%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT058_1 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:14:26 AM UTC 2026 % Result : Theorem 0.17s 0.37s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : DAT058_1 : TPTP v9.2.1. Released v5.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.25 % Computer : n024.cluster.edu % 0.09/0.25 % Model : x86_64 x86_64 % 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.25 % Memory : 8042.1875MB % 0.09/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.25 % CPULimit : 300 % 0.09/0.25 % WCLimit : 300 % 0.09/0.25 % DateTime : Mon Jun 1 17:27:30 EDT 2026 % 0.09/0.25 % CPUTime : % 0.09/0.33 %----Proving TF0_ARI % 0.17/0.37 --- Run --finite-model-find --decision=internal at 45... % 0.17/0.37 % SZS status Theorem % 0.17/0.37 % SZS output start Proof % 0.17/0.37 ( % 0.17/0.37 (declare-sort tptp.array 0) % 0.17/0.37 (declare-sort tptp.data 0) % 0.17/0.37 (declare-const tptp.put (-> tptp.array Int tptp.data tptp.array)) % 0.17/0.37 (declare-const tptp.get (-> tptp.array Int tptp.data)) % 0.17/0.37 (declare-const tptp.mkarray tptp.array) % 0.17/0.37 (declare-const tptp.none tptp.data) % 0.17/0.37 (define @t1 () (@var "M" Int)) % 0.17/0.37 (define @t2 () (tptp.get tptp.mkarray @t1)) % 0.17/0.37 (define @t3 () (@list @t1)) % 0.17/0.37 (define @t4 () (forall @t3 (= @t2 tptp.none))) % 0.17/0.37 (define @t5 () (@var "D" tptp.data)) % 0.17/0.37 (define @t6 () (@var "Ar" tptp.array)) % 0.17/0.37 (define @t7 () (tptp.get (tptp.put @t6 @t1 @t5) @t1)) % 0.17/0.37 (define @t8 () (forall (@list @t6 @t1 @t5) (= @t7 @t5))) % 0.17/0.37 (define @t9 () (@var "N" Int)) % 0.17/0.37 (define @t10 () (= (tptp.get (tptp.put @t6 @t9 @t5) @t1) (tptp.get @t6 @t1))) % 0.17/0.37 (define @t11 () (= @t1 @t9)) % 0.17/0.37 (define @t12 () (not @t11)) % 0.17/0.37 (define @t13 () (@list @t9 @t5 @t6 @t1)) % 0.17/0.37 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.17/0.37 (define @t15 () (@var "D1" tptp.data)) % 0.17/0.37 (define @t16 () (@var "D2" tptp.data)) % 0.17/0.37 (define @t17 () (@var "Ar0" tptp.array)) % 0.17/0.37 (define @t18 () (@list @t9)) % 0.17/0.37 (define @t19 () (forall (@list @t6 @t17) (= (= @t6 @t17) (forall @t18 (= (tptp.get @t6 @t9) (tptp.get @t17 @t9)))))) % 0.17/0.37 (define @t20 () (tptp.put tptp.mkarray @t1 tptp.none)) % 0.17/0.37 (define @t21 () (forall @t3 (= @t20 tptp.mkarray))) % 0.17/0.37 (define @t22 () (not @t21)) % 0.17/0.37 (define @t23 () (@quantifiers_skolemize (forall @t3 (= tptp.mkarray @t20)) 0)) % 0.17/0.37 (define @t24 () (tptp.put tptp.mkarray @t23 tptp.none)) % 0.17/0.37 (define @t25 () (tptp.get @t24 @t9)) % 0.17/0.37 (define @t26 () (tptp.get tptp.mkarray @t9)) % 0.17/0.37 (define @t27 () (forall @t18 (= @t25 @t26))) % 0.17/0.37 (define @t28 () (= (= @t24 tptp.mkarray) @t27)) % 0.17/0.37 (define @t29 () (forall @t18 (= @t26 @t25))) % 0.17/0.37 (define @t30 () (= tptp.mkarray @t24)) % 0.17/0.37 (define @t31 () (= @t30 @t29)) % 0.17/0.37 (define @t32 () (@list false)) % 0.17/0.37 (define @t33 () (not @t29)) % 0.17/0.37 (define @t34 () (@list true false)) % 0.17/0.37 (define @t35 () (@quantifiers_skolemize @t29 0)) % 0.17/0.37 (define @t36 () (tptp.get @t24 @t35)) % 0.17/0.37 (define @t37 () (tptp.get tptp.mkarray @t35)) % 0.17/0.37 (define @t38 () (= @t23 @t35)) % 0.17/0.37 (define @t39 () (= @t35 @t23)) % 0.17/0.37 (define @t40 () (or @t39 (= @t36 @t37))) % 0.17/0.37 (define @t41 () (forall @t13 (or @t11 @t10))) % 0.17/0.37 (define @t42 () (= @t37 @t36)) % 0.17/0.37 (define @t43 () (or @t38 @t42)) % 0.17/0.37 (define @t44 () (tptp.put tptp.mkarray @t35 tptp.none)) % 0.17/0.37 (define @t45 () (tptp.get @t44 @t35)) % 0.17/0.37 (define @t46 () (= tptp.none @t45)) % 0.17/0.37 (define @t47 () (not @t46)) % 0.17/0.37 (define @t48 () (not @t38)) % 0.17/0.37 (define @t49 () (= tptp.none @t37)) % 0.17/0.37 (define @t50 () (not @t49)) % 0.17/0.37 (define @t51 () (not @t42)) % 0.17/0.37 (define @t52 () (and @t47 @t46)) % 0.17/0.37 (assume @p1 @t4) % 0.17/0.37 (assume @p2 @t8) % 0.17/0.37 (assume @p3 @t14) % 0.17/0.37 (assume @p4 (forall (@list @t16 @t6 @t1 @t15) (= (tptp.put (tptp.put @t6 @t1 @t16) @t1 @t15) (tptp.put @t6 @t1 @t15)))) % 0.17/0.37 (assume @p5 @t19) % 0.17/0.37 (assume @p6 @t22) % 0.17/0.37 (assume @p7 true) % 0.17/0.37 (step @p8 :rule eq-symm :args (@t25 @t26)) % 0.17/0.37 (step @p9 :rule cong :premises (@p8) :args (@t27)) % 0.17/0.37 (step @p10 :rule eq-symm :args (@t24 tptp.mkarray)) % 0.17/0.37 (step @p11 :rule cong :premises (@p10 @p9) :args (@t28)) % 0.17/0.37 (step @p12 :rule refl :args (@t19)) % 0.17/0.37 (step @p13 :rule cong :premises (@p12 @p11) :args ((=> @t19 @t28))) % 0.17/0.37 (assume-push @p102 @t19) % 0.17/0.37 (step @p15 :rule instantiate :premises (@p5) :args ((@list @t24 tptp.mkarray))) % 0.17/0.37 (step-pop @p103 :rule scope :premises (@p15)) % 0.17/0.37 (step @p16 :rule process_scope :premises (@p103) :args (@t28)) % 0.17/0.37 (step @p18 :rule eq_resolve :premises (@p16 @p13)) % 0.17/0.37 (step @p19 :rule implies_elim :premises (@p18)) % 0.17/0.37 (step @p20 :rule chain_m_resolution :premises (@p19 @p5) :args (@t31 @t32 (@list @t19))) % 0.17/0.37 (step @p21 :rule eq-symm :args (@t20 tptp.mkarray)) % 0.17/0.37 (step @p22 :rule cong :premises (@p21) :args (@t21)) % 0.17/0.37 (step @p23 :rule cong :premises (@p22) :args (@t22)) % 0.17/0.37 (step @p24 :rule eq_resolve :premises (@p6 @p23)) % 0.17/0.37 (step @p25 :rule skolemize :premises (@p24)) % 0.17/0.37 (step @p26 :rule cnf_equiv_pos2 :args (@t31)) % 0.17/0.37 (step @p27 :rule reordering :premises (@p26) :args ((or @t30 @t33 (not @t31)))) % 0.17/0.37 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p20) :args (@t33 @t34 (@list @t30 @t31))) % 0.17/0.37 (step @p29 :rule skolemize :premises (@p28)) % 0.17/0.37 (step @p30 :rule eq-symm :args (@t2 tptp.none)) % 0.17/0.37 (step @p31 :rule cong :premises (@p30) :args (@t4)) % 0.17/0.37 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 0.17/0.37 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t35))) % 0.17/0.37 (step @p34 :rule refl :args (@t10)) % 0.17/0.37 (step @p35 :rule bool-double-not-elim :args (@t11)) % 0.17/0.37 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t12) @t10))) % 0.17/0.37 (step @p37 :rule bool-impl-elim :args (@t12 @t10)) % 0.17/0.37 (step @p38 :rule trans :premises (@p37 @p36)) % 0.17/0.37 (step @p39 :rule cong :premises (@p38) :args (@t14)) % 0.17/0.37 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 0.17/0.37 (step @p41 :rule eq-symm :args (@t36 @t37)) % 0.17/0.37 (step @p42 :rule arith_poly_norm :args ((= (* 1 (- @t35 @t23)) (* -1 (- @t23 @t35))))) % 0.17/0.37 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= @t39 @t38))) % 0.17/0.37 (step @p44 :rule nary_cong :premises (@p43 @p41) :args (@t40)) % 0.17/0.37 (step @p45 :rule refl :args (@t41)) % 0.17/0.37 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t41 @t40))) % 0.17/0.37 (assume-push @p104 @t41) % 0.17/0.37 (step @p48 :rule instantiate :premises (@p40) :args ((@list @t23 tptp.none tptp.mkarray @t35))) % 0.17/0.37 (step-pop @p105 :rule scope :premises (@p48)) % 0.17/0.37 (step @p49 :rule process_scope :premises (@p105) :args (@t40)) % 0.17/0.37 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.17/0.37 (step @p52 :rule implies_elim :premises (@p51)) % 0.17/0.37 (step @p53 :rule chain_m_resolution :premises (@p52 @p40) :args (@t43 @t32 (@list @t41))) % 0.17/0.37 (step @p54 :rule cnf_or_pos :args (@t43)) % 0.17/0.37 (step @p55 :rule reordering :premises (@p54) :args ((or @t42 @t38 (not @t43)))) % 0.17/0.37 (step @p56 :rule chain_m_resolution :premises (@p55 @p29 @p53) :args (@t38 @t34 (@list @t42 @t43))) % 0.17/0.37 (step @p57 :rule eq-symm :args (@t7 @t5)) % 0.17/0.37 (step @p58 :rule cong :premises (@p57) :args (@t8)) % 0.17/0.37 (step @p59 :rule eq_resolve :premises (@p2 @p58)) % 0.17/0.37 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.mkarray @t35 tptp.none))) % 0.17/0.37 (step @p61 :rule refl :args (@t47)) % 0.17/0.37 (step @p62 :rule refl :args (@t48)) % 0.17/0.37 (step @p63 :rule refl :args (@t50)) % 0.17/0.37 (step @p64 :rule bool-double-not-elim :args (@t42)) % 0.17/0.37 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61) :args ((or (not @t51) @t50 @t48 @t47))) % 0.17/0.37 (assume-push @p106 @t47) % 0.17/0.37 (assume-push @p107 @t46) % 0.17/0.37 (step @p68 :rule evaluate :args ((= false true))) % 0.17/0.37 (step @p69 :rule true_intro :premises (@p60)) % 0.17/0.37 (step @p70 :rule false_intro :premises (@p29)) % 0.17/0.37 (step @p71 :rule refl :args (@t35)) % 0.17/0.37 (step @p72 :rule refl :args (tptp.none)) % 0.17/0.37 (step @p73 :rule symm :premises (@p56)) % 0.17/0.37 (step @p74 :rule refl :args (tptp.mkarray)) % 0.17/0.37 (step @p75 :rule cong :premises (@p74 @p73 @p72) :args (@t44)) % 0.17/0.37 (step @p76 :rule cong :premises (@p75 @p71) :args (@t45)) % 0.17/0.37 (step @p77 :rule cong :premises (@p33 @p76) :args (@t46)) % 0.17/0.37 (step @p78 :rule trans :premises (@p77 @p70)) % 0.17/0.37 (step @p79 :rule symm :premises (@p78)) % 0.17/0.37 (step @p80 :rule trans :premises (@p79 @p69)) % 0.17/0.37 (step @p81 false :rule eq_resolve :premises (@p80 @p68)) % 0.17/0.37 (step-pop @p108 :rule scope :premises (@p81)) % 0.17/0.37 (step-pop @p109 :rule scope :premises (@p108)) % 0.17/0.37 (step @p82 :rule process_scope :premises (@p109) :args (false)) % 0.17/0.37 (assume-push @p110 @t51) % 0.17/0.37 (assume-push @p111 @t49) % 0.17/0.37 (assume-push @p112 @t38) % 0.17/0.37 (assume-push @p113 @t46) % 0.17/0.37 (step @p70 :rule false_intro :premises (@p29)) % 0.17/0.37 (step @p71 :rule refl :args (@t35)) % 0.17/0.37 (step @p72 :rule refl :args (tptp.none)) % 0.17/0.37 (step @p73 :rule symm :premises (@p56)) % 0.17/0.37 (step @p74 :rule refl :args (tptp.mkarray)) % 0.17/0.37 (step @p75 :rule cong :premises (@p74 @p73 @p72) :args (@t44)) % 0.17/0.37 (step @p76 :rule cong :premises (@p75 @p71) :args (@t45)) % 0.17/0.37 (step @p77 :rule cong :premises (@p33 @p76) :args (@t46)) % 0.17/0.37 (step @p89 :rule trans :premises (@p77 @p70)) % 0.17/0.37 (step @p90 :rule false_elim :premises (@p89)) % 0.17/0.37 (step @p91 :rule and_intro :premises (@p90 @p60)) % 0.17/0.37 (step-pop @p114 :rule scope :premises (@p91)) % 0.17/0.37 (step-pop @p115 :rule scope :premises (@p114)) % 0.17/0.37 (step-pop @p116 :rule scope :premises (@p115)) % 0.17/0.37 (step-pop @p117 :rule scope :premises (@p116)) % 0.17/0.37 (step @p92 :rule process_scope :premises (@p117) :args (@t52)) % 0.17/0.37 (step @p97 :rule implies_elim :premises (@p92)) % 0.17/0.37 (step @p98 :rule resolution :premises (@p97 @p82) :args (true @t52)) % 0.17/0.37 (step @p99 :rule not_and :premises (@p98)) % 0.17/0.37 (step @p100 :rule eq_resolve :premises (@p99 @p65)) % 0.17/0.37 (step @p101 false :rule chain_m_resolution :premises (@p100 @p60 @p56 @p33 @p29) :args (false (@list false false false true) (@list @t46 @t38 @t49 @t42))) % 0.17/0.37 ) % 0.17/0.37 % SZS output end Proof % 0.17/0.37 % cvc5 exiting %------------------------------------------------------------------------------