%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV056^5 : 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 : n024.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 08:55:23 AM UTC 2026 % Result : Theorem 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV056^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 13:10:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TH0 % 0.16/0.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.37 % SZS status Theorem % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort tptp.a 0) % 0.16/0.37 (define @t1 () (@var "Xz" tptp.a)) % 0.16/0.37 (define @t2 () (@var "Xx" tptp.a)) % 0.16/0.37 (define @t3 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 0.16/0.37 (define @t4 () (_ @t3 @t2)) % 0.16/0.37 (define @t5 () (_ @t4 @t1)) % 0.16/0.37 (define @t6 () (@var "Xy" tptp.a)) % 0.16/0.37 (define @t7 () (_ (_ @t3 @t6) @t1)) % 0.16/0.37 (define @t8 () (_ @t4 @t6)) % 0.16/0.37 (define @t9 () (and @t8 @t7)) % 0.16/0.37 (define @t10 () (@list @t2 @t6 @t1)) % 0.16/0.37 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.16/0.37 (define @t12 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 0.16/0.37 (define @t13 () (_ (_ @t12 @t2) @t6)) % 0.16/0.37 (define @t14 () (@list @t2 @t6)) % 0.16/0.37 (define @t15 () (forall @t14 (=> @t13 @t8))) % 0.16/0.37 (define @t16 () (and @t15 @t11)) % 0.16/0.37 (define @t17 () (@list @t3)) % 0.16/0.37 (define @t18 () (exists @t17 @t16)) % 0.16/0.37 (define @t19 () (@list @t12)) % 0.16/0.37 (define @t20 () (forall @t19 @t18)) % 0.16/0.37 (define @t21 () (not @t20)) % 0.16/0.37 (define @t22 () (_ @t3 @t2 @t6)) % 0.16/0.37 (define @t23 () (_ @t12 @t2 @t6)) % 0.16/0.38 (define @t24 () (forall @t14 (or (not @t23) @t22))) % 0.16/0.38 (define @t25 () (_ @t3 @t2 @t1)) % 0.16/0.38 (define @t26 () (_ @t3 @t6 @t1)) % 0.16/0.38 (define @t27 () (forall @t10 (or (not @t22) (not @t26) @t25))) % 0.16/0.38 (define @t28 () (and @t24 @t27)) % 0.16/0.38 (define @t29 () (forall @t17 (not @t28))) % 0.16/0.38 (define @t30 () (not @t29)) % 0.16/0.38 (define @t31 () (not @t7)) % 0.16/0.38 (define @t32 () (not @t8)) % 0.16/0.38 (define @t33 () (or @t32 @t31 @t5)) % 0.16/0.38 (define @t34 () (not @t13)) % 0.16/0.38 (define @t35 () (or @t34 @t8)) % 0.16/0.38 (define @t36 () (not @t27)) % 0.16/0.38 (define @t37 () (forall @t19 (not (forall @t17 (or (not @t24) @t36))))) % 0.16/0.38 (define @t38 () (not (_ (@quantifiers_skolemize @t37 0) @t2 @t6))) % 0.16/0.38 (define @t39 () (forall @t17 (or (not (forall @t14 (or @t38 @t22))) @t36))) % 0.16/0.38 (define @t40 () (not @t37)) % 0.16/0.38 (define @t41 () (not (not @t39))) % 0.16/0.38 (define @t42 () (lambda (@list (@var "BOUND_VARIABLE_14604" tptp.a) (@var "BOUND_VARIABLE_14605" tptp.a)) true)) % 0.16/0.38 (define @t43 () (_ @t42 @t2 @t1)) % 0.16/0.38 (define @t44 () (_ @t42 @t6 @t1)) % 0.16/0.38 (define @t45 () (not @t44)) % 0.16/0.38 (define @t46 () (_ @t42 @t2 @t6)) % 0.16/0.38 (define @t47 () (not @t46)) % 0.16/0.38 (define @t48 () (or @t47 @t45 @t43)) % 0.16/0.38 (define @t49 () (forall @t10 @t48)) % 0.16/0.38 (define @t50 () (not @t49)) % 0.16/0.38 (define @t51 () (or @t38 @t46)) % 0.16/0.38 (define @t52 () (forall @t14 @t51)) % 0.16/0.38 (define @t53 () (not @t52)) % 0.16/0.38 (define @t54 () (or @t53 @t50)) % 0.16/0.38 (assume @p1 @t21) % 0.16/0.38 (assume @p2 true) % 0.16/0.38 (step @p3 :rule bool-and-de-morgan :args (@t24 @t27 true)) % 0.16/0.38 (step @p4 :rule cong :premises (@p3) :args (@t29)) % 0.16/0.38 (step @p5 :rule cong :premises (@p4) :args (@t30)) % 0.16/0.38 (step @p6 :rule exists-elim :args ((= (exists @t17 @t28) @t30))) % 0.16/0.38 (step @p7 :rule trans :premises (@p6 @p5)) % 0.16/0.38 (step @p8 :rule refl :args (@t25)) % 0.16/0.38 (step @p9 :rule refl :args (@t5)) % 0.16/0.38 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t25))) % 0.16/0.38 (step @p11 :rule symm :premises (@p10)) % 0.16/0.38 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.16/0.38 (step @p13 :rule refl :args (@t26)) % 0.16/0.38 (step @p14 :rule refl :args (@t7)) % 0.16/0.38 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t7 @t26))) % 0.16/0.38 (step @p16 :rule symm :premises (@p15)) % 0.16/0.38 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.16/0.38 (step @p18 :rule cong :premises (@p17) :args (@t31)) % 0.16/0.38 (step @p19 :rule refl :args (@t22)) % 0.16/0.38 (step @p20 :rule refl :args (@t8)) % 0.16/0.38 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t8 @t22))) % 0.16/0.38 (step @p22 :rule symm :premises (@p21)) % 0.16/0.38 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.16/0.38 (step @p24 :rule cong :premises (@p23) :args (@t32)) % 0.16/0.38 (step @p25 :rule nary_cong :premises (@p24 @p18 @p12) :args (@t33)) % 0.16/0.38 (step @p26 :rule cong :premises (@p25) :args ((forall @t10 @t33))) % 0.16/0.38 (step @p27 :rule aci_norm :args ((= (or (or @t32 @t31) @t5) @t33))) % 0.16/0.38 (step @p28 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.16/0.38 (step @p29 :rule nary_cong :premises (@p28 @p9) :args ((or (not @t9) @t5))) % 0.16/0.38 (step @p30 :rule trans :premises (@p29 @p27)) % 0.16/0.38 (step @p31 :rule bool-impl-elim :args (@t9 @t5)) % 0.16/0.38 (step @p32 :rule trans :premises (@p31 @p30)) % 0.16/0.38 (step @p33 :rule cong :premises (@p32) :args (@t11)) % 0.16/0.38 (step @p34 :rule trans :premises (@p33 @p26)) % 0.16/0.38 (step @p35 :rule refl :args (@t23)) % 0.16/0.38 (step @p36 :rule refl :args (@t13)) % 0.16/0.38 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t13 @t23))) % 0.16/0.38 (step @p38 :rule symm :premises (@p37)) % 0.16/0.38 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.16/0.38 (step @p40 :rule cong :premises (@p39) :args (@t34)) % 0.16/0.38 (step @p41 :rule nary_cong :premises (@p40 @p23) :args (@t35)) % 0.16/0.38 (step @p42 :rule cong :premises (@p41) :args ((forall @t14 @t35))) % 0.16/0.38 (step @p43 :rule bool-impl-elim :args (@t13 @t8)) % 0.16/0.38 (step @p44 :rule cong :premises (@p43) :args (@t15)) % 0.16/0.38 (step @p45 :rule trans :premises (@p44 @p42)) % 0.16/0.38 (step @p46 :rule nary_cong :premises (@p45 @p34) :args (@t16)) % 0.16/0.38 (step @p47 :rule cong :premises (@p46) :args (@t18)) % 0.16/0.38 (step @p48 :rule trans :premises (@p47 @p7)) % 0.16/0.38 (step @p49 :rule cong :premises (@p48) :args (@t20)) % 0.16/0.38 (step @p50 :rule cong :premises (@p49) :args (@t21)) % 0.16/0.38 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 0.16/0.38 (step @p52 :rule refl :args (@t39)) % 0.16/0.38 (step @p53 :rule bool-double-not-elim :args (@t37)) % 0.16/0.38 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t40) @t39))) % 0.16/0.38 (step @p55 :rule bool-double-not-elim :args (@t39)) % 0.16/0.38 (step @p56 :rule refl :args (@t40)) % 0.16/0.38 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t40 @t41))) % 0.16/0.38 (assume-push @p103 @t40) % 0.16/0.38 (step @p59 :rule skolemize :premises (@p51)) % 0.16/0.38 (step-pop @p104 :rule scope :premises (@p59)) % 0.16/0.38 (step @p60 :rule process_scope :premises (@p104) :args (@t41)) % 0.16/0.38 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.16/0.38 (step @p63 :rule implies_elim :premises (@p62)) % 0.16/0.38 (step @p64 :rule eq_resolve :premises (@p63 @p54)) % 0.16/0.38 (step @p65 :rule chain_m_resolution :premises (@p64 @p51) :args (@t39 (@list true) (@list @t37))) % 0.16/0.38 (step @p66 :rule bool-impl-false1 :args (@t39)) % 0.16/0.38 (step @p67 :rule evaluate :args ((or false false))) % 0.16/0.38 (step @p68 :rule evaluate :args ((not true))) % 0.16/0.38 (step @p69 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.16/0.38 (step @p70 :rule evaluate :args ((or false false true))) % 0.16/0.38 (step @p71 :rule beta-reduce :args ((= @t43 true))) % 0.16/0.38 (step @p72 :rule beta-reduce :args ((= @t44 true))) % 0.16/0.38 (step @p73 :rule cong :premises (@p72) :args (@t45)) % 0.16/0.38 (step @p74 :rule trans :premises (@p73 @p68)) % 0.16/0.38 (step @p75 :rule beta-reduce :args ((= @t46 true))) % 0.16/0.38 (step @p76 :rule cong :premises (@p75) :args (@t47)) % 0.16/0.38 (step @p77 :rule trans :premises (@p76 @p68)) % 0.16/0.38 (step @p78 :rule nary_cong :premises (@p77 @p74 @p71) :args (@t48)) % 0.16/0.38 (step @p79 :rule trans :premises (@p78 @p70)) % 0.16/0.38 (step @p80 :rule cong :premises (@p79) :args (@t49)) % 0.16/0.38 (step @p81 :rule trans :premises (@p80 @p69)) % 0.16/0.38 (step @p82 :rule cong :premises (@p81) :args (@t50)) % 0.16/0.38 (step @p83 :rule trans :premises (@p82 @p68)) % 0.16/0.38 (step @p84 :rule quant-unused-vars :args ((= (forall @t14 true) true))) % 0.16/0.38 (step @p85 :rule absorb :args ((= (or @t38 true) true))) % 0.16/0.38 (step @p86 :rule refl :args (@t38)) % 0.16/0.38 (step @p87 :rule nary_cong :premises (@p86 @p75) :args (@t51)) % 0.16/0.38 (step @p88 :rule trans :premises (@p87 @p85)) % 0.16/0.38 (step @p89 :rule cong :premises (@p88) :args (@t52)) % 0.16/0.38 (step @p90 :rule trans :premises (@p89 @p84)) % 0.16/0.38 (step @p91 :rule cong :premises (@p90) :args (@t53)) % 0.16/0.38 (step @p92 :rule trans :premises (@p91 @p68)) % 0.16/0.38 (step @p93 :rule nary_cong :premises (@p92 @p83) :args (@t54)) % 0.16/0.38 (step @p94 :rule trans :premises (@p93 @p67)) % 0.16/0.38 (step @p95 :rule cong :premises (@p52 @p94) :args ((=> @t39 @t54))) % 0.16/0.38 (step @p96 :rule trans :premises (@p95 @p66)) % 0.16/0.38 (assume-push @p105 @t39) % 0.16/0.38 (step @p98 :rule instantiate :premises (@p65) :args ((@list @t42))) % 0.16/0.38 (step-pop @p106 :rule scope :premises (@p98)) % 0.16/0.38 (step @p99 :rule process_scope :premises (@p106) :args (@t54)) % 0.16/0.38 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.16/0.38 (step @p102 false :rule chain_m_resolution :premises (@p101 @p65) :args (false (@list false) (@list @t39))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------