%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO270^5 : 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 : 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 09:12:20 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO270^5 : 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 % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:01:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.44/0.63 (define @t1 () (@var "Xy" $$unsorted)) % 0.44/0.63 (define @t2 () (_ tptp.h @t1)) % 0.44/0.63 (define @t3 () (_ tptp.g @t2)) % 0.44/0.63 (define @t4 () (_ tptp.cP @t1)) % 0.44/0.63 (define @t5 () (_ @t4 @t3)) % 0.44/0.63 (define @t6 () (@var "Xx" $$unsorted)) % 0.44/0.63 (define @t7 () (_ (_ tptp.cP @t6) @t1)) % 0.44/0.63 (define @t8 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.44/0.63 (define @t9 () (_ @t8 @t6)) % 0.44/0.63 (define @t10 () (@var "Xz" $$unsorted)) % 0.44/0.63 (define @t11 () (_ tptp.cP @t10)) % 0.44/0.63 (define @t12 () (_ @t11 @t9)) % 0.44/0.63 (define @t13 () (@list @t10)) % 0.44/0.63 (define @t14 () (forall @t13 @t12)) % 0.44/0.63 (define @t15 () (and @t14 @t7)) % 0.44/0.63 (define @t16 () (=> @t15 @t5)) % 0.44/0.63 (define @t17 () (@list @t1)) % 0.44/0.63 (define @t18 () (forall @t17 @t16)) % 0.44/0.63 (define @t19 () (@list @t6 @t8)) % 0.44/0.63 (define @t20 () (exists @t19 @t18)) % 0.44/0.63 (define @t21 () (not @t20)) % 0.44/0.63 (define @t22 () (tptp.h @t1)) % 0.44/0.63 (define @t23 () (tptp.g @t22)) % 0.44/0.63 (define @t24 () (tptp.cP @t1 @t23)) % 0.44/0.63 (define @t25 () (@var "BOUND_VARIABLE_7476" $$unsorted)) % 0.44/0.63 (define @t26 () (not (forall @t17 (or (not (tptp.cP @t25 @t1)) @t24)))) % 0.44/0.63 (define @t27 () (forall (@list @t25) @t26)) % 0.44/0.63 (define @t28 () (@var "BOUND_VARIABLE_7467" $$unsorted)) % 0.44/0.63 (define @t29 () (@var "BOUND_VARIABLE_7469" (-> $$unsorted $$unsorted))) % 0.44/0.63 (define @t30 () (tptp.cP @t10 (_ @t29 @t28))) % 0.44/0.63 (define @t31 () (forall (@list @t28 @t29 @t10) @t30)) % 0.44/0.63 (define @t32 () (@var "BOUND_VARIABLE_7478" (-> $$unsorted $$unsorted))) % 0.44/0.63 (define @t33 () (forall (@list @t25 @t32) @t26)) % 0.44/0.63 (define @t34 () (forall (@list @t28 @t29) (forall @t13 @t30))) % 0.44/0.63 (define @t35 () (tptp.cP @t6 @t1)) % 0.44/0.63 (define @t36 () (forall @t17 (or (not @t35) @t24))) % 0.44/0.63 (define @t37 () (not @t36)) % 0.44/0.63 (define @t38 () (forall @t19 @t37)) % 0.44/0.63 (define @t39 () (@list @t6 @t8)) % 0.44/0.63 (define @t40 () (_ @t8 @t6)) % 0.44/0.63 (define @t41 () (tptp.cP @t10 @t40)) % 0.44/0.63 (define @t42 () (forall @t13 @t41)) % 0.44/0.63 (define @t43 () (forall @t19 @t42)) % 0.44/0.63 (define @t44 () (and @t43 @t38)) % 0.44/0.63 (define @t45 () (not @t42)) % 0.44/0.63 (define @t46 () (or @t45 @t36)) % 0.44/0.63 (define @t47 () (forall @t19 (not @t46))) % 0.44/0.63 (define @t48 () (not @t47)) % 0.44/0.63 (define @t49 () (not @t7)) % 0.44/0.63 (define @t50 () (or @t49 @t5)) % 0.44/0.63 (define @t51 () (forall @t17 @t50)) % 0.44/0.63 (define @t52 () (or @t45 @t51)) % 0.44/0.63 (define @t53 () (or @t45 @t50)) % 0.44/0.63 (define @t54 () (or @t45 @t49 @t5)) % 0.44/0.63 (define @t55 () (and @t42 @t7)) % 0.44/0.63 (define @t56 () (@const 0 $$unsorted)) % 0.44/0.63 (define @t57 () (@quantifiers_skolemize (forall @t17 (or (not (tptp.cP @t56 @t1)) @t24)) 0)) % 0.44/0.63 (define @t58 () (tptp.h @t57)) % 0.44/0.63 (define @t59 () (tptp.cP @t57 (tptp.g @t58))) % 0.44/0.63 (define @t60 () (or (not (tptp.cP @t56 @t57)) @t59)) % 0.44/0.63 (assume @p1 @t21) % 0.44/0.63 (assume @p2 true) % 0.44/0.63 (step @p3 :rule bool-double-not-elim :args ((and @t31 @t27))) % 0.44/0.63 (step @p4 :rule quant-unused-vars :args ((= @t33 @t27))) % 0.44/0.63 (step @p5 :rule quant-merge-prenex :args ((= @t34 @t31))) % 0.44/0.63 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((and @t34 @t33))) % 0.44/0.63 (step @p7 :rule alpha_equiv :args (@t38 @t39 (@list @t25 @t32))) % 0.44/0.63 (step @p8 :rule alpha_equiv :args (@t43 @t39 (@list @t28 @t29))) % 0.44/0.63 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t44)) % 0.44/0.63 (step @p10 :rule quant-miniscope-and :args ((= (forall @t19 (and @t42 @t37)) @t44))) % 0.44/0.63 (step @p11 :rule trans :premises (@p10 @p9)) % 0.44/0.63 (step @p12 :rule trans :premises (@p11 @p6)) % 0.44/0.63 (step @p13 :rule refl :args (@t37)) % 0.44/0.63 (step @p14 :rule bool-double-not-elim :args (@t42)) % 0.44/0.63 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((and (not @t45) @t37))) % 0.44/0.63 (step @p16 :rule bool-or-de-morgan :args (@t45 @t36 false)) % 0.44/0.63 (step @p17 :rule trans :premises (@p16 @p15)) % 0.44/0.63 (step @p18 :rule cong :premises (@p17) :args (@t47)) % 0.44/0.63 (step @p19 :rule trans :premises (@p18 @p12)) % 0.44/0.63 (step @p20 :rule cong :premises (@p19) :args (@t48)) % 0.44/0.63 (step @p21 :rule exists-elim :args ((= (exists @t19 @t46) @t48))) % 0.44/0.63 (step @p22 :rule trans :premises (@p21 @p20)) % 0.44/0.63 (step @p23 :rule refl :args ((tptp.cP @t1 @t3))) % 0.44/0.63 (step @p24 :rule refl :args ((tptp.g @t2))) % 0.44/0.63 (step @p25 :rule refl :args (@t22)) % 0.44/0.63 (step @p26 :rule cong :premises (@p25) :args (@t23)) % 0.44/0.63 (step @p27 :rule trans :premises (@p26 @p24)) % 0.44/0.63 (step @p28 :rule refl :args (@t1)) % 0.44/0.63 (step @p29 :rule cong :premises (@p28 @p27) :args (@t24)) % 0.44/0.63 (step @p30 :rule trans :premises (@p29 @p23)) % 0.44/0.63 (step @p31 :rule refl :args (@t4)) % 0.44/0.63 (step @p32 :rule ho_cong :premises (@p31 @p27)) % 0.44/0.63 (step @p33 :rule cong :premises (@p32 @p30) :args ((= (_ @t4 @t23) @t24))) % 0.44/0.63 (step @p34 :rule symm :premises (@p33)) % 0.44/0.63 (step @p35 :rule refl :args (@t5)) % 0.44/0.63 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.44/0.63 (step @p37 :rule refl :args (tptp.g)) % 0.44/0.63 (step @p38 :rule ho_cong :premises (@p37 @p25)) % 0.44/0.63 (step @p39 :rule cong :premises (@p38 @p27) :args ((= (_ tptp.g @t22) @t23))) % 0.44/0.63 (step @p40 :rule symm :premises (@p39)) % 0.44/0.63 (step @p41 :rule refl :args (@t3)) % 0.44/0.63 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.44/0.63 (step @p43 :rule refl :args (@t2)) % 0.44/0.63 (step @p44 :rule cong :premises (@p43 @p25) :args ((= @t2 @t22))) % 0.44/0.63 (step @p45 :rule symm :premises (@p44)) % 0.44/0.63 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.44/0.63 (step @p47 :rule ho_cong :premises (@p37 @p46)) % 0.44/0.63 (step @p48 :rule trans :premises (@p47 @p42)) % 0.44/0.63 (step @p49 :rule ho_cong :premises (@p31 @p48)) % 0.44/0.63 (step @p50 :rule trans :premises (@p49 @p36)) % 0.44/0.63 (step @p51 :rule refl :args (@t35)) % 0.44/0.63 (step @p52 :rule refl :args (@t7)) % 0.44/0.63 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t7 @t35))) % 0.44/0.63 (step @p54 :rule symm :premises (@p53)) % 0.44/0.63 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.44/0.63 (step @p56 :rule cong :premises (@p55) :args (@t49)) % 0.44/0.63 (step @p57 :rule nary_cong :premises (@p56 @p50) :args (@t50)) % 0.44/0.63 (step @p58 :rule cong :premises (@p57) :args (@t51)) % 0.44/0.63 (step @p59 :rule refl :args (@t45)) % 0.44/0.63 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t52)) % 0.44/0.63 (step @p61 :rule quant-miniscope-or :args ((= (forall @t17 @t53) @t52))) % 0.44/0.63 (step @p62 :rule aci_norm :args ((= @t54 @t53))) % 0.44/0.63 (step @p63 :rule cong :premises (@p62) :args ((forall @t17 @t54))) % 0.44/0.63 (step @p64 :rule trans :premises (@p63 @p61)) % 0.44/0.63 (step @p65 :rule trans :premises (@p64 @p60)) % 0.44/0.63 (step @p66 :rule aci_norm :args ((= (or (or @t45 @t49) @t5) @t54))) % 0.44/0.63 (step @p67 :rule bool-and-de-morgan :args (@t42 @t7 true)) % 0.44/0.63 (step @p68 :rule nary_cong :premises (@p67 @p35) :args ((or (not @t55) @t5))) % 0.44/0.63 (step @p69 :rule trans :premises (@p68 @p66)) % 0.44/0.63 (step @p70 :rule bool-impl-elim :args (@t55 @t5)) % 0.44/0.63 (step @p71 :rule trans :premises (@p70 @p69)) % 0.44/0.63 (step @p72 :rule cong :premises (@p71) :args ((forall @t17 (=> @t55 @t5)))) % 0.44/0.63 (step @p73 :rule trans :premises (@p72 @p65)) % 0.44/0.63 (step @p74 :rule refl :args (@t5)) % 0.44/0.63 (step @p75 :rule refl :args (@t7)) % 0.44/0.63 (step @p76 :rule refl :args ((tptp.cP @t10 @t9))) % 0.44/0.63 (step @p77 :rule refl :args (@t40)) % 0.44/0.63 (step @p78 :rule refl :args (@t10)) % 0.44/0.63 (step @p79 :rule cong :premises (@p78 @p77) :args (@t41)) % 0.44/0.63 (step @p80 :rule trans :premises (@p79 @p76)) % 0.44/0.63 (step @p81 :rule refl :args (@t11)) % 0.44/0.63 (step @p82 :rule ho_cong :premises (@p81 @p77)) % 0.44/0.63 (step @p83 :rule cong :premises (@p82 @p80) :args ((= (_ @t11 @t40) @t41))) % 0.44/0.63 (step @p84 :rule symm :premises (@p83)) % 0.44/0.63 (step @p85 :rule refl :args (@t12)) % 0.44/0.63 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.44/0.63 (step @p87 :rule refl :args (@t9)) % 0.44/0.63 (step @p88 :rule cong :premises (@p87 @p77) :args ((= @t9 @t40))) % 0.44/0.63 (step @p89 :rule symm :premises (@p88)) % 0.44/0.63 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.44/0.63 (step @p91 :rule ho_cong :premises (@p81 @p90)) % 0.44/0.63 (step @p92 :rule trans :premises (@p91 @p86)) % 0.44/0.63 (step @p93 :rule cong :premises (@p92) :args (@t14)) % 0.44/0.63 (step @p94 :rule nary_cong :premises (@p93 @p75) :args (@t15)) % 0.44/0.63 (step @p95 :rule cong :premises (@p94 @p74) :args (@t16)) % 0.44/0.63 (step @p96 :rule cong :premises (@p95) :args (@t18)) % 0.44/0.63 (step @p97 :rule trans :premises (@p96 @p73)) % 0.44/0.63 (step @p98 :rule cong :premises (@p97) :args (@t20)) % 0.44/0.63 (step @p99 :rule trans :premises (@p98 @p22)) % 0.44/0.63 (step @p100 :rule cong :premises (@p99) :args (@t21)) % 0.44/0.63 (step @p101 :rule trans :premises (@p100 @p3)) % 0.44/0.63 (step @p102 :rule eq_resolve :premises (@p1 @p101)) % 0.44/0.63 (step @p103 :rule and_elim :premises (@p102) :args (0)) % 0.44/0.63 (step @p104 :rule and_elim :premises (@p102) :args (1)) % 0.44/0.63 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t56))) % 0.44/0.63 (step @p106 :rule skolemize :premises (@p105)) % 0.44/0.63 (step @p107 :rule cnf_or_neg :args (@t60 1)) % 0.44/0.63 (step @p108 :rule chain_m_resolution :premises (@p107 @p106) :args ((not @t59) (@list true) (@list @t60))) % 0.44/0.63 (assume-push @p115 @t31) % 0.44/0.63 (step @p110 :rule instantiate :premises (@p103) :args ((@list @t58 tptp.g @t57))) % 0.44/0.63 (step-pop @p116 :rule scope :premises (@p110)) % 0.44/0.63 (step @p111 :rule process_scope :premises (@p116) :args (@t59)) % 0.44/0.63 (step @p113 :rule implies_elim :premises (@p111)) % 0.44/0.63 (step @p114 false :rule chain_m_resolution :premises (@p113 @p108 @p103) :args (false (@list true false) (@list @t59 @t31))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------