%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT080_1 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:14:28 AM UTC 2026 % Result : Theorem 0.24s 0.43s % Output : Proof 0.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : DAT080_1 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 17:27:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_ARI % 0.24/0.43 --- Run --finite-model-find --decision=internal at 45... % 0.24/0.43 % SZS status Theorem % 0.24/0.43 % SZS output start Proof % 0.24/0.43 ( % 0.24/0.43 (declare-sort tptp.list 0) % 0.24/0.43 (declare-const tptp.count (-> Int tptp.list Int)) % 0.24/0.43 (declare-const tptp.length (-> tptp.list Int)) % 0.24/0.43 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 0.24/0.43 (declare-const tptp.in (-> Int tptp.list Bool)) % 0.24/0.43 (declare-const tptp.nil tptp.list) % 0.24/0.43 (declare-const tptp.append (-> tptp.list tptp.list tptp.list)) % 0.24/0.43 (declare-const tptp.tail (-> tptp.list tptp.list)) % 0.24/0.43 (declare-const tptp.head (-> tptp.list Int)) % 0.24/0.43 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 0.24/0.43 (define @t1 () (@var "K" Int)) % 0.24/0.43 (define @t2 () (@var "L" tptp.list)) % 0.24/0.43 (define @t3 () (tptp.cons @t1 @t2)) % 0.24/0.43 (define @t4 () (@list @t1 @t2)) % 0.24/0.43 (define @t5 () (= @t2 tptp.nil)) % 0.24/0.43 (define @t6 () (@list @t2)) % 0.24/0.43 (define @t7 () (@var "T" tptp.list)) % 0.24/0.43 (define @t8 () (@var "X" Int)) % 0.24/0.43 (define @t9 () (@var "H" Int)) % 0.24/0.43 (define @t10 () (tptp.cons @t9 @t7)) % 0.24/0.43 (define @t11 () (= @t2 @t10)) % 0.24/0.43 (define @t12 () (@list @t9 @t7)) % 0.24/0.43 (define @t13 () (@var "N" Int)) % 0.24/0.43 (define @t14 () (@list @t13 @t2)) % 0.24/0.43 (define @t15 () (tptp.count @t1 @t7)) % 0.24/0.43 (define @t16 () (tptp.count @t1 @t10)) % 0.24/0.43 (define @t17 () (= @t16 @t15)) % 0.24/0.43 (define @t18 () (= @t1 @t9)) % 0.24/0.43 (define @t19 () (not @t18)) % 0.24/0.43 (define @t20 () (@list @t1 @t9 @t7 @t13)) % 0.24/0.43 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.24/0.43 (define @t22 () (@var "K" tptp.list)) % 0.24/0.43 (define @t23 () (@var "I" Int)) % 0.24/0.43 (define @t24 () (tptp.count @t13 @t2)) % 0.24/0.43 (define @t25 () (tptp.in @t13 @t2)) % 0.24/0.43 (define @t26 () (= @t25 (> @t24 0))) % 0.24/0.43 (define @t27 () (forall @t14 @t26)) % 0.24/0.43 (define @t28 () (tptp.cons 3 tptp.nil)) % 0.24/0.43 (define @t29 () (tptp.cons 2 @t28)) % 0.24/0.43 (define @t30 () (tptp.cons 1 @t29)) % 0.24/0.43 (define @t31 () (tptp.in 4 @t30)) % 0.24/0.43 (define @t32 () (not @t31)) % 0.24/0.43 (define @t33 () (+ 0 1)) % 0.24/0.43 (define @t34 () (>= @t24 @t33)) % 0.24/0.43 (define @t35 () (tptp.count 4 @t30)) % 0.24/0.43 (define @t36 () (>= @t35 1)) % 0.24/0.43 (define @t37 () (= @t31 @t36)) % 0.24/0.43 (define @t38 () (or @t18 @t17)) % 0.24/0.43 (define @t39 () (forall (@list @t1 @t9 @t7) @t38)) % 0.24/0.43 (define @t40 () (tptp.count 4 @t29)) % 0.24/0.43 (define @t41 () (= @t35 @t40)) % 0.24/0.43 (define @t42 () (= 4 1)) % 0.24/0.43 (define @t43 () (or @t42 @t41)) % 0.24/0.43 (define @t44 () (@list false)) % 0.24/0.43 (define @t45 () (@list @t39)) % 0.24/0.43 (define @t46 () (tptp.count 4 @t28)) % 0.24/0.43 (define @t47 () (= @t40 @t46)) % 0.24/0.43 (define @t48 () (= 4 2)) % 0.24/0.43 (define @t49 () (or @t48 @t47)) % 0.24/0.43 (define @t50 () (tptp.count 4 tptp.nil)) % 0.24/0.43 (define @t51 () (= @t46 @t50)) % 0.24/0.43 (define @t52 () (= 4 3)) % 0.24/0.43 (define @t53 () (or @t52 @t51)) % 0.24/0.43 (define @t54 () (= 0 @t35)) % 0.24/0.43 (define @t55 () (* -1 1)) % 0.24/0.43 (define @t56 () (+ 0 @t55)) % 0.24/0.43 (define @t57 () (+ @t35 (* -1 @t35))) % 0.24/0.43 (define @t58 () (= @t50 0)) % 0.24/0.43 (define @t59 () (and @t54 @t36)) % 0.24/0.43 (assume @p1 (forall @t4 (= (tptp.head @t3) @t1))) % 0.24/0.43 (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2))) % 0.24/0.43 (assume @p3 (forall @t6 (or @t5 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 0.24/0.43 (assume @p4 (forall @t4 (not (= @t3 tptp.nil)))) % 0.24/0.43 (assume @p5 (forall (@list @t8 @t2) (= (tptp.in @t8 @t2) (or (exists @t12 (and @t11 (= @t8 @t9))) (exists @t12 (and @t11 (tptp.in @t8 @t7))))))) % 0.24/0.43 (assume @p6 (forall @t14 (= (tptp.inRange @t13 @t2) (or @t5 (exists (@list @t1 @t7) (and (= @t2 (tptp.cons @t1 @t7)) (<= 0 @t1) (< @t1 @t13) (tptp.inRange @t13 @t7))))))) % 0.24/0.43 (assume @p7 (= (tptp.length tptp.nil) 0)) % 0.24/0.43 (assume @p8 (forall @t12 (= (tptp.length @t10) (+ 1 (tptp.length @t7))))) % 0.24/0.43 (assume @p9 (forall (@list @t1) (= (tptp.count @t1 tptp.nil) 0))) % 0.24/0.43 (assume @p10 @t21) % 0.24/0.43 (assume @p11 (forall @t20 (=> @t18 (= @t16 (+ @t15 1))))) % 0.24/0.43 (assume @p12 (forall @t6 (= (tptp.append tptp.nil @t2) @t2))) % 0.24/0.43 (assume @p13 (forall (@list @t23 @t22 @t2) (= (tptp.append (tptp.cons @t23 @t22) @t2) (tptp.cons @t23 (tptp.append @t22 @t2))))) % 0.24/0.43 (assume @p14 @t27) % 0.24/0.43 (assume @p15 (not @t32)) % 0.24/0.43 (assume @p16 true) % 0.24/0.43 (step @p17 :rule bool-double-not-elim :args ((>= @t24 1))) % 0.24/0.43 (step @p18 :rule evaluate :args (@t33)) % 0.24/0.43 (step @p19 :rule refl :args (@t24)) % 0.24/0.43 (step @p20 :rule cong :premises (@p19 @p18) :args (@t34)) % 0.24/0.43 (step @p21 :rule cong :premises (@p20) :args ((not @t34))) % 0.24/0.43 (step @p22 :rule arith-leq-norm :args (@t24 0)) % 0.24/0.43 (step @p23 :rule trans :premises (@p22 @p21)) % 0.24/0.43 (step @p24 :rule cong :premises (@p23) :args ((not (<= @t24 0)))) % 0.24/0.43 (step @p25 :rule trans :premises (@p24 @p17)) % 0.24/0.43 (step @p26 :rule arith-elim-leq :args (@t24 0)) % 0.24/0.43 (step @p27 :rule symm :premises (@p26)) % 0.24/0.43 (step @p28 :rule cong :premises (@p27) :args ((not (>= 0 @t24)))) % 0.24/0.43 (step @p29 :rule arith-elim-gt :args (@t24 0)) % 0.24/0.43 (step @p30 :rule trans :premises (@p29 @p28)) % 0.24/0.43 (step @p31 :rule trans :premises (@p30 @p25)) % 0.24/0.43 (step @p32 :rule refl :args (@t25)) % 0.24/0.43 (step @p33 :rule cong :premises (@p32 @p31) :args (@t26)) % 0.24/0.43 (step @p34 :rule cong :premises (@p33) :args (@t27)) % 0.24/0.43 (step @p35 :rule eq_resolve :premises (@p14 @p34)) % 0.24/0.43 (step @p36 :rule instantiate :premises (@p35) :args ((@list 4 @t30))) % 0.24/0.43 (step @p37 :rule bool-double-not-elim :args (@t31)) % 0.24/0.43 (step @p38 :rule eq_resolve :premises (@p15 @p37)) % 0.24/0.43 (step @p39 :rule cnf_equiv_pos1 :args (@t37)) % 0.24/0.43 (step @p40 :rule reordering :premises (@p39) :args ((or @t32 @t36 (not @t37)))) % 0.24/0.43 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p36) :args (@t36 (@list false false) (@list @t31 @t37))) % 0.24/0.43 (step @p42 :rule quant-unused-vars :args ((= (forall @t20 @t38) @t39))) % 0.24/0.43 (step @p43 :rule refl :args (@t17)) % 0.24/0.43 (step @p44 :rule bool-double-not-elim :args (@t18)) % 0.24/0.43 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t19) @t17))) % 0.24/0.43 (step @p46 :rule bool-impl-elim :args (@t19 @t17)) % 0.24/0.43 (step @p47 :rule trans :premises (@p46 @p45)) % 0.24/0.43 (step @p48 :rule cong :premises (@p47) :args (@t21)) % 0.24/0.43 (step @p49 :rule trans :premises (@p48 @p42)) % 0.24/0.43 (step @p50 :rule eq_resolve :premises (@p10 @p49)) % 0.24/0.43 (step @p51 :rule aci_norm :args ((= (or false @t41) @t41))) % 0.24/0.43 (step @p52 :rule refl :args (@t41)) % 0.24/0.43 (step @p53 :rule evaluate :args (@t42)) % 0.24/0.43 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t43)) % 0.24/0.43 (step @p55 :rule trans :premises (@p54 @p51)) % 0.24/0.43 (step @p56 :rule refl :args (@t39)) % 0.24/0.43 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t39 @t43))) % 0.24/0.43 (assume-push @p140 @t39) % 0.24/0.43 (step @p59 :rule instantiate :premises (@p50) :args ((@list 4 1 @t29))) % 0.24/0.43 (step-pop @p141 :rule scope :premises (@p59)) % 0.24/0.43 (step @p60 :rule process_scope :premises (@p141) :args (@t43)) % 0.24/0.43 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.24/0.43 (step @p63 :rule implies_elim :premises (@p62)) % 0.24/0.43 (step @p64 :rule chain_m_resolution :premises (@p63 @p50) :args (@t41 @t44 @t45)) % 0.24/0.43 (step @p65 :rule aci_norm :args ((= (or false @t47) @t47))) % 0.24/0.43 (step @p66 :rule refl :args (@t47)) % 0.24/0.43 (step @p67 :rule evaluate :args (@t48)) % 0.24/0.43 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t49)) % 0.24/0.43 (step @p69 :rule trans :premises (@p68 @p65)) % 0.24/0.43 (step @p70 :rule cong :premises (@p56 @p69) :args ((=> @t39 @t49))) % 0.24/0.43 (assume-push @p142 @t39) % 0.24/0.43 (step @p72 :rule instantiate :premises (@p50) :args ((@list 4 2 @t28))) % 0.24/0.43 (step-pop @p143 :rule scope :premises (@p72)) % 0.24/0.43 (step @p73 :rule process_scope :premises (@p143) :args (@t49)) % 0.24/0.43 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.24/0.43 (step @p76 :rule implies_elim :premises (@p75)) % 0.24/0.43 (step @p77 :rule chain_m_resolution :premises (@p76 @p50) :args (@t47 @t44 @t45)) % 0.24/0.43 (step @p78 :rule aci_norm :args ((= (or false @t51) @t51))) % 0.24/0.43 (step @p79 :rule refl :args (@t51)) % 0.24/0.43 (step @p80 :rule evaluate :args (@t52)) % 0.24/0.43 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t53)) % 0.24/0.43 (step @p82 :rule trans :premises (@p81 @p78)) % 0.24/0.43 (step @p83 :rule cong :premises (@p56 @p82) :args ((=> @t39 @t53))) % 0.24/0.43 (assume-push @p144 @t39) % 0.24/0.43 (step @p85 :rule instantiate :premises (@p50) :args ((@list 4 3 tptp.nil))) % 0.24/0.43 (step-pop @p145 :rule scope :premises (@p85)) % 0.24/0.43 (step @p86 :rule process_scope :premises (@p145) :args (@t53)) % 0.24/0.43 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.24/0.43 (step @p89 :rule implies_elim :premises (@p88)) % 0.24/0.43 (step @p90 :rule chain_m_resolution :premises (@p89 @p50) :args (@t51 @t44 @t45)) % 0.24/0.43 (step @p91 :rule instantiate :premises (@p9) :args ((@list 4))) % 0.24/0.43 (assume-push @p146 @t54) % 0.24/0.43 (assume-push @p147 @t36) % 0.24/0.43 (assume-push @p148 (= @t35 0)) % 0.24/0.43 (step @p95 :rule evaluate :args ((<= 0 -1))) % 0.24/0.43 (step @p96 :rule evaluate :args ((+ 0 -1))) % 0.24/0.43 (step @p97 :rule evaluate :args (@t55)) % 0.24/0.43 (step @p98 :rule refl :args (0)) % 0.24/0.43 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t56)) % 0.24/0.43 (step @p100 :rule trans :premises (@p99 @p96)) % 0.24/0.43 (step @p101 :rule arith_poly_norm :args ((= @t57 0))) % 0.24/0.43 (step @p102 :rule cong :premises (@p101 @p100) :args ((<= @t57 @t56))) % 0.24/0.43 (step @p103 :rule trans :premises (@p102 @p95)) % 0.24/0.43 (step @p104 :rule arith_mult_neg :args (-1 @t36)) % 0.24/0.43 (step @p105 :rule evaluate :args ((< -1 0))) % 0.24/0.43 (step @p106 :rule true_elim :premises (@p105)) % 0.24/0.43 (step @p107 :rule and_intro :premises (@p106 @p41)) % 0.24/0.43 (step @p108 :rule modus_ponens :premises (@p107 @p104)) % 0.24/0.43 (step @p109 :rule arith_sum_ub :premises (@p148 @p108)) % 0.24/0.43 (step @p110 false :rule eq_resolve :premises (@p109 @p103)) % 0.24/0.43 (step-pop @p149 :rule scope :premises (@p110)) % 0.24/0.43 (step @p111 :rule process_scope :premises (@p149) :args (false)) % 0.24/0.43 (step @p113 :rule symm :premises (@p64)) % 0.24/0.43 (step @p114 :rule symm :premises (@p77)) % 0.24/0.43 (step @p115 :rule symm :premises (@p90)) % 0.24/0.43 (step @p116 :rule symm :premises (@p91)) % 0.24/0.43 (step @p117 :rule trans :premises (@p116 @p115 @p114 @p113)) % 0.24/0.43 (step @p118 :rule symm :premises (@p117)) % 0.24/0.43 (step @p119 false :rule contra :premises (@p118 @p111)) % 0.24/0.43 (step-pop @p150 :rule scope :premises (@p119)) % 0.24/0.43 (step-pop @p151 :rule scope :premises (@p150)) % 0.24/0.43 (step @p120 :rule process_scope :premises (@p151) :args (false)) % 0.24/0.43 (assume-push @p152 @t36) % 0.24/0.43 (assume-push @p153 @t41) % 0.24/0.43 (assume-push @p154 @t47) % 0.24/0.43 (assume-push @p155 @t51) % 0.24/0.43 (assume-push @p156 @t58) % 0.24/0.43 (step @p113 :rule symm :premises (@p64)) % 0.24/0.43 (step @p114 :rule symm :premises (@p77)) % 0.24/0.43 (step @p115 :rule symm :premises (@p90)) % 0.24/0.43 (step @p116 :rule symm :premises (@p91)) % 0.24/0.43 (step @p128 :rule trans :premises (@p116 @p115 @p114 @p113)) % 0.24/0.43 (step @p129 :rule and_intro :premises (@p128 @p41)) % 0.24/0.43 (step-pop @p157 :rule scope :premises (@p129)) % 0.24/0.43 (step-pop @p158 :rule scope :premises (@p157)) % 0.24/0.43 (step-pop @p159 :rule scope :premises (@p158)) % 0.24/0.43 (step-pop @p160 :rule scope :premises (@p159)) % 0.24/0.43 (step-pop @p161 :rule scope :premises (@p160)) % 0.24/0.43 (step @p130 :rule process_scope :premises (@p161) :args (@t59)) % 0.24/0.43 (step @p136 :rule implies_elim :premises (@p130)) % 0.24/0.43 (step @p137 :rule resolution :premises (@p136 @p120) :args (true @t59)) % 0.24/0.43 (step @p138 :rule not_and :premises (@p137)) % 0.24/0.43 (step @p139 false :rule chain_m_resolution :premises (@p138 @p91 @p90 @p77 @p64 @p41) :args (false (@list false false false false false) (@list @t58 @t51 @t47 @t41 @t36))) % 0.24/0.43 ) % 0.24/0.43 % SZS output end Proof % 0.24/0.43 % cvc5 exiting %------------------------------------------------------------------------------