%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO303^5 : 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 : n025.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 09:12:24 AM UTC 2026 % Result : Theorem 0.31s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO303^5 : 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 % 0.17/0.35 % Computer : n025.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 : Wed Jun 3 00:03:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.31/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.56 % SZS status Theorem % 0.31/0.56 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-sort $$unsorted 0) % 0.31/0.56 (declare-const tptp.c0 $$unsorted) % 0.31/0.56 (declare-const tptp.cT (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.a $$unsorted) % 0.31/0.56 (declare-const tptp.cS (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.b $$unsorted) % 0.31/0.56 (define @t1 () (_ tptp.cS tptp.b)) % 0.31/0.56 (define @t2 () (_ tptp.cT tptp.a)) % 0.31/0.56 (define @t3 () (and @t2 @t1)) % 0.31/0.56 (define @t4 () (_ tptp.cT tptp.c0)) % 0.31/0.56 (define @t5 () (_ tptp.cS tptp.c0)) % 0.31/0.56 (define @t6 () (and @t5 @t4)) % 0.31/0.56 (define @t7 () (not @t6)) % 0.31/0.56 (define @t8 () (or @t7 @t3)) % 0.31/0.56 (define @t9 () (@var "Xx" $$unsorted)) % 0.31/0.56 (define @t10 () (@var "P" (-> $$unsorted Bool))) % 0.31/0.56 (define @t11 () (_ @t10 @t9)) % 0.31/0.56 (define @t12 () (@list @t9)) % 0.31/0.56 (define @t13 () (forall @t12 @t11)) % 0.31/0.56 (define @t14 () (_ @t10 tptp.c0)) % 0.31/0.56 (define @t15 () (not @t14)) % 0.31/0.56 (define @t16 () (or @t15 @t13)) % 0.31/0.56 (define @t17 () (@list @t10)) % 0.31/0.56 (define @t18 () (forall @t17 @t16)) % 0.31/0.56 (define @t19 () (=> @t18 @t8)) % 0.31/0.56 (define @t20 () (not @t19)) % 0.31/0.56 (define @t21 () (tptp.cS tptp.b)) % 0.31/0.56 (define @t22 () (tptp.cT tptp.a)) % 0.31/0.56 (define @t23 () (tptp.cT tptp.c0)) % 0.31/0.56 (define @t24 () (tptp.cS tptp.c0)) % 0.31/0.56 (define @t25 () (@var "BOUND_VARIABLE_7440" $$unsorted)) % 0.31/0.56 (define @t26 () (_ @t10 @t25)) % 0.31/0.56 (define @t27 () (_ @t10 tptp.c0)) % 0.31/0.56 (define @t28 () (not @t27)) % 0.31/0.56 (define @t29 () (or @t28 @t26)) % 0.31/0.56 (define @t30 () (forall (@list @t10 @t25) @t29)) % 0.31/0.56 (define @t31 () (=> @t30 @t8)) % 0.31/0.56 (define @t32 () (@list @t25)) % 0.31/0.56 (define @t33 () (forall @t32 @t29)) % 0.31/0.56 (define @t34 () (forall @t32 @t26)) % 0.31/0.56 (define @t35 () (or @t28 @t34)) % 0.31/0.56 (define @t36 () (_ @t10 @t9)) % 0.31/0.56 (define @t37 () (forall @t12 @t36)) % 0.31/0.56 (define @t38 () (or @t15 @t37)) % 0.31/0.56 (define @t39 () (not @t23)) % 0.31/0.56 (define @t40 () (or @t39 @t22)) % 0.31/0.56 (define @t41 () (@list false false)) % 0.31/0.56 (define @t42 () (not @t24)) % 0.31/0.56 (define @t43 () (or @t42 @t21)) % 0.31/0.56 (assume @p1 @t20) % 0.31/0.56 (assume @p2 true) % 0.31/0.56 (step @p3 :rule refl :args (@t21)) % 0.31/0.56 (step @p4 :rule refl :args (@t1)) % 0.31/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t1 @t21))) % 0.31/0.56 (step @p6 :rule symm :premises (@p5)) % 0.31/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.31/0.56 (step @p8 :rule refl :args (@t22)) % 0.31/0.56 (step @p9 :rule refl :args (@t2)) % 0.31/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t2 @t22))) % 0.31/0.56 (step @p11 :rule symm :premises (@p10)) % 0.31/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.31/0.56 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t3)) % 0.31/0.56 (step @p14 :rule refl :args (@t23)) % 0.31/0.56 (step @p15 :rule refl :args (@t4)) % 0.31/0.56 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t4 @t23))) % 0.31/0.56 (step @p17 :rule symm :premises (@p16)) % 0.31/0.56 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.31/0.56 (step @p19 :rule refl :args (@t24)) % 0.31/0.56 (step @p20 :rule refl :args (@t5)) % 0.31/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t5 @t24))) % 0.31/0.56 (step @p22 :rule symm :premises (@p21)) % 0.31/0.56 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.31/0.56 (step @p24 :rule nary_cong :premises (@p23 @p18) :args (@t6)) % 0.31/0.56 (step @p25 :rule cong :premises (@p24) :args (@t7)) % 0.31/0.56 (step @p26 :rule nary_cong :premises (@p25 @p13) :args (@t8)) % 0.31/0.56 (step @p27 :rule refl :args (@t30)) % 0.31/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args (@t31)) % 0.31/0.56 (step @p29 :rule cong :premises (@p28) :args ((not @t31))) % 0.31/0.56 (step @p30 :rule refl :args (@t8)) % 0.31/0.56 (step @p31 :rule quant-merge-prenex :args ((= (forall @t17 @t33) @t30))) % 0.31/0.56 (step @p32 :rule alpha_equiv :args (@t34 (@list @t25) (@list @t9))) % 0.31/0.56 (step @p33 :rule refl :args (@t28)) % 0.31/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t35)) % 0.31/0.56 (step @p35 :rule quant-miniscope-or :args ((= @t33 @t35))) % 0.31/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.31/0.56 (step @p37 :rule symm :premises (@p36)) % 0.31/0.56 (step @p38 :rule cong :premises (@p37) :args ((forall @t17 (or @t28 @t37)))) % 0.31/0.56 (step @p39 :rule trans :premises (@p38 @p31)) % 0.31/0.56 (step @p40 :rule refl :args (@t37)) % 0.31/0.56 (step @p41 :rule refl :args (@t27)) % 0.31/0.56 (step @p42 :rule refl :args (@t14)) % 0.31/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t14 @t27))) % 0.31/0.56 (step @p44 :rule symm :premises (@p43)) % 0.31/0.56 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.31/0.56 (step @p46 :rule cong :premises (@p45) :args (@t15)) % 0.31/0.56 (step @p47 :rule nary_cong :premises (@p46 @p40) :args (@t38)) % 0.40/0.57 (step @p48 :rule cong :premises (@p47) :args ((forall @t17 @t38))) % 0.40/0.57 (step @p49 :rule trans :premises (@p48 @p39)) % 0.40/0.57 (step @p50 :rule refl :args (@t36)) % 0.40/0.57 (step @p51 :rule refl :args (@t11)) % 0.40/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t11 @t36))) % 0.40/0.57 (step @p53 :rule symm :premises (@p52)) % 0.40/0.57 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.40/0.57 (step @p55 :rule cong :premises (@p54) :args (@t13)) % 0.40/0.57 (step @p56 :rule refl :args (@t15)) % 0.40/0.57 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t16)) % 0.40/0.57 (step @p58 :rule cong :premises (@p57) :args (@t18)) % 0.40/0.57 (step @p59 :rule trans :premises (@p58 @p49)) % 0.40/0.57 (step @p60 :rule cong :premises (@p59 @p30) :args (@t19)) % 0.40/0.57 (step @p61 :rule cong :premises (@p60) :args (@t20)) % 0.40/0.57 (step @p62 :rule trans :premises (@p61 @p29)) % 0.40/0.57 (step @p63 :rule eq_resolve :premises (@p1 @p62)) % 0.40/0.57 (step @p64 :rule not_implies_elim1 :premises (@p63)) % 0.40/0.57 (step @p65 :rule instantiate :premises (@p64) :args ((@list tptp.cT tptp.a))) % 0.40/0.57 (step @p66 :rule not_implies_elim2 :premises (@p63)) % 0.40/0.57 (step @p67 :rule not_or_elim :premises (@p66) :args (0)) % 0.40/0.57 (step @p68 :rule not_not_elim :premises (@p67)) % 0.40/0.57 (step @p69 :rule and_elim :premises (@p68) :args (1)) % 0.40/0.57 (step @p70 :rule cnf_or_pos :args (@t40)) % 0.40/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t22 @t39 (not @t40)))) % 0.40/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p65) :args (@t22 @t41 (@list @t23 @t40))) % 0.40/0.57 (step @p73 :rule instantiate :premises (@p64) :args ((@list tptp.cS tptp.b))) % 0.40/0.57 (step @p74 :rule and_elim :premises (@p68) :args (0)) % 0.40/0.57 (step @p75 :rule cnf_or_pos :args (@t43)) % 0.40/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t21 @t42 (not @t43)))) % 0.40/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p73) :args (@t21 @t41 (@list @t24 @t43))) % 0.40/0.57 (step @p78 :rule not_or_elim :premises (@p66) :args (1)) % 0.40/0.57 (step @p79 :rule not_and :premises (@p78)) % 0.40/0.57 (step @p80 false :rule chain_m_resolution :premises (@p79 @p77 @p72) :args (false @t41 (@list @t21 @t22))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------