%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET920+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 : n009.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 08:48:59 AM UTC 2026 % Result : Theorem 27.51s 27.73s % Output : Proof 27.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET920+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:17:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 27.51/27.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.51/27.73 --- Run --no-e-matching --full-saturate-quant at 6... % 27.51/27.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.51/27.73 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.51/27.73 % SZS status Theorem % 27.51/27.73 % SZS output start Proof % 27.51/27.73 ( % 27.51/27.73 (declare-sort $$unsorted 0) % 27.51/27.73 (declare-const tptp.empty (-> $$unsorted Bool)) % 27.51/27.73 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 27.51/27.73 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 27.51/27.73 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 27.51/27.73 (define @t1 () (@var "A" $$unsorted)) % 27.51/27.73 (define @t2 () (@var "B" $$unsorted)) % 27.51/27.73 (define @t3 () (@list @t1 @t2)) % 27.51/27.73 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 27.51/27.73 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 27.51/27.73 (define @t6 () (@var "D" $$unsorted)) % 27.51/27.73 (define @t7 () (or (= @t6 @t1) (= @t6 @t2))) % 27.51/27.73 (define @t8 () (@var "C" $$unsorted)) % 27.51/27.73 (define @t9 () (tptp.in @t6 @t8)) % 27.51/27.73 (define @t10 () (= @t9 @t7)) % 27.51/27.73 (define @t11 () (@list @t6)) % 27.51/27.73 (define @t12 () (forall @t11 @t10)) % 27.51/27.73 (define @t13 () (= (= @t8 @t4) @t12)) % 27.51/27.73 (define @t14 () (@list @t1 @t2 @t8)) % 27.51/27.73 (define @t15 () (forall @t14 @t13)) % 27.51/27.73 (define @t16 () (forall @t11 (= @t9 (and (tptp.in @t6 @t1) (tptp.in @t6 @t2))))) % 27.51/27.73 (define @t17 () (= (= @t8 @t5) @t16)) % 27.51/27.73 (define @t18 () (forall @t14 @t17)) % 27.51/27.73 (define @t19 () (tptp.empty @t1)) % 27.51/27.73 (define @t20 () (@list @t1)) % 27.51/27.73 (define @t21 () (tptp.in @t1 @t8)) % 27.51/27.73 (define @t22 () (tptp.set_intersection2 @t4 @t8)) % 27.51/27.73 (define @t23 () (=> (= @t22 @t4) @t21)) % 27.51/27.73 (define @t24 () (forall @t14 @t23)) % 27.51/27.73 (define @t25 () (not @t24)) % 27.51/27.73 (define @t26 () (= @t4 @t22)) % 27.51/27.73 (define @t27 () (forall @t14 (or (not @t26) @t21))) % 27.51/27.73 (define @t28 () (@quantifiers_skolemize @t27 1)) % 27.51/27.73 (define @t29 () (@quantifiers_skolemize @t27 0)) % 27.51/27.73 (define @t30 () (tptp.unordered_pair @t29 @t28)) % 27.51/27.73 (define @t31 () (tptp.in @t6 @t30)) % 27.51/27.73 (define @t32 () (forall @t11 (= @t31 (or (= @t6 @t29) (= @t6 @t28))))) % 27.51/27.73 (define @t33 () (or (= @t29 @t6) (= @t28 @t6))) % 27.51/27.73 (define @t34 () (= @t31 @t33)) % 27.51/27.73 (define @t35 () (forall @t11 @t34)) % 27.51/27.73 (define @t36 () (= (= @t30 @t30) @t35)) % 27.51/27.73 (define @t37 () (forall @t14 (= (= @t4 @t8) (forall @t11 (= @t9 (or (= @t1 @t6) (= @t2 @t6))))))) % 27.51/27.73 (define @t38 () (@list false)) % 27.51/27.73 (define @t39 () (tptp.in @t29 @t30)) % 27.51/27.73 (define @t40 () (= @t29 @t28)) % 27.51/27.73 (define @t41 () (or (= @t29 @t29) @t40)) % 27.51/27.73 (define @t42 () (= @t39 @t41)) % 27.51/27.73 (define @t43 () (@list @t29)) % 27.51/27.73 (define @t44 () (@quantifiers_skolemize @t27 2)) % 27.51/27.73 (define @t45 () (tptp.in @t29 @t44)) % 27.51/27.73 (define @t46 () (tptp.set_intersection2 @t30 @t44)) % 27.51/27.73 (define @t47 () (= @t30 @t46)) % 27.51/27.73 (define @t48 () (not @t47)) % 27.51/27.73 (define @t49 () (or @t48 @t45)) % 27.51/27.73 (define @t50 () (@list true)) % 27.51/27.73 (define @t51 () (@list @t49)) % 27.51/27.73 (define @t52 () (and @t39 @t45)) % 27.51/27.73 (define @t53 () (not @t52)) % 27.51/27.73 (define @t54 () (= @t5 @t8)) % 27.51/27.73 (define @t55 () (forall @t11 (= @t31 (and @t31 (tptp.in @t6 @t44))))) % 27.51/27.73 (define @t56 () (= @t55 (= @t46 @t30))) % 27.51/27.73 (define @t57 () (forall @t14 (= @t16 @t54))) % 27.51/27.73 (define @t58 () (= @t47 @t55)) % 27.51/27.73 (define @t59 () (= @t39 @t52)) % 27.51/27.73 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 27.51/27.73 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 27.51/27.73 (assume @p3 (forall @t3 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 27.51/27.73 (assume @p4 @t15) % 27.51/27.73 (assume @p5 @t18) % 27.51/27.73 (assume @p6 (forall @t3 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 27.51/27.73 (assume @p7 (exists @t20 @t19)) % 27.51/27.73 (assume @p8 (exists @t20 (not @t19))) % 27.51/27.73 (assume @p9 @t25) % 27.51/27.73 (assume @p10 true) % 27.51/27.73 (step @p11 :rule eq-symm :args (@t6 @t2)) % 27.51/27.73 (step @p12 :rule eq-symm :args (@t6 @t1)) % 27.51/27.73 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t7)) % 27.51/27.73 (step @p14 :rule refl :args (@t9)) % 27.51/27.73 (step @p15 :rule cong :premises (@p14 @p13) :args (@t10)) % 27.51/27.73 (step @p16 :rule cong :premises (@p15) :args (@t12)) % 27.51/27.73 (step @p17 :rule eq-symm :args (@t8 @t4)) % 27.51/27.73 (step @p18 :rule cong :premises (@p17 @p16) :args (@t13)) % 27.51/27.73 (step @p19 :rule cong :premises (@p18) :args (@t15)) % 27.51/27.73 (step @p20 :rule eq_resolve :premises (@p4 @p19)) % 27.51/27.73 (step @p21 :rule bool-eq-true :args (@t32)) % 27.51/27.73 (step @p22 :rule eq-symm :args (true @t32)) % 27.51/27.73 (step @p23 :rule trans :premises (@p22 @p21)) % 27.51/27.73 (step @p24 :rule eq-symm :args (@t28 @t6)) % 27.51/27.73 (step @p25 :rule eq-symm :args (@t29 @t6)) % 27.51/27.73 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t33)) % 27.51/27.73 (step @p27 :rule refl :args (@t31)) % 27.51/27.73 (step @p28 :rule cong :premises (@p27 @p26) :args (@t34)) % 27.51/27.73 (step @p29 :rule cong :premises (@p28) :args (@t35)) % 27.51/27.73 (step @p30 :rule eq-refl :args (@t30)) % 27.51/27.73 (step @p31 :rule cong :premises (@p30 @p29) :args (@t36)) % 27.51/27.73 (step @p32 :rule trans :premises (@p31 @p23)) % 27.51/27.73 (step @p33 :rule refl :args (@t37)) % 27.51/27.73 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t37 @t36))) % 27.51/27.73 (assume-push @p110 @t37) % 27.51/27.73 (step @p36 :rule instantiate :premises (@p20) :args ((@list @t29 @t28 @t30))) % 27.51/27.73 (step-pop @p111 :rule scope :premises (@p36)) % 27.51/27.73 (step @p37 :rule process_scope :premises (@p111) :args (@t36)) % 27.51/27.73 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 27.51/27.73 (step @p40 :rule implies_elim :premises (@p39)) % 27.51/27.73 (step @p41 :rule chain_m_resolution :premises (@p40 @p20) :args (@t32 @t38 (@list @t37))) % 27.51/27.73 (step @p42 :rule bool-eq-true :args (@t39)) % 27.51/27.73 (step @p43 :rule absorb :args ((= (or true @t40) true))) % 27.51/27.73 (step @p44 :rule refl :args (@t40)) % 27.51/27.73 (step @p45 :rule eq-refl :args (@t29)) % 27.51/27.73 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t41)) % 27.51/27.73 (step @p47 :rule trans :premises (@p46 @p43)) % 27.51/27.73 (step @p48 :rule refl :args (@t39)) % 27.51/27.73 (step @p49 :rule cong :premises (@p48 @p47) :args (@t42)) % 27.51/27.73 (step @p50 :rule trans :premises (@p49 @p42)) % 27.51/27.73 (step @p51 :rule refl :args (@t32)) % 27.51/27.73 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t32 @t42))) % 27.51/27.73 (assume-push @p112 @t32) % 27.51/27.73 (step @p54 :rule instantiate :premises (@p41) :args (@t43)) % 27.51/27.73 (step-pop @p113 :rule scope :premises (@p54)) % 27.51/27.73 (step @p55 :rule process_scope :premises (@p113) :args (@t42)) % 27.51/27.73 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 27.51/27.73 (step @p58 :rule implies_elim :premises (@p57)) % 27.51/27.73 (step @p59 :rule chain_m_resolution :premises (@p58 @p41) :args (@t39 @t38 (@list @t32))) % 27.51/27.73 (step @p60 :rule bool-impl-elim :args (@t26 @t21)) % 27.51/27.73 (step @p61 :rule cong :premises (@p60) :args ((forall @t14 (=> @t26 @t21)))) % 27.51/27.73 (step @p62 :rule refl :args (@t21)) % 27.51/27.73 (step @p63 :rule eq-symm :args (@t22 @t4)) % 27.51/27.73 (step @p64 :rule cong :premises (@p63 @p62) :args (@t23)) % 27.51/27.73 (step @p65 :rule cong :premises (@p64) :args (@t24)) % 27.51/27.73 (step @p66 :rule trans :premises (@p65 @p61)) % 27.51/27.73 (step @p67 :rule cong :premises (@p66) :args (@t25)) % 27.51/27.73 (step @p68 :rule eq_resolve :premises (@p9 @p67)) % 27.51/27.73 (step @p69 :rule skolemize :premises (@p68)) % 27.51/27.73 (step @p70 :rule cnf_or_neg :args (@t49 1)) % 27.51/27.73 (step @p71 :rule chain_m_resolution :premises (@p70 @p69) :args ((not @t45) @t50 @t51)) % 27.51/27.73 (step @p72 :rule cnf_and_pos :args (@t52 1)) % 27.51/27.73 (step @p73 :rule reordering :premises (@p72) :args ((or @t45 @t53))) % 27.51/27.73 (step @p74 :rule chain_m_resolution :premises (@p73 @p71) :args (@t53 @t50 (@list @t45))) % 27.51/27.73 (step @p75 :rule eq-symm :args (@t54 @t16)) % 27.51/27.73 (step @p76 :rule refl :args (@t16)) % 27.51/27.73 (step @p77 :rule eq-symm :args (@t8 @t5)) % 27.51/27.73 (step @p78 :rule cong :premises (@p77 @p76) :args (@t17)) % 27.51/27.73 (step @p79 :rule trans :premises (@p78 @p75)) % 27.51/27.73 (step @p80 :rule cong :premises (@p79) :args (@t18)) % 27.51/27.73 (step @p81 :rule eq_resolve :premises (@p5 @p80)) % 27.51/27.73 (step @p82 :rule eq-symm :args (@t55 @t47)) % 27.51/27.73 (step @p83 :rule eq-symm :args (@t46 @t30)) % 27.51/27.73 (step @p84 :rule refl :args (@t55)) % 27.51/27.73 (step @p85 :rule cong :premises (@p84 @p83) :args (@t56)) % 27.51/27.73 (step @p86 :rule trans :premises (@p85 @p82)) % 27.51/27.73 (step @p87 :rule refl :args (@t57)) % 27.51/27.73 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t57 @t56))) % 27.51/27.73 (assume-push @p114 @t57) % 27.51/27.73 (step @p90 :rule instantiate :premises (@p81) :args ((@list @t30 @t44 @t30))) % 27.51/27.73 (step-pop @p115 :rule scope :premises (@p90)) % 27.51/27.73 (step @p91 :rule process_scope :premises (@p115) :args (@t56)) % 27.51/27.73 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 27.51/27.73 (step @p94 :rule implies_elim :premises (@p93)) % 27.51/27.73 (step @p95 :rule chain_m_resolution :premises (@p94 @p81) :args (@t58 @t38 (@list @t57))) % 27.51/27.73 (step @p96 :rule bool-double-not-elim :args (@t47)) % 27.51/27.73 (step @p97 :rule refl :args (@t49)) % 27.51/27.73 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t49 (not @t48)))) % 27.51/27.73 (step @p99 :rule cnf_or_neg :args (@t49 0)) % 27.51/27.73 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 27.51/27.73 (step @p101 :rule reordering :premises (@p100) :args ((or @t47 @t49))) % 27.51/27.73 (step @p102 :rule chain_m_resolution :premises (@p101 @p69) :args (@t47 @t50 @t51)) % 27.51/27.73 (step @p103 :rule cnf_equiv_pos1 :args (@t58)) % 27.51/27.73 (step @p104 :rule reordering :premises (@p103) :args ((or @t48 @t55 (not @t58)))) % 27.51/27.73 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p95) :args (@t55 (@list false false) (@list @t47 @t58))) % 27.51/27.73 (step @p106 :rule instantiate :premises (@p105) :args (@t43)) % 27.51/27.73 (step @p107 :rule cnf_equiv_pos1 :args (@t59)) % 27.51/27.73 (step @p108 :rule reordering :premises (@p107) :args ((or (not @t39) @t52 (not @t59)))) % 27.51/27.73 (step @p109 false :rule chain_m_resolution :premises (@p108 @p106 @p74 @p59) :args (false (@list false true false) (@list @t59 @t52 @t39))) % 27.51/27.73 ) % 27.51/27.73 % SZS output end Proof % 27.51/27.73 % cvc5 exiting %------------------------------------------------------------------------------