%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO143^5 : 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 : n011.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 09:12:06 AM UTC 2026 % Result : Theorem 0.37s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYO143^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n011.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:59:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.25/0.50 %----Proving TH0 % 0.37/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.55 % SZS status Theorem % 0.37/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort $$unsorted 0) % 0.37/0.55 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.37/0.55 (define @t1 () (@var "Xz" $$unsorted)) % 0.37/0.55 (define @t2 () (_ tptp.cQ @t1)) % 0.37/0.55 (define @t3 () (@list @t1)) % 0.37/0.55 (define @t4 () (exists @t3 @t2)) % 0.37/0.55 (define @t5 () (@var "Xx" $$unsorted)) % 0.37/0.55 (define @t6 () (_ tptp.cP @t5)) % 0.37/0.55 (define @t7 () (@var "Xy" $$unsorted)) % 0.37/0.55 (define @t8 () (_ tptp.cP @t7)) % 0.37/0.55 (define @t9 () (@list @t5)) % 0.37/0.55 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.37/0.55 (define @t11 () (@list @t7)) % 0.37/0.55 (define @t12 () (exists @t11 @t10)) % 0.37/0.55 (define @t13 () (not @t12)) % 0.37/0.55 (define @t14 () (or @t13 @t4)) % 0.37/0.55 (define @t15 () (=> @t14 @t4)) % 0.37/0.55 (define @t16 () (not @t15)) % 0.37/0.55 (define @t17 () (tptp.cQ @t1)) % 0.37/0.55 (define @t18 () (not @t2)) % 0.37/0.55 (define @t19 () (forall @t3 @t18)) % 0.37/0.55 (define @t20 () (not @t19)) % 0.37/0.55 (define @t21 () (tptp.cP @t5)) % 0.37/0.55 (define @t22 () (forall @t9 @t21)) % 0.37/0.55 (define @t23 () (not @t22)) % 0.37/0.55 (define @t24 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.37/0.55 (define @t25 () (tptp.cP @t24)) % 0.37/0.55 (define @t26 () (@list @t24)) % 0.37/0.55 (define @t27 () (forall @t26 @t25)) % 0.37/0.55 (define @t28 () (and @t27 @t23)) % 0.37/0.55 (define @t29 () (_ tptp.cP @t24)) % 0.37/0.55 (define @t30 () (forall @t26 @t29)) % 0.37/0.55 (define @t31 () (forall @t11 @t23)) % 0.37/0.55 (define @t32 () (forall @t11 @t8)) % 0.37/0.55 (define @t33 () (@list @t24)) % 0.37/0.55 (define @t34 () (and @t32 @t31)) % 0.37/0.55 (define @t35 () (not @t8)) % 0.37/0.55 (define @t36 () (or @t35 @t22)) % 0.37/0.55 (define @t37 () (forall @t11 (not @t36))) % 0.37/0.55 (define @t38 () (not @t37)) % 0.37/0.55 (define @t39 () (forall @t9 @t6)) % 0.37/0.55 (define @t40 () (or @t35 @t39)) % 0.37/0.55 (define @t41 () (@list false)) % 0.37/0.55 (define @t42 () (not @t28)) % 0.37/0.55 (define @t43 () (@list @t28)) % 0.37/0.55 (assume @p1 @t16) % 0.37/0.55 (assume @p2 true) % 0.37/0.55 (step @p3 :rule refl :args (@t17)) % 0.37/0.55 (step @p4 :rule refl :args (@t2)) % 0.37/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t17))) % 0.37/0.55 (step @p6 :rule symm :premises (@p5)) % 0.37/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.37/0.55 (step @p8 :rule cong :premises (@p7) :args (@t18)) % 0.37/0.55 (step @p9 :rule cong :premises (@p8) :args (@t19)) % 0.37/0.55 (step @p10 :rule cong :premises (@p9) :args (@t20)) % 0.37/0.55 (step @p11 :rule exists-elim :args ((= @t4 @t20))) % 0.37/0.55 (step @p12 :rule trans :premises (@p11 @p10)) % 0.37/0.55 (step @p13 :rule bool-double-not-elim :args (@t28)) % 0.37/0.55 (step @p14 :rule refl :args (@t23)) % 0.37/0.55 (step @p15 :rule refl :args (@t25)) % 0.37/0.55 (step @p16 :rule refl :args (@t29)) % 0.37/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t29 @t25))) % 0.37/0.55 (step @p18 :rule symm :premises (@p17)) % 0.37/0.55 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.37/0.55 (step @p20 :rule cong :premises (@p19) :args (@t30)) % 0.37/0.55 (step @p21 :rule nary_cong :premises (@p20 @p14) :args ((and @t30 @t23))) % 0.37/0.55 (step @p22 :rule quant-unused-vars :args ((= @t31 @t23))) % 0.37/0.55 (step @p23 :rule alpha_equiv :args (@t32 (@list @t7) @t33)) % 0.37/0.55 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t34)) % 0.37/0.55 (step @p25 :rule quant-miniscope-and :args ((= (forall @t11 (and @t8 @t23)) @t34))) % 0.37/0.55 (step @p26 :rule trans :premises (@p25 @p24)) % 0.37/0.55 (step @p27 :rule trans :premises (@p26 @p21)) % 0.37/0.55 (step @p28 :rule refl :args (@t23)) % 0.37/0.55 (step @p29 :rule bool-double-not-elim :args (@t8)) % 0.37/0.55 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((and (not @t35) @t23))) % 0.37/0.55 (step @p31 :rule bool-or-de-morgan :args (@t35 @t22 false)) % 0.37/0.55 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.55 (step @p33 :rule cong :premises (@p32) :args (@t37)) % 0.37/0.55 (step @p34 :rule trans :premises (@p33 @p27)) % 0.37/0.55 (step @p35 :rule cong :premises (@p34) :args (@t38)) % 0.37/0.55 (step @p36 :rule exists-elim :args ((= (exists @t11 @t36) @t38))) % 0.37/0.55 (step @p37 :rule trans :premises (@p36 @p35)) % 0.37/0.55 (step @p38 :rule refl :args (@t21)) % 0.37/0.55 (step @p39 :rule refl :args (@t6)) % 0.37/0.55 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t6 @t21))) % 0.37/0.55 (step @p41 :rule symm :premises (@p40)) % 0.37/0.55 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.37/0.55 (step @p43 :rule cong :premises (@p42) :args (@t39)) % 0.37/0.55 (step @p44 :rule refl :args (@t35)) % 0.37/0.55 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t40)) % 0.37/0.55 (step @p46 :rule quant-miniscope-or :args ((= (forall @t9 (or @t35 @t6)) @t40))) % 0.37/0.55 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.55 (step @p48 :rule bool-impl-elim :args (@t8 @t6)) % 0.37/0.56 (step @p49 :rule cong :premises (@p48) :args (@t10)) % 0.37/0.56 (step @p50 :rule trans :premises (@p49 @p47)) % 0.37/0.56 (step @p51 :rule cong :premises (@p50) :args (@t12)) % 0.37/0.56 (step @p52 :rule trans :premises (@p51 @p37)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52) :args (@t13)) % 0.37/0.56 (step @p54 :rule trans :premises (@p53 @p13)) % 0.37/0.56 (step @p55 :rule nary_cong :premises (@p54 @p12) :args (@t14)) % 0.37/0.56 (step @p56 :rule cong :premises (@p55 @p12) :args (@t15)) % 0.37/0.56 (step @p57 :rule cong :premises (@p56) :args (@t16)) % 0.37/0.56 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.37/0.56 (step @p59 :rule not_implies_elim2 :premises (@p58)) % 0.37/0.56 (step @p60 :rule not_not_elim :premises (@p59)) % 0.37/0.56 (step @p61 :rule not_implies_elim1 :premises (@p58)) % 0.37/0.56 (step @p62 :rule chain_m_resolution :premises (@p61 @p60) :args (@t28 @t41 (@list (forall @t3 (not @t17))))) % 0.37/0.56 (step @p63 :rule cnf_and_pos :args (@t28 0)) % 0.37/0.56 (step @p64 :rule reordering :premises (@p63) :args ((or @t27 @t42))) % 0.37/0.56 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args (@t27 @t41 @t43)) % 0.37/0.56 (step @p66 :rule cnf_and_pos :args (@t28 1)) % 0.37/0.56 (step @p67 :rule reordering :premises (@p66) :args ((or @t23 @t42))) % 0.37/0.56 (step @p68 :rule chain_m_resolution :premises (@p67 @p62) :args (@t23 @t41 @t43)) % 0.37/0.56 (step @p69 :rule alpha_equiv :args (@t27 @t33 (@list @t5))) % 0.37/0.56 (step @p70 :rule symm :premises (@p69)) % 0.37/0.56 (step @p71 :rule equiv_elim2 :premises (@p70)) % 0.37/0.56 (step @p72 false :rule chain_m_resolution :premises (@p71 @p68 @p65) :args (false (@list true false) (@list @t22 @t27))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------