%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT020_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 : n008.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 08:14:21 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : DAT020_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n008.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 22:26:03 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 0.30/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.collection 0) % 0.30/0.55 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 0.30/0.55 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 0.30/0.55 (declare-const tptp.in (-> Int tptp.collection Bool)) % 0.30/0.55 (declare-const tptp.empty tptp.collection) % 0.30/0.55 (define @t1 () (@var "U" Int)) % 0.30/0.55 (define @t2 () (@var "W" tptp.collection)) % 0.30/0.55 (define @t3 () (@var "V" Int)) % 0.30/0.55 (define @t4 () (@var "Y" tptp.collection)) % 0.30/0.55 (define @t5 () (@var "X" Int)) % 0.30/0.55 (define @t6 () (@var "X1" tptp.collection)) % 0.30/0.55 (define @t7 () (@var "X2" Int)) % 0.30/0.55 (define @t8 () (@var "Z" Int)) % 0.30/0.55 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 0.30/0.55 (define @t10 () (@var "X4" tptp.collection)) % 0.30/0.55 (define @t11 () (@var "X5" Int)) % 0.30/0.55 (define @t12 () (@var "X3" Int)) % 0.30/0.55 (define @t13 () (tptp.add 5 tptp.empty)) % 0.30/0.55 (define @t14 () (tptp.add 3 @t13)) % 0.30/0.55 (define @t15 () (tptp.in 4 (tptp.add 1 @t14))) % 0.30/0.55 (define @t16 () (not @t15)) % 0.30/0.55 (define @t17 () (tptp.in 4 @t14)) % 0.30/0.55 (define @t18 () (tptp.in 4 @t13)) % 0.30/0.55 (define @t19 () (= 4 3)) % 0.30/0.55 (define @t20 () (or @t18 @t19)) % 0.30/0.55 (define @t21 () (= @t20 @t17)) % 0.30/0.55 (define @t22 () (= @t18 @t17)) % 0.30/0.55 (define @t23 () (@list false)) % 0.30/0.55 (define @t24 () (@list @t9)) % 0.30/0.55 (define @t25 () (tptp.in 4 tptp.empty)) % 0.30/0.55 (define @t26 () (= 4 5)) % 0.30/0.55 (define @t27 () (or @t25 @t26)) % 0.30/0.55 (define @t28 () (= @t27 @t18)) % 0.30/0.55 (define @t29 () (= @t25 @t18)) % 0.30/0.55 (define @t30 () (not @t18)) % 0.30/0.55 (define @t31 () (@list true false)) % 0.30/0.55 (define @t32 () (not @t17)) % 0.30/0.55 (define @t33 () (= @t15 @t17)) % 0.30/0.55 (define @t34 () (not @t33)) % 0.30/0.55 (define @t35 () (= 4 1)) % 0.30/0.55 (define @t36 () (or @t17 @t35)) % 0.30/0.55 (define @t37 () (= @t36 @t15)) % 0.30/0.55 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 0.30/0.55 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 0.30/0.55 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 0.30/0.55 (assume @p4 @t9) % 0.30/0.55 (assume @p5 (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 0.30/0.55 (assume @p6 (not @t16)) % 0.30/0.55 (assume @p7 true) % 0.30/0.55 (step @p8 :rule refl :args (@t17)) % 0.30/0.55 (step @p9 :rule aci_norm :args ((= (or @t18 false) @t18))) % 0.30/0.55 (step @p10 :rule evaluate :args (@t19)) % 0.30/0.55 (step @p11 :rule refl :args (@t18)) % 0.30/0.55 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t20)) % 0.30/0.55 (step @p13 :rule trans :premises (@p12 @p9)) % 0.30/0.55 (step @p14 :rule cong :premises (@p13 @p8) :args (@t21)) % 0.30/0.55 (step @p15 :rule refl :args (@t9)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args ((=> @t9 @t21))) % 0.30/0.55 (assume-push @p66 @t9) % 0.30/0.55 (step @p18 :rule instantiate :premises (@p4) :args ((@list 4 @t13 3))) % 0.30/0.55 (step-pop @p67 :rule scope :premises (@p18)) % 0.30/0.55 (step @p19 :rule process_scope :premises (@p67) :args (@t21)) % 0.30/0.55 (step @p21 :rule eq_resolve :premises (@p19 @p16)) % 0.30/0.55 (step @p22 :rule implies_elim :premises (@p21)) % 0.30/0.55 (step @p23 :rule chain_m_resolution :premises (@p22 @p4) :args (@t22 @t23 @t24)) % 0.30/0.55 (step @p24 :rule aci_norm :args ((= (or @t25 false) @t25))) % 0.30/0.55 (step @p25 :rule evaluate :args (@t26)) % 0.30/0.55 (step @p26 :rule refl :args (@t25)) % 0.30/0.55 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t27)) % 0.30/0.55 (step @p28 :rule trans :premises (@p27 @p24)) % 0.30/0.55 (step @p29 :rule cong :premises (@p28 @p11) :args (@t28)) % 0.30/0.55 (step @p30 :rule cong :premises (@p15 @p29) :args ((=> @t9 @t28))) % 0.30/0.55 (assume-push @p68 @t9) % 0.30/0.55 (step @p32 :rule instantiate :premises (@p4) :args ((@list 4 tptp.empty 5))) % 0.30/0.55 (step-pop @p69 :rule scope :premises (@p32)) % 0.30/0.55 (step @p33 :rule process_scope :premises (@p69) :args (@t28)) % 0.30/0.55 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.30/0.55 (step @p36 :rule implies_elim :premises (@p35)) % 0.30/0.55 (step @p37 :rule chain_m_resolution :premises (@p36 @p4) :args (@t29 @t23 @t24)) % 0.30/0.55 (step @p38 :rule instantiate :premises (@p1) :args ((@list 4))) % 0.30/0.55 (step @p39 :rule cnf_equiv_pos2 :args (@t29)) % 0.30/0.55 (step @p40 :rule reordering :premises (@p39) :args ((or @t25 @t30 (not @t29)))) % 0.30/0.55 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37) :args (@t30 @t31 (@list @t25 @t29))) % 0.30/0.55 (step @p42 :rule cnf_equiv_pos2 :args (@t22)) % 0.30/0.55 (step @p43 :rule reordering :premises (@p42) :args ((or @t18 @t32 (not @t22)))) % 0.30/0.55 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p23) :args (@t32 @t31 (@list @t18 @t22))) % 0.30/0.55 (step @p45 :rule bool-double-not-elim :args (@t15)) % 0.30/0.55 (step @p46 :rule eq_resolve :premises (@p6 @p45)) % 0.30/0.55 (step @p47 :rule cnf_equiv_pos1 :args (@t33)) % 0.30/0.55 (step @p48 :rule reordering :premises (@p47) :args ((or @t16 @t17 @t34))) % 0.30/0.55 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p44) :args (@t34 (@list false true) (@list @t15 @t17))) % 0.30/0.55 (step @p50 :rule aci_norm :args ((= (or @t17 false) @t17))) % 0.30/0.55 (step @p51 :rule evaluate :args (@t35)) % 0.30/0.55 (step @p52 :rule nary_cong :premises (@p8 @p51) :args (@t36)) % 0.30/0.55 (step @p53 :rule trans :premises (@p52 @p50)) % 0.30/0.55 (step @p54 :rule refl :args (@t15)) % 0.30/0.55 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t15 @t36))) % 0.30/0.55 (step @p56 :rule eq-symm :args (@t36 @t15)) % 0.30/0.55 (step @p57 :rule trans :premises (@p56 @p55)) % 0.30/0.55 (step @p58 :rule cong :premises (@p15 @p57) :args ((=> @t9 @t37))) % 0.30/0.55 (assume-push @p70 @t9) % 0.30/0.55 (step @p60 :rule instantiate :premises (@p4) :args ((@list 4 @t14 1))) % 0.30/0.55 (step-pop @p71 :rule scope :premises (@p60)) % 0.30/0.55 (step @p61 :rule process_scope :premises (@p71) :args (@t37)) % 0.30/0.55 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.30/0.55 (step @p64 :rule implies_elim :premises (@p63)) % 0.30/0.55 (step @p65 false :rule chain_m_resolution :premises (@p64 @p49 @p4) :args (false @t31 (@list @t33 @t9))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------