%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI535_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:07:49 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI535_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n001.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:29:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.39/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-const tptp.p (-> Int Int Int Bool)) % 0.39/0.61 (define @t1 () (@var "X" Int)) % 0.39/0.61 (define @t2 () (* @t1 2)) % 0.39/0.61 (define @t3 () (tptp.p @t1 2 @t2)) % 0.39/0.61 (define @t4 () (@var "Y" Int)) % 0.39/0.61 (define @t5 () (tptp.p 2 @t4 (+ 2 @t4))) % 0.39/0.61 (define @t6 () (=> @t5 @t3)) % 0.39/0.61 (define @t7 () (@list @t1 @t4)) % 0.39/0.61 (define @t8 () (exists @t7 @t6)) % 0.39/0.61 (define @t9 () (not @t8)) % 0.39/0.61 (define @t10 () (@var "BOUND_VARIABLE_7437" Int)) % 0.39/0.61 (define @t11 () (not (tptp.p @t10 2 (* 2 @t10)))) % 0.39/0.61 (define @t12 () (forall (@list @t10) @t11)) % 0.39/0.61 (define @t13 () (@var "BOUND_VARIABLE_7431" Int)) % 0.39/0.61 (define @t14 () (tptp.p 2 @t13 (+ 2 @t13))) % 0.39/0.61 (define @t15 () (forall (@list @t13) @t14)) % 0.39/0.61 (define @t16 () (@var "BOUND_VARIABLE_7439" Int)) % 0.39/0.61 (define @t17 () (forall (@list @t10 @t16) @t11)) % 0.39/0.61 (define @t18 () (@var "BOUND_VARIABLE_7429" Int)) % 0.39/0.61 (define @t19 () (forall (@list @t18 @t13) @t14)) % 0.39/0.61 (define @t20 () (* 2 @t1)) % 0.39/0.61 (define @t21 () (tptp.p @t1 2 @t20)) % 0.39/0.61 (define @t22 () (not @t21)) % 0.39/0.61 (define @t23 () (forall @t7 @t22)) % 0.39/0.61 (define @t24 () (@list @t1 @t4)) % 0.39/0.61 (define @t25 () (forall @t7 @t5)) % 0.39/0.61 (define @t26 () (and @t25 @t23)) % 0.39/0.61 (define @t27 () (=> @t5 @t21)) % 0.39/0.61 (define @t28 () (forall @t7 (not @t27))) % 0.39/0.61 (define @t29 () (not @t28)) % 0.39/0.61 (define @t30 () (+ 2 2)) % 0.39/0.61 (define @t31 () (tptp.p 2 2 @t30)) % 0.39/0.61 (define @t32 () (@list 2)) % 0.39/0.61 (define @t33 () (tptp.p 2 2 4)) % 0.39/0.61 (define @t34 () (* 2 2)) % 0.39/0.61 (define @t35 () (tptp.p 2 2 @t34)) % 0.39/0.61 (define @t36 () (not @t35)) % 0.39/0.61 (assume @p1 @t9) % 0.39/0.61 (assume @p2 true) % 0.39/0.61 (step @p3 :rule bool-double-not-elim :args ((and @t15 @t12))) % 0.39/0.61 (step @p4 :rule quant-unused-vars :args ((= @t17 @t12))) % 0.39/0.61 (step @p5 :rule quant-unused-vars :args ((= @t19 @t15))) % 0.39/0.61 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((and @t19 @t17))) % 0.39/0.61 (step @p7 :rule alpha_equiv :args (@t23 @t24 (@list @t10 @t16))) % 0.39/0.61 (step @p8 :rule alpha_equiv :args (@t25 @t24 (@list @t18 @t13))) % 0.39/0.61 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t26)) % 0.39/0.61 (step @p10 :rule quant-miniscope-and :args ((= (forall @t7 (and @t5 @t22)) @t26))) % 0.39/0.61 (step @p11 :rule trans :premises (@p10 @p9)) % 0.39/0.61 (step @p12 :rule trans :premises (@p11 @p6)) % 0.39/0.61 (step @p13 :rule bool-implies-de-morgan :args (@t5 @t21)) % 0.39/0.61 (step @p14 :rule cong :premises (@p13) :args (@t28)) % 0.39/0.61 (step @p15 :rule trans :premises (@p14 @p12)) % 0.39/0.61 (step @p16 :rule cong :premises (@p15) :args (@t29)) % 0.39/0.61 (step @p17 :rule exists-elim :args ((= (exists @t7 @t27) @t29))) % 0.39/0.61 (step @p18 :rule trans :premises (@p17 @p16)) % 0.39/0.61 (step @p19 :rule arith_poly_norm :args ((= @t2 @t20))) % 0.39/0.61 (step @p20 :rule refl :args (2)) % 0.39/0.61 (step @p21 :rule refl :args (@t1)) % 0.39/0.61 (step @p22 :rule cong :premises (@p21 @p20 @p19) :args (@t3)) % 0.39/0.61 (step @p23 :rule refl :args (@t5)) % 0.39/0.61 (step @p24 :rule cong :premises (@p23 @p22) :args (@t6)) % 0.39/0.61 (step @p25 :rule cong :premises (@p24) :args (@t8)) % 0.39/0.61 (step @p26 :rule trans :premises (@p25 @p18)) % 0.39/0.61 (step @p27 :rule cong :premises (@p26) :args (@t9)) % 0.39/0.61 (step @p28 :rule trans :premises (@p27 @p3)) % 0.39/0.61 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.39/0.61 (step @p30 :rule and_elim :premises (@p29) :args (1)) % 0.39/0.61 (step @p31 :rule and_elim :premises (@p29) :args (0)) % 0.39/0.61 (step @p32 :rule evaluate :args (@t30)) % 0.39/0.61 (step @p33 :rule cong :premises (@p20 @p20 @p32) :args (@t31)) % 0.39/0.61 (step @p34 :rule refl :args (@t15)) % 0.39/0.61 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t15 @t31))) % 0.39/0.61 (assume-push @p55 @t15) % 0.39/0.61 (step @p37 :rule instantiate :premises (@p31) :args (@t32)) % 0.39/0.61 (step-pop @p56 :rule scope :premises (@p37)) % 0.39/0.61 (step @p38 :rule process_scope :premises (@p56) :args (@t31)) % 0.39/0.61 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.39/0.61 (step @p41 :rule implies_elim :premises (@p40)) % 0.39/0.61 (step @p42 :rule chain_m_resolution :premises (@p41 @p31) :args (@t33 (@list false) (@list @t15))) % 0.39/0.61 (step @p43 :rule evaluate :args (@t34)) % 0.39/0.61 (step @p44 :rule cong :premises (@p20 @p20 @p43) :args (@t35)) % 0.39/0.61 (step @p45 :rule cong :premises (@p44) :args (@t36)) % 0.39/0.61 (step @p46 :rule refl :args (@t12)) % 0.39/0.61 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t12 @t36))) % 0.39/0.61 (assume-push @p57 @t12) % 0.39/0.61 (step @p49 :rule instantiate :premises (@p30) :args (@t32)) % 0.39/0.61 (step-pop @p58 :rule scope :premises (@p49)) % 0.39/0.61 (step @p50 :rule process_scope :premises (@p58) :args (@t36)) % 0.39/0.61 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.39/0.61 (step @p53 :rule implies_elim :premises (@p52)) % 0.39/0.61 (step @p54 false :rule chain_m_resolution :premises (@p53 @p42 @p30) :args (false (@list false false) (@list @t33 @t12))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------