%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU172+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:50:50 AM UTC 2026 % Result : Theorem 34.43s 34.62s % Output : Proof 34.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU172+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n011.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:33:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 34.43/34.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.43/34.62 --- Run --no-e-matching --full-saturate-quant at 6... % 34.43/34.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.43/34.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.43/34.62 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.43/34.62 % SZS status Theorem % 34.43/34.62 % SZS output start Proof % 34.43/34.62 ( % 34.43/34.62 (declare-sort $$unsorted 0) % 34.43/34.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.43/34.62 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 34.43/34.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.43/34.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.43/34.62 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 34.43/34.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.43/34.62 (declare-const tptp.empty_set $$unsorted) % 34.43/34.62 (define @t1 () (@var "A" $$unsorted)) % 34.43/34.62 (define @t2 () (@list @t1)) % 34.43/34.62 (define @t3 () (@var "B" $$unsorted)) % 34.43/34.62 (define @t4 () (tptp.empty @t3)) % 34.43/34.62 (define @t5 () (tptp.powerset @t1)) % 34.43/34.62 (define @t6 () (tptp.element @t3 @t5)) % 34.43/34.62 (define @t7 () (@list @t3)) % 34.43/34.62 (define @t8 () (tptp.empty @t1)) % 34.43/34.62 (define @t9 () (not @t8)) % 34.43/34.62 (define @t10 () (@list @t1 @t3)) % 34.43/34.62 (define @t11 () (tptp.subset_complement @t1 @t3)) % 34.43/34.62 (define @t12 () (tptp.in @t1 @t3)) % 34.43/34.62 (define @t13 () (tptp.set_difference @t1 @t3)) % 34.43/34.62 (define @t14 () (= @t11 @t13)) % 34.43/34.62 (define @t15 () (forall @t10 (=> @t6 @t14))) % 34.43/34.62 (define @t16 () (@var "C" $$unsorted)) % 34.43/34.62 (define @t17 () (tptp.in @t3 @t16)) % 34.43/34.62 (define @t18 () (tptp.in @t3 (tptp.subset_complement @t1 @t16))) % 34.43/34.62 (define @t19 () (not (and @t18 @t17))) % 34.43/34.62 (define @t20 () (tptp.element @t16 @t5)) % 34.43/34.62 (define @t21 () (@list @t1 @t3 @t16)) % 34.43/34.62 (define @t22 () (forall @t21 (=> @t20 @t19))) % 34.43/34.62 (define @t23 () (not @t22)) % 34.43/34.62 (define @t24 () (@var "D" $$unsorted)) % 34.43/34.62 (define @t25 () (@list @t24)) % 34.43/34.62 (define @t26 () (forall @t25 (= (tptp.in @t24 @t16) (and (tptp.in @t24 @t1) (not (tptp.in @t24 @t3)))))) % 34.43/34.62 (define @t27 () (= (= @t16 @t13) @t26)) % 34.43/34.62 (define @t28 () (forall @t21 @t27)) % 34.43/34.62 (define @t29 () (not @t17)) % 34.43/34.62 (define @t30 () (not @t18)) % 34.43/34.62 (define @t31 () (not @t20)) % 34.43/34.62 (define @t32 () (or @t31 @t30 @t29)) % 34.43/34.62 (define @t33 () (forall @t21 @t32)) % 34.43/34.62 (define @t34 () (@quantifiers_skolemize @t33 2)) % 34.43/34.62 (define @t35 () (@quantifiers_skolemize @t33 0)) % 34.43/34.62 (define @t36 () (tptp.subset_complement @t35 @t34)) % 34.43/34.62 (define @t37 () (@quantifiers_skolemize @t33 1)) % 34.43/34.62 (define @t38 () (tptp.in @t37 @t36)) % 34.43/34.62 (define @t39 () (tptp.in @t37 @t34)) % 34.43/34.62 (define @t40 () (not @t39)) % 34.43/34.62 (define @t41 () (not @t38)) % 34.43/34.62 (define @t42 () (tptp.element @t34 (tptp.powerset @t35))) % 34.43/34.62 (define @t43 () (not @t42)) % 34.43/34.62 (define @t44 () (or @t43 @t41 @t40)) % 34.43/34.62 (define @t45 () (@list true)) % 34.43/34.62 (define @t46 () (@list @t44)) % 34.43/34.62 (define @t47 () (and (tptp.in @t37 @t35) @t40)) % 34.43/34.62 (define @t48 () (not @t47)) % 34.43/34.62 (define @t49 () (@list false)) % 34.43/34.62 (define @t50 () (= @t13 @t16)) % 34.43/34.62 (define @t51 () (forall @t25 (= (tptp.in @t24 @t36) (and (tptp.in @t24 @t35) (not (tptp.in @t24 @t34)))))) % 34.43/34.62 (define @t52 () (tptp.set_difference @t35 @t34)) % 34.43/34.62 (define @t53 () (= @t36 @t52)) % 34.43/34.62 (define @t54 () (= @t51 (= @t52 @t36))) % 34.43/34.62 (define @t55 () (forall @t21 (= @t26 @t50))) % 34.43/34.62 (define @t56 () (= @t53 @t51)) % 34.43/34.62 (define @t57 () (or @t43 @t53)) % 34.43/34.62 (define @t58 () (@list false false)) % 34.43/34.62 (define @t59 () (= @t38 @t47)) % 34.43/34.62 (assume @p1 true) % 34.43/34.62 (assume @p2 (tptp.empty tptp.empty_set)) % 34.43/34.62 (assume @p3 (forall @t2 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 34.43/34.62 (assume @p4 (forall @t2 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 34.43/34.62 (assume @p5 (forall @t2 (=> @t9 (exists @t7 (and @t6 (not @t4)))))) % 34.43/34.62 (assume @p6 (forall @t2 (exists @t7 (and @t6 @t4)))) % 34.43/34.62 (assume @p7 (exists @t2 @t8)) % 34.43/34.62 (assume @p8 (exists @t2 @t9)) % 34.43/34.62 (assume @p9 (forall @t2 (=> @t8 (= @t1 tptp.empty_set)))) % 34.43/34.62 (assume @p10 (forall @t10 (not (and @t8 (not (= @t1 @t3)) @t4)))) % 34.43/34.62 (assume @p11 (forall @t10 (=> @t6 (= (tptp.subset_complement @t1 @t11) @t3)))) % 34.43/34.62 (assume @p12 (forall @t10 (=> @t12 (not (tptp.in @t3 @t1))))) % 34.43/34.62 (assume @p13 (forall @t2 (exists @t7 (tptp.element @t3 @t1)))) % 34.43/34.62 (assume @p14 (forall @t10 (=> @t6 (tptp.element @t11 @t5)))) % 34.43/34.62 (assume @p15 (forall @t2 (not (tptp.empty @t5)))) % 34.43/34.62 (assume @p16 (forall @t10 (not (and @t12 @t4)))) % 34.43/34.62 (assume @p17 @t15) % 34.43/34.62 (assume @p18 @t23) % 34.43/34.62 (assume @p19 @t28) % 34.43/34.62 (step @p20 :rule aci_norm :args ((= (or @t31 (or @t30 @t29)) @t32))) % 34.43/34.62 (step @p21 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 34.43/34.62 (step @p22 :rule refl :args (@t31)) % 34.43/34.62 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t31 @t19))) % 34.43/34.62 (step @p24 :rule trans :premises (@p23 @p20)) % 34.43/34.62 (step @p25 :rule bool-impl-elim :args (@t20 @t19)) % 34.43/34.62 (step @p26 :rule trans :premises (@p25 @p24)) % 34.43/34.62 (step @p27 :rule cong :premises (@p26) :args (@t22)) % 34.43/34.62 (step @p28 :rule cong :premises (@p27) :args (@t23)) % 34.43/34.62 (step @p29 :rule eq_resolve :premises (@p18 @p28)) % 34.43/34.62 (step @p30 :rule skolemize :premises (@p29)) % 34.43/34.62 (step @p31 :rule bool-double-not-elim :args (@t38)) % 34.43/34.62 (step @p32 :rule refl :args (@t44)) % 34.43/34.62 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t44 (not @t41)))) % 34.43/34.62 (step @p34 :rule cnf_or_neg :args (@t44 1)) % 34.43/34.62 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 34.43/34.62 (step @p36 :rule reordering :premises (@p35) :args ((or @t38 @t44))) % 34.43/34.62 (step @p37 :rule chain_m_resolution :premises (@p36 @p30) :args (@t38 @t45 @t46)) % 34.43/34.62 (step @p38 :rule bool-double-not-elim :args (@t39)) % 34.43/34.62 (step @p39 :rule nary_cong :premises (@p32 @p38) :args ((or @t44 (not @t40)))) % 34.43/34.62 (step @p40 :rule cnf_or_neg :args (@t44 2)) % 34.43/34.62 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 34.43/34.62 (step @p42 :rule reordering :premises (@p41) :args ((or @t39 @t44))) % 34.43/34.62 (step @p43 :rule chain_m_resolution :premises (@p42 @p30) :args (@t39 @t45 @t46)) % 34.43/34.62 (step @p44 :rule cnf_and_pos :args (@t47 1)) % 34.43/34.62 (step @p45 :rule reordering :premises (@p44) :args ((or @t40 @t48))) % 34.43/34.62 (step @p46 :rule chain_m_resolution :premises (@p45 @p43) :args (@t48 @t49 (@list @t39))) % 34.43/34.62 (step @p47 :rule eq-symm :args (@t50 @t26)) % 34.43/34.62 (step @p48 :rule refl :args (@t26)) % 34.43/34.62 (step @p49 :rule eq-symm :args (@t16 @t13)) % 34.43/34.62 (step @p50 :rule cong :premises (@p49 @p48) :args (@t27)) % 34.43/34.62 (step @p51 :rule trans :premises (@p50 @p47)) % 34.43/34.62 (step @p52 :rule cong :premises (@p51) :args (@t28)) % 34.43/34.62 (step @p53 :rule eq_resolve :premises (@p19 @p52)) % 34.43/34.62 (step @p54 :rule eq-symm :args (@t51 @t53)) % 34.43/34.62 (step @p55 :rule eq-symm :args (@t52 @t36)) % 34.43/34.62 (step @p56 :rule refl :args (@t51)) % 34.43/34.62 (step @p57 :rule cong :premises (@p56 @p55) :args (@t54)) % 34.43/34.62 (step @p58 :rule trans :premises (@p57 @p54)) % 34.43/34.62 (step @p59 :rule refl :args (@t55)) % 34.43/34.62 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t55 @t54))) % 34.43/34.62 (assume-push @p88 @t55) % 34.43/34.62 (step @p62 :rule instantiate :premises (@p53) :args ((@list @t35 @t34 @t36))) % 34.43/34.62 (step-pop @p89 :rule scope :premises (@p62)) % 34.43/34.62 (step @p63 :rule process_scope :premises (@p89) :args (@t54)) % 34.43/34.62 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 34.43/34.62 (step @p66 :rule implies_elim :premises (@p65)) % 34.43/34.62 (step @p67 :rule chain_m_resolution :premises (@p66 @p53) :args (@t56 @t49 (@list @t55))) % 34.43/34.62 (step @p68 :rule bool-impl-elim :args (@t6 @t14)) % 34.43/34.62 (step @p69 :rule cong :premises (@p68) :args (@t15)) % 34.43/34.62 (step @p70 :rule eq_resolve :premises (@p17 @p69)) % 34.43/34.62 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t35 @t34))) % 34.43/34.62 (step @p72 :rule bool-double-not-elim :args (@t42)) % 34.43/34.62 (step @p73 :rule nary_cong :premises (@p32 @p72) :args ((or @t44 (not @t43)))) % 34.43/34.62 (step @p74 :rule cnf_or_neg :args (@t44 0)) % 34.43/34.62 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 34.43/34.62 (step @p76 :rule reordering :premises (@p75) :args ((or @t42 @t44))) % 34.43/34.62 (step @p77 :rule chain_m_resolution :premises (@p76 @p30) :args (@t42 @t45 @t46)) % 34.43/34.62 (step @p78 :rule cnf_or_pos :args (@t57)) % 34.43/34.62 (step @p79 :rule reordering :premises (@p78) :args ((or @t43 @t53 (not @t57)))) % 34.43/34.62 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p71) :args (@t53 @t58 (@list @t42 @t57))) % 34.43/34.62 (step @p81 :rule cnf_equiv_pos1 :args (@t56)) % 34.43/34.62 (step @p82 :rule reordering :premises (@p81) :args ((or (not @t53) @t51 (not @t56)))) % 34.43/34.62 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p67) :args (@t51 @t58 (@list @t53 @t56))) % 34.43/34.62 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t37))) % 34.43/34.62 (step @p85 :rule cnf_equiv_pos1 :args (@t59)) % 34.43/34.62 (step @p86 :rule reordering :premises (@p85) :args ((or @t41 @t47 (not @t59)))) % 34.43/34.62 (step @p87 false :rule chain_m_resolution :premises (@p86 @p84 @p46 @p37) :args (false (@list false true false) (@list @t59 @t47 @t38))) % 34.43/34.62 ) % 34.43/34.62 % SZS output end Proof % 34.43/34.62 % cvc5 exiting %------------------------------------------------------------------------------