%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET893+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 08:48:56 AM UTC 2026 % Result : Theorem 15.40s 15.61s % Output : Proof 15.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET893+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n028.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:17:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.40/15.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.61 --- Run --no-e-matching --full-saturate-quant at 6... % 15.40/15.61 % SZS status Theorem % 15.40/15.61 % SZS output start Proof % 15.40/15.61 ( % 15.40/15.61 (declare-sort $$unsorted 0) % 15.40/15.61 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.40/15.61 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.40/15.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.40/15.61 (define @t1 () (@var "A" $$unsorted)) % 15.40/15.61 (define @t2 () (@var "B" $$unsorted)) % 15.40/15.61 (define @t3 () (@list @t1 @t2)) % 15.40/15.61 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.40/15.61 (define @t5 () (@var "C" $$unsorted)) % 15.40/15.61 (define @t6 () (tptp.in @t5 @t2)) % 15.40/15.61 (define @t7 () (= @t6 (= @t5 @t1))) % 15.40/15.61 (define @t8 () (@list @t5)) % 15.40/15.61 (define @t9 () (forall @t8 @t7)) % 15.40/15.61 (define @t10 () (tptp.singleton @t1)) % 15.40/15.61 (define @t11 () (= @t2 @t10)) % 15.40/15.61 (define @t12 () (= @t11 @t9)) % 15.40/15.61 (define @t13 () (forall @t3 @t12)) % 15.40/15.61 (define @t14 () (tptp.ordered_pair @t1 @t2)) % 15.40/15.61 (define @t15 () (@var "D" $$unsorted)) % 15.40/15.61 (define @t16 () (@list @t1 @t2 @t5 @t15)) % 15.40/15.61 (define @t17 () (tptp.empty @t1)) % 15.40/15.61 (define @t18 () (@list @t1)) % 15.40/15.61 (define @t19 () (= @t1 @t5)) % 15.40/15.61 (define @t20 () (forall @t16 (= (tptp.in @t14 (tptp.cartesian_product2 (tptp.singleton @t5) (tptp.singleton @t15))) (and @t19 (= @t2 @t15))))) % 15.40/15.61 (define @t21 () (@quantifiers_skolemize @t20 3)) % 15.40/15.61 (define @t22 () (tptp.singleton @t21)) % 15.40/15.61 (define @t23 () (@quantifiers_skolemize @t20 2)) % 15.40/15.61 (define @t24 () (tptp.singleton @t23)) % 15.40/15.61 (define @t25 () (@quantifiers_skolemize @t20 1)) % 15.40/15.61 (define @t26 () (@quantifiers_skolemize @t20 0)) % 15.40/15.61 (define @t27 () (= @t25 @t21)) % 15.40/15.61 (define @t28 () (= @t26 @t23)) % 15.40/15.61 (define @t29 () (and @t28 @t27)) % 15.40/15.61 (define @t30 () (tptp.in (tptp.ordered_pair @t26 @t25) (tptp.cartesian_product2 @t24 @t22))) % 15.40/15.61 (define @t31 () (= @t30 @t29)) % 15.40/15.61 (define @t32 () (tptp.in @t25 @t22)) % 15.40/15.61 (define @t33 () (tptp.in @t26 @t24)) % 15.40/15.61 (define @t34 () (and @t33 @t32)) % 15.40/15.61 (define @t35 () (= @t30 @t34)) % 15.40/15.61 (define @t36 () (not @t35)) % 15.40/15.61 (define @t37 () (not @t30)) % 15.40/15.61 (define @t38 () (not @t34)) % 15.40/15.61 (define @t39 () (tptp.in @t5 @t24)) % 15.40/15.61 (define @t40 () (forall @t8 (= (= @t5 @t23) @t39))) % 15.40/15.61 (define @t41 () (= @t23 @t5)) % 15.40/15.61 (define @t42 () (forall @t8 (= @t39 @t41))) % 15.40/15.61 (define @t43 () (= (= @t24 @t24) @t42)) % 15.40/15.61 (define @t44 () (forall @t3 (= @t11 (forall @t8 (= @t6 @t19))))) % 15.40/15.61 (define @t45 () (@list false)) % 15.40/15.61 (define @t46 () (@list @t44)) % 15.40/15.61 (define @t47 () (= @t28 @t33)) % 15.40/15.61 (define @t48 () (not @t47)) % 15.40/15.61 (define @t49 () (not @t33)) % 15.40/15.61 (define @t50 () (tptp.in @t5 @t22)) % 15.40/15.61 (define @t51 () (forall @t8 (= (= @t5 @t21) @t50))) % 15.40/15.61 (define @t52 () (= @t21 @t5)) % 15.40/15.61 (define @t53 () (forall @t8 (= @t50 @t52))) % 15.40/15.61 (define @t54 () (= (= @t22 @t22) @t53)) % 15.40/15.61 (define @t55 () (= @t27 @t32)) % 15.40/15.61 (define @t56 () (not @t55)) % 15.40/15.61 (define @t57 () (not @t32)) % 15.40/15.61 (define @t58 () (not @t29)) % 15.40/15.61 (define @t59 () (@list @t29)) % 15.40/15.61 (define @t60 () (@list false false)) % 15.40/15.61 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.40/15.61 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.40/15.61 (assume @p3 @t13) % 15.40/15.61 (assume @p4 (forall @t3 (= @t14 (tptp.unordered_pair @t4 @t10)))) % 15.40/15.61 (assume @p5 (forall @t3 (not (tptp.empty @t14)))) % 15.40/15.61 (assume @p6 (forall @t16 (= (tptp.in @t14 (tptp.cartesian_product2 @t5 @t15)) (and (tptp.in @t1 @t5) (tptp.in @t2 @t15))))) % 15.40/15.61 (assume @p7 (exists @t18 @t17)) % 15.40/15.61 (assume @p8 (exists @t18 (not @t17))) % 15.40/15.61 (assume @p9 (not @t20)) % 15.40/15.61 (assume @p10 true) % 15.40/15.61 (step @p11 :rule instantiate :premises (@p6) :args ((@list @t26 @t25 @t24 @t22))) % 15.40/15.61 (step @p12 :rule skolemize :premises (@p9)) % 15.40/15.61 (step @p13 :rule cnf_equiv_neg2 :args (@t31)) % 15.40/15.61 (step @p14 :rule cnf_equiv_pos1 :args (@t35)) % 15.40/15.61 (step @p15 :rule reordering :premises (@p14) :args ((or @t37 @t34 @t36))) % 15.40/15.61 (step @p16 :rule cnf_and_pos :args (@t34 0)) % 15.40/15.61 (step @p17 :rule reordering :premises (@p16) :args ((or @t33 @t38))) % 15.40/15.61 (step @p18 :rule cnf_and_pos :args (@t34 1)) % 15.40/15.61 (step @p19 :rule reordering :premises (@p18) :args ((or @t32 @t38))) % 15.40/15.61 (step @p20 :rule eq-symm :args (@t5 @t1)) % 15.40/15.61 (step @p21 :rule refl :args (@t6)) % 15.40/15.61 (step @p22 :rule cong :premises (@p21 @p20) :args (@t7)) % 15.40/15.61 (step @p23 :rule cong :premises (@p22) :args (@t9)) % 15.40/15.61 (step @p24 :rule refl :args (@t11)) % 15.40/15.61 (step @p25 :rule cong :premises (@p24 @p23) :args (@t12)) % 15.40/15.61 (step @p26 :rule cong :premises (@p25) :args (@t13)) % 15.40/15.61 (step @p27 :rule eq_resolve :premises (@p3 @p26)) % 15.40/15.61 (step @p28 :rule bool-eq-true :args (@t40)) % 15.40/15.61 (step @p29 :rule eq-symm :args (true @t40)) % 15.40/15.61 (step @p30 :rule trans :premises (@p29 @p28)) % 15.40/15.61 (step @p31 :rule refl :args (@t39)) % 15.40/15.61 (step @p32 :rule eq-symm :args (@t23 @t5)) % 15.40/15.61 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t41 @t39))) % 15.40/15.61 (step @p34 :rule eq-symm :args (@t39 @t41)) % 15.40/15.61 (step @p35 :rule trans :premises (@p34 @p33)) % 15.40/15.61 (step @p36 :rule cong :premises (@p35) :args (@t42)) % 15.40/15.61 (step @p37 :rule eq-refl :args (@t24)) % 15.40/15.61 (step @p38 :rule cong :premises (@p37 @p36) :args (@t43)) % 15.40/15.61 (step @p39 :rule trans :premises (@p38 @p30)) % 15.40/15.61 (step @p40 :rule refl :args (@t44)) % 15.40/15.61 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t44 @t43))) % 15.40/15.61 (assume-push @p98 @t44) % 15.40/15.61 (step @p43 :rule instantiate :premises (@p27) :args ((@list @t23 @t24))) % 15.40/15.61 (step-pop @p99 :rule scope :premises (@p43)) % 15.40/15.61 (step @p44 :rule process_scope :premises (@p99) :args (@t43)) % 15.40/15.61 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 15.40/15.61 (step @p47 :rule implies_elim :premises (@p46)) % 15.40/15.61 (step @p48 :rule chain_m_resolution :premises (@p47 @p27) :args (@t40 @t45 @t46)) % 15.40/15.61 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t26))) % 15.40/15.61 (step @p50 :rule cnf_equiv_pos2 :args (@t47)) % 15.40/15.61 (step @p51 :rule reordering :premises (@p50) :args ((or @t28 @t49 @t48))) % 15.40/15.61 (step @p52 :rule bool-eq-true :args (@t51)) % 15.40/15.61 (step @p53 :rule eq-symm :args (true @t51)) % 15.40/15.61 (step @p54 :rule trans :premises (@p53 @p52)) % 15.40/15.61 (step @p55 :rule refl :args (@t50)) % 15.40/15.61 (step @p56 :rule eq-symm :args (@t21 @t5)) % 15.40/15.61 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t52 @t50))) % 15.40/15.61 (step @p58 :rule eq-symm :args (@t50 @t52)) % 15.40/15.61 (step @p59 :rule trans :premises (@p58 @p57)) % 15.40/15.61 (step @p60 :rule cong :premises (@p59) :args (@t53)) % 15.40/15.61 (step @p61 :rule eq-refl :args (@t22)) % 15.40/15.61 (step @p62 :rule cong :premises (@p61 @p60) :args (@t54)) % 15.40/15.61 (step @p63 :rule trans :premises (@p62 @p54)) % 15.40/15.61 (step @p64 :rule cong :premises (@p40 @p63) :args ((=> @t44 @t54))) % 15.40/15.61 (assume-push @p100 @t44) % 15.40/15.61 (step @p66 :rule instantiate :premises (@p27) :args ((@list @t21 @t22))) % 15.40/15.61 (step-pop @p101 :rule scope :premises (@p66)) % 15.40/15.61 (step @p67 :rule process_scope :premises (@p101) :args (@t54)) % 15.40/15.61 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 15.40/15.61 (step @p70 :rule implies_elim :premises (@p69)) % 15.40/15.61 (step @p71 :rule chain_m_resolution :premises (@p70 @p27) :args (@t51 @t45 @t46)) % 15.40/15.61 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t25))) % 15.40/15.61 (step @p73 :rule cnf_equiv_pos2 :args (@t55)) % 15.40/15.61 (step @p74 :rule reordering :premises (@p73) :args ((or @t27 @t57 @t56))) % 15.40/15.61 (step @p75 :rule cnf_and_neg :args (@t29)) % 15.40/15.61 (step @p76 :rule chain_m_resolution :premises (@p75 @p74 @p72 @p51 @p49 @p19 @p17 @p15 @p11 @p13 @p12) :args (@t37 (@list false false false false false false false false true true) (@list @t27 @t55 @t28 @t47 @t32 @t33 @t34 @t35 @t29 @t31))) % 15.40/15.61 (step @p77 :rule cnf_equiv_pos2 :args (@t35)) % 15.40/15.61 (step @p78 :rule reordering :premises (@p77) :args ((or @t30 @t38 @t36))) % 15.40/15.61 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p11) :args (@t38 (@list true false) (@list @t30 @t35))) % 15.40/15.61 (step @p80 :rule cnf_equiv_neg1 :args (@t31)) % 15.40/15.61 (step @p81 :rule reordering :premises (@p80) :args ((or @t30 @t29 @t31))) % 15.40/15.61 (step @p82 :rule chain_m_resolution :premises (@p81 @p76 @p12) :args (@t29 (@list true true) (@list @t30 @t31))) % 15.40/15.61 (step @p83 :rule cnf_and_pos :args (@t29 0)) % 15.40/15.61 (step @p84 :rule reordering :premises (@p83) :args ((or @t28 @t58))) % 15.40/15.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p82) :args (@t28 @t45 @t59)) % 15.40/15.61 (step @p86 :rule cnf_equiv_pos1 :args (@t47)) % 15.40/15.61 (step @p87 :rule reordering :premises (@p86) :args ((or (not @t28) @t33 @t48))) % 15.40/15.61 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p49) :args (@t33 @t60 (@list @t28 @t47))) % 15.40/15.61 (step @p89 :rule cnf_and_pos :args (@t29 1)) % 15.40/15.61 (step @p90 :rule reordering :premises (@p89) :args ((or @t27 @t58))) % 15.40/15.61 (step @p91 :rule chain_m_resolution :premises (@p90 @p82) :args (@t27 @t45 @t59)) % 15.40/15.61 (step @p92 :rule cnf_equiv_pos1 :args (@t55)) % 15.40/15.61 (step @p93 :rule reordering :premises (@p92) :args ((or (not @t27) @t32 @t56))) % 15.40/15.61 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p72) :args (@t32 @t60 (@list @t27 @t55))) % 15.40/15.61 (step @p95 :rule cnf_and_neg :args (@t34)) % 15.40/15.61 (step @p96 :rule reordering :premises (@p95) :args ((or @t57 @t49 @t34))) % 15.40/15.61 (step @p97 false :rule chain_m_resolution :premises (@p96 @p94 @p88 @p79) :args (false (@list false false true) (@list @t32 @t33 @t34))) % 15.40/15.61 ) % 15.40/15.61 % SZS output end Proof % 15.40/15.61 % cvc5 exiting %------------------------------------------------------------------------------