%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO111^5 : 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 : n026.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 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO111^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 23:59:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.cM (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cN (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cG (-> $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "T" $$unsorted)) % 0.30/0.55 (define @t2 () (_ tptp.cG @t1)) % 0.30/0.55 (define @t3 () (@list @t1)) % 0.30/0.55 (define @t4 () (forall @t3 @t2)) % 0.30/0.55 (define @t5 () (not @t4)) % 0.30/0.55 (define @t6 () (@var "Z" $$unsorted)) % 0.30/0.55 (define @t7 () (_ tptp.cN @t6)) % 0.30/0.55 (define @t8 () (not @t7)) % 0.30/0.55 (define @t9 () (or @t8 @t5)) % 0.30/0.55 (define @t10 () (@list @t6)) % 0.30/0.55 (define @t11 () (forall @t10 @t9)) % 0.30/0.55 (define @t12 () (not @t11)) % 0.30/0.55 (define @t13 () (@var "S" $$unsorted)) % 0.30/0.55 (define @t14 () (_ tptp.cN @t13)) % 0.30/0.55 (define @t15 () (@list @t13)) % 0.30/0.55 (define @t16 () (exists @t15 @t14)) % 0.30/0.55 (define @t17 () (@var "Y" $$unsorted)) % 0.30/0.55 (define @t18 () (_ tptp.cM @t17)) % 0.30/0.55 (define @t19 () (or @t18 @t16)) % 0.30/0.55 (define @t20 () (@list @t17)) % 0.30/0.55 (define @t21 () (forall @t20 @t19)) % 0.30/0.55 (define @t22 () (not @t21)) % 0.30/0.55 (define @t23 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t24 () (_ tptp.cG @t23)) % 0.30/0.55 (define @t25 () (not @t24)) % 0.30/0.55 (define @t26 () (@list @t23)) % 0.30/0.55 (define @t27 () (exists @t26 @t25)) % 0.30/0.55 (define @t28 () (@var "R" $$unsorted)) % 0.30/0.55 (define @t29 () (_ tptp.cM @t28)) % 0.30/0.55 (define @t30 () (@list @t28)) % 0.30/0.55 (define @t31 () (forall @t30 @t29)) % 0.30/0.55 (define @t32 () (or @t31 @t27 @t22 @t12)) % 0.30/0.55 (define @t33 () (forall @t10 @t8)) % 0.30/0.55 (define @t34 () (or @t33 @t5)) % 0.30/0.55 (define @t35 () (not @t34)) % 0.30/0.55 (define @t36 () (forall @t20 @t18)) % 0.30/0.55 (define @t37 () (or @t36 @t16)) % 0.30/0.55 (define @t38 () (not @t37)) % 0.30/0.55 (define @t39 () (or @t31 @t27 @t38 @t35)) % 0.30/0.55 (define @t40 () (=> @t39 @t32)) % 0.30/0.55 (define @t41 () (not @t40)) % 0.30/0.55 (define @t42 () (tptp.cN @t6)) % 0.30/0.55 (define @t43 () (tptp.cG @t1)) % 0.30/0.55 (define @t44 () (forall @t3 @t43)) % 0.30/0.55 (define @t45 () (not @t44)) % 0.30/0.55 (define @t46 () (or @t45 @t33)) % 0.30/0.55 (define @t47 () (or @t45 @t8)) % 0.30/0.55 (define @t48 () (or @t8 @t45)) % 0.30/0.55 (define @t49 () (tptp.cM @t17)) % 0.30/0.55 (define @t50 () (tptp.cN @t13)) % 0.30/0.55 (define @t51 () (forall @t15 (not @t50))) % 0.30/0.55 (define @t52 () (not @t51)) % 0.30/0.55 (define @t53 () (or @t52 @t36)) % 0.30/0.55 (define @t54 () (or @t52 @t18)) % 0.30/0.55 (define @t55 () (or @t18 @t52)) % 0.30/0.55 (define @t56 () (not @t14)) % 0.30/0.55 (define @t57 () (forall @t15 @t56)) % 0.30/0.55 (define @t58 () (not @t57)) % 0.30/0.55 (define @t59 () (tptp.cG @t23)) % 0.30/0.55 (define @t60 () (forall @t26 (not @t25))) % 0.30/0.55 (define @t61 () (not @t60)) % 0.30/0.55 (define @t62 () (tptp.cM @t28)) % 0.30/0.55 (define @t63 () (forall @t26 @t59)) % 0.30/0.55 (define @t64 () (forall @t30 @t62)) % 0.30/0.55 (define @t65 () (forall @t20 @t49)) % 0.30/0.55 (define @t66 () (@list true)) % 0.30/0.55 (define @t67 () (forall @t10 (not @t42))) % 0.30/0.55 (assume @p1 @t41) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule refl :args (@t42)) % 0.30/0.55 (step @p4 :rule refl :args (@t7)) % 0.30/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t7 @t42))) % 0.30/0.55 (step @p6 :rule symm :premises (@p5)) % 0.30/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.30/0.55 (step @p8 :rule cong :premises (@p7) :args (@t8)) % 0.30/0.55 (step @p9 :rule cong :premises (@p8) :args (@t33)) % 0.30/0.55 (step @p10 :rule refl :args (@t45)) % 0.30/0.55 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t46)) % 0.30/0.55 (step @p12 :rule quant-miniscope-or :args ((= (forall @t10 @t47) @t46))) % 0.30/0.55 (step @p13 :rule aci_norm :args ((= @t48 @t47))) % 0.30/0.55 (step @p14 :rule cong :premises (@p13) :args ((forall @t10 @t48))) % 0.30/0.55 (step @p15 :rule trans :premises (@p14 @p12)) % 0.30/0.55 (step @p16 :rule trans :premises (@p15 @p11)) % 0.30/0.55 (step @p17 :rule refl :args (@t43)) % 0.30/0.55 (step @p18 :rule refl :args (@t2)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t2 @t43))) % 0.30/0.55 (step @p20 :rule symm :premises (@p19)) % 0.30/0.55 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.30/0.55 (step @p22 :rule cong :premises (@p21) :args (@t4)) % 0.30/0.55 (step @p23 :rule cong :premises (@p22) :args (@t5)) % 0.30/0.55 (step @p24 :rule refl :args (@t8)) % 0.30/0.55 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t9)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 0.30/0.55 (step @p27 :rule trans :premises (@p26 @p16)) % 0.30/0.55 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 0.30/0.55 (step @p29 :rule refl :args (@t49)) % 0.30/0.55 (step @p30 :rule refl :args (@t18)) % 0.30/0.55 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t18 @t49))) % 0.30/0.55 (step @p32 :rule symm :premises (@p31)) % 0.30/0.55 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.30/0.55 (step @p34 :rule cong :premises (@p33) :args (@t36)) % 0.30/0.55 (step @p35 :rule refl :args (@t52)) % 0.30/0.55 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t53)) % 0.30/0.55 (step @p37 :rule quant-miniscope-or :args ((= (forall @t20 @t54) @t53))) % 0.30/0.55 (step @p38 :rule aci_norm :args ((= @t55 @t54))) % 0.30/0.55 (step @p39 :rule cong :premises (@p38) :args ((forall @t20 @t55))) % 0.30/0.55 (step @p40 :rule trans :premises (@p39 @p37)) % 0.30/0.55 (step @p41 :rule trans :premises (@p40 @p36)) % 0.30/0.55 (step @p42 :rule refl :args (@t50)) % 0.30/0.55 (step @p43 :rule refl :args (@t14)) % 0.30/0.55 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t14 @t50))) % 0.30/0.55 (step @p45 :rule symm :premises (@p44)) % 0.30/0.55 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.30/0.55 (step @p47 :rule cong :premises (@p46) :args (@t56)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47) :args (@t57)) % 0.30/0.55 (step @p49 :rule cong :premises (@p48) :args (@t58)) % 0.30/0.55 (step @p50 :rule exists-elim :args ((= @t16 @t58))) % 0.30/0.55 (step @p51 :rule trans :premises (@p50 @p49)) % 0.30/0.55 (step @p52 :rule refl :args (@t18)) % 0.30/0.55 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t19)) % 0.30/0.55 (step @p54 :rule cong :premises (@p53) :args (@t21)) % 0.30/0.55 (step @p55 :rule trans :premises (@p54 @p41)) % 0.30/0.55 (step @p56 :rule cong :premises (@p55) :args (@t22)) % 0.30/0.55 (step @p57 :rule refl :args (@t59)) % 0.30/0.55 (step @p58 :rule refl :args (@t24)) % 0.30/0.55 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t24 @t59))) % 0.30/0.55 (step @p60 :rule symm :premises (@p59)) % 0.30/0.55 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.30/0.55 (step @p62 :rule cong :premises (@p61) :args ((forall @t26 @t24))) % 0.30/0.55 (step @p63 :rule bool-double-not-elim :args (@t24)) % 0.30/0.55 (step @p64 :rule cong :premises (@p63) :args (@t60)) % 0.30/0.55 (step @p65 :rule trans :premises (@p64 @p62)) % 0.30/0.55 (step @p66 :rule cong :premises (@p65) :args (@t61)) % 0.30/0.55 (step @p67 :rule exists-elim :args ((= @t27 @t61))) % 0.30/0.55 (step @p68 :rule trans :premises (@p67 @p66)) % 0.30/0.55 (step @p69 :rule refl :args (@t62)) % 0.30/0.55 (step @p70 :rule refl :args (@t29)) % 0.30/0.55 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t29 @t62))) % 0.30/0.55 (step @p72 :rule symm :premises (@p71)) % 0.30/0.55 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.30/0.55 (step @p74 :rule cong :premises (@p73) :args (@t31)) % 0.30/0.55 (step @p75 :rule nary_cong :premises (@p74 @p68 @p56 @p28) :args (@t32)) % 0.30/0.55 (step @p76 :rule nary_cong :premises (@p9 @p23) :args (@t34)) % 0.30/0.55 (step @p77 :rule cong :premises (@p76) :args (@t35)) % 0.30/0.55 (step @p78 :rule nary_cong :premises (@p34 @p51) :args (@t37)) % 0.30/0.55 (step @p79 :rule cong :premises (@p78) :args (@t38)) % 0.30/0.55 (step @p80 :rule nary_cong :premises (@p74 @p68 @p79 @p77) :args (@t39)) % 0.30/0.55 (step @p81 :rule cong :premises (@p80 @p75) :args (@t40)) % 0.30/0.55 (step @p82 :rule cong :premises (@p81) :args (@t41)) % 0.30/0.55 (step @p83 :rule eq_resolve :premises (@p1 @p82)) % 0.30/0.55 (step @p84 :rule not_implies_elim2 :premises (@p83)) % 0.30/0.55 (step @p85 :rule not_or_elim :premises (@p84) :args (1)) % 0.30/0.55 (step @p86 :rule not_not_elim :premises (@p85)) % 0.30/0.55 (step @p87 :rule alpha_equiv :args (@t63 (@list @t23) (@list @t1))) % 0.30/0.55 (step @p88 :rule equiv_elim1 :premises (@p87)) % 0.30/0.55 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t44 (@list false) (@list @t63))) % 0.30/0.55 (step @p90 :rule not_or_elim :premises (@p84) :args (0)) % 0.30/0.55 (step @p91 :rule alpha_equiv :args (@t64 (@list @t28) (@list @t17))) % 0.30/0.55 (step @p92 :rule equiv_elim2 :premises (@p91)) % 0.30/0.55 (step @p93 :rule chain_m_resolution :premises (@p92 @p90) :args ((not @t65) @t66 (@list @t64))) % 0.30/0.55 (step @p94 :rule not_or_elim :premises (@p84) :args (2)) % 0.30/0.55 (step @p95 :rule not_not_elim :premises (@p94)) % 0.30/0.55 (step @p96 :rule reordering :premises (@p95) :args ((or @t65 @t52))) % 0.30/0.55 (step @p97 :rule chain_m_resolution :premises (@p96 @p93) :args (@t52 @t66 (@list @t65))) % 0.30/0.55 (step @p98 :rule alpha_equiv :args (@t51 (@list @t13) (@list @t6))) % 0.30/0.55 (step @p99 :rule equiv_elim2 :premises (@p98)) % 0.30/0.55 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args ((not @t67) @t66 (@list @t51))) % 0.30/0.55 (step @p101 :rule not_or_elim :premises (@p84) :args (3)) % 0.30/0.55 (step @p102 :rule not_not_elim :premises (@p101)) % 0.30/0.55 (step @p103 :rule reordering :premises (@p102) :args ((or @t67 @t45))) % 0.30/0.55 (step @p104 false :rule chain_m_resolution :premises (@p103 @p100 @p89) :args (false (@list true false) (@list @t67 @t44))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------