%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT041_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:14:24 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT041_1 : TPTP v9.2.1. Released v5.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 22:26:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 0.36/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.36/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort tptp.collection 0) % 0.36/0.62 (declare-const tptp.count (-> tptp.collection Int)) % 0.36/0.62 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 0.36/0.62 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 0.36/0.62 (declare-const tptp.in (-> Int tptp.collection Bool)) % 0.36/0.62 (declare-const tptp.empty tptp.collection) % 0.36/0.62 (define @t1 () (@var "U" Int)) % 0.36/0.62 (define @t2 () (@var "W" tptp.collection)) % 0.36/0.62 (define @t3 () (@var "V" Int)) % 0.36/0.62 (define @t4 () (@var "Y" tptp.collection)) % 0.36/0.62 (define @t5 () (@var "X" Int)) % 0.36/0.62 (define @t6 () (@var "X1" tptp.collection)) % 0.36/0.62 (define @t7 () (@var "X2" Int)) % 0.36/0.62 (define @t8 () (@var "Z" Int)) % 0.36/0.62 (define @t9 () (@var "X4" tptp.collection)) % 0.36/0.62 (define @t10 () (@var "X5" Int)) % 0.36/0.62 (define @t11 () (@var "X3" Int)) % 0.36/0.62 (define @t12 () (@var "X6" tptp.collection)) % 0.36/0.62 (define @t13 () (@var "X7" tptp.collection)) % 0.36/0.62 (define @t14 () (@var "X9" tptp.collection)) % 0.36/0.62 (define @t15 () (@var "X8" Int)) % 0.36/0.62 (define @t16 () (@var "X11" tptp.collection)) % 0.36/0.62 (define @t17 () (@var "X10" Int)) % 0.36/0.62 (define @t18 () (forall (@list @t17 @t16) (= (tptp.in @t17 @t16) (= (tptp.count (tptp.add @t17 @t16)) (tptp.count @t16))))) % 0.36/0.62 (define @t19 () (@var "X13" tptp.collection)) % 0.36/0.62 (define @t20 () (@var "X12" Int)) % 0.36/0.62 (define @t21 () (@var "X15" tptp.collection)) % 0.36/0.62 (define @t22 () (@var "X14" Int)) % 0.36/0.62 (define @t23 () (@var "X17" tptp.collection)) % 0.36/0.62 (define @t24 () (@var "X16" Int)) % 0.36/0.62 (define @t25 () (@var "U" tptp.collection)) % 0.36/0.62 (define @t26 () (tptp.count (tptp.add @t3 @t25))) % 0.36/0.62 (define @t27 () (tptp.count @t25)) % 0.36/0.62 (define @t28 () (+ @t27 1)) % 0.36/0.62 (define @t29 () (@list @t25 @t3)) % 0.36/0.62 (define @t30 () (exists @t29 (> @t28 @t26))) % 0.36/0.62 (define @t31 () (not @t30)) % 0.36/0.62 (define @t32 () (* -1 0)) % 0.36/0.62 (define @t33 () (+ -1 @t32)) % 0.36/0.62 (define @t34 () (tptp.add 0 tptp.empty)) % 0.36/0.62 (define @t35 () (tptp.count @t34)) % 0.36/0.62 (define @t36 () (* 0 @t35)) % 0.36/0.62 (define @t37 () (tptp.count (tptp.add 0 @t34))) % 0.36/0.62 (define @t38 () (* 0 @t37)) % 0.36/0.62 (define @t39 () (+ @t38 @t36)) % 0.36/0.62 (define @t40 () (+ @t35 (* -1 @t37))) % 0.36/0.62 (define @t41 () (+ @t40 (* -1 @t40))) % 0.36/0.62 (define @t42 () (= @t40 0)) % 0.36/0.62 (define @t43 () (- @t35 @t37)) % 0.36/0.62 (define @t44 () (= @t35 @t37)) % 0.36/0.62 (define @t45 () (= @t37 @t35)) % 0.36/0.62 (define @t46 () (tptp.in 0 @t34)) % 0.36/0.62 (define @t47 () (= @t46 @t45)) % 0.36/0.62 (define @t48 () (= @t46 @t44)) % 0.36/0.62 (define @t49 () (+ @t27 (* -1 @t26))) % 0.36/0.62 (define @t50 () (>= @t49 0)) % 0.36/0.62 (define @t51 () (forall @t29 (not @t50))) % 0.36/0.62 (define @t52 () (+ @t26 1)) % 0.36/0.62 (define @t53 () (+ 1 @t27)) % 0.36/0.62 (define @t54 () (>= @t53 @t52)) % 0.36/0.62 (define @t55 () (<= @t28 @t26)) % 0.36/0.62 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 0.36/0.62 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 0.36/0.62 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 0.36/0.62 (assume @p4 (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 0.36/0.62 (assume @p5 (forall (@list @t11 @t9 @t10) (= (and (tptp.in @t11 @t9) (not (= @t11 @t10))) (tptp.in @t11 (tptp.remove @t10 @t9))))) % 0.36/0.62 (assume @p6 (forall (@list @t12) (>= (tptp.count @t12) 0))) % 0.36/0.62 (assume @p7 (forall (@list @t13) (= (= @t13 tptp.empty) (= (tptp.count @t13) 0)))) % 0.36/0.62 (assume @p8 (forall (@list @t15 @t14) (= (not (tptp.in @t15 @t14)) (= (tptp.count (tptp.add @t15 @t14)) (+ (tptp.count @t14) 1))))) % 0.36/0.62 (assume @p9 @t18) % 0.36/0.62 (assume @p10 (forall (@list @t20 @t19) (= (tptp.in @t20 @t19) (= (tptp.count (tptp.remove @t20 @t19)) (- (tptp.count @t19) 1))))) % 0.36/0.62 (assume @p11 (forall (@list @t22 @t21) (= (not (tptp.in @t22 @t21)) (= (tptp.count (tptp.remove @t22 @t21)) (tptp.count @t21))))) % 0.36/0.62 (assume @p12 (forall (@list @t24 @t23) (=> (tptp.in @t24 @t23) (= @t23 (tptp.add @t24 (tptp.remove @t24 @t23)))))) % 0.36/0.62 (assume @p13 @t31) % 0.36/0.62 (assume @p14 true) % 0.36/0.62 (step @p15 :rule evaluate :args ((<= 0 -1))) % 0.36/0.62 (step @p16 :rule evaluate :args ((+ -1 0))) % 0.36/0.62 (step @p17 :rule evaluate :args (@t32)) % 0.36/0.62 (step @p18 :rule refl :args (-1)) % 0.36/0.62 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t33)) % 0.36/0.62 (step @p20 :rule trans :premises (@p19 @p16)) % 0.36/0.62 (step @p21 :rule evaluate :args ((+ 0 0))) % 0.36/0.62 (step @p22 :rule arith_poly_norm :args ((= @t36 0))) % 0.36/0.62 (step @p23 :rule arith_poly_norm :args ((= @t38 0))) % 0.36/0.62 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t39)) % 0.36/0.62 (step @p25 :rule trans :premises (@p24 @p21)) % 0.36/0.62 (step @p26 :rule arith_poly_norm :args ((= @t41 @t39))) % 0.36/0.62 (step @p27 :rule trans :premises (@p26 @p25)) % 0.36/0.62 (step @p28 :rule cong :premises (@p27 @p20) :args ((<= @t41 @t33))) % 0.36/0.62 (step @p29 :rule trans :premises (@p28 @p15)) % 0.36/0.62 (step @p30 :rule arith_mult_neg :args (-1 @t42)) % 0.36/0.62 (step @p31 :rule arith_poly_norm :args ((= (* 1 (- @t40 0)) (* 1 @t43)))) % 0.36/0.62 (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= @t42 @t44))) % 0.36/0.62 (step @p33 :rule symm :premises (@p32)) % 0.36/0.62 (step @p34 :rule arith_poly_norm :args ((= (* 1 (- @t37 @t35)) (* -1 @t43)))) % 0.36/0.62 (step @p35 :rule arith_poly_norm_rel :premises (@p34) :args ((= @t45 @t44))) % 0.36/0.62 (step @p36 :rule refl :args (@t46)) % 0.36/0.62 (step @p37 :rule cong :premises (@p36 @p35) :args (@t47)) % 0.36/0.62 (step @p38 :rule refl :args (@t18)) % 0.36/0.62 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t18 @t47))) % 0.36/0.62 (assume-push @p88 @t18) % 0.36/0.62 (step @p41 :rule instantiate :premises (@p9) :args ((@list 0 @t34))) % 0.36/0.62 (step-pop @p89 :rule scope :premises (@p41)) % 0.36/0.62 (step @p42 :rule process_scope :premises (@p89) :args (@t47)) % 0.36/0.62 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 0.36/0.62 (step @p45 :rule implies_elim :premises (@p44)) % 0.36/0.62 (step @p46 :rule chain_m_resolution :premises (@p45 @p9) :args (@t48 (@list false) (@list @t18))) % 0.36/0.62 (step @p47 :rule instantiate :premises (@p2) :args ((@list 0 tptp.empty))) % 0.36/0.62 (step @p48 :rule cnf_equiv_pos1 :args (@t48)) % 0.36/0.62 (step @p49 :rule reordering :premises (@p48) :args ((or (not @t46) @t44 (not @t48)))) % 0.36/0.62 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p46) :args (@t44 (@list false false) (@list @t46 @t48))) % 0.36/0.62 (step @p51 :rule eq_resolve :premises (@p50 @p33)) % 0.36/0.62 (step @p52 :rule evaluate :args ((< -1 0))) % 0.36/0.62 (step @p53 :rule true_elim :premises (@p52)) % 0.36/0.62 (step @p54 :rule and_intro :premises (@p53 @p51)) % 0.36/0.62 (step @p55 :rule modus_ponens :premises (@p54 @p30)) % 0.36/0.62 (step @p56 :rule arith-elim-lt :args (@t40 0)) % 0.36/0.62 (step @p57 :rule symm :premises (@p56)) % 0.36/0.62 (step @p58 :rule bool-double-not-elim :args (@t51)) % 0.36/0.62 (step @p59 :rule exists-elim :args ((= (exists @t29 @t50) (not @t51)))) % 0.36/0.62 (step @p60 :rule bool-double-not-elim :args (@t50)) % 0.36/0.62 (step @p61 :rule arith_poly_norm :args ((= (* 1 (- @t53 @t52)) (* 1 (- @t49 0))))) % 0.36/0.62 (step @p62 :rule arith_poly_norm_rel :premises (@p61) :args ((= @t54 @t50))) % 0.36/0.62 (step @p63 :rule cong :premises (@p62) :args ((not @t54))) % 0.36/0.62 (step @p64 :rule arith-leq-norm :args (@t53 @t26)) % 0.36/0.62 (step @p65 :rule trans :premises (@p64 @p63)) % 0.36/0.62 (step @p66 :rule refl :args (@t26)) % 0.36/0.62 (step @p67 :rule arith_poly_norm :args ((= @t28 @t53))) % 0.36/0.62 (step @p68 :rule cong :premises (@p67 @p66) :args (@t55)) % 0.36/0.62 (step @p69 :rule trans :premises (@p68 @p65)) % 0.36/0.62 (step @p70 :rule cong :premises (@p69) :args ((not @t55))) % 0.36/0.62 (step @p71 :rule trans :premises (@p70 @p60)) % 0.36/0.62 (step @p72 :rule arith-elim-leq :args (@t28 @t26)) % 0.36/0.62 (step @p73 :rule symm :premises (@p72)) % 0.36/0.62 (step @p74 :rule cong :premises (@p73) :args ((not (>= @t26 @t28)))) % 0.36/0.62 (step @p75 :rule arith-elim-gt :args (@t28 @t26)) % 0.36/0.62 (step @p76 :rule trans :premises (@p75 @p74)) % 0.36/0.62 (step @p77 :rule trans :premises (@p76 @p71)) % 0.36/0.62 (step @p78 :rule cong :premises (@p77) :args (@t30)) % 0.36/0.62 (step @p79 :rule trans :premises (@p78 @p59)) % 0.36/0.62 (step @p80 :rule cong :premises (@p79) :args (@t31)) % 0.36/0.62 (step @p81 :rule trans :premises (@p80 @p58)) % 0.36/0.62 (step @p82 :rule eq_resolve :premises (@p13 @p81)) % 0.36/0.62 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t34 0))) % 0.36/0.62 (step @p84 :rule eq_resolve :premises (@p83 @p57)) % 0.36/0.62 (step @p85 :rule int_tight_ub :premises (@p84)) % 0.36/0.62 (step @p86 :rule arith_sum_ub :premises (@p85 @p55)) % 0.36/0.62 (step @p87 false :rule eq_resolve :premises (@p86 @p29)) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------