%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO104^5 : 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 : n014.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 09:12:03 AM UTC 2026 % Result : Theorem 0.31s 0.53s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO104^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n014.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 23:59:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.31/0.53 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.53 % SZS status Theorem % 0.31/0.53 % SZS output start Proof % 0.31/0.53 ( % 0.31/0.53 (declare-sort $$unsorted 0) % 0.31/0.53 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.31/0.53 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.31/0.53 (declare-const tptp.y $$unsorted) % 0.31/0.53 (define @t1 () (@var "Xx" $$unsorted)) % 0.31/0.53 (define @t2 () (_ (_ tptp.cQ @t1) tptp.y)) % 0.31/0.53 (define @t3 () (@list @t1)) % 0.31/0.53 (define @t4 () (forall @t3 @t2)) % 0.31/0.53 (define @t5 () (_ (_ tptp.cP @t1) tptp.y)) % 0.31/0.53 (define @t6 () (forall @t3 @t5)) % 0.31/0.53 (define @t7 () (and @t6 @t4)) % 0.31/0.53 (define @t8 () (= (forall @t3 (and @t5 @t2)) @t7)) % 0.31/0.53 (define @t9 () (not @t8)) % 0.31/0.53 (define @t10 () (@var "BOUND_VARIABLE_7430" $$unsorted)) % 0.31/0.53 (define @t11 () (tptp.cQ @t10 tptp.y)) % 0.31/0.53 (define @t12 () (@list @t10)) % 0.31/0.53 (define @t13 () (forall @t12 @t11)) % 0.31/0.53 (define @t14 () (@var "BOUND_VARIABLE_7424" $$unsorted)) % 0.31/0.53 (define @t15 () (tptp.cP @t14 tptp.y)) % 0.31/0.53 (define @t16 () (@list @t14)) % 0.31/0.53 (define @t17 () (forall @t16 @t15)) % 0.31/0.53 (define @t18 () (and @t17 @t13)) % 0.31/0.53 (define @t19 () (not @t18)) % 0.31/0.53 (define @t20 () (@list @t10)) % 0.31/0.53 (define @t21 () (@list @t1)) % 0.31/0.53 (define @t22 () (tptp.cQ @t1 tptp.y)) % 0.31/0.53 (define @t23 () (tptp.cP @t1 tptp.y)) % 0.31/0.53 (define @t24 () (_ (_ tptp.cQ @t10) tptp.y)) % 0.31/0.53 (define @t25 () (forall @t12 @t24)) % 0.31/0.53 (define @t26 () (_ (_ tptp.cP @t14) tptp.y)) % 0.31/0.53 (define @t27 () (forall @t16 @t26)) % 0.31/0.53 (define @t28 () (@list @t14)) % 0.31/0.53 (define @t29 () (forall @t3 @t22)) % 0.31/0.53 (define @t30 () (forall @t3 @t23)) % 0.31/0.53 (define @t31 () (and @t30 @t29)) % 0.31/0.53 (define @t32 () (not @t31)) % 0.31/0.53 (define @t33 () (not @t17)) % 0.31/0.53 (define @t34 () (not @t13)) % 0.31/0.53 (define @t35 () (@list true)) % 0.31/0.53 (define @t36 () (@list @t17)) % 0.31/0.53 (assume @p1 @t9) % 0.31/0.53 (assume @p2 true) % 0.31/0.53 (step @p3 :rule cnf_and_pos :args (@t18 1)) % 0.31/0.53 (step @p4 :rule reordering :premises (@p3) :args ((or @t13 @t19))) % 0.31/0.53 (step @p5 :rule alpha_equiv :args (@t13 @t20 @t21)) % 0.31/0.53 (step @p6 :rule equiv_elim2 :premises (@p5)) % 0.31/0.53 (step @p7 :rule refl :args (@t22)) % 0.31/0.53 (step @p8 :rule refl :args (@t2)) % 0.31/0.53 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t2 @t22))) % 0.31/0.53 (step @p10 :rule symm :premises (@p9)) % 0.31/0.53 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.31/0.53 (step @p12 :rule cong :premises (@p11) :args (@t4)) % 0.31/0.53 (step @p13 :rule refl :args (@t23)) % 0.31/0.53 (step @p14 :rule refl :args (@t5)) % 0.31/0.53 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t5 @t23))) % 0.31/0.53 (step @p16 :rule symm :premises (@p15)) % 0.31/0.53 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.31/0.53 (step @p18 :rule cong :premises (@p17) :args (@t6)) % 0.31/0.53 (step @p19 :rule nary_cong :premises (@p18 @p12) :args (@t7)) % 0.31/0.53 (step @p20 :rule refl :args (@t11)) % 0.31/0.53 (step @p21 :rule refl :args (@t24)) % 0.31/0.53 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t24 @t11))) % 0.31/0.53 (step @p23 :rule symm :premises (@p22)) % 0.31/0.53 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.31/0.53 (step @p25 :rule cong :premises (@p24) :args (@t25)) % 0.31/0.53 (step @p26 :rule refl :args (@t15)) % 0.31/0.53 (step @p27 :rule refl :args (@t26)) % 0.31/0.53 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t26 @t15))) % 0.31/0.53 (step @p29 :rule symm :premises (@p28)) % 0.31/0.53 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.31/0.53 (step @p31 :rule cong :premises (@p30) :args (@t27)) % 0.31/0.53 (step @p32 :rule nary_cong :premises (@p31 @p25) :args ((and @t27 @t25))) % 0.31/0.53 (step @p33 :rule alpha_equiv :args (@t4 @t21 @t20)) % 0.31/0.53 (step @p34 :rule alpha_equiv :args (@t6 @t21 @t28)) % 0.31/0.53 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t7)) % 0.31/0.53 (step @p36 :rule quant-miniscope-and :args (@t8)) % 0.31/0.53 (step @p37 :rule trans :premises (@p36 @p35)) % 0.31/0.53 (step @p38 :rule trans :premises (@p37 @p32)) % 0.31/0.53 (step @p39 :rule cong :premises (@p38 @p19) :args (@t8)) % 0.31/0.53 (step @p40 :rule cong :premises (@p39) :args (@t9)) % 0.31/0.53 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.31/0.53 (step @p42 :rule not_equiv_elim1 :premises (@p41)) % 0.31/0.53 (step @p43 :rule cnf_and_pos :args (@t31 1)) % 0.31/0.53 (step @p44 :rule reordering :premises (@p43) :args ((or @t29 @t32))) % 0.31/0.53 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p6 @p4) :args (@t13 (@list false true true) (@list @t31 @t29 @t18))) % 0.31/0.53 (step @p46 :rule alpha_equiv :args (@t17 @t28 @t21)) % 0.31/0.53 (step @p47 :rule equiv_elim1 :premises (@p46)) % 0.31/0.53 (step @p48 :rule reordering :premises (@p47) :args ((or @t30 @t33))) % 0.31/0.53 (step @p49 :rule cnf_and_neg :args (@t18)) % 0.31/0.54 (step @p50 :rule equiv_elim1 :premises (@p5)) % 0.31/0.54 (step @p51 :rule reordering :premises (@p50) :args ((or @t29 @t34))) % 0.31/0.54 (step @p52 :rule not_equiv_elim2 :premises (@p41)) % 0.31/0.54 (step @p53 :rule cnf_and_neg :args (@t31)) % 0.31/0.54 (step @p54 :rule chain_m_resolution :premises (@p53 @p52 @p51 @p49 @p48) :args ((or @t33 @t34) (@list true false false false) (@list @t31 @t29 @t18 @t30))) % 0.31/0.54 (step @p55 :rule chain_m_resolution :premises (@p54 @p45) :args (@t33 (@list false) (@list @t13))) % 0.31/0.54 (step @p56 :rule equiv_elim2 :premises (@p46)) % 0.31/0.54 (step @p57 :rule chain_m_resolution :premises (@p56 @p55) :args ((not @t30) @t35 @t36)) % 0.31/0.54 (step @p58 :rule cnf_and_pos :args (@t18 0)) % 0.31/0.54 (step @p59 :rule reordering :premises (@p58) :args ((or @t17 @t19))) % 0.31/0.54 (step @p60 :rule chain_m_resolution :premises (@p59 @p55) :args (@t19 @t35 @t36)) % 0.31/0.54 (step @p61 :rule chain_m_resolution :premises (@p42 @p60) :args (@t31 @t35 (@list @t18))) % 0.31/0.54 (step @p62 :rule cnf_and_pos :args (@t31 0)) % 0.31/0.54 (step @p63 :rule reordering :premises (@p62) :args ((or @t30 @t32))) % 0.31/0.54 (step @p64 false :rule chain_m_resolution :premises (@p63 @p61 @p57) :args (false (@list false true) (@list @t31 @t30))) % 0.31/0.54 ) % 0.31/0.54 % SZS output end Proof % 0.31/0.54 % cvc5 exiting %------------------------------------------------------------------------------