%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO112^5 : 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 : 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 09:12:03 AM UTC 2026 % Result : Theorem 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO112^5 : 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 % 0.14/0.33 % Computer : n004.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 23:59:07 EDT 2026 % 0.14/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.29/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.54 % SZS status Theorem % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-sort $$unsorted 0) % 0.29/0.54 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.29/0.54 (define @t1 () (@var "Y" $$unsorted)) % 0.29/0.54 (define @t2 () (_ tptp.cP @t1)) % 0.29/0.54 (define @t3 () (@list @t1)) % 0.29/0.54 (define @t4 () (exists @t3 @t2)) % 0.29/0.54 (define @t5 () (@var "X" $$unsorted)) % 0.29/0.54 (define @t6 () (_ tptp.cP @t5)) % 0.29/0.54 (define @t7 () (@list @t5)) % 0.29/0.54 (define @t8 () (forall @t7 @t6)) % 0.29/0.54 (define @t9 () (= @t6 @t4)) % 0.29/0.54 (define @t10 () (forall @t7 @t9)) % 0.29/0.54 (define @t11 () (= @t10 (= @t8 @t4))) % 0.29/0.54 (define @t12 () (not @t11)) % 0.29/0.54 (define @t13 () (tptp.cP @t5)) % 0.29/0.54 (define @t14 () (tptp.cP @t1)) % 0.29/0.54 (define @t15 () (not @t2)) % 0.29/0.54 (define @t16 () (forall @t3 @t15)) % 0.29/0.54 (define @t17 () (not @t16)) % 0.29/0.54 (define @t18 () (forall @t3 (not @t14))) % 0.29/0.54 (define @t19 () (not @t18)) % 0.29/0.54 (define @t20 () (= @t6 @t19)) % 0.29/0.54 (define @t21 () (forall @t7 (= @t19 @t13))) % 0.29/0.54 (define @t22 () (forall @t7 @t13)) % 0.29/0.54 (define @t23 () (@quantifiers_skolemize @t22 0)) % 0.29/0.54 (define @t24 () (@list @t23)) % 0.29/0.54 (define @t25 () (tptp.cP @t23)) % 0.29/0.54 (define @t26 () (= @t19 @t25)) % 0.29/0.54 (define @t27 () (not @t22)) % 0.29/0.54 (define @t28 () (= @t19 @t22)) % 0.29/0.54 (define @t29 () (not @t19)) % 0.29/0.54 (define @t30 () (not @t26)) % 0.29/0.54 (define @t31 () (not @t25)) % 0.29/0.54 (define @t32 () (@list false true)) % 0.29/0.54 (define @t33 () (not @t21)) % 0.29/0.54 (define @t34 () (@list true)) % 0.29/0.54 (define @t35 () (@list @t21)) % 0.29/0.54 (define @t36 () (not @t28)) % 0.29/0.54 (define @t37 () (@quantifiers_skolemize @t21 0)) % 0.29/0.54 (define @t38 () (tptp.cP @t37)) % 0.29/0.54 (define @t39 () (= @t19 @t38)) % 0.29/0.54 (define @t40 () (not @t39)) % 0.29/0.54 (define @t41 () (not @t38)) % 0.29/0.54 (define @t42 () (@list @t37)) % 0.29/0.54 (assume @p1 @t12) % 0.29/0.54 (assume @p2 true) % 0.29/0.54 (step @p3 :rule refl :args (@t13)) % 0.29/0.54 (step @p4 :rule refl :args (@t6)) % 0.29/0.54 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t6 @t13))) % 0.29/0.54 (step @p6 :rule symm :premises (@p5)) % 0.29/0.54 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.29/0.54 (step @p8 :rule cong :premises (@p7) :args (@t8)) % 0.29/0.54 (step @p9 :rule refl :args (@t14)) % 0.29/0.54 (step @p10 :rule refl :args (@t2)) % 0.29/0.54 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t2 @t14))) % 0.29/0.54 (step @p12 :rule symm :premises (@p11)) % 0.29/0.54 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.29/0.54 (step @p14 :rule cong :premises (@p13) :args (@t15)) % 0.29/0.54 (step @p15 :rule cong :premises (@p14) :args (@t16)) % 0.29/0.54 (step @p16 :rule cong :premises (@p15) :args (@t17)) % 0.29/0.54 (step @p17 :rule exists-elim :args ((= @t4 @t17))) % 0.29/0.54 (step @p18 :rule trans :premises (@p17 @p16)) % 0.29/0.54 (step @p19 :rule cong :premises (@p18 @p8) :args ((= @t4 @t8))) % 0.29/0.54 (step @p20 :rule eq-symm :args (@t8 @t4)) % 0.29/0.54 (step @p21 :rule trans :premises (@p20 @p19)) % 0.29/0.54 (step @p22 :rule eq-symm :args (@t13 @t19)) % 0.29/0.54 (step @p23 :rule cong :premises (@p22) :args ((forall @t7 (= @t13 @t19)))) % 0.29/0.54 (step @p24 :rule refl :args (@t19)) % 0.29/0.54 (step @p25 :rule cong :premises (@p7 @p24) :args (@t20)) % 0.29/0.54 (step @p26 :rule cong :premises (@p25) :args ((forall @t7 @t20))) % 0.29/0.54 (step @p27 :rule trans :premises (@p26 @p23)) % 0.29/0.54 (step @p28 :rule refl :args (@t6)) % 0.29/0.54 (step @p29 :rule cong :premises (@p28 @p18) :args (@t9)) % 0.29/0.54 (step @p30 :rule cong :premises (@p29) :args (@t10)) % 0.29/0.54 (step @p31 :rule trans :premises (@p30 @p27)) % 0.29/0.54 (step @p32 :rule cong :premises (@p31 @p21) :args (@t11)) % 0.29/0.54 (step @p33 :rule cong :premises (@p32) :args (@t12)) % 0.29/0.54 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.29/0.54 (step @p35 :rule not_equiv_elim2 :premises (@p34)) % 0.29/0.54 (assume-push @p113 @t21) % 0.29/0.54 (step @p37 :rule instantiate :premises (@p113) :args (@t24)) % 0.29/0.54 (step-pop @p114 :rule scope :premises (@p37)) % 0.29/0.54 (step @p38 :rule process_scope :premises (@p114) :args (@t26)) % 0.29/0.54 (step @p40 :rule implies_elim :premises (@p38)) % 0.29/0.54 (step @p41 :rule refl :args (@t27)) % 0.29/0.54 (step @p42 :rule bool-double-not-elim :args (@t18)) % 0.29/0.54 (step @p43 :rule refl :args (@t28)) % 0.29/0.54 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args ((or @t28 @t29 @t27))) % 0.29/0.54 (step @p45 :rule cnf_equiv_neg2 :args (@t28)) % 0.29/0.54 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.29/0.54 (step @p47 :rule reordering :premises (@p46) :args ((or @t18 @t28 @t27))) % 0.29/0.54 (step @p48 :rule refl :args (@t25)) % 0.29/0.54 (step @p49 :rule refl :args (@t30)) % 0.29/0.54 (step @p50 :rule nary_cong :premises (@p49 @p42 @p48) :args ((or @t30 @t29 @t25))) % 0.29/0.54 (step @p51 :rule cnf_equiv_pos1 :args (@t26)) % 0.29/0.54 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.29/0.54 (step @p53 :rule reordering :premises (@p52) :args ((or @t18 @t25 @t30))) % 0.29/0.54 (step @p54 :rule refl :args (@t31)) % 0.29/0.54 (step @p55 :rule bool-double-not-elim :args (@t22)) % 0.29/0.54 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t27) @t31))) % 0.29/0.54 (assume-push @p115 @t27) % 0.29/0.54 (step @p58 :rule skolemize :premises (@p115)) % 0.29/0.54 (step-pop @p116 :rule scope :premises (@p58)) % 0.29/0.54 (step @p59 :rule process_scope :premises (@p116) :args (@t31)) % 0.29/0.54 (step @p61 :rule implies_elim :premises (@p59)) % 0.29/0.54 (step @p62 :rule eq_resolve :premises (@p61 @p56)) % 0.29/0.54 (step @p63 :rule chain_m_resolution :premises (@p62 @p53 @p47) :args ((or @t18 @t28 @t30) @t32 (@list @t25 @t22))) % 0.29/0.54 (step @p64 :rule cnf_equiv_neg1 :args (@t28)) % 0.29/0.54 (step @p65 :rule reordering :premises (@p64) :args ((or @t19 @t22 @t28))) % 0.29/0.54 (step @p66 :rule cnf_equiv_pos2 :args (@t26)) % 0.29/0.54 (step @p67 :rule reordering :premises (@p66) :args ((or @t19 @t31 @t30))) % 0.29/0.54 (assume-push @p117 @t22) % 0.29/0.54 (step @p69 :rule instantiate :premises (@p117) :args (@t24)) % 0.29/0.54 (step-pop @p118 :rule scope :premises (@p69)) % 0.29/0.54 (step @p70 :rule process_scope :premises (@p118) :args (@t25)) % 0.29/0.54 (step @p72 :rule implies_elim :premises (@p70)) % 0.29/0.54 (step @p73 :rule chain_m_resolution :premises (@p72 @p67 @p65 @p63 @p40 @p35) :args (@t33 (@list true false false false true) (@list @t25 @t22 @t18 @t26 @t28))) % 0.29/0.54 (step @p74 :rule not_equiv_elim1 :premises (@p34)) % 0.29/0.54 (step @p75 :rule chain_m_resolution :premises (@p74 @p73) :args (@t28 @t34 @t35)) % 0.29/0.54 (step @p76 :rule refl :args (@t22)) % 0.29/0.54 (step @p77 :rule refl :args (@t36)) % 0.29/0.54 (step @p78 :rule nary_cong :premises (@p77 @p42 @p76) :args ((or @t36 @t29 @t22))) % 0.29/0.54 (step @p79 :rule cnf_equiv_pos1 :args (@t28)) % 0.29/0.54 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.29/0.54 (step @p81 :rule reordering :premises (@p80) :args ((or @t18 @t22 @t36))) % 0.29/0.54 (step @p82 :rule refl :args (@t40)) % 0.29/0.54 (step @p83 :rule bool-double-not-elim :args (@t21)) % 0.29/0.54 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t33) @t40))) % 0.29/0.54 (assume-push @p119 @t33) % 0.29/0.54 (step @p86 :rule skolemize :premises (@p119)) % 0.29/0.54 (step-pop @p120 :rule scope :premises (@p86)) % 0.29/0.54 (step @p87 :rule process_scope :premises (@p120) :args (@t40)) % 0.29/0.54 (step @p89 :rule implies_elim :premises (@p87)) % 0.29/0.54 (step @p90 :rule eq_resolve :premises (@p89 @p84)) % 0.29/0.54 (step @p91 :rule chain_m_resolution :premises (@p90 @p73) :args (@t40 @t34 @t35)) % 0.29/0.54 (step @p92 :rule refl :args (@t41)) % 0.29/0.54 (step @p93 :rule refl :args (@t39)) % 0.29/0.54 (step @p94 :rule nary_cong :premises (@p93 @p42 @p92) :args ((or @t39 @t29 @t41))) % 0.29/0.54 (step @p95 :rule cnf_equiv_neg2 :args (@t39)) % 0.29/0.54 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.29/0.54 (step @p97 :rule reordering :premises (@p96) :args ((or @t18 @t39 @t41))) % 0.29/0.54 (assume-push @p121 @t22) % 0.29/0.54 (step @p99 :rule instantiate :premises (@p121) :args (@t42)) % 0.29/0.54 (step-pop @p122 :rule scope :premises (@p99)) % 0.29/0.54 (step @p100 :rule process_scope :premises (@p122) :args (@t38)) % 0.29/0.54 (step @p102 :rule implies_elim :premises (@p100)) % 0.29/0.54 (step @p103 :rule chain_m_resolution :premises (@p102 @p97 @p91 @p81 @p75) :args (@t18 (@list true true false false) (@list @t38 @t39 @t22 @t28))) % 0.29/0.54 (step @p104 :rule cnf_equiv_neg1 :args (@t39)) % 0.29/0.54 (step @p105 :rule reordering :premises (@p104) :args ((or @t19 @t38 @t39))) % 0.29/0.54 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p91) :args (@t38 @t32 (@list @t18 @t39))) % 0.29/0.54 (assume-push @p123 @t18) % 0.29/0.54 (step @p108 :rule instantiate :premises (@p123) :args (@t42)) % 0.29/0.54 (step-pop @p124 :rule scope :premises (@p108)) % 0.29/0.54 (step @p109 :rule process_scope :premises (@p124) :args (@t41)) % 0.29/0.54 (step @p111 :rule implies_elim :premises (@p109)) % 0.29/0.54 (step @p112 false :rule chain_m_resolution :premises (@p111 @p106 @p103) :args (false (@list false false) (@list @t38 @t18))) % 0.29/0.54 ) % 0.29/0.54 % SZS output end Proof % 0.29/0.54 % cvc5 exiting %------------------------------------------------------------------------------