%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN375^5 : 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 : n018.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 09:08:43 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN375^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 : Tue Jun 2 23:25:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.30/0.54 (define @t1 () (@var "Xx" $$unsorted)) % 0.30/0.54 (define @t2 () (_ tptp.cP @t1)) % 0.30/0.54 (define @t3 () (@list @t1)) % 0.30/0.54 (define @t4 () (forall @t3 @t2)) % 0.30/0.54 (define @t5 () (@var "Xy" $$unsorted)) % 0.30/0.54 (define @t6 () (_ tptp.cP @t5)) % 0.30/0.54 (define @t7 () (@list @t5)) % 0.30/0.54 (define @t8 () (exists @t7 @t6)) % 0.30/0.54 (define @t9 () (=> @t8 @t4)) % 0.30/0.54 (define @t10 () (=> @t4 @t8)) % 0.30/0.54 (define @t11 () (and @t10 @t9)) % 0.30/0.54 (define @t12 () (=> @t11 (= @t8 @t4))) % 0.30/0.54 (define @t13 () (not @t12)) % 0.30/0.54 (define @t14 () (tptp.cP @t1)) % 0.30/0.54 (define @t15 () (forall @t3 @t14)) % 0.30/0.54 (define @t16 () (tptp.cP @t5)) % 0.30/0.54 (define @t17 () (forall @t7 (not @t16))) % 0.30/0.54 (define @t18 () (not @t17)) % 0.30/0.54 (define @t19 () (not @t18)) % 0.30/0.54 (define @t20 () (not @t6)) % 0.30/0.54 (define @t21 () (forall @t7 @t20)) % 0.30/0.54 (define @t22 () (not @t21)) % 0.30/0.54 (define @t23 () (@list false)) % 0.30/0.54 (define @t24 () (not @t15)) % 0.30/0.54 (assume @p1 @t13) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule refl :args (@t15)) % 0.30/0.54 (step @p4 :rule bool-double-not-elim :args (@t17)) % 0.30/0.54 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t19 @t15))) % 0.30/0.54 (step @p6 :rule refl :args (@t16)) % 0.30/0.54 (step @p7 :rule refl :args (@t6)) % 0.30/0.54 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t6 @t16))) % 0.30/0.54 (step @p9 :rule symm :premises (@p8)) % 0.30/0.54 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.30/0.54 (step @p11 :rule cong :premises (@p10) :args (@t20)) % 0.30/0.54 (step @p12 :rule cong :premises (@p11) :args (@t21)) % 0.30/0.54 (step @p13 :rule cong :premises (@p12) :args (@t22)) % 0.30/0.54 (step @p14 :rule exists-elim :args ((= @t8 @t22))) % 0.30/0.54 (step @p15 :rule trans :premises (@p14 @p13)) % 0.30/0.54 (step @p16 :rule refl :args (@t14)) % 0.30/0.54 (step @p17 :rule refl :args (@t2)) % 0.30/0.54 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t2 @t14))) % 0.30/0.54 (step @p19 :rule symm :premises (@p18)) % 0.30/0.54 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.30/0.54 (step @p21 :rule cong :premises (@p20) :args (@t4)) % 0.30/0.54 (step @p22 :rule cong :premises (@p21 @p15) :args ((= @t4 @t8))) % 0.30/0.54 (step @p23 :rule eq-symm :args (@t8 @t4)) % 0.30/0.54 (step @p24 :rule trans :premises (@p23 @p22)) % 0.30/0.54 (step @p25 :rule cong :premises (@p15 @p21) :args (@t9)) % 0.30/0.54 (step @p26 :rule cong :premises (@p21 @p15) :args (@t10)) % 0.30/0.54 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t11)) % 0.30/0.54 (step @p28 :rule cong :premises (@p27 @p24) :args (@t12)) % 0.30/0.54 (step @p29 :rule cong :premises (@p28) :args (@t13)) % 0.30/0.54 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 0.30/0.54 (step @p31 :rule not_implies_elim1 :premises (@p30)) % 0.30/0.54 (step @p32 :rule and_elim :premises (@p31) :args (1)) % 0.30/0.54 (step @p33 :rule implies_elim :premises (@p32)) % 0.30/0.54 (step @p34 :rule eq_resolve :premises (@p33 @p5)) % 0.30/0.54 (step @p35 :rule reordering :premises (@p34) :args ((or @t15 @t17))) % 0.30/0.54 (step @p36 :rule not_implies_elim2 :premises (@p30)) % 0.30/0.54 (step @p37 :rule not_equiv_elim1 :premises (@p36)) % 0.30/0.54 (step @p38 :rule chain_m_resolution :premises (@p37 @p35) :args (@t15 @t23 (@list @t17))) % 0.30/0.54 (step @p39 :rule and_elim :premises (@p31) :args (0)) % 0.30/0.54 (step @p40 :rule implies_elim :premises (@p39)) % 0.30/0.54 (step @p41 :rule reordering :premises (@p40) :args ((or @t18 @t24))) % 0.30/0.54 (step @p42 :rule chain_m_resolution :premises (@p41 @p38) :args (@t18 @t23 (@list @t15))) % 0.30/0.54 (step @p43 :rule refl :args (@t24)) % 0.30/0.54 (step @p44 :rule nary_cong :premises (@p43 @p4) :args ((or @t24 @t19))) % 0.30/0.54 (step @p45 :rule not_equiv_elim2 :premises (@p36)) % 0.30/0.54 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.30/0.54 (step @p47 :rule reordering :premises (@p46) :args ((or @t17 @t24))) % 0.30/0.54 (step @p48 false :rule chain_m_resolution :premises (@p47 @p42 @p38) :args (false (@list true false) (@list @t17 @t15))) % 0.30/0.54 ) % 0.30/0.54 % SZS output end Proof % 0.30/0.54 % cvc5 exiting %------------------------------------------------------------------------------