%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO307^5 : 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 : n025.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 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO307^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n025.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:03:16 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.q (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.cT (-> $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "Xz" $$unsorted)) % 0.38/0.60 (define @t2 () (_ tptp.cT @t1)) % 0.38/0.60 (define @t3 () (@var "Xx" $$unsorted)) % 0.38/0.60 (define @t4 () (_ tptp.q @t3)) % 0.38/0.60 (define @t5 () (and @t4 @t2)) % 0.38/0.60 (define @t6 () (@var "Xy" $$unsorted)) % 0.38/0.60 (define @t7 () (_ tptp.cR @t6)) % 0.38/0.60 (define @t8 () (_ tptp.p @t3)) % 0.38/0.60 (define @t9 () (and @t8 @t7)) % 0.38/0.60 (define @t10 () (or @t9 @t5)) % 0.38/0.60 (define @t11 () (@var "A" (-> $$unsorted Bool))) % 0.38/0.60 (define @t12 () (_ @t11 @t1)) % 0.38/0.60 (define @t13 () (_ @t11 @t6)) % 0.38/0.60 (define @t14 () (and @t13 @t12)) % 0.38/0.60 (define @t15 () (_ @t11 @t3)) % 0.38/0.60 (define @t16 () (or @t15 @t14)) % 0.38/0.60 (define @t17 () (@list @t3 @t6 @t1)) % 0.38/0.60 (define @t18 () (forall @t17 (=> @t16 @t10))) % 0.38/0.60 (define @t19 () (@list @t11)) % 0.38/0.60 (define @t20 () (exists @t19 @t18)) % 0.38/0.60 (define @t21 () (not @t20)) % 0.38/0.60 (define @t22 () (tptp.cT @t1)) % 0.38/0.60 (define @t23 () (tptp.q @t3)) % 0.38/0.60 (define @t24 () (and @t23 @t22)) % 0.38/0.60 (define @t25 () (tptp.cR @t6)) % 0.38/0.60 (define @t26 () (tptp.p @t3)) % 0.38/0.60 (define @t27 () (and @t26 @t25)) % 0.38/0.60 (define @t28 () (_ @t11 @t1)) % 0.38/0.60 (define @t29 () (_ @t11 @t6)) % 0.38/0.60 (define @t30 () (_ @t11 @t3)) % 0.38/0.60 (define @t31 () (forall @t17 (or (and (not @t30) (or (not @t29) (not @t28))) @t27 @t24))) % 0.38/0.60 (define @t32 () (forall @t19 (not @t31))) % 0.38/0.60 (define @t33 () (not @t12)) % 0.38/0.60 (define @t34 () (not @t13)) % 0.38/0.60 (define @t35 () (or @t34 @t33)) % 0.38/0.60 (define @t36 () (not @t15)) % 0.38/0.60 (define @t37 () (and @t36 @t35)) % 0.38/0.60 (define @t38 () (or @t37 @t9 @t5)) % 0.38/0.60 (define @t39 () (lambda (@list (@var "BOUND_VARIABLE_14596" $$unsorted)) false)) % 0.38/0.60 (define @t40 () (_ @t39 @t1)) % 0.38/0.60 (define @t41 () (not @t40)) % 0.38/0.60 (define @t42 () (_ @t39 @t6)) % 0.38/0.60 (define @t43 () (not @t42)) % 0.38/0.60 (define @t44 () (or @t43 @t41)) % 0.38/0.60 (define @t45 () (_ @t39 @t3)) % 0.38/0.60 (define @t46 () (not @t45)) % 0.38/0.60 (define @t47 () (and @t46 @t44)) % 0.38/0.60 (define @t48 () (or @t47 @t27 @t24)) % 0.38/0.60 (define @t49 () (forall @t17 @t48)) % 0.38/0.60 (define @t50 () (not @t49)) % 0.38/0.60 (assume @p1 @t21) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule bool-double-not-elim :args (@t32)) % 0.38/0.60 (step @p4 :rule exists-elim :args ((= (exists @t19 @t31) (not @t32)))) % 0.38/0.60 (step @p5 :rule refl :args (@t22)) % 0.38/0.60 (step @p6 :rule refl :args (@t2)) % 0.38/0.60 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t2 @t22))) % 0.38/0.60 (step @p8 :rule symm :premises (@p7)) % 0.38/0.60 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.38/0.60 (step @p10 :rule refl :args (@t23)) % 0.38/0.60 (step @p11 :rule refl :args (@t4)) % 0.38/0.60 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t4 @t23))) % 0.38/0.60 (step @p13 :rule symm :premises (@p12)) % 0.38/0.60 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.38/0.60 (step @p15 :rule nary_cong :premises (@p14 @p9) :args (@t5)) % 0.38/0.60 (step @p16 :rule refl :args (@t25)) % 0.38/0.60 (step @p17 :rule refl :args (@t7)) % 0.38/0.60 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t7 @t25))) % 0.38/0.60 (step @p19 :rule symm :premises (@p18)) % 0.38/0.60 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.38/0.60 (step @p21 :rule refl :args (@t26)) % 0.38/0.60 (step @p22 :rule refl :args (@t8)) % 0.38/0.60 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t8 @t26))) % 0.38/0.60 (step @p24 :rule symm :premises (@p23)) % 0.38/0.60 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.38/0.60 (step @p26 :rule nary_cong :premises (@p25 @p20) :args (@t9)) % 0.38/0.60 (step @p27 :rule refl :args (@t28)) % 0.38/0.60 (step @p28 :rule refl :args (@t12)) % 0.38/0.60 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t12 @t28))) % 0.38/0.60 (step @p30 :rule symm :premises (@p29)) % 0.38/0.60 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.38/0.60 (step @p32 :rule cong :premises (@p31) :args (@t33)) % 0.38/0.60 (step @p33 :rule refl :args (@t29)) % 0.38/0.60 (step @p34 :rule refl :args (@t13)) % 0.38/0.60 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t13 @t29))) % 0.38/0.60 (step @p36 :rule symm :premises (@p35)) % 0.38/0.60 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.38/0.60 (step @p38 :rule cong :premises (@p37) :args (@t34)) % 0.38/0.60 (step @p39 :rule nary_cong :premises (@p38 @p32) :args (@t35)) % 0.38/0.60 (step @p40 :rule refl :args (@t30)) % 0.38/0.60 (step @p41 :rule refl :args (@t15)) % 0.38/0.60 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t15 @t30))) % 0.38/0.60 (step @p43 :rule symm :premises (@p42)) % 0.38/0.60 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.38/0.60 (step @p45 :rule cong :premises (@p44) :args (@t36)) % 0.38/0.60 (step @p46 :rule nary_cong :premises (@p45 @p39) :args (@t37)) % 0.38/0.60 (step @p47 :rule nary_cong :premises (@p46 @p26 @p15) :args (@t38)) % 0.38/0.60 (step @p48 :rule cong :premises (@p47) :args ((forall @t17 @t38))) % 0.38/0.60 (step @p49 :rule aci_norm :args ((= (or @t37 @t10) @t38))) % 0.38/0.60 (step @p50 :rule refl :args (@t10)) % 0.38/0.60 (step @p51 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.38/0.60 (step @p52 :rule refl :args (@t36)) % 0.38/0.60 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((and @t36 (not @t14)))) % 0.38/0.60 (step @p54 :rule bool-or-de-morgan :args (@t15 @t14 false)) % 0.38/0.60 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.60 (step @p56 :rule nary_cong :premises (@p55 @p50) :args ((or (not @t16) @t10))) % 0.38/0.60 (step @p57 :rule trans :premises (@p56 @p49)) % 0.38/0.60 (step @p58 :rule bool-impl-elim :args (@t16 @t10)) % 0.38/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.60 (step @p60 :rule cong :premises (@p59) :args (@t18)) % 0.38/0.60 (step @p61 :rule trans :premises (@p60 @p48)) % 0.38/0.60 (step @p62 :rule cong :premises (@p61) :args (@t20)) % 0.38/0.60 (step @p63 :rule trans :premises (@p62 @p4)) % 0.38/0.60 (step @p64 :rule cong :premises (@p63) :args (@t21)) % 0.38/0.60 (step @p65 :rule trans :premises (@p64 @p3)) % 0.38/0.60 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.38/0.60 (step @p67 :rule bool-impl-false1 :args (@t32)) % 0.38/0.60 (step @p68 :rule evaluate :args ((not true))) % 0.38/0.60 (step @p69 :rule quant-unused-vars :args ((= (forall @t17 true) true))) % 0.38/0.60 (step @p70 :rule absorb :args ((= (or true @t27 @t24) true))) % 0.38/0.60 (step @p71 :rule refl :args (@t24)) % 0.38/0.60 (step @p72 :rule refl :args (@t27)) % 0.38/0.60 (step @p73 :rule evaluate :args ((and true true))) % 0.38/0.60 (step @p74 :rule evaluate :args ((or true true))) % 0.38/0.60 (step @p75 :rule evaluate :args ((not false))) % 0.38/0.60 (step @p76 :rule beta-reduce :args ((= @t40 false))) % 0.38/0.60 (step @p77 :rule cong :premises (@p76) :args (@t41)) % 0.38/0.60 (step @p78 :rule trans :premises (@p77 @p75)) % 0.38/0.60 (step @p79 :rule beta-reduce :args ((= @t42 false))) % 0.38/0.60 (step @p80 :rule cong :premises (@p79) :args (@t43)) % 0.38/0.60 (step @p81 :rule trans :premises (@p80 @p75)) % 0.38/0.60 (step @p82 :rule nary_cong :premises (@p81 @p78) :args (@t44)) % 0.38/0.60 (step @p83 :rule trans :premises (@p82 @p74)) % 0.38/0.60 (step @p84 :rule beta-reduce :args ((= @t45 false))) % 0.38/0.60 (step @p85 :rule cong :premises (@p84) :args (@t46)) % 0.38/0.60 (step @p86 :rule trans :premises (@p85 @p75)) % 0.38/0.60 (step @p87 :rule nary_cong :premises (@p86 @p83) :args (@t47)) % 0.38/0.60 (step @p88 :rule trans :premises (@p87 @p73)) % 0.38/0.60 (step @p89 :rule nary_cong :premises (@p88 @p72 @p71) :args (@t48)) % 0.38/0.60 (step @p90 :rule trans :premises (@p89 @p70)) % 0.38/0.60 (step @p91 :rule cong :premises (@p90) :args (@t49)) % 0.38/0.60 (step @p92 :rule trans :premises (@p91 @p69)) % 0.38/0.60 (step @p93 :rule cong :premises (@p92) :args (@t50)) % 0.38/0.60 (step @p94 :rule trans :premises (@p93 @p68)) % 0.38/0.60 (step @p95 :rule refl :args (@t32)) % 0.38/0.60 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t32 @t50))) % 0.38/0.60 (step @p97 :rule trans :premises (@p96 @p67)) % 0.38/0.60 (assume-push @p104 @t32) % 0.38/0.60 (step @p99 :rule instantiate :premises (@p66) :args ((@list @t39))) % 0.38/0.60 (step-pop @p105 :rule scope :premises (@p99)) % 0.38/0.60 (step @p100 :rule process_scope :premises (@p105) :args (@t50)) % 0.38/0.60 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.38/0.60 (step @p103 false :rule chain_m_resolution :premises (@p102 @p66) :args (false (@list false) (@list @t32))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------