%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI586_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 : n029.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 08:07:55 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 : ARI586_1 : TPTP v9.2.1. Released v5.1.0. % 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 : n029.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 : Wed Jun 3 02:29:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.48 %----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 (define @t1 () (@var "X" Int)) % 0.37/0.56 (define @t2 () (* @t1 3)) % 0.37/0.56 (define @t3 () (@var "Y" Int)) % 0.37/0.56 (define @t4 () (and (< @t1 @t3) (< @t3 @t2))) % 0.37/0.56 (define @t5 () (@list @t3)) % 0.37/0.56 (define @t6 () (exists @t5 @t4)) % 0.37/0.56 (define @t7 () (=> (< 0 @t1) @t6)) % 0.37/0.56 (define @t8 () (@list @t1)) % 0.37/0.56 (define @t9 () (forall @t8 @t7)) % 0.37/0.56 (define @t10 () (not @t9)) % 0.37/0.56 (define @t11 () (>= @t1 1)) % 0.37/0.56 (define @t12 () (* -1 @t3)) % 0.37/0.56 (define @t13 () (* 3 @t1)) % 0.37/0.56 (define @t14 () (+ @t13 @t12)) % 0.37/0.56 (define @t15 () (>= @t14 1)) % 0.37/0.56 (define @t16 () (not @t15)) % 0.37/0.56 (define @t17 () (+ @t1 @t12)) % 0.37/0.56 (define @t18 () (>= @t17 0)) % 0.37/0.56 (define @t19 () (not (forall @t5 (or @t18 @t16)))) % 0.37/0.56 (define @t20 () (not @t18)) % 0.37/0.56 (define @t21 () (and @t20 @t15)) % 0.37/0.56 (define @t22 () (forall @t5 (not @t21))) % 0.37/0.56 (define @t23 () (not @t22)) % 0.37/0.56 (define @t24 () (+ @t14 1)) % 0.37/0.56 (define @t25 () (>= @t3 @t2)) % 0.37/0.56 (define @t26 () (>= @t1 @t3)) % 0.37/0.56 (define @t27 () (+ @t1 1)) % 0.37/0.56 (define @t28 () (>= 0 @t1)) % 0.37/0.56 (define @t29 () (forall @t8 (or (not @t11) @t19))) % 0.37/0.56 (define @t30 () (@quantifiers_skolemize @t29 0)) % 0.37/0.56 (define @t31 () (* -3 @t30)) % 0.37/0.56 (define @t32 () (+ @t3 @t31)) % 0.37/0.56 (define @t33 () (>= @t32 0)) % 0.37/0.56 (define @t34 () (* -1 @t30)) % 0.37/0.56 (define @t35 () (+ @t3 @t34)) % 0.37/0.56 (define @t36 () (forall @t5 (or (not (>= @t35 1)) @t33))) % 0.37/0.56 (define @t37 () (not @t36)) % 0.37/0.56 (define @t38 () (>= @t30 1)) % 0.37/0.56 (define @t39 () (not @t38)) % 0.37/0.56 (define @t40 () (or @t39 @t37)) % 0.37/0.56 (define @t41 () (not @t40)) % 0.37/0.56 (define @t42 () (not @t29)) % 0.37/0.56 (define @t43 () (* 3 @t30)) % 0.37/0.56 (define @t44 () (+ @t12 @t43)) % 0.37/0.56 (define @t45 () (+ @t32 1)) % 0.37/0.56 (define @t46 () (+ @t43 @t12)) % 0.37/0.56 (define @t47 () (>= @t46 1)) % 0.37/0.56 (define @t48 () (not @t47)) % 0.37/0.56 (define @t49 () (+ @t12 @t30)) % 0.37/0.56 (define @t50 () (+ @t35 1)) % 0.37/0.56 (define @t51 () (+ @t30 @t12)) % 0.37/0.56 (define @t52 () (>= @t51 0)) % 0.37/0.56 (define @t53 () (or @t52 @t48)) % 0.37/0.56 (define @t54 () (forall @t5 @t53)) % 0.37/0.56 (define @t55 () (not @t54)) % 0.37/0.56 (define @t56 () (or @t39 @t55)) % 0.37/0.56 (define @t57 () (not @t56)) % 0.37/0.56 (define @t58 () (@list true)) % 0.37/0.56 (define @t59 () (@list @t40)) % 0.37/0.56 (define @t60 () (+ @t31 @t43 -1)) % 0.37/0.56 (define @t61 () (+ -1 @t43)) % 0.37/0.56 (define @t62 () (+ @t61 @t31)) % 0.37/0.56 (define @t63 () (>= @t62 0)) % 0.37/0.56 (define @t64 () (+ -1 (* 2 @t30))) % 0.37/0.56 (define @t65 () (+ @t34 @t43 -1)) % 0.37/0.56 (define @t66 () (+ @t61 @t34)) % 0.37/0.56 (define @t67 () (>= @t66 1)) % 0.37/0.56 (define @t68 () (not @t67)) % 0.37/0.56 (define @t69 () (or @t68 @t63)) % 0.37/0.56 (assume @p1 @t10) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule bool-impl-elim :args (@t11 @t19)) % 0.37/0.56 (step @p4 :rule cong :premises (@p3) :args ((forall @t8 (=> @t11 @t19)))) % 0.37/0.56 (step @p5 :rule refl :args (@t16)) % 0.37/0.56 (step @p6 :rule bool-double-not-elim :args (@t18)) % 0.37/0.56 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or (not @t20) @t16))) % 0.37/0.56 (step @p8 :rule bool-and-de-morgan :args (@t20 @t15 true)) % 0.37/0.56 (step @p9 :rule trans :premises (@p8 @p7)) % 0.37/0.56 (step @p10 :rule cong :premises (@p9) :args (@t22)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10) :args (@t23)) % 0.37/0.56 (step @p12 :rule exists-elim :args ((= (exists @t5 @t21) @t23))) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.56 (step @p14 :rule bool-double-not-elim :args (@t15)) % 0.37/0.56 (step @p15 :rule arith_poly_norm :args ((= (* -3 (- 1 @t24)) (* -3 (- @t3 @t13))))) % 0.37/0.56 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (>= 1 @t24) (>= @t3 @t13)))) % 0.37/0.56 (step @p17 :rule arith-geq-tighten :args (@t14 1)) % 0.37/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.37/0.56 (step @p19 :rule symm :premises (@p18)) % 0.37/0.56 (step @p20 :rule arith_poly_norm :args ((= @t2 @t13))) % 0.37/0.56 (step @p21 :rule refl :args (@t3)) % 0.37/0.56 (step @p22 :rule cong :premises (@p21 @p20) :args (@t25)) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p19)) % 0.37/0.56 (step @p24 :rule cong :premises (@p23) :args ((not @t25))) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p14)) % 0.37/0.56 (step @p26 :rule arith-elim-lt :args (@t3 @t2)) % 0.37/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.37/0.56 (step @p28 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t3)) (* 1 (- @t17 0))))) % 0.37/0.56 (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t26 @t18))) % 0.37/0.56 (step @p30 :rule cong :premises (@p29) :args ((not @t26))) % 0.37/0.56 (step @p31 :rule arith-elim-lt :args (@t1 @t3)) % 0.37/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.56 (step @p33 :rule nary_cong :premises (@p32 @p27) :args (@t4)) % 0.37/0.56 (step @p34 :rule cong :premises (@p33) :args (@t6)) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p13)) % 0.37/0.56 (step @p36 :rule bool-double-not-elim :args (@t11)) % 0.37/0.56 (step @p37 :rule arith_poly_norm :args ((= (* -1 (- 1 @t27)) (* -1 (- 0 @t1))))) % 0.37/0.56 (step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= 1 @t27) @t28))) % 0.37/0.56 (step @p39 :rule arith-geq-tighten :args (@t1 1)) % 0.37/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.56 (step @p41 :rule symm :premises (@p40)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41) :args ((not @t28))) % 0.37/0.56 (step @p43 :rule trans :premises (@p42 @p36)) % 0.37/0.56 (step @p44 :rule arith-elim-lt :args (0 @t1)) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.56 (step @p46 :rule cong :premises (@p45 @p35) :args (@t7)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46) :args (@t9)) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p4)) % 0.37/0.56 (step @p49 :rule cong :premises (@p48) :args (@t10)) % 0.37/0.56 (step @p50 :rule eq_resolve :premises (@p1 @p49)) % 0.37/0.56 (step @p51 :rule refl :args (@t41)) % 0.37/0.56 (step @p52 :rule bool-double-not-elim :args (@t29)) % 0.37/0.56 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t42) @t41))) % 0.37/0.56 (step @p54 :rule bool-double-not-elim :args (@t33)) % 0.37/0.56 (step @p55 :rule arith_poly_norm :args ((= (* -1 (- 0 @t45)) (* -1 (- @t44 1))))) % 0.37/0.56 (step @p56 :rule arith_poly_norm_rel :premises (@p55) :args ((= (>= 0 @t45) (>= @t44 1)))) % 0.37/0.56 (step @p57 :rule arith-geq-tighten :args (@t32 0)) % 0.37/0.56 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.56 (step @p59 :rule symm :premises (@p58)) % 0.37/0.56 (step @p60 :rule refl :args (1)) % 0.37/0.56 (step @p61 :rule arith_poly_norm :args ((= @t46 @t44))) % 0.37/0.56 (step @p62 :rule cong :premises (@p61 @p60) :args (@t47)) % 0.37/0.56 (step @p63 :rule trans :premises (@p62 @p59)) % 0.37/0.56 (step @p64 :rule cong :premises (@p63) :args (@t48)) % 0.37/0.56 (step @p65 :rule trans :premises (@p64 @p54)) % 0.37/0.56 (step @p66 :rule arith_poly_norm :args ((= (* -1 (- 1 @t50)) (* -1 (- @t49 0))))) % 0.37/0.56 (step @p67 :rule arith_poly_norm_rel :premises (@p66) :args ((= (>= 1 @t50) (>= @t49 0)))) % 0.37/0.56 (step @p68 :rule arith-geq-tighten :args (@t35 1)) % 0.37/0.56 (step @p69 :rule trans :premises (@p68 @p67)) % 0.37/0.56 (step @p70 :rule symm :premises (@p69)) % 0.37/0.56 (step @p71 :rule refl :args (0)) % 0.37/0.56 (step @p72 :rule arith_poly_norm :args ((= @t51 @t49))) % 0.37/0.56 (step @p73 :rule cong :premises (@p72 @p71) :args (@t52)) % 0.37/0.56 (step @p74 :rule trans :premises (@p73 @p70)) % 0.37/0.56 (step @p75 :rule nary_cong :premises (@p74 @p65) :args (@t53)) % 0.37/0.56 (step @p76 :rule cong :premises (@p75) :args (@t54)) % 0.37/0.56 (step @p77 :rule cong :premises (@p76) :args (@t55)) % 0.37/0.56 (step @p78 :rule refl :args (@t39)) % 0.37/0.56 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t56)) % 0.37/0.56 (step @p80 :rule cong :premises (@p79) :args (@t57)) % 0.37/0.56 (step @p81 :rule refl :args (@t42)) % 0.37/0.56 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t42 @t57))) % 0.37/0.56 (assume-push @p131 @t42) % 0.37/0.56 (step @p84 :rule skolemize :premises (@p50)) % 0.37/0.56 (step-pop @p132 :rule scope :premises (@p84)) % 0.37/0.56 (step @p85 :rule process_scope :premises (@p132) :args (@t57)) % 0.37/0.56 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 0.37/0.56 (step @p88 :rule implies_elim :premises (@p87)) % 0.37/0.56 (step @p89 :rule eq_resolve :premises (@p88 @p53)) % 0.37/0.56 (step @p90 :rule chain_m_resolution :premises (@p89 @p50) :args (@t41 @t58 (@list @t29))) % 0.37/0.56 (step @p91 :rule bool-double-not-elim :args (@t38)) % 0.37/0.56 (step @p92 :rule refl :args (@t40)) % 0.37/0.56 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t40 (not @t39)))) % 0.37/0.56 (step @p94 :rule cnf_or_neg :args (@t40 0)) % 0.37/0.56 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.37/0.56 (step @p96 :rule reordering :premises (@p95) :args ((or @t38 @t40))) % 0.37/0.56 (step @p97 :rule chain_m_resolution :premises (@p96 @p90) :args (@t38 @t58 @t59)) % 0.37/0.56 (step @p98 :rule bool-double-not-elim :args (@t36)) % 0.37/0.56 (step @p99 :rule nary_cong :premises (@p92 @p98) :args ((or @t40 (not @t37)))) % 0.37/0.56 (step @p100 :rule cnf_or_neg :args (@t40 1)) % 0.37/0.56 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.37/0.56 (step @p102 :rule reordering :premises (@p101) :args ((or @t36 @t40))) % 0.37/0.56 (step @p103 :rule chain_m_resolution :premises (@p102 @p90) :args (@t36 @t58 @t59)) % 0.37/0.56 (step @p104 :rule aci_norm :args ((= (or @t39 false) @t39))) % 0.37/0.56 (step @p105 :rule evaluate :args ((>= -1 0))) % 0.37/0.56 (step @p106 :rule arith_poly_norm :args ((= @t60 -1))) % 0.37/0.56 (step @p107 :rule arith_poly_norm :args ((= @t62 @t60))) % 0.37/0.56 (step @p108 :rule trans :premises (@p107 @p106)) % 0.37/0.56 (step @p109 :rule cong :premises (@p108 @p71) :args (@t63)) % 0.37/0.56 (step @p110 :rule trans :premises (@p109 @p105)) % 0.37/0.56 (step @p111 :rule arith_poly_norm :args ((= (* -1 (- @t64 1)) (* -2 (- @t30 1))))) % 0.37/0.56 (step @p112 :rule arith_poly_norm_rel :premises (@p111) :args ((= (>= @t64 1) @t38))) % 0.37/0.56 (step @p113 :rule arith_poly_norm :args ((= @t65 @t64))) % 0.37/0.56 (step @p114 :rule arith_poly_norm :args ((= @t66 @t65))) % 0.37/0.56 (step @p115 :rule trans :premises (@p114 @p113)) % 0.37/0.56 (step @p116 :rule cong :premises (@p115 @p60) :args (@t67)) % 0.37/0.56 (step @p117 :rule trans :premises (@p116 @p112)) % 0.37/0.56 (step @p118 :rule cong :premises (@p117) :args (@t68)) % 0.37/0.56 (step @p119 :rule nary_cong :premises (@p118 @p110) :args (@t69)) % 0.37/0.56 (step @p120 :rule trans :premises (@p119 @p104)) % 0.37/0.56 (step @p121 :rule refl :args (@t36)) % 0.37/0.56 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t36 @t69))) % 0.37/0.56 (assume-push @p133 @t36) % 0.37/0.56 (step @p124 :rule instantiate :premises (@p103) :args ((@list @t61))) % 0.37/0.56 (step-pop @p134 :rule scope :premises (@p124)) % 0.37/0.56 (step @p125 :rule process_scope :premises (@p134) :args (@t69)) % 0.37/0.56 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 0.37/0.56 (step @p128 :rule implies_elim :premises (@p127)) % 0.37/0.56 (step @p129 :rule reordering :premises (@p128) :args (@t40)) % 0.37/0.56 (step @p130 false :rule chain_m_resolution :premises (@p129 @p103 @p97) :args (false (@list false false) (@list @t36 @t38))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------