%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI608_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 : n016.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 08:07:58 AM UTC 2026 % Result : Theorem 45.40s 45.63s % Output : Proof 45.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI608_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n016.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Wed Jun 3 02:30:24 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 45.40/45.63 --- Run --finite-model-find --decision=internal at 45... % 45.40/45.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.40/45.63 % SZS status Theorem % 45.40/45.63 % SZS output start Proof % 45.40/45.63 ( % 45.40/45.63 (declare-const tptp.b Int) % 45.40/45.63 (declare-const tptp.a Int) % 45.40/45.63 (declare-const tptp.f (-> Int Int)) % 45.40/45.63 (declare-const tptp.c Int) % 45.40/45.63 (define @t1 () (tptp.f tptp.c)) % 45.40/45.63 (define @t2 () (tptp.f tptp.a)) % 45.40/45.63 (define @t3 () (@var "Y" Int)) % 45.40/45.63 (define @t4 () (tptp.f @t3)) % 45.40/45.63 (define @t5 () (@var "X" Int)) % 45.40/45.63 (define @t6 () (tptp.f @t5)) % 45.40/45.63 (define @t7 () (=> (<= @t5 @t3) (<= @t6 @t4))) % 45.40/45.63 (define @t8 () (@list @t5 @t3)) % 45.40/45.63 (define @t9 () (forall @t8 @t7)) % 45.40/45.63 (define @t10 () (and @t9 (<= tptp.a tptp.b) (< tptp.b tptp.c))) % 45.40/45.63 (define @t11 () (=> @t10 (<= @t2 @t1))) % 45.40/45.63 (define @t12 () (not @t11)) % 45.40/45.63 (define @t13 () (+ @t2 (* -1 @t1))) % 45.40/45.63 (define @t14 () (+ @t1 1)) % 45.40/45.63 (define @t15 () (>= @t13 1)) % 45.40/45.63 (define @t16 () (>= @t2 @t14)) % 45.40/45.63 (define @t17 () (* -1 tptp.c)) % 45.40/45.63 (define @t18 () (+ tptp.b @t17)) % 45.40/45.63 (define @t19 () (>= @t18 0)) % 45.40/45.63 (define @t20 () (>= tptp.b tptp.c)) % 45.40/45.63 (define @t21 () (* -1 tptp.b)) % 45.40/45.63 (define @t22 () (+ tptp.a @t21)) % 45.40/45.63 (define @t23 () (+ tptp.b 1)) % 45.40/45.63 (define @t24 () (>= @t22 1)) % 45.40/45.63 (define @t25 () (>= tptp.a @t23)) % 45.40/45.63 (define @t26 () (+ @t6 (* -1 @t4))) % 45.40/45.63 (define @t27 () (>= @t26 1)) % 45.40/45.63 (define @t28 () (not @t27)) % 45.40/45.63 (define @t29 () (+ @t5 (* -1 @t3))) % 45.40/45.63 (define @t30 () (>= @t29 1)) % 45.40/45.63 (define @t31 () (not @t30)) % 45.40/45.63 (define @t32 () (+ @t4 1)) % 45.40/45.63 (define @t33 () (>= @t6 @t32)) % 45.40/45.63 (define @t34 () (+ @t3 1)) % 45.40/45.63 (define @t35 () (>= @t5 @t34)) % 45.40/45.63 (define @t36 () (not @t15)) % 45.40/45.63 (define @t37 () (+ tptp.a @t17)) % 45.40/45.63 (define @t38 () (>= @t37 1)) % 45.40/45.63 (define @t39 () (or @t38 @t36)) % 45.40/45.63 (define @t40 () (not @t38)) % 45.40/45.63 (define @t41 () (not @t19)) % 45.40/45.63 (define @t42 () (not @t24)) % 45.40/45.63 (define @t43 () (< @t22 1)) % 45.40/45.63 (define @t44 () (* -1 1)) % 45.40/45.63 (define @t45 () (+ 1 0 @t44)) % 45.40/45.63 (define @t46 () (* 0 tptp.a)) % 45.40/45.63 (define @t47 () (* 0 tptp.c)) % 45.40/45.63 (define @t48 () (+ @t47 @t21 tptp.b @t46)) % 45.40/45.63 (define @t49 () (+ @t22 @t18 (* -1 @t37))) % 45.40/45.63 (define @t50 () (>= @t49 @t45)) % 45.40/45.63 (define @t51 () (and @t38 @t41 @t42)) % 45.40/45.63 (assume @p1 @t12) % 45.40/45.63 (assume @p2 true) % 45.40/45.63 (step @p3 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t14)) (* -1 (- @t13 1))))) % 45.40/45.63 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= @t16 @t15))) % 45.40/45.63 (step @p5 :rule cong :premises (@p4) :args ((not @t16))) % 45.40/45.63 (step @p6 :rule arith-leq-norm :args (@t2 @t1)) % 45.40/45.63 (step @p7 :rule trans :premises (@p6 @p5)) % 45.40/45.63 (step @p8 :rule arith_poly_norm :args ((= (* 1 (- tptp.b tptp.c)) (* 1 (- @t18 0))))) % 45.40/45.63 (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= @t20 @t19))) % 45.40/45.63 (step @p10 :rule cong :premises (@p9) :args ((not @t20))) % 45.40/45.63 (step @p11 :rule arith-elim-lt :args (tptp.b tptp.c)) % 45.40/45.63 (step @p12 :rule trans :premises (@p11 @p10)) % 45.40/45.63 (step @p13 :rule arith_poly_norm :args ((= (* -1 (- tptp.a @t23)) (* -1 (- @t22 1))))) % 45.40/45.63 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= @t25 @t24))) % 45.40/45.63 (step @p15 :rule cong :premises (@p14) :args ((not @t25))) % 45.40/45.63 (step @p16 :rule arith-leq-norm :args (tptp.a tptp.b)) % 45.40/45.63 (step @p17 :rule trans :premises (@p16 @p15)) % 45.40/45.63 (step @p18 :rule refl :args (@t28)) % 45.40/45.63 (step @p19 :rule bool-double-not-elim :args (@t30)) % 45.40/45.63 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t31) @t28))) % 45.40/45.63 (step @p21 :rule bool-impl-elim :args (@t31 @t28)) % 45.40/45.63 (step @p22 :rule trans :premises (@p21 @p20)) % 45.40/45.63 (step @p23 :rule cong :premises (@p22) :args ((forall @t8 (=> @t31 @t28)))) % 45.40/45.63 (step @p24 :rule arith_poly_norm :args ((= (* -1 (- @t6 @t32)) (* -1 (- @t26 1))))) % 45.40/45.63 (step @p25 :rule arith_poly_norm_rel :premises (@p24) :args ((= @t33 @t27))) % 45.40/45.63 (step @p26 :rule cong :premises (@p25) :args ((not @t33))) % 45.40/45.63 (step @p27 :rule arith-leq-norm :args (@t6 @t4)) % 45.40/45.63 (step @p28 :rule trans :premises (@p27 @p26)) % 45.40/45.63 (step @p29 :rule arith_poly_norm :args ((= (* -1 (- @t5 @t34)) (* -1 (- @t29 1))))) % 45.40/45.63 (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= @t35 @t30))) % 45.40/45.63 (step @p31 :rule cong :premises (@p30) :args ((not @t35))) % 45.40/45.63 (step @p32 :rule arith-leq-norm :args (@t5 @t3)) % 45.40/45.63 (step @p33 :rule trans :premises (@p32 @p31)) % 45.40/45.63 (step @p34 :rule cong :premises (@p33 @p28) :args (@t7)) % 45.40/45.63 (step @p35 :rule cong :premises (@p34) :args (@t9)) % 45.40/45.63 (step @p36 :rule trans :premises (@p35 @p23)) % 45.40/45.63 (step @p37 :rule nary_cong :premises (@p36 @p17 @p12) :args (@t10)) % 45.40/45.63 (step @p38 :rule cong :premises (@p37 @p7) :args (@t11)) % 45.40/45.63 (step @p39 :rule cong :premises (@p38) :args (@t12)) % 45.40/45.63 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 45.40/45.63 (step @p41 :rule not_implies_elim1 :premises (@p40)) % 45.40/45.63 (step @p42 :rule and_elim :premises (@p41) :args (1)) % 45.40/45.63 (step @p43 :rule and_elim :premises (@p41) :args (2)) % 45.40/45.63 (step @p44 :rule and_elim :premises (@p41) :args (0)) % 45.40/45.63 (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.a tptp.c))) % 45.40/45.63 (step @p46 :rule not_implies_elim2 :premises (@p40)) % 45.40/45.63 (step @p47 :rule not_not_elim :premises (@p46)) % 45.40/45.63 (step @p48 :rule cnf_or_pos :args (@t39)) % 45.40/45.63 (step @p49 :rule reordering :premises (@p48) :args ((or @t36 @t38 (not @t39)))) % 45.40/45.63 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p45) :args (@t38 (@list false false) (@list @t15 @t39))) % 45.40/45.63 (step @p51 :rule refl :args (@t40)) % 45.40/45.63 (step @p52 :rule bool-double-not-elim :args (@t19)) % 45.40/45.63 (step @p53 :rule bool-double-not-elim :args (@t24)) % 45.40/45.63 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args ((or (not @t42) (not @t41) @t40))) % 45.40/45.63 (assume-push @p122 @t38) % 45.40/45.63 (assume-push @p123 @t41) % 45.40/45.63 (assume-push @p124 @t42) % 45.40/45.63 (step @p58 :rule arith-elim-lt :args (@t22 1)) % 45.40/45.63 (step @p59 :rule cong :premises (@p58) :args ((not @t43))) % 45.40/45.63 (step @p60 :rule trans :premises (@p59 @p53)) % 45.40/45.63 (step @p61 :rule symm :premises (@p60)) % 45.40/45.63 (assume-push @p125 @t43) % 45.40/45.63 (step @p63 :rule evaluate :args ((not true))) % 45.40/45.63 (step @p64 :rule evaluate :args ((>= 0 0))) % 45.40/45.63 (step @p65 :rule evaluate :args ((+ 1 0 -1))) % 45.40/45.63 (step @p66 :rule evaluate :args (@t44)) % 45.40/45.63 (step @p67 :rule refl :args (0)) % 45.40/45.63 (step @p68 :rule refl :args (1)) % 45.40/45.63 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args (@t45)) % 45.40/45.63 (step @p70 :rule trans :premises (@p69 @p65)) % 45.40/45.63 (step @p71 :rule arith_poly_norm :args ((= (+ 0 @t21 tptp.b 0) 0))) % 45.40/45.63 (step @p72 :rule arith_poly_norm :args ((= @t46 0))) % 45.40/45.63 (step @p73 :rule refl :args (tptp.b)) % 45.40/45.63 (step @p74 :rule refl :args (@t21)) % 45.40/45.63 (step @p75 :rule arith_poly_norm :args ((= @t47 0))) % 45.40/45.63 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73 @p72) :args (@t48)) % 45.40/45.63 (step @p77 :rule trans :premises (@p76 @p71)) % 45.40/45.63 (step @p78 :rule arith_poly_norm :args ((= @t49 @t48))) % 45.40/45.63 (step @p79 :rule trans :premises (@p78 @p77)) % 45.40/45.63 (step @p80 :rule cong :premises (@p79 @p70) :args (@t50)) % 45.40/45.63 (step @p81 :rule trans :premises (@p80 @p64)) % 45.40/45.63 (step @p82 :rule cong :premises (@p81) :args ((not @t50))) % 45.40/45.63 (step @p83 :rule trans :premises (@p82 @p63)) % 45.40/45.63 (step @p84 :rule arith-elim-lt :args (@t49 @t45)) % 45.40/45.63 (step @p85 :rule trans :premises (@p84 @p83)) % 45.40/45.63 (step @p86 :rule arith_mult_neg :args (-1 @t38)) % 45.40/45.63 (step @p87 :rule evaluate :args ((< -1 0))) % 45.40/45.63 (step @p88 :rule true_elim :premises (@p87)) % 45.40/45.63 (step @p89 :rule and_intro :premises (@p88 @p50)) % 45.40/45.63 (step @p90 :rule modus_ponens :premises (@p89 @p86)) % 45.40/45.63 (step @p91 :rule arith-elim-lt :args (@t18 0)) % 45.40/45.63 (step @p92 :rule symm :premises (@p91)) % 45.40/45.63 (step @p93 :rule eq_resolve :premises (@p43 @p92)) % 45.40/45.63 (step @p94 :rule symm :premises (@p58)) % 45.40/45.63 (step @p95 :rule and_elim :premises (@p41) :args (1)) % 45.40/45.63 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 45.40/45.63 (step @p97 :rule arith_sum_ub :premises (@p96 @p93 @p90)) % 45.40/45.63 (step @p98 false :rule eq_resolve :premises (@p97 @p85)) % 45.40/45.63 (step-pop @p126 :rule scope :premises (@p98)) % 45.40/45.63 (step @p99 :rule process_scope :premises (@p126) :args (false)) % 45.40/45.63 (step @p101 :rule eq_resolve :premises (@p99 @p60)) % 45.40/45.63 (step @p102 :rule eq_resolve :premises (@p101 @p61)) % 45.40/45.63 (step @p94 :rule symm :premises (@p58)) % 45.40/45.63 (step @p103 :rule eq_resolve :premises (@p42 @p94)) % 45.40/45.63 (step @p104 false :rule contra :premises (@p103 @p102)) % 45.40/45.63 (step-pop @p127 :rule scope :premises (@p104)) % 45.40/45.63 (step-pop @p128 :rule scope :premises (@p127)) % 45.40/45.63 (step-pop @p129 :rule scope :premises (@p128)) % 45.40/45.63 (step @p105 :rule process_scope :premises (@p129) :args (false)) % 45.40/45.63 (assume-push @p130 @t42) % 45.40/45.63 (assume-push @p131 @t41) % 45.40/45.63 (assume-push @p132 @t38) % 45.40/45.63 (step @p112 :rule and_intro :premises (@p50 @p43 @p42)) % 45.40/45.63 (step-pop @p133 :rule scope :premises (@p112)) % 45.40/45.63 (step-pop @p134 :rule scope :premises (@p133)) % 45.40/45.63 (step-pop @p135 :rule scope :premises (@p134)) % 45.40/45.63 (step @p113 :rule process_scope :premises (@p135) :args (@t51)) % 45.40/45.63 (step @p117 :rule implies_elim :premises (@p113)) % 45.40/45.63 (step @p118 :rule resolution :premises (@p117 @p105) :args (true @t51)) % 45.40/45.63 (step @p119 :rule not_and :premises (@p118)) % 45.40/45.63 (step @p120 :rule eq_resolve :premises (@p119 @p54)) % 45.40/45.63 (step @p121 false :rule chain_m_resolution :premises (@p120 @p50 @p43 @p42) :args (false (@list false true true) (@list @t38 @t19 @t24))) % 45.40/45.63 ) % 45.40/45.63 % SZS output end Proof % 45.40/45.63 % cvc5 exiting %------------------------------------------------------------------------------