%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU129+2 : 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 : n018.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 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU129+2 : 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 : n018.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 16:31:05 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.empty_set $$unsorted) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t3 () (not (tptp.in @t2 @t1))) % 0.37/0.58 (define @t4 () (tptp.in @t1 @t2)) % 0.37/0.58 (define @t5 () (@list @t1 @t2)) % 0.37/0.58 (define @t6 () (tptp.set_union2 @t2 @t1)) % 0.37/0.58 (define @t7 () (tptp.set_union2 @t1 @t2)) % 0.37/0.58 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 0.37/0.58 (define @t9 () (tptp.subset @t1 @t2)) % 0.37/0.58 (define @t10 () (= @t1 @t2)) % 0.37/0.58 (define @t11 () (= @t1 tptp.empty_set)) % 0.37/0.58 (define @t12 () (@list @t1)) % 0.37/0.58 (define @t13 () (@var "D" $$unsorted)) % 0.37/0.58 (define @t14 () (tptp.in @t13 @t2)) % 0.37/0.58 (define @t15 () (tptp.in @t13 @t1)) % 0.37/0.58 (define @t16 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t17 () (tptp.in @t13 @t16)) % 0.37/0.58 (define @t18 () (@list @t13)) % 0.37/0.58 (define @t19 () (@list @t1 @t2 @t16)) % 0.37/0.58 (define @t20 () (tptp.in @t16 @t2)) % 0.37/0.58 (define @t21 () (tptp.in @t16 @t1)) % 0.37/0.58 (define @t22 () (@list @t16)) % 0.37/0.58 (define @t23 () (tptp.disjoint @t1 @t2)) % 0.37/0.58 (define @t24 () (tptp.empty @t1)) % 0.37/0.58 (define @t25 () (not @t24)) % 0.37/0.58 (define @t26 () (tptp.set_intersection2 @t2 @t16)) % 0.37/0.58 (define @t27 () (tptp.subset @t1 @t26)) % 0.37/0.58 (define @t28 () (tptp.subset @t1 @t16)) % 0.37/0.58 (define @t29 () (and @t9 @t28)) % 0.37/0.58 (define @t30 () (forall @t19 (=> @t29 @t27))) % 0.37/0.58 (define @t31 () (tptp.subset @t2 @t16)) % 0.37/0.58 (define @t32 () (and @t9 @t31)) % 0.37/0.58 (define @t33 () (forall @t19 (=> @t32 @t28))) % 0.37/0.58 (define @t34 () (tptp.subset (tptp.set_intersection2 @t1 @t16) @t26)) % 0.37/0.58 (define @t35 () (forall @t19 (=> @t9 @t34))) % 0.37/0.58 (define @t36 () (not @t35)) % 0.37/0.58 (define @t37 () (and @t21 @t20)) % 0.37/0.58 (define @t38 () (not @t23)) % 0.37/0.58 (define @t39 () (tptp.in @t16 @t8)) % 0.37/0.58 (define @t40 () (tptp.empty @t2)) % 0.37/0.58 (define @t41 () (not @t9)) % 0.37/0.58 (define @t42 () (forall @t19 (or @t41 @t34))) % 0.37/0.58 (define @t43 () (@quantifiers_skolemize @t42 2)) % 0.37/0.58 (define @t44 () (@quantifiers_skolemize @t42 0)) % 0.37/0.58 (define @t45 () (@list @t44 @t43)) % 0.37/0.58 (define @t46 () (not @t28)) % 0.37/0.58 (define @t47 () (@quantifiers_skolemize @t42 1)) % 0.37/0.58 (define @t48 () (tptp.set_intersection2 @t44 @t43)) % 0.37/0.58 (define @t49 () (not @t31)) % 0.37/0.58 (define @t50 () (tptp.subset @t44 @t47)) % 0.37/0.58 (define @t51 () (tptp.subset @t48 (tptp.set_intersection2 @t47 @t43))) % 0.37/0.58 (define @t52 () (not @t50)) % 0.37/0.58 (define @t53 () (or @t52 @t51)) % 0.37/0.58 (define @t54 () (@list true)) % 0.37/0.58 (define @t55 () (@list @t53)) % 0.37/0.58 (define @t56 () (tptp.subset @t48 @t47)) % 0.37/0.58 (define @t57 () (tptp.subset @t48 @t44)) % 0.37/0.58 (define @t58 () (not @t57)) % 0.37/0.58 (define @t59 () (or @t58 @t52 @t56)) % 0.37/0.58 (define @t60 () (tptp.subset @t48 @t43)) % 0.37/0.58 (define @t61 () (not @t60)) % 0.37/0.58 (define @t62 () (not @t56)) % 0.37/0.58 (define @t63 () (or @t62 @t61 @t51)) % 0.37/0.58 (define @t64 () (@list true false false)) % 0.37/0.58 (define @t65 () (tptp.set_intersection2 @t43 @t44)) % 0.37/0.58 (define @t66 () (= @t48 @t65)) % 0.37/0.58 (define @t67 () (tptp.subset @t65 @t43)) % 0.37/0.58 (define @t68 () (and @t66 @t67)) % 0.37/0.58 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.37/0.58 (assume @p2 (forall @t5 (= @t7 @t6))) % 0.37/0.58 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 0.37/0.58 (assume @p4 (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 0.37/0.58 (assume @p5 (forall @t12 (= @t11 (forall (@list @t2) @t3)))) % 0.37/0.58 (assume @p6 (forall @t19 (= (= @t16 @t7) (forall @t18 (= @t17 (or @t15 @t14)))))) % 0.37/0.58 (assume @p7 (forall @t5 (= @t9 (forall @t22 (=> @t21 @t20))))) % 0.37/0.58 (assume @p8 (forall @t19 (= (= @t16 @t8) (forall @t18 (= @t17 (and @t15 @t14)))))) % 0.37/0.58 (assume @p9 (forall @t5 (= @t23 (= @t8 tptp.empty_set)))) % 0.37/0.58 (assume @p10 true) % 0.37/0.58 (assume @p11 (tptp.empty tptp.empty_set)) % 0.37/0.58 (assume @p12 (forall @t5 (=> @t25 (not (tptp.empty @t7))))) % 0.37/0.58 (assume @p13 (forall @t5 (=> @t25 (not (tptp.empty @t6))))) % 0.37/0.58 (assume @p14 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.37/0.58 (assume @p15 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.37/0.58 (assume @p16 (exists @t12 @t24)) % 0.37/0.58 (assume @p17 (exists @t12 @t25)) % 0.37/0.58 (assume @p18 (forall @t5 (tptp.subset @t1 @t1))) % 0.37/0.58 (assume @p19 (forall @t5 (=> @t23 (tptp.disjoint @t2 @t1)))) % 0.37/0.58 (assume @p20 (forall @t5 (=> @t9 (= @t7 @t2)))) % 0.37/0.58 (assume @p21 (forall @t5 (tptp.subset @t8 @t1))) % 0.37/0.58 (assume @p22 @t30) % 0.37/0.58 (assume @p23 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.37/0.58 (assume @p24 @t33) % 0.37/0.58 (assume @p25 @t36) % 0.37/0.58 (assume @p26 (forall @t12 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.37/0.58 (assume @p27 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 0.37/0.58 (assume @p28 (forall @t5 (and (not (and @t38 (forall @t22 (not @t37)))) (not (and (exists @t22 @t37) @t23))))) % 0.37/0.58 (assume @p29 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t11))) % 0.37/0.58 (assume @p30 (forall @t5 (and (not (and @t38 (forall @t22 (not @t39)))) (not (and (exists @t22 @t39) @t23))))) % 0.37/0.58 (assume @p31 (forall @t12 (=> @t24 @t11))) % 0.37/0.58 (assume @p32 (forall @t5 (not (and @t4 @t40)))) % 0.37/0.58 (assume @p33 (forall @t5 (tptp.subset @t1 @t7))) % 0.37/0.58 (assume @p34 (forall @t5 (not (and @t24 (not @t10) @t40)))) % 0.37/0.58 (assume @p35 (forall @t19 (=> (and @t9 (tptp.subset @t16 @t2)) (tptp.subset (tptp.set_union2 @t1 @t16) @t2)))) % 0.37/0.58 (step @p36 :rule instantiate :premises (@p3) :args (@t45)) % 0.37/0.58 (step @p37 :rule instantiate :premises (@p21) :args ((@list @t43 @t44))) % 0.37/0.58 (step @p38 :rule aci_norm :args ((= (or (or @t41 @t46) @t27) (or @t41 @t46 @t27)))) % 0.37/0.58 (step @p39 :rule refl :args (@t27)) % 0.37/0.58 (step @p40 :rule bool-and-de-morgan :args (@t9 @t28 true)) % 0.37/0.58 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t29) @t27))) % 0.37/0.58 (step @p42 :rule trans :premises (@p41 @p38)) % 0.37/0.58 (step @p43 :rule bool-impl-elim :args (@t29 @t27)) % 0.37/0.58 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.58 (step @p45 :rule cong :premises (@p44) :args (@t30)) % 0.37/0.58 (step @p46 :rule eq_resolve :premises (@p22 @p45)) % 0.37/0.58 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t48 @t47 @t43))) % 0.37/0.58 (step @p48 :rule aci_norm :args ((= (or (or @t41 @t49) @t28) (or @t41 @t49 @t28)))) % 0.37/0.58 (step @p49 :rule refl :args (@t28)) % 0.37/0.58 (step @p50 :rule bool-and-de-morgan :args (@t9 @t31 true)) % 0.37/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or (not @t32) @t28))) % 0.37/0.58 (step @p52 :rule trans :premises (@p51 @p48)) % 0.37/0.58 (step @p53 :rule bool-impl-elim :args (@t32 @t28)) % 0.37/0.58 (step @p54 :rule trans :premises (@p53 @p52)) % 0.37/0.58 (step @p55 :rule cong :premises (@p54) :args (@t33)) % 0.37/0.58 (step @p56 :rule eq_resolve :premises (@p24 @p55)) % 0.37/0.58 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t48 @t44 @t47))) % 0.37/0.58 (step @p58 :rule instantiate :premises (@p21) :args (@t45)) % 0.37/0.58 (step @p59 :rule bool-impl-elim :args (@t9 @t34)) % 0.37/0.58 (step @p60 :rule cong :premises (@p59) :args (@t35)) % 0.37/0.58 (step @p61 :rule cong :premises (@p60) :args (@t36)) % 0.37/0.58 (step @p62 :rule eq_resolve :premises (@p25 @p61)) % 0.37/0.58 (step @p63 :rule skolemize :premises (@p62)) % 0.37/0.58 (step @p64 :rule bool-double-not-elim :args (@t50)) % 0.37/0.58 (step @p65 :rule refl :args (@t53)) % 0.37/0.58 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t53 (not @t52)))) % 0.37/0.58 (step @p67 :rule cnf_or_neg :args (@t53 0)) % 0.37/0.58 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.37/0.58 (step @p69 :rule reordering :premises (@p68) :args ((or @t50 @t53))) % 0.37/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t50 @t54 @t55)) % 0.37/0.58 (step @p71 :rule cnf_or_pos :args (@t59)) % 0.37/0.58 (step @p72 :rule reordering :premises (@p71) :args ((or @t52 @t56 @t58 (not @t59)))) % 0.37/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p58 @p57) :args (@t56 (@list false false false) (@list @t50 @t57 @t59))) % 0.37/0.58 (step @p74 :rule cnf_or_neg :args (@t53 1)) % 0.37/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p63) :args ((not @t51) @t54 @t55)) % 0.37/0.58 (step @p76 :rule cnf_or_pos :args (@t63)) % 0.37/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t51 @t62 @t61 (not @t63)))) % 0.37/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p73 @p47) :args (@t61 @t64 (@list @t51 @t56 @t63))) % 0.37/0.58 (assume-push @p94 @t66) % 0.37/0.58 (assume-push @p95 @t67) % 0.37/0.58 (step @p81 :rule true_intro :premises (@p37)) % 0.37/0.58 (step @p82 :rule refl :args (@t43)) % 0.37/0.58 (step @p83 :rule cong :premises (@p36 @p82) :args (@t60)) % 0.37/0.58 (step @p84 :rule trans :premises (@p83 @p81)) % 0.37/0.58 (step @p85 :rule true_elim :premises (@p84)) % 0.37/0.58 (step-pop @p96 :rule scope :premises (@p85)) % 0.37/0.58 (step-pop @p97 :rule scope :premises (@p96)) % 0.37/0.58 (step @p86 :rule process_scope :premises (@p97) :args (@t60)) % 0.37/0.58 (step @p89 :rule implies_elim :premises (@p86)) % 0.37/0.58 (step @p90 :rule cnf_and_neg :args (@t68)) % 0.37/0.58 (step @p91 :rule resolution :premises (@p90 @p89) :args (true @t68)) % 0.37/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or @t60 (not @t66) (not @t67)))) % 0.37/0.58 (step @p93 false :rule chain_m_resolution :premises (@p92 @p78 @p37 @p36) :args (false @t64 (@list @t60 @t67 @t66))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------