%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO305^5 : 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 : n013.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 09:12:24 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO305^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 : Wed Jun 3 00:02:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.27/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort $$unsorted 0) % 0.27/0.55 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.27/0.55 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.27/0.55 (define @t1 () (@var "Z3" $$unsorted)) % 0.27/0.55 (define @t2 () (_ tptp.cB @t1)) % 0.27/0.55 (define @t3 () (@var "Z1" (-> $$unsorted Bool))) % 0.27/0.55 (define @t4 () (_ @t3 @t1)) % 0.27/0.55 (define @t5 () (@list @t1)) % 0.27/0.55 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.27/0.55 (define @t7 () (_ tptp.cA @t1)) % 0.27/0.55 (define @t8 () (forall @t5 (=> @t4 @t7))) % 0.27/0.55 (define @t9 () (=> @t8 @t6)) % 0.27/0.55 (define @t10 () (@list @t3)) % 0.27/0.55 (define @t11 () (forall @t10 @t9)) % 0.27/0.55 (define @t12 () (@var "Z1" $$unsorted)) % 0.27/0.55 (define @t13 () (_ tptp.cB @t12)) % 0.27/0.55 (define @t14 () (_ tptp.cA @t12)) % 0.27/0.55 (define @t15 () (@list @t12)) % 0.27/0.55 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.27/0.55 (define @t17 () (=> @t16 @t11)) % 0.27/0.55 (define @t18 () (not @t17)) % 0.27/0.55 (define @t19 () (@var "BOUND_VARIABLE_7456" $$unsorted)) % 0.27/0.55 (define @t20 () (tptp.cB @t19)) % 0.27/0.55 (define @t21 () (not (_ @t3 @t19))) % 0.27/0.55 (define @t22 () (tptp.cA @t1)) % 0.27/0.55 (define @t23 () (_ @t3 @t1)) % 0.27/0.55 (define @t24 () (not @t23)) % 0.27/0.55 (define @t25 () (forall @t5 (or @t24 @t22))) % 0.27/0.55 (define @t26 () (not @t25)) % 0.27/0.55 (define @t27 () (or @t26 @t21 @t20)) % 0.27/0.55 (define @t28 () (or @t21 @t20)) % 0.27/0.55 (define @t29 () (or @t26 @t28)) % 0.27/0.55 (define @t30 () (@list @t3 @t19)) % 0.27/0.55 (define @t31 () (forall @t30 @t29)) % 0.27/0.55 (define @t32 () (@list @t19)) % 0.27/0.55 (define @t33 () (forall @t32 @t29)) % 0.27/0.55 (define @t34 () (forall @t32 @t28)) % 0.27/0.55 (define @t35 () (or @t26 @t34)) % 0.27/0.55 (define @t36 () (tptp.cB @t1)) % 0.27/0.55 (define @t37 () (forall @t5 (or @t24 @t36))) % 0.27/0.55 (define @t38 () (not @t4)) % 0.27/0.55 (define @t39 () (or @t38 @t2)) % 0.27/0.55 (define @t40 () (or @t38 @t7)) % 0.27/0.55 (define @t41 () (tptp.cB @t12)) % 0.27/0.55 (define @t42 () (tptp.cA @t12)) % 0.27/0.55 (define @t43 () (not @t14)) % 0.27/0.55 (define @t44 () (or @t43 @t13)) % 0.27/0.55 (define @t45 () (forall @t30 @t27)) % 0.27/0.55 (define @t46 () (@quantifiers_skolemize @t45 1)) % 0.27/0.55 (define @t47 () (@quantifiers_skolemize @t45 0)) % 0.27/0.55 (define @t48 () (_ @t47 @t46)) % 0.27/0.55 (define @t49 () (tptp.cB @t46)) % 0.27/0.55 (define @t50 () (not @t48)) % 0.27/0.55 (define @t51 () (forall @t5 (or (not (_ @t47 @t1)) @t22))) % 0.27/0.55 (define @t52 () (not @t51)) % 0.27/0.55 (define @t53 () (or @t52 @t50 @t49)) % 0.27/0.55 (define @t54 () (@list true)) % 0.27/0.55 (define @t55 () (@list @t53)) % 0.27/0.55 (define @t56 () (@list @t46)) % 0.27/0.55 (define @t57 () (tptp.cA @t46)) % 0.27/0.55 (define @t58 () (not @t57)) % 0.27/0.55 (define @t59 () (or @t58 @t49)) % 0.27/0.55 (define @t60 () (or @t50 @t57)) % 0.27/0.55 (assume @p1 @t18) % 0.27/0.55 (assume @p2 true) % 0.27/0.55 (step @p3 :rule aci_norm :args ((= @t29 @t27))) % 0.27/0.55 (step @p4 :rule cong :premises (@p3) :args (@t31)) % 0.27/0.55 (step @p5 :rule quant-merge-prenex :args ((= (forall @t10 @t33) @t31))) % 0.27/0.55 (step @p6 :rule alpha_equiv :args (@t34 (@list @t19) (@list @t1))) % 0.27/0.55 (step @p7 :rule refl :args (@t26)) % 0.27/0.55 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t35)) % 0.27/0.55 (step @p9 :rule quant-miniscope-or :args ((= @t33 @t35))) % 0.27/0.55 (step @p10 :rule trans :premises (@p9 @p8)) % 0.27/0.55 (step @p11 :rule symm :premises (@p10)) % 0.27/0.55 (step @p12 :rule cong :premises (@p11) :args ((forall @t10 (or @t26 @t37)))) % 0.27/0.55 (step @p13 :rule trans :premises (@p12 @p5)) % 0.27/0.55 (step @p14 :rule trans :premises (@p13 @p4)) % 0.27/0.55 (step @p15 :rule bool-impl-elim :args (@t25 @t37)) % 0.27/0.55 (step @p16 :rule cong :premises (@p15) :args ((forall @t10 (=> @t25 @t37)))) % 0.27/0.55 (step @p17 :rule trans :premises (@p16 @p14)) % 0.27/0.55 (step @p18 :rule refl :args (@t36)) % 0.27/0.55 (step @p19 :rule refl :args (@t2)) % 0.27/0.55 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t2 @t36))) % 0.27/0.55 (step @p21 :rule symm :premises (@p20)) % 0.27/0.55 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.27/0.55 (step @p23 :rule refl :args (@t23)) % 0.27/0.55 (step @p24 :rule refl :args (@t4)) % 0.27/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t4 @t23))) % 0.27/0.55 (step @p26 :rule symm :premises (@p25)) % 0.27/0.55 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.27/0.55 (step @p28 :rule cong :premises (@p27) :args (@t38)) % 0.27/0.55 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t39)) % 0.27/0.55 (step @p30 :rule cong :premises (@p29) :args ((forall @t5 @t39))) % 0.27/0.55 (step @p31 :rule bool-impl-elim :args (@t4 @t2)) % 0.27/0.55 (step @p32 :rule cong :premises (@p31) :args (@t6)) % 0.27/0.55 (step @p33 :rule trans :premises (@p32 @p30)) % 0.27/0.55 (step @p34 :rule refl :args (@t22)) % 0.27/0.55 (step @p35 :rule refl :args (@t7)) % 0.36/0.55 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t7 @t22))) % 0.36/0.55 (step @p37 :rule symm :premises (@p36)) % 0.36/0.55 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.36/0.55 (step @p39 :rule nary_cong :premises (@p28 @p38) :args (@t40)) % 0.36/0.55 (step @p40 :rule cong :premises (@p39) :args ((forall @t5 @t40))) % 0.36/0.55 (step @p41 :rule bool-impl-elim :args (@t4 @t7)) % 0.36/0.55 (step @p42 :rule cong :premises (@p41) :args (@t8)) % 0.36/0.55 (step @p43 :rule trans :premises (@p42 @p40)) % 0.36/0.55 (step @p44 :rule cong :premises (@p43 @p33) :args (@t9)) % 0.36/0.55 (step @p45 :rule cong :premises (@p44) :args (@t11)) % 0.36/0.55 (step @p46 :rule trans :premises (@p45 @p17)) % 0.36/0.55 (step @p47 :rule refl :args (@t41)) % 0.36/0.55 (step @p48 :rule refl :args (@t13)) % 0.36/0.55 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t13 @t41))) % 0.36/0.55 (step @p50 :rule symm :premises (@p49)) % 0.36/0.55 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.36/0.55 (step @p52 :rule refl :args (@t42)) % 0.36/0.55 (step @p53 :rule refl :args (@t14)) % 0.36/0.55 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t14 @t42))) % 0.36/0.55 (step @p55 :rule symm :premises (@p54)) % 0.36/0.55 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.36/0.55 (step @p57 :rule cong :premises (@p56) :args (@t43)) % 0.36/0.55 (step @p58 :rule nary_cong :premises (@p57 @p51) :args (@t44)) % 0.36/0.55 (step @p59 :rule cong :premises (@p58) :args ((forall @t15 @t44))) % 0.36/0.55 (step @p60 :rule bool-impl-elim :args (@t14 @t13)) % 0.36/0.55 (step @p61 :rule cong :premises (@p60) :args (@t16)) % 0.36/0.55 (step @p62 :rule trans :premises (@p61 @p59)) % 0.36/0.55 (step @p63 :rule cong :premises (@p62 @p46) :args (@t17)) % 0.36/0.55 (step @p64 :rule cong :premises (@p63) :args (@t18)) % 0.36/0.55 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 0.36/0.55 (step @p66 :rule not_implies_elim2 :premises (@p65)) % 0.36/0.55 (step @p67 :rule skolemize :premises (@p66)) % 0.36/0.55 (step @p68 :rule bool-double-not-elim :args (@t48)) % 0.36/0.55 (step @p69 :rule refl :args (@t53)) % 0.36/0.55 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t53 (not @t50)))) % 0.36/0.55 (step @p71 :rule cnf_or_neg :args (@t53 1)) % 0.36/0.55 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.36/0.55 (step @p73 :rule reordering :premises (@p72) :args ((or @t48 @t53))) % 0.36/0.55 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t48 @t54 @t55)) % 0.36/0.55 (step @p75 :rule bool-double-not-elim :args (@t51)) % 0.36/0.55 (step @p76 :rule nary_cong :premises (@p69 @p75) :args ((or @t53 (not @t52)))) % 0.36/0.55 (step @p77 :rule cnf_or_neg :args (@t53 0)) % 0.36/0.55 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.36/0.55 (step @p79 :rule reordering :premises (@p78) :args ((or @t51 @t53))) % 0.36/0.55 (step @p80 :rule chain_m_resolution :premises (@p79 @p67) :args (@t51 @t54 @t55)) % 0.36/0.55 (step @p81 :rule instantiate :premises (@p80) :args (@t56)) % 0.36/0.55 (step @p82 :rule not_implies_elim1 :premises (@p65)) % 0.36/0.55 (step @p83 :rule instantiate :premises (@p82) :args (@t56)) % 0.36/0.55 (step @p84 :rule cnf_or_neg :args (@t53 2)) % 0.36/0.55 (step @p85 :rule chain_m_resolution :premises (@p84 @p67) :args ((not @t49) @t54 @t55)) % 0.36/0.55 (step @p86 :rule cnf_or_pos :args (@t59)) % 0.36/0.55 (step @p87 :rule reordering :premises (@p86) :args ((or @t49 @t58 (not @t59)))) % 0.36/0.55 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p83) :args (@t58 (@list true false) (@list @t49 @t59))) % 0.36/0.55 (step @p89 :rule cnf_or_pos :args (@t60)) % 0.36/0.55 (step @p90 :rule reordering :premises (@p89) :args ((or @t50 @t57 (not @t60)))) % 0.36/0.55 (step @p91 false :rule chain_m_resolution :premises (@p90 @p88 @p81 @p74) :args (false (@list true false false) (@list @t57 @t60 @t48))) % 0.36/0.55 ) % 0.36/0.55 % SZS output end Proof % 0.36/0.55 % cvc5 exiting %------------------------------------------------------------------------------