%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI085_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 : n012.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 08:07:06 AM UTC 2026 % Result : Theorem 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : ARI085_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Wed Jun 3 02:25:33 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.33 %----Proving TF0_ARI % 0.15/0.39 --- Run --finite-model-find --decision=internal at 45... % 0.15/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-const tptp.p (-> Int Int Bool)) % 0.15/0.39 (define @t1 () (@var "Y" Int)) % 0.15/0.39 (define @t2 () (@var "X" Int)) % 0.15/0.39 (define @t3 () (+ @t2 @t1)) % 0.15/0.39 (define @t4 () (= @t3 7)) % 0.15/0.39 (define @t5 () (tptp.p @t2 @t1)) % 0.15/0.39 (define @t6 () (and @t5 @t4)) % 0.15/0.39 (define @t7 () (@list @t2 @t1)) % 0.15/0.39 (define @t8 () (exists @t7 @t6)) % 0.15/0.39 (define @t9 () (tptp.p 3 4)) % 0.15/0.39 (define @t10 () (and @t9 (not (tptp.p 1 6)))) % 0.15/0.39 (define @t11 () (=> @t10 @t8)) % 0.15/0.39 (define @t12 () (not @t11)) % 0.15/0.39 (define @t13 () (+ 7 (* -1 @t1))) % 0.15/0.39 (define @t14 () (not (tptp.p @t13 @t1))) % 0.15/0.39 (define @t15 () (not (= @t13 @t13))) % 0.15/0.39 (define @t16 () (or @t14 @t15)) % 0.15/0.39 (define @t17 () (@list @t1)) % 0.15/0.39 (define @t18 () (= @t2 @t13)) % 0.15/0.39 (define @t19 () (not @t18)) % 0.15/0.39 (define @t20 () (not @t5)) % 0.15/0.39 (define @t21 () (or @t19 @t20 @t19)) % 0.15/0.39 (define @t22 () (@list @t2)) % 0.15/0.39 (define @t23 () (or @t20 @t19)) % 0.15/0.39 (define @t24 () (forall @t22 @t23)) % 0.15/0.39 (define @t25 () (forall @t17 @t24)) % 0.15/0.39 (define @t26 () (forall (@list @t1 @t2) @t23)) % 0.15/0.39 (define @t27 () (and @t5 @t18)) % 0.15/0.39 (define @t28 () (forall @t7 (not @t27))) % 0.15/0.39 (define @t29 () (not @t28)) % 0.15/0.39 (define @t30 () (* -1 4)) % 0.15/0.39 (define @t31 () (+ 7 @t30)) % 0.15/0.39 (define @t32 () (tptp.p @t31 4)) % 0.15/0.39 (define @t33 () (not @t32)) % 0.15/0.39 (define @t34 () (forall @t17 @t14)) % 0.15/0.39 (assume @p1 @t12) % 0.15/0.39 (assume @p2 true) % 0.15/0.39 (step @p3 :rule aci_norm :args ((= (or @t14 false) @t14))) % 0.15/0.39 (step @p4 :rule evaluate :args ((not true))) % 0.15/0.39 (step @p5 :rule eq-refl :args (@t13)) % 0.15/0.39 (step @p6 :rule cong :premises (@p5) :args (@t15)) % 0.15/0.39 (step @p7 :rule trans :premises (@p6 @p4)) % 0.15/0.39 (step @p8 :rule refl :args (@t14)) % 0.15/0.39 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t16)) % 0.15/0.39 (step @p10 :rule trans :premises (@p9 @p3)) % 0.15/0.39 (step @p11 :rule cong :premises (@p10) :args ((forall @t17 @t16))) % 0.15/0.39 (step @p12 :rule quant-var-elim-eq :args ((= (forall @t22 @t21) @t16))) % 0.15/0.39 (step @p13 :rule aci_norm :args ((= @t23 @t21))) % 0.15/0.39 (step @p14 :rule cong :premises (@p13) :args (@t24)) % 0.15/0.39 (step @p15 :rule trans :premises (@p14 @p12)) % 0.15/0.39 (step @p16 :rule cong :premises (@p15) :args (@t25)) % 0.15/0.39 (step @p17 :rule quant-merge-prenex :args ((= @t25 @t26))) % 0.15/0.39 (step @p18 :rule symm :premises (@p17)) % 0.15/0.39 (step @p19 :rule quant_var_reordering :args ((= (forall @t7 @t23) @t26))) % 0.15/0.39 (step @p20 :rule trans :premises (@p19 @p18 @p16)) % 0.15/0.39 (step @p21 :rule trans :premises (@p20 @p11)) % 0.15/0.39 (step @p22 :rule bool-and-de-morgan :args (@t5 @t18 true)) % 0.15/0.39 (step @p23 :rule cong :premises (@p22) :args (@t28)) % 0.15/0.39 (step @p24 :rule trans :premises (@p23 @p21)) % 0.15/0.39 (step @p25 :rule cong :premises (@p24) :args (@t29)) % 0.15/0.39 (step @p26 :rule exists-elim :args ((= (exists @t7 @t27) @t29))) % 0.15/0.39 (step @p27 :rule trans :premises (@p26 @p25)) % 0.15/0.39 (step @p28 :rule arith_poly_norm :args ((= (* -7 (- @t3 7)) (* -7 (- @t2 @t13))))) % 0.15/0.39 (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t4 @t18))) % 0.15/0.39 (step @p30 :rule refl :args (@t5)) % 0.15/0.39 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t6)) % 0.15/0.39 (step @p32 :rule cong :premises (@p31) :args (@t8)) % 0.15/0.39 (step @p33 :rule trans :premises (@p32 @p27)) % 0.15/0.39 (step @p34 :rule refl :args (@t10)) % 0.15/0.39 (step @p35 :rule cong :premises (@p34 @p33) :args (@t11)) % 0.15/0.39 (step @p36 :rule cong :premises (@p35) :args (@t12)) % 0.15/0.39 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.15/0.39 (step @p38 :rule not_implies_elim1 :premises (@p37)) % 0.15/0.39 (step @p39 :rule and_elim :premises (@p38) :args (0)) % 0.15/0.39 (step @p40 :rule not_implies_elim2 :premises (@p37)) % 0.15/0.39 (step @p41 :rule not_not_elim :premises (@p40)) % 0.15/0.39 (step @p42 :rule refl :args (4)) % 0.15/0.39 (step @p43 :rule evaluate :args ((+ 7 -4))) % 0.15/0.39 (step @p44 :rule evaluate :args (@t30)) % 0.15/0.39 (step @p45 :rule refl :args (7)) % 0.15/0.39 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t31)) % 0.15/0.39 (step @p47 :rule trans :premises (@p46 @p43)) % 0.15/0.39 (step @p48 :rule cong :premises (@p47 @p42) :args (@t32)) % 0.15/0.39 (step @p49 :rule cong :premises (@p48) :args (@t33)) % 0.15/0.39 (step @p50 :rule refl :args (@t34)) % 0.15/0.39 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t34 @t33))) % 0.15/0.39 (assume-push @p59 @t34) % 0.15/0.39 (step @p53 :rule instantiate :premises (@p41) :args ((@list 4))) % 0.15/0.39 (step-pop @p60 :rule scope :premises (@p53)) % 0.15/0.39 (step @p54 :rule process_scope :premises (@p60) :args (@t33)) % 0.15/0.39 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.15/0.39 (step @p57 :rule implies_elim :premises (@p56)) % 0.15/0.39 (step @p58 false :rule chain_m_resolution :premises (@p57 @p41 @p39) :args (false (@list false false) (@list @t34 @t9))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------