%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET878+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 : n004.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 15.32s 15.59s % Output : Proof 15.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET878+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 % 0.16/0.34 % Computer : n004.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 16:16:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.32/15.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 15.32/15.59 % SZS status Theorem % 15.32/15.59 % SZS output start Proof % 15.32/15.59 ( % 15.32/15.59 (declare-sort $$unsorted 0) % 15.32/15.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.32/15.59 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.32/15.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.32/15.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.32/15.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.32/15.59 (define @t1 () (@var "A" $$unsorted)) % 15.32/15.59 (define @t2 () (@var "B" $$unsorted)) % 15.32/15.59 (define @t3 () (tptp.in @t1 @t2)) % 15.32/15.59 (define @t4 () (@list @t1 @t2)) % 15.32/15.59 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 15.32/15.59 (define @t6 () (forall @t4 (= (tptp.set_intersection2 @t1 @t2) (tptp.set_intersection2 @t2 @t1)))) % 15.32/15.59 (define @t7 () (@var "D" $$unsorted)) % 15.32/15.59 (define @t8 () (or (= @t7 @t1) (= @t7 @t2))) % 15.32/15.59 (define @t9 () (@var "C" $$unsorted)) % 15.32/15.59 (define @t10 () (tptp.in @t7 @t9)) % 15.32/15.59 (define @t11 () (= @t10 @t8)) % 15.32/15.59 (define @t12 () (@list @t7)) % 15.32/15.59 (define @t13 () (forall @t12 @t11)) % 15.32/15.59 (define @t14 () (= (= @t9 @t5) @t13)) % 15.32/15.59 (define @t15 () (@list @t1 @t2 @t9)) % 15.32/15.59 (define @t16 () (forall @t15 @t14)) % 15.32/15.59 (define @t17 () (tptp.set_intersection2 @t1 @t1)) % 15.32/15.59 (define @t18 () (forall @t4 (= @t17 @t1))) % 15.32/15.59 (define @t19 () (tptp.singleton @t1)) % 15.32/15.59 (define @t20 () (tptp.set_intersection2 @t2 @t19)) % 15.32/15.59 (define @t21 () (=> @t3 (= @t20 @t19))) % 15.32/15.59 (define @t22 () (forall @t4 @t21)) % 15.32/15.59 (define @t23 () (tptp.empty @t1)) % 15.32/15.59 (define @t24 () (@list @t1)) % 15.32/15.59 (define @t25 () (tptp.set_intersection2 @t19 @t5)) % 15.32/15.59 (define @t26 () (forall @t4 (= @t25 @t19))) % 15.32/15.59 (define @t27 () (not @t26)) % 15.32/15.59 (define @t28 () (= @t1 @t17)) % 15.32/15.59 (define @t29 () (forall @t4 (= @t19 @t25))) % 15.32/15.59 (define @t30 () (@quantifiers_skolemize @t29 0)) % 15.32/15.59 (define @t31 () (tptp.singleton @t30)) % 15.32/15.59 (define @t32 () (= @t19 @t20)) % 15.32/15.59 (define @t33 () (@quantifiers_skolemize @t29 1)) % 15.32/15.59 (define @t34 () (tptp.unordered_pair @t30 @t33)) % 15.32/15.59 (define @t35 () (tptp.in @t7 @t34)) % 15.32/15.59 (define @t36 () (forall @t12 (= @t35 (or (= @t7 @t30) (= @t7 @t33))))) % 15.32/15.59 (define @t37 () (or (= @t30 @t7) (= @t33 @t7))) % 15.32/15.59 (define @t38 () (= @t35 @t37)) % 15.32/15.59 (define @t39 () (forall @t12 @t38)) % 15.32/15.59 (define @t40 () (= (= @t34 @t34) @t39)) % 15.32/15.59 (define @t41 () (forall @t15 (= (= @t5 @t9) (forall @t12 (= @t10 (or (= @t1 @t7) (= @t2 @t7))))))) % 15.32/15.59 (define @t42 () (@list false)) % 15.32/15.59 (define @t43 () (tptp.in @t30 @t34)) % 15.32/15.59 (define @t44 () (= @t30 @t33)) % 15.32/15.59 (define @t45 () (or (= @t30 @t30) @t44)) % 15.32/15.59 (define @t46 () (= @t43 @t45)) % 15.32/15.59 (define @t47 () (tptp.set_intersection2 @t34 @t31)) % 15.32/15.59 (define @t48 () (= @t31 @t47)) % 15.32/15.59 (define @t49 () (not @t43)) % 15.32/15.59 (define @t50 () (or @t49 @t48)) % 15.32/15.59 (define @t51 () (tptp.set_intersection2 @t31 @t34)) % 15.32/15.59 (define @t52 () (= @t47 @t51)) % 15.32/15.59 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.32/15.59 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 15.32/15.59 (assume @p3 @t6) % 15.32/15.59 (assume @p4 @t16) % 15.32/15.59 (assume @p5 @t18) % 15.32/15.59 (assume @p6 @t22) % 15.32/15.59 (assume @p7 (exists @t24 @t23)) % 15.32/15.59 (assume @p8 (exists @t24 (not @t23))) % 15.32/15.59 (assume @p9 @t27) % 15.32/15.59 (assume @p10 true) % 15.32/15.59 (step @p11 :rule evaluate :args ((= false true))) % 15.32/15.59 (step @p12 :rule quant-unused-vars :args ((= (forall @t4 @t28) (forall @t24 @t28)))) % 15.32/15.59 (step @p13 :rule eq-symm :args (@t17 @t1)) % 15.32/15.59 (step @p14 :rule cong :premises (@p13) :args (@t18)) % 15.32/15.59 (step @p15 :rule trans :premises (@p14 @p12)) % 15.32/15.59 (step @p16 :rule eq_resolve :premises (@p5 @p15)) % 15.32/15.59 (step @p17 :rule instantiate :premises (@p16) :args ((@list @t31))) % 15.32/15.59 (step @p18 :rule bool-impl-elim :args (@t3 @t32)) % 15.32/15.59 (step @p19 :rule cong :premises (@p18) :args ((forall @t4 (=> @t3 @t32)))) % 15.32/15.59 (step @p20 :rule eq-symm :args (@t20 @t19)) % 15.32/15.59 (step @p21 :rule refl :args (@t3)) % 15.32/15.59 (step @p22 :rule cong :premises (@p21 @p20) :args (@t21)) % 15.32/15.59 (step @p23 :rule cong :premises (@p22) :args (@t22)) % 15.32/15.59 (step @p24 :rule trans :premises (@p23 @p19)) % 15.32/15.59 (step @p25 :rule eq_resolve :premises (@p6 @p24)) % 15.32/15.59 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t30 @t34))) % 15.32/15.59 (step @p27 :rule eq-symm :args (@t7 @t2)) % 15.32/15.59 (step @p28 :rule eq-symm :args (@t7 @t1)) % 15.32/15.59 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t8)) % 15.32/15.59 (step @p30 :rule refl :args (@t10)) % 15.32/15.59 (step @p31 :rule cong :premises (@p30 @p29) :args (@t11)) % 15.32/15.59 (step @p32 :rule cong :premises (@p31) :args (@t13)) % 15.32/15.59 (step @p33 :rule eq-symm :args (@t9 @t5)) % 15.32/15.59 (step @p34 :rule cong :premises (@p33 @p32) :args (@t14)) % 15.32/15.59 (step @p35 :rule cong :premises (@p34) :args (@t16)) % 15.32/15.59 (step @p36 :rule eq_resolve :premises (@p4 @p35)) % 15.32/15.59 (step @p37 :rule bool-eq-true :args (@t36)) % 15.32/15.59 (step @p38 :rule eq-symm :args (true @t36)) % 15.32/15.59 (step @p39 :rule trans :premises (@p38 @p37)) % 15.32/15.59 (step @p40 :rule eq-symm :args (@t33 @t7)) % 15.32/15.59 (step @p41 :rule eq-symm :args (@t30 @t7)) % 15.32/15.59 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t37)) % 15.32/15.59 (step @p43 :rule refl :args (@t35)) % 15.32/15.59 (step @p44 :rule cong :premises (@p43 @p42) :args (@t38)) % 15.32/15.59 (step @p45 :rule cong :premises (@p44) :args (@t39)) % 15.32/15.59 (step @p46 :rule eq-refl :args (@t34)) % 15.32/15.59 (step @p47 :rule cong :premises (@p46 @p45) :args (@t40)) % 15.32/15.59 (step @p48 :rule trans :premises (@p47 @p39)) % 15.32/15.59 (step @p49 :rule refl :args (@t41)) % 15.32/15.59 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t41 @t40))) % 15.32/15.59 (assume-push @p103 @t41) % 15.32/15.59 (step @p52 :rule instantiate :premises (@p36) :args ((@list @t30 @t33 @t34))) % 15.32/15.59 (step-pop @p104 :rule scope :premises (@p52)) % 15.32/15.59 (step @p53 :rule process_scope :premises (@p104) :args (@t40)) % 15.32/15.59 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 15.32/15.59 (step @p56 :rule implies_elim :premises (@p55)) % 15.32/15.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p36) :args (@t36 @t42 (@list @t41))) % 15.32/15.59 (step @p58 :rule bool-eq-true :args (@t43)) % 15.32/15.59 (step @p59 :rule absorb :args ((= (or true @t44) true))) % 15.32/15.59 (step @p60 :rule refl :args (@t44)) % 15.32/15.59 (step @p61 :rule eq-refl :args (@t30)) % 15.32/15.59 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t45)) % 15.32/15.59 (step @p63 :rule trans :premises (@p62 @p59)) % 15.32/15.59 (step @p64 :rule refl :args (@t43)) % 15.32/15.59 (step @p65 :rule cong :premises (@p64 @p63) :args (@t46)) % 15.32/15.59 (step @p66 :rule trans :premises (@p65 @p58)) % 15.32/15.59 (step @p67 :rule refl :args (@t36)) % 15.32/15.59 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t36 @t46))) % 15.32/15.59 (assume-push @p105 @t36) % 15.32/15.59 (step @p70 :rule instantiate :premises (@p57) :args ((@list @t30))) % 15.32/15.59 (step-pop @p106 :rule scope :premises (@p70)) % 15.32/15.59 (step @p71 :rule process_scope :premises (@p106) :args (@t46)) % 15.32/15.59 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 15.32/15.59 (step @p74 :rule implies_elim :premises (@p73)) % 15.32/15.59 (step @p75 :rule chain_m_resolution :premises (@p74 @p57) :args (@t43 @t42 (@list @t36))) % 15.32/15.59 (step @p76 :rule cnf_or_pos :args (@t50)) % 15.32/15.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t49 @t48 (not @t50)))) % 15.32/15.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p26) :args (@t48 (@list false false) (@list @t43 @t50))) % 15.32/15.59 (step @p79 :rule symm :premises (@p78)) % 15.32/15.59 (step @p80 :rule eq-symm :args (@t47 @t51)) % 15.32/15.59 (step @p81 :rule refl :args (@t6)) % 15.32/15.59 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t6 @t52))) % 15.32/15.59 (assume-push @p107 @t6) % 15.32/15.59 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t34 @t31))) % 15.32/15.59 (step-pop @p108 :rule scope :premises (@p84)) % 15.32/15.59 (step @p85 :rule process_scope :premises (@p108) :args (@t52)) % 15.32/15.59 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 15.32/15.59 (step @p88 :rule implies_elim :premises (@p87)) % 15.32/15.59 (step @p89 :rule chain_m_resolution :premises (@p88 @p3) :args ((= @t51 @t47) @t42 (@list @t6))) % 15.32/15.59 (step @p90 :rule trans :premises (@p89 @p79 @p17)) % 15.32/15.59 (step @p91 :rule symm :premises (@p90)) % 15.32/15.59 (step @p92 :rule trans :premises (@p17 @p91)) % 15.32/15.59 (step @p93 :rule true_intro :premises (@p92)) % 15.32/15.59 (step @p94 :rule eq-symm :args (@t25 @t19)) % 15.32/15.59 (step @p95 :rule cong :premises (@p94) :args (@t26)) % 15.32/15.59 (step @p96 :rule cong :premises (@p95) :args (@t27)) % 15.32/15.59 (step @p97 :rule eq_resolve :premises (@p9 @p96)) % 15.32/15.59 (step @p98 :rule skolemize :premises (@p97)) % 15.32/15.59 (step @p99 :rule false_intro :premises (@p98)) % 15.32/15.59 (step @p100 :rule symm :premises (@p99)) % 15.32/15.59 (step @p101 :rule trans :premises (@p100 @p93)) % 15.32/15.59 (step @p102 false :rule eq_resolve :premises (@p101 @p11)) % 15.32/15.59 ) % 15.32/15.59 % SZS output end Proof % 15.32/15.59 % cvc5 exiting %------------------------------------------------------------------------------