%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI578_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 : n005.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 08:07:54 AM UTC 2026 % Result : Theorem 0.29s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI578_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:29:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_ARI % 0.29/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.29/0.57 % SZS status Theorem % 0.29/0.57 % SZS output start Proof % 0.29/0.57 ( % 0.29/0.57 (define @t1 () (@var "Y" Int)) % 0.29/0.57 (define @t2 () (@var "X" Int)) % 0.29/0.57 (define @t3 () (+ (* 2 @t2) @t1)) % 0.29/0.57 (define @t4 () (+ @t2 @t1)) % 0.29/0.57 (define @t5 () (and (<= 2 @t2) (<= 2 @t1) (<= @t4 9) (<= 12 @t3))) % 0.29/0.57 (define @t6 () (@list @t2 @t1)) % 0.29/0.57 (define @t7 () (exists @t6 @t5)) % 0.29/0.57 (define @t8 () (not @t7)) % 0.29/0.57 (define @t9 () (>= @t3 12)) % 0.29/0.57 (define @t10 () (not @t9)) % 0.29/0.57 (define @t11 () (>= @t4 10)) % 0.29/0.57 (define @t12 () (>= @t1 2)) % 0.29/0.57 (define @t13 () (not @t12)) % 0.29/0.57 (define @t14 () (>= @t2 2)) % 0.29/0.57 (define @t15 () (not @t14)) % 0.29/0.57 (define @t16 () (forall @t6 (or @t15 @t13 @t11 @t10))) % 0.29/0.57 (define @t17 () (not @t11)) % 0.29/0.57 (define @t18 () (not @t17)) % 0.29/0.57 (define @t19 () (or @t15 @t13 @t18 @t10)) % 0.29/0.57 (define @t20 () (and @t14 @t12 @t17 @t9)) % 0.29/0.57 (define @t21 () (forall @t6 (not @t20))) % 0.29/0.57 (define @t22 () (not @t21)) % 0.29/0.57 (define @t23 () (+ 9 1)) % 0.29/0.57 (define @t24 () (>= @t4 @t23)) % 0.29/0.57 (define @t25 () (* 2 7)) % 0.29/0.57 (define @t26 () (+ @t25 2)) % 0.29/0.57 (define @t27 () (>= @t26 12)) % 0.29/0.57 (define @t28 () (not @t27)) % 0.29/0.57 (define @t29 () (+ 7 2)) % 0.40/0.57 (define @t30 () (>= @t29 10)) % 0.40/0.57 (define @t31 () (>= 2 2)) % 0.40/0.57 (define @t32 () (not @t31)) % 0.40/0.57 (define @t33 () (>= 7 2)) % 0.40/0.57 (define @t34 () (not @t33)) % 0.40/0.57 (define @t35 () (or @t34 @t32 @t30 @t28)) % 0.40/0.57 (assume @p1 @t8) % 0.40/0.57 (assume @p2 true) % 0.40/0.57 (step @p3 :rule bool-double-not-elim :args (@t16)) % 0.40/0.57 (step @p4 :rule refl :args (@t10)) % 0.40/0.57 (step @p5 :rule bool-double-not-elim :args (@t11)) % 0.40/0.57 (step @p6 :rule refl :args (@t13)) % 0.40/0.57 (step @p7 :rule refl :args (@t15)) % 0.40/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5 @p4) :args (@t19)) % 0.40/0.57 (step @p9 :rule aci_norm :args ((= (or @t15 (or @t13 (or @t18 @t10))) @t19))) % 0.40/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.40/0.57 (step @p11 :rule bool-and-de-morgan :args (@t17 @t9 true)) % 0.40/0.57 (step @p12 :rule nary_cong :premises (@p6 @p11) :args ((or @t13 (not (and @t17 @t9))))) % 0.40/0.57 (step @p13 :rule bool-and-de-morgan :args (@t12 @t17 (and @t9))) % 0.40/0.57 (step @p14 :rule trans :premises (@p13 @p12)) % 0.40/0.57 (step @p15 :rule nary_cong :premises (@p7 @p14) :args ((or @t15 (not (and @t12 @t17 @t9))))) % 0.40/0.57 (step @p16 :rule bool-and-de-morgan :args (@t14 @t12 (and @t17 @t9))) % 0.40/0.57 (step @p17 :rule trans :premises (@p16 @p15)) % 0.40/0.57 (step @p18 :rule trans :premises (@p17 @p10)) % 0.40/0.57 (step @p19 :rule cong :premises (@p18) :args (@t21)) % 0.40/0.57 (step @p20 :rule cong :premises (@p19) :args (@t22)) % 0.40/0.57 (step @p21 :rule exists-elim :args ((= (exists @t6 @t20) @t22))) % 0.40/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.40/0.57 (step @p23 :rule arith-elim-leq :args (12 @t3)) % 0.40/0.57 (step @p24 :rule evaluate :args (@t23)) % 0.40/0.57 (step @p25 :rule refl :args (@t4)) % 0.40/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args (@t24)) % 0.40/0.57 (step @p27 :rule cong :premises (@p26) :args ((not @t24))) % 0.40/0.57 (step @p28 :rule arith-leq-norm :args (@t4 9)) % 0.40/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.40/0.57 (step @p30 :rule arith-elim-leq :args (2 @t1)) % 0.40/0.57 (step @p31 :rule arith-elim-leq :args (2 @t2)) % 0.40/0.57 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29 @p23) :args (@t5)) % 0.40/0.57 (step @p33 :rule cong :premises (@p32) :args (@t7)) % 0.40/0.57 (step @p34 :rule trans :premises (@p33 @p22)) % 0.40/0.57 (step @p35 :rule cong :premises (@p34) :args (@t8)) % 0.40/0.57 (step @p36 :rule trans :premises (@p35 @p3)) % 0.40/0.57 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.40/0.57 (step @p38 :rule bool-impl-false1 :args (@t16)) % 0.40/0.57 (step @p39 :rule evaluate :args ((or false false false false))) % 0.40/0.57 (step @p40 :rule evaluate :args ((not true))) % 0.40/0.57 (step @p41 :rule evaluate :args ((>= 16 12))) % 0.40/0.57 (step @p42 :rule refl :args (12)) % 0.40/0.57 (step @p43 :rule evaluate :args ((+ 14 2))) % 0.40/0.57 (step @p44 :rule refl :args (2)) % 0.40/0.57 (step @p45 :rule evaluate :args (@t25)) % 0.40/0.57 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t26)) % 0.40/0.57 (step @p47 :rule trans :premises (@p46 @p43)) % 0.40/0.57 (step @p48 :rule cong :premises (@p47 @p42) :args (@t27)) % 0.40/0.57 (step @p49 :rule trans :premises (@p48 @p41)) % 0.40/0.57 (step @p50 :rule cong :premises (@p49) :args (@t28)) % 0.40/0.57 (step @p51 :rule trans :premises (@p50 @p40)) % 0.40/0.57 (step @p52 :rule evaluate :args ((>= 9 10))) % 0.40/0.57 (step @p53 :rule refl :args (10)) % 0.40/0.57 (step @p54 :rule evaluate :args (@t29)) % 0.40/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args (@t30)) % 0.40/0.57 (step @p56 :rule trans :premises (@p55 @p52)) % 0.40/0.57 (step @p57 :rule evaluate :args (@t31)) % 0.40/0.57 (step @p58 :rule cong :premises (@p57) :args (@t32)) % 0.40/0.57 (step @p59 :rule trans :premises (@p58 @p40)) % 0.40/0.57 (step @p60 :rule evaluate :args (@t33)) % 0.40/0.57 (step @p61 :rule cong :premises (@p60) :args (@t34)) % 0.40/0.57 (step @p62 :rule trans :premises (@p61 @p40)) % 0.40/0.57 (step @p63 :rule nary_cong :premises (@p62 @p59 @p56 @p51) :args (@t35)) % 0.40/0.57 (step @p64 :rule trans :premises (@p63 @p39)) % 0.40/0.57 (step @p65 :rule refl :args (@t16)) % 0.40/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t16 @t35))) % 0.40/0.57 (step @p67 :rule trans :premises (@p66 @p38)) % 0.40/0.57 (assume-push @p74 @t16) % 0.40/0.57 (step @p69 :rule instantiate :premises (@p37) :args ((@list 7 2))) % 0.40/0.57 (step-pop @p75 :rule scope :premises (@p69)) % 0.40/0.57 (step @p70 :rule process_scope :premises (@p75) :args (@t35)) % 0.40/0.57 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.40/0.57 (step @p73 false :rule chain_m_resolution :premises (@p72 @p37) :args (false (@list false) (@list @t16))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------