%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT092_1 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:14:30 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT092_1 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 22:28:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_ARI % 0.39/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort tptp.list 0) % 0.39/0.58 (declare-const tptp.count (-> Int tptp.list Int)) % 0.39/0.58 (declare-const tptp.length (-> tptp.list Int)) % 0.39/0.58 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 0.39/0.58 (declare-const tptp.in (-> Int tptp.list Bool)) % 0.39/0.58 (declare-const tptp.nil tptp.list) % 0.39/0.58 (declare-const tptp.append (-> tptp.list tptp.list tptp.list)) % 0.39/0.58 (declare-const tptp.tail (-> tptp.list tptp.list)) % 0.39/0.58 (declare-const tptp.head (-> tptp.list Int)) % 0.39/0.58 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 0.39/0.58 (define @t1 () (@var "K" Int)) % 0.39/0.58 (define @t2 () (@var "L" tptp.list)) % 0.39/0.58 (define @t3 () (tptp.cons @t1 @t2)) % 0.39/0.58 (define @t4 () (@list @t1 @t2)) % 0.39/0.58 (define @t5 () (= @t2 tptp.nil)) % 0.39/0.58 (define @t6 () (@list @t2)) % 0.39/0.58 (define @t7 () (@var "T" tptp.list)) % 0.39/0.58 (define @t8 () (@var "X" Int)) % 0.39/0.58 (define @t9 () (@var "H" Int)) % 0.39/0.58 (define @t10 () (tptp.cons @t9 @t7)) % 0.39/0.58 (define @t11 () (= @t2 @t10)) % 0.39/0.58 (define @t12 () (@list @t9 @t7)) % 0.39/0.58 (define @t13 () (@var "N" Int)) % 0.39/0.58 (define @t14 () (@list @t13 @t2)) % 0.39/0.58 (define @t15 () (tptp.length tptp.nil)) % 0.39/0.58 (define @t16 () (= @t15 0)) % 0.39/0.58 (define @t17 () (forall @t12 (= (tptp.length @t10) (+ 1 (tptp.length @t7))))) % 0.39/0.58 (define @t18 () (tptp.count @t1 @t7)) % 0.39/0.58 (define @t19 () (tptp.count @t1 @t10)) % 0.39/0.58 (define @t20 () (= @t1 @t9)) % 0.39/0.58 (define @t21 () (@list @t1 @t9 @t7 @t13)) % 0.39/0.58 (define @t22 () (tptp.append tptp.nil @t2)) % 0.39/0.58 (define @t23 () (forall @t6 (= @t22 @t2))) % 0.39/0.58 (define @t24 () (@var "K" tptp.list)) % 0.39/0.58 (define @t25 () (tptp.append @t24 @t2)) % 0.39/0.58 (define @t26 () (@var "I" Int)) % 0.39/0.58 (define @t27 () (forall (@list @t24 @t2) (= (tptp.length @t25) (tptp.length @t24)))) % 0.39/0.58 (define @t28 () (tptp.cons 0 tptp.nil)) % 0.39/0.58 (define @t29 () (tptp.length @t28)) % 0.39/0.58 (define @t30 () (+ -1 @t29)) % 0.39/0.58 (define @t31 () (- @t15 @t30)) % 0.39/0.58 (define @t32 () (+ 1 @t15)) % 0.39/0.58 (define @t33 () (= @t15 @t30)) % 0.39/0.58 (define @t34 () (= @t29 @t32)) % 0.39/0.58 (define @t35 () (@list false)) % 0.39/0.58 (define @t36 () (@list @t28)) % 0.39/0.58 (define @t37 () (tptp.append tptp.nil @t28)) % 0.39/0.58 (define @t38 () (tptp.length @t37)) % 0.39/0.58 (define @t39 () (= @t15 @t38)) % 0.39/0.58 (define @t40 () (= @t38 @t15)) % 0.39/0.58 (define @t41 () (@list tptp.nil @t28)) % 0.39/0.58 (define @t42 () (= @t29 @t38)) % 0.39/0.58 (define @t43 () (= 0 @t29)) % 0.39/0.58 (define @t44 () (not @t43)) % 0.39/0.58 (define @t45 () (= @t28 @t37)) % 0.39/0.58 (define @t46 () (= @t15 @t29)) % 0.39/0.58 (define @t47 () (* -1 @t29)) % 0.39/0.58 (define @t48 () (+ -1 @t47)) % 0.39/0.58 (define @t49 () (- @t48 @t47)) % 0.39/0.58 (define @t50 () (+ @t47 -1)) % 0.39/0.58 (define @t51 () (* -1 @t15)) % 0.39/0.58 (define @t52 () (+ @t51 @t47 @t15)) % 0.39/0.58 (define @t53 () (+ @t15 @t47)) % 0.39/0.58 (define @t54 () (+ @t51 @t53)) % 0.39/0.58 (define @t55 () (and @t16 @t39 @t42 @t44)) % 0.39/0.58 (assume @p1 (forall @t4 (= (tptp.head @t3) @t1))) % 0.39/0.58 (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2))) % 0.39/0.58 (assume @p3 (forall @t6 (or @t5 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 0.39/0.58 (assume @p4 (forall @t4 (not (= @t3 tptp.nil)))) % 0.39/0.58 (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))))))) % 0.39/0.58 (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))))))) % 0.39/0.58 (assume @p7 @t16) % 0.39/0.58 (assume @p8 @t17) % 0.39/0.58 (assume @p9 (forall (@list @t1) (= (tptp.count @t1 tptp.nil) 0))) % 0.39/0.58 (assume @p10 (forall @t21 (=> (not @t20) (= @t19 @t18)))) % 0.39/0.58 (assume @p11 (forall @t21 (=> @t20 (= @t19 (+ @t18 1))))) % 0.39/0.58 (assume @p12 @t23) % 0.39/0.58 (assume @p13 (forall (@list @t26 @t24 @t2) (= (tptp.append (tptp.cons @t26 @t24) @t2) (tptp.cons @t26 @t25)))) % 0.39/0.58 (assume @p14 (forall @t14 (= (tptp.in @t13 @t2) (> (tptp.count @t13 @t2) 0)))) % 0.39/0.58 (assume @p15 (not (not @t27))) % 0.39/0.58 (assume @p16 true) % 0.39/0.58 (step @p17 :rule arith_poly_norm :args ((= (* 1 (- @t29 @t32)) (* -1 @t31)))) % 0.39/0.58 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= @t34 @t33))) % 0.39/0.58 (step @p19 :rule refl :args (@t17)) % 0.39/0.58 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t17 @t34))) % 0.39/0.58 (assume-push @p121 @t17) % 0.39/0.58 (step @p22 :rule instantiate :premises (@p8) :args ((@list 0 tptp.nil))) % 0.39/0.58 (step-pop @p122 :rule scope :premises (@p22)) % 0.39/0.58 (step @p23 :rule process_scope :premises (@p122) :args (@t34)) % 0.39/0.58 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.39/0.58 (step @p26 :rule implies_elim :premises (@p25)) % 0.39/0.58 (step @p27 :rule chain_m_resolution :premises (@p26 @p8) :args (@t33 @t35 (@list @t17))) % 0.39/0.58 (step @p28 :rule eq-symm :args (@t22 @t2)) % 0.39/0.58 (step @p29 :rule cong :premises (@p28) :args (@t23)) % 0.39/0.58 (step @p30 :rule eq_resolve :premises (@p12 @p29)) % 0.39/0.58 (step @p31 :rule instantiate :premises (@p30) :args (@t36)) % 0.39/0.58 (step @p32 :rule bool-double-not-elim :args (@t27)) % 0.39/0.58 (step @p33 :rule eq_resolve :premises (@p15 @p32)) % 0.39/0.58 (step @p34 :rule arith_poly_norm :args ((= (* 1 (- @t38 @t15)) (* -1 (- @t15 @t38))))) % 0.39/0.58 (step @p35 :rule arith_poly_norm_rel :premises (@p34) :args ((= @t40 @t39))) % 0.39/0.58 (step @p36 :rule refl :args (@t27)) % 0.39/0.58 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t27 @t40))) % 0.39/0.58 (assume-push @p123 @t27) % 0.39/0.58 (step @p39 :rule instantiate :premises (@p33) :args (@t41)) % 0.39/0.58 (step-pop @p124 :rule scope :premises (@p39)) % 0.39/0.58 (step @p40 :rule process_scope :premises (@p124) :args (@t40)) % 0.39/0.58 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.39/0.58 (step @p43 :rule implies_elim :premises (@p42)) % 0.39/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p33) :args (@t39 @t35 (@list @t27))) % 0.39/0.58 (assume-push @p125 @t16) % 0.39/0.58 (assume-push @p126 @t39) % 0.39/0.58 (assume-push @p127 @t42) % 0.39/0.58 (assume-push @p128 @t44) % 0.39/0.58 (step @p49 :rule evaluate :args ((= false true))) % 0.39/0.58 (step @p39 :rule instantiate :premises (@p33) :args (@t41)) % 0.39/0.58 (step @p50 :rule instantiate :premises (@p30) :args (@t36)) % 0.39/0.58 (step @p51 :rule cong :premises (@p50) :args (@t29)) % 0.39/0.58 (step @p52 :rule trans :premises (@p51 @p39 @p7)) % 0.39/0.58 (step @p53 :rule symm :premises (@p52)) % 0.39/0.58 (step @p54 :rule true_intro :premises (@p53)) % 0.39/0.58 (step @p55 :rule false_intro :premises (@p128)) % 0.39/0.58 (step @p56 :rule symm :premises (@p55)) % 0.39/0.58 (step @p57 :rule trans :premises (@p56 @p54)) % 0.39/0.58 (step @p58 false :rule eq_resolve :premises (@p57 @p49)) % 0.39/0.58 (step-pop @p129 :rule scope :premises (@p58)) % 0.39/0.58 (step-pop @p130 :rule scope :premises (@p129)) % 0.39/0.58 (step-pop @p131 :rule scope :premises (@p130)) % 0.39/0.58 (step-pop @p132 :rule scope :premises (@p131)) % 0.39/0.58 (step @p59 :rule process_scope :premises (@p132) :args (false)) % 0.39/0.58 (assume-push @p133 @t16) % 0.39/0.58 (assume-push @p134 @t33) % 0.39/0.58 (assume-push @p135 @t45) % 0.39/0.58 (assume-push @p136 @t39) % 0.39/0.58 (assume-push @p137 @t16) % 0.39/0.58 (assume-push @p138 @t33) % 0.39/0.58 (assume-push @p139 @t46) % 0.39/0.58 (step @p71 :rule evaluate :args ((>= -1 0))) % 0.39/0.58 (step @p72 :rule refl :args (0)) % 0.39/0.58 (step @p73 :rule arith_poly_norm :args ((= @t49 -1))) % 0.39/0.58 (step @p74 :rule cong :premises (@p73 @p72) :args ((>= @t49 0))) % 0.39/0.58 (step @p75 :rule trans :premises (@p74 @p71)) % 0.39/0.58 (step @p76 :rule arith-geq-norm1-int :args (@t48 @t47)) % 0.39/0.58 (step @p77 :rule trans :premises (@p76 @p75)) % 0.39/0.58 (step @p78 :rule arith-elim-leq :args (@t47 @t48)) % 0.39/0.58 (step @p79 :rule trans :premises (@p78 @p77)) % 0.39/0.58 (step @p80 :rule arith_poly_norm :args ((= @t50 @t48))) % 0.39/0.58 (step @p81 :rule arith_poly_norm :args ((= @t52 @t47))) % 0.39/0.58 (step @p82 :rule arith_poly_norm :args ((= @t54 @t52))) % 0.39/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.39/0.58 (step @p84 :rule cong :premises (@p83 @p80) :args ((<= @t54 @t50))) % 0.39/0.58 (step @p85 :rule trans :premises (@p84 @p79)) % 0.39/0.58 (step @p86 :rule arith_poly_norm :args ((= (* 1 (- @t53 -1)) (* 1 @t31)))) % 0.39/0.58 (step @p87 :rule arith_poly_norm_rel :premises (@p86) :args ((= (= @t53 -1) @t33))) % 0.39/0.58 (step @p88 :rule symm :premises (@p87)) % 0.39/0.58 (step @p89 :rule eq_resolve :premises (@p27 @p88)) % 0.39/0.58 (step @p90 :rule arith_mult_neg :args (-1 @t46)) % 0.39/0.58 (step @p91 :rule evaluate :args ((< -1 0))) % 0.39/0.58 (step @p92 :rule true_elim :premises (@p91)) % 0.39/0.58 (step @p93 :rule and_intro :premises (@p92 @p139)) % 0.39/0.58 (step @p94 :rule modus_ponens :premises (@p93 @p90)) % 0.39/0.58 (step @p95 :rule arith_sum_ub :premises (@p94 @p89)) % 0.39/0.58 (step @p96 false :rule eq_resolve :premises (@p95 @p85)) % 0.39/0.58 (step-pop @p140 :rule scope :premises (@p96)) % 0.39/0.58 (step @p97 :rule process_scope :premises (@p140) :args (false)) % 0.39/0.58 (step @p99 :rule false_intro :premises (@p97)) % 0.39/0.58 (step @p100 :rule refl :args (@t29)) % 0.39/0.58 (step @p101 :rule symm :premises (@p7)) % 0.39/0.58 (step @p102 :rule cong :premises (@p101 @p100) :args (@t43)) % 0.39/0.58 (step @p103 :rule trans :premises (@p102 @p99)) % 0.39/0.58 (step @p104 :rule false_elim :premises (@p103)) % 0.39/0.58 (step-pop @p141 :rule scope :premises (@p104)) % 0.39/0.58 (step-pop @p142 :rule scope :premises (@p141)) % 0.39/0.58 (step @p105 :rule process_scope :premises (@p142) :args (@t44)) % 0.39/0.58 (step @p108 :rule and_intro :premises (@p7 @p27)) % 0.39/0.58 (step @p109 :rule modus_ponens :premises (@p108 @p105)) % 0.39/0.58 (step @p110 :rule cong :premises (@p31) :args (@t29)) % 0.39/0.58 (step @p111 :rule and_intro :premises (@p7 @p44 @p110 @p109)) % 0.39/0.58 (step-pop @p143 :rule scope :premises (@p111)) % 0.39/0.58 (step-pop @p144 :rule scope :premises (@p143)) % 0.39/0.58 (step-pop @p145 :rule scope :premises (@p144)) % 0.39/0.58 (step-pop @p146 :rule scope :premises (@p145)) % 0.39/0.58 (step @p112 :rule process_scope :premises (@p146) :args (@t55)) % 0.39/0.58 (step @p117 :rule implies_elim :premises (@p112)) % 0.39/0.58 (step @p118 :rule resolution :premises (@p117 @p59) :args (true @t55)) % 0.39/0.58 (step @p119 :rule not_and :premises (@p118)) % 0.39/0.58 (step @p120 false :rule chain_m_resolution :premises (@p119 @p44 @p31 @p27 @p7) :args (false (@list false false false false) (@list @t39 @t45 @t33 @t16))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------