%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU917^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:53:31 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU917^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:00:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.60 (define @t3 () (= @t2 @t1)) % 0.38/0.60 (define @t4 () (@var "F" (-> $$unsorted $$unsorted))) % 0.38/0.60 (define @t5 () (_ @t4 @t1)) % 0.38/0.60 (define @t6 () (_ @t4 @t2)) % 0.38/0.60 (define @t7 () (= @t6 @t5)) % 0.38/0.60 (define @t8 () (@list @t2 @t1)) % 0.38/0.60 (define @t9 () (forall @t8 (=> @t7 @t3))) % 0.38/0.60 (define @t10 () (@list @t4)) % 0.38/0.60 (define @t11 () (exists @t10 @t9)) % 0.38/0.60 (define @t12 () (not @t11)) % 0.38/0.60 (define @t13 () (_ @t4 @t1)) % 0.38/0.60 (define @t14 () (_ @t4 @t2)) % 0.38/0.60 (define @t15 () (forall @t8 (or (not (= @t14 @t13)) @t3))) % 0.38/0.60 (define @t16 () (forall @t10 (not @t15))) % 0.38/0.60 (define @t17 () (not @t7)) % 0.38/0.60 (define @t18 () (or @t17 @t3)) % 0.38/0.60 (define @t19 () (@var "BOUND_VARIABLE_21478" $$unsorted)) % 0.38/0.60 (define @t20 () (lambda (@list @t19) @t19)) % 0.38/0.60 (define @t21 () (_ @t20 @t1)) % 0.38/0.60 (define @t22 () (_ @t20 @t2)) % 0.38/0.60 (define @t23 () (= @t22 @t21)) % 0.38/0.60 (define @t24 () (not @t23)) % 0.38/0.60 (define @t25 () (or @t24 @t3)) % 0.38/0.60 (define @t26 () (forall @t8 @t25)) % 0.38/0.60 (define @t27 () (not @t26)) % 0.38/0.60 (assume @p1 @t12) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule bool-double-not-elim :args (@t16)) % 0.38/0.60 (step @p4 :rule exists-elim :args ((= (exists @t10 @t15) (not @t16)))) % 0.38/0.60 (step @p5 :rule refl :args (@t3)) % 0.38/0.60 (step @p6 :rule refl :args (@t13)) % 0.38/0.60 (step @p7 :rule refl :args (@t5)) % 0.38/0.60 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t5 @t13))) % 0.38/0.60 (step @p9 :rule symm :premises (@p8)) % 0.38/0.60 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.38/0.60 (step @p11 :rule refl :args (@t14)) % 0.38/0.60 (step @p12 :rule refl :args (@t6)) % 0.38/0.60 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t6 @t14))) % 0.38/0.60 (step @p14 :rule symm :premises (@p13)) % 0.38/0.60 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.38/0.60 (step @p16 :rule cong :premises (@p15 @p10) :args (@t7)) % 0.38/0.60 (step @p17 :rule cong :premises (@p16) :args (@t17)) % 0.38/0.60 (step @p18 :rule nary_cong :premises (@p17 @p5) :args (@t18)) % 0.38/0.60 (step @p19 :rule cong :premises (@p18) :args ((forall @t8 @t18))) % 0.38/0.60 (step @p20 :rule bool-impl-elim :args (@t7 @t3)) % 0.38/0.60 (step @p21 :rule cong :premises (@p20) :args (@t9)) % 0.38/0.60 (step @p22 :rule trans :premises (@p21 @p19)) % 0.38/0.60 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 0.38/0.60 (step @p24 :rule trans :premises (@p23 @p4)) % 0.38/0.60 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 0.38/0.60 (step @p26 :rule trans :premises (@p25 @p3)) % 0.38/0.60 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.38/0.60 (step @p28 :rule bool-impl-false1 :args (@t16)) % 0.38/0.60 (step @p29 :rule evaluate :args ((not true))) % 0.38/0.60 (step @p30 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 0.38/0.60 (step @p31 :rule bool-or-taut2 :args (false @t3 false false)) % 0.38/0.60 (step @p32 :rule cong :premises (@p31) :args ((forall @t8 (or (not @t3) @t3)))) % 0.38/0.60 (step @p33 :rule trans :premises (@p32 @p30)) % 0.38/0.60 (step @p34 :rule refl :args (@t3)) % 0.38/0.60 (step @p35 :rule beta-reduce :args ((= @t21 @t1))) % 0.38/0.60 (step @p36 :rule beta-reduce :args ((= @t22 @t2))) % 0.38/0.60 (step @p37 :rule cong :premises (@p36 @p35) :args (@t23)) % 0.38/0.60 (step @p38 :rule cong :premises (@p37) :args (@t24)) % 0.38/0.60 (step @p39 :rule nary_cong :premises (@p38 @p34) :args (@t25)) % 0.38/0.60 (step @p40 :rule cong :premises (@p39) :args (@t26)) % 0.38/0.60 (step @p41 :rule trans :premises (@p40 @p33)) % 0.38/0.60 (step @p42 :rule cong :premises (@p41) :args (@t27)) % 0.38/0.60 (step @p43 :rule trans :premises (@p42 @p29)) % 0.38/0.60 (step @p44 :rule refl :args (@t16)) % 0.38/0.60 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t16 @t27))) % 0.38/0.60 (step @p46 :rule trans :premises (@p45 @p28)) % 0.38/0.60 (assume-push @p53 @t16) % 0.38/0.60 (step @p48 :rule instantiate :premises (@p27) :args ((@list @t20))) % 0.38/0.60 (step-pop @p54 :rule scope :premises (@p48)) % 0.38/0.60 (step @p49 :rule process_scope :premises (@p54) :args (@t27)) % 0.38/0.60 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.38/0.60 (step @p52 false :rule chain_m_resolution :premises (@p51 @p27) :args (false (@list false) (@list @t16))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------