%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI577_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 : n021.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 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI577_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n021.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 02:30:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.32/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.32/0.56 % SZS status Theorem % 0.32/0.56 % SZS output start Proof % 0.32/0.56 ( % 0.32/0.56 (define @t1 () (@var "Y" Int)) % 0.32/0.56 (define @t2 () (@var "X" Int)) % 0.32/0.56 (define @t3 () (+ @t2 @t1)) % 0.32/0.56 (define @t4 () (+ @t1 1)) % 0.32/0.56 (define @t5 () (<= @t4 @t2)) % 0.32/0.56 (define @t6 () (and (<= 4 @t1) @t5 (<= @t3 10))) % 0.32/0.56 (define @t7 () (@list @t2 @t1)) % 0.32/0.56 (define @t8 () (exists @t7 @t6)) % 0.32/0.56 (define @t9 () (not @t8)) % 0.32/0.56 (define @t10 () (>= @t3 11)) % 0.32/0.56 (define @t11 () (+ @t2 (* -1 @t1))) % 0.32/0.56 (define @t12 () (>= @t11 1)) % 0.32/0.56 (define @t13 () (not @t12)) % 0.32/0.56 (define @t14 () (>= @t1 4)) % 0.32/0.56 (define @t15 () (not @t14)) % 0.32/0.56 (define @t16 () (forall @t7 (or @t15 @t13 @t10))) % 0.32/0.56 (define @t17 () (not @t10)) % 0.32/0.56 (define @t18 () (not @t17)) % 0.32/0.56 (define @t19 () (or @t15 @t13 @t18)) % 0.32/0.56 (define @t20 () (and @t14 @t12 @t17)) % 0.32/0.56 (define @t21 () (forall @t7 (not @t20))) % 0.32/0.56 (define @t22 () (not @t21)) % 0.32/0.56 (define @t23 () (+ 10 1)) % 0.32/0.56 (define @t24 () (>= @t3 @t23)) % 0.32/0.56 (define @t25 () (+ 1 @t1)) % 0.32/0.56 (define @t26 () (+ 6 4)) % 0.32/0.56 (define @t27 () (>= @t26 11)) % 0.32/0.56 (define @t28 () (* -1 4)) % 0.32/0.56 (define @t29 () (+ 6 @t28)) % 0.32/0.56 (define @t30 () (>= @t29 1)) % 0.32/0.56 (define @t31 () (not @t30)) % 0.32/0.56 (define @t32 () (>= 4 4)) % 0.32/0.56 (define @t33 () (not @t32)) % 0.32/0.56 (define @t34 () (or @t33 @t31 @t27)) % 0.32/0.56 (assume @p1 @t9) % 0.32/0.56 (assume @p2 true) % 0.32/0.56 (step @p3 :rule bool-double-not-elim :args (@t16)) % 0.32/0.56 (step @p4 :rule bool-double-not-elim :args (@t10)) % 0.32/0.56 (step @p5 :rule refl :args (@t13)) % 0.32/0.56 (step @p6 :rule refl :args (@t15)) % 0.32/0.56 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t19)) % 0.32/0.56 (step @p8 :rule aci_norm :args ((= (or @t15 (or @t13 @t18)) @t19))) % 0.32/0.56 (step @p9 :rule trans :premises (@p8 @p7)) % 0.32/0.56 (step @p10 :rule bool-and-de-morgan :args (@t12 @t17 true)) % 0.32/0.56 (step @p11 :rule nary_cong :premises (@p6 @p10) :args ((or @t15 (not (and @t12 @t17))))) % 0.32/0.56 (step @p12 :rule bool-and-de-morgan :args (@t14 @t12 (and @t17))) % 0.32/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.32/0.56 (step @p14 :rule trans :premises (@p13 @p9)) % 0.32/0.56 (step @p15 :rule cong :premises (@p14) :args (@t21)) % 0.32/0.56 (step @p16 :rule cong :premises (@p15) :args (@t22)) % 0.32/0.56 (step @p17 :rule exists-elim :args ((= (exists @t7 @t20) @t22))) % 0.32/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.32/0.56 (step @p19 :rule evaluate :args (@t23)) % 0.32/0.56 (step @p20 :rule refl :args (@t3)) % 0.32/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args (@t24)) % 0.32/0.56 (step @p22 :rule cong :premises (@p21) :args ((not @t24))) % 0.32/0.56 (step @p23 :rule arith-leq-norm :args (@t3 10)) % 0.32/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.32/0.56 (step @p25 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t25)) (* -1 (- @t11 1))))) % 0.32/0.56 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= (>= @t2 @t25) @t12))) % 0.32/0.56 (step @p27 :rule arith-elim-leq :args (@t25 @t2)) % 0.32/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.32/0.56 (step @p29 :rule refl :args (@t2)) % 0.32/0.56 (step @p30 :rule arith_poly_norm :args ((= @t4 @t25))) % 0.32/0.56 (step @p31 :rule cong :premises (@p30 @p29) :args (@t5)) % 0.32/0.56 (step @p32 :rule trans :premises (@p31 @p28)) % 0.32/0.56 (step @p33 :rule arith-elim-leq :args (4 @t1)) % 0.32/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32 @p24) :args (@t6)) % 0.32/0.56 (step @p35 :rule cong :premises (@p34) :args (@t8)) % 0.32/0.56 (step @p36 :rule trans :premises (@p35 @p18)) % 0.32/0.56 (step @p37 :rule cong :premises (@p36) :args (@t9)) % 0.32/0.56 (step @p38 :rule trans :premises (@p37 @p3)) % 0.32/0.56 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 0.32/0.56 (step @p40 :rule bool-impl-false1 :args (@t16)) % 0.32/0.56 (step @p41 :rule evaluate :args ((or false false false))) % 0.32/0.56 (step @p42 :rule evaluate :args ((>= 10 11))) % 0.32/0.56 (step @p43 :rule refl :args (11)) % 0.32/0.56 (step @p44 :rule evaluate :args (@t26)) % 0.32/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t27)) % 0.32/0.56 (step @p46 :rule trans :premises (@p45 @p42)) % 0.32/0.56 (step @p47 :rule evaluate :args ((not true))) % 0.32/0.56 (step @p48 :rule evaluate :args ((>= 2 1))) % 0.32/0.56 (step @p49 :rule refl :args (1)) % 0.32/0.56 (step @p50 :rule evaluate :args ((+ 6 -4))) % 0.32/0.56 (step @p51 :rule evaluate :args (@t28)) % 0.32/0.56 (step @p52 :rule refl :args (6)) % 0.32/0.56 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t29)) % 0.32/0.56 (step @p54 :rule trans :premises (@p53 @p50)) % 0.32/0.56 (step @p55 :rule cong :premises (@p54 @p49) :args (@t30)) % 0.32/0.56 (step @p56 :rule trans :premises (@p55 @p48)) % 0.32/0.56 (step @p57 :rule cong :premises (@p56) :args (@t31)) % 0.32/0.56 (step @p58 :rule trans :premises (@p57 @p47)) % 0.32/0.56 (step @p59 :rule evaluate :args (@t32)) % 0.32/0.56 (step @p60 :rule cong :premises (@p59) :args (@t33)) % 0.32/0.56 (step @p61 :rule trans :premises (@p60 @p47)) % 0.32/0.56 (step @p62 :rule nary_cong :premises (@p61 @p58 @p46) :args (@t34)) % 0.32/0.56 (step @p63 :rule trans :premises (@p62 @p41)) % 0.32/0.56 (step @p64 :rule refl :args (@t16)) % 0.32/0.56 (step @p65 :rule cong :premises (@p64 @p63) :args ((=> @t16 @t34))) % 0.32/0.56 (step @p66 :rule trans :premises (@p65 @p40)) % 0.32/0.56 (assume-push @p73 @t16) % 0.32/0.56 (step @p68 :rule instantiate :premises (@p39) :args ((@list 6 4))) % 0.32/0.56 (step-pop @p74 :rule scope :premises (@p68)) % 0.32/0.56 (step @p69 :rule process_scope :premises (@p74) :args (@t34)) % 0.32/0.56 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.32/0.56 (step @p72 false :rule chain_m_resolution :premises (@p71 @p39) :args (false (@list false) (@list @t16))) % 0.32/0.56 ) % 0.32/0.56 % SZS output end Proof % 0.32/0.56 % cvc5 exiting %------------------------------------------------------------------------------