%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO159^5 : 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 : n023.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 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO159^5 : TPTP v9.2.1. Released v4.0.0. % 0.10/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 00:00:28 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.cB (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.cC (-> $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "Xv" $$unsorted)) % 0.37/0.56 (define @t2 () (_ tptp.cC @t1)) % 0.37/0.56 (define @t3 () (not @t2)) % 0.37/0.56 (define @t4 () (@var "Xu" $$unsorted)) % 0.37/0.56 (define @t5 () (_ (_ tptp.cB @t4) @t1)) % 0.37/0.56 (define @t6 () (=> @t5 @t3)) % 0.37/0.56 (define @t7 () (not @t6)) % 0.37/0.56 (define @t8 () (@list @t1)) % 0.37/0.56 (define @t9 () (exists @t8 @t7)) % 0.37/0.56 (define @t10 () (not @t9)) % 0.37/0.56 (define @t11 () (_ tptp.cA @t4)) % 0.37/0.56 (define @t12 () (and @t11 @t10)) % 0.37/0.56 (define @t13 () (@list @t4)) % 0.37/0.56 (define @t14 () (exists @t13 @t12)) % 0.37/0.56 (define @t15 () (@var "Xy" $$unsorted)) % 0.37/0.56 (define @t16 () (_ tptp.cC @t15)) % 0.37/0.56 (define @t17 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t18 () (_ (_ tptp.cB @t17) @t15)) % 0.37/0.56 (define @t19 () (and @t18 @t16)) % 0.37/0.56 (define @t20 () (@list @t15)) % 0.37/0.56 (define @t21 () (exists @t20 @t19)) % 0.37/0.56 (define @t22 () (_ tptp.cA @t17)) % 0.37/0.56 (define @t23 () (=> @t22 @t21)) % 0.37/0.56 (define @t24 () (@list @t17)) % 0.37/0.56 (define @t25 () (forall @t24 @t23)) % 0.37/0.56 (define @t26 () (not @t25)) % 0.37/0.56 (define @t27 () (=> @t26 @t14)) % 0.37/0.56 (define @t28 () (not @t27)) % 0.37/0.56 (define @t29 () (tptp.cC @t1)) % 0.37/0.56 (define @t30 () (tptp.cB @t4 @t1)) % 0.37/0.56 (define @t31 () (forall @t8 (or (not @t30) (not @t29)))) % 0.37/0.56 (define @t32 () (not @t31)) % 0.37/0.56 (define @t33 () (tptp.cA @t4)) % 0.37/0.56 (define @t34 () (not @t11)) % 0.37/0.56 (define @t35 () (or @t34 @t32)) % 0.37/0.56 (define @t36 () (and @t11 @t31)) % 0.37/0.56 (define @t37 () (forall @t13 (not @t36))) % 0.37/0.56 (define @t38 () (not @t37)) % 0.37/0.56 (define @t39 () (not @t5)) % 0.37/0.56 (define @t40 () (or @t39 @t3)) % 0.37/0.56 (define @t41 () (forall @t8 (not @t7))) % 0.37/0.56 (define @t42 () (not @t41)) % 0.37/0.56 (define @t43 () (tptp.cC @t15)) % 0.37/0.56 (define @t44 () (tptp.cB @t17 @t15)) % 0.37/0.56 (define @t45 () (not (forall @t20 (or (not @t44) (not @t43))))) % 0.37/0.56 (define @t46 () (tptp.cA @t17)) % 0.37/0.56 (define @t47 () (not @t22)) % 0.37/0.56 (define @t48 () (or @t47 @t45)) % 0.37/0.56 (define @t49 () (not @t16)) % 0.37/0.56 (define @t50 () (not @t18)) % 0.37/0.56 (define @t51 () (or @t50 @t49)) % 0.37/0.56 (define @t52 () (forall @t20 (not @t19))) % 0.37/0.56 (define @t53 () (not @t52)) % 0.37/0.56 (define @t54 () (forall @t24 (or (not @t46) @t45))) % 0.37/0.56 (define @t55 () (forall @t13 (or (not @t33) @t32))) % 0.37/0.56 (define @t56 () (@list true)) % 0.37/0.56 (assume @p1 @t28) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule refl :args (@t32)) % 0.37/0.56 (step @p4 :rule refl :args (@t33)) % 0.37/0.56 (step @p5 :rule refl :args (@t11)) % 0.37/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t11 @t33))) % 0.37/0.56 (step @p7 :rule symm :premises (@p6)) % 0.37/0.56 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.37/0.56 (step @p9 :rule cong :premises (@p8) :args (@t34)) % 0.37/0.56 (step @p10 :rule nary_cong :premises (@p9 @p3) :args (@t35)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10) :args ((forall @t13 @t35))) % 0.37/0.56 (step @p12 :rule bool-and-de-morgan :args (@t11 @t31 true)) % 0.37/0.56 (step @p13 :rule cong :premises (@p12) :args (@t37)) % 0.37/0.56 (step @p14 :rule trans :premises (@p13 @p11)) % 0.37/0.56 (step @p15 :rule cong :premises (@p14) :args (@t38)) % 0.37/0.56 (step @p16 :rule exists-elim :args ((= (exists @t13 @t36) @t38))) % 0.37/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.37/0.56 (step @p18 :rule bool-double-not-elim :args (@t31)) % 0.37/0.56 (step @p19 :rule refl :args (@t29)) % 0.37/0.56 (step @p20 :rule refl :args (@t2)) % 0.37/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t2 @t29))) % 0.37/0.56 (step @p22 :rule symm :premises (@p21)) % 0.37/0.56 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.37/0.56 (step @p24 :rule cong :premises (@p23) :args (@t3)) % 0.37/0.56 (step @p25 :rule refl :args (@t30)) % 0.37/0.56 (step @p26 :rule refl :args (@t5)) % 0.37/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t5 @t30))) % 0.37/0.56 (step @p28 :rule symm :premises (@p27)) % 0.37/0.56 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29) :args (@t39)) % 0.37/0.56 (step @p31 :rule nary_cong :premises (@p30 @p24) :args (@t40)) % 0.37/0.56 (step @p32 :rule cong :premises (@p31) :args ((forall @t8 @t40))) % 0.37/0.56 (step @p33 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.56 (step @p34 :rule cong :premises (@p33) :args ((forall @t8 @t6))) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p32)) % 0.37/0.56 (step @p36 :rule bool-double-not-elim :args (@t6)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36) :args (@t41)) % 0.37/0.56 (step @p38 :rule trans :premises (@p37 @p35)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38) :args (@t42)) % 0.37/0.57 (step @p40 :rule exists-elim :args ((= @t9 @t42))) % 0.37/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.57 (step @p42 :rule cong :premises (@p41) :args (@t10)) % 0.37/0.57 (step @p43 :rule trans :premises (@p42 @p18)) % 0.37/0.57 (step @p44 :rule refl :args (@t11)) % 0.37/0.57 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t12)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45) :args (@t14)) % 0.37/0.57 (step @p47 :rule trans :premises (@p46 @p17)) % 0.37/0.57 (step @p48 :rule refl :args (@t45)) % 0.37/0.57 (step @p49 :rule refl :args (@t46)) % 0.37/0.57 (step @p50 :rule refl :args (@t22)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t22 @t46))) % 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 (@t47)) % 0.37/0.57 (step @p55 :rule nary_cong :premises (@p54 @p48) :args (@t48)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55) :args ((forall @t24 @t48))) % 0.37/0.57 (step @p57 :rule bool-impl-elim :args (@t22 @t45)) % 0.37/0.57 (step @p58 :rule cong :premises (@p57) :args ((forall @t24 (=> @t22 @t45)))) % 0.37/0.57 (step @p59 :rule trans :premises (@p58 @p56)) % 0.37/0.57 (step @p60 :rule refl :args (@t43)) % 0.37/0.57 (step @p61 :rule refl :args (@t16)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t16 @t43))) % 0.37/0.57 (step @p63 :rule symm :premises (@p62)) % 0.37/0.57 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.37/0.57 (step @p65 :rule cong :premises (@p64) :args (@t49)) % 0.37/0.57 (step @p66 :rule refl :args (@t44)) % 0.37/0.57 (step @p67 :rule refl :args (@t18)) % 0.37/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t18 @t44))) % 0.37/0.57 (step @p69 :rule symm :premises (@p68)) % 0.37/0.57 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70) :args (@t50)) % 0.37/0.57 (step @p72 :rule nary_cong :premises (@p71 @p65) :args (@t51)) % 0.37/0.57 (step @p73 :rule cong :premises (@p72) :args ((forall @t20 @t51))) % 0.37/0.57 (step @p74 :rule bool-and-de-morgan :args (@t18 @t16 true)) % 0.37/0.57 (step @p75 :rule cong :premises (@p74) :args (@t52)) % 0.37/0.57 (step @p76 :rule trans :premises (@p75 @p73)) % 0.37/0.57 (step @p77 :rule cong :premises (@p76) :args (@t53)) % 0.37/0.57 (step @p78 :rule exists-elim :args ((= @t21 @t53))) % 0.37/0.57 (step @p79 :rule trans :premises (@p78 @p77)) % 0.37/0.57 (step @p80 :rule refl :args (@t22)) % 0.37/0.57 (step @p81 :rule cong :premises (@p80 @p79) :args (@t23)) % 0.37/0.57 (step @p82 :rule cong :premises (@p81) :args (@t25)) % 0.37/0.57 (step @p83 :rule trans :premises (@p82 @p59)) % 0.37/0.57 (step @p84 :rule cong :premises (@p83) :args (@t26)) % 0.37/0.57 (step @p85 :rule cong :premises (@p84 @p47) :args (@t27)) % 0.37/0.57 (step @p86 :rule cong :premises (@p85) :args (@t28)) % 0.37/0.57 (step @p87 :rule eq_resolve :premises (@p1 @p86)) % 0.37/0.57 (step @p88 :rule not_implies_elim1 :premises (@p87)) % 0.37/0.57 (step @p89 :rule alpha_equiv :args (@t54 (@list @t15 @t17) (@list @t1 @t4))) % 0.37/0.57 (step @p90 :rule equiv_elim2 :premises (@p89)) % 0.37/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p88) :args ((not @t55) @t56 (@list @t54))) % 0.37/0.57 (step @p92 :rule not_implies_elim2 :premises (@p87)) % 0.37/0.57 (step @p93 :rule not_not_elim :premises (@p92)) % 0.37/0.57 (step @p94 false :rule chain_m_resolution :premises (@p93 @p91) :args (false @t56 (@list @t55))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------