%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO021-1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:09:05 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO021-1 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 02:37:22 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.a $$unsorted) % 0.38/0.57 (declare-const tptp.b $$unsorted) % 0.38/0.57 (declare-const tptp.n0 $$unsorted) % 0.38/0.57 (declare-const tptp.n1 $$unsorted) % 0.38/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.multiply (tptp.add @t2 @t1) @t1)) % 0.38/0.57 (define @t4 () (@list @t2 @t1)) % 0.38/0.57 (define @t5 () (forall @t4 (= @t3 @t1))) % 0.38/0.57 (define @t6 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t7 () (@list @t2 @t1 @t6)) % 0.38/0.57 (define @t8 () (tptp.inverse @t2)) % 0.38/0.57 (define @t9 () (@list @t2)) % 0.38/0.57 (define @t10 () (tptp.add (tptp.multiply @t2 @t1) @t1)) % 0.38/0.57 (define @t11 () (forall @t4 (= @t10 @t1))) % 0.38/0.57 (define @t12 () (tptp.multiply tptp.a tptp.b)) % 0.38/0.57 (define @t13 () (tptp.multiply tptp.b tptp.a)) % 0.38/0.57 (define @t14 () (= @t13 @t12)) % 0.38/0.57 (define @t15 () (not @t14)) % 0.38/0.57 (define @t16 () (tptp.multiply @t12 tptp.a)) % 0.38/0.57 (define @t17 () (tptp.add @t12 tptp.b)) % 0.38/0.57 (define @t18 () (tptp.add @t16 @t13)) % 0.38/0.57 (define @t19 () (tptp.multiply @t18 @t13)) % 0.38/0.57 (define @t20 () (tptp.add @t19 @t13)) % 0.38/0.57 (define @t21 () (= @t13 @t20)) % 0.38/0.57 (define @t22 () (not @t21)) % 0.38/0.57 (define @t23 () (tptp.add tptp.b tptp.b)) % 0.38/0.57 (define @t24 () (tptp.multiply tptp.a @t23)) % 0.38/0.57 (define @t25 () (= @t24 (tptp.add @t13 @t13))) % 0.38/0.57 (define @t26 () (not @t25)) % 0.38/0.57 (define @t27 () (tptp.multiply @t17 tptp.b)) % 0.38/0.57 (define @t28 () (= tptp.b (tptp.add @t27 tptp.b))) % 0.38/0.57 (define @t29 () (not @t28)) % 0.38/0.57 (define @t30 () (= @t13 @t19)) % 0.38/0.57 (define @t31 () (not @t30)) % 0.38/0.57 (define @t32 () (= tptp.b @t27)) % 0.38/0.57 (define @t33 () (not @t32)) % 0.38/0.57 (define @t34 () (and @t15 @t32 @t30 @t28 @t25)) % 0.38/0.57 (assume @p1 @t5) % 0.38/0.57 (assume @p2 (forall @t7 (= (tptp.multiply @t2 (tptp.add @t1 @t6)) (tptp.add (tptp.multiply @t1 @t2) (tptp.multiply @t6 @t2))))) % 0.38/0.57 (assume @p3 (forall @t9 (= (tptp.add @t2 @t8) tptp.n1))) % 0.38/0.57 (assume @p4 @t11) % 0.38/0.57 (assume @p5 (forall @t7 (= (tptp.add @t2 (tptp.multiply @t1 @t6)) (tptp.multiply (tptp.add @t1 @t2) (tptp.add @t6 @t2))))) % 0.38/0.57 (assume @p6 (forall @t9 (= (tptp.multiply @t2 @t8) tptp.n0))) % 0.38/0.57 (assume @p7 @t15) % 0.38/0.57 (step @p8 :rule eq-symm :args (@t3 @t1)) % 0.38/0.57 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 0.38/0.57 (step @p10 :rule eq_resolve :premises (@p1 @p9)) % 0.38/0.57 (step @p11 :rule instantiate :premises (@p10) :args ((@list @t12 tptp.b))) % 0.38/0.57 (step @p12 :rule instantiate :premises (@p10) :args ((@list @t16 @t13))) % 0.38/0.57 (step @p13 :rule eq-symm :args (@t10 @t1)) % 0.38/0.57 (step @p14 :rule cong :premises (@p13) :args (@t11)) % 0.38/0.57 (step @p15 :rule eq_resolve :premises (@p4 @p14)) % 0.38/0.57 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t17 tptp.b))) % 0.38/0.57 (step @p17 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b tptp.b))) % 0.38/0.57 (step @p18 :rule instantiate :premises (@p15) :args ((@list @t18 @t13))) % 0.38/0.57 (step @p19 :rule refl :args (@t22)) % 0.38/0.57 (step @p20 :rule refl :args (@t26)) % 0.38/0.57 (step @p21 :rule refl :args (@t29)) % 0.38/0.57 (step @p22 :rule refl :args (@t31)) % 0.38/0.57 (step @p23 :rule refl :args (@t33)) % 0.38/0.57 (step @p24 :rule bool-double-not-elim :args (@t14)) % 0.38/0.57 (step @p25 :rule nary_cong :premises (@p24 @p23 @p22 @p21 @p20 @p19) :args ((or (not @t15) @t33 @t31 @t29 @t26 @t22))) % 0.38/0.57 (assume-push @p57 @t15) % 0.38/0.57 (assume-push @p58 @t32) % 0.38/0.57 (assume-push @p59 @t30) % 0.38/0.57 (assume-push @p60 @t28) % 0.38/0.57 (assume-push @p61 @t25) % 0.38/0.57 (step @p31 :rule false_intro :premises (@p7)) % 0.38/0.57 (step @p32 :rule symm :premises (@p16)) % 0.38/0.57 (step @p33 :rule refl :args (tptp.b)) % 0.38/0.57 (step @p34 :rule cong :premises (@p11 @p33) :args (@t23)) % 0.38/0.57 (step @p35 :rule trans :premises (@p34 @p32)) % 0.38/0.57 (step @p36 :rule refl :args (tptp.a)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t24)) % 0.38/0.57 (step @p38 :rule symm :premises (@p17)) % 0.38/0.57 (step @p39 :rule refl :args (@t13)) % 0.38/0.57 (step @p40 :rule symm :premises (@p12)) % 0.38/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args (@t20)) % 0.38/0.57 (step @p42 :rule trans :premises (@p41 @p38 @p37)) % 0.38/0.57 (step @p43 :rule cong :premises (@p39 @p42) :args (@t21)) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p31)) % 0.38/0.57 (step @p45 :rule false_elim :premises (@p44)) % 0.38/0.57 (step-pop @p62 :rule scope :premises (@p45)) % 0.38/0.57 (step-pop @p63 :rule scope :premises (@p62)) % 0.38/0.57 (step-pop @p64 :rule scope :premises (@p63)) % 0.38/0.57 (step-pop @p65 :rule scope :premises (@p64)) % 0.38/0.57 (step-pop @p66 :rule scope :premises (@p65)) % 0.38/0.57 (step @p46 :rule process_scope :premises (@p66) :args (@t22)) % 0.38/0.57 (step @p52 :rule implies_elim :premises (@p46)) % 0.38/0.57 (step @p53 :rule cnf_and_neg :args (@t34)) % 0.38/0.57 (step @p54 :rule resolution :premises (@p53 @p52) :args (true @t34)) % 0.38/0.57 (step @p55 :rule eq_resolve :premises (@p54 @p25)) % 0.38/0.57 (step @p56 false :rule chain_m_resolution :premises (@p55 @p18 @p17 @p16 @p12 @p11 @p7) :args (false (@list false false false false false true) (@list @t21 @t25 @t28 @t30 @t32 @t14))) % 0.38/0.57 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------