%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET875+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:48:54 AM UTC 2026 % Result : Theorem 15.40s 15.60s % Output : Proof 15.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET875+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.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 16:16:58 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.40/15.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.60 --- Run --no-e-matching --full-saturate-quant at 6... % 15.40/15.60 % SZS status Theorem % 15.40/15.60 % SZS output start Proof % 15.40/15.60 ( % 15.40/15.60 (declare-sort $$unsorted 0) % 15.40/15.60 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.40/15.60 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.40/15.60 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.40/15.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.40/15.60 (define @t1 () (@var "A" $$unsorted)) % 15.40/15.60 (define @t2 () (@var "B" $$unsorted)) % 15.40/15.60 (define @t3 () (tptp.in @t1 @t2)) % 15.40/15.60 (define @t4 () (@list @t1 @t2)) % 15.40/15.60 (define @t5 () (@var "C" $$unsorted)) % 15.40/15.60 (define @t6 () (tptp.in @t5 @t2)) % 15.40/15.60 (define @t7 () (= @t6 (= @t5 @t1))) % 15.40/15.60 (define @t8 () (@list @t5)) % 15.40/15.60 (define @t9 () (forall @t8 @t7)) % 15.40/15.60 (define @t10 () (tptp.singleton @t1)) % 15.40/15.60 (define @t11 () (= @t2 @t10)) % 15.40/15.60 (define @t12 () (= @t11 @t9)) % 15.40/15.60 (define @t13 () (forall @t4 @t12)) % 15.40/15.60 (define @t14 () (tptp.disjoint @t10 @t2)) % 15.40/15.60 (define @t15 () (forall @t4 (not (and @t14 @t3)))) % 15.40/15.60 (define @t16 () (tptp.empty @t1)) % 15.40/15.60 (define @t17 () (@list @t1)) % 15.40/15.60 (define @t18 () (= @t1 @t2)) % 15.40/15.60 (define @t19 () (tptp.singleton @t2)) % 15.40/15.60 (define @t20 () (tptp.disjoint @t10 @t19)) % 15.40/15.60 (define @t21 () (forall @t4 (not (and @t20 @t18)))) % 15.40/15.60 (define @t22 () (not @t21)) % 15.40/15.60 (define @t23 () (not (tptp.disjoint @t19 @t19))) % 15.40/15.60 (define @t24 () (@list @t2)) % 15.40/15.60 (define @t25 () (forall @t24 @t23)) % 15.40/15.60 (define @t26 () (@quantifiers_skolemize @t25 0)) % 15.40/15.60 (define @t27 () (tptp.singleton @t26)) % 15.40/15.60 (define @t28 () (tptp.in @t5 @t27)) % 15.40/15.60 (define @t29 () (forall @t8 (= (= @t5 @t26) @t28))) % 15.40/15.60 (define @t30 () (= @t26 @t5)) % 15.40/15.60 (define @t31 () (forall @t8 (= @t28 @t30))) % 15.40/15.60 (define @t32 () (= (= @t27 @t27) @t31)) % 15.40/15.60 (define @t33 () (forall @t4 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 15.40/15.60 (define @t34 () (@list @t26 @t27)) % 15.40/15.60 (define @t35 () (@list false)) % 15.40/15.60 (define @t36 () (tptp.in @t26 @t27)) % 15.40/15.60 (define @t37 () (= (= @t26 @t26) @t36)) % 15.40/15.60 (define @t38 () (not (= @t2 @t2))) % 15.40/15.60 (define @t39 () (or @t23 @t38)) % 15.40/15.60 (define @t40 () (not @t18)) % 15.40/15.60 (define @t41 () (not @t20)) % 15.40/15.60 (define @t42 () (or @t40 @t41 @t40)) % 15.40/15.60 (define @t43 () (or @t41 @t40)) % 15.40/15.60 (define @t44 () (forall @t17 @t43)) % 15.40/15.60 (define @t45 () (forall @t24 @t44)) % 15.40/15.60 (define @t46 () (forall (@list @t2 @t1) @t43)) % 15.40/15.60 (define @t47 () (tptp.disjoint @t27 @t27)) % 15.40/15.60 (define @t48 () (not @t25)) % 15.40/15.60 (define @t49 () (not @t47)) % 15.40/15.60 (define @t50 () (not @t49)) % 15.40/15.60 (define @t51 () (not @t36)) % 15.40/15.60 (define @t52 () (or @t49 @t51)) % 15.40/15.60 (define @t53 () (not @t52)) % 15.40/15.60 (define @t54 () (forall @t4 (or (not @t14) (not @t3)))) % 15.40/15.60 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.40/15.60 (assume @p2 @t13) % 15.40/15.60 (assume @p3 @t15) % 15.40/15.60 (assume @p4 (exists @t17 @t16)) % 15.40/15.60 (assume @p5 (exists @t17 (not @t16))) % 15.40/15.60 (assume @p6 (forall @t4 (=> (tptp.disjoint @t1 @t2) (tptp.disjoint @t2 @t1)))) % 15.40/15.60 (assume @p7 @t22) % 15.40/15.60 (assume @p8 true) % 15.40/15.60 (step @p9 :rule bool-and-de-morgan :args (@t14 @t3 true)) % 15.40/15.60 (step @p10 :rule cong :premises (@p9) :args (@t15)) % 15.40/15.60 (step @p11 :rule eq_resolve :premises (@p3 @p10)) % 15.40/15.60 (step @p12 :rule eq-symm :args (@t5 @t1)) % 15.40/15.60 (step @p13 :rule refl :args (@t6)) % 15.40/15.60 (step @p14 :rule cong :premises (@p13 @p12) :args (@t7)) % 15.40/15.60 (step @p15 :rule cong :premises (@p14) :args (@t9)) % 15.40/15.60 (step @p16 :rule refl :args (@t11)) % 15.40/15.60 (step @p17 :rule cong :premises (@p16 @p15) :args (@t12)) % 15.40/15.60 (step @p18 :rule cong :premises (@p17) :args (@t13)) % 15.40/15.60 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 15.40/15.60 (step @p20 :rule bool-eq-true :args (@t29)) % 15.40/15.60 (step @p21 :rule eq-symm :args (true @t29)) % 15.40/15.60 (step @p22 :rule trans :premises (@p21 @p20)) % 15.40/15.60 (step @p23 :rule refl :args (@t28)) % 15.40/15.60 (step @p24 :rule eq-symm :args (@t26 @t5)) % 15.40/15.60 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t30 @t28))) % 15.40/15.60 (step @p26 :rule eq-symm :args (@t28 @t30)) % 15.40/15.60 (step @p27 :rule trans :premises (@p26 @p25)) % 15.40/15.60 (step @p28 :rule cong :premises (@p27) :args (@t31)) % 15.40/15.60 (step @p29 :rule eq-refl :args (@t27)) % 15.40/15.60 (step @p30 :rule cong :premises (@p29 @p28) :args (@t32)) % 15.40/15.60 (step @p31 :rule trans :premises (@p30 @p22)) % 15.40/15.60 (step @p32 :rule refl :args (@t33)) % 15.40/15.60 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t33 @t32))) % 15.40/15.60 (assume-push @p104 @t33) % 15.40/15.60 (step @p35 :rule instantiate :premises (@p19) :args (@t34)) % 15.40/15.60 (step-pop @p105 :rule scope :premises (@p35)) % 15.40/15.60 (step @p36 :rule process_scope :premises (@p105) :args (@t32)) % 15.40/15.60 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 15.40/15.60 (step @p39 :rule implies_elim :premises (@p38)) % 15.40/15.60 (step @p40 :rule chain_m_resolution :premises (@p39 @p19) :args (@t29 @t35 (@list @t33))) % 15.40/15.60 (step @p41 :rule bool-eq-true :args (@t36)) % 15.40/15.60 (step @p42 :rule eq-symm :args (true @t36)) % 15.40/15.60 (step @p43 :rule trans :premises (@p42 @p41)) % 15.40/15.60 (step @p44 :rule refl :args (@t36)) % 15.40/15.60 (step @p45 :rule eq-refl :args (@t26)) % 15.40/15.60 (step @p46 :rule cong :premises (@p45 @p44) :args (@t37)) % 15.40/15.60 (step @p47 :rule trans :premises (@p46 @p43)) % 15.40/15.60 (step @p48 :rule refl :args (@t29)) % 15.40/15.60 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t29 @t37))) % 15.40/15.60 (assume-push @p106 @t29) % 15.40/15.60 (step @p51 :rule instantiate :premises (@p40) :args ((@list @t26))) % 15.40/15.60 (step-pop @p107 :rule scope :premises (@p51)) % 15.40/15.60 (step @p52 :rule process_scope :premises (@p107) :args (@t37)) % 15.40/15.60 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 15.40/15.60 (step @p55 :rule implies_elim :premises (@p54)) % 15.40/15.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p40) :args (@t36 @t35 (@list @t29))) % 15.40/15.60 (step @p57 :rule aci_norm :args ((= (or @t23 false) @t23))) % 15.40/15.60 (step @p58 :rule evaluate :args ((not true))) % 15.40/15.60 (step @p59 :rule eq-refl :args (@t2)) % 15.40/15.60 (step @p60 :rule cong :premises (@p59) :args (@t38)) % 15.40/15.60 (step @p61 :rule trans :premises (@p60 @p58)) % 15.40/15.60 (step @p62 :rule refl :args (@t23)) % 15.40/15.60 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t39)) % 15.40/15.60 (step @p64 :rule trans :premises (@p63 @p57)) % 15.40/15.60 (step @p65 :rule cong :premises (@p64) :args ((forall @t24 @t39))) % 15.40/15.60 (step @p66 :rule quant-var-elim-eq :args ((= (forall @t17 @t42) @t39))) % 15.40/15.60 (step @p67 :rule aci_norm :args ((= @t43 @t42))) % 15.40/15.60 (step @p68 :rule cong :premises (@p67) :args (@t44)) % 15.40/15.60 (step @p69 :rule trans :premises (@p68 @p66)) % 15.40/15.60 (step @p70 :rule cong :premises (@p69) :args (@t45)) % 15.40/15.60 (step @p71 :rule quant-merge-prenex :args ((= @t45 @t46))) % 15.40/15.60 (step @p72 :rule symm :premises (@p71)) % 15.40/15.60 (step @p73 :rule quant_var_reordering :args ((= (forall @t4 @t43) @t46))) % 15.40/15.60 (step @p74 :rule trans :premises (@p73 @p72 @p70)) % 15.40/15.60 (step @p75 :rule trans :premises (@p74 @p65)) % 15.40/15.60 (step @p76 :rule bool-and-de-morgan :args (@t20 @t18 true)) % 15.40/15.60 (step @p77 :rule cong :premises (@p76) :args (@t21)) % 15.40/15.60 (step @p78 :rule trans :premises (@p77 @p75)) % 15.40/15.60 (step @p79 :rule cong :premises (@p78) :args (@t22)) % 15.40/15.60 (step @p80 :rule eq_resolve :premises (@p7 @p79)) % 15.40/15.60 (step @p81 :rule refl :args (@t47)) % 15.40/15.60 (step @p82 :rule bool-double-not-elim :args (@t25)) % 15.40/15.60 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t48) @t47))) % 15.40/15.60 (step @p84 :rule bool-double-not-elim :args (@t47)) % 15.40/15.60 (step @p85 :rule refl :args (@t48)) % 15.40/15.60 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t48 @t50))) % 15.40/15.60 (assume-push @p108 @t48) % 15.40/15.60 (step @p88 :rule skolemize :premises (@p80)) % 15.40/15.60 (step-pop @p109 :rule scope :premises (@p88)) % 15.40/15.60 (step @p89 :rule process_scope :premises (@p109) :args (@t50)) % 15.40/15.60 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 15.40/15.60 (step @p92 :rule implies_elim :premises (@p91)) % 15.40/15.60 (step @p93 :rule eq_resolve :premises (@p92 @p83)) % 15.40/15.60 (step @p94 :rule chain_m_resolution :premises (@p93 @p80) :args (@t47 (@list true) (@list @t25))) % 15.40/15.60 (step @p95 :rule cnf_or_pos :args (@t52)) % 15.40/15.60 (step @p96 :rule reordering :premises (@p95) :args ((or @t49 @t51 @t53))) % 15.40/15.60 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p56) :args (@t53 (@list false false) (@list @t47 @t36))) % 15.40/15.60 (assume-push @p110 @t54) % 15.40/15.60 (step @p99 :rule instantiate :premises (@p11) :args (@t34)) % 15.40/15.60 (step-pop @p111 :rule scope :premises (@p99)) % 15.40/15.60 (step @p100 :rule process_scope :premises (@p111) :args (@t52)) % 15.40/15.60 (step @p102 :rule implies_elim :premises (@p100)) % 15.40/15.60 (step @p103 false :rule chain_m_resolution :premises (@p102 @p97 @p11) :args (false (@list true false) (@list @t52 @t54))) % 15.40/15.60 ) % 15.40/15.60 % SZS output end Proof % 15.40/15.60 % cvc5 exiting %------------------------------------------------------------------------------