%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO160^5 : 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 : n019.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 09:12:08 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO160^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.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 : Tue Jun 2 23:59:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.a $$unsorted) % 0.37/0.57 (declare-const tptp.b $$unsorted) % 0.37/0.57 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.c $$unsorted) % 0.37/0.57 (define @t1 () (_ tptp.cR tptp.c)) % 0.37/0.57 (define @t2 () (_ tptp.cR tptp.b)) % 0.37/0.57 (define @t3 () (_ tptp.cR tptp.a)) % 0.37/0.57 (define @t4 () (and @t3 @t2 @t1)) % 0.37/0.57 (define @t5 () (@var "Xx" $$unsorted)) % 0.37/0.57 (define @t6 () (_ tptp.cR @t5)) % 0.37/0.57 (define @t7 () (_ tptp.cQ @t5)) % 0.37/0.57 (define @t8 () (@list @t5)) % 0.37/0.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.37/0.57 (define @t10 () (_ tptp.cP @t5)) % 0.37/0.57 (define @t11 () (forall @t8 (=> @t10 @t6))) % 0.37/0.57 (define @t12 () (forall @t8 @t7)) % 0.37/0.57 (define @t13 () (forall @t8 @t10)) % 0.37/0.57 (define @t14 () (or @t13 @t12)) % 0.37/0.57 (define @t15 () (and @t14 @t11 @t9)) % 0.37/0.57 (define @t16 () (=> @t15 @t4)) % 0.37/0.57 (define @t17 () (not @t16)) % 0.37/0.57 (define @t18 () (tptp.cP @t5)) % 0.37/0.57 (define @t19 () (forall @t8 @t18)) % 0.37/0.57 (define @t20 () (@list tptp.a)) % 0.37/0.57 (define @t21 () (tptp.cP tptp.a)) % 0.37/0.57 (define @t22 () (@list tptp.b)) % 0.37/0.57 (define @t23 () (tptp.cP tptp.b)) % 0.37/0.57 (define @t24 () (tptp.cR tptp.c)) % 0.37/0.57 (define @t25 () (tptp.cR tptp.b)) % 0.37/0.57 (define @t26 () (tptp.cR tptp.a)) % 0.37/0.57 (define @t27 () (tptp.cR @t5)) % 0.37/0.57 (define @t28 () (tptp.cQ @t5)) % 0.37/0.57 (define @t29 () (forall @t8 @t28)) % 0.37/0.57 (define @t30 () (and (or @t19 @t29) (forall @t8 (or (not @t18) @t27)) (forall @t8 (or (not @t28) @t27)))) % 0.37/0.57 (define @t31 () (=> @t30 @t4)) % 0.37/0.57 (define @t32 () (not @t7)) % 0.37/0.57 (define @t33 () (or @t32 @t6)) % 0.37/0.57 (define @t34 () (not @t10)) % 0.37/0.57 (define @t35 () (or @t34 @t6)) % 0.37/0.57 (define @t36 () (not @t21)) % 0.37/0.57 (define @t37 () (or @t36 @t26)) % 0.37/0.57 (define @t38 () (not @t23)) % 0.37/0.57 (define @t39 () (or @t38 @t25)) % 0.37/0.57 (define @t40 () (@list tptp.c)) % 0.37/0.57 (define @t41 () (tptp.cP tptp.c)) % 0.37/0.57 (define @t42 () (not @t41)) % 0.37/0.57 (define @t43 () (or @t42 @t24)) % 0.37/0.57 (define @t44 () (tptp.cQ tptp.c)) % 0.37/0.57 (define @t45 () (@list false)) % 0.37/0.57 (define @t46 () (@list @t29)) % 0.37/0.57 (define @t47 () (not @t44)) % 0.37/0.57 (define @t48 () (or @t47 @t24)) % 0.37/0.57 (define @t49 () (@list false false)) % 0.37/0.57 (define @t50 () (tptp.cQ tptp.b)) % 0.37/0.57 (define @t51 () (not @t50)) % 0.37/0.57 (define @t52 () (or @t51 @t25)) % 0.37/0.57 (define @t53 () (tptp.cQ tptp.a)) % 0.37/0.57 (define @t54 () (not @t53)) % 0.37/0.57 (define @t55 () (or @t54 @t26)) % 0.37/0.57 (define @t56 () (@list true false)) % 0.37/0.57 (assume @p1 @t17) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (assume-push @p121 @t19) % 0.37/0.57 (step @p4 :rule instantiate :premises (@p121) :args (@t20)) % 0.37/0.57 (step-pop @p122 :rule scope :premises (@p4)) % 0.37/0.57 (step @p5 :rule process_scope :premises (@p122) :args (@t21)) % 0.37/0.57 (step @p7 :rule implies_elim :premises (@p5)) % 0.37/0.57 (assume-push @p123 @t19) % 0.37/0.57 (step @p9 :rule instantiate :premises (@p123) :args (@t22)) % 0.37/0.57 (step-pop @p124 :rule scope :premises (@p9)) % 0.37/0.57 (step @p10 :rule process_scope :premises (@p124) :args (@t23)) % 0.37/0.57 (step @p12 :rule implies_elim :premises (@p10)) % 0.37/0.57 (step @p13 :rule refl :args (@t24)) % 0.37/0.57 (step @p14 :rule refl :args (@t1)) % 0.37/0.57 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t1 @t24))) % 0.37/0.57 (step @p16 :rule symm :premises (@p15)) % 0.37/0.57 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.37/0.57 (step @p18 :rule refl :args (@t25)) % 0.37/0.57 (step @p19 :rule refl :args (@t2)) % 0.37/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t2 @t25))) % 0.37/0.57 (step @p21 :rule symm :premises (@p20)) % 0.37/0.57 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.37/0.57 (step @p23 :rule refl :args (@t26)) % 0.37/0.57 (step @p24 :rule refl :args (@t3)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t3 @t26))) % 0.37/0.57 (step @p26 :rule symm :premises (@p25)) % 0.37/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.37/0.57 (step @p28 :rule nary_cong :premises (@p27 @p22 @p17) :args (@t4)) % 0.37/0.57 (step @p29 :rule refl :args (@t30)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29 @p28) :args (@t31)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30) :args ((not @t31))) % 0.37/0.57 (step @p32 :rule refl :args (@t4)) % 0.37/0.57 (step @p33 :rule refl :args (@t27)) % 0.37/0.57 (step @p34 :rule refl :args (@t6)) % 0.37/0.57 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t6 @t27))) % 0.37/0.57 (step @p36 :rule symm :premises (@p35)) % 0.37/0.57 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.37/0.57 (step @p38 :rule refl :args (@t28)) % 0.37/0.57 (step @p39 :rule refl :args (@t7)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t7 @t28))) % 0.37/0.57 (step @p41 :rule symm :premises (@p40)) % 0.37/0.57 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.37/0.57 (step @p43 :rule cong :premises (@p42) :args (@t32)) % 0.37/0.57 (step @p44 :rule nary_cong :premises (@p43 @p37) :args (@t33)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44) :args ((forall @t8 @t33))) % 0.37/0.57 (step @p46 :rule bool-impl-elim :args (@t7 @t6)) % 0.37/0.57 (step @p47 :rule cong :premises (@p46) :args (@t9)) % 0.37/0.57 (step @p48 :rule trans :premises (@p47 @p45)) % 0.37/0.57 (step @p49 :rule refl :args (@t18)) % 0.37/0.57 (step @p50 :rule refl :args (@t10)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t10 @t18))) % 0.37/0.57 (step @p52 :rule symm :premises (@p51)) % 0.37/0.57 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.37/0.57 (step @p54 :rule cong :premises (@p53) :args (@t34)) % 0.37/0.57 (step @p55 :rule nary_cong :premises (@p54 @p37) :args (@t35)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55) :args ((forall @t8 @t35))) % 0.37/0.57 (step @p57 :rule bool-impl-elim :args (@t10 @t6)) % 0.37/0.57 (step @p58 :rule cong :premises (@p57) :args (@t11)) % 0.37/0.57 (step @p59 :rule trans :premises (@p58 @p56)) % 0.37/0.57 (step @p60 :rule cong :premises (@p42) :args (@t12)) % 0.37/0.57 (step @p61 :rule cong :premises (@p53) :args (@t13)) % 0.37/0.57 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t14)) % 0.37/0.57 (step @p63 :rule nary_cong :premises (@p62 @p59 @p48) :args (@t15)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63 @p32) :args (@t16)) % 0.37/0.57 (step @p65 :rule cong :premises (@p64) :args (@t17)) % 0.37/0.57 (step @p66 :rule trans :premises (@p65 @p31)) % 0.37/0.57 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 0.37/0.57 (step @p68 :rule not_implies_elim1 :premises (@p67)) % 0.37/0.57 (step @p69 :rule and_elim :premises (@p68) :args (1)) % 0.37/0.57 (step @p70 :rule instantiate :premises (@p69) :args (@t20)) % 0.37/0.57 (step @p71 :rule cnf_or_pos :args (@t37)) % 0.37/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t26 @t36 (not @t37)))) % 0.37/0.57 (step @p73 :rule instantiate :premises (@p69) :args (@t22)) % 0.37/0.57 (step @p74 :rule cnf_or_pos :args (@t39)) % 0.37/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t25 @t38 (not @t39)))) % 0.37/0.57 (step @p76 :rule not_implies_elim2 :premises (@p67)) % 0.37/0.57 (step @p77 :rule not_and :premises (@p76)) % 0.37/0.57 (step @p78 :rule instantiate :premises (@p69) :args (@t40)) % 0.37/0.57 (step @p79 :rule cnf_or_pos :args (@t43)) % 0.37/0.57 (step @p80 :rule reordering :premises (@p79) :args ((or @t24 @t42 (not @t43)))) % 0.37/0.57 (assume-push @p125 @t19) % 0.37/0.57 (step @p82 :rule instantiate :premises (@p125) :args (@t40)) % 0.37/0.57 (step-pop @p126 :rule scope :premises (@p82)) % 0.37/0.57 (step @p83 :rule process_scope :premises (@p126) :args (@t41)) % 0.37/0.57 (step @p85 :rule implies_elim :premises (@p83)) % 0.37/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p80 @p78 @p77 @p75 @p73 @p72 @p70 @p12 @p7) :args ((not @t19) (@list true false true false false false false false false) (@list @t41 @t43 @t24 @t25 @t39 @t26 @t37 @t23 @t21))) % 0.37/0.57 (step @p87 :rule and_elim :premises (@p68) :args (0)) % 0.37/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p86) :args (@t29 (@list true) (@list @t19))) % 0.37/0.57 (step @p89 :rule and_elim :premises (@p68) :args (2)) % 0.37/0.57 (step @p90 :rule instantiate :premises (@p89) :args (@t20)) % 0.37/0.57 (step @p91 :rule instantiate :premises (@p89) :args (@t40)) % 0.37/0.57 (assume-push @p127 @t29) % 0.37/0.57 (step @p93 :rule instantiate :premises (@p127) :args (@t40)) % 0.37/0.57 (step-pop @p128 :rule scope :premises (@p93)) % 0.37/0.57 (step @p94 :rule process_scope :premises (@p128) :args (@t44)) % 0.37/0.57 (step @p96 :rule implies_elim :premises (@p94)) % 0.37/0.57 (step @p97 :rule chain_m_resolution :premises (@p96 @p88) :args (@t44 @t45 @t46)) % 0.37/0.57 (step @p98 :rule cnf_or_pos :args (@t48)) % 0.37/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t24 @t47 (not @t48)))) % 0.37/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p91) :args (@t24 @t49 (@list @t44 @t48))) % 0.37/0.57 (step @p101 :rule instantiate :premises (@p89) :args (@t22)) % 0.37/0.57 (assume-push @p129 @t29) % 0.37/0.57 (step @p103 :rule instantiate :premises (@p129) :args (@t22)) % 0.37/0.57 (step-pop @p130 :rule scope :premises (@p103)) % 0.37/0.57 (step @p104 :rule process_scope :premises (@p130) :args (@t50)) % 0.37/0.57 (step @p106 :rule implies_elim :premises (@p104)) % 0.37/0.57 (step @p107 :rule chain_m_resolution :premises (@p106 @p88) :args (@t50 @t45 @t46)) % 0.37/0.57 (step @p108 :rule cnf_or_pos :args (@t52)) % 0.37/0.57 (step @p109 :rule reordering :premises (@p108) :args ((or @t25 @t51 (not @t52)))) % 0.37/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p101) :args (@t25 @t49 (@list @t50 @t52))) % 0.37/0.57 (step @p111 :rule chain_m_resolution :premises (@p77 @p110 @p100) :args ((not @t26) @t49 (@list @t25 @t24))) % 0.37/0.57 (step @p112 :rule cnf_or_pos :args (@t55)) % 0.37/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t26 @t54 (not @t55)))) % 0.37/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p90) :args (@t54 @t56 (@list @t26 @t55))) % 0.37/0.57 (assume-push @p131 @t29) % 0.37/0.57 (step @p116 :rule instantiate :premises (@p131) :args (@t20)) % 0.37/0.57 (step-pop @p132 :rule scope :premises (@p116)) % 0.37/0.57 (step @p117 :rule process_scope :premises (@p132) :args (@t53)) % 0.37/0.57 (step @p119 :rule implies_elim :premises (@p117)) % 0.37/0.57 (step @p120 false :rule chain_m_resolution :premises (@p119 @p114 @p88) :args (false @t56 (@list @t53 @t29))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------