%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET928+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:49:00 AM UTC 2026 % Result : Theorem 0.34s 0.57s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET928+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:17:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.24/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.57 % SZS status Theorem % 0.34/0.57 % SZS output start Proof % 0.34/0.57 ( % 0.34/0.57 (declare-sort $$unsorted 0) % 0.34/0.57 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.34/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.34/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.34/0.57 (define @t3 () (tptp.in @t1 @t2)) % 0.34/0.57 (define @t4 () (@list @t1 @t2)) % 0.34/0.57 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 0.34/0.57 (define @t6 () (tptp.empty @t1)) % 0.34/0.57 (define @t7 () (@list @t1)) % 0.34/0.57 (define @t8 () (tptp.disjoint @t1 @t2)) % 0.34/0.57 (define @t9 () (@var "C" $$unsorted)) % 0.34/0.57 (define @t10 () (tptp.in @t1 @t9)) % 0.34/0.57 (define @t11 () (tptp.disjoint @t5 @t9)) % 0.34/0.57 (define @t12 () (@list @t1 @t2 @t9)) % 0.34/0.57 (define @t13 () (forall @t12 (not (and @t11 @t10)))) % 0.34/0.57 (define @t14 () (tptp.disjoint (tptp.unordered_pair @t1 @t9) @t2)) % 0.34/0.57 (define @t15 () (not @t14)) % 0.34/0.57 (define @t16 () (tptp.in @t9 @t2)) % 0.34/0.57 (define @t17 () (not @t16)) % 0.34/0.57 (define @t18 () (not @t3)) % 0.34/0.57 (define @t19 () (forall @t12 (not (and @t18 @t17 @t15)))) % 0.34/0.57 (define @t20 () (not @t10)) % 0.34/0.57 (define @t21 () (and @t20 (not (tptp.in @t2 @t9)))) % 0.34/0.57 (define @t22 () (tptp.set_difference @t5 @t9)) % 0.34/0.57 (define @t23 () (= (= @t22 @t5) @t21)) % 0.34/0.57 (define @t24 () (forall @t12 @t23)) % 0.34/0.57 (define @t25 () (not @t24)) % 0.34/0.57 (define @t26 () (tptp.set_difference @t1 @t2)) % 0.34/0.57 (define @t27 () (= @t8 (= @t26 @t1))) % 0.34/0.57 (define @t28 () (forall @t4 @t27)) % 0.34/0.57 (define @t29 () (= @t5 @t22)) % 0.34/0.57 (define @t30 () (forall @t12 (= @t21 @t29))) % 0.34/0.57 (define @t31 () (@quantifiers_skolemize @t30 2)) % 0.34/0.57 (define @t32 () (@quantifiers_skolemize @t30 1)) % 0.34/0.57 (define @t33 () (@quantifiers_skolemize @t30 0)) % 0.34/0.57 (define @t34 () (tptp.unordered_pair @t33 @t32)) % 0.34/0.57 (define @t35 () (tptp.disjoint @t34 @t31)) % 0.34/0.57 (define @t36 () (= @t34 (tptp.set_difference @t34 @t31))) % 0.34/0.57 (define @t37 () (forall @t4 (= @t8 (= @t1 @t26)))) % 0.34/0.57 (define @t38 () (= @t35 @t36)) % 0.34/0.57 (define @t39 () (= @t36 @t35)) % 0.34/0.57 (define @t40 () (@list false)) % 0.34/0.57 (define @t41 () (tptp.in @t32 @t31)) % 0.34/0.57 (define @t42 () (not @t41)) % 0.34/0.57 (define @t43 () (tptp.in @t33 @t31)) % 0.34/0.57 (define @t44 () (not @t43)) % 0.34/0.57 (define @t45 () (and @t44 @t42)) % 0.34/0.57 (define @t46 () (= @t45 @t36)) % 0.34/0.57 (define @t47 () (not @t39)) % 0.34/0.57 (define @t48 () (not @t35)) % 0.34/0.57 (define @t49 () (not @t45)) % 0.34/0.57 (define @t50 () (not @t15)) % 0.34/0.57 (define @t51 () (not @t17)) % 0.34/0.57 (define @t52 () (not @t18)) % 0.34/0.57 (define @t53 () (or @t52 @t51 @t50)) % 0.34/0.57 (define @t54 () (or @t43 @t41 @t35)) % 0.34/0.57 (define @t55 () (tptp.unordered_pair @t32 @t33)) % 0.34/0.57 (define @t56 () (tptp.disjoint @t55 @t31)) % 0.34/0.57 (define @t57 () (not @t56)) % 0.34/0.57 (define @t58 () (or @t57 @t42)) % 0.34/0.57 (define @t59 () (= @t34 @t55)) % 0.34/0.57 (define @t60 () (and @t59 @t35)) % 0.34/0.57 (define @t61 () (@list false false)) % 0.34/0.57 (define @t62 () (or @t48 @t44)) % 0.34/0.57 (define @t63 () (not @t62)) % 0.34/0.57 (define @t64 () (forall @t12 (or (not @t11) @t20))) % 0.34/0.57 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.34/0.57 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 0.34/0.57 (assume @p3 (exists @t7 @t6)) % 0.34/0.57 (assume @p4 (exists @t7 (not @t6))) % 0.34/0.57 (assume @p5 (forall @t4 (=> @t8 (tptp.disjoint @t2 @t1)))) % 0.34/0.57 (assume @p6 @t13) % 0.34/0.57 (assume @p7 @t19) % 0.34/0.57 (assume @p8 @t25) % 0.34/0.57 (assume @p9 @t28) % 0.34/0.57 (assume @p10 true) % 0.34/0.57 (step @p11 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.34/0.57 (step @p12 :rule cong :premises (@p11) :args (@t13)) % 0.34/0.57 (step @p13 :rule eq_resolve :premises (@p6 @p12)) % 0.34/0.57 (step @p14 :rule eq-symm :args (@t26 @t1)) % 0.34/0.57 (step @p15 :rule refl :args (@t8)) % 0.34/0.57 (step @p16 :rule cong :premises (@p15 @p14) :args (@t27)) % 0.34/0.57 (step @p17 :rule cong :premises (@p16) :args (@t28)) % 0.34/0.57 (step @p18 :rule eq_resolve :premises (@p9 @p17)) % 0.34/0.57 (step @p19 :rule eq-symm :args (@t35 @t36)) % 0.34/0.57 (step @p20 :rule refl :args (@t37)) % 0.34/0.57 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t37 @t38))) % 0.34/0.57 (assume-push @p112 @t37) % 0.34/0.57 (step @p23 :rule instantiate :premises (@p18) :args ((@list @t34 @t31))) % 0.34/0.57 (step-pop @p113 :rule scope :premises (@p23)) % 0.34/0.57 (step @p24 :rule process_scope :premises (@p113) :args (@t38)) % 0.34/0.57 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.34/0.57 (step @p27 :rule implies_elim :premises (@p26)) % 0.34/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p18) :args (@t39 @t40 (@list @t37))) % 0.34/0.57 (step @p29 :rule eq-symm :args (@t29 @t21)) % 0.34/0.57 (step @p30 :rule refl :args (@t21)) % 0.34/0.57 (step @p31 :rule eq-symm :args (@t22 @t5)) % 0.34/0.57 (step @p32 :rule cong :premises (@p31 @p30) :args (@t23)) % 0.34/0.57 (step @p33 :rule trans :premises (@p32 @p29)) % 0.34/0.57 (step @p34 :rule cong :premises (@p33) :args (@t24)) % 0.34/0.57 (step @p35 :rule cong :premises (@p34) :args (@t25)) % 0.34/0.57 (step @p36 :rule eq_resolve :premises (@p8 @p35)) % 0.34/0.57 (step @p37 :rule skolemize :premises (@p36)) % 0.34/0.57 (step @p38 :rule cnf_equiv_neg1 :args (@t46)) % 0.34/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t45 @t36 @t46))) % 0.34/0.57 (step @p40 :rule cnf_equiv_pos2 :args (@t39)) % 0.34/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t36 @t48 @t47))) % 0.34/0.57 (step @p42 :rule cnf_and_pos :args (@t45 1)) % 0.34/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t42 @t49))) % 0.34/0.57 (step @p44 :rule bool-double-not-elim :args (@t14)) % 0.34/0.57 (step @p45 :rule bool-double-not-elim :args (@t16)) % 0.34/0.57 (step @p46 :rule bool-double-not-elim :args (@t3)) % 0.34/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t53)) % 0.34/0.57 (step @p48 :rule aci_norm :args ((= (or @t52 (or @t51 @t50)) @t53))) % 0.34/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.34/0.57 (step @p50 :rule bool-and-de-morgan :args (@t17 @t15 true)) % 0.34/0.57 (step @p51 :rule refl :args (@t52)) % 0.34/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t52 (not (and @t17 @t15))))) % 0.34/0.57 (step @p53 :rule bool-and-de-morgan :args (@t18 @t17 (and @t15))) % 0.34/0.57 (step @p54 :rule trans :premises (@p53 @p52)) % 0.34/0.57 (step @p55 :rule trans :premises (@p54 @p49)) % 0.34/0.57 (step @p56 :rule cong :premises (@p55) :args (@t19)) % 0.34/0.57 (step @p57 :rule eq_resolve :premises (@p7 @p56)) % 0.34/0.57 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t33 @t31 @t32))) % 0.34/0.57 (step @p59 :rule cnf_or_pos :args (@t54)) % 0.34/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t43 @t41 @t35 (not @t54)))) % 0.34/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p43 @p41 @p28 @p39 @p37) :args ((or @t43 @t36) (@list false true true false false true) (@list @t54 @t41 @t35 @t39 @t45 @t46))) % 0.34/0.57 (step @p62 :rule cnf_equiv_neg2 :args (@t46)) % 0.34/0.57 (step @p63 :rule cnf_equiv_pos1 :args (@t39)) % 0.34/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or (not @t36) @t35 @t47))) % 0.34/0.57 (step @p65 :rule bool-double-not-elim :args (@t41)) % 0.34/0.57 (step @p66 :rule bool-double-not-elim :args (@t43)) % 0.34/0.57 (step @p67 :rule refl :args (@t45)) % 0.34/0.57 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args ((or @t45 (not @t44) (not @t42)))) % 0.34/0.57 (step @p69 :rule cnf_and_neg :args (@t45)) % 0.34/0.57 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.34/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t43 @t41 @t45))) % 0.34/0.57 (step @p72 :rule instantiate :premises (@p13) :args ((@list @t32 @t33 @t31))) % 0.34/0.57 (step @p73 :rule cnf_or_pos :args (@t58)) % 0.34/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t42 @t57 (not @t58)))) % 0.34/0.57 (step @p75 :rule instantiate :premises (@p2) :args ((@list @t33 @t32))) % 0.34/0.57 (assume-push @p114 @t59) % 0.34/0.57 (assume-push @p115 @t35) % 0.34/0.57 (assume-push @p116 @t35) % 0.34/0.57 (assume-push @p117 @t59) % 0.34/0.57 (step @p80 :rule true_intro :premises (@p115)) % 0.34/0.57 (step @p81 :rule refl :args (@t31)) % 0.34/0.57 (step @p82 :rule symm :premises (@p75)) % 0.34/0.57 (step @p83 :rule cong :premises (@p82 @p81) :args (@t56)) % 0.34/0.57 (step @p84 :rule trans :premises (@p83 @p80)) % 0.34/0.57 (step @p85 :rule true_elim :premises (@p84)) % 0.34/0.57 (step-pop @p118 :rule scope :premises (@p85)) % 0.34/0.57 (step-pop @p119 :rule scope :premises (@p118)) % 0.34/0.57 (step @p86 :rule process_scope :premises (@p119) :args (@t56)) % 0.34/0.57 (step @p89 :rule and_intro :premises (@p115 @p75)) % 0.34/0.57 (step @p90 :rule modus_ponens :premises (@p89 @p86)) % 0.34/0.57 (step-pop @p120 :rule scope :premises (@p90)) % 0.34/0.57 (step-pop @p121 :rule scope :premises (@p120)) % 0.34/0.57 (step @p91 :rule process_scope :premises (@p121) :args (@t56)) % 0.34/0.57 (step @p94 :rule implies_elim :premises (@p91)) % 0.34/0.57 (step @p95 :rule cnf_and_neg :args (@t60)) % 0.34/0.57 (step @p96 :rule resolution :premises (@p95 @p94) :args (true @t60)) % 0.34/0.57 (step @p97 :rule chain_m_resolution :premises (@p96 @p75 @p74 @p72 @p71 @p64 @p28 @p62 @p37 @p61) :args (@t43 (@list false true false false false false true true false) (@list @t59 @t56 @t58 @t41 @t35 @t39 @t45 @t46 @t36))) % 0.34/0.57 (step @p98 :rule cnf_and_pos :args (@t45 0)) % 0.34/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t44 @t49))) % 0.34/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t49 @t40 (@list @t43))) % 0.34/0.57 (step @p101 :rule chain_m_resolution :premises (@p39 @p100 @p37) :args (@t36 (@list true true) (@list @t45 @t46))) % 0.34/0.57 (step @p102 :rule chain_m_resolution :premises (@p64 @p101 @p28) :args (@t35 @t61 (@list @t36 @t39))) % 0.34/0.57 (step @p103 :rule cnf_or_pos :args (@t62)) % 0.34/0.57 (step @p104 :rule reordering :premises (@p103) :args ((or @t44 @t48 @t63))) % 0.34/0.57 (step @p105 :rule chain_m_resolution :premises (@p104 @p97 @p102) :args (@t63 @t61 (@list @t43 @t35))) % 0.34/0.57 (assume-push @p122 @t64) % 0.34/0.57 (step @p107 :rule instantiate :premises (@p13) :args ((@list @t33 @t32 @t31))) % 0.34/0.57 (step-pop @p123 :rule scope :premises (@p107)) % 0.34/0.57 (step @p108 :rule process_scope :premises (@p123) :args (@t62)) % 0.34/0.57 (step @p110 :rule implies_elim :premises (@p108)) % 0.34/0.57 (step @p111 false :rule chain_m_resolution :premises (@p110 @p105 @p13) :args (false (@list true false) (@list @t62 @t64))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------