%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU126+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 : n005.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 08:50:38 AM UTC 2026 % Result : Theorem 27.57s 27.81s % Output : Proof 27.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU126+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n005.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:30:33 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 27.57/27.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.57/27.81 --- Run --no-e-matching --full-saturate-quant at 6... % 27.57/27.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.57/27.81 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.57/27.81 % SZS status Theorem % 27.57/27.81 % SZS output start Proof % 27.57/27.81 ( % 27.57/27.81 (declare-sort $$unsorted 0) % 27.57/27.81 (declare-const tptp.empty_set $$unsorted) % 27.57/27.81 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 27.57/27.81 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 27.57/27.81 (declare-const tptp.empty (-> $$unsorted Bool)) % 27.57/27.81 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 27.57/27.81 (define @t1 () (@var "A" $$unsorted)) % 27.57/27.81 (define @t2 () (@var "B" $$unsorted)) % 27.57/27.81 (define @t3 () (tptp.in @t1 @t2)) % 27.57/27.81 (define @t4 () (@list @t1 @t2)) % 27.57/27.81 (define @t5 () (tptp.set_union2 @t2 @t1)) % 27.57/27.81 (define @t6 () (tptp.set_union2 @t1 @t2)) % 27.57/27.81 (define @t7 () (tptp.subset @t1 @t2)) % 27.57/27.81 (define @t8 () (= @t1 @t2)) % 27.57/27.81 (define @t9 () (@var "D" $$unsorted)) % 27.57/27.81 (define @t10 () (@var "C" $$unsorted)) % 27.57/27.81 (define @t11 () (@list @t9)) % 27.57/27.81 (define @t12 () (forall @t11 (= (tptp.in @t9 @t10) (or (tptp.in @t9 @t1) (tptp.in @t9 @t2))))) % 27.57/27.81 (define @t13 () (= (= @t10 @t6) @t12)) % 27.57/27.81 (define @t14 () (@list @t1 @t2 @t10)) % 27.57/27.81 (define @t15 () (forall @t14 @t13)) % 27.57/27.81 (define @t16 () (tptp.in @t10 @t2)) % 27.57/27.81 (define @t17 () (tptp.in @t10 @t1)) % 27.57/27.81 (define @t18 () (@list @t10)) % 27.57/27.81 (define @t19 () (forall @t18 (=> @t17 @t16))) % 27.57/27.81 (define @t20 () (= @t7 @t19)) % 27.57/27.81 (define @t21 () (forall @t4 @t20)) % 27.57/27.81 (define @t22 () (tptp.empty @t1)) % 27.57/27.81 (define @t23 () (not @t22)) % 27.57/27.81 (define @t24 () (@list @t1)) % 27.57/27.81 (define @t25 () (=> @t7 (= @t6 @t2))) % 27.57/27.81 (define @t26 () (forall @t4 @t25)) % 27.57/27.81 (define @t27 () (not @t26)) % 27.57/27.81 (define @t28 () (tptp.empty @t2)) % 27.57/27.81 (define @t29 () (= @t2 @t6)) % 27.57/27.81 (define @t30 () (forall @t4 (or (not @t7) @t29))) % 27.57/27.81 (define @t31 () (@quantifiers_skolemize @t30 1)) % 27.57/27.81 (define @t32 () (@quantifiers_skolemize @t30 0)) % 27.57/27.81 (define @t33 () (tptp.subset @t32 @t31)) % 27.57/27.81 (define @t34 () (tptp.set_union2 @t32 @t31)) % 27.57/27.81 (define @t35 () (= @t31 @t34)) % 27.57/27.81 (define @t36 () (not @t33)) % 27.57/27.81 (define @t37 () (or @t36 @t35)) % 27.57/27.81 (define @t38 () (@list true)) % 27.57/27.81 (define @t39 () (@list @t37)) % 27.57/27.81 (define @t40 () (forall @t18 (or (not (tptp.in @t10 @t32)) (tptp.in @t10 @t31)))) % 27.57/27.81 (define @t41 () (= @t33 @t40)) % 27.57/27.81 (define @t42 () (= @t6 @t10)) % 27.57/27.81 (define @t43 () (tptp.in @t9 @t31)) % 27.57/27.81 (define @t44 () (forall @t11 (= @t43 (or (tptp.in @t9 @t32) @t43)))) % 27.57/27.81 (define @t45 () (= @t34 @t31)) % 27.57/27.81 (define @t46 () (forall @t14 (= @t12 @t42))) % 27.57/27.81 (define @t47 () (= @t44 @t45)) % 27.57/27.81 (define @t48 () (= @t35 @t44)) % 27.57/27.81 (define @t49 () (not @t44)) % 27.57/27.81 (define @t50 () (@list true false)) % 27.57/27.81 (define @t51 () (@quantifiers_skolemize @t44 0)) % 27.57/27.81 (define @t52 () (tptp.in @t51 @t31)) % 27.57/27.81 (define @t53 () (tptp.in @t51 @t32)) % 27.57/27.81 (define @t54 () (or @t53 @t52)) % 27.57/27.81 (define @t55 () (= @t52 @t54)) % 27.57/27.81 (define @t56 () (not @t53)) % 27.57/27.81 (define @t57 () (or @t56 @t52)) % 27.57/27.81 (define @t58 () (not @t57)) % 27.57/27.81 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 27.57/27.81 (assume @p2 (forall @t4 (= @t6 @t5))) % 27.57/27.81 (assume @p3 (forall @t4 (= @t8 (and @t7 (tptp.subset @t2 @t1))))) % 27.57/27.81 (assume @p4 @t15) % 27.57/27.81 (assume @p5 @t21) % 27.57/27.81 (assume @p6 true) % 27.57/27.81 (assume @p7 (tptp.empty tptp.empty_set)) % 27.57/27.81 (assume @p8 (forall @t4 (=> @t23 (not (tptp.empty @t6))))) % 27.57/27.81 (assume @p9 (forall @t4 (=> @t23 (not (tptp.empty @t5))))) % 27.57/27.81 (assume @p10 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 27.57/27.81 (assume @p11 (exists @t24 @t22)) % 27.57/27.81 (assume @p12 (exists @t24 @t23)) % 27.57/27.81 (assume @p13 (forall @t4 (tptp.subset @t1 @t1))) % 27.57/27.81 (assume @p14 @t27) % 27.57/27.81 (assume @p15 (forall @t24 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 27.57/27.81 (assume @p16 (forall @t24 (=> @t22 (= @t1 tptp.empty_set)))) % 27.57/27.81 (assume @p17 (forall @t4 (not (and @t3 @t28)))) % 27.57/27.81 (assume @p18 (forall @t4 (not (and @t22 (not @t8) @t28)))) % 27.57/27.81 (step @p19 :rule bool-impl-elim :args (@t17 @t16)) % 27.57/27.81 (step @p20 :rule cong :premises (@p19) :args (@t19)) % 27.57/27.81 (step @p21 :rule refl :args (@t7)) % 27.57/27.81 (step @p22 :rule cong :premises (@p21 @p20) :args (@t20)) % 27.57/27.81 (step @p23 :rule cong :premises (@p22) :args (@t21)) % 27.57/27.81 (step @p24 :rule eq_resolve :premises (@p5 @p23)) % 27.57/27.81 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t32 @t31))) % 27.57/27.81 (step @p26 :rule bool-impl-elim :args (@t7 @t29)) % 27.57/27.81 (step @p27 :rule cong :premises (@p26) :args ((forall @t4 (=> @t7 @t29)))) % 27.57/27.81 (step @p28 :rule eq-symm :args (@t6 @t2)) % 27.57/27.81 (step @p29 :rule cong :premises (@p21 @p28) :args (@t25)) % 27.57/27.81 (step @p30 :rule cong :premises (@p29) :args (@t26)) % 27.57/27.81 (step @p31 :rule trans :premises (@p30 @p27)) % 27.57/27.81 (step @p32 :rule cong :premises (@p31) :args (@t27)) % 27.57/27.81 (step @p33 :rule eq_resolve :premises (@p14 @p32)) % 27.57/27.81 (step @p34 :rule skolemize :premises (@p33)) % 27.57/27.81 (step @p35 :rule bool-double-not-elim :args (@t33)) % 27.57/27.81 (step @p36 :rule refl :args (@t37)) % 27.57/27.81 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t37 (not @t36)))) % 27.57/27.81 (step @p38 :rule cnf_or_neg :args (@t37 0)) % 27.57/27.81 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 27.57/27.81 (step @p40 :rule reordering :premises (@p39) :args ((or @t33 @t37))) % 27.57/27.81 (step @p41 :rule chain_m_resolution :premises (@p40 @p34) :args (@t33 @t38 @t39)) % 27.57/27.81 (step @p42 :rule cnf_equiv_pos1 :args (@t41)) % 27.57/27.81 (step @p43 :rule reordering :premises (@p42) :args ((or @t36 @t40 (not @t41)))) % 27.57/27.81 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p25) :args (@t40 (@list false false) (@list @t33 @t41))) % 27.57/27.81 (step @p45 :rule eq-symm :args (@t42 @t12)) % 27.57/27.81 (step @p46 :rule refl :args (@t12)) % 27.57/27.81 (step @p47 :rule eq-symm :args (@t10 @t6)) % 27.57/27.81 (step @p48 :rule cong :premises (@p47 @p46) :args (@t13)) % 27.57/27.81 (step @p49 :rule trans :premises (@p48 @p45)) % 27.57/27.81 (step @p50 :rule cong :premises (@p49) :args (@t15)) % 27.57/27.81 (step @p51 :rule eq_resolve :premises (@p4 @p50)) % 27.57/27.81 (step @p52 :rule refl :args (@t44)) % 27.57/27.81 (step @p53 :rule eq-symm :args (@t34 @t31)) % 27.57/27.81 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t45 @t44))) % 27.57/27.81 (step @p55 :rule eq-symm :args (@t44 @t45)) % 27.57/27.81 (step @p56 :rule trans :premises (@p55 @p54)) % 27.57/27.81 (step @p57 :rule refl :args (@t46)) % 27.57/27.81 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t46 @t47))) % 27.57/27.81 (assume-push @p90 @t46) % 27.57/27.81 (step @p60 :rule instantiate :premises (@p51) :args ((@list @t32 @t31 @t31))) % 27.57/27.81 (step-pop @p91 :rule scope :premises (@p60)) % 27.57/27.81 (step @p61 :rule process_scope :premises (@p91) :args (@t47)) % 27.57/27.81 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 27.57/27.81 (step @p64 :rule implies_elim :premises (@p63)) % 27.57/27.81 (step @p65 :rule chain_m_resolution :premises (@p64 @p51) :args (@t48 (@list false) (@list @t46))) % 27.57/27.81 (step @p66 :rule cnf_or_neg :args (@t37 1)) % 27.57/27.81 (step @p67 :rule chain_m_resolution :premises (@p66 @p34) :args ((not @t35) @t38 @t39)) % 27.57/27.81 (step @p68 :rule cnf_equiv_pos2 :args (@t48)) % 27.57/27.81 (step @p69 :rule reordering :premises (@p68) :args ((or @t35 @t49 (not @t48)))) % 27.57/27.81 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p65) :args (@t49 @t50 (@list @t35 @t48))) % 27.57/27.81 (step @p71 :rule skolemize :premises (@p70)) % 27.57/27.81 (step @p72 :rule cnf_or_neg :args (@t54 1)) % 27.57/27.81 (step @p73 :rule cnf_equiv_neg2 :args (@t55)) % 27.57/27.81 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p72) :args ((not @t52) @t50 (@list @t55 @t54))) % 27.57/27.81 (step @p75 :rule cnf_equiv_neg1 :args (@t55)) % 27.57/27.81 (step @p76 :rule reordering :premises (@p75) :args ((or @t52 @t54 @t55))) % 27.57/27.81 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p71) :args (@t54 (@list true true) (@list @t52 @t55))) % 27.57/27.81 (step @p78 :rule cnf_or_pos :args (@t54)) % 27.57/27.81 (step @p79 :rule reordering :premises (@p78) :args ((or @t52 @t53 (not @t54)))) % 27.57/27.81 (step @p80 :rule chain_m_resolution :premises (@p79 @p74 @p77) :args (@t53 @t50 (@list @t52 @t54))) % 27.57/27.81 (step @p81 :rule cnf_or_pos :args (@t57)) % 27.57/27.81 (step @p82 :rule reordering :premises (@p81) :args ((or @t52 @t56 @t58))) % 27.57/27.81 (step @p83 :rule chain_m_resolution :premises (@p82 @p74 @p80) :args (@t58 @t50 (@list @t52 @t53))) % 27.57/27.81 (assume-push @p92 @t40) % 27.57/27.81 (step @p85 :rule instantiate :premises (@p44) :args ((@list @t51))) % 27.57/27.81 (step-pop @p93 :rule scope :premises (@p85)) % 27.57/27.81 (step @p86 :rule process_scope :premises (@p93) :args (@t57)) % 27.57/27.81 (step @p88 :rule implies_elim :premises (@p86)) % 27.57/27.81 (step @p89 false :rule chain_m_resolution :premises (@p88 @p83 @p44) :args (false @t50 (@list @t57 @t40))) % 27.57/27.81 ) % 27.57/27.81 % SZS output end Proof % 27.57/27.81 % cvc5 exiting %------------------------------------------------------------------------------