%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM919_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 : n009.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 08:40:59 AM UTC 2026 % Result : Theorem 0.42s 0.58s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM919_1 : TPTP v9.2.1. Released v5.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n009.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 : Tue Jun 2 12:31:44 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_ARI % 0.42/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.58 % SZS status Theorem % 0.42/0.58 % SZS output start Proof % 0.42/0.58 ( % 0.42/0.58 (define @t1 () (@var "U" Int)) % 0.42/0.58 (define @t2 () (@var "W" Int)) % 0.42/0.58 (define @t3 () (@var "V" Int)) % 0.42/0.58 (define @t4 () (and (< @t3 @t2) (< @t2 @t1))) % 0.42/0.58 (define @t5 () (@list @t2)) % 0.42/0.58 (define @t6 () (exists @t5 @t4)) % 0.42/0.58 (define @t7 () (not @t6)) % 0.42/0.58 (define @t8 () (and (< @t3 @t1) @t7)) % 0.42/0.58 (define @t9 () (@list @t3)) % 0.42/0.58 (define @t10 () (exists @t9 @t8)) % 0.42/0.58 (define @t11 () (@list @t1)) % 0.42/0.58 (define @t12 () (forall @t11 @t10)) % 0.42/0.58 (define @t13 () (not @t12)) % 0.42/0.58 (define @t14 () (* -1 @t3)) % 0.42/0.58 (define @t15 () (+ @t1 @t14)) % 0.42/0.58 (define @t16 () (>= @t15 1)) % 0.42/0.58 (define @t17 () (* -1 @t2)) % 0.42/0.58 (define @t18 () (+ @t1 @t17)) % 0.42/0.58 (define @t19 () (>= @t18 1)) % 0.42/0.58 (define @t20 () (not @t19)) % 0.42/0.58 (define @t21 () (+ @t3 @t17)) % 0.42/0.58 (define @t22 () (>= @t21 0)) % 0.42/0.58 (define @t23 () (forall @t5 (or @t22 @t20))) % 0.42/0.58 (define @t24 () (and @t16 @t23)) % 0.42/0.58 (define @t25 () (forall @t9 (not @t24))) % 0.42/0.58 (define @t26 () (not @t25)) % 0.42/0.58 (define @t27 () (not @t22)) % 0.42/0.58 (define @t28 () (and @t27 @t19)) % 0.42/0.58 (define @t29 () (forall @t5 (not @t28))) % 0.42/0.58 (define @t30 () (not @t29)) % 0.42/0.58 (define @t31 () (+ @t18 1)) % 0.42/0.58 (define @t32 () (>= @t2 @t1)) % 0.42/0.58 (define @t33 () (>= @t3 @t2)) % 0.42/0.58 (define @t34 () (+ @t15 1)) % 0.42/0.58 (define @t35 () (>= @t3 @t1)) % 0.42/0.58 (define @t36 () (forall @t11 (not (forall @t9 (or (not @t16) (not @t23)))))) % 0.42/0.58 (define @t37 () (@quantifiers_skolemize @t36 0)) % 0.42/0.58 (define @t38 () (* -1 @t37)) % 0.42/0.58 (define @t39 () (+ @t2 @t38)) % 0.42/0.58 (define @t40 () (>= @t39 0)) % 0.42/0.58 (define @t41 () (+ @t3 @t38)) % 0.42/0.58 (define @t42 () (>= @t41 0)) % 0.42/0.58 (define @t43 () (forall @t9 (or @t42 (not (forall @t5 (or @t22 @t40)))))) % 0.42/0.58 (define @t44 () (not @t36)) % 0.42/0.58 (define @t45 () (+ @t17 @t37)) % 0.42/0.58 (define @t46 () (+ @t39 1)) % 0.42/0.58 (define @t47 () (* -1 (- 0 @t46))) % 0.42/0.58 (define @t48 () (>= 0 @t46)) % 0.42/0.58 (define @t49 () (+ @t37 @t17)) % 0.42/0.58 (define @t50 () (>= @t49 1)) % 0.42/0.58 (define @t51 () (not @t50)) % 0.42/0.58 (define @t52 () (or @t22 @t51)) % 0.42/0.58 (define @t53 () (forall @t5 @t52)) % 0.42/0.58 (define @t54 () (not @t53)) % 0.42/0.58 (define @t55 () (+ @t14 @t37)) % 0.42/0.58 (define @t56 () (+ @t41 1)) % 0.42/0.58 (define @t57 () (+ @t37 @t14)) % 0.42/0.58 (define @t58 () (>= @t57 1)) % 0.42/0.58 (define @t59 () (not @t58)) % 0.42/0.58 (define @t60 () (or @t59 @t54)) % 0.42/0.58 (define @t61 () (forall @t9 @t60)) % 0.42/0.58 (define @t62 () (not (not @t61))) % 0.42/0.58 (define @t63 () (+ -1 @t17 @t37)) % 0.42/0.58 (define @t64 () (+ @t37 @t17 -1)) % 0.42/0.58 (define @t65 () (+ -1 @t37)) % 0.42/0.58 (define @t66 () (+ @t65 @t17)) % 0.42/0.58 (define @t67 () (>= @t66 0)) % 0.42/0.58 (define @t68 () (or @t67 @t40)) % 0.42/0.58 (define @t69 () (forall @t5 @t68)) % 0.42/0.58 (define @t70 () (not @t69)) % 0.42/0.58 (define @t71 () (+ @t38 @t37 -1)) % 0.42/0.58 (define @t72 () (+ @t65 @t38)) % 0.42/0.58 (define @t73 () (>= @t72 0)) % 0.42/0.58 (define @t74 () (or @t73 @t70)) % 0.42/0.58 (assume @p1 @t13) % 0.42/0.58 (assume @p2 true) % 0.42/0.58 (step @p3 :rule bool-and-de-morgan :args (@t16 @t23 true)) % 0.42/0.58 (step @p4 :rule cong :premises (@p3) :args (@t25)) % 0.42/0.58 (step @p5 :rule cong :premises (@p4) :args (@t26)) % 0.42/0.58 (step @p6 :rule exists-elim :args ((= (exists @t9 @t24) @t26))) % 0.42/0.58 (step @p7 :rule trans :premises (@p6 @p5)) % 0.42/0.58 (step @p8 :rule bool-double-not-elim :args (@t23)) % 0.42/0.58 (step @p9 :rule refl :args (@t20)) % 0.42/0.58 (step @p10 :rule bool-double-not-elim :args (@t22)) % 0.42/0.58 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or (not @t27) @t20))) % 0.42/0.58 (step @p12 :rule bool-and-de-morgan :args (@t27 @t19 true)) % 0.42/0.58 (step @p13 :rule trans :premises (@p12 @p11)) % 0.42/0.58 (step @p14 :rule cong :premises (@p13) :args (@t29)) % 0.42/0.58 (step @p15 :rule cong :premises (@p14) :args (@t30)) % 0.42/0.58 (step @p16 :rule exists-elim :args ((= (exists @t5 @t28) @t30))) % 0.42/0.58 (step @p17 :rule trans :premises (@p16 @p15)) % 0.42/0.58 (step @p18 :rule bool-double-not-elim :args (@t19)) % 0.42/0.58 (step @p19 :rule arith_poly_norm :args ((= (* -1 (- 1 @t31)) (* -1 (- @t2 @t1))))) % 0.42/0.58 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= 1 @t31) @t32))) % 0.42/0.58 (step @p21 :rule arith-geq-tighten :args (@t18 1)) % 0.42/0.58 (step @p22 :rule trans :premises (@p21 @p20)) % 0.42/0.58 (step @p23 :rule symm :premises (@p22)) % 0.42/0.58 (step @p24 :rule cong :premises (@p23) :args ((not @t32))) % 0.42/0.58 (step @p25 :rule trans :premises (@p24 @p18)) % 0.42/0.58 (step @p26 :rule arith-elim-lt :args (@t2 @t1)) % 0.42/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.42/0.58 (step @p28 :rule arith_poly_norm :args ((= (* 1 (- @t3 @t2)) (* 1 (- @t21 0))))) % 0.42/0.58 (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t33 @t22))) % 0.42/0.58 (step @p30 :rule cong :premises (@p29) :args ((not @t33))) % 0.42/0.58 (step @p31 :rule arith-elim-lt :args (@t3 @t2)) % 0.42/0.58 (step @p32 :rule trans :premises (@p31 @p30)) % 0.42/0.58 (step @p33 :rule nary_cong :premises (@p32 @p27) :args (@t4)) % 0.42/0.58 (step @p34 :rule cong :premises (@p33) :args (@t6)) % 0.42/0.58 (step @p35 :rule trans :premises (@p34 @p17)) % 0.42/0.58 (step @p36 :rule cong :premises (@p35) :args (@t7)) % 0.42/0.58 (step @p37 :rule trans :premises (@p36 @p8)) % 0.42/0.58 (step @p38 :rule bool-double-not-elim :args (@t16)) % 0.42/0.58 (step @p39 :rule arith_poly_norm :args ((= (* -1 (- 1 @t34)) (* -1 (- @t3 @t1))))) % 0.42/0.58 (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= (>= 1 @t34) @t35))) % 0.42/0.58 (step @p41 :rule arith-geq-tighten :args (@t15 1)) % 0.42/0.58 (step @p42 :rule trans :premises (@p41 @p40)) % 0.42/0.58 (step @p43 :rule symm :premises (@p42)) % 0.42/0.58 (step @p44 :rule cong :premises (@p43) :args ((not @t35))) % 0.42/0.58 (step @p45 :rule trans :premises (@p44 @p38)) % 0.42/0.58 (step @p46 :rule arith-elim-lt :args (@t3 @t1)) % 0.42/0.58 (step @p47 :rule trans :premises (@p46 @p45)) % 0.42/0.58 (step @p48 :rule nary_cong :premises (@p47 @p37) :args (@t8)) % 0.42/0.58 (step @p49 :rule cong :premises (@p48) :args (@t10)) % 0.42/0.58 (step @p50 :rule trans :premises (@p49 @p7)) % 0.42/0.58 (step @p51 :rule cong :premises (@p50) :args (@t12)) % 0.42/0.58 (step @p52 :rule cong :premises (@p51) :args (@t13)) % 0.42/0.58 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.42/0.58 (step @p54 :rule refl :args (@t43)) % 0.42/0.58 (step @p55 :rule bool-double-not-elim :args (@t36)) % 0.42/0.58 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t44) @t43))) % 0.42/0.58 (step @p57 :rule bool-double-not-elim :args (@t40)) % 0.42/0.58 (step @p58 :rule arith_poly_norm :args ((= @t47 (* -1 (- @t45 1))))) % 0.42/0.58 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= @t48 (>= @t45 1)))) % 0.42/0.58 (step @p60 :rule arith-geq-tighten :args (@t39 0)) % 0.42/0.58 (step @p61 :rule trans :premises (@p60 @p59)) % 0.42/0.58 (step @p62 :rule symm :premises (@p61)) % 0.42/0.58 (step @p63 :rule refl :args (1)) % 0.42/0.58 (step @p64 :rule arith_poly_norm :args ((= @t49 @t45))) % 0.42/0.58 (step @p65 :rule cong :premises (@p64 @p63) :args (@t50)) % 0.42/0.58 (step @p66 :rule trans :premises (@p65 @p62)) % 0.42/0.58 (step @p67 :rule cong :premises (@p66) :args (@t51)) % 0.42/0.58 (step @p68 :rule trans :premises (@p67 @p57)) % 0.42/0.58 (step @p69 :rule refl :args (@t22)) % 0.42/0.58 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t52)) % 0.42/0.58 (step @p71 :rule cong :premises (@p70) :args (@t53)) % 0.42/0.58 (step @p72 :rule cong :premises (@p71) :args (@t54)) % 0.42/0.58 (step @p73 :rule bool-double-not-elim :args (@t42)) % 0.42/0.58 (step @p74 :rule arith_poly_norm :args ((= (* -1 (- 0 @t56)) (* -1 (- @t55 1))))) % 0.42/0.58 (step @p75 :rule arith_poly_norm_rel :premises (@p74) :args ((= (>= 0 @t56) (>= @t55 1)))) % 0.42/0.58 (step @p76 :rule arith-geq-tighten :args (@t41 0)) % 0.42/0.58 (step @p77 :rule trans :premises (@p76 @p75)) % 0.42/0.58 (step @p78 :rule symm :premises (@p77)) % 0.42/0.58 (step @p79 :rule arith_poly_norm :args ((= @t57 @t55))) % 0.42/0.58 (step @p80 :rule cong :premises (@p79 @p63) :args (@t58)) % 0.42/0.58 (step @p81 :rule trans :premises (@p80 @p78)) % 0.42/0.58 (step @p82 :rule cong :premises (@p81) :args (@t59)) % 0.42/0.58 (step @p83 :rule trans :premises (@p82 @p73)) % 0.42/0.58 (step @p84 :rule nary_cong :premises (@p83 @p72) :args (@t60)) % 0.42/0.58 (step @p85 :rule cong :premises (@p84) :args (@t61)) % 0.42/0.58 (step @p86 :rule bool-double-not-elim :args (@t61)) % 0.42/0.58 (step @p87 :rule trans :premises (@p86 @p85)) % 0.42/0.59 (step @p88 :rule refl :args (@t44)) % 0.42/0.59 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t44 @t62))) % 0.42/0.59 (assume-push @p137 @t44) % 0.42/0.59 (step @p91 :rule skolemize :premises (@p53)) % 0.42/0.59 (step-pop @p138 :rule scope :premises (@p91)) % 0.42/0.59 (step @p92 :rule process_scope :premises (@p138) :args (@t62)) % 0.42/0.59 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 0.42/0.59 (step @p95 :rule implies_elim :premises (@p94)) % 0.42/0.59 (step @p96 :rule eq_resolve :premises (@p95 @p56)) % 0.42/0.59 (step @p97 :rule chain_m_resolution :premises (@p96 @p53) :args (@t43 (@list true) (@list @t36))) % 0.42/0.59 (step @p98 :rule bool-impl-false1 :args (@t43)) % 0.42/0.59 (step @p99 :rule evaluate :args ((or false false))) % 0.42/0.59 (step @p100 :rule evaluate :args ((not true))) % 0.42/0.59 (step @p101 :rule quant-unused-vars :args ((= (forall @t5 true) true))) % 0.42/0.59 (step @p102 :rule bool-or-taut2 :args (false @t40 false false)) % 0.42/0.59 (step @p103 :rule cong :premises (@p102) :args ((forall @t5 (or (not @t40) @t40)))) % 0.42/0.59 (step @p104 :rule trans :premises (@p103 @p101)) % 0.42/0.59 (step @p105 :rule refl :args (@t40)) % 0.42/0.59 (step @p106 :rule arith_poly_norm :args ((= @t47 (* -1 (- @t63 0))))) % 0.42/0.59 (step @p107 :rule arith_poly_norm_rel :premises (@p106) :args ((= @t48 (>= @t63 0)))) % 0.42/0.59 (step @p108 :rule trans :premises (@p60 @p107)) % 0.42/0.59 (step @p109 :rule symm :premises (@p108)) % 0.42/0.59 (step @p110 :rule refl :args (0)) % 0.42/0.59 (step @p111 :rule arith_poly_norm :args ((= @t64 @t63))) % 0.42/0.59 (step @p112 :rule arith_poly_norm :args ((= @t66 @t64))) % 0.42/0.59 (step @p113 :rule trans :premises (@p112 @p111)) % 0.42/0.59 (step @p114 :rule cong :premises (@p113 @p110) :args (@t67)) % 0.42/0.59 (step @p115 :rule trans :premises (@p114 @p109)) % 0.42/0.59 (step @p116 :rule nary_cong :premises (@p115 @p105) :args (@t68)) % 0.42/0.59 (step @p117 :rule cong :premises (@p116) :args (@t69)) % 0.42/0.59 (step @p118 :rule trans :premises (@p117 @p104)) % 0.42/0.59 (step @p119 :rule cong :premises (@p118) :args (@t70)) % 0.42/0.59 (step @p120 :rule trans :premises (@p119 @p100)) % 0.42/0.59 (step @p121 :rule evaluate :args ((>= -1 0))) % 0.42/0.59 (step @p122 :rule arith_poly_norm :args ((= @t71 -1))) % 0.42/0.59 (step @p123 :rule arith_poly_norm :args ((= @t72 @t71))) % 0.42/0.59 (step @p124 :rule trans :premises (@p123 @p122)) % 0.42/0.59 (step @p125 :rule cong :premises (@p124 @p110) :args (@t73)) % 0.42/0.59 (step @p126 :rule trans :premises (@p125 @p121)) % 0.42/0.59 (step @p127 :rule nary_cong :premises (@p126 @p120) :args (@t74)) % 0.42/0.59 (step @p128 :rule trans :premises (@p127 @p99)) % 0.42/0.59 (step @p129 :rule cong :premises (@p54 @p128) :args ((=> @t43 @t74))) % 0.42/0.59 (step @p130 :rule trans :premises (@p129 @p98)) % 0.42/0.59 (assume-push @p139 @t43) % 0.42/0.59 (step @p132 :rule instantiate :premises (@p97) :args ((@list @t65))) % 0.42/0.59 (step-pop @p140 :rule scope :premises (@p132)) % 0.42/0.59 (step @p133 :rule process_scope :premises (@p140) :args (@t74)) % 0.42/0.59 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 0.42/0.59 (step @p136 false :rule chain_m_resolution :premises (@p135 @p97) :args (false (@list false) (@list @t43))) % 0.42/0.59 ) % 0.42/0.59 % SZS output end Proof % 0.42/0.59 % cvc5 exiting %------------------------------------------------------------------------------