%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT031_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:14:23 AM UTC 2026 % Result : Theorem 0.41s 0.60s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT031_1 : TPTP v9.2.1. Released v5.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n003.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 : Mon Jun 1 22:26:29 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_ARI % 0.41/0.60 --- Run --finite-model-find --decision=internal at 45... % 0.41/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.41/0.60 % SZS status Theorem % 0.41/0.60 % SZS output start Proof % 0.41/0.60 ( % 0.41/0.60 (declare-sort tptp.collection 0) % 0.41/0.60 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 0.41/0.60 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 0.41/0.60 (declare-const tptp.in (-> Int tptp.collection Bool)) % 0.41/0.60 (declare-const tptp.empty tptp.collection) % 0.41/0.60 (define @t1 () (@var "U" Int)) % 0.41/0.60 (define @t2 () (@var "W" tptp.collection)) % 0.41/0.60 (define @t3 () (@var "V" Int)) % 0.41/0.60 (define @t4 () (@var "Y" tptp.collection)) % 0.41/0.60 (define @t5 () (@var "X" Int)) % 0.41/0.60 (define @t6 () (@var "X1" tptp.collection)) % 0.41/0.60 (define @t7 () (@var "X2" Int)) % 0.41/0.60 (define @t8 () (@var "Z" Int)) % 0.41/0.60 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 0.41/0.60 (define @t10 () (@var "X4" tptp.collection)) % 0.41/0.60 (define @t11 () (@var "X5" Int)) % 0.41/0.60 (define @t12 () (@var "X3" Int)) % 0.41/0.60 (define @t13 () (@var "U" tptp.collection)) % 0.41/0.60 (define @t14 () (tptp.in @t3 @t13)) % 0.41/0.60 (define @t15 () (and (<= 20 @t3) (<= @t3 40) @t14)) % 0.41/0.60 (define @t16 () (@list @t3)) % 0.41/0.60 (define @t17 () (exists @t16 @t15)) % 0.41/0.60 (define @t18 () (tptp.add 50 tptp.empty)) % 0.41/0.60 (define @t19 () (tptp.add 30 @t18)) % 0.41/0.60 (define @t20 () (tptp.add 10 @t19)) % 0.41/0.60 (define @t21 () (= @t13 @t20)) % 0.41/0.60 (define @t22 () (=> @t21 @t17)) % 0.41/0.60 (define @t23 () (@list @t13)) % 0.41/0.60 (define @t24 () (forall @t23 @t22)) % 0.41/0.60 (define @t25 () (not @t24)) % 0.41/0.60 (define @t26 () (>= @t3 41)) % 0.41/0.60 (define @t27 () (>= @t3 20)) % 0.41/0.60 (define @t28 () (not @t27)) % 0.41/0.60 (define @t29 () (forall @t16 (or @t28 @t26 (not (tptp.in @t3 @t20))))) % 0.41/0.60 (define @t30 () (not @t29)) % 0.41/0.60 (define @t31 () (not (= @t20 @t20))) % 0.41/0.60 (define @t32 () (or @t31 @t30)) % 0.41/0.60 (define @t33 () (not @t14)) % 0.41/0.60 (define @t34 () (not (forall @t16 (or @t28 @t26 @t33)))) % 0.41/0.60 (define @t35 () (not @t21)) % 0.41/0.60 (define @t36 () (or @t35 @t35 @t34)) % 0.41/0.60 (define @t37 () (or @t35 @t34)) % 0.41/0.60 (define @t38 () (not @t26)) % 0.41/0.60 (define @t39 () (not @t38)) % 0.41/0.60 (define @t40 () (or @t28 @t39 @t33)) % 0.41/0.60 (define @t41 () (and @t27 @t38 @t14)) % 0.41/0.60 (define @t42 () (forall @t16 (not @t41))) % 0.41/0.60 (define @t43 () (not @t42)) % 0.41/0.60 (define @t44 () (+ 40 1)) % 0.41/0.60 (define @t45 () (>= @t3 @t44)) % 0.41/0.60 (define @t46 () (tptp.in 30 @t20)) % 0.41/0.60 (define @t47 () (not @t46)) % 0.41/0.60 (define @t48 () (>= 30 41)) % 0.41/0.60 (define @t49 () (>= 30 20)) % 0.41/0.60 (define @t50 () (not @t49)) % 0.41/0.60 (define @t51 () (or @t50 @t48 @t47)) % 0.41/0.60 (define @t52 () (tptp.in 30 @t19)) % 0.41/0.60 (define @t53 () (= @t52 @t46)) % 0.41/0.60 (define @t54 () (not @t53)) % 0.41/0.60 (define @t55 () (= 30 10)) % 0.41/0.60 (define @t56 () (or @t52 @t55)) % 0.41/0.60 (define @t57 () (= @t56 @t46)) % 0.41/0.60 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 0.41/0.60 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 0.41/0.60 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 0.41/0.60 (assume @p4 @t9) % 0.41/0.60 (assume @p5 (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 0.41/0.60 (assume @p6 @t25) % 0.41/0.60 (assume @p7 true) % 0.41/0.60 (step @p8 :rule bool-double-not-elim :args (@t29)) % 0.41/0.60 (step @p9 :rule aci_norm :args ((= (or false @t30) @t30))) % 0.41/0.60 (step @p10 :rule refl :args (@t30)) % 0.41/0.60 (step @p11 :rule evaluate :args ((not true))) % 0.41/0.60 (step @p12 :rule eq-refl :args (@t20)) % 0.41/0.60 (step @p13 :rule cong :premises (@p12) :args (@t31)) % 0.41/0.60 (step @p14 :rule trans :premises (@p13 @p11)) % 0.41/0.60 (step @p15 :rule nary_cong :premises (@p14 @p10) :args (@t32)) % 0.41/0.60 (step @p16 :rule trans :premises (@p15 @p9)) % 0.41/0.60 (step @p17 :rule quant-var-elim-eq :args ((= (forall @t23 @t36) @t32))) % 0.41/0.60 (step @p18 :rule aci_norm :args ((= @t37 @t36))) % 0.41/0.60 (step @p19 :rule cong :premises (@p18) :args ((forall @t23 @t37))) % 0.41/0.60 (step @p20 :rule trans :premises (@p19 @p17)) % 0.41/0.60 (step @p21 :rule trans :premises (@p20 @p16)) % 0.41/0.60 (step @p22 :rule bool-impl-elim :args (@t21 @t34)) % 0.41/0.60 (step @p23 :rule cong :premises (@p22) :args ((forall @t23 (=> @t21 @t34)))) % 0.41/0.60 (step @p24 :rule trans :premises (@p23 @p21)) % 0.41/0.60 (step @p25 :rule refl :args (@t33)) % 0.41/0.60 (step @p26 :rule bool-double-not-elim :args (@t26)) % 0.41/0.60 (step @p27 :rule refl :args (@t28)) % 0.41/0.60 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t40)) % 0.41/0.60 (step @p29 :rule aci_norm :args ((= (or @t28 (or @t39 @t33)) @t40))) % 0.41/0.60 (step @p30 :rule trans :premises (@p29 @p28)) % 0.41/0.60 (step @p31 :rule bool-and-de-morgan :args (@t38 @t14 true)) % 0.41/0.60 (step @p32 :rule nary_cong :premises (@p27 @p31) :args ((or @t28 (not (and @t38 @t14))))) % 0.41/0.60 (step @p33 :rule bool-and-de-morgan :args (@t27 @t38 (and @t14))) % 0.41/0.60 (step @p34 :rule trans :premises (@p33 @p32)) % 0.41/0.60 (step @p35 :rule trans :premises (@p34 @p30)) % 0.41/0.60 (step @p36 :rule cong :premises (@p35) :args (@t42)) % 0.41/0.60 (step @p37 :rule cong :premises (@p36) :args (@t43)) % 0.41/0.60 (step @p38 :rule exists-elim :args ((= (exists @t16 @t41) @t43))) % 0.41/0.60 (step @p39 :rule trans :premises (@p38 @p37)) % 0.41/0.60 (step @p40 :rule refl :args (@t14)) % 0.41/0.60 (step @p41 :rule evaluate :args (@t44)) % 0.41/0.60 (step @p42 :rule refl :args (@t3)) % 0.41/0.60 (step @p43 :rule cong :premises (@p42 @p41) :args (@t45)) % 0.41/0.60 (step @p44 :rule cong :premises (@p43) :args ((not @t45))) % 0.41/0.60 (step @p45 :rule arith-leq-norm :args (@t3 40)) % 0.41/0.60 (step @p46 :rule trans :premises (@p45 @p44)) % 0.41/0.60 (step @p47 :rule arith-elim-leq :args (20 @t3)) % 0.41/0.60 (step @p48 :rule nary_cong :premises (@p47 @p46 @p40) :args (@t15)) % 0.41/0.60 (step @p49 :rule cong :premises (@p48) :args (@t17)) % 0.41/0.60 (step @p50 :rule trans :premises (@p49 @p39)) % 0.41/0.60 (step @p51 :rule refl :args (@t21)) % 0.41/0.60 (step @p52 :rule cong :premises (@p51 @p50) :args (@t22)) % 0.41/0.60 (step @p53 :rule cong :premises (@p52) :args (@t24)) % 0.41/0.60 (step @p54 :rule trans :premises (@p53 @p24)) % 0.41/0.60 (step @p55 :rule cong :premises (@p54) :args (@t25)) % 0.41/0.60 (step @p56 :rule trans :premises (@p55 @p8)) % 0.41/0.60 (step @p57 :rule eq_resolve :premises (@p6 @p56)) % 0.41/0.60 (step @p58 :rule aci_norm :args ((= (or false false @t47) @t47))) % 0.41/0.60 (step @p59 :rule refl :args (@t47)) % 0.41/0.60 (step @p60 :rule evaluate :args (@t48)) % 0.41/0.60 (step @p61 :rule evaluate :args (@t49)) % 0.41/0.60 (step @p62 :rule cong :premises (@p61) :args (@t50)) % 0.41/0.60 (step @p63 :rule trans :premises (@p62 @p11)) % 0.41/0.60 (step @p64 :rule nary_cong :premises (@p63 @p60 @p59) :args (@t51)) % 0.41/0.60 (step @p65 :rule trans :premises (@p64 @p58)) % 0.41/0.60 (step @p66 :rule refl :args (@t29)) % 0.41/0.60 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t29 @t51))) % 0.41/0.60 (assume-push @p99 @t29) % 0.41/0.60 (step @p69 :rule instantiate :premises (@p57) :args ((@list 30))) % 0.41/0.60 (step-pop @p100 :rule scope :premises (@p69)) % 0.41/0.60 (step @p70 :rule process_scope :premises (@p100) :args (@t51)) % 0.41/0.60 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.41/0.60 (step @p73 :rule implies_elim :premises (@p72)) % 0.41/0.60 (step @p74 :rule chain_m_resolution :premises (@p73 @p57) :args (@t47 (@list false) (@list @t29))) % 0.41/0.60 (step @p75 :rule instantiate :premises (@p2) :args ((@list 30 @t18))) % 0.41/0.60 (step @p76 :rule cnf_equiv_pos1 :args (@t53)) % 0.41/0.60 (step @p77 :rule reordering :premises (@p76) :args ((or (not @t52) @t46 @t54))) % 0.41/0.60 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p74) :args (@t54 (@list false true) (@list @t52 @t46))) % 0.41/0.60 (step @p79 :rule eq-symm :args (@t46 @t52)) % 0.41/0.60 (step @p80 :rule aci_norm :args ((= (or @t52 false) @t52))) % 0.41/0.60 (step @p81 :rule evaluate :args (@t55)) % 0.41/0.60 (step @p82 :rule refl :args (@t52)) % 0.41/0.60 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t56)) % 0.41/0.60 (step @p84 :rule trans :premises (@p83 @p80)) % 0.41/0.60 (step @p85 :rule refl :args (@t46)) % 0.41/0.60 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t46 @t56))) % 0.41/0.60 (step @p87 :rule trans :premises (@p86 @p79)) % 0.41/0.60 (step @p88 :rule eq-symm :args (@t56 @t46)) % 0.41/0.60 (step @p89 :rule trans :premises (@p88 @p87)) % 0.41/0.60 (step @p90 :rule refl :args (@t9)) % 0.41/0.60 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t9 @t57))) % 0.41/0.60 (assume-push @p101 @t9) % 0.41/0.60 (step @p93 :rule instantiate :premises (@p4) :args ((@list 30 @t19 10))) % 0.41/0.60 (step-pop @p102 :rule scope :premises (@p93)) % 0.41/0.60 (step @p94 :rule process_scope :premises (@p102) :args (@t57)) % 0.41/0.60 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.41/0.60 (step @p97 :rule implies_elim :premises (@p96)) % 0.41/0.60 (step @p98 false :rule chain_m_resolution :premises (@p97 @p78 @p4) :args (false (@list true false) (@list @t53 @t9))) % 0.41/0.60 ) % 0.41/0.60 % SZS output end Proof % 0.41/0.61 % cvc5 exiting %------------------------------------------------------------------------------