%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET873+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 : n028.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 08:48:53 AM UTC 2026 % Result : Theorem 15.33s 15.59s % Output : Proof 15.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET873+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:16:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.33/15.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.33/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 15.33/15.59 % SZS status Theorem % 15.33/15.59 % SZS output start Proof % 15.33/15.59 ( % 15.33/15.59 (declare-sort $$unsorted 0) % 15.33/15.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.33/15.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.33/15.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.33/15.59 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 15.33/15.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.33/15.59 (define @t1 () (@var "A" $$unsorted)) % 15.33/15.59 (define @t2 () (@var "B" $$unsorted)) % 15.33/15.59 (define @t3 () (tptp.in @t1 @t2)) % 15.33/15.59 (define @t4 () (@list @t1 @t2)) % 15.33/15.59 (define @t5 () (tptp.set_union2 @t2 @t1)) % 15.33/15.59 (define @t6 () (tptp.set_union2 @t1 @t2)) % 15.33/15.59 (define @t7 () (@var "C" $$unsorted)) % 15.33/15.59 (define @t8 () (tptp.in @t7 @t2)) % 15.33/15.59 (define @t9 () (= @t8 (= @t7 @t1))) % 15.33/15.59 (define @t10 () (@list @t7)) % 15.33/15.59 (define @t11 () (forall @t10 @t9)) % 15.33/15.59 (define @t12 () (tptp.singleton @t1)) % 15.33/15.59 (define @t13 () (= @t2 @t12)) % 15.33/15.59 (define @t14 () (= @t13 @t11)) % 15.33/15.59 (define @t15 () (forall @t4 @t14)) % 15.33/15.59 (define @t16 () (tptp.empty @t1)) % 15.33/15.59 (define @t17 () (not @t16)) % 15.33/15.59 (define @t18 () (tptp.subset (tptp.set_union2 @t12 @t2) @t2)) % 15.33/15.59 (define @t19 () (forall @t4 (=> @t18 @t3))) % 15.33/15.59 (define @t20 () (@list @t1)) % 15.33/15.59 (define @t21 () (tptp.subset @t1 @t1)) % 15.33/15.59 (define @t22 () (forall @t4 @t21)) % 15.33/15.59 (define @t23 () (= @t1 @t2)) % 15.33/15.59 (define @t24 () (tptp.set_union2 @t12 (tptp.singleton @t2))) % 15.33/15.59 (define @t25 () (=> (= @t24 @t12) @t23)) % 15.33/15.59 (define @t26 () (forall @t4 @t25)) % 15.33/15.59 (define @t27 () (not @t26)) % 15.33/15.59 (define @t28 () (= @t12 @t24)) % 15.33/15.59 (define @t29 () (forall @t4 (or (not @t28) @t23))) % 15.33/15.59 (define @t30 () (@quantifiers_skolemize @t29 0)) % 15.33/15.59 (define @t31 () (tptp.singleton @t30)) % 15.33/15.59 (define @t32 () (@quantifiers_skolemize @t29 1)) % 15.33/15.59 (define @t33 () (tptp.singleton @t32)) % 15.33/15.59 (define @t34 () (tptp.set_union2 @t33 @t31)) % 15.33/15.59 (define @t35 () (= @t31 (tptp.set_union2 @t31 @t33))) % 15.33/15.59 (define @t36 () (= @t30 @t32)) % 15.33/15.59 (define @t37 () (not @t35)) % 15.33/15.59 (define @t38 () (or @t37 @t36)) % 15.33/15.59 (define @t39 () (@list true)) % 15.33/15.59 (define @t40 () (@list @t38)) % 15.33/15.59 (define @t41 () (tptp.subset @t34 @t31)) % 15.33/15.59 (define @t42 () (tptp.in @t7 @t31)) % 15.33/15.59 (define @t43 () (forall @t10 (= @t42 (= @t7 @t30)))) % 15.33/15.59 (define @t44 () (= @t42 (= @t30 @t7))) % 15.33/15.59 (define @t45 () (forall @t10 @t44)) % 15.33/15.59 (define @t46 () (= (= @t31 @t31) @t45)) % 15.33/15.59 (define @t47 () (forall @t4 (= @t13 (forall @t10 (= @t8 (= @t1 @t7)))))) % 15.33/15.59 (define @t48 () (@list false)) % 15.33/15.59 (define @t49 () (tptp.in @t32 @t31)) % 15.33/15.59 (define @t50 () (= @t49 (= @t32 @t30))) % 15.33/15.59 (define @t51 () (= @t36 @t49)) % 15.33/15.59 (define @t52 () (not @t49)) % 15.33/15.59 (define @t53 () (@list true false)) % 15.33/15.59 (define @t54 () (not @t41)) % 15.33/15.59 (define @t55 () (or @t54 @t49)) % 15.33/15.59 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.33/15.59 (assume @p2 (forall @t4 (= @t6 @t5))) % 15.33/15.59 (assume @p3 @t15) % 15.33/15.59 (assume @p4 (forall @t4 (=> @t17 (not (tptp.empty @t6))))) % 15.33/15.59 (assume @p5 (forall @t4 (=> @t17 (not (tptp.empty @t5))))) % 15.33/15.59 (assume @p6 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 15.33/15.59 (assume @p7 @t19) % 15.33/15.59 (assume @p8 (exists @t20 @t16)) % 15.33/15.59 (assume @p9 (exists @t20 @t17)) % 15.33/15.59 (assume @p10 @t22) % 15.33/15.59 (assume @p11 @t27) % 15.33/15.59 (assume @p12 true) % 15.33/15.59 (step @p13 :rule evaluate :args ((= false true))) % 15.33/15.59 (step @p14 :rule quant-unused-vars :args ((= @t22 (forall @t20 @t21)))) % 15.33/15.59 (step @p15 :rule eq_resolve :premises (@p10 @p14)) % 15.33/15.59 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t34))) % 15.33/15.59 (step @p17 :rule true_intro :premises (@p16)) % 15.33/15.59 (step @p18 :rule instantiate :premises (@p2) :args ((@list @t31 @t33))) % 15.33/15.59 (step @p19 :rule bool-impl-elim :args (@t28 @t23)) % 15.33/15.59 (step @p20 :rule cong :premises (@p19) :args ((forall @t4 (=> @t28 @t23)))) % 15.33/15.59 (step @p21 :rule refl :args (@t23)) % 15.33/15.59 (step @p22 :rule eq-symm :args (@t24 @t12)) % 15.33/15.59 (step @p23 :rule cong :premises (@p22 @p21) :args (@t25)) % 15.33/15.59 (step @p24 :rule cong :premises (@p23) :args (@t26)) % 15.33/15.59 (step @p25 :rule trans :premises (@p24 @p20)) % 15.33/15.59 (step @p26 :rule cong :premises (@p25) :args (@t27)) % 15.33/15.59 (step @p27 :rule eq_resolve :premises (@p11 @p26)) % 15.33/15.59 (step @p28 :rule skolemize :premises (@p27)) % 15.33/15.59 (step @p29 :rule bool-double-not-elim :args (@t35)) % 15.33/15.59 (step @p30 :rule refl :args (@t38)) % 15.33/15.59 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t38 (not @t37)))) % 15.33/15.59 (step @p32 :rule cnf_or_neg :args (@t38 0)) % 15.33/15.59 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 15.33/15.59 (step @p34 :rule reordering :premises (@p33) :args ((or @t35 @t38))) % 15.33/15.59 (step @p35 :rule chain_m_resolution :premises (@p34 @p28) :args (@t35 @t39 @t40)) % 15.33/15.59 (step @p36 :rule trans :premises (@p35 @p18)) % 15.33/15.59 (step @p37 :rule refl :args (@t34)) % 15.33/15.59 (step @p38 :rule cong :premises (@p37 @p36) :args (@t41)) % 15.33/15.59 (step @p39 :rule bool-impl-elim :args (@t18 @t3)) % 15.33/15.59 (step @p40 :rule cong :premises (@p39) :args (@t19)) % 15.33/15.59 (step @p41 :rule eq_resolve :premises (@p7 @p40)) % 15.33/15.59 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t32 @t31))) % 15.33/15.59 (step @p43 :rule eq-symm :args (@t7 @t1)) % 15.33/15.59 (step @p44 :rule refl :args (@t8)) % 15.33/15.59 (step @p45 :rule cong :premises (@p44 @p43) :args (@t9)) % 15.33/15.59 (step @p46 :rule cong :premises (@p45) :args (@t11)) % 15.33/15.59 (step @p47 :rule refl :args (@t13)) % 15.33/15.59 (step @p48 :rule cong :premises (@p47 @p46) :args (@t14)) % 15.33/15.59 (step @p49 :rule cong :premises (@p48) :args (@t15)) % 15.33/15.59 (step @p50 :rule eq_resolve :premises (@p3 @p49)) % 15.33/15.59 (step @p51 :rule bool-eq-true :args (@t43)) % 15.33/15.59 (step @p52 :rule eq-symm :args (true @t43)) % 15.33/15.59 (step @p53 :rule trans :premises (@p52 @p51)) % 15.33/15.59 (step @p54 :rule eq-symm :args (@t30 @t7)) % 15.33/15.59 (step @p55 :rule refl :args (@t42)) % 15.33/15.59 (step @p56 :rule cong :premises (@p55 @p54) :args (@t44)) % 15.33/15.59 (step @p57 :rule cong :premises (@p56) :args (@t45)) % 15.33/15.59 (step @p58 :rule eq-refl :args (@t31)) % 15.33/15.59 (step @p59 :rule cong :premises (@p58 @p57) :args (@t46)) % 15.33/15.59 (step @p60 :rule trans :premises (@p59 @p53)) % 15.33/15.59 (step @p61 :rule refl :args (@t47)) % 15.33/15.59 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t47 @t46))) % 15.33/15.59 (assume-push @p96 @t47) % 15.33/15.59 (step @p64 :rule instantiate :premises (@p50) :args ((@list @t30 @t31))) % 15.33/15.59 (step-pop @p97 :rule scope :premises (@p64)) % 15.33/15.59 (step @p65 :rule process_scope :premises (@p97) :args (@t46)) % 15.33/15.59 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 15.33/15.59 (step @p68 :rule implies_elim :premises (@p67)) % 15.33/15.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p50) :args (@t43 @t48 (@list @t47))) % 15.33/15.59 (step @p70 :rule eq-symm :args (@t49 @t36)) % 15.33/15.59 (step @p71 :rule eq-symm :args (@t32 @t30)) % 15.33/15.59 (step @p72 :rule refl :args (@t49)) % 15.33/15.59 (step @p73 :rule cong :premises (@p72 @p71) :args (@t50)) % 15.33/15.59 (step @p74 :rule trans :premises (@p73 @p70)) % 15.33/15.59 (step @p75 :rule refl :args (@t43)) % 15.33/15.59 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t43 @t50))) % 15.33/15.59 (assume-push @p98 @t43) % 15.33/15.59 (step @p78 :rule instantiate :premises (@p69) :args ((@list @t32))) % 15.33/15.59 (step-pop @p99 :rule scope :premises (@p78)) % 15.33/15.59 (step @p79 :rule process_scope :premises (@p99) :args (@t50)) % 15.33/15.59 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 15.33/15.59 (step @p82 :rule implies_elim :premises (@p81)) % 15.33/15.59 (step @p83 :rule chain_m_resolution :premises (@p82 @p69) :args (@t51 @t48 (@list @t43))) % 15.33/15.59 (step @p84 :rule cnf_or_neg :args (@t38 1)) % 15.33/15.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p28) :args ((not @t36) @t39 @t40)) % 15.33/15.59 (step @p86 :rule cnf_equiv_pos2 :args (@t51)) % 15.33/15.59 (step @p87 :rule reordering :premises (@p86) :args ((or @t36 @t52 (not @t51)))) % 15.33/15.59 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p83) :args (@t52 @t53 (@list @t36 @t51))) % 15.33/15.59 (step @p89 :rule cnf_or_pos :args (@t55)) % 15.33/15.59 (step @p90 :rule reordering :premises (@p89) :args ((or @t49 @t54 (not @t55)))) % 15.33/15.59 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p42) :args (@t54 @t53 (@list @t49 @t55))) % 15.33/15.59 (step @p92 :rule false_intro :premises (@p91)) % 15.33/15.59 (step @p93 :rule symm :premises (@p92)) % 15.33/15.59 (step @p94 :rule trans :premises (@p93 @p38 @p17)) % 15.33/15.59 (step @p95 false :rule eq_resolve :premises (@p94 @p13)) % 15.33/15.59 ) % 15.33/15.59 % SZS output end Proof % 15.33/15.59 % cvc5 exiting %------------------------------------------------------------------------------