%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN361^5 : 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 : n005.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 09:08:41 AM UTC 2026 % Result : Theorem 0.52s 0.73s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN361^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:25:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.52/0.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.73 % SZS status Theorem % 0.52/0.73 % SZS output start Proof % 0.52/0.73 ( % 0.52/0.73 (declare-sort $$unsorted 0) % 0.52/0.73 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.cS (-> $$unsorted Bool)) % 0.52/0.73 (define @t1 () (@var "Xu" $$unsorted)) % 0.52/0.73 (define @t2 () (_ tptp.cS @t1)) % 0.52/0.73 (define @t3 () (not @t2)) % 0.52/0.73 (define @t4 () (@list @t1)) % 0.52/0.73 (define @t5 () (exists @t4 @t3)) % 0.52/0.73 (define @t6 () (@var "Xy" $$unsorted)) % 0.52/0.73 (define @t7 () (@var "Xx" $$unsorted)) % 0.52/0.73 (define @t8 () (_ (_ tptp.cQ @t7) @t6)) % 0.52/0.73 (define @t9 () (not @t8)) % 0.52/0.73 (define @t10 () (_ tptp.cP @t7)) % 0.52/0.73 (define @t11 () (_ @t10 @t6)) % 0.52/0.73 (define @t12 () (@list @t7 @t6)) % 0.52/0.73 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.52/0.73 (define @t14 () (_ (_ tptp.cQ @t6) @t7)) % 0.52/0.73 (define @t15 () (@list @t6)) % 0.52/0.73 (define @t16 () (exists @t15 @t14)) % 0.52/0.73 (define @t17 () (_ tptp.cS @t7)) % 0.52/0.73 (define @t18 () (=> @t17 @t16)) % 0.52/0.73 (define @t19 () (@list @t7)) % 0.52/0.73 (define @t20 () (forall @t19 @t18)) % 0.52/0.73 (define @t21 () (@var "Xv" $$unsorted)) % 0.52/0.73 (define @t22 () (_ @t10 @t21)) % 0.52/0.73 (define @t23 () (forall @t19 @t22)) % 0.52/0.73 (define @t24 () (@list @t21)) % 0.52/0.73 (define @t25 () (exists @t24 @t23)) % 0.52/0.73 (define @t26 () (and @t25 @t20 @t13)) % 0.52/0.73 (define @t27 () (=> @t26 @t5)) % 0.52/0.73 (define @t28 () (not @t27)) % 0.52/0.73 (define @t29 () (tptp.cS @t1)) % 0.52/0.73 (define @t30 () (forall @t4 (not @t3))) % 0.52/0.73 (define @t31 () (not @t30)) % 0.52/0.73 (define @t32 () (tptp.cQ @t7 @t6)) % 0.52/0.73 (define @t33 () (tptp.cP @t7 @t6)) % 0.52/0.73 (define @t34 () (not @t11)) % 0.52/0.73 (define @t35 () (or @t34 @t9)) % 0.52/0.73 (define @t36 () (tptp.cQ @t6 @t7)) % 0.52/0.73 (define @t37 () (not (forall @t15 (not @t36)))) % 0.52/0.73 (define @t38 () (tptp.cS @t7)) % 0.52/0.73 (define @t39 () (not @t17)) % 0.52/0.73 (define @t40 () (or @t39 @t37)) % 0.52/0.73 (define @t41 () (not @t14)) % 0.52/0.73 (define @t42 () (forall @t15 @t41)) % 0.52/0.73 (define @t43 () (not @t42)) % 0.52/0.73 (define @t44 () (tptp.cP @t7 @t21)) % 0.52/0.73 (define @t45 () (forall @t19 @t44)) % 0.52/0.73 (define @t46 () (forall @t24 (not @t45))) % 0.52/0.73 (define @t47 () (not @t46)) % 0.52/0.73 (define @t48 () (@quantifiers_skolemize @t46 0)) % 0.52/0.73 (define @t49 () (forall @t19 (tptp.cP @t7 @t48))) % 0.52/0.73 (define @t50 () (not (not @t49))) % 0.52/0.73 (define @t51 () (@list true)) % 0.52/0.73 (define @t52 () (forall @t15 (not (tptp.cQ @t6 @t48)))) % 0.52/0.73 (define @t53 () (@quantifiers_skolemize @t52 0)) % 0.52/0.73 (define @t54 () (@list @t48)) % 0.52/0.73 (define @t55 () (not @t52)) % 0.52/0.73 (define @t56 () (tptp.cS @t48)) % 0.52/0.73 (define @t57 () (not @t56)) % 0.52/0.73 (define @t58 () (or @t57 @t55)) % 0.52/0.73 (define @t59 () (@list false false)) % 0.52/0.73 (define @t60 () (tptp.cQ @t53 @t48)) % 0.52/0.73 (define @t61 () (not @t60)) % 0.52/0.73 (define @t62 () (not @t61)) % 0.52/0.73 (define @t63 () (tptp.cP @t53 @t48)) % 0.52/0.73 (define @t64 () (not @t63)) % 0.52/0.73 (define @t65 () (or @t64 @t61)) % 0.52/0.73 (assume @p1 @t28) % 0.52/0.73 (assume @p2 true) % 0.52/0.73 (step @p3 :rule refl :args (@t29)) % 0.52/0.73 (step @p4 :rule refl :args (@t2)) % 0.52/0.73 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t29))) % 0.52/0.73 (step @p6 :rule symm :premises (@p5)) % 0.52/0.73 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.52/0.73 (step @p8 :rule cong :premises (@p7) :args ((forall @t4 @t2))) % 0.52/0.73 (step @p9 :rule bool-double-not-elim :args (@t2)) % 0.52/0.73 (step @p10 :rule cong :premises (@p9) :args (@t30)) % 0.52/0.73 (step @p11 :rule trans :premises (@p10 @p8)) % 0.52/0.73 (step @p12 :rule cong :premises (@p11) :args (@t31)) % 0.52/0.73 (step @p13 :rule exists-elim :args ((= @t5 @t31))) % 0.52/0.73 (step @p14 :rule trans :premises (@p13 @p12)) % 0.52/0.73 (step @p15 :rule refl :args (@t32)) % 0.52/0.73 (step @p16 :rule refl :args (@t8)) % 0.52/0.73 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t8 @t32))) % 0.52/0.73 (step @p18 :rule symm :premises (@p17)) % 0.52/0.73 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.52/0.73 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 0.52/0.73 (step @p21 :rule refl :args (@t33)) % 0.52/0.73 (step @p22 :rule refl :args (@t11)) % 0.52/0.73 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t11 @t33))) % 0.52/0.73 (step @p24 :rule symm :premises (@p23)) % 0.52/0.73 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.52/0.73 (step @p26 :rule cong :premises (@p25) :args (@t34)) % 0.52/0.73 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t35)) % 0.52/0.73 (step @p28 :rule cong :premises (@p27) :args ((forall @t12 @t35))) % 0.52/0.73 (step @p29 :rule bool-impl-elim :args (@t11 @t9)) % 0.52/0.73 (step @p30 :rule cong :premises (@p29) :args (@t13)) % 0.52/0.73 (step @p31 :rule trans :premises (@p30 @p28)) % 0.52/0.73 (step @p32 :rule refl :args (@t37)) % 0.52/0.73 (step @p33 :rule refl :args (@t38)) % 0.52/0.73 (step @p34 :rule refl :args (@t17)) % 0.52/0.73 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t17 @t38))) % 0.52/0.73 (step @p36 :rule symm :premises (@p35)) % 0.52/0.73 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.52/0.73 (step @p38 :rule cong :premises (@p37) :args (@t39)) % 0.52/0.73 (step @p39 :rule nary_cong :premises (@p38 @p32) :args (@t40)) % 0.52/0.73 (step @p40 :rule cong :premises (@p39) :args ((forall @t19 @t40))) % 0.52/0.73 (step @p41 :rule bool-impl-elim :args (@t17 @t37)) % 0.52/0.73 (step @p42 :rule cong :premises (@p41) :args ((forall @t19 (=> @t17 @t37)))) % 0.52/0.73 (step @p43 :rule trans :premises (@p42 @p40)) % 0.52/0.73 (step @p44 :rule refl :args (@t36)) % 0.52/0.73 (step @p45 :rule refl :args (@t14)) % 0.52/0.73 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t14 @t36))) % 0.52/0.73 (step @p47 :rule symm :premises (@p46)) % 0.52/0.73 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.52/0.73 (step @p49 :rule cong :premises (@p48) :args (@t41)) % 0.52/0.73 (step @p50 :rule cong :premises (@p49) :args (@t42)) % 0.52/0.73 (step @p51 :rule cong :premises (@p50) :args (@t43)) % 0.52/0.73 (step @p52 :rule exists-elim :args ((= @t16 @t43))) % 0.52/0.73 (step @p53 :rule trans :premises (@p52 @p51)) % 0.52/0.73 (step @p54 :rule refl :args (@t17)) % 0.52/0.73 (step @p55 :rule cong :premises (@p54 @p53) :args (@t18)) % 0.52/0.73 (step @p56 :rule cong :premises (@p55) :args (@t20)) % 0.52/0.73 (step @p57 :rule trans :premises (@p56 @p43)) % 0.52/0.73 (step @p58 :rule exists-elim :args ((= (exists @t24 @t45) @t47))) % 0.52/0.73 (step @p59 :rule refl :args (@t44)) % 0.52/0.73 (step @p60 :rule refl :args (@t22)) % 0.52/0.73 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t22 @t44))) % 0.52/0.73 (step @p62 :rule symm :premises (@p61)) % 0.52/0.73 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.52/0.73 (step @p64 :rule cong :premises (@p63) :args (@t23)) % 0.52/0.73 (step @p65 :rule cong :premises (@p64) :args (@t25)) % 0.52/0.73 (step @p66 :rule trans :premises (@p65 @p58)) % 0.52/0.73 (step @p67 :rule nary_cong :premises (@p66 @p57 @p31) :args (@t26)) % 0.52/0.73 (step @p68 :rule cong :premises (@p67 @p14) :args (@t27)) % 0.52/0.73 (step @p69 :rule cong :premises (@p68) :args (@t28)) % 0.52/0.73 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 0.52/0.73 (step @p71 :rule not_implies_elim1 :premises (@p70)) % 0.52/0.73 (step @p72 :rule and_elim :premises (@p71) :args (0)) % 0.52/0.73 (step @p73 :rule refl :args (@t49)) % 0.52/0.73 (step @p74 :rule bool-double-not-elim :args (@t46)) % 0.52/0.73 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t47) @t49))) % 0.52/0.73 (step @p76 :rule bool-double-not-elim :args (@t49)) % 0.52/0.73 (step @p77 :rule refl :args (@t47)) % 0.52/0.73 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t47 @t50))) % 0.52/0.73 (assume-push @p120 @t47) % 0.52/0.73 (step @p80 :rule skolemize :premises (@p72)) % 0.52/0.73 (step-pop @p121 :rule scope :premises (@p80)) % 0.52/0.73 (step @p81 :rule process_scope :premises (@p121) :args (@t50)) % 0.52/0.73 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.52/0.73 (step @p84 :rule implies_elim :premises (@p83)) % 0.52/0.73 (step @p85 :rule eq_resolve :premises (@p84 @p75)) % 0.52/0.73 (step @p86 :rule chain_m_resolution :premises (@p85 @p72) :args (@t49 @t51 (@list @t46))) % 0.52/0.73 (step @p87 :rule and_elim :premises (@p71) :args (2)) % 0.52/0.73 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t53 @t48))) % 0.52/0.73 (step @p89 :rule and_elim :premises (@p71) :args (1)) % 0.52/0.73 (step @p90 :rule instantiate :premises (@p89) :args (@t54)) % 0.52/0.73 (step @p91 :rule not_implies_elim2 :premises (@p70)) % 0.52/0.73 (step @p92 :rule not_not_elim :premises (@p91)) % 0.52/0.73 (step @p93 :rule instantiate :premises (@p92) :args (@t54)) % 0.52/0.73 (step @p94 :rule cnf_or_pos :args (@t58)) % 0.52/0.73 (step @p95 :rule reordering :premises (@p94) :args ((or @t57 @t55 (not @t58)))) % 0.52/0.73 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p90) :args (@t55 @t59 (@list @t56 @t58))) % 0.52/0.73 (step @p97 :rule refl :args (@t60)) % 0.52/0.73 (step @p98 :rule bool-double-not-elim :args (@t52)) % 0.52/0.73 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t55) @t60))) % 0.52/0.73 (step @p100 :rule bool-double-not-elim :args (@t60)) % 0.52/0.73 (step @p101 :rule refl :args (@t55)) % 0.52/0.73 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t55 @t62))) % 0.52/0.73 (assume-push @p122 @t55) % 0.52/0.73 (step @p104 :rule skolemize :premises (@p96)) % 0.52/0.73 (step-pop @p123 :rule scope :premises (@p104)) % 0.52/0.73 (step @p105 :rule process_scope :premises (@p123) :args (@t62)) % 0.52/0.73 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.52/0.73 (step @p108 :rule implies_elim :premises (@p107)) % 0.52/0.73 (step @p109 :rule eq_resolve :premises (@p108 @p99)) % 0.52/0.73 (step @p110 :rule chain_m_resolution :premises (@p109 @p96) :args (@t60 @t51 (@list @t52))) % 0.52/0.74 (step @p111 :rule cnf_or_pos :args (@t65)) % 0.52/0.74 (step @p112 :rule reordering :premises (@p111) :args ((or @t61 @t64 (not @t65)))) % 0.52/0.74 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p88) :args (@t64 @t59 (@list @t60 @t65))) % 0.52/0.74 (assume-push @p124 @t49) % 0.52/0.74 (step @p115 :rule instantiate :premises (@p86) :args ((@list @t53))) % 0.52/0.74 (step-pop @p125 :rule scope :premises (@p115)) % 0.52/0.74 (step @p116 :rule process_scope :premises (@p125) :args (@t63)) % 0.52/0.74 (step @p118 :rule implies_elim :premises (@p116)) % 0.52/0.74 (step @p119 false :rule chain_m_resolution :premises (@p118 @p113 @p86) :args (false (@list true false) (@list @t63 @t49))) % 0.52/0.74 ) % 0.52/0.74 % SZS output end Proof % 0.52/0.74 % cvc5 exiting %------------------------------------------------------------------------------