%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI573_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:07:53 AM UTC 2026 % Result : Theorem 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : ARI573_1 : TPTP v9.2.1. Released v5.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.26 % Computer : n012.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 300 % 0.07/0.26 % DateTime : Wed Jun 3 02:29:33 EDT 2026 % 0.07/0.26 % CPUTime : % 0.16/0.34 %----Proving TF0_ARI % 0.16/0.37 --- Run --finite-model-find --decision=internal at 45... % 0.16/0.37 % SZS status Theorem % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (define @t1 () (@var "Z" Int)) % 0.16/0.37 (define @t2 () (@var "Y" Int)) % 0.16/0.37 (define @t3 () (@var "X" Int)) % 0.16/0.37 (define @t4 () (+ (+ @t3 @t2) @t1)) % 0.16/0.37 (define @t5 () (<= 2 @t4)) % 0.16/0.37 (define @t6 () (- @t3)) % 0.16/0.37 (define @t7 () (* @t1 2)) % 0.16/0.37 (define @t8 () (+ @t7 @t6)) % 0.16/0.37 (define @t9 () (<= 1 @t8)) % 0.16/0.37 (define @t10 () (- @t1)) % 0.16/0.37 (define @t11 () (* @t2 2)) % 0.16/0.37 (define @t12 () (+ @t11 @t10)) % 0.16/0.37 (define @t13 () (<= 1 @t12)) % 0.16/0.37 (define @t14 () (- @t2)) % 0.16/0.37 (define @t15 () (* @t3 2)) % 0.16/0.37 (define @t16 () (+ @t15 @t14)) % 0.16/0.37 (define @t17 () (<= 1 @t16)) % 0.16/0.37 (define @t18 () (and @t17 @t13 @t9)) % 0.16/0.37 (define @t19 () (=> @t18 @t5)) % 0.16/0.37 (define @t20 () (@list @t3 @t2 @t1)) % 0.16/0.37 (define @t21 () (forall @t20 @t19)) % 0.16/0.37 (define @t22 () (not @t21)) % 0.16/0.37 (define @t23 () (+ @t3 @t2 @t1)) % 0.16/0.37 (define @t24 () (>= @t23 2)) % 0.16/0.37 (define @t25 () (+ @t3 (* -2 @t1))) % 0.16/0.37 (define @t26 () (>= @t25 0)) % 0.16/0.37 (define @t27 () (* -1 @t1)) % 0.16/0.37 (define @t28 () (* 2 @t2)) % 0.16/0.37 (define @t29 () (+ @t28 @t27)) % 0.16/0.37 (define @t30 () (>= @t29 1)) % 0.16/0.37 (define @t31 () (not @t30)) % 0.16/0.37 (define @t32 () (* -1 @t2)) % 0.16/0.37 (define @t33 () (* 2 @t3)) % 0.16/0.37 (define @t34 () (+ @t33 @t32)) % 0.16/0.37 (define @t35 () (>= @t34 1)) % 0.16/0.37 (define @t36 () (not @t35)) % 0.16/0.37 (define @t37 () (or @t36 @t31 @t26 @t24)) % 0.16/0.37 (define @t38 () (not @t26)) % 0.16/0.37 (define @t39 () (not @t38)) % 0.16/0.37 (define @t40 () (or @t36 @t31 @t39)) % 0.16/0.37 (define @t41 () (and @t35 @t30 @t38)) % 0.16/0.37 (define @t42 () (+ @t1 @t2 @t3)) % 0.16/0.37 (define @t43 () (* 2 @t1)) % 0.16/0.37 (define @t44 () (* -1 @t3)) % 0.16/0.37 (define @t45 () (+ @t44 @t43)) % 0.16/0.37 (define @t46 () (+ @t45 1)) % 0.16/0.37 (define @t47 () (>= 1 @t46)) % 0.16/0.37 (define @t48 () (forall @t20 @t37)) % 0.16/0.37 (define @t49 () (@quantifiers_skolemize @t48 1)) % 0.16/0.37 (define @t50 () (@quantifiers_skolemize @t48 0)) % 0.16/0.37 (define @t51 () (* 2 @t50)) % 0.16/0.37 (define @t52 () (+ @t51 (* -1 @t49))) % 0.16/0.37 (define @t53 () (>= @t52 1)) % 0.16/0.37 (define @t54 () (@quantifiers_skolemize @t48 2)) % 0.16/0.37 (define @t55 () (+ @t50 @t49 @t54)) % 0.16/0.37 (define @t56 () (>= @t55 2)) % 0.16/0.37 (define @t57 () (* -2 @t54)) % 0.16/0.37 (define @t58 () (+ @t50 @t57)) % 0.16/0.37 (define @t59 () (>= @t58 0)) % 0.16/0.37 (define @t60 () (+ (* 2 @t49) (* -1 @t54))) % 0.16/0.37 (define @t61 () (>= @t60 1)) % 0.16/0.37 (define @t62 () (not @t61)) % 0.16/0.37 (define @t63 () (not @t53)) % 0.16/0.37 (define @t64 () (or @t63 @t62 @t59 @t56)) % 0.16/0.37 (define @t65 () (@list true)) % 0.16/0.37 (define @t66 () (@list @t64)) % 0.16/0.37 (define @t67 () (not @t59)) % 0.16/0.37 (define @t68 () (not @t56)) % 0.16/0.37 (define @t69 () (< @t55 2)) % 0.16/0.37 (define @t70 () (* -1 1)) % 0.16/0.37 (define @t71 () (+ 2 @t70 @t70 0)) % 0.16/0.37 (define @t72 () (+ @t57 @t54 (* -2 @t49) @t49 (* -2 @t50) @t54 @t49 @t51)) % 0.16/0.37 (define @t73 () (+ @t55 (* -1 @t60) (* -1 @t52) @t58)) % 0.16/0.37 (define @t74 () (>= @t73 @t71)) % 0.16/0.37 (define @t75 () (and @t67 @t53 @t61 @t68)) % 0.16/0.37 (assume @p1 @t22) % 0.16/0.37 (assume @p2 true) % 0.16/0.37 (step @p3 :rule aci_norm :args ((= (or (or @t36 @t31 @t26) @t24) @t37))) % 0.16/0.37 (step @p4 :rule refl :args (@t24)) % 0.16/0.37 (step @p5 :rule bool-double-not-elim :args (@t26)) % 0.16/0.37 (step @p6 :rule refl :args (@t31)) % 0.16/0.37 (step @p7 :rule refl :args (@t36)) % 0.16/0.37 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args (@t40)) % 0.16/0.37 (step @p9 :rule aci_norm :args ((= (or @t36 (or @t31 @t39)) @t40))) % 0.16/0.37 (step @p10 :rule trans :premises (@p9 @p8)) % 0.16/0.37 (step @p11 :rule bool-and-de-morgan :args (@t30 @t38 true)) % 0.16/0.37 (step @p12 :rule nary_cong :premises (@p7 @p11) :args ((or @t36 (not (and @t30 @t38))))) % 0.16/0.37 (step @p13 :rule bool-and-de-morgan :args (@t35 @t30 (and @t38))) % 0.16/0.37 (step @p14 :rule trans :premises (@p13 @p12)) % 0.16/0.37 (step @p15 :rule trans :premises (@p14 @p10)) % 0.16/0.37 (step @p16 :rule nary_cong :premises (@p15 @p4) :args ((or (not @t41) @t24))) % 0.16/0.37 (step @p17 :rule trans :premises (@p16 @p3)) % 0.16/0.37 (step @p18 :rule bool-impl-elim :args (@t41 @t24)) % 0.16/0.37 (step @p19 :rule trans :premises (@p18 @p17)) % 0.16/0.37 (step @p20 :rule cong :premises (@p19) :args ((forall @t20 (=> @t41 @t24)))) % 0.16/0.37 (step @p21 :rule arith-elim-leq :args (2 @t23)) % 0.16/0.37 (step @p22 :rule arith_poly_norm :args ((= @t42 @t23))) % 0.16/0.37 (step @p23 :rule arith_poly_norm :args ((= @t4 @t42))) % 0.16/0.37 (step @p24 :rule trans :premises (@p23 @p22)) % 0.16/0.37 (step @p25 :rule refl :args (2)) % 0.16/0.37 (step @p26 :rule cong :premises (@p25 @p24) :args (@t5)) % 0.16/0.37 (step @p27 :rule trans :premises (@p26 @p21)) % 0.16/0.37 (step @p28 :rule arith_poly_norm :args ((= (* 1 (- 1 @t46)) (* 1 (- @t25 0))))) % 0.16/0.37 (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t47 @t26))) % 0.16/0.37 (step @p30 :rule cong :premises (@p29) :args ((not @t47))) % 0.16/0.37 (step @p31 :rule arith-leq-norm :args (1 @t45)) % 0.16/0.37 (step @p32 :rule trans :premises (@p31 @p30)) % 0.16/0.37 (step @p33 :rule arith_poly_norm :args ((= (+ @t43 @t44) @t45))) % 0.16/0.37 (step @p34 :rule arith_poly_norm :args ((= @t6 @t44))) % 0.16/0.37 (step @p35 :rule arith_poly_norm :args ((= @t7 @t43))) % 0.16/0.37 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t8)) % 0.16/0.37 (step @p37 :rule trans :premises (@p36 @p33)) % 0.16/0.37 (step @p38 :rule refl :args (1)) % 0.16/0.37 (step @p39 :rule cong :premises (@p38 @p37) :args (@t9)) % 0.16/0.37 (step @p40 :rule trans :premises (@p39 @p32)) % 0.16/0.37 (step @p41 :rule arith-elim-leq :args (1 @t29)) % 0.16/0.37 (step @p42 :rule arith_poly_norm :args ((= @t10 @t27))) % 0.16/0.37 (step @p43 :rule arith_poly_norm :args ((= @t11 @t28))) % 0.16/0.37 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t12)) % 0.16/0.37 (step @p45 :rule cong :premises (@p38 @p44) :args (@t13)) % 0.16/0.37 (step @p46 :rule trans :premises (@p45 @p41)) % 0.16/0.37 (step @p47 :rule arith-elim-leq :args (1 @t34)) % 0.16/0.37 (step @p48 :rule arith_poly_norm :args ((= @t14 @t32))) % 0.16/0.37 (step @p49 :rule arith_poly_norm :args ((= @t15 @t33))) % 0.16/0.37 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t16)) % 0.16/0.37 (step @p51 :rule cong :premises (@p38 @p50) :args (@t17)) % 0.16/0.37 (step @p52 :rule trans :premises (@p51 @p47)) % 0.16/0.37 (step @p53 :rule nary_cong :premises (@p52 @p46 @p40) :args (@t18)) % 0.16/0.37 (step @p54 :rule cong :premises (@p53 @p27) :args (@t19)) % 0.16/0.37 (step @p55 :rule cong :premises (@p54) :args (@t21)) % 0.16/0.37 (step @p56 :rule trans :premises (@p55 @p20)) % 0.16/0.37 (step @p57 :rule cong :premises (@p56) :args (@t22)) % 0.16/0.37 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.16/0.37 (step @p59 :rule skolemize :premises (@p58)) % 0.16/0.37 (step @p60 :rule bool-double-not-elim :args (@t53)) % 0.16/0.37 (step @p61 :rule refl :args (@t64)) % 0.16/0.37 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t64 (not @t63)))) % 0.16/0.37 (step @p63 :rule cnf_or_neg :args (@t64 0)) % 0.16/0.37 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.16/0.37 (step @p65 :rule reordering :premises (@p64) :args ((or @t53 @t64))) % 0.16/0.37 (step @p66 :rule chain_m_resolution :premises (@p65 @p59) :args (@t53 @t65 @t66)) % 0.16/0.37 (step @p67 :rule bool-double-not-elim :args (@t61)) % 0.16/0.37 (step @p68 :rule nary_cong :premises (@p61 @p67) :args ((or @t64 (not @t62)))) % 0.16/0.37 (step @p69 :rule cnf_or_neg :args (@t64 1)) % 0.16/0.37 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.16/0.37 (step @p71 :rule reordering :premises (@p70) :args ((or @t61 @t64))) % 0.16/0.37 (step @p72 :rule chain_m_resolution :premises (@p71 @p59) :args (@t61 @t65 @t66)) % 0.16/0.37 (step @p73 :rule cnf_or_neg :args (@t64 2)) % 0.16/0.37 (step @p74 :rule chain_m_resolution :premises (@p73 @p59) :args (@t67 @t65 @t66)) % 0.16/0.37 (step @p75 :rule cnf_or_neg :args (@t64 3)) % 0.16/0.37 (step @p76 :rule chain_m_resolution :premises (@p75 @p59) :args (@t68 @t65 @t66)) % 0.16/0.37 (step @p77 :rule bool-double-not-elim :args (@t56)) % 0.16/0.37 (step @p78 :rule bool-double-not-elim :args (@t59)) % 0.16/0.37 (step @p79 :rule refl :args (@t62)) % 0.16/0.37 (step @p80 :rule refl :args (@t63)) % 0.16/0.37 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77) :args ((or @t63 @t62 (not @t67) (not @t68)))) % 0.16/0.37 (assume-push @p149 @t67) % 0.16/0.37 (assume-push @p150 @t53) % 0.16/0.37 (assume-push @p151 @t61) % 0.16/0.37 (assume-push @p152 @t68) % 0.16/0.37 (step @p86 :rule arith-elim-lt :args (@t55 2)) % 0.16/0.37 (step @p87 :rule cong :premises (@p86) :args ((not @t69))) % 0.16/0.37 (step @p88 :rule trans :premises (@p87 @p77)) % 0.16/0.37 (step @p89 :rule symm :premises (@p88)) % 0.16/0.37 (assume-push @p153 @t69) % 0.16/0.37 (step @p91 :rule evaluate :args ((not true))) % 0.16/0.37 (step @p92 :rule evaluate :args ((>= 0 0))) % 0.16/0.37 (step @p93 :rule evaluate :args ((+ 2 -1 -1 0))) % 0.16/0.37 (step @p94 :rule refl :args (0)) % 0.16/0.37 (step @p95 :rule evaluate :args (@t70)) % 0.16/0.37 (step @p96 :rule nary_cong :premises (@p25 @p95 @p95 @p94) :args (@t71)) % 0.16/0.37 (step @p97 :rule trans :premises (@p96 @p93)) % 0.16/0.37 (step @p98 :rule arith_poly_norm :args ((= @t72 0))) % 0.16/0.37 (step @p99 :rule arith_poly_norm :args ((= @t73 @t72))) % 0.16/0.37 (step @p100 :rule trans :premises (@p99 @p98)) % 0.16/0.37 (step @p101 :rule cong :premises (@p100 @p97) :args (@t74)) % 0.16/0.37 (step @p102 :rule trans :premises (@p101 @p92)) % 0.16/0.37 (step @p103 :rule cong :premises (@p102) :args ((not @t74))) % 0.16/0.37 (step @p104 :rule trans :premises (@p103 @p91)) % 0.16/0.37 (step @p105 :rule arith-elim-lt :args (@t73 @t71)) % 0.16/0.37 (step @p106 :rule trans :premises (@p105 @p104)) % 0.16/0.37 (step @p107 :rule arith-elim-lt :args (@t58 0)) % 0.16/0.37 (step @p108 :rule symm :premises (@p107)) % 0.16/0.38 (step @p109 :rule eq_resolve :premises (@p74 @p108)) % 0.16/0.38 (step @p110 :rule arith_mult_neg :args (-1 @t53)) % 0.16/0.38 (step @p111 :rule evaluate :args ((< -1 0))) % 0.16/0.38 (step @p112 :rule true_elim :premises (@p111)) % 0.16/0.38 (step @p113 :rule and_intro :premises (@p112 @p66)) % 0.16/0.38 (step @p114 :rule modus_ponens :premises (@p113 @p110)) % 0.16/0.38 (step @p115 :rule arith_mult_neg :args (-1 @t61)) % 0.16/0.38 (step @p116 :rule and_intro :premises (@p112 @p72)) % 0.16/0.38 (step @p117 :rule modus_ponens :premises (@p116 @p115)) % 0.16/0.38 (step @p118 :rule symm :premises (@p86)) % 0.16/0.38 (step @p119 :rule chain_m_resolution :premises (@p75 @p59) :args (@t68 @t65 @t66)) % 0.16/0.38 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.16/0.38 (step @p121 :rule arith_sum_ub :premises (@p120 @p117 @p114 @p109)) % 0.16/0.38 (step @p122 false :rule eq_resolve :premises (@p121 @p106)) % 0.16/0.38 (step-pop @p154 :rule scope :premises (@p122)) % 0.16/0.38 (step @p123 :rule process_scope :premises (@p154) :args (false)) % 0.16/0.38 (step @p125 :rule eq_resolve :premises (@p123 @p88)) % 0.16/0.38 (step @p126 :rule eq_resolve :premises (@p125 @p89)) % 0.16/0.38 (step @p118 :rule symm :premises (@p86)) % 0.16/0.38 (step @p127 :rule eq_resolve :premises (@p76 @p118)) % 0.16/0.38 (step @p128 false :rule contra :premises (@p127 @p126)) % 0.16/0.38 (step-pop @p155 :rule scope :premises (@p128)) % 0.16/0.38 (step-pop @p156 :rule scope :premises (@p155)) % 0.16/0.38 (step-pop @p157 :rule scope :premises (@p156)) % 0.16/0.38 (step-pop @p158 :rule scope :premises (@p157)) % 0.16/0.38 (step @p129 :rule process_scope :premises (@p158) :args (false)) % 0.16/0.38 (assume-push @p159 @t53) % 0.16/0.38 (assume-push @p160 @t61) % 0.16/0.38 (assume-push @p161 @t67) % 0.16/0.38 (assume-push @p162 @t68) % 0.16/0.38 (step @p138 :rule and_intro :premises (@p74 @p66 @p72 @p76)) % 0.16/0.38 (step-pop @p163 :rule scope :premises (@p138)) % 0.16/0.38 (step-pop @p164 :rule scope :premises (@p163)) % 0.16/0.38 (step-pop @p165 :rule scope :premises (@p164)) % 0.16/0.38 (step-pop @p166 :rule scope :premises (@p165)) % 0.16/0.38 (step @p139 :rule process_scope :premises (@p166) :args (@t75)) % 0.16/0.38 (step @p144 :rule implies_elim :premises (@p139)) % 0.16/0.38 (step @p145 :rule resolution :premises (@p144 @p129) :args (true @t75)) % 0.16/0.38 (step @p146 :rule not_and :premises (@p145)) % 0.16/0.38 (step @p147 :rule eq_resolve :premises (@p146 @p81)) % 0.16/0.38 (step @p148 false :rule chain_m_resolution :premises (@p147 @p76 @p74 @p72 @p66) :args (false (@list true true false false) (@list @t56 @t59 @t61 @t53))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------