109 :rule resolution :premises (@p108 @p107) :args (true @t20))
% 0.33/0.56  (step @p110 :rule eq_resolve :premises (@p109 @p89))
% 0.33/0.56  (step @p111 :rule reordering :premises (@p110) :args ((or @t4 @t17 @t12)))
% 0.33/0.56  (step @p112 :rule chain_m_resolution :premises (@p111 @p5 @p64) :args (@t12 @t19 (@list @t4 @t16)))
% 0.33/0.56  (step @p113 false :rule chain_m_resolution :premises (@p2 @p112 @p88) :args (false (@list true true) (@list @t3 @t2)))
% 0.33/0.56  )
% 0.33/0.56  % SZS output end Proof
% 0.33/0.56  % cvc5 exiting
%------------------------------------------------------------------------------