%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV176^5 : 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 : n015.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 08:55:34 AM UTC 2026 % Result : Theorem 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV176^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 18:17:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.45/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.cR (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (define @t1 () (@var "X" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "Z" $$unsorted)) % 0.45/0.66 (define @t3 () (_ (_ tptp.cR @t2) @t1)) % 0.45/0.66 (define @t4 () (_ tptp.cR @t1)) % 0.45/0.66 (define @t5 () (_ @t4 @t2)) % 0.45/0.66 (define @t6 () (and @t5 @t3)) % 0.45/0.66 (define @t7 () (@list @t2)) % 0.45/0.66 (define @t8 () (exists @t7 @t6)) % 0.45/0.66 (define @t9 () (not @t8)) % 0.45/0.66 (define @t10 () (@var "Y" $$unsorted)) % 0.45/0.66 (define @t11 () (_ @t4 @t10)) % 0.45/0.66 (define @t12 () (= @t11 @t9)) % 0.45/0.66 (define @t13 () (@list @t1)) % 0.45/0.66 (define @t14 () (forall @t13 @t12)) % 0.45/0.66 (define @t15 () (@list @t10)) % 0.45/0.66 (define @t16 () (exists @t15 @t14)) % 0.45/0.66 (define @t17 () (tptp.cR @t1 @t10)) % 0.45/0.66 (define @t18 () (tptp.cR @t2 @t1)) % 0.45/0.66 (define @t19 () (tptp.cR @t1 @t2)) % 0.45/0.66 (define @t20 () (forall @t7 (or (not @t19) (not @t18)))) % 0.45/0.66 (define @t21 () (forall @t13 (= @t20 @t17))) % 0.45/0.66 (define @t22 () (forall @t15 (not @t21))) % 0.45/0.66 (define @t23 () (not @t22)) % 0.45/0.66 (define @t24 () (= @t11 @t20)) % 0.45/0.66 (define @t25 () (not @t3)) % 0.45/0.66 (define @t26 () (not @t5)) % 0.45/0.66 (define @t27 () (or @t26 @t25)) % 0.45/0.66 (define @t28 () (forall @t7 (not @t6))) % 0.45/0.66 (define @t29 () (not @t28)) % 0.45/0.66 (define @t30 () (@quantifiers_skolemize @t22 0)) % 0.45/0.66 (define @t31 () (forall @t13 (= @t20 (tptp.cR @t1 @t30)))) % 0.45/0.66 (define @t32 () (not (not @t31))) % 0.45/0.66 (define @t33 () (@list true)) % 0.45/0.66 (define @t34 () (forall @t7 (or (not (tptp.cR @t30 @t2)) (not (tptp.cR @t2 @t30))))) % 0.45/0.66 (define @t35 () (@quantifiers_skolemize @t34 0)) % 0.45/0.66 (define @t36 () (forall @t7 (or (not (tptp.cR @t35 @t2)) (not (tptp.cR @t2 @t35))))) % 0.45/0.66 (define @t37 () (tptp.cR @t35 @t30)) % 0.45/0.66 (define @t38 () (= @t36 @t37)) % 0.45/0.66 (define @t39 () (= @t37 @t36)) % 0.45/0.66 (define @t40 () (@list @t30)) % 0.45/0.66 (define @t41 () (tptp.cR @t30 @t30)) % 0.45/0.66 (define @t42 () (= @t34 @t41)) % 0.45/0.66 (define @t43 () (not @t34)) % 0.45/0.66 (define @t44 () (not @t41)) % 0.45/0.66 (define @t45 () (or @t44 @t44)) % 0.45/0.66 (define @t46 () (@list false false)) % 0.45/0.66 (define @t47 () (not @t37)) % 0.45/0.66 (define @t48 () (tptp.cR @t30 @t35)) % 0.45/0.66 (define @t49 () (not @t48)) % 0.45/0.66 (define @t50 () (or @t49 @t47)) % 0.45/0.66 (define @t51 () (not @t50)) % 0.45/0.66 (define @t52 () (@list @t50)) % 0.45/0.66 (define @t53 () (or @t47 @t49)) % 0.45/0.66 (define @t54 () (not @t53)) % 0.45/0.66 (assume @p1 (not (not @t16))) % 0.45/0.66 (assume @p2 true) % 0.45/0.66 (step @p3 :rule exists-elim :args ((= (exists @t15 @t21) @t23))) % 0.45/0.66 (step @p4 :rule eq-symm :args (@t17 @t20)) % 0.45/0.66 (step @p5 :rule cong :premises (@p4) :args ((forall @t13 (= @t17 @t20)))) % 0.45/0.66 (step @p6 :rule refl :args (@t20)) % 0.45/0.66 (step @p7 :rule refl :args (@t17)) % 0.45/0.66 (step @p8 :rule refl :args (@t11)) % 0.45/0.66 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t11 @t17))) % 0.45/0.66 (step @p10 :rule symm :premises (@p9)) % 0.45/0.66 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.45/0.66 (step @p12 :rule cong :premises (@p11 @p6) :args (@t24)) % 0.45/0.66 (step @p13 :rule cong :premises (@p12) :args ((forall @t13 @t24))) % 0.45/0.66 (step @p14 :rule trans :premises (@p13 @p5)) % 0.45/0.66 (step @p15 :rule bool-double-not-elim :args (@t20)) % 0.45/0.66 (step @p16 :rule refl :args (@t18)) % 0.45/0.66 (step @p17 :rule refl :args (@t3)) % 0.45/0.66 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t3 @t18))) % 0.45/0.66 (step @p19 :rule symm :premises (@p18)) % 0.45/0.66 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.45/0.66 (step @p21 :rule cong :premises (@p20) :args (@t25)) % 0.45/0.66 (step @p22 :rule refl :args (@t19)) % 0.45/0.66 (step @p23 :rule refl :args (@t5)) % 0.45/0.66 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t5 @t19))) % 0.45/0.66 (step @p25 :rule symm :premises (@p24)) % 0.45/0.66 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.45/0.66 (step @p27 :rule cong :premises (@p26) :args (@t26)) % 0.45/0.66 (step @p28 :rule nary_cong :premises (@p27 @p21) :args (@t27)) % 0.45/0.66 (step @p29 :rule cong :premises (@p28) :args ((forall @t7 @t27))) % 0.45/0.66 (step @p30 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.45/0.66 (step @p31 :rule cong :premises (@p30) :args (@t28)) % 0.45/0.66 (step @p32 :rule trans :premises (@p31 @p29)) % 0.45/0.66 (step @p33 :rule cong :premises (@p32) :args (@t29)) % 0.45/0.66 (step @p34 :rule exists-elim :args ((= @t8 @t29))) % 0.45/0.66 (step @p35 :rule trans :premises (@p34 @p33)) % 0.45/0.66 (step @p36 :rule cong :premises (@p35) :args (@t9)) % 0.45/0.66 (step @p37 :rule trans :premises (@p36 @p15)) % 0.45/0.66 (step @p38 :rule refl :args (@t11)) % 0.45/0.66 (step @p39 :rule cong :premises (@p38 @p37) :args (@t12)) % 0.45/0.66 (step @p40 :rule cong :premises (@p39) :args (@t14)) % 0.45/0.66 (step @p41 :rule trans :premises (@p40 @p14)) % 0.45/0.66 (step @p42 :rule cong :premises (@p41) :args (@t16)) % 0.45/0.66 (step @p43 :rule trans :premises (@p42 @p3)) % 0.45/0.66 (step @p44 :rule bool-double-not-elim :args (@t16)) % 0.45/0.66 (step @p45 :rule trans :premises (@p44 @p43)) % 0.45/0.66 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.45/0.66 (step @p47 :rule refl :args (@t31)) % 0.45/0.66 (step @p48 :rule bool-double-not-elim :args (@t22)) % 0.45/0.66 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t23) @t31))) % 0.45/0.66 (step @p50 :rule bool-double-not-elim :args (@t31)) % 0.45/0.66 (step @p51 :rule refl :args (@t23)) % 0.45/0.66 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t23 @t32))) % 0.45/0.66 (assume-push @p118 @t23) % 0.45/0.66 (step @p54 :rule skolemize :premises (@p46)) % 0.45/0.66 (step-pop @p119 :rule scope :premises (@p54)) % 0.45/0.66 (step @p55 :rule process_scope :premises (@p119) :args (@t32)) % 0.45/0.66 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.45/0.66 (step @p58 :rule implies_elim :premises (@p57)) % 0.45/0.66 (step @p59 :rule eq_resolve :premises (@p58 @p49)) % 0.45/0.66 (step @p60 :rule chain_m_resolution :premises (@p59 @p46) :args (@t31 @t33 (@list @t22))) % 0.45/0.66 (step @p61 :rule eq-symm :args (@t36 @t37)) % 0.45/0.66 (step @p62 :rule cong :premises (@p47 @p61) :args ((=> @t31 @t38))) % 0.45/0.66 (assume-push @p120 @t31) % 0.45/0.66 (step @p64 :rule instantiate :premises (@p60) :args ((@list @t35))) % 0.45/0.66 (step-pop @p121 :rule scope :premises (@p64)) % 0.45/0.66 (step @p65 :rule process_scope :premises (@p121) :args (@t38)) % 0.45/0.66 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.45/0.66 (step @p68 :rule implies_elim :premises (@p67)) % 0.45/0.66 (step @p69 :rule chain_m_resolution :premises (@p68 @p60) :args (@t39 (@list false) (@list @t31))) % 0.45/0.66 (step @p70 :rule instantiate :premises (@p60) :args (@t40)) % 0.45/0.66 (step @p71 :rule cnf_equiv_pos1 :args (@t42)) % 0.45/0.66 (step @p72 :rule reordering :premises (@p71) :args ((or @t41 @t43 (not @t42)))) % 0.45/0.66 (step @p73 :rule aci_norm :args ((= @t45 @t44))) % 0.45/0.66 (step @p74 :rule refl :args (@t34)) % 0.45/0.66 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t34 @t45))) % 0.45/0.66 (assume-push @p122 @t34) % 0.45/0.66 (step @p77 :rule instantiate :premises (@p122) :args (@t40)) % 0.45/0.66 (step-pop @p123 :rule scope :premises (@p77)) % 0.45/0.66 (step @p78 :rule process_scope :premises (@p123) :args (@t45)) % 0.45/0.66 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.45/0.66 (step @p81 :rule implies_elim :premises (@p80)) % 0.45/0.66 (step @p82 :rule chain_m_resolution :premises (@p81 @p72 @p70) :args (@t43 @t46 (@list @t41 @t42))) % 0.45/0.66 (step @p83 :rule refl :args (@t51)) % 0.45/0.66 (step @p84 :rule bool-double-not-elim :args (@t34)) % 0.45/0.66 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t43) @t51))) % 0.45/0.66 (assume-push @p124 @t43) % 0.45/0.66 (step @p87 :rule skolemize :premises (@p124)) % 0.45/0.66 (step-pop @p125 :rule scope :premises (@p87)) % 0.45/0.66 (step @p88 :rule process_scope :premises (@p125) :args (@t51)) % 0.45/0.66 (step @p90 :rule implies_elim :premises (@p88)) % 0.45/0.66 (step @p91 :rule eq_resolve :premises (@p90 @p85)) % 0.45/0.66 (step @p92 :rule chain_m_resolution :premises (@p91 @p82) :args (@t51 @t33 (@list @t34))) % 0.45/0.66 (step @p93 :rule bool-double-not-elim :args (@t37)) % 0.45/0.66 (step @p94 :rule refl :args (@t50)) % 0.45/0.66 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t50 (not @t47)))) % 0.45/0.66 (step @p96 :rule cnf_or_neg :args (@t50 1)) % 0.45/0.66 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.45/0.66 (step @p98 :rule reordering :premises (@p97) :args ((or @t37 @t50))) % 0.45/0.66 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t37 @t33 @t52)) % 0.45/0.66 (step @p100 :rule cnf_equiv_pos1 :args (@t39)) % 0.45/0.66 (step @p101 :rule reordering :premises (@p100) :args ((or @t47 @t36 (not @t39)))) % 0.45/0.66 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p69) :args (@t36 @t46 (@list @t37 @t39))) % 0.45/0.66 (step @p103 :rule bool-double-not-elim :args (@t48)) % 0.45/0.66 (step @p104 :rule nary_cong :premises (@p94 @p103) :args ((or @t50 (not @t49)))) % 0.45/0.66 (step @p105 :rule cnf_or_neg :args (@t50 0)) % 0.45/0.66 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.45/0.66 (step @p107 :rule reordering :premises (@p106) :args ((or @t48 @t50))) % 0.45/0.66 (step @p108 :rule chain_m_resolution :premises (@p107 @p92) :args (@t48 @t33 @t52)) % 0.45/0.66 (step @p109 :rule cnf_or_pos :args (@t53)) % 0.45/0.66 (step @p110 :rule reordering :premises (@p109) :args ((or @t49 @t47 @t54))) % 0.45/0.66 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p99) :args (@t54 @t46 (@list @t48 @t37))) % 0.45/0.66 (assume-push @p126 @t36) % 0.45/0.66 (step @p113 :rule instantiate :premises (@p126) :args (@t40)) % 0.45/0.66 (step-pop @p127 :rule scope :premises (@p113)) % 0.45/0.66 (step @p114 :rule process_scope :premises (@p127) :args (@t53)) % 0.45/0.66 (step @p116 :rule implies_elim :premises (@p114)) % 0.45/0.66 (step @p117 false :rule chain_m_resolution :premises (@p116 @p111 @p102) :args (false (@list true false) (@list @t53 @t36))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------