%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU572^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:52:15 AM UTC 2026 % Result : Theorem 0.17s 0.37s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SEU572^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n012.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 17:42:03 EDT 2026 % 0.08/0.26 % CPUTime : % 0.17/0.34 %----Proving TH0 % 0.17/0.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.17/0.37 % SZS status Theorem % 0.17/0.37 % SZS output start Proof % 0.17/0.37 ( % 0.17/0.37 (declare-sort $$unsorted 0) % 0.17/0.37 (declare-const tptp.setadjoinSub Bool) % 0.17/0.37 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.subsetTrans Bool) % 0.17/0.37 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.17/0.37 (define @t1 () (@var "C" $$unsorted)) % 0.17/0.37 (define @t2 () (@var "A" $$unsorted)) % 0.17/0.37 (define @t3 () (_ tptp.subset @t2)) % 0.17/0.37 (define @t4 () (_ @t3 @t1)) % 0.17/0.37 (define @t5 () (@var "B" $$unsorted)) % 0.17/0.37 (define @t6 () (_ (_ tptp.subset @t5) @t1)) % 0.17/0.37 (define @t7 () (=> @t6 @t4)) % 0.17/0.37 (define @t8 () (_ @t3 @t5)) % 0.17/0.37 (define @t9 () (@list @t2 @t5 @t1)) % 0.17/0.37 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.17/0.37 (define @t11 () (= tptp.subsetTrans @t10)) % 0.17/0.37 (define @t12 () (@var "Xx" $$unsorted)) % 0.17/0.37 (define @t13 () (_ tptp.setadjoin @t12)) % 0.17/0.37 (define @t14 () (_ @t13 @t2)) % 0.17/0.37 (define @t15 () (_ @t3 @t14)) % 0.17/0.37 (define @t16 () (forall (@list @t12 @t2) @t15)) % 0.17/0.37 (define @t17 () (= tptp.setadjoinSub @t16)) % 0.17/0.37 (define @t18 () (_ @t13 @t5)) % 0.17/0.37 (define @t19 () (_ @t3 @t18)) % 0.17/0.37 (define @t20 () (@list @t2 @t12 @t5)) % 0.17/0.37 (define @t21 () (forall @t20 (=> @t8 @t19))) % 0.17/0.37 (define @t22 () (=> tptp.setadjoinSub @t21)) % 0.17/0.37 (define @t23 () (=> tptp.subsetTrans @t22)) % 0.17/0.37 (define @t24 () (not @t23)) % 0.17/0.37 (define @t25 () (tptp.setadjoin @t12 @t5)) % 0.17/0.37 (define @t26 () (tptp.subset @t2 @t25)) % 0.17/0.37 (define @t27 () (tptp.subset @t2 @t5)) % 0.17/0.37 (define @t28 () (not @t27)) % 0.17/0.37 (define @t29 () (forall @t20 (or @t28 @t26))) % 0.17/0.37 (define @t30 () (tptp.setadjoin @t12 @t2)) % 0.17/0.37 (define @t31 () (tptp.subset @t2 @t30)) % 0.17/0.37 (define @t32 () (=> tptp.setadjoinSub @t29)) % 0.17/0.37 (define @t33 () (tptp.subset @t2 @t1)) % 0.17/0.37 (define @t34 () (tptp.subset @t5 @t1)) % 0.17/0.37 (define @t35 () (not @t6)) % 0.17/0.37 (define @t36 () (not @t8)) % 0.17/0.37 (define @t37 () (or @t36 @t35 @t4)) % 0.17/0.37 (define @t38 () (=> tptp.subsetTrans @t32)) % 0.17/0.37 (define @t39 () (or @t36 @t19)) % 0.17/0.37 (define @t40 () (@quantifiers_skolemize @t29 2)) % 0.17/0.37 (define @t41 () (@quantifiers_skolemize @t29 1)) % 0.17/0.37 (define @t42 () (tptp.setadjoin @t41 @t40)) % 0.17/0.37 (define @t43 () (@quantifiers_skolemize @t29 0)) % 0.17/0.37 (define @t44 () (tptp.subset @t43 @t42)) % 0.17/0.37 (define @t45 () (tptp.subset @t43 @t40)) % 0.17/0.37 (define @t46 () (not @t45)) % 0.17/0.37 (define @t47 () (or @t46 @t44)) % 0.17/0.37 (define @t48 () (@list true)) % 0.17/0.37 (define @t49 () (@list @t47)) % 0.17/0.37 (define @t50 () (tptp.subset @t40 @t42)) % 0.17/0.37 (define @t51 () (not @t50)) % 0.17/0.37 (define @t52 () (or @t46 @t51 @t44)) % 0.17/0.37 (define @t53 () (not @t52)) % 0.17/0.37 (define @t54 () (forall @t9 (or @t28 (not @t34) @t33))) % 0.17/0.37 (assume @p1 @t11) % 0.17/0.37 (assume @p2 @t17) % 0.17/0.37 (assume @p3 @t24) % 0.17/0.37 (assume @p4 true) % 0.17/0.37 (step @p5 :rule refl :args (@t29)) % 0.17/0.37 (step @p6 :rule refl :args ((tptp.subset @t2 @t14))) % 0.17/0.37 (step @p7 :rule refl :args (@t30)) % 0.17/0.37 (step @p8 :rule refl :args (@t2)) % 0.17/0.37 (step @p9 :rule cong :premises (@p8 @p7) :args (@t31)) % 0.17/0.37 (step @p10 :rule trans :premises (@p9 @p6)) % 0.17/0.37 (step @p11 :rule refl :args (@t3)) % 0.17/0.37 (step @p12 :rule ho_cong :premises (@p11 @p7)) % 0.17/0.37 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ @t3 @t30) @t31))) % 0.17/0.37 (step @p14 :rule symm :premises (@p13)) % 0.17/0.37 (step @p15 :rule refl :args (@t15)) % 0.17/0.37 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.17/0.37 (step @p17 :rule refl :args (@t14)) % 0.17/0.37 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t14 @t30))) % 0.17/0.37 (step @p19 :rule symm :premises (@p18)) % 0.17/0.37 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.17/0.37 (step @p21 :rule ho_cong :premises (@p11 @p20)) % 0.17/0.37 (step @p22 :rule trans :premises (@p21 @p16)) % 0.17/0.37 (step @p23 :rule cong :premises (@p22) :args (@t16)) % 0.17/0.37 (step @p24 :rule refl :args (tptp.setadjoinSub)) % 0.17/0.37 (step @p25 :rule cong :premises (@p24 @p23) :args (@t17)) % 0.17/0.37 (step @p26 :rule eq_resolve :premises (@p2 @p25)) % 0.17/0.37 (step @p27 :rule cong :premises (@p26 @p5) :args (@t32)) % 0.17/0.37 (step @p28 :rule refl :args (@t33)) % 0.17/0.37 (step @p29 :rule refl :args (@t4)) % 0.17/0.37 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t4 @t33))) % 0.17/0.37 (step @p31 :rule symm :premises (@p30)) % 0.17/0.37 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.17/0.37 (step @p33 :rule refl :args (@t34)) % 0.17/0.37 (step @p34 :rule refl :args (@t6)) % 0.17/0.37 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t6 @t34))) % 0.17/0.37 (step @p36 :rule symm :premises (@p35)) % 0.17/0.37 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.17/0.37 (step @p38 :rule cong :premises (@p37) :args (@t35)) % 0.17/0.37 (step @p39 :rule refl :args (@t27)) % 0.17/0.37 (step @p40 :rule refl :args (@t8)) % 0.17/0.37 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t8 @t27))) % 0.17/0.37 (step @p42 :rule symm :premises (@p41)) % 0.17/0.37 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.17/0.37 (step @p44 :rule cong :premises (@p43) :args (@t36)) % 0.17/0.37 (step @p45 :rule nary_cong :premises (@p44 @p38 @p32) :args (@t37)) % 0.17/0.37 (step @p46 :rule cong :premises (@p45) :args ((forall @t9 @t37))) % 0.17/0.37 (step @p47 :rule aci_norm :args ((= (or @t36 (or @t35 @t4)) @t37))) % 0.17/0.37 (step @p48 :rule bool-impl-elim :args (@t6 @t4)) % 0.17/0.37 (step @p49 :rule refl :args (@t36)) % 0.17/0.37 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t36 @t7))) % 0.17/0.37 (step @p51 :rule trans :premises (@p50 @p47)) % 0.17/0.37 (step @p52 :rule bool-impl-elim :args (@t8 @t7)) % 0.17/0.37 (step @p53 :rule trans :premises (@p52 @p51)) % 0.17/0.37 (step @p54 :rule cong :premises (@p53) :args (@t10)) % 0.17/0.37 (step @p55 :rule trans :premises (@p54 @p46)) % 0.17/0.37 (step @p56 :rule refl :args (tptp.subsetTrans)) % 0.17/0.37 (step @p57 :rule cong :premises (@p56 @p55) :args (@t11)) % 0.17/0.37 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.17/0.37 (step @p59 :rule cong :premises (@p58 @p27) :args (@t38)) % 0.17/0.37 (step @p60 :rule cong :premises (@p59) :args ((not @t38))) % 0.17/0.37 (step @p61 :rule refl :args ((tptp.subset @t2 @t18))) % 0.17/0.37 (step @p62 :rule refl :args (@t25)) % 0.17/0.37 (step @p63 :rule cong :premises (@p8 @p62) :args (@t26)) % 0.17/0.37 (step @p64 :rule trans :premises (@p63 @p61)) % 0.17/0.37 (step @p65 :rule ho_cong :premises (@p11 @p62)) % 0.17/0.37 (step @p66 :rule cong :premises (@p65 @p64) :args ((= (_ @t3 @t25) @t26))) % 0.17/0.37 (step @p67 :rule symm :premises (@p66)) % 0.17/0.37 (step @p68 :rule refl :args (@t19)) % 0.17/0.37 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.17/0.37 (step @p70 :rule refl :args (@t18)) % 0.17/0.37 (step @p71 :rule cong :premises (@p70 @p62) :args ((= @t18 @t25))) % 0.17/0.37 (step @p72 :rule symm :premises (@p71)) % 0.17/0.37 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.17/0.37 (step @p74 :rule ho_cong :premises (@p11 @p73)) % 0.17/0.37 (step @p75 :rule trans :premises (@p74 @p69)) % 0.17/0.37 (step @p76 :rule nary_cong :premises (@p44 @p75) :args (@t39)) % 0.17/0.37 (step @p77 :rule cong :premises (@p76) :args ((forall @t20 @t39))) % 0.17/0.37 (step @p78 :rule bool-impl-elim :args (@t8 @t19)) % 0.17/0.37 (step @p79 :rule cong :premises (@p78) :args (@t21)) % 0.17/0.37 (step @p80 :rule trans :premises (@p79 @p77)) % 0.17/0.37 (step @p81 :rule cong :premises (@p24 @p80) :args (@t22)) % 0.17/0.37 (step @p82 :rule cong :premises (@p56 @p81) :args (@t23)) % 0.17/0.37 (step @p83 :rule cong :premises (@p82) :args (@t24)) % 0.17/0.37 (step @p84 :rule trans :premises (@p83 @p60)) % 0.17/0.37 (step @p85 :rule eq_resolve :premises (@p3 @p84)) % 0.17/0.37 (step @p86 :rule not_implies_elim1 :premises (@p85)) % 0.17/0.37 (step @p87 :rule not_implies_elim2 :premises (@p85)) % 0.17/0.37 (step @p88 :rule not_implies_elim1 :premises (@p87)) % 0.17/0.37 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t41 @t40))) % 0.17/0.37 (step @p90 :rule not_implies_elim2 :premises (@p87)) % 0.17/0.37 (step @p91 :rule skolemize :premises (@p90)) % 0.17/0.37 (step @p92 :rule cnf_or_neg :args (@t47 1)) % 0.17/0.37 (step @p93 :rule chain_m_resolution :premises (@p92 @p91) :args ((not @t44) @t48 @t49)) % 0.17/0.37 (step @p94 :rule bool-double-not-elim :args (@t45)) % 0.17/0.37 (step @p95 :rule refl :args (@t47)) % 0.17/0.37 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t47 (not @t46)))) % 0.17/0.37 (step @p97 :rule cnf_or_neg :args (@t47 0)) % 0.17/0.37 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.17/0.37 (step @p99 :rule reordering :premises (@p98) :args ((or @t45 @t47))) % 0.17/0.37 (step @p100 :rule chain_m_resolution :premises (@p99 @p91) :args (@t45 @t48 @t49)) % 0.17/0.37 (step @p101 :rule cnf_or_pos :args (@t52)) % 0.17/0.37 (step @p102 :rule reordering :premises (@p101) :args ((or @t46 @t44 @t51 @t53))) % 0.17/0.37 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p93 @p89) :args (@t53 (@list false true false) (@list @t45 @t44 @t50))) % 0.17/0.37 (assume-push @p110 @t54) % 0.17/0.37 (step @p105 :rule instantiate :premises (@p86) :args ((@list @t43 @t40 @t42))) % 0.17/0.37 (step-pop @p111 :rule scope :premises (@p105)) % 0.17/0.37 (step @p106 :rule process_scope :premises (@p111) :args (@t52)) % 0.17/0.37 (step @p108 :rule implies_elim :premises (@p106)) % 0.17/0.37 (step @p109 false :rule chain_m_resolution :premises (@p108 @p103 @p86) :args (false (@list true false) (@list @t52 @t54))) % 0.17/0.37 ) % 0.17/0.37 % SZS output end Proof % 0.17/0.37 % cvc5 exiting %------------------------------------------------------------------------------