%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU155+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:50:45 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU155+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.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 : Tue Jun 2 16:33:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.60 (define @t3 () (tptp.in @t1 @t2)) % 0.39/0.60 (define @t4 () (@list @t1 @t2)) % 0.39/0.60 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.60 (define @t6 () (tptp.in @t5 @t2)) % 0.39/0.60 (define @t7 () (tptp.in @t5 @t1)) % 0.39/0.60 (define @t8 () (@list @t5)) % 0.39/0.60 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.39/0.60 (define @t10 () (tptp.subset @t1 @t2)) % 0.39/0.60 (define @t11 () (= @t10 @t9)) % 0.39/0.60 (define @t12 () (forall @t4 @t11)) % 0.39/0.60 (define @t13 () (@var "D" $$unsorted)) % 0.39/0.60 (define @t14 () (tptp.in @t13 @t1)) % 0.39/0.60 (define @t15 () (tptp.in @t5 @t13)) % 0.39/0.60 (define @t16 () (and @t15 @t14)) % 0.39/0.60 (define @t17 () (@list @t13)) % 0.39/0.60 (define @t18 () (exists @t17 @t16)) % 0.39/0.60 (define @t19 () (= @t6 @t18)) % 0.39/0.60 (define @t20 () (forall @t8 @t19)) % 0.39/0.60 (define @t21 () (= @t2 (tptp.union @t1))) % 0.39/0.60 (define @t22 () (= @t21 @t20)) % 0.39/0.60 (define @t23 () (forall @t4 @t22)) % 0.39/0.60 (define @t24 () (tptp.subset @t1 (tptp.union @t2))) % 0.39/0.60 (define @t25 () (forall @t4 (=> @t3 @t24))) % 0.39/0.60 (define @t26 () (not @t25)) % 0.39/0.60 (define @t27 () (forall @t17 (not @t16))) % 0.39/0.60 (define @t28 () (not @t27)) % 0.39/0.60 (define @t29 () (forall @t4 (or (not @t3) @t24))) % 0.39/0.60 (define @t30 () (@quantifiers_skolemize @t29 1)) % 0.39/0.60 (define @t31 () (not (tptp.in @t13 @t30))) % 0.39/0.60 (define @t32 () (not @t15)) % 0.39/0.60 (define @t33 () (tptp.union @t30)) % 0.39/0.60 (define @t34 () (tptp.in @t5 @t33)) % 0.39/0.60 (define @t35 () (forall @t8 (= @t34 (not (forall @t17 (or @t32 @t31)))))) % 0.39/0.60 (define @t36 () (= (= @t33 @t33) @t35)) % 0.39/0.60 (define @t37 () (forall @t4 (= @t21 (forall @t8 (= @t6 (not (forall @t17 (or @t32 (not @t14))))))))) % 0.39/0.60 (define @t38 () (@quantifiers_skolemize @t29 0)) % 0.39/0.60 (define @t39 () (forall @t8 (or (not (tptp.in @t5 @t38)) @t34))) % 0.39/0.60 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.39/0.60 (define @t41 () (tptp.subset @t38 @t33)) % 0.39/0.60 (define @t42 () (tptp.in @t38 @t30)) % 0.39/0.60 (define @t43 () (not @t42)) % 0.39/0.60 (define @t44 () (or @t43 @t41)) % 0.39/0.60 (define @t45 () (@list true)) % 0.39/0.60 (define @t46 () (@list @t44)) % 0.39/0.60 (define @t47 () (= @t41 @t39)) % 0.39/0.60 (define @t48 () (not @t39)) % 0.39/0.60 (define @t49 () (@list true false)) % 0.39/0.60 (define @t50 () (tptp.in @t40 @t33)) % 0.39/0.60 (define @t51 () (tptp.in @t40 @t38)) % 0.39/0.60 (define @t52 () (not @t51)) % 0.39/0.60 (define @t53 () (or @t52 @t50)) % 0.39/0.60 (define @t54 () (@list @t53)) % 0.39/0.60 (define @t55 () (forall @t17 (or (not (tptp.in @t40 @t13)) @t31))) % 0.39/0.60 (define @t56 () (not @t55)) % 0.39/0.60 (define @t57 () (= @t50 @t56)) % 0.39/0.60 (define @t58 () (not @t57)) % 0.39/0.60 (define @t59 () (or @t52 @t43)) % 0.39/0.60 (define @t60 () (not @t59)) % 0.39/0.60 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.39/0.60 (assume @p2 @t12) % 0.39/0.60 (assume @p3 @t23) % 0.39/0.60 (assume @p4 true) % 0.39/0.60 (assume @p5 @t26) % 0.39/0.60 (assume @p6 (forall @t4 (tptp.subset @t1 @t1))) % 0.39/0.60 (step @p7 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.39/0.60 (step @p8 :rule cong :premises (@p7) :args (@t27)) % 0.39/0.60 (step @p9 :rule cong :premises (@p8) :args (@t28)) % 0.39/0.60 (step @p10 :rule exists-elim :args ((= @t18 @t28))) % 0.39/0.60 (step @p11 :rule trans :premises (@p10 @p9)) % 0.39/0.60 (step @p12 :rule refl :args (@t6)) % 0.39/0.60 (step @p13 :rule cong :premises (@p12 @p11) :args (@t19)) % 0.39/0.60 (step @p14 :rule cong :premises (@p13) :args (@t20)) % 0.39/0.60 (step @p15 :rule refl :args (@t21)) % 0.39/0.60 (step @p16 :rule cong :premises (@p15 @p14) :args (@t22)) % 0.39/0.60 (step @p17 :rule cong :premises (@p16) :args (@t23)) % 0.39/0.60 (step @p18 :rule eq_resolve :premises (@p3 @p17)) % 0.39/0.60 (step @p19 :rule bool-eq-true :args (@t35)) % 0.39/0.60 (step @p20 :rule eq-symm :args (true @t35)) % 0.39/0.60 (step @p21 :rule trans :premises (@p20 @p19)) % 0.39/0.60 (step @p22 :rule refl :args (@t35)) % 0.39/0.60 (step @p23 :rule eq-refl :args (@t33)) % 0.39/0.60 (step @p24 :rule cong :premises (@p23 @p22) :args (@t36)) % 0.39/0.60 (step @p25 :rule trans :premises (@p24 @p21)) % 0.39/0.60 (step @p26 :rule refl :args (@t37)) % 0.39/0.60 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t37 @t36))) % 0.39/0.60 (assume-push @p87 @t37) % 0.39/0.60 (step @p29 :rule instantiate :premises (@p18) :args ((@list @t30 @t33))) % 0.39/0.60 (step-pop @p88 :rule scope :premises (@p29)) % 0.39/0.60 (step @p30 :rule process_scope :premises (@p88) :args (@t36)) % 0.39/0.60 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 0.39/0.60 (step @p33 :rule implies_elim :premises (@p32)) % 0.39/0.60 (step @p34 :rule chain_m_resolution :premises (@p33 @p18) :args (@t35 (@list false) (@list @t37))) % 0.39/0.60 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t40))) % 0.39/0.60 (step @p36 :rule bool-impl-elim :args (@t7 @t6)) % 0.39/0.60 (step @p37 :rule cong :premises (@p36) :args (@t9)) % 0.39/0.60 (step @p38 :rule refl :args (@t10)) % 0.39/0.60 (step @p39 :rule cong :premises (@p38 @p37) :args (@t11)) % 0.39/0.60 (step @p40 :rule cong :premises (@p39) :args (@t12)) % 0.39/0.60 (step @p41 :rule eq_resolve :premises (@p2 @p40)) % 0.39/0.60 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t38 @t33))) % 0.39/0.60 (step @p43 :rule bool-impl-elim :args (@t3 @t24)) % 0.39/0.60 (step @p44 :rule cong :premises (@p43) :args (@t25)) % 0.39/0.60 (step @p45 :rule cong :premises (@p44) :args (@t26)) % 0.39/0.60 (step @p46 :rule eq_resolve :premises (@p5 @p45)) % 0.39/0.60 (step @p47 :rule skolemize :premises (@p46)) % 0.39/0.60 (step @p48 :rule cnf_or_neg :args (@t44 1)) % 0.39/0.60 (step @p49 :rule chain_m_resolution :premises (@p48 @p47) :args ((not @t41) @t45 @t46)) % 0.39/0.60 (step @p50 :rule cnf_equiv_pos2 :args (@t47)) % 0.39/0.60 (step @p51 :rule reordering :premises (@p50) :args ((or @t41 @t48 (not @t47)))) % 0.39/0.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p42) :args (@t48 @t49 (@list @t41 @t47))) % 0.39/0.60 (step @p53 :rule skolemize :premises (@p52)) % 0.39/0.60 (step @p54 :rule cnf_or_neg :args (@t53 1)) % 0.39/0.60 (step @p55 :rule chain_m_resolution :premises (@p54 @p53) :args ((not @t50) @t45 @t54)) % 0.39/0.60 (step @p56 :rule bool-double-not-elim :args (@t55)) % 0.39/0.60 (step @p57 :rule refl :args (@t50)) % 0.39/0.60 (step @p58 :rule refl :args (@t58)) % 0.39/0.60 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args ((or @t58 @t50 (not @t56)))) % 0.39/0.60 (step @p60 :rule cnf_equiv_pos2 :args (@t57)) % 0.39/0.60 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.39/0.60 (step @p62 :rule reordering :premises (@p61) :args ((or @t50 @t55 @t58))) % 0.39/0.60 (step @p63 :rule chain_m_resolution :premises (@p62 @p55 @p35) :args (@t55 @t49 (@list @t50 @t57))) % 0.39/0.60 (step @p64 :rule bool-double-not-elim :args (@t51)) % 0.39/0.60 (step @p65 :rule refl :args (@t53)) % 0.39/0.60 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t53 (not @t52)))) % 0.39/0.60 (step @p67 :rule cnf_or_neg :args (@t53 0)) % 0.39/0.60 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.39/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t51 @t53))) % 0.39/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p53) :args (@t51 @t45 @t54)) % 0.39/0.60 (step @p71 :rule bool-double-not-elim :args (@t42)) % 0.39/0.60 (step @p72 :rule refl :args (@t44)) % 0.39/0.60 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t44 (not @t43)))) % 0.39/0.60 (step @p74 :rule cnf_or_neg :args (@t44 0)) % 0.39/0.60 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.39/0.60 (step @p76 :rule reordering :premises (@p75) :args ((or @t42 @t44))) % 0.39/0.60 (step @p77 :rule chain_m_resolution :premises (@p76 @p47) :args (@t42 @t45 @t46)) % 0.39/0.60 (step @p78 :rule cnf_or_pos :args (@t59)) % 0.39/0.60 (step @p79 :rule reordering :premises (@p78) :args ((or @t43 @t52 @t60))) % 0.39/0.60 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p70) :args (@t60 (@list false false) (@list @t42 @t51))) % 0.39/0.60 (assume-push @p89 @t55) % 0.39/0.60 (step @p82 :rule instantiate :premises (@p63) :args ((@list @t38))) % 0.39/0.60 (step-pop @p90 :rule scope :premises (@p82)) % 0.39/0.60 (step @p83 :rule process_scope :premises (@p90) :args (@t59)) % 0.39/0.60 (step @p85 :rule implies_elim :premises (@p83)) % 0.39/0.60 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p63) :args (false @t49 (@list @t59 @t55))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------