%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI606_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 : n022.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 45.62s % Output : Proof 45.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ARI606_1 : TPTP v9.2.1. Released v5.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 02:29:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_ARI % 45.40/45.62 --- Run --finite-model-find --decision=internal at 45... % 45.40/45.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.40/45.62 % SZS status Theorem % 45.40/45.62 % SZS output start Proof % 45.40/45.62 ( % 45.40/45.62 (declare-const tptp.f (-> Int Int)) % 45.40/45.62 (define @t1 () (tptp.f 5)) % 45.40/45.62 (define @t2 () (tptp.f @t1)) % 45.40/45.62 (define @t3 () (tptp.f 2)) % 45.40/45.62 (define @t4 () (tptp.f @t3)) % 45.40/45.62 (define @t5 () (@var "Y" Int)) % 45.40/45.62 (define @t6 () (tptp.f @t5)) % 45.40/45.62 (define @t7 () (@var "X" Int)) % 45.40/45.62 (define @t8 () (tptp.f @t7)) % 45.40/45.62 (define @t9 () (=> (<= @t7 @t5) (<= @t8 @t6))) % 45.40/45.62 (define @t10 () (@list @t7 @t5)) % 45.40/45.62 (define @t11 () (forall @t10 @t9)) % 45.40/45.62 (define @t12 () (=> @t11 (<= @t4 @t2))) % 45.40/45.62 (define @t13 () (not @t12)) % 45.40/45.62 (define @t14 () (+ @t4 (* -1 @t2))) % 45.40/45.62 (define @t15 () (+ @t2 1)) % 45.40/45.62 (define @t16 () (>= @t14 1)) % 45.40/45.62 (define @t17 () (>= @t4 @t15)) % 45.40/45.62 (define @t18 () (+ @t8 (* -1 @t6))) % 45.40/45.62 (define @t19 () (>= @t18 1)) % 45.40/45.62 (define @t20 () (not @t19)) % 45.40/45.62 (define @t21 () (+ @t7 (* -1 @t5))) % 45.40/45.62 (define @t22 () (>= @t21 1)) % 45.40/45.62 (define @t23 () (not @t22)) % 45.40/45.62 (define @t24 () (+ @t6 1)) % 45.40/45.62 (define @t25 () (>= @t8 @t24)) % 45.40/45.62 (define @t26 () (+ @t5 1)) % 45.40/45.62 (define @t27 () (>= @t7 @t26)) % 45.40/45.62 (define @t28 () (>= (+ @t3 (* -1 @t1)) 1)) % 45.40/45.62 (define @t29 () (not @t28)) % 45.40/45.62 (define @t30 () (* -1 5)) % 45.40/45.62 (define @t31 () (+ 2 @t30)) % 45.40/45.62 (define @t32 () (>= @t31 1)) % 45.40/45.62 (define @t33 () (or @t32 @t29)) % 45.40/45.62 (define @t34 () (forall @t10 (or @t22 @t20))) % 45.40/45.62 (define @t35 () (not @t16)) % 45.40/45.62 (define @t36 () (or @t28 @t35)) % 45.40/45.62 (assume @p1 @t13) % 45.40/45.62 (assume @p2 true) % 45.40/45.62 (step @p3 :rule arith_poly_norm :args ((= (* -1 (- @t4 @t15)) (* -1 (- @t14 1))))) % 45.40/45.62 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= @t17 @t16))) % 45.40/45.62 (step @p5 :rule cong :premises (@p4) :args ((not @t17))) % 45.40/45.62 (step @p6 :rule arith-leq-norm :args (@t4 @t2)) % 45.40/45.62 (step @p7 :rule trans :premises (@p6 @p5)) % 45.40/45.62 (step @p8 :rule refl :args (@t20)) % 45.40/45.62 (step @p9 :rule bool-double-not-elim :args (@t22)) % 45.40/45.62 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or (not @t23) @t20))) % 45.40/45.62 (step @p11 :rule bool-impl-elim :args (@t23 @t20)) % 45.40/45.62 (step @p12 :rule trans :premises (@p11 @p10)) % 45.40/45.62 (step @p13 :rule cong :premises (@p12) :args ((forall @t10 (=> @t23 @t20)))) % 45.40/45.62 (step @p14 :rule arith_poly_norm :args ((= (* -1 (- @t8 @t24)) (* -1 (- @t18 1))))) % 45.40/45.62 (step @p15 :rule arith_poly_norm_rel :premises (@p14) :args ((= @t25 @t19))) % 45.40/45.62 (step @p16 :rule cong :premises (@p15) :args ((not @t25))) % 45.40/45.62 (step @p17 :rule arith-leq-norm :args (@t8 @t6)) % 45.40/45.62 (step @p18 :rule trans :premises (@p17 @p16)) % 45.40/45.62 (step @p19 :rule arith_poly_norm :args ((= (* -1 (- @t7 @t26)) (* -1 (- @t21 1))))) % 45.40/45.62 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= @t27 @t22))) % 45.40/45.62 (step @p21 :rule cong :premises (@p20) :args ((not @t27))) % 45.40/45.62 (step @p22 :rule arith-leq-norm :args (@t7 @t5)) % 45.40/45.62 (step @p23 :rule trans :premises (@p22 @p21)) % 45.40/45.62 (step @p24 :rule cong :premises (@p23 @p18) :args (@t9)) % 45.40/45.62 (step @p25 :rule cong :premises (@p24) :args (@t11)) % 45.40/45.62 (step @p26 :rule trans :premises (@p25 @p13)) % 45.40/45.62 (step @p27 :rule cong :premises (@p26 @p7) :args (@t12)) % 45.40/45.62 (step @p28 :rule cong :premises (@p27) :args (@t13)) % 45.40/45.62 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 45.40/45.62 (step @p30 :rule not_implies_elim2 :premises (@p29)) % 45.40/45.62 (step @p31 :rule not_not_elim :premises (@p30)) % 45.40/45.62 (step @p32 :rule not_implies_elim1 :premises (@p29)) % 45.40/45.62 (step @p33 :rule aci_norm :args ((= (or false @t29) @t29))) % 45.40/45.62 (step @p34 :rule refl :args (@t29)) % 45.40/45.62 (step @p35 :rule evaluate :args ((>= -3 1))) % 45.40/45.62 (step @p36 :rule refl :args (1)) % 45.40/45.62 (step @p37 :rule evaluate :args ((+ 2 -5))) % 45.40/45.62 (step @p38 :rule evaluate :args (@t30)) % 45.40/45.62 (step @p39 :rule refl :args (2)) % 45.40/45.62 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t31)) % 45.40/45.62 (step @p41 :rule trans :premises (@p40 @p37)) % 45.40/45.62 (step @p42 :rule cong :premises (@p41 @p36) :args (@t32)) % 45.40/45.62 (step @p43 :rule trans :premises (@p42 @p35)) % 45.40/45.62 (step @p44 :rule nary_cong :premises (@p43 @p34) :args (@t33)) % 45.40/45.62 (step @p45 :rule trans :premises (@p44 @p33)) % 45.40/45.62 (step @p46 :rule refl :args (@t34)) % 45.40/45.62 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t34 @t33))) % 45.40/45.62 (assume-push @p59 @t34) % 45.40/45.62 (step @p49 :rule instantiate :premises (@p32) :args ((@list 2 5))) % 45.40/45.62 (step-pop @p60 :rule scope :premises (@p49)) % 45.40/45.62 (step @p50 :rule process_scope :premises (@p60) :args (@t33)) % 45.40/45.62 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 45.40/45.62 (step @p53 :rule implies_elim :premises (@p52)) % 45.40/45.62 (step @p54 :rule chain_m_resolution :premises (@p53 @p32) :args (@t29 (@list false) (@list @t34))) % 45.40/45.62 (step @p55 :rule instantiate :premises (@p32) :args ((@list @t3 @t1))) % 45.40/45.62 (step @p56 :rule cnf_or_pos :args (@t36)) % 45.40/45.62 (step @p57 :rule reordering :premises (@p56) :args ((or @t35 @t28 (not @t36)))) % 45.40/45.62 (step @p58 false :rule chain_m_resolution :premises (@p57 @p55 @p54 @p31) :args (false (@list false true false) (@list @t36 @t28 @t16))) % 45.40/45.62 ) % 45.40/45.62 % SZS output end Proof % 45.40/45.62 % cvc5 exiting %------------------------------------------------------------------------------