%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI603_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 : 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 08:07:57 AM UTC 2026 % Result : Theorem 150.48s 151.00s % Output : Proof 150.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ARI603_1 : TPTP v9.2.1. Released v5.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 02:29:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 150.48/151.00 --- Run --finite-model-find --decision=internal at 45... % 150.48/151.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 150.48/151.00 --- Run --no-e-matching --full-saturate-quant at 45... % 150.48/151.00 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 150.48/151.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --no-cegqi --no-sygus-inst at 45... % 150.48/151.00 % SZS status Theorem % 150.48/151.00 % SZS output start Proof % 150.48/151.00 ( % 150.48/151.00 (declare-const tptp.f (-> Int Int)) % 150.48/151.00 (define @t1 () (@var "X" Int)) % 150.48/151.00 (define @t2 () (tptp.f @t1)) % 150.48/151.00 (define @t3 () (@var "Z" Int)) % 150.48/151.00 (define @t4 () (+ @t3 @t2)) % 150.48/151.00 (define @t5 () (@var "Y" Int)) % 150.48/151.00 (define @t6 () (@list @t1)) % 150.48/151.00 (define @t7 () (exists @t6 (< @t5 @t4))) % 150.48/151.00 (define @t8 () (@list @t5 @t3)) % 150.48/151.00 (define @t9 () (forall @t8 @t7)) % 150.48/151.00 (define @t10 () (forall @t6 (> @t2 @t1))) % 150.48/151.00 (define @t11 () (=> @t10 @t9)) % 150.48/151.00 (define @t12 () (not @t11)) % 150.48/151.00 (define @t13 () (* -1 @t2)) % 150.48/151.00 (define @t14 () (+ @t5 (* -1 @t3) @t13)) % 150.48/151.00 (define @t15 () (>= @t14 0)) % 150.48/151.00 (define @t16 () (not @t15)) % 150.48/151.00 (define @t17 () (forall @t6 (not @t16))) % 150.48/151.00 (define @t18 () (not @t17)) % 150.48/151.00 (define @t19 () (>= @t5 @t4)) % 150.48/151.00 (define @t20 () (+ @t1 @t13)) % 150.48/151.00 (define @t21 () (>= @t20 0)) % 150.48/151.00 (define @t22 () (>= @t1 @t2)) % 150.48/151.00 (define @t23 () (forall @t8 (not (forall @t6 @t15)))) % 150.48/151.00 (define @t24 () (* -1 (@quantifiers_skolemize @t23 1))) % 150.48/151.00 (define @t25 () (@quantifiers_skolemize @t23 0)) % 150.48/151.00 (define @t26 () (forall @t6 (>= (+ @t25 @t24 @t13) 0))) % 150.48/151.00 (define @t27 () (not @t23)) % 150.48/151.00 (define @t28 () (not (not @t26))) % 150.48/151.00 (define @t29 () (+ @t25 @t24)) % 150.48/151.00 (define @t30 () (* -1 (tptp.f @t29))) % 150.48/151.00 (define @t31 () (+ @t25 @t24 @t30)) % 150.48/151.00 (define @t32 () (+ @t30 @t24 @t25)) % 150.48/151.00 (define @t33 () (+ @t29 @t30)) % 150.48/151.00 (define @t34 () (>= @t33 0)) % 150.48/151.00 (define @t35 () (not @t34)) % 150.48/151.00 (define @t36 () (forall @t6 (not @t21))) % 150.48/151.00 (define @t37 () (@list @t29)) % 150.48/151.00 (define @t38 () (>= @t31 0)) % 150.48/151.00 (assume @p1 @t12) % 150.48/151.00 (assume @p2 true) % 150.48/151.00 (step @p3 :rule bool-double-not-elim :args (@t15)) % 150.48/151.00 (step @p4 :rule cong :premises (@p3) :args (@t17)) % 150.48/151.00 (step @p5 :rule cong :premises (@p4) :args (@t18)) % 150.48/151.00 (step @p6 :rule exists-elim :args ((= (exists @t6 @t16) @t18))) % 150.48/151.00 (step @p7 :rule trans :premises (@p6 @p5)) % 150.48/151.00 (step @p8 :rule arith_poly_norm :args ((= (* -1 (- @t5 @t4)) (* -1 (- @t14 0))))) % 150.48/151.00 (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= @t19 @t15))) % 150.48/151.00 (step @p10 :rule cong :premises (@p9) :args ((not @t19))) % 150.48/151.00 (step @p11 :rule arith-elim-lt :args (@t5 @t4)) % 150.48/151.00 (step @p12 :rule trans :premises (@p11 @p10)) % 150.48/151.00 (step @p13 :rule cong :premises (@p12) :args (@t7)) % 150.48/151.00 (step @p14 :rule trans :premises (@p13 @p7)) % 150.48/151.00 (step @p15 :rule cong :premises (@p14) :args (@t9)) % 150.48/151.00 (step @p16 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t2)) (* 1 (- @t20 0))))) % 150.48/151.00 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= @t22 @t21))) % 150.48/151.00 (step @p18 :rule arith-elim-leq :args (@t2 @t1)) % 150.48/151.00 (step @p19 :rule trans :premises (@p18 @p17)) % 150.48/151.00 (step @p20 :rule cong :premises (@p19) :args ((not (<= @t2 @t1)))) % 150.48/151.00 (step @p21 :rule symm :premises (@p18)) % 150.48/151.00 (step @p22 :rule cong :premises (@p21) :args ((not @t22))) % 150.48/151.00 (step @p23 :rule arith-elim-gt :args (@t2 @t1)) % 150.48/151.00 (step @p24 :rule trans :premises (@p23 @p22)) % 150.48/151.00 (step @p25 :rule trans :premises (@p24 @p20)) % 150.48/151.00 (step @p26 :rule cong :premises (@p25) :args (@t10)) % 150.48/151.00 (step @p27 :rule cong :premises (@p26 @p15) :args (@t11)) % 150.48/151.00 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 150.48/151.00 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 150.48/151.00 (step @p30 :rule not_implies_elim2 :premises (@p29)) % 150.48/151.00 (step @p31 :rule refl :args (@t26)) % 150.48/151.00 (step @p32 :rule bool-double-not-elim :args (@t23)) % 150.48/151.00 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t27) @t26))) % 150.48/151.00 (step @p34 :rule bool-double-not-elim :args (@t26)) % 150.48/151.00 (step @p35 :rule refl :args (@t27)) % 150.48/151.00 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t27 @t28))) % 150.48/151.00 (assume-push @p67 @t27) % 150.48/151.00 (step @p38 :rule skolemize :premises (@p30)) % 150.48/151.00 (step-pop @p68 :rule scope :premises (@p38)) % 150.48/151.00 (step @p39 :rule process_scope :premises (@p68) :args (@t28)) % 150.48/151.00 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 150.48/151.00 (step @p42 :rule implies_elim :premises (@p41)) % 150.48/151.00 (step @p43 :rule eq_resolve :premises (@p42 @p33)) % 150.48/151.00 (step @p44 :rule chain_m_resolution :premises (@p43 @p30) :args (@t26 (@list true) (@list @t23))) % 150.48/151.00 (step @p45 :rule not_implies_elim1 :premises (@p29)) % 150.48/151.00 (step @p46 :rule refl :args (0)) % 150.48/151.00 (step @p47 :rule arith_poly_norm :args ((= @t32 @t31))) % 150.48/151.00 (step @p48 :rule arith_poly_norm :args ((= @t33 @t32))) % 150.48/151.00 (step @p49 :rule trans :premises (@p48 @p47)) % 150.48/151.00 (step @p50 :rule cong :premises (@p49 @p46) :args (@t34)) % 150.48/151.00 (step @p51 :rule cong :premises (@p50) :args (@t35)) % 150.48/151.00 (step @p52 :rule refl :args (@t36)) % 150.48/151.00 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t36 @t35))) % 150.48/151.00 (assume-push @p69 @t36) % 150.48/151.00 (step @p55 :rule instantiate :premises (@p45) :args (@t37)) % 150.48/151.00 (step-pop @p70 :rule scope :premises (@p55)) % 150.48/151.00 (step @p56 :rule process_scope :premises (@p70) :args (@t35)) % 150.48/151.00 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 150.48/151.00 (step @p59 :rule implies_elim :premises (@p58)) % 150.48/151.00 (step @p60 :rule chain_m_resolution :premises (@p59 @p45) :args ((not @t38) (@list false) (@list @t36))) % 150.48/151.00 (assume-push @p71 @t26) % 150.48/151.00 (step @p62 :rule instantiate :premises (@p44) :args (@t37)) % 150.48/151.00 (step-pop @p72 :rule scope :premises (@p62)) % 150.48/151.00 (step @p63 :rule process_scope :premises (@p72) :args (@t38)) % 150.48/151.00 (step @p65 :rule implies_elim :premises (@p63)) % 150.48/151.00 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p44) :args (false (@list true false) (@list @t38 @t26))) % 150.48/151.00 ) % 150.48/151.00 % SZS output end Proof % 150.48/151.00 % cvc5 exiting %------------------------------------------------------------------------------