%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO094^5 : 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 : n020.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 09:12:02 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO094^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:58:56 EDT 2026 % 0.17/0.36 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.40/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort $$unsorted 0) % 0.40/0.57 (declare-const tptp.cR (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (define @t1 () (@var "V" $$unsorted)) % 0.40/0.57 (define @t2 () (_ (_ tptp.cR @t1) @t1)) % 0.40/0.57 (define @t3 () (@var "U" $$unsorted)) % 0.40/0.57 (define @t4 () (_ (_ tptp.cR @t3) @t3)) % 0.40/0.57 (define @t5 () (@list @t1)) % 0.40/0.57 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.40/0.57 (define @t7 () (@list @t3)) % 0.40/0.57 (define @t8 () (exists @t7 @t6)) % 0.40/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.40/0.57 (define @t10 () (_ (_ tptp.cR @t9) @t9)) % 0.40/0.57 (define @t11 () (@list @t9)) % 0.40/0.57 (define @t12 () (forall @t11 @t10)) % 0.40/0.57 (define @t13 () (@var "X" $$unsorted)) % 0.40/0.57 (define @t14 () (_ (_ tptp.cR @t13) @t13)) % 0.40/0.57 (define @t15 () (@list @t13)) % 0.40/0.57 (define @t16 () (exists @t15 @t14)) % 0.40/0.57 (define @t17 () (=> @t16 @t12)) % 0.40/0.57 (define @t18 () (=> @t17 @t8)) % 0.40/0.57 (define @t19 () (not @t18)) % 0.40/0.57 (define @t20 () (tptp.cR @t1 @t1)) % 0.40/0.57 (define @t21 () (forall @t5 @t20)) % 0.40/0.57 (define @t22 () (not @t21)) % 0.40/0.57 (define @t23 () (@var "BOUND_VARIABLE_7458" $$unsorted)) % 0.40/0.57 (define @t24 () (tptp.cR @t23 @t23)) % 0.40/0.57 (define @t25 () (_ (_ tptp.cR @t23) @t23)) % 0.40/0.57 (define @t26 () (@list @t23)) % 0.40/0.57 (define @t27 () (forall @t26 @t25)) % 0.40/0.57 (define @t28 () (forall @t7 @t22)) % 0.40/0.57 (define @t29 () (forall @t7 @t4)) % 0.40/0.57 (define @t30 () (@list @t23)) % 0.40/0.57 (define @t31 () (and @t29 @t28)) % 0.40/0.57 (define @t32 () (not @t4)) % 0.40/0.57 (define @t33 () (or @t32 @t21)) % 0.40/0.57 (define @t34 () (forall @t7 (not @t33))) % 0.40/0.57 (define @t35 () (not @t34)) % 0.40/0.57 (define @t36 () (forall @t5 @t2)) % 0.40/0.57 (define @t37 () (or @t32 @t36)) % 0.40/0.57 (define @t38 () (tptp.cR @t9 @t9)) % 0.40/0.57 (define @t39 () (tptp.cR @t13 @t13)) % 0.40/0.57 (define @t40 () (not @t14)) % 0.40/0.57 (define @t41 () (forall @t15 @t40)) % 0.40/0.57 (define @t42 () (not @t41)) % 0.40/0.57 (define @t43 () (forall @t11 @t38)) % 0.40/0.57 (define @t44 () (@list @t9)) % 0.40/0.57 (define @t45 () (@list false)) % 0.40/0.57 (assume @p1 @t19) % 0.40/0.57 (assume @p2 true) % 0.40/0.57 (step @p3 :rule refl :args (@t22)) % 0.40/0.57 (step @p4 :rule refl :args (@t24)) % 0.40/0.57 (step @p5 :rule refl :args (@t25)) % 0.40/0.57 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t25 @t24))) % 0.40/0.57 (step @p7 :rule symm :premises (@p6)) % 0.40/0.57 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.40/0.57 (step @p9 :rule cong :premises (@p8) :args (@t27)) % 0.40/0.57 (step @p10 :rule nary_cong :premises (@p9 @p3) :args ((and @t27 @t22))) % 0.40/0.57 (step @p11 :rule quant-unused-vars :args ((= @t28 @t22))) % 0.40/0.57 (step @p12 :rule alpha_equiv :args (@t29 (@list @t3) @t30)) % 0.40/0.57 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t31)) % 0.40/0.57 (step @p14 :rule quant-miniscope-and :args ((= (forall @t7 (and @t4 @t22)) @t31))) % 0.40/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.40/0.57 (step @p16 :rule trans :premises (@p15 @p10)) % 0.40/0.57 (step @p17 :rule refl :args (@t22)) % 0.40/0.57 (step @p18 :rule bool-double-not-elim :args (@t4)) % 0.40/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((and (not @t32) @t22))) % 0.40/0.57 (step @p20 :rule bool-or-de-morgan :args (@t32 @t21 false)) % 0.40/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.40/0.57 (step @p22 :rule cong :premises (@p21) :args (@t34)) % 0.40/0.57 (step @p23 :rule trans :premises (@p22 @p16)) % 0.40/0.57 (step @p24 :rule cong :premises (@p23) :args (@t35)) % 0.40/0.57 (step @p25 :rule exists-elim :args ((= (exists @t7 @t33) @t35))) % 0.40/0.57 (step @p26 :rule trans :premises (@p25 @p24)) % 0.40/0.57 (step @p27 :rule refl :args (@t20)) % 0.40/0.57 (step @p28 :rule refl :args (@t2)) % 0.40/0.57 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t2 @t20))) % 0.40/0.57 (step @p30 :rule symm :premises (@p29)) % 0.40/0.57 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.40/0.57 (step @p32 :rule cong :premises (@p31) :args (@t36)) % 0.40/0.57 (step @p33 :rule refl :args (@t32)) % 0.40/0.57 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t37)) % 0.40/0.57 (step @p35 :rule quant-miniscope-or :args ((= (forall @t5 (or @t32 @t2)) @t37))) % 0.40/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.40/0.57 (step @p37 :rule bool-impl-elim :args (@t4 @t2)) % 0.40/0.57 (step @p38 :rule cong :premises (@p37) :args (@t6)) % 0.40/0.57 (step @p39 :rule trans :premises (@p38 @p36)) % 0.40/0.57 (step @p40 :rule cong :premises (@p39) :args (@t8)) % 0.40/0.57 (step @p41 :rule trans :premises (@p40 @p26)) % 0.40/0.57 (step @p42 :rule refl :args (@t38)) % 0.40/0.57 (step @p43 :rule refl :args (@t10)) % 0.40/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t10 @t38))) % 0.40/0.57 (step @p45 :rule symm :premises (@p44)) % 0.40/0.57 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.40/0.58 (step @p47 :rule cong :premises (@p46) :args (@t12)) % 0.40/0.58 (step @p48 :rule refl :args (@t39)) % 0.40/0.58 (step @p49 :rule refl :args (@t14)) % 0.40/0.58 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t14 @t39))) % 0.40/0.58 (step @p51 :rule symm :premises (@p50)) % 0.40/0.58 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.40/0.58 (step @p53 :rule cong :premises (@p52) :args (@t40)) % 0.40/0.58 (step @p54 :rule cong :premises (@p53) :args (@t41)) % 0.40/0.58 (step @p55 :rule cong :premises (@p54) :args (@t42)) % 0.40/0.58 (step @p56 :rule exists-elim :args ((= @t16 @t42))) % 0.40/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.40/0.58 (step @p58 :rule cong :premises (@p57 @p47) :args (@t17)) % 0.40/0.58 (step @p59 :rule cong :premises (@p58 @p41) :args (@t18)) % 0.40/0.58 (step @p60 :rule cong :premises (@p59) :args (@t19)) % 0.40/0.58 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 0.40/0.58 (step @p62 :rule not_implies_elim2 :premises (@p61)) % 0.40/0.58 (step @p63 :rule not_not_elim :premises (@p62)) % 0.40/0.58 (step @p64 :rule and_elim :premises (@p63) :args (0)) % 0.40/0.58 (step @p65 :rule alpha_equiv :args (@t43 @t44 @t30)) % 0.40/0.58 (step @p66 :rule equiv_elim2 :premises (@p65)) % 0.40/0.58 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t43 @t45 (@list (forall @t26 @t24)))) % 0.40/0.58 (step @p68 :rule alpha_equiv :args (@t43 @t44 (@list @t1))) % 0.40/0.58 (step @p69 :rule equiv_elim1 :premises (@p68)) % 0.40/0.58 (step @p70 :rule reordering :premises (@p69) :args ((or @t21 (not @t43)))) % 0.40/0.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p67) :args (@t21 @t45 (@list @t43))) % 0.40/0.58 (step @p72 :rule and_elim :premises (@p63) :args (1)) % 0.40/0.58 (step @p73 false :rule chain_m_resolution :premises (@p72 @p71) :args (false @t45 (@list @t21))) % 0.40/0.58 ) % 0.40/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------