%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU124+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 : n025.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 08:50:37 AM UTC 2026 % Result : Theorem 28.25s 28.48s % Output : Proof 28.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU124+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 % 0.17/0.35 % Computer : n025.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 16:30:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 28.25/28.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.25/28.48 --- Run --no-e-matching --full-saturate-quant at 6... % 28.25/28.48 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.25/28.48 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.25/28.48 % SZS status Theorem % 28.25/28.48 % SZS output start Proof % 28.25/28.48 ( % 28.25/28.48 (declare-sort $$unsorted 0) % 28.25/28.48 (declare-const tptp.empty (-> $$unsorted Bool)) % 28.25/28.48 (declare-const tptp.empty_set $$unsorted) % 28.25/28.48 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 28.25/28.48 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 28.25/28.48 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 28.25/28.48 (define @t1 () (@var "A" $$unsorted)) % 28.25/28.48 (define @t2 () (@var "B" $$unsorted)) % 28.25/28.48 (define @t3 () (tptp.in @t1 @t2)) % 28.25/28.48 (define @t4 () (@list @t1 @t2)) % 28.25/28.48 (define @t5 () (tptp.set_union2 @t2 @t1)) % 28.25/28.48 (define @t6 () (tptp.set_union2 @t1 @t2)) % 28.25/28.48 (define @t7 () (@var "D" $$unsorted)) % 28.25/28.48 (define @t8 () (@var "C" $$unsorted)) % 28.25/28.48 (define @t9 () (@list @t7)) % 28.25/28.48 (define @t10 () (forall @t9 (= (tptp.in @t7 @t8) (or (tptp.in @t7 @t1) (tptp.in @t7 @t2))))) % 28.25/28.48 (define @t11 () (= (= @t8 @t6) @t10)) % 28.25/28.48 (define @t12 () (@list @t1 @t2 @t8)) % 28.25/28.48 (define @t13 () (forall @t12 @t11)) % 28.25/28.48 (define @t14 () (tptp.in @t8 @t2)) % 28.25/28.48 (define @t15 () (tptp.in @t8 @t1)) % 28.25/28.48 (define @t16 () (@list @t8)) % 28.25/28.48 (define @t17 () (forall @t16 (=> @t15 @t14))) % 28.25/28.48 (define @t18 () (tptp.subset @t1 @t2)) % 28.25/28.48 (define @t19 () (= @t18 @t17)) % 28.25/28.48 (define @t20 () (forall @t4 @t19)) % 28.25/28.48 (define @t21 () (tptp.empty @t1)) % 28.25/28.48 (define @t22 () (not @t21)) % 28.25/28.48 (define @t23 () (@list @t1)) % 28.25/28.48 (define @t24 () (tptp.empty @t2)) % 28.25/28.48 (define @t25 () (forall @t4 (tptp.subset @t1 @t6))) % 28.25/28.48 (define @t26 () (@quantifiers_skolemize @t25 1)) % 28.25/28.48 (define @t27 () (@quantifiers_skolemize @t25 0)) % 28.25/28.48 (define @t28 () (tptp.set_union2 @t27 @t26)) % 28.25/28.48 (define @t29 () (forall @t16 (or (not (tptp.in @t8 @t27)) (tptp.in @t8 @t28)))) % 28.25/28.48 (define @t30 () (tptp.subset @t27 @t28)) % 28.25/28.48 (define @t31 () (= @t30 @t29)) % 28.25/28.48 (define @t32 () (not @t29)) % 28.25/28.48 (define @t33 () (@quantifiers_skolemize @t29 0)) % 28.25/28.48 (define @t34 () (tptp.in @t33 @t28)) % 28.25/28.48 (define @t35 () (tptp.in @t33 @t27)) % 28.25/28.48 (define @t36 () (not @t35)) % 28.25/28.48 (define @t37 () (or @t36 @t34)) % 28.25/28.48 (define @t38 () (@list true)) % 28.25/28.48 (define @t39 () (@list @t37)) % 28.25/28.48 (define @t40 () (or (tptp.in @t33 @t26) @t35)) % 28.25/28.48 (define @t41 () (@list false)) % 28.25/28.48 (define @t42 () (= @t6 @t8)) % 28.25/28.48 (define @t43 () (tptp.in @t7 @t28)) % 28.25/28.48 (define @t44 () (or (tptp.in @t7 @t26) (tptp.in @t7 @t27))) % 28.25/28.48 (define @t45 () (forall @t9 (= @t43 @t44))) % 28.25/28.48 (define @t46 () (tptp.set_union2 @t26 @t27)) % 28.25/28.48 (define @t47 () (= @t46 @t28)) % 28.25/28.48 (define @t48 () (forall @t12 (= @t10 @t42))) % 28.25/28.48 (define @t49 () (= @t45 @t47)) % 28.25/28.48 (define @t50 () (forall @t9 (= @t44 @t43))) % 28.25/28.48 (define @t51 () (= @t28 @t46)) % 28.25/28.48 (define @t52 () (= @t51 @t50)) % 28.25/28.48 (define @t53 () (= @t40 @t34)) % 28.25/28.48 (define @t54 () (= @t34 @t40)) % 28.25/28.48 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 28.25/28.48 (assume @p2 (forall @t4 (= @t6 @t5))) % 28.25/28.48 (assume @p3 @t13) % 28.25/28.48 (assume @p4 @t20) % 28.25/28.48 (assume @p5 true) % 28.25/28.48 (assume @p6 (tptp.empty tptp.empty_set)) % 28.25/28.48 (assume @p7 (forall @t4 (=> @t22 (not (tptp.empty @t6))))) % 28.25/28.48 (assume @p8 (forall @t4 (=> @t22 (not (tptp.empty @t5))))) % 28.25/28.48 (assume @p9 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 28.25/28.48 (assume @p10 (exists @t23 @t21)) % 28.25/28.48 (assume @p11 (exists @t23 @t22)) % 28.25/28.48 (assume @p12 (forall @t4 (tptp.subset @t1 @t1))) % 28.25/28.48 (assume @p13 (forall @t23 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 28.25/28.48 (assume @p14 (forall @t23 (=> @t21 (= @t1 tptp.empty_set)))) % 28.25/28.48 (assume @p15 (forall @t4 (not (and @t3 @t24)))) % 28.25/28.48 (assume @p16 (not @t25)) % 28.25/28.48 (assume @p17 (forall @t4 (not (and @t21 (not (= @t1 @t2)) @t24)))) % 28.25/28.48 (step @p18 :rule bool-impl-elim :args (@t15 @t14)) % 28.25/28.48 (step @p19 :rule cong :premises (@p18) :args (@t17)) % 28.25/28.48 (step @p20 :rule refl :args (@t18)) % 28.25/28.48 (step @p21 :rule cong :premises (@p20 @p19) :args (@t19)) % 28.25/28.48 (step @p22 :rule cong :premises (@p21) :args (@t20)) % 28.25/28.48 (step @p23 :rule eq_resolve :premises (@p4 @p22)) % 28.25/28.48 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t27 @t28))) % 28.25/28.48 (step @p25 :rule skolemize :premises (@p16)) % 28.25/28.48 (step @p26 :rule cnf_equiv_pos2 :args (@t31)) % 28.25/28.48 (step @p27 :rule reordering :premises (@p26) :args ((or @t30 @t32 (not @t31)))) % 28.25/28.48 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p24) :args (@t32 (@list true false) (@list @t30 @t31))) % 28.25/28.48 (step @p29 :rule skolemize :premises (@p28)) % 28.25/28.48 (step @p30 :rule cnf_or_neg :args (@t37 1)) % 28.25/28.48 (step @p31 :rule chain_m_resolution :premises (@p30 @p29) :args ((not @t34) @t38 @t39)) % 28.25/28.48 (step @p32 :rule bool-double-not-elim :args (@t35)) % 28.25/28.48 (step @p33 :rule refl :args (@t37)) % 28.25/28.48 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t37 (not @t36)))) % 28.25/28.48 (step @p35 :rule cnf_or_neg :args (@t37 0)) % 28.25/28.48 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 28.25/28.48 (step @p37 :rule reordering :premises (@p36) :args ((or @t35 @t37))) % 28.25/28.48 (step @p38 :rule chain_m_resolution :premises (@p37 @p29) :args (@t35 @t38 @t39)) % 28.25/28.48 (step @p39 :rule cnf_or_neg :args (@t40 1)) % 28.25/28.48 (step @p40 :rule reordering :premises (@p39) :args ((or @t36 @t40))) % 28.25/28.48 (step @p41 :rule chain_m_resolution :premises (@p40 @p38) :args (@t40 @t41 (@list @t35))) % 28.25/28.48 (step @p42 :rule eq-symm :args (@t42 @t10)) % 28.25/28.48 (step @p43 :rule refl :args (@t10)) % 28.25/28.48 (step @p44 :rule eq-symm :args (@t8 @t6)) % 28.25/28.48 (step @p45 :rule cong :premises (@p44 @p43) :args (@t11)) % 28.25/28.48 (step @p46 :rule trans :premises (@p45 @p42)) % 28.25/28.48 (step @p47 :rule cong :premises (@p46) :args (@t13)) % 28.25/28.48 (step @p48 :rule eq_resolve :premises (@p3 @p47)) % 28.25/28.48 (step @p49 :rule eq-symm :args (@t43 @t44)) % 28.25/28.48 (step @p50 :rule cong :premises (@p49) :args (@t45)) % 28.25/28.48 (step @p51 :rule eq-symm :args (@t46 @t28)) % 28.25/28.48 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t47 @t45))) % 28.25/28.48 (step @p53 :rule eq-symm :args (@t45 @t47)) % 28.25/28.48 (step @p54 :rule trans :premises (@p53 @p52)) % 28.25/28.48 (step @p55 :rule refl :args (@t48)) % 28.25/28.48 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t48 @t49))) % 28.25/28.48 (assume-push @p81 @t48) % 28.25/28.48 (step @p58 :rule instantiate :premises (@p48) :args ((@list @t26 @t27 @t28))) % 28.25/28.48 (step-pop @p82 :rule scope :premises (@p58)) % 28.25/28.48 (step @p59 :rule process_scope :premises (@p82) :args (@t49)) % 28.25/28.48 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 28.25/28.48 (step @p62 :rule implies_elim :premises (@p61)) % 28.25/28.48 (step @p63 :rule chain_m_resolution :premises (@p62 @p48) :args (@t52 @t41 (@list @t48))) % 28.25/28.48 (step @p64 :rule instantiate :premises (@p2) :args ((@list @t27 @t26))) % 28.25/28.48 (step @p65 :rule cnf_equiv_pos1 :args (@t52)) % 28.25/28.48 (step @p66 :rule reordering :premises (@p65) :args ((or (not @t51) @t50 (not @t52)))) % 28.25/28.48 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p63) :args (@t50 (@list false false) (@list @t51 @t52))) % 28.25/28.48 (step @p68 :rule eq-symm :args (@t40 @t34)) % 28.25/28.48 (step @p69 :rule refl :args (@t50)) % 28.25/28.48 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t50 @t53))) % 28.25/28.48 (assume-push @p83 @t50) % 28.25/28.48 (step @p72 :rule instantiate :premises (@p67) :args ((@list @t33))) % 28.25/28.48 (step-pop @p84 :rule scope :premises (@p72)) % 28.25/28.48 (step @p73 :rule process_scope :premises (@p84) :args (@t53)) % 28.25/28.48 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 28.25/28.48 (step @p76 :rule implies_elim :premises (@p75)) % 28.25/28.48 (step @p77 :rule chain_m_resolution :premises (@p76 @p67) :args (@t54 @t41 (@list @t50))) % 28.25/28.48 (step @p78 :rule cnf_equiv_pos2 :args (@t54)) % 28.25/28.48 (step @p79 :rule reordering :premises (@p78) :args ((or @t34 (not @t40) (not @t54)))) % 28.25/28.48 (step @p80 false :rule chain_m_resolution :premises (@p79 @p77 @p41 @p31) :args (false (@list false false true) (@list @t54 @t40 @t34))) % 28.25/28.48 ) % 28.25/28.48 % SZS output end Proof % 28.25/28.49 % cvc5 exiting %------------------------------------------------------------------------------