%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET885+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 : n019.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 08:48:55 AM UTC 2026 % Result : Theorem 15.50s 15.71s % Output : Proof 15.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET885+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:16:49 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.50/15.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.50/15.71 --- Run --no-e-matching --full-saturate-quant at 6... % 15.50/15.71 % SZS status Theorem % 15.50/15.71 % SZS output start Proof % 15.50/15.71 ( % 15.50/15.71 (declare-sort $$unsorted 0) % 15.50/15.71 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.50/15.71 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.50/15.71 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.50/15.71 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.50/15.71 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.50/15.71 (define @t1 () (@var "A" $$unsorted)) % 15.50/15.71 (define @t2 () (@var "B" $$unsorted)) % 15.50/15.71 (define @t3 () (@list @t1 @t2)) % 15.50/15.71 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.50/15.71 (define @t5 () (@var "C" $$unsorted)) % 15.50/15.71 (define @t6 () (tptp.in @t5 @t2)) % 15.50/15.71 (define @t7 () (= @t6 (= @t5 @t1))) % 15.50/15.71 (define @t8 () (@list @t5)) % 15.50/15.71 (define @t9 () (forall @t8 @t7)) % 15.50/15.71 (define @t10 () (= @t2 (tptp.singleton @t1))) % 15.50/15.71 (define @t11 () (= @t10 @t9)) % 15.50/15.71 (define @t12 () (forall @t3 @t11)) % 15.50/15.71 (define @t13 () (@var "D" $$unsorted)) % 15.50/15.71 (define @t14 () (or (= @t13 @t1) (= @t13 @t2))) % 15.50/15.71 (define @t15 () (tptp.in @t13 @t5)) % 15.50/15.71 (define @t16 () (= @t15 @t14)) % 15.50/15.71 (define @t17 () (@list @t13)) % 15.50/15.71 (define @t18 () (forall @t17 @t16)) % 15.50/15.71 (define @t19 () (= (= @t5 @t4) @t18)) % 15.50/15.71 (define @t20 () (@list @t1 @t2 @t5)) % 15.50/15.71 (define @t21 () (forall @t20 @t19)) % 15.50/15.71 (define @t22 () (tptp.in @t5 @t1)) % 15.50/15.71 (define @t23 () (forall @t8 (=> @t22 @t6))) % 15.50/15.71 (define @t24 () (tptp.subset @t1 @t2)) % 15.50/15.71 (define @t25 () (= @t24 @t23)) % 15.50/15.71 (define @t26 () (forall @t3 @t25)) % 15.50/15.71 (define @t27 () (tptp.empty @t1)) % 15.50/15.71 (define @t28 () (@list @t1)) % 15.50/15.71 (define @t29 () (= @t1 @t5)) % 15.50/15.71 (define @t30 () (tptp.subset @t4 (tptp.singleton @t5))) % 15.50/15.71 (define @t31 () (forall @t20 (=> @t30 @t29))) % 15.50/15.71 (define @t32 () (not @t31)) % 15.50/15.71 (define @t33 () (forall @t20 (or (not @t30) @t29))) % 15.50/15.71 (define @t34 () (@quantifiers_skolemize @t33 2)) % 15.50/15.71 (define @t35 () (tptp.singleton @t34)) % 15.50/15.71 (define @t36 () (tptp.in @t5 @t35)) % 15.50/15.71 (define @t37 () (forall @t8 (= (= @t5 @t34) @t36))) % 15.50/15.71 (define @t38 () (= @t34 @t5)) % 15.50/15.71 (define @t39 () (forall @t8 (= @t36 @t38))) % 15.50/15.71 (define @t40 () (= (= @t35 @t35) @t39)) % 15.50/15.71 (define @t41 () (forall @t3 (= @t10 (forall @t8 (= @t6 @t29))))) % 15.50/15.71 (define @t42 () (@list false)) % 15.50/15.71 (define @t43 () (@quantifiers_skolemize @t33 1)) % 15.50/15.71 (define @t44 () (@quantifiers_skolemize @t33 0)) % 15.50/15.71 (define @t45 () (tptp.unordered_pair @t44 @t43)) % 15.50/15.71 (define @t46 () (tptp.subset @t45 @t35)) % 15.50/15.71 (define @t47 () (= @t44 @t34)) % 15.50/15.71 (define @t48 () (not @t46)) % 15.50/15.71 (define @t49 () (or @t48 @t47)) % 15.50/15.71 (define @t50 () (@list true)) % 15.50/15.71 (define @t51 () (@list @t49)) % 15.50/15.71 (define @t52 () (forall @t8 (or (not (tptp.in @t5 @t45)) @t36))) % 15.50/15.71 (define @t53 () (= @t46 @t52)) % 15.50/15.71 (define @t54 () (@list false false)) % 15.50/15.71 (define @t55 () (@list @t44)) % 15.50/15.71 (define @t56 () (tptp.in @t13 @t45)) % 15.50/15.71 (define @t57 () (forall @t17 (= @t56 (or (= @t13 @t44) (= @t13 @t43))))) % 15.50/15.71 (define @t58 () (or (= @t44 @t13) (= @t43 @t13))) % 15.50/15.71 (define @t59 () (= @t56 @t58)) % 15.50/15.71 (define @t60 () (forall @t17 @t59)) % 15.50/15.71 (define @t61 () (= (= @t45 @t45) @t60)) % 15.50/15.71 (define @t62 () (forall @t20 (= (= @t4 @t5) (forall @t17 (= @t15 (or (= @t1 @t13) (= @t2 @t13))))))) % 15.50/15.71 (define @t63 () (tptp.in @t44 @t45)) % 15.50/15.71 (define @t64 () (= @t44 @t43)) % 15.50/15.71 (define @t65 () (or (= @t44 @t44) @t64)) % 15.50/15.71 (define @t66 () (= @t63 @t65)) % 15.50/15.71 (define @t67 () (tptp.in @t44 @t35)) % 15.50/15.71 (define @t68 () (not @t63)) % 15.50/15.71 (define @t69 () (or @t68 @t67)) % 15.50/15.71 (define @t70 () (= @t47 @t67)) % 15.50/15.71 (define @t71 () (not @t70)) % 15.50/15.71 (define @t72 () (@list true false)) % 15.50/15.71 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.50/15.71 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.50/15.71 (assume @p3 @t12) % 15.50/15.71 (assume @p4 @t21) % 15.50/15.71 (assume @p5 @t26) % 15.50/15.71 (assume @p6 (exists @t28 @t27)) % 15.50/15.71 (assume @p7 (exists @t28 (not @t27))) % 15.50/15.71 (assume @p8 (forall @t3 (tptp.subset @t1 @t1))) % 15.50/15.71 (assume @p9 @t32) % 15.50/15.71 (assume @p10 true) % 15.50/15.71 (step @p11 :rule eq-symm :args (@t5 @t1)) % 15.50/15.71 (step @p12 :rule refl :args (@t6)) % 15.50/15.71 (step @p13 :rule cong :premises (@p12 @p11) :args (@t7)) % 15.50/15.71 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 15.50/15.71 (step @p15 :rule refl :args (@t10)) % 15.50/15.71 (step @p16 :rule cong :premises (@p15 @p14) :args (@t11)) % 15.50/15.71 (step @p17 :rule cong :premises (@p16) :args (@t12)) % 15.50/15.71 (step @p18 :rule eq_resolve :premises (@p3 @p17)) % 15.50/15.71 (step @p19 :rule bool-eq-true :args (@t37)) % 15.50/15.71 (step @p20 :rule eq-symm :args (true @t37)) % 15.50/15.71 (step @p21 :rule trans :premises (@p20 @p19)) % 15.50/15.71 (step @p22 :rule refl :args (@t36)) % 15.50/15.71 (step @p23 :rule eq-symm :args (@t34 @t5)) % 15.50/15.71 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t38 @t36))) % 15.50/15.71 (step @p25 :rule eq-symm :args (@t36 @t38)) % 15.50/15.71 (step @p26 :rule trans :premises (@p25 @p24)) % 15.50/15.71 (step @p27 :rule cong :premises (@p26) :args (@t39)) % 15.50/15.71 (step @p28 :rule eq-refl :args (@t35)) % 15.50/15.71 (step @p29 :rule cong :premises (@p28 @p27) :args (@t40)) % 15.50/15.71 (step @p30 :rule trans :premises (@p29 @p21)) % 15.50/15.71 (step @p31 :rule refl :args (@t41)) % 15.50/15.71 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t41 @t40))) % 15.50/15.71 (assume-push @p126 @t41) % 15.50/15.71 (step @p34 :rule instantiate :premises (@p18) :args ((@list @t34 @t35))) % 15.50/15.71 (step-pop @p127 :rule scope :premises (@p34)) % 15.50/15.71 (step @p35 :rule process_scope :premises (@p127) :args (@t40)) % 15.50/15.71 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 15.50/15.71 (step @p38 :rule implies_elim :premises (@p37)) % 15.50/15.71 (step @p39 :rule chain_m_resolution :premises (@p38 @p18) :args (@t37 @t42 (@list @t41))) % 15.50/15.71 (step @p40 :rule bool-impl-elim :args (@t22 @t6)) % 15.50/15.71 (step @p41 :rule cong :premises (@p40) :args (@t23)) % 15.50/15.71 (step @p42 :rule refl :args (@t24)) % 15.50/15.71 (step @p43 :rule cong :premises (@p42 @p41) :args (@t25)) % 15.50/15.71 (step @p44 :rule cong :premises (@p43) :args (@t26)) % 15.50/15.71 (step @p45 :rule eq_resolve :premises (@p5 @p44)) % 15.50/15.71 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t45 @t35))) % 15.50/15.71 (step @p47 :rule bool-impl-elim :args (@t30 @t29)) % 15.50/15.71 (step @p48 :rule cong :premises (@p47) :args (@t31)) % 15.50/15.71 (step @p49 :rule cong :premises (@p48) :args (@t32)) % 15.50/15.71 (step @p50 :rule eq_resolve :premises (@p9 @p49)) % 15.50/15.71 (step @p51 :rule skolemize :premises (@p50)) % 15.50/15.71 (step @p52 :rule bool-double-not-elim :args (@t46)) % 15.50/15.71 (step @p53 :rule refl :args (@t49)) % 15.50/15.71 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t49 (not @t48)))) % 15.50/15.71 (step @p55 :rule cnf_or_neg :args (@t49 0)) % 15.50/15.71 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 15.50/15.71 (step @p57 :rule reordering :premises (@p56) :args ((or @t46 @t49))) % 15.50/15.71 (step @p58 :rule chain_m_resolution :premises (@p57 @p51) :args (@t46 @t50 @t51)) % 15.50/15.71 (step @p59 :rule cnf_equiv_pos1 :args (@t53)) % 15.50/15.71 (step @p60 :rule reordering :premises (@p59) :args ((or @t48 @t52 (not @t53)))) % 15.50/15.71 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p46) :args (@t52 @t54 (@list @t46 @t53))) % 15.50/15.71 (step @p62 :rule instantiate :premises (@p61) :args (@t55)) % 15.50/15.71 (step @p63 :rule eq-symm :args (@t13 @t2)) % 15.50/15.71 (step @p64 :rule eq-symm :args (@t13 @t1)) % 15.50/15.71 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t14)) % 15.50/15.71 (step @p66 :rule refl :args (@t15)) % 15.50/15.71 (step @p67 :rule cong :premises (@p66 @p65) :args (@t16)) % 15.50/15.71 (step @p68 :rule cong :premises (@p67) :args (@t18)) % 15.50/15.71 (step @p69 :rule eq-symm :args (@t5 @t4)) % 15.50/15.71 (step @p70 :rule cong :premises (@p69 @p68) :args (@t19)) % 15.50/15.71 (step @p71 :rule cong :premises (@p70) :args (@t21)) % 15.50/15.71 (step @p72 :rule eq_resolve :premises (@p4 @p71)) % 15.50/15.71 (step @p73 :rule bool-eq-true :args (@t57)) % 15.50/15.71 (step @p74 :rule eq-symm :args (true @t57)) % 15.50/15.71 (step @p75 :rule trans :premises (@p74 @p73)) % 15.50/15.71 (step @p76 :rule eq-symm :args (@t43 @t13)) % 15.50/15.71 (step @p77 :rule eq-symm :args (@t44 @t13)) % 15.50/15.71 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t58)) % 15.50/15.71 (step @p79 :rule refl :args (@t56)) % 15.50/15.71 (step @p80 :rule cong :premises (@p79 @p78) :args (@t59)) % 15.50/15.71 (step @p81 :rule cong :premises (@p80) :args (@t60)) % 15.50/15.71 (step @p82 :rule eq-refl :args (@t45)) % 15.50/15.71 (step @p83 :rule cong :premises (@p82 @p81) :args (@t61)) % 15.50/15.71 (step @p84 :rule trans :premises (@p83 @p75)) % 15.50/15.71 (step @p85 :rule refl :args (@t62)) % 15.50/15.71 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t62 @t61))) % 15.50/15.71 (assume-push @p128 @t62) % 15.50/15.71 (step @p88 :rule instantiate :premises (@p72) :args ((@list @t44 @t43 @t45))) % 15.50/15.71 (step-pop @p129 :rule scope :premises (@p88)) % 15.50/15.71 (step @p89 :rule process_scope :premises (@p129) :args (@t61)) % 15.50/15.71 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 15.50/15.71 (step @p92 :rule implies_elim :premises (@p91)) % 15.50/15.71 (step @p93 :rule chain_m_resolution :premises (@p92 @p72) :args (@t57 @t42 (@list @t62))) % 15.50/15.71 (step @p94 :rule bool-eq-true :args (@t63)) % 15.50/15.71 (step @p95 :rule absorb :args ((= (or true @t64) true))) % 15.50/15.71 (step @p96 :rule refl :args (@t64)) % 15.50/15.71 (step @p97 :rule eq-refl :args (@t44)) % 15.50/15.71 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t65)) % 15.50/15.71 (step @p99 :rule trans :premises (@p98 @p95)) % 15.50/15.71 (step @p100 :rule refl :args (@t63)) % 15.50/15.71 (step @p101 :rule cong :premises (@p100 @p99) :args (@t66)) % 15.50/15.71 (step @p102 :rule trans :premises (@p101 @p94)) % 15.50/15.71 (step @p103 :rule refl :args (@t57)) % 15.50/15.71 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t57 @t66))) % 15.50/15.71 (assume-push @p130 @t57) % 15.50/15.71 (step @p106 :rule instantiate :premises (@p93) :args (@t55)) % 15.50/15.71 (step-pop @p131 :rule scope :premises (@p106)) % 15.50/15.71 (step @p107 :rule process_scope :premises (@p131) :args (@t66)) % 15.50/15.71 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 15.50/15.71 (step @p110 :rule implies_elim :premises (@p109)) % 15.50/15.71 (step @p111 :rule chain_m_resolution :premises (@p110 @p93) :args (@t63 @t42 (@list @t57))) % 15.50/15.71 (step @p112 :rule cnf_or_pos :args (@t69)) % 15.50/15.71 (step @p113 :rule reordering :premises (@p112) :args ((or @t68 @t67 (not @t69)))) % 15.50/15.71 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p62) :args (@t67 @t54 (@list @t63 @t69))) % 15.50/15.71 (step @p115 :rule cnf_or_neg :args (@t49 1)) % 15.50/15.71 (step @p116 :rule chain_m_resolution :premises (@p115 @p51) :args ((not @t47) @t50 @t51)) % 15.50/15.71 (step @p117 :rule cnf_equiv_pos2 :args (@t70)) % 15.50/15.71 (step @p118 :rule reordering :premises (@p117) :args ((or @t47 (not @t67) @t71))) % 15.50/15.71 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p114) :args (@t71 @t72 (@list @t47 @t67))) % 15.50/15.71 (assume-push @p132 @t37) % 15.50/15.71 (step @p121 :rule instantiate :premises (@p39) :args (@t55)) % 15.50/15.71 (step-pop @p133 :rule scope :premises (@p121)) % 15.50/15.71 (step @p122 :rule process_scope :premises (@p133) :args (@t70)) % 15.50/15.71 (step @p124 :rule implies_elim :premises (@p122)) % 15.50/15.71 (step @p125 false :rule chain_m_resolution :premises (@p124 @p119 @p39) :args (false @t72 (@list @t70 @t37))) % 15.50/15.71 ) % 15.50/15.71 % SZS output end Proof % 15.50/15.71 % cvc5 exiting %------------------------------------------------------------------------------