%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI618_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:07:59 AM UTC 2026 % Result : Theorem 0.42s 0.63s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI618_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:30:26 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_ARI % 0.42/0.63 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.42/0.63 % SZS status Theorem % 0.42/0.63 % SZS output start Proof % 0.42/0.63 ( % 0.42/0.63 (declare-const tptp.f (-> Int Int)) % 0.42/0.63 (define @t1 () (@var "X" Int)) % 0.42/0.63 (define @t2 () (tptp.f @t1)) % 0.42/0.63 (define @t3 () (tptp.f @t2)) % 0.42/0.63 (define @t4 () (= @t3 @t2)) % 0.42/0.63 (define @t5 () (@list @t1)) % 0.42/0.63 (define @t6 () (forall @t5 @t4)) % 0.42/0.63 (define @t7 () (- @t1)) % 0.42/0.63 (define @t8 () (<= @t2 @t7)) % 0.42/0.63 (define @t9 () (or (<= @t2 @t1) @t8)) % 0.42/0.63 (define @t10 () (<= @t7 @t2)) % 0.42/0.63 (define @t11 () (and (<= @t1 @t2) @t10 @t9)) % 0.42/0.63 (define @t12 () (forall @t5 @t11)) % 0.42/0.63 (define @t13 () (=> @t12 @t6)) % 0.42/0.63 (define @t14 () (not @t13)) % 0.42/0.63 (define @t15 () (= @t2 @t3)) % 0.42/0.63 (define @t16 () (+ @t1 @t2)) % 0.42/0.63 (define @t17 () (>= @t16 1)) % 0.42/0.63 (define @t18 () (+ @t1 (* -1 @t2))) % 0.42/0.63 (define @t19 () (>= @t18 0)) % 0.42/0.63 (define @t20 () (or @t19 (not @t17))) % 0.42/0.63 (define @t21 () (forall @t5 @t20)) % 0.42/0.63 (define @t22 () (@list @t1)) % 0.42/0.63 (define @t23 () (>= @t16 0)) % 0.42/0.63 (define @t24 () (forall @t5 @t23)) % 0.42/0.63 (define @t25 () (>= @t18 1)) % 0.42/0.63 (define @t26 () (not @t25)) % 0.42/0.63 (define @t27 () (forall @t5 @t26)) % 0.42/0.63 (define @t28 () (and @t27 @t24 @t21)) % 0.42/0.63 (define @t29 () (* -1 @t1)) % 0.42/0.63 (define @t30 () (+ @t29 1)) % 0.42/0.63 (define @t31 () (>= @t2 @t30)) % 0.42/0.63 (define @t32 () (+ @t2 1)) % 0.42/0.63 (define @t33 () (>= @t1 @t32)) % 0.42/0.63 (define @t34 () (@quantifiers_skolemize (forall @t5 @t15) 0)) % 0.42/0.63 (define @t35 () (tptp.f @t34)) % 0.42/0.63 (define @t36 () (@list @t35)) % 0.42/0.63 (define @t37 () (tptp.f @t35)) % 0.42/0.63 (define @t38 () (* -1 @t37)) % 0.42/0.63 (define @t39 () (+ @t35 @t38)) % 0.42/0.63 (define @t40 () (= @t35 @t37)) % 0.42/0.63 (define @t41 () (= @t39 0)) % 0.42/0.63 (define @t42 () (@list @t34)) % 0.42/0.63 (define @t43 () (+ @t35 @t37)) % 0.42/0.63 (define @t44 () (>= @t43 1)) % 0.42/0.63 (define @t45 () (+ @t34 @t35)) % 0.42/0.63 (define @t46 () (>= @t45 0)) % 0.42/0.63 (define @t47 () (not @t46)) % 0.42/0.63 (define @t48 () (>= @t39 1)) % 0.42/0.63 (define @t49 () (* -1 @t35)) % 0.42/0.63 (define @t50 () (+ @t34 @t49)) % 0.42/0.63 (define @t51 () (>= @t50 1)) % 0.42/0.63 (define @t52 () (not @t44)) % 0.42/0.63 (define @t53 () (not @t48)) % 0.42/0.63 (define @t54 () (not @t40)) % 0.42/0.63 (define @t55 () (not @t51)) % 0.42/0.63 (define @t56 () (* -1 0)) % 0.42/0.63 (define @t57 () (+ 1 0 -1 @t56)) % 0.42/0.63 (define @t58 () (* 0 @t34)) % 0.42/0.63 (define @t59 () (+ @t49 @t38 @t37 @t35 @t58)) % 0.42/0.63 (define @t60 () (+ @t43 @t50 @t39 (* -1 @t45))) % 0.42/0.63 (define @t61 () (>= @t60 @t57)) % 0.42/0.63 (define @t62 () (>= @t39 0)) % 0.42/0.63 (define @t63 () (or @t62 @t52)) % 0.42/0.63 (assume @p1 @t14) % 0.42/0.63 (assume @p2 true) % 0.42/0.63 (step @p3 :rule arith_poly_norm :args ((= (* 1 (- @t3 @t2)) (* -1 (- @t2 @t3))))) % 0.42/0.63 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= @t4 @t15))) % 0.42/0.63 (step @p5 :rule cong :premises (@p4) :args (@t6)) % 0.42/0.63 (step @p6 :rule alpha_equiv :args (@t21 @t22 (@list (@var "BOUND_VARIABLE_7456" Int)))) % 0.42/0.63 (step @p7 :rule alpha_equiv :args (@t24 @t22 (@list (@var "BOUND_VARIABLE_7449" Int)))) % 0.42/0.63 (step @p8 :rule alpha_equiv :args (@t27 @t22 (@list (@var "BOUND_VARIABLE_7440" Int)))) % 0.42/0.63 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t28)) % 0.42/0.63 (step @p10 :rule quant-miniscope-and :args ((= (forall @t5 (and @t26 @t23 @t20)) @t28))) % 0.42/0.63 (step @p11 :rule trans :premises (@p10 @p9)) % 0.42/0.63 (step @p12 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t30)) (* -1 (- @t16 1))))) % 0.42/0.63 (step @p13 :rule arith_poly_norm_rel :premises (@p12) :args ((= @t31 @t17))) % 0.42/0.63 (step @p14 :rule cong :premises (@p13) :args ((not @t31))) % 0.42/0.63 (step @p15 :rule arith-leq-norm :args (@t2 @t29)) % 0.42/0.63 (step @p16 :rule trans :premises (@p15 @p14)) % 0.42/0.63 (step @p17 :rule arith_poly_norm :args ((= @t7 @t29))) % 0.42/0.63 (step @p18 :rule refl :args (@t2)) % 0.42/0.63 (step @p19 :rule cong :premises (@p18 @p17) :args (@t8)) % 0.42/0.63 (step @p20 :rule trans :premises (@p19 @p16)) % 0.42/0.63 (step @p21 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t2)) (* 1 (- @t18 0))))) % 0.42/0.63 (step @p22 :rule arith_poly_norm_rel :premises (@p21) :args ((= (>= @t1 @t2) @t19))) % 0.42/0.63 (step @p23 :rule arith-elim-leq :args (@t2 @t1)) % 0.42/0.63 (step @p24 :rule trans :premises (@p23 @p22)) % 0.42/0.63 (step @p25 :rule nary_cong :premises (@p24 @p20) :args (@t9)) % 0.42/0.63 (step @p26 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t29)) (* 1 (- @t16 0))))) % 0.42/0.63 (step @p27 :rule arith_poly_norm_rel :premises (@p26) :args ((= (>= @t2 @t29) @t23))) % 0.42/0.63 (step @p28 :rule arith-elim-leq :args (@t29 @t2)) % 0.42/0.63 (step @p29 :rule trans :premises (@p28 @p27)) % 0.42/0.63 (step @p30 :rule cong :premises (@p17 @p18) :args (@t10)) % 0.42/0.63 (step @p31 :rule trans :premises (@p30 @p29)) % 0.42/0.63 (step @p32 :rule arith_poly_norm :args ((= (* -1 (- @t1 @t32)) (* -1 (- @t18 1))))) % 0.42/0.63 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args ((= @t33 @t25))) % 0.42/0.63 (step @p34 :rule cong :premises (@p33) :args ((not @t33))) % 0.42/0.63 (step @p35 :rule arith-leq-norm :args (@t1 @t2)) % 0.42/0.63 (step @p36 :rule trans :premises (@p35 @p34)) % 0.42/0.63 (step @p37 :rule nary_cong :premises (@p36 @p31 @p25) :args (@t11)) % 0.42/0.63 (step @p38 :rule cong :premises (@p37) :args (@t12)) % 0.42/0.63 (step @p39 :rule trans :premises (@p38 @p11)) % 0.42/0.63 (step @p40 :rule cong :premises (@p39 @p5) :args (@t13)) % 0.42/0.63 (step @p41 :rule cong :premises (@p40) :args (@t14)) % 0.42/0.63 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.42/0.63 (step @p43 :rule not_implies_elim1 :premises (@p42)) % 0.42/0.63 (step @p44 :rule and_elim :premises (@p43) :args (2)) % 0.42/0.63 (step @p45 :rule instantiate :premises (@p44) :args (@t36)) % 0.42/0.63 (step @p46 :rule arith-elim-lt :args (@t39 0)) % 0.42/0.63 (step @p47 :rule arith-elim-lt :args (@t39 1)) % 0.42/0.63 (step @p48 :rule symm :premises (@p47)) % 0.42/0.63 (step @p49 :rule and_elim :premises (@p43) :args (0)) % 0.42/0.63 (step @p50 :rule instantiate :premises (@p49) :args (@t36)) % 0.42/0.63 (step @p51 :rule eq_resolve :premises (@p50 @p48)) % 0.42/0.63 (step @p52 :rule int_tight_ub :premises (@p51)) % 0.42/0.63 (step @p53 :rule arith_poly_norm :args ((= (* 1 (- @t39 0)) (* 1 (- @t35 @t37))))) % 0.42/0.63 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args ((= @t41 @t40))) % 0.42/0.63 (step @p55 :rule cong :premises (@p54) :args ((not @t41))) % 0.42/0.63 (step @p56 :rule symm :premises (@p55)) % 0.42/0.63 (step @p57 :rule not_implies_elim2 :premises (@p42)) % 0.42/0.63 (step @p58 :rule skolemize :premises (@p57)) % 0.42/0.63 (step @p59 :rule eq_resolve :premises (@p58 @p56)) % 0.42/0.63 (step @p60 :rule arith_trichotomy :premises (@p59 @p52)) % 0.42/0.63 (step @p61 :rule eq_resolve :premises (@p60 @p46)) % 0.42/0.63 (step @p62 :rule and_elim :premises (@p43) :args (1)) % 0.42/0.63 (step @p63 :rule instantiate :premises (@p62) :args (@t42)) % 0.42/0.63 (step @p64 :rule instantiate :premises (@p49) :args (@t42)) % 0.42/0.63 (step @p65 :rule bool-double-not-elim :args (@t44)) % 0.42/0.63 (step @p66 :rule refl :args (@t47)) % 0.42/0.63 (step @p67 :rule bool-double-not-elim :args (@t48)) % 0.42/0.63 (step @p68 :rule bool-double-not-elim :args (@t40)) % 0.42/0.63 (step @p69 :rule bool-double-not-elim :args (@t51)) % 0.42/0.63 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67 @p66 @p65) :args ((or (not @t55) (not @t54) (not @t53) @t47 (not @t52)))) % 0.42/0.63 (assume-push @p129 @t55) % 0.42/0.63 (assume-push @p130 @t54) % 0.42/0.63 (assume-push @p131 @t53) % 0.42/0.63 (assume-push @p132 @t46) % 0.42/0.63 (assume-push @p133 @t52) % 0.42/0.63 (step @p76 :rule evaluate :args ((not true))) % 0.42/0.63 (step @p77 :rule evaluate :args ((>= 0 0))) % 0.42/0.63 (step @p78 :rule evaluate :args ((+ 1 0 -1 0))) % 0.42/0.63 (step @p79 :rule evaluate :args (@t56)) % 0.42/0.63 (step @p80 :rule refl :args (-1)) % 0.42/0.63 (step @p81 :rule refl :args (0)) % 0.42/0.63 (step @p82 :rule refl :args (1)) % 0.42/0.63 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79) :args (@t57)) % 0.42/0.63 (step @p84 :rule trans :premises (@p83 @p78)) % 0.42/0.63 (step @p85 :rule arith_poly_norm :args ((= (+ @t49 @t38 @t37 @t35 0) 0))) % 0.42/0.63 (step @p86 :rule arith_poly_norm :args ((= @t58 0))) % 0.42/0.63 (step @p87 :rule refl :args (@t35)) % 0.42/0.63 (step @p88 :rule refl :args (@t37)) % 0.42/0.63 (step @p89 :rule refl :args (@t38)) % 0.42/0.63 (step @p90 :rule refl :args (@t49)) % 0.42/0.63 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88 @p87 @p86) :args (@t59)) % 0.42/0.63 (step @p92 :rule trans :premises (@p91 @p85)) % 0.42/0.63 (step @p93 :rule arith_poly_norm :args ((= @t60 @t59))) % 0.42/0.63 (step @p94 :rule trans :premises (@p93 @p92)) % 0.42/0.63 (step @p95 :rule cong :premises (@p94 @p84) :args (@t61)) % 0.42/0.63 (step @p96 :rule trans :premises (@p95 @p77)) % 0.42/0.63 (step @p97 :rule cong :premises (@p96) :args ((not @t61))) % 0.42/0.63 (step @p98 :rule trans :premises (@p97 @p76)) % 0.42/0.63 (step @p99 :rule arith-elim-lt :args (@t60 @t57)) % 0.42/0.63 (step @p100 :rule trans :premises (@p99 @p98)) % 0.42/0.63 (step @p101 :rule arith_mult_neg :args (-1 @t46)) % 0.42/0.63 (step @p102 :rule evaluate :args ((< -1 0))) % 0.42/0.63 (step @p103 :rule true_elim :premises (@p102)) % 0.42/0.63 (step @p104 :rule and_intro :premises (@p103 @p63)) % 0.42/0.63 (step @p105 :rule modus_ponens :premises (@p104 @p101)) % 0.42/0.63 (step @p106 :rule int_tight_ub :premises (@p60)) % 0.42/0.63 (step @p107 :rule arith-elim-lt :args (@t50 1)) % 0.42/0.63 (step @p108 :rule symm :premises (@p107)) % 0.42/0.63 (step @p109 :rule eq_resolve :premises (@p64 @p108)) % 0.42/0.63 (step @p110 :rule int_tight_ub :premises (@p109)) % 0.42/0.63 (step @p111 :rule arith-elim-lt :args (@t43 1)) % 0.42/0.63 (step @p112 :rule symm :premises (@p111)) % 0.42/0.63 (step @p113 :rule eq_resolve :premises (@p133 @p112)) % 0.42/0.63 (step @p114 :rule arith_sum_ub :premises (@p113 @p110 @p106 @p105)) % 0.42/0.63 (step @p115 false :rule eq_resolve :premises (@p114 @p100)) % 0.42/0.63 (step-pop @p134 :rule scope :premises (@p115)) % 0.42/0.63 (step-pop @p135 :rule scope :premises (@p134)) % 0.42/0.63 (step-pop @p136 :rule scope :premises (@p135)) % 0.42/0.63 (step-pop @p137 :rule scope :premises (@p136)) % 0.42/0.63 (step-pop @p138 :rule scope :premises (@p137)) % 0.42/0.63 (step @p116 :rule process_scope :premises (@p138) :args (false)) % 0.42/0.63 (step @p122 :rule not_and :premises (@p116)) % 0.42/0.63 (step @p123 :rule eq_resolve :premises (@p122 @p70)) % 0.42/0.63 (step @p124 :rule reordering :premises (@p123) :args ((or @t40 @t48 @t51 @t44 @t47))) % 0.42/0.63 (step @p125 :rule chain_m_resolution :premises (@p124 @p58 @p50 @p64 @p63) :args (@t44 (@list true true true false) (@list @t40 @t48 @t51 @t46))) % 0.42/0.63 (step @p126 :rule cnf_or_pos :args (@t63)) % 0.42/0.63 (step @p127 :rule reordering :premises (@p126) :args ((or @t62 @t52 (not @t63)))) % 0.42/0.63 (step @p128 false :rule chain_m_resolution :premises (@p127 @p125 @p61 @p45) :args (false (@list false true false) (@list @t44 @t62 @t63))) % 0.42/0.63 ) % 0.42/0.63 % SZS output end Proof % 0.42/0.63 % cvc5 exiting %------------------------------------------------------------------------------