%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT093_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 : n010.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 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT093_1 : TPTP v9.2.1. Released v6.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 22:28:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.37/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort tptp.list 0) % 0.37/0.56 (declare-const tptp.count (-> Int tptp.list Int)) % 0.37/0.56 (declare-const tptp.length (-> tptp.list Int)) % 0.37/0.56 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 0.37/0.56 (declare-const tptp.in (-> Int tptp.list Bool)) % 0.37/0.56 (declare-const tptp.nil tptp.list) % 0.37/0.56 (declare-const tptp.append (-> tptp.list tptp.list tptp.list)) % 0.37/0.56 (declare-const tptp.tail (-> tptp.list tptp.list)) % 0.37/0.56 (declare-const tptp.head (-> tptp.list Int)) % 0.37/0.56 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 0.37/0.56 (define @t1 () (@var "K" Int)) % 0.37/0.56 (define @t2 () (@var "L" tptp.list)) % 0.37/0.56 (define @t3 () (tptp.cons @t1 @t2)) % 0.37/0.56 (define @t4 () (@list @t1 @t2)) % 0.37/0.56 (define @t5 () (= @t2 tptp.nil)) % 0.37/0.56 (define @t6 () (@list @t2)) % 0.37/0.56 (define @t7 () (@var "T" tptp.list)) % 0.37/0.56 (define @t8 () (@var "X" Int)) % 0.37/0.56 (define @t9 () (@var "H" Int)) % 0.37/0.56 (define @t10 () (tptp.cons @t9 @t7)) % 0.37/0.56 (define @t11 () (= @t2 @t10)) % 0.37/0.56 (define @t12 () (@list @t9 @t7)) % 0.37/0.56 (define @t13 () (@var "N" Int)) % 0.37/0.56 (define @t14 () (@list @t13 @t2)) % 0.37/0.56 (define @t15 () (tptp.length tptp.nil)) % 0.37/0.56 (define @t16 () (= @t15 0)) % 0.37/0.56 (define @t17 () (tptp.count @t1 @t7)) % 0.37/0.56 (define @t18 () (tptp.count @t1 @t10)) % 0.37/0.56 (define @t19 () (= @t1 @t9)) % 0.37/0.56 (define @t20 () (@list @t1 @t9 @t7 @t13)) % 0.37/0.56 (define @t21 () (tptp.append tptp.nil @t2)) % 0.37/0.56 (define @t22 () (forall @t6 (= @t21 @t2))) % 0.37/0.56 (define @t23 () (@var "K" tptp.list)) % 0.37/0.56 (define @t24 () (tptp.append @t23 @t2)) % 0.37/0.56 (define @t25 () (@var "I" Int)) % 0.37/0.56 (define @t26 () (tptp.length @t2)) % 0.37/0.56 (define @t27 () (tptp.length @t23)) % 0.37/0.56 (define @t28 () (+ (+ @t27 @t26) 1)) % 0.37/0.56 (define @t29 () (tptp.length @t24)) % 0.37/0.56 (define @t30 () (= @t29 @t28)) % 0.37/0.56 (define @t31 () (@list @t23 @t2)) % 0.37/0.56 (define @t32 () (forall @t31 @t30)) % 0.37/0.56 (define @t33 () (+ 1 @t27 @t26)) % 0.37/0.56 (define @t34 () (+ @t26 @t27 1)) % 0.37/0.56 (define @t35 () (* 2 @t15)) % 0.37/0.56 (define @t36 () (+ 1 @t35)) % 0.37/0.56 (define @t37 () (+ 1 @t15 @t15)) % 0.37/0.56 (define @t38 () (tptp.append tptp.nil tptp.nil)) % 0.37/0.56 (define @t39 () (tptp.length @t38)) % 0.37/0.56 (define @t40 () (= @t39 @t37)) % 0.37/0.56 (define @t41 () (forall @t31 (= @t29 @t33))) % 0.37/0.56 (define @t42 () (= @t39 @t36)) % 0.37/0.56 (define @t43 () (@list false)) % 0.37/0.56 (define @t44 () (@list @t41)) % 0.37/0.56 (define @t45 () (= 0 @t39)) % 0.37/0.56 (define @t46 () (* -1 @t39)) % 0.37/0.56 (define @t47 () (+ @t35 @t46)) % 0.37/0.56 (define @t48 () (= @t47 -1)) % 0.37/0.56 (define @t49 () (* -2 0)) % 0.37/0.56 (define @t50 () (+ -1 0 @t49)) % 0.37/0.56 (define @t51 () (* -2 @t15)) % 0.37/0.56 (define @t52 () (+ @t46 @t51 @t35 @t39)) % 0.37/0.56 (define @t53 () (+ @t47 @t39 @t51)) % 0.37/0.56 (define @t54 () (= (* -1 (- @t47 -1)) (* 1 (- @t39 @t36)))) % 0.37/0.56 (define @t55 () (= @t48 @t42)) % 0.37/0.56 (define @t56 () (= tptp.nil @t38)) % 0.37/0.56 (define @t57 () (and @t16 @t45 @t42)) % 0.37/0.56 (assume @p1 (forall @t4 (= (tptp.head @t3) @t1))) % 0.37/0.56 (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2))) % 0.37/0.56 (assume @p3 (forall @t6 (or @t5 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 0.37/0.56 (assume @p4 (forall @t4 (not (= @t3 tptp.nil)))) % 0.37/0.56 (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))))))) % 0.37/0.56 (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))))))) % 0.37/0.56 (assume @p7 @t16) % 0.37/0.56 (assume @p8 (forall @t12 (= (tptp.length @t10) (+ 1 (tptp.length @t7))))) % 0.37/0.56 (assume @p9 (forall (@list @t1) (= (tptp.count @t1 tptp.nil) 0))) % 0.37/0.56 (assume @p10 (forall @t20 (=> (not @t19) (= @t18 @t17)))) % 0.37/0.56 (assume @p11 (forall @t20 (=> @t19 (= @t18 (+ @t17 1))))) % 0.37/0.56 (assume @p12 @t22) % 0.37/0.56 (assume @p13 (forall (@list @t25 @t23 @t2) (= (tptp.append (tptp.cons @t25 @t23) @t2) (tptp.cons @t25 @t24)))) % 0.37/0.56 (assume @p14 (forall @t14 (= (tptp.in @t13 @t2) (> (tptp.count @t13 @t2) 0)))) % 0.37/0.56 (assume @p15 (not (not @t32))) % 0.37/0.56 (assume @p16 true) % 0.37/0.56 (step @p17 :rule eq-symm :args (@t21 @t2)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17) :args (@t22)) % 0.37/0.56 (step @p19 :rule eq_resolve :premises (@p12 @p18)) % 0.37/0.56 (step @p20 :rule instantiate :premises (@p19) :args ((@list tptp.nil))) % 0.37/0.56 (step @p21 :rule arith_poly_norm :args ((= @t34 @t33))) % 0.37/0.56 (step @p22 :rule arith_poly_norm :args ((= @t28 @t34))) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.56 (step @p24 :rule refl :args (@t29)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args (@t30)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25) :args (@t32)) % 0.37/0.57 (step @p27 :rule bool-double-not-elim :args (@t32)) % 0.37/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.57 (step @p29 :rule eq_resolve :premises (@p15 @p28)) % 0.37/0.57 (step @p30 :rule arith_poly_norm :args ((= @t37 @t36))) % 0.37/0.57 (step @p31 :rule refl :args (@t39)) % 0.37/0.57 (step @p32 :rule cong :premises (@p31 @p30) :args (@t40)) % 0.37/0.57 (step @p33 :rule refl :args (@t41)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t41 @t40))) % 0.37/0.57 (assume-push @p102 @t41) % 0.37/0.57 (step @p36 :rule instantiate :premises (@p29) :args ((@list tptp.nil tptp.nil))) % 0.37/0.57 (step-pop @p103 :rule scope :premises (@p36)) % 0.37/0.57 (step @p37 :rule process_scope :premises (@p103) :args (@t40)) % 0.37/0.57 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.37/0.57 (step @p40 :rule implies_elim :premises (@p39)) % 0.37/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p29) :args (@t42 @t43 @t44)) % 0.37/0.57 (assume-push @p104 @t16) % 0.37/0.57 (assume-push @p105 @t45) % 0.37/0.57 (assume-push @p106 @t42) % 0.37/0.57 (assume-push @p107 @t48) % 0.37/0.57 (step @p46 :rule evaluate :args ((<= 0 -1))) % 0.37/0.57 (step @p47 :rule evaluate :args ((+ -1 0 0))) % 0.37/0.57 (step @p48 :rule evaluate :args (@t49)) % 0.37/0.57 (step @p49 :rule refl :args (0)) % 0.37/0.57 (step @p50 :rule refl :args (-1)) % 0.37/0.57 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t50)) % 0.37/0.57 (step @p52 :rule trans :premises (@p51 @p47)) % 0.37/0.57 (step @p53 :rule arith_poly_norm :args ((= @t52 0))) % 0.37/0.57 (step @p54 :rule arith_poly_norm :args ((= @t53 @t52))) % 0.37/0.57 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55 @p52) :args ((<= @t53 @t50))) % 0.37/0.57 (step @p57 :rule trans :premises (@p56 @p46)) % 0.37/0.57 (step @p58 :rule arith_mult_neg :args (-2 @t16)) % 0.37/0.57 (step @p59 :rule evaluate :args ((< -2 0))) % 0.37/0.57 (step @p60 :rule true_elim :premises (@p59)) % 0.37/0.57 (step @p61 :rule and_intro :premises (@p60 @p7)) % 0.37/0.57 (step @p62 :rule modus_ponens :premises (@p61 @p58)) % 0.37/0.57 (step @p63 :rule symm :premises (@p105)) % 0.37/0.57 (step @p64 :rule arith_poly_norm :args (@t54)) % 0.37/0.57 (step @p65 :rule arith_poly_norm_rel :premises (@p64) :args (@t55)) % 0.37/0.57 (step @p66 :rule symm :premises (@p65)) % 0.37/0.57 (step @p67 :rule chain_m_resolution :premises (@p40 @p29) :args (@t42 @t43 @t44)) % 0.37/0.57 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.37/0.57 (step @p69 :rule arith_sum_ub :premises (@p68 @p63 @p62)) % 0.37/0.57 (step @p70 false :rule eq_resolve :premises (@p69 @p57)) % 0.37/0.57 (step-pop @p108 :rule scope :premises (@p70)) % 0.37/0.57 (step @p71 :rule process_scope :premises (@p108) :args (false)) % 0.37/0.57 (step @p64 :rule arith_poly_norm :args (@t54)) % 0.37/0.57 (step @p65 :rule arith_poly_norm_rel :premises (@p64) :args (@t55)) % 0.37/0.57 (step @p66 :rule symm :premises (@p65)) % 0.37/0.57 (step @p73 :rule eq_resolve :premises (@p41 @p66)) % 0.37/0.57 (step @p74 false :rule contra :premises (@p73 @p71)) % 0.37/0.57 (step-pop @p109 :rule scope :premises (@p74)) % 0.37/0.57 (step-pop @p110 :rule scope :premises (@p109)) % 0.37/0.57 (step-pop @p111 :rule scope :premises (@p110)) % 0.37/0.57 (step @p75 :rule process_scope :premises (@p111) :args (false)) % 0.37/0.57 (assume-push @p112 @t16) % 0.37/0.57 (assume-push @p113 @t56) % 0.37/0.57 (assume-push @p114 @t42) % 0.37/0.57 (assume-push @p115 @t56) % 0.37/0.57 (assume-push @p116 (= 0 @t15)) % 0.37/0.57 (step @p84 :rule cong :premises (@p20) :args (@t15)) % 0.37/0.57 (step @p85 :rule symm :premises (@p7)) % 0.37/0.57 (step @p86 :rule trans :premises (@p85 @p84)) % 0.37/0.57 (step-pop @p117 :rule scope :premises (@p86)) % 0.37/0.57 (step-pop @p118 :rule scope :premises (@p117)) % 0.37/0.57 (step @p87 :rule process_scope :premises (@p118) :args (@t45)) % 0.37/0.57 (step @p90 :rule symm :premises (@p7)) % 0.37/0.57 (step @p91 :rule and_intro :premises (@p20 @p90)) % 0.37/0.57 (step @p92 :rule modus_ponens :premises (@p91 @p87)) % 0.37/0.57 (step @p93 :rule and_intro :premises (@p7 @p92 @p41)) % 0.37/0.57 (step-pop @p119 :rule scope :premises (@p93)) % 0.37/0.57 (step-pop @p120 :rule scope :premises (@p119)) % 0.37/0.57 (step-pop @p121 :rule scope :premises (@p120)) % 0.37/0.57 (step @p94 :rule process_scope :premises (@p121) :args (@t57)) % 0.37/0.57 (step @p98 :rule implies_elim :premises (@p94)) % 0.37/0.57 (step @p99 :rule resolution :premises (@p98 @p75) :args (true @t57)) % 0.37/0.57 (step @p100 :rule not_and :premises (@p99)) % 0.37/0.57 (step @p101 false :rule chain_m_resolution :premises (@p100 @p41 @p20 @p7) :args (false (@list false false false) (@list @t42 @t56 @t16))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------