%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO108^5 : 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 : n003.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 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO108^5 : 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 : n003.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:58:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.35/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.cM (-> $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.cN (-> $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.cG (-> $$unsorted Bool)) % 0.35/0.56 (define @t1 () (@var "T" $$unsorted)) % 0.35/0.56 (define @t2 () (_ tptp.cG @t1)) % 0.35/0.56 (define @t3 () (@list @t1)) % 0.35/0.56 (define @t4 () (forall @t3 @t2)) % 0.35/0.56 (define @t5 () (not @t4)) % 0.35/0.56 (define @t6 () (@var "Z" $$unsorted)) % 0.35/0.56 (define @t7 () (_ tptp.cN @t6)) % 0.35/0.56 (define @t8 () (not @t7)) % 0.35/0.56 (define @t9 () (or @t8 @t5)) % 0.35/0.56 (define @t10 () (@list @t6)) % 0.35/0.56 (define @t11 () (forall @t10 @t9)) % 0.35/0.56 (define @t12 () (not @t11)) % 0.35/0.56 (define @t13 () (@var "S" $$unsorted)) % 0.35/0.56 (define @t14 () (_ tptp.cN @t13)) % 0.35/0.56 (define @t15 () (@list @t13)) % 0.35/0.56 (define @t16 () (exists @t15 @t14)) % 0.35/0.56 (define @t17 () (@var "Y" $$unsorted)) % 0.35/0.56 (define @t18 () (_ tptp.cM @t17)) % 0.35/0.56 (define @t19 () (or @t18 @t16)) % 0.35/0.56 (define @t20 () (@list @t17)) % 0.35/0.56 (define @t21 () (forall @t20 @t19)) % 0.35/0.56 (define @t22 () (not @t21)) % 0.35/0.56 (define @t23 () (@var "X" $$unsorted)) % 0.35/0.56 (define @t24 () (_ tptp.cG @t23)) % 0.35/0.56 (define @t25 () (not @t24)) % 0.35/0.56 (define @t26 () (@list @t23)) % 0.35/0.56 (define @t27 () (exists @t26 @t25)) % 0.35/0.56 (define @t28 () (@var "R" $$unsorted)) % 0.35/0.56 (define @t29 () (_ tptp.cM @t28)) % 0.35/0.56 (define @t30 () (@list @t28)) % 0.35/0.56 (define @t31 () (forall @t30 @t29)) % 0.35/0.56 (define @t32 () (or @t31 @t27 @t22 @t12)) % 0.35/0.56 (define @t33 () (not @t32)) % 0.35/0.56 (define @t34 () (tptp.cN @t6)) % 0.35/0.56 (define @t35 () (forall @t10 @t8)) % 0.35/0.56 (define @t36 () (tptp.cG @t1)) % 0.35/0.56 (define @t37 () (forall @t3 @t36)) % 0.35/0.56 (define @t38 () (not @t37)) % 0.35/0.56 (define @t39 () (or @t38 @t35)) % 0.35/0.56 (define @t40 () (or @t38 @t8)) % 0.35/0.56 (define @t41 () (or @t8 @t38)) % 0.35/0.56 (define @t42 () (tptp.cM @t17)) % 0.35/0.56 (define @t43 () (forall @t20 @t18)) % 0.35/0.56 (define @t44 () (tptp.cN @t13)) % 0.35/0.56 (define @t45 () (forall @t15 (not @t44))) % 0.35/0.56 (define @t46 () (not @t45)) % 0.35/0.56 (define @t47 () (or @t46 @t43)) % 0.35/0.56 (define @t48 () (or @t46 @t18)) % 0.35/0.56 (define @t49 () (or @t18 @t46)) % 0.35/0.56 (define @t50 () (not @t14)) % 0.35/0.56 (define @t51 () (forall @t15 @t50)) % 0.35/0.56 (define @t52 () (not @t51)) % 0.35/0.56 (define @t53 () (tptp.cG @t23)) % 0.35/0.56 (define @t54 () (forall @t26 (not @t25))) % 0.35/0.56 (define @t55 () (not @t54)) % 0.35/0.56 (define @t56 () (tptp.cM @t28)) % 0.35/0.56 (define @t57 () (forall @t26 @t53)) % 0.35/0.56 (define @t58 () (forall @t30 @t56)) % 0.35/0.56 (define @t59 () (forall @t20 @t42)) % 0.35/0.56 (define @t60 () (@list true)) % 0.35/0.56 (define @t61 () (forall @t10 (not @t34))) % 0.35/0.56 (assume @p1 @t33) % 0.35/0.56 (assume @p2 true) % 0.35/0.56 (step @p3 :rule refl :args (@t34)) % 0.35/0.56 (step @p4 :rule refl :args (@t7)) % 0.35/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t7 @t34))) % 0.35/0.56 (step @p6 :rule symm :premises (@p5)) % 0.35/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.35/0.56 (step @p8 :rule cong :premises (@p7) :args (@t8)) % 0.35/0.56 (step @p9 :rule cong :premises (@p8) :args (@t35)) % 0.35/0.56 (step @p10 :rule refl :args (@t38)) % 0.35/0.56 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t39)) % 0.35/0.56 (step @p12 :rule quant-miniscope-or :args ((= (forall @t10 @t40) @t39))) % 0.35/0.56 (step @p13 :rule aci_norm :args ((= @t41 @t40))) % 0.35/0.56 (step @p14 :rule cong :premises (@p13) :args ((forall @t10 @t41))) % 0.35/0.56 (step @p15 :rule trans :premises (@p14 @p12)) % 0.35/0.56 (step @p16 :rule trans :premises (@p15 @p11)) % 0.35/0.56 (step @p17 :rule refl :args (@t36)) % 0.35/0.56 (step @p18 :rule refl :args (@t2)) % 0.35/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t2 @t36))) % 0.35/0.56 (step @p20 :rule symm :premises (@p19)) % 0.35/0.56 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.35/0.56 (step @p22 :rule cong :premises (@p21) :args (@t4)) % 0.35/0.56 (step @p23 :rule cong :premises (@p22) :args (@t5)) % 0.35/0.56 (step @p24 :rule refl :args (@t8)) % 0.35/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t9)) % 0.35/0.56 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 0.35/0.56 (step @p27 :rule trans :premises (@p26 @p16)) % 0.35/0.56 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 0.35/0.56 (step @p29 :rule refl :args (@t42)) % 0.35/0.56 (step @p30 :rule refl :args (@t18)) % 0.35/0.56 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t18 @t42))) % 0.35/0.56 (step @p32 :rule symm :premises (@p31)) % 0.35/0.56 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.35/0.56 (step @p34 :rule cong :premises (@p33) :args (@t43)) % 0.35/0.56 (step @p35 :rule refl :args (@t46)) % 0.35/0.56 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t47)) % 0.35/0.56 (step @p37 :rule quant-miniscope-or :args ((= (forall @t20 @t48) @t47))) % 0.35/0.57 (step @p38 :rule aci_norm :args ((= @t49 @t48))) % 0.35/0.57 (step @p39 :rule cong :premises (@p38) :args ((forall @t20 @t49))) % 0.35/0.57 (step @p40 :rule trans :premises (@p39 @p37)) % 0.35/0.57 (step @p41 :rule trans :premises (@p40 @p36)) % 0.35/0.57 (step @p42 :rule refl :args (@t44)) % 0.35/0.57 (step @p43 :rule refl :args (@t14)) % 0.35/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t14 @t44))) % 0.35/0.57 (step @p45 :rule symm :premises (@p44)) % 0.35/0.57 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.35/0.57 (step @p47 :rule cong :premises (@p46) :args (@t50)) % 0.35/0.57 (step @p48 :rule cong :premises (@p47) :args (@t51)) % 0.35/0.57 (step @p49 :rule cong :premises (@p48) :args (@t52)) % 0.35/0.57 (step @p50 :rule exists-elim :args ((= @t16 @t52))) % 0.35/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.35/0.57 (step @p52 :rule refl :args (@t18)) % 0.35/0.57 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t19)) % 0.35/0.57 (step @p54 :rule cong :premises (@p53) :args (@t21)) % 0.35/0.57 (step @p55 :rule trans :premises (@p54 @p41)) % 0.35/0.57 (step @p56 :rule cong :premises (@p55) :args (@t22)) % 0.35/0.57 (step @p57 :rule refl :args (@t53)) % 0.35/0.57 (step @p58 :rule refl :args (@t24)) % 0.35/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t24 @t53))) % 0.35/0.57 (step @p60 :rule symm :premises (@p59)) % 0.35/0.57 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.35/0.57 (step @p62 :rule cong :premises (@p61) :args ((forall @t26 @t24))) % 0.35/0.57 (step @p63 :rule bool-double-not-elim :args (@t24)) % 0.35/0.57 (step @p64 :rule cong :premises (@p63) :args (@t54)) % 0.35/0.57 (step @p65 :rule trans :premises (@p64 @p62)) % 0.35/0.57 (step @p66 :rule cong :premises (@p65) :args (@t55)) % 0.35/0.57 (step @p67 :rule exists-elim :args ((= @t27 @t55))) % 0.35/0.57 (step @p68 :rule trans :premises (@p67 @p66)) % 0.35/0.57 (step @p69 :rule refl :args (@t56)) % 0.35/0.57 (step @p70 :rule refl :args (@t29)) % 0.35/0.57 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t29 @t56))) % 0.35/0.57 (step @p72 :rule symm :premises (@p71)) % 0.35/0.57 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.35/0.57 (step @p74 :rule cong :premises (@p73) :args (@t31)) % 0.35/0.57 (step @p75 :rule nary_cong :premises (@p74 @p68 @p56 @p28) :args (@t32)) % 0.35/0.57 (step @p76 :rule cong :premises (@p75) :args (@t33)) % 0.35/0.57 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 0.35/0.57 (step @p78 :rule not_or_elim :premises (@p77) :args (1)) % 0.35/0.57 (step @p79 :rule not_not_elim :premises (@p78)) % 0.35/0.57 (step @p80 :rule alpha_equiv :args (@t57 (@list @t23) (@list @t1))) % 0.35/0.57 (step @p81 :rule equiv_elim1 :premises (@p80)) % 0.35/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p79) :args (@t37 (@list false) (@list @t57))) % 0.35/0.57 (step @p83 :rule not_or_elim :premises (@p77) :args (0)) % 0.35/0.57 (step @p84 :rule alpha_equiv :args (@t58 (@list @t28) (@list @t17))) % 0.35/0.57 (step @p85 :rule equiv_elim2 :premises (@p84)) % 0.35/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p83) :args ((not @t59) @t60 (@list @t58))) % 0.35/0.57 (step @p87 :rule not_or_elim :premises (@p77) :args (2)) % 0.35/0.57 (step @p88 :rule not_not_elim :premises (@p87)) % 0.35/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t46 @t60 (@list @t59))) % 0.35/0.57 (step @p90 :rule alpha_equiv :args (@t45 (@list @t13) (@list @t6))) % 0.35/0.57 (step @p91 :rule equiv_elim2 :premises (@p90)) % 0.35/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p89) :args ((not @t61) @t60 (@list @t45))) % 0.35/0.57 (step @p93 :rule not_or_elim :premises (@p77) :args (3)) % 0.35/0.57 (step @p94 :rule not_not_elim :premises (@p93)) % 0.35/0.57 (step @p95 false :rule chain_m_resolution :premises (@p94 @p92 @p82) :args (false (@list true false) (@list @t61 @t37))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------