%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV049^5 : 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 : n022.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 08:55:22 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV049^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.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 : Tue Jun 2 18:10:23 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (define @t1 () (@var "Xz" (-> $$unsorted Bool))) % 0.37/0.60 (define @t2 () (@var "Xx" (-> $$unsorted Bool))) % 0.37/0.60 (define @t3 () (@var "R" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))) % 0.37/0.60 (define @t4 () (_ @t3 @t2)) % 0.37/0.60 (define @t5 () (_ @t4 @t1)) % 0.37/0.60 (define @t6 () (@var "Xy" (-> $$unsorted Bool))) % 0.37/0.60 (define @t7 () (_ (_ @t3 @t6) @t1)) % 0.37/0.60 (define @t8 () (_ @t4 @t6)) % 0.37/0.60 (define @t9 () (and @t8 @t7)) % 0.37/0.60 (define @t10 () (@list @t2 @t6 @t1)) % 0.37/0.60 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.37/0.60 (define @t12 () (@var "Xx" $$unsorted)) % 0.37/0.60 (define @t13 () (@list @t12)) % 0.37/0.60 (define @t14 () (lambda @t13 false)) % 0.37/0.60 (define @t15 () (lambda @t13 true)) % 0.37/0.60 (define @t16 () (not (_ (_ @t3 @t15) @t14))) % 0.37/0.60 (define @t17 () (and @t16 @t11)) % 0.37/0.60 (define @t18 () (@list @t3)) % 0.37/0.60 (define @t19 () (exists @t18 @t17)) % 0.37/0.60 (define @t20 () (not @t19)) % 0.37/0.60 (define @t21 () (_ @t3 @t2 @t1)) % 0.37/0.60 (define @t22 () (_ @t3 @t6 @t1)) % 0.37/0.60 (define @t23 () (_ @t3 @t2 @t6)) % 0.37/0.60 (define @t24 () (forall @t10 (or (not @t23) (not @t22) @t21))) % 0.37/0.60 (define @t25 () (not @t24)) % 0.37/0.60 (define @t26 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 0.37/0.60 (define @t27 () (lambda (@list @t26) false)) % 0.37/0.60 (define @t28 () (@var "BOUND_VARIABLE_7529" $$unsorted)) % 0.37/0.60 (define @t29 () (lambda (@list @t28) true)) % 0.37/0.60 (define @t30 () (_ @t3 @t29 @t27)) % 0.37/0.60 (define @t31 () (forall @t18 (or @t30 @t25))) % 0.37/0.60 (define @t32 () (_ (_ @t3 @t29) @t27)) % 0.37/0.60 (define @t33 () (or @t32 @t25)) % 0.37/0.60 (define @t34 () (not @t32)) % 0.37/0.60 (define @t35 () (and @t34 @t24)) % 0.37/0.60 (define @t36 () (forall @t18 (not @t35))) % 0.37/0.60 (define @t37 () (not @t36)) % 0.37/0.60 (define @t38 () (not @t7)) % 0.37/0.60 (define @t39 () (not @t8)) % 0.37/0.60 (define @t40 () (or @t39 @t38 @t5)) % 0.37/0.60 (define @t41 () (@list @t12)) % 0.37/0.60 (define @t42 () (lambda (@list (@var "BOUND_VARIABLE_14606" (-> $$unsorted Bool)) (@var "BOUND_VARIABLE_14607" (-> $$unsorted Bool))) false)) % 0.37/0.60 (define @t43 () (_ @t42 @t2 @t1)) % 0.37/0.60 (define @t44 () (_ @t42 @t6 @t1)) % 0.37/0.60 (define @t45 () (not @t44)) % 0.37/0.60 (define @t46 () (_ @t42 @t2 @t6)) % 0.37/0.60 (define @t47 () (not @t46)) % 0.37/0.60 (define @t48 () (or @t47 @t45 @t43)) % 0.37/0.60 (define @t49 () (forall @t10 @t48)) % 0.37/0.60 (define @t50 () (not @t49)) % 0.37/0.60 (define @t51 () (_ @t42 @t29 @t27)) % 0.37/0.60 (define @t52 () (or @t51 @t50)) % 0.37/0.60 (assume @p1 @t20) % 0.37/0.60 (assume @p2 true) % 0.37/0.60 (step @p3 :rule bool-double-not-elim :args (@t31)) % 0.37/0.60 (step @p4 :rule refl :args (@t25)) % 0.37/0.60 (step @p5 :rule refl :args ((_ @t3 @t29 @t27))) % 0.37/0.60 (step @p6 :rule refl :args (@t27)) % 0.37/0.60 (step @p7 :rule refl :args (@t29)) % 0.37/0.60 (step @p8 :rule cong :premises (@p7 @p6) :args (@t30)) % 0.37/0.60 (step @p9 :rule trans :premises (@p8 @p5)) % 0.37/0.60 (step @p10 :rule refl :args (@t3)) % 0.37/0.60 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.37/0.60 (step @p12 :rule ho_cong :premises (@p11 @p6)) % 0.37/0.60 (step @p13 :rule cong :premises (@p12 @p9) :args ((= @t32 @t30))) % 0.37/0.60 (step @p14 :rule symm :premises (@p13)) % 0.37/0.60 (step @p15 :rule refl :args ((_ (_ @t3 @t29) @t27))) % 0.37/0.60 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.37/0.60 (step @p17 :rule nary_cong :premises (@p16 @p4) :args (@t33)) % 0.37/0.60 (step @p18 :rule cong :premises (@p17) :args ((forall @t18 @t33))) % 0.37/0.60 (step @p19 :rule bool-double-not-elim :args (@t32)) % 0.37/0.60 (step @p20 :rule nary_cong :premises (@p19 @p4) :args ((or (not @t34) @t25))) % 0.37/0.60 (step @p21 :rule bool-and-de-morgan :args (@t34 @t24 true)) % 0.37/0.60 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.60 (step @p23 :rule cong :premises (@p22) :args (@t36)) % 0.37/0.60 (step @p24 :rule trans :premises (@p23 @p18)) % 0.37/0.60 (step @p25 :rule cong :premises (@p24) :args (@t37)) % 0.37/0.60 (step @p26 :rule exists-elim :args ((= (exists @t18 @t35) @t37))) % 0.37/0.60 (step @p27 :rule trans :premises (@p26 @p25)) % 0.37/0.60 (step @p28 :rule refl :args (@t21)) % 0.37/0.60 (step @p29 :rule refl :args (@t5)) % 0.37/0.60 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t5 @t21))) % 0.37/0.60 (step @p31 :rule symm :premises (@p30)) % 0.37/0.60 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.37/0.60 (step @p33 :rule refl :args (@t22)) % 0.37/0.60 (step @p34 :rule refl :args (@t7)) % 0.37/0.60 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t7 @t22))) % 0.37/0.60 (step @p36 :rule symm :premises (@p35)) % 0.37/0.60 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.37/0.60 (step @p38 :rule cong :premises (@p37) :args (@t38)) % 0.37/0.60 (step @p39 :rule refl :args (@t23)) % 0.37/0.60 (step @p40 :rule refl :args (@t8)) % 0.37/0.60 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t8 @t23))) % 0.37/0.60 (step @p42 :rule symm :premises (@p41)) % 0.37/0.60 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.37/0.60 (step @p44 :rule cong :premises (@p43) :args (@t39)) % 0.37/0.60 (step @p45 :rule nary_cong :premises (@p44 @p38 @p32) :args (@t40)) % 0.37/0.60 (step @p46 :rule cong :premises (@p45) :args ((forall @t10 @t40))) % 0.37/0.60 (step @p47 :rule aci_norm :args ((= (or (or @t39 @t38) @t5) @t40))) % 0.37/0.60 (step @p48 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.37/0.60 (step @p49 :rule nary_cong :premises (@p48 @p29) :args ((or (not @t9) @t5))) % 0.37/0.60 (step @p50 :rule trans :premises (@p49 @p47)) % 0.37/0.60 (step @p51 :rule bool-impl-elim :args (@t9 @t5)) % 0.37/0.60 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.60 (step @p53 :rule cong :premises (@p52) :args (@t11)) % 0.37/0.60 (step @p54 :rule trans :premises (@p53 @p46)) % 0.37/0.60 (step @p55 :rule symm :premises (@p6)) % 0.37/0.60 (step @p56 :rule alpha_equiv :args (@t14 @t41 (@list @t26))) % 0.37/0.60 (step @p57 :rule trans :premises (@p56 @p55)) % 0.37/0.60 (step @p58 :rule symm :premises (@p7)) % 0.37/0.60 (step @p59 :rule alpha_equiv :args (@t15 @t41 (@list @t28))) % 0.37/0.60 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.60 (step @p61 :rule refl :args (@t3)) % 0.37/0.60 (step @p62 :rule ho_cong :premises (@p61 @p60)) % 0.37/0.60 (step @p63 :rule ho_cong :premises (@p62 @p57)) % 0.37/0.60 (step @p64 :rule cong :premises (@p63) :args (@t16)) % 0.37/0.60 (step @p65 :rule nary_cong :premises (@p64 @p54) :args (@t17)) % 0.37/0.60 (step @p66 :rule cong :premises (@p65) :args (@t19)) % 0.37/0.60 (step @p67 :rule trans :premises (@p66 @p27)) % 0.37/0.60 (step @p68 :rule cong :premises (@p67) :args (@t20)) % 0.37/0.60 (step @p69 :rule trans :premises (@p68 @p3)) % 0.37/0.60 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 0.37/0.60 (step @p71 :rule bool-impl-false1 :args (@t31)) % 0.37/0.60 (step @p72 :rule evaluate :args ((or false false))) % 0.37/0.60 (step @p73 :rule evaluate :args ((not true))) % 0.37/0.60 (step @p74 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.37/0.60 (step @p75 :rule evaluate :args ((or true true false))) % 0.37/0.60 (step @p76 :rule beta-reduce :args ((= @t43 false))) % 0.37/0.60 (step @p77 :rule evaluate :args ((not false))) % 0.37/0.60 (step @p78 :rule beta-reduce :args ((= @t44 false))) % 0.37/0.60 (step @p79 :rule cong :premises (@p78) :args (@t45)) % 0.37/0.60 (step @p80 :rule trans :premises (@p79 @p77)) % 0.37/0.60 (step @p81 :rule beta-reduce :args ((= @t46 false))) % 0.37/0.60 (step @p82 :rule cong :premises (@p81) :args (@t47)) % 0.37/0.60 (step @p83 :rule trans :premises (@p82 @p77)) % 0.37/0.60 (step @p84 :rule nary_cong :premises (@p83 @p80 @p76) :args (@t48)) % 0.37/0.60 (step @p85 :rule trans :premises (@p84 @p75)) % 0.37/0.60 (step @p86 :rule cong :premises (@p85) :args (@t49)) % 0.37/0.60 (step @p87 :rule trans :premises (@p86 @p74)) % 0.37/0.60 (step @p88 :rule cong :premises (@p87) :args (@t50)) % 0.37/0.60 (step @p89 :rule trans :premises (@p88 @p73)) % 0.37/0.60 (step @p90 :rule beta-reduce :args ((= @t51 false))) % 0.37/0.60 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t52)) % 0.37/0.60 (step @p92 :rule trans :premises (@p91 @p72)) % 0.37/0.60 (step @p93 :rule refl :args (@t31)) % 0.37/0.60 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t31 @t52))) % 0.37/0.60 (step @p95 :rule trans :premises (@p94 @p71)) % 0.37/0.60 (assume-push @p102 @t31) % 0.37/0.60 (step @p97 :rule instantiate :premises (@p70) :args ((@list @t42))) % 0.37/0.60 (step-pop @p103 :rule scope :premises (@p97)) % 0.37/0.60 (step @p98 :rule process_scope :premises (@p103) :args (@t52)) % 0.37/0.60 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 0.37/0.60 (step @p101 false :rule chain_m_resolution :premises (@p100 @p70) :args (false (@list false) (@list @t31))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------