%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV048^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:55:22 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV048^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n008.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:10:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.36/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (define @t1 () (@var "Xz" (-> $$unsorted Bool))) % 0.36/0.61 (define @t2 () (@var "Xx" (-> $$unsorted Bool))) % 0.36/0.61 (define @t3 () (@var "R" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))) % 0.36/0.61 (define @t4 () (_ @t3 @t2)) % 0.36/0.61 (define @t5 () (_ @t4 @t1)) % 0.36/0.61 (define @t6 () (@var "Xy" (-> $$unsorted Bool))) % 0.36/0.61 (define @t7 () (_ (_ @t3 @t6) @t1)) % 0.36/0.61 (define @t8 () (_ @t4 @t6)) % 0.36/0.61 (define @t9 () (and @t8 @t7)) % 0.36/0.61 (define @t10 () (@list @t2 @t6 @t1)) % 0.36/0.61 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.36/0.61 (define @t12 () (@list @t3)) % 0.36/0.61 (define @t13 () (exists @t12 @t11)) % 0.36/0.61 (define @t14 () (not @t13)) % 0.36/0.61 (define @t15 () (_ @t3 @t2 @t1)) % 0.36/0.61 (define @t16 () (_ @t3 @t6 @t1)) % 0.36/0.61 (define @t17 () (_ @t3 @t2 @t6)) % 0.36/0.61 (define @t18 () (forall @t10 (or (not @t17) (not @t16) @t15))) % 0.36/0.61 (define @t19 () (forall @t12 (not @t18))) % 0.36/0.61 (define @t20 () (not @t7)) % 0.36/0.61 (define @t21 () (not @t8)) % 0.36/0.61 (define @t22 () (or @t21 @t20 @t5)) % 0.36/0.61 (define @t23 () (lambda (@list (@var "BOUND_VARIABLE_14522" (-> $$unsorted Bool)) (@var "BOUND_VARIABLE_14523" (-> $$unsorted Bool))) true)) % 0.36/0.61 (define @t24 () (_ @t23 @t2 @t1)) % 0.36/0.61 (define @t25 () (_ @t23 @t6 @t1)) % 0.36/0.61 (define @t26 () (not @t25)) % 0.36/0.61 (define @t27 () (_ @t23 @t2 @t6)) % 0.36/0.61 (define @t28 () (not @t27)) % 0.36/0.61 (define @t29 () (or @t28 @t26 @t24)) % 0.36/0.61 (define @t30 () (forall @t10 @t29)) % 0.36/0.61 (define @t31 () (not @t30)) % 0.36/0.61 (assume @p1 @t14) % 0.36/0.61 (assume @p2 true) % 0.36/0.61 (step @p3 :rule bool-double-not-elim :args (@t19)) % 0.36/0.61 (step @p4 :rule exists-elim :args ((= (exists @t12 @t18) (not @t19)))) % 0.36/0.61 (step @p5 :rule refl :args (@t15)) % 0.36/0.61 (step @p6 :rule refl :args (@t5)) % 0.36/0.61 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t5 @t15))) % 0.36/0.61 (step @p8 :rule symm :premises (@p7)) % 0.36/0.61 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.36/0.61 (step @p10 :rule refl :args (@t16)) % 0.36/0.61 (step @p11 :rule refl :args (@t7)) % 0.36/0.61 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t7 @t16))) % 0.36/0.61 (step @p13 :rule symm :premises (@p12)) % 0.36/0.61 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.36/0.61 (step @p15 :rule cong :premises (@p14) :args (@t20)) % 0.36/0.61 (step @p16 :rule refl :args (@t17)) % 0.36/0.61 (step @p17 :rule refl :args (@t8)) % 0.36/0.61 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t8 @t17))) % 0.36/0.61 (step @p19 :rule symm :premises (@p18)) % 0.36/0.61 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.36/0.61 (step @p21 :rule cong :premises (@p20) :args (@t21)) % 0.36/0.61 (step @p22 :rule nary_cong :premises (@p21 @p15 @p9) :args (@t22)) % 0.36/0.61 (step @p23 :rule cong :premises (@p22) :args ((forall @t10 @t22))) % 0.36/0.61 (step @p24 :rule aci_norm :args ((= (or (or @t21 @t20) @t5) @t22))) % 0.36/0.61 (step @p25 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.36/0.61 (step @p26 :rule nary_cong :premises (@p25 @p6) :args ((or (not @t9) @t5))) % 0.36/0.61 (step @p27 :rule trans :premises (@p26 @p24)) % 0.36/0.61 (step @p28 :rule bool-impl-elim :args (@t9 @t5)) % 0.36/0.61 (step @p29 :rule trans :premises (@p28 @p27)) % 0.36/0.61 (step @p30 :rule cong :premises (@p29) :args (@t11)) % 0.36/0.61 (step @p31 :rule trans :premises (@p30 @p23)) % 0.36/0.61 (step @p32 :rule cong :premises (@p31) :args (@t13)) % 0.36/0.61 (step @p33 :rule trans :premises (@p32 @p4)) % 0.36/0.61 (step @p34 :rule cong :premises (@p33) :args (@t14)) % 0.36/0.61 (step @p35 :rule trans :premises (@p34 @p3)) % 0.36/0.61 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.36/0.61 (step @p37 :rule bool-impl-false1 :args (@t19)) % 0.36/0.61 (step @p38 :rule evaluate :args ((not true))) % 0.36/0.61 (step @p39 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.36/0.61 (step @p40 :rule evaluate :args ((or false false true))) % 0.36/0.61 (step @p41 :rule beta-reduce :args ((= @t24 true))) % 0.36/0.61 (step @p42 :rule beta-reduce :args ((= @t25 true))) % 0.36/0.61 (step @p43 :rule cong :premises (@p42) :args (@t26)) % 0.36/0.61 (step @p44 :rule trans :premises (@p43 @p38)) % 0.36/0.61 (step @p45 :rule beta-reduce :args ((= @t27 true))) % 0.36/0.61 (step @p46 :rule cong :premises (@p45) :args (@t28)) % 0.36/0.61 (step @p47 :rule trans :premises (@p46 @p38)) % 0.36/0.61 (step @p48 :rule nary_cong :premises (@p47 @p44 @p41) :args (@t29)) % 0.36/0.61 (step @p49 :rule trans :premises (@p48 @p40)) % 0.36/0.61 (step @p50 :rule cong :premises (@p49) :args (@t30)) % 0.36/0.61 (step @p51 :rule trans :premises (@p50 @p39)) % 0.36/0.61 (step @p52 :rule cong :premises (@p51) :args (@t31)) % 0.36/0.61 (step @p53 :rule trans :premises (@p52 @p38)) % 0.36/0.61 (step @p54 :rule refl :args (@t19)) % 0.36/0.61 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t19 @t31))) % 0.36/0.61 (step @p56 :rule trans :premises (@p55 @p37)) % 0.36/0.61 (assume-push @p63 @t19) % 0.36/0.61 (step @p58 :rule instantiate :premises (@p36) :args ((@list @t23))) % 0.36/0.61 (step-pop @p64 :rule scope :premises (@p58)) % 0.36/0.61 (step @p59 :rule process_scope :premises (@p64) :args (@t31)) % 0.36/0.61 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.36/0.61 (step @p62 false :rule chain_m_resolution :premises (@p61 @p36) :args (false (@list false) (@list @t19))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------