%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO298^5 : 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 : 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 09:12:23 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO298^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.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 : Wed Jun 3 00:02:37 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.48 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.p (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.q (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "L" $$unsorted)) % 0.36/0.57 (define @t3 () (_ (_ tptp.q @t2) @t1)) % 0.36/0.57 (define @t4 () (@var "Xz" $$unsorted)) % 0.36/0.57 (define @t5 () (_ (_ tptp.p @t4) @t1)) % 0.36/0.57 (define @t6 () (and @t5 @t3)) % 0.36/0.57 (define @t7 () (@var "A" (-> $$unsorted Bool))) % 0.36/0.57 (define @t8 () (_ @t7 @t4)) % 0.36/0.57 (define @t9 () (@list @t4)) % 0.36/0.57 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.36/0.57 (define @t11 () (@list @t1)) % 0.36/0.57 (define @t12 () (exists @t11 @t10)) % 0.36/0.57 (define @t13 () (@list @t2)) % 0.36/0.57 (define @t14 () (forall @t13 @t12)) % 0.36/0.57 (define @t15 () (@list @t7)) % 0.36/0.57 (define @t16 () (exists @t15 @t14)) % 0.36/0.57 (define @t17 () (not @t16)) % 0.36/0.57 (define @t18 () (tptp.q @t2 @t1)) % 0.36/0.57 (define @t19 () (tptp.p @t4 @t1)) % 0.36/0.57 (define @t20 () (and @t19 @t18)) % 0.36/0.57 (define @t21 () (_ @t7 @t4)) % 0.36/0.57 (define @t22 () (forall @t9 (or (not @t21) @t20))) % 0.36/0.57 (define @t23 () (not (forall @t11 (not @t22)))) % 0.36/0.57 (define @t24 () (forall @t13 @t23)) % 0.36/0.57 (define @t25 () (forall @t15 (not @t24))) % 0.36/0.57 (define @t26 () (not @t8)) % 0.36/0.57 (define @t27 () (or @t26 @t6)) % 0.36/0.57 (define @t28 () (lambda (@list (@var "BOUND_VARIABLE_14533" $$unsorted)) false)) % 0.36/0.57 (define @t29 () (_ @t28 @t4)) % 0.36/0.57 (define @t30 () (not @t29)) % 0.36/0.57 (define @t31 () (or @t30 @t20)) % 0.36/0.57 (define @t32 () (forall @t9 @t31)) % 0.36/0.57 (define @t33 () (not @t32)) % 0.36/0.57 (define @t34 () (forall @t11 @t33)) % 0.36/0.57 (define @t35 () (not @t34)) % 0.36/0.57 (define @t36 () (forall @t13 @t35)) % 0.36/0.57 (define @t37 () (not @t36)) % 0.36/0.57 (assume @p1 @t17) % 0.36/0.57 (assume @p2 true) % 0.36/0.57 (step @p3 :rule bool-double-not-elim :args (@t25)) % 0.36/0.57 (step @p4 :rule exists-elim :args ((= (exists @t15 @t24) (not @t25)))) % 0.36/0.57 (step @p5 :rule exists-elim :args ((= (exists @t11 @t22) @t23))) % 0.36/0.57 (step @p6 :rule refl :args (@t18)) % 0.36/0.57 (step @p7 :rule refl :args (@t3)) % 0.36/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t3 @t18))) % 0.36/0.57 (step @p9 :rule symm :premises (@p8)) % 0.36/0.57 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.36/0.57 (step @p11 :rule refl :args (@t19)) % 0.36/0.57 (step @p12 :rule refl :args (@t5)) % 0.36/0.57 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t5 @t19))) % 0.36/0.57 (step @p14 :rule symm :premises (@p13)) % 0.36/0.57 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.36/0.57 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t6)) % 0.36/0.57 (step @p17 :rule refl :args (@t21)) % 0.36/0.57 (step @p18 :rule refl :args (@t8)) % 0.36/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t8 @t21))) % 0.36/0.57 (step @p20 :rule symm :premises (@p19)) % 0.36/0.57 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.36/0.57 (step @p22 :rule cong :premises (@p21) :args (@t26)) % 0.36/0.57 (step @p23 :rule nary_cong :premises (@p22 @p16) :args (@t27)) % 0.36/0.57 (step @p24 :rule cong :premises (@p23) :args ((forall @t9 @t27))) % 0.36/0.57 (step @p25 :rule bool-impl-elim :args (@t8 @t6)) % 0.36/0.57 (step @p26 :rule cong :premises (@p25) :args (@t10)) % 0.36/0.57 (step @p27 :rule trans :premises (@p26 @p24)) % 0.36/0.57 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 0.36/0.57 (step @p29 :rule trans :premises (@p28 @p5)) % 0.36/0.57 (step @p30 :rule cong :premises (@p29) :args (@t14)) % 0.36/0.57 (step @p31 :rule cong :premises (@p30) :args (@t16)) % 0.36/0.57 (step @p32 :rule trans :premises (@p31 @p4)) % 0.36/0.57 (step @p33 :rule cong :premises (@p32) :args (@t17)) % 0.36/0.57 (step @p34 :rule trans :premises (@p33 @p3)) % 0.36/0.57 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.36/0.57 (step @p36 :rule bool-impl-false1 :args (@t25)) % 0.36/0.57 (step @p37 :rule evaluate :args ((not true))) % 0.36/0.57 (step @p38 :rule quant-unused-vars :args ((= (forall @t13 true) true))) % 0.36/0.57 (step @p39 :rule evaluate :args ((not false))) % 0.36/0.57 (step @p40 :rule quant-unused-vars :args ((= (forall @t11 false) false))) % 0.36/0.57 (step @p41 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.36/0.57 (step @p42 :rule absorb :args ((= (or true @t20) true))) % 0.36/0.57 (step @p43 :rule refl :args (@t20)) % 0.36/0.57 (step @p44 :rule beta-reduce :args ((= @t29 false))) % 0.36/0.57 (step @p45 :rule cong :premises (@p44) :args (@t30)) % 0.36/0.57 (step @p46 :rule trans :premises (@p45 @p39)) % 0.36/0.57 (step @p47 :rule nary_cong :premises (@p46 @p43) :args (@t31)) % 0.36/0.57 (step @p48 :rule trans :premises (@p47 @p42)) % 0.36/0.57 (step @p49 :rule cong :premises (@p48) :args (@t32)) % 0.36/0.58 (step @p50 :rule trans :premises (@p49 @p41)) % 0.36/0.58 (step @p51 :rule cong :premises (@p50) :args (@t33)) % 0.36/0.58 (step @p52 :rule trans :premises (@p51 @p37)) % 0.36/0.58 (step @p53 :rule cong :premises (@p52) :args (@t34)) % 0.36/0.58 (step @p54 :rule trans :premises (@p53 @p40)) % 0.36/0.58 (step @p55 :rule cong :premises (@p54) :args (@t35)) % 0.36/0.58 (step @p56 :rule trans :premises (@p55 @p39)) % 0.36/0.58 (step @p57 :rule cong :premises (@p56) :args (@t36)) % 0.36/0.58 (step @p58 :rule trans :premises (@p57 @p38)) % 0.36/0.58 (step @p59 :rule cong :premises (@p58) :args (@t37)) % 0.36/0.58 (step @p60 :rule trans :premises (@p59 @p37)) % 0.36/0.58 (step @p61 :rule refl :args (@t25)) % 0.36/0.58 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t25 @t37))) % 0.36/0.58 (step @p63 :rule trans :premises (@p62 @p36)) % 0.36/0.58 (assume-push @p70 @t25) % 0.36/0.58 (step @p65 :rule instantiate :premises (@p35) :args ((@list @t28))) % 0.36/0.58 (step-pop @p71 :rule scope :premises (@p65)) % 0.36/0.58 (step @p66 :rule process_scope :premises (@p71) :args (@t37)) % 0.36/0.58 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.36/0.58 (step @p69 false :rule chain_m_resolution :premises (@p68 @p35) :args (false (@list false) (@list @t25))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------