%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO257^5 : 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 09:12:19 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO257^5 : 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 : n013.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 : Wed Jun 3 00:01:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.37/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.37/0.61 (define @t1 () (@var "Xy" $$unsorted)) % 0.37/0.61 (define @t2 () (_ tptp.h @t1)) % 0.37/0.61 (define @t3 () (_ tptp.g @t2)) % 0.37/0.61 (define @t4 () (_ tptp.cP @t1)) % 0.37/0.61 (define @t5 () (_ @t4 @t3)) % 0.37/0.61 (define @t6 () (@var "Xx" $$unsorted)) % 0.37/0.61 (define @t7 () (_ (_ tptp.cP @t6) @t1)) % 0.37/0.61 (define @t8 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.37/0.61 (define @t9 () (@var "Xz" $$unsorted)) % 0.37/0.61 (define @t10 () (_ (_ tptp.cP @t9) (_ @t8 @t6))) % 0.37/0.61 (define @t11 () (@list @t8 @t9)) % 0.37/0.61 (define @t12 () (forall @t11 (and @t10 @t7))) % 0.37/0.61 (define @t13 () (=> @t12 @t5)) % 0.37/0.61 (define @t14 () (@list @t1)) % 0.37/0.61 (define @t15 () (forall @t14 @t13)) % 0.37/0.61 (define @t16 () (@list @t6)) % 0.37/0.61 (define @t17 () (exists @t16 @t15)) % 0.37/0.61 (define @t18 () (not @t17)) % 0.37/0.61 (define @t19 () (tptp.h @t1)) % 0.37/0.61 (define @t20 () (tptp.g @t19)) % 0.37/0.61 (define @t21 () (tptp.cP @t1 @t20)) % 0.37/0.61 (define @t22 () (@var "BOUND_VARIABLE_7488" $$unsorted)) % 0.37/0.61 (define @t23 () (forall (@list @t22) (not (forall @t14 (or (not (tptp.cP @t22 @t1)) @t21))))) % 0.37/0.61 (define @t24 () (@var "BOUND_VARIABLE_7481" $$unsorted)) % 0.37/0.61 (define @t25 () (@var "BOUND_VARIABLE_7434" (-> $$unsorted $$unsorted))) % 0.37/0.61 (define @t26 () (@var "BOUND_VARIABLE_7436" $$unsorted)) % 0.37/0.61 (define @t27 () (tptp.cP @t26 (_ @t25 @t24))) % 0.37/0.61 (define @t28 () (forall (@list @t24 @t25 @t26) @t27)) % 0.37/0.61 (define @t29 () (@list @t25 @t26)) % 0.37/0.61 (define @t30 () (forall (@list @t24) (forall @t29 @t27))) % 0.37/0.61 (define @t31 () (tptp.cP @t6 @t1)) % 0.37/0.61 (define @t32 () (forall @t14 (or (not @t31) @t21))) % 0.37/0.61 (define @t33 () (not @t32)) % 0.37/0.61 (define @t34 () (forall @t16 @t33)) % 0.37/0.61 (define @t35 () (@list @t6)) % 0.37/0.61 (define @t36 () (_ @t25 @t6)) % 0.37/0.61 (define @t37 () (tptp.cP @t26 @t36)) % 0.37/0.61 (define @t38 () (forall @t29 @t37)) % 0.37/0.61 (define @t39 () (forall @t16 @t38)) % 0.37/0.61 (define @t40 () (and @t39 @t34)) % 0.37/0.61 (define @t41 () (not @t38)) % 0.37/0.61 (define @t42 () (or @t41 @t32)) % 0.37/0.61 (define @t43 () (forall @t16 (not @t42))) % 0.37/0.61 (define @t44 () (not @t43)) % 0.37/0.61 (define @t45 () (not @t7)) % 0.37/0.61 (define @t46 () (or @t45 @t5)) % 0.37/0.61 (define @t47 () (forall @t14 @t46)) % 0.37/0.61 (define @t48 () (or @t41 @t47)) % 0.37/0.61 (define @t49 () (or @t41 @t46)) % 0.37/0.61 (define @t50 () (or @t41 @t45 @t5)) % 0.37/0.61 (define @t51 () (and @t38 @t7)) % 0.37/0.61 (define @t52 () (_ @t25 @t6)) % 0.37/0.61 (define @t53 () (_ tptp.cP @t26)) % 0.37/0.61 (define @t54 () (_ @t53 @t52)) % 0.37/0.61 (define @t55 () (forall @t29 @t54)) % 0.37/0.61 (define @t56 () (forall @t11 @t7)) % 0.37/0.61 (define @t57 () (forall @t11 @t10)) % 0.37/0.61 (define @t58 () (and @t57 @t56)) % 0.37/0.61 (define @t59 () (@const 0 $$unsorted)) % 0.37/0.61 (define @t60 () (@quantifiers_skolemize (forall @t14 (or (not (tptp.cP @t59 @t1)) @t21)) 0)) % 0.37/0.61 (define @t61 () (tptp.h @t60)) % 0.37/0.61 (define @t62 () (tptp.cP @t60 (tptp.g @t61))) % 0.37/0.61 (define @t63 () (or (not (tptp.cP @t59 @t60)) @t62)) % 0.37/0.61 (assume @p1 @t18) % 0.37/0.61 (assume @p2 true) % 0.37/0.61 (step @p3 :rule bool-double-not-elim :args ((and @t28 @t23))) % 0.37/0.61 (step @p4 :rule refl :args (@t23)) % 0.37/0.61 (step @p5 :rule quant-merge-prenex :args ((= @t30 @t28))) % 0.37/0.61 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((and @t30 @t23))) % 0.37/0.61 (step @p7 :rule alpha_equiv :args (@t34 @t35 (@list @t22))) % 0.37/0.61 (step @p8 :rule alpha_equiv :args (@t39 @t35 (@list @t24))) % 0.37/0.61 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t40)) % 0.37/0.61 (step @p10 :rule quant-miniscope-and :args ((= (forall @t16 (and @t38 @t33)) @t40))) % 0.37/0.61 (step @p11 :rule trans :premises (@p10 @p9)) % 0.37/0.61 (step @p12 :rule trans :premises (@p11 @p6)) % 0.37/0.61 (step @p13 :rule refl :args (@t33)) % 0.37/0.61 (step @p14 :rule bool-double-not-elim :args (@t38)) % 0.37/0.61 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((and (not @t41) @t33))) % 0.37/0.61 (step @p16 :rule bool-or-de-morgan :args (@t41 @t32 false)) % 0.37/0.61 (step @p17 :rule trans :premises (@p16 @p15)) % 0.37/0.61 (step @p18 :rule cong :premises (@p17) :args (@t43)) % 0.37/0.61 (step @p19 :rule trans :premises (@p18 @p12)) % 0.37/0.61 (step @p20 :rule cong :premises (@p19) :args (@t44)) % 0.37/0.61 (step @p21 :rule exists-elim :args ((= (exists @t16 @t42) @t44))) % 0.37/0.61 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.61 (step @p23 :rule refl :args ((tptp.cP @t1 @t3))) % 0.37/0.61 (step @p24 :rule refl :args ((tptp.g @t2))) % 0.37/0.61 (step @p25 :rule refl :args (@t19)) % 0.37/0.61 (step @p26 :rule cong :premises (@p25) :args (@t20)) % 0.37/0.61 (step @p27 :rule trans :premises (@p26 @p24)) % 0.37/0.61 (step @p28 :rule refl :args (@t1)) % 0.37/0.61 (step @p29 :rule cong :premises (@p28 @p27) :args (@t21)) % 0.37/0.61 (step @p30 :rule trans :premises (@p29 @p23)) % 0.37/0.61 (step @p31 :rule refl :args (@t4)) % 0.37/0.61 (step @p32 :rule ho_cong :premises (@p31 @p27)) % 0.37/0.61 (step @p33 :rule cong :premises (@p32 @p30) :args ((= (_ @t4 @t20) @t21))) % 0.37/0.61 (step @p34 :rule symm :premises (@p33)) % 0.37/0.61 (step @p35 :rule refl :args (@t5)) % 0.37/0.61 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.37/0.61 (step @p37 :rule refl :args (tptp.g)) % 0.37/0.61 (step @p38 :rule ho_cong :premises (@p37 @p25)) % 0.37/0.61 (step @p39 :rule cong :premises (@p38 @p27) :args ((= (_ tptp.g @t19) @t20))) % 0.37/0.61 (step @p40 :rule symm :premises (@p39)) % 0.37/0.61 (step @p41 :rule refl :args (@t3)) % 0.37/0.61 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.37/0.61 (step @p43 :rule refl :args (@t2)) % 0.37/0.61 (step @p44 :rule cong :premises (@p43 @p25) :args ((= @t2 @t19))) % 0.37/0.61 (step @p45 :rule symm :premises (@p44)) % 0.37/0.61 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.37/0.61 (step @p47 :rule ho_cong :premises (@p37 @p46)) % 0.37/0.61 (step @p48 :rule trans :premises (@p47 @p42)) % 0.37/0.61 (step @p49 :rule ho_cong :premises (@p31 @p48)) % 0.37/0.61 (step @p50 :rule trans :premises (@p49 @p36)) % 0.37/0.61 (step @p51 :rule refl :args (@t31)) % 0.37/0.61 (step @p52 :rule refl :args (@t7)) % 0.37/0.61 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t7 @t31))) % 0.37/0.61 (step @p54 :rule symm :premises (@p53)) % 0.37/0.61 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.37/0.61 (step @p56 :rule cong :premises (@p55) :args (@t45)) % 0.37/0.61 (step @p57 :rule nary_cong :premises (@p56 @p50) :args (@t46)) % 0.37/0.61 (step @p58 :rule cong :premises (@p57) :args (@t47)) % 0.37/0.61 (step @p59 :rule refl :args (@t41)) % 0.37/0.61 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t48)) % 0.37/0.61 (step @p61 :rule quant-miniscope-or :args ((= (forall @t14 @t49) @t48))) % 0.37/0.61 (step @p62 :rule aci_norm :args ((= @t50 @t49))) % 0.37/0.61 (step @p63 :rule cong :premises (@p62) :args ((forall @t14 @t50))) % 0.37/0.61 (step @p64 :rule trans :premises (@p63 @p61)) % 0.37/0.61 (step @p65 :rule trans :premises (@p64 @p60)) % 0.37/0.61 (step @p66 :rule aci_norm :args ((= (or (or @t41 @t45) @t5) @t50))) % 0.37/0.61 (step @p67 :rule bool-and-de-morgan :args (@t38 @t7 true)) % 0.37/0.61 (step @p68 :rule nary_cong :premises (@p67 @p35) :args ((or (not @t51) @t5))) % 0.37/0.61 (step @p69 :rule trans :premises (@p68 @p66)) % 0.37/0.61 (step @p70 :rule bool-impl-elim :args (@t51 @t5)) % 0.37/0.61 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.61 (step @p72 :rule cong :premises (@p71) :args ((forall @t14 (=> @t51 @t5)))) % 0.37/0.61 (step @p73 :rule trans :premises (@p72 @p65)) % 0.37/0.61 (step @p74 :rule refl :args (@t5)) % 0.37/0.61 (step @p75 :rule refl :args (@t7)) % 0.37/0.61 (step @p76 :rule refl :args ((tptp.cP @t26 @t52))) % 0.37/0.61 (step @p77 :rule refl :args (@t36)) % 0.37/0.61 (step @p78 :rule refl :args (@t26)) % 0.37/0.61 (step @p79 :rule cong :premises (@p78 @p77) :args (@t37)) % 0.37/0.61 (step @p80 :rule trans :premises (@p79 @p76)) % 0.37/0.61 (step @p81 :rule refl :args (@t53)) % 0.37/0.61 (step @p82 :rule ho_cong :premises (@p81 @p77)) % 0.37/0.61 (step @p83 :rule cong :premises (@p82 @p80) :args ((= (_ @t53 @t36) @t37))) % 0.37/0.61 (step @p84 :rule symm :premises (@p83)) % 0.37/0.61 (step @p85 :rule refl :args (@t54)) % 0.37/0.61 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.37/0.61 (step @p87 :rule refl :args (@t52)) % 0.37/0.61 (step @p88 :rule cong :premises (@p87 @p77) :args ((= @t52 @t36))) % 0.37/0.61 (step @p89 :rule symm :premises (@p88)) % 0.37/0.61 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.37/0.61 (step @p91 :rule ho_cong :premises (@p81 @p90)) % 0.37/0.61 (step @p92 :rule trans :premises (@p91 @p86)) % 0.37/0.61 (step @p93 :rule cong :premises (@p92) :args (@t55)) % 0.37/0.61 (step @p94 :rule nary_cong :premises (@p93 @p75) :args ((and @t55 @t7))) % 0.37/0.61 (step @p95 :rule quant-unused-vars :args ((= @t56 @t7))) % 0.37/0.61 (step @p96 :rule alpha_equiv :args (@t57 (@list @t8 @t9) (@list @t25 @t26))) % 0.37/0.61 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t58)) % 0.37/0.61 (step @p98 :rule quant-miniscope-and :args ((= @t12 @t58))) % 0.37/0.61 (step @p99 :rule trans :premises (@p98 @p97)) % 0.37/0.61 (step @p100 :rule trans :premises (@p99 @p94)) % 0.37/0.61 (step @p101 :rule cong :premises (@p100 @p74) :args (@t13)) % 0.37/0.61 (step @p102 :rule cong :premises (@p101) :args (@t15)) % 0.37/0.61 (step @p103 :rule trans :premises (@p102 @p73)) % 0.37/0.61 (step @p104 :rule cong :premises (@p103) :args (@t17)) % 0.37/0.61 (step @p105 :rule trans :premises (@p104 @p22)) % 0.37/0.61 (step @p106 :rule cong :premises (@p105) :args (@t18)) % 0.37/0.61 (step @p107 :rule trans :premises (@p106 @p3)) % 0.37/0.61 (step @p108 :rule eq_resolve :premises (@p1 @p107)) % 0.37/0.61 (step @p109 :rule and_elim :premises (@p108) :args (0)) % 0.37/0.61 (step @p110 :rule and_elim :premises (@p108) :args (1)) % 0.37/0.61 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t59))) % 0.37/0.61 (step @p112 :rule skolemize :premises (@p111)) % 0.37/0.61 (step @p113 :rule cnf_or_neg :args (@t63 1)) % 0.37/0.61 (step @p114 :rule chain_m_resolution :premises (@p113 @p112) :args ((not @t62) (@list true) (@list @t63))) % 0.37/0.61 (assume-push @p121 @t28) % 0.37/0.61 (step @p116 :rule instantiate :premises (@p109) :args ((@list @t61 tptp.g @t60))) % 0.37/0.61 (step-pop @p122 :rule scope :premises (@p116)) % 0.37/0.61 (step @p117 :rule process_scope :premises (@p122) :args (@t62)) % 0.37/0.61 (step @p119 :rule implies_elim :premises (@p117)) % 0.37/0.61 (step @p120 false :rule chain_m_resolution :premises (@p119 @p114 @p109) :args (false (@list true false) (@list @t62 @t28))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------