%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO218^5 : 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 : 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 09:12:15 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO218^5 : 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 % 0.17/0.34 % 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 : Wed Jun 3 00:00:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.57 (define @t3 () (= @t2 @t1)) % 0.38/0.57 (define @t4 () (@var "Xz" $$unsorted)) % 0.38/0.57 (define @t5 () (@list @t4)) % 0.38/0.57 (define @t6 () (lambda @t5 (= @t1 @t4))) % 0.38/0.57 (define @t7 () (@var "Xq" (-> (-> $$unsorted Bool) $$unsorted))) % 0.38/0.57 (define @t8 () (_ @t7 @t6)) % 0.38/0.57 (define @t9 () (= @t1 @t8)) % 0.38/0.57 (define @t10 () (lambda @t5 (= @t2 @t4))) % 0.38/0.57 (define @t11 () (_ @t7 @t10)) % 0.38/0.57 (define @t12 () (= @t2 @t11)) % 0.38/0.57 (define @t13 () (@list @t7)) % 0.38/0.57 (define @t14 () (forall @t13 (=> @t12 @t9))) % 0.38/0.57 (define @t15 () (=> @t14 @t3)) % 0.38/0.57 (define @t16 () (@list @t2 @t1)) % 0.38/0.57 (define @t17 () (forall @t16 @t15)) % 0.38/0.57 (define @t18 () (not @t17)) % 0.38/0.57 (define @t19 () (_ @t7 @t6)) % 0.38/0.57 (define @t20 () (_ @t7 @t10)) % 0.38/0.57 (define @t21 () (forall @t13 (or (not (= @t2 @t20)) (= @t1 @t19)))) % 0.38/0.57 (define @t22 () (not @t12)) % 0.38/0.57 (define @t23 () (or @t22 @t9)) % 0.38/0.57 (define @t24 () (forall @t16 (or (not @t21) @t3))) % 0.38/0.57 (define @t25 () (@quantifiers_skolemize @t24 1)) % 0.38/0.57 (define @t26 () (@quantifiers_skolemize @t24 0)) % 0.38/0.57 (define @t27 () (= @t26 @t25)) % 0.38/0.57 (define @t28 () (lambda @t5 (= @t4 @t25))) % 0.38/0.57 (define @t29 () (lambda @t5 (= @t4 @t26))) % 0.38/0.57 (define @t30 () (forall @t13 (or (not (= @t26 (_ @t7 @t29))) (= @t25 (_ @t7 @t28))))) % 0.38/0.57 (define @t31 () (not @t30)) % 0.38/0.57 (define @t32 () (or @t31 @t27)) % 0.38/0.57 (define @t33 () (not @t32)) % 0.38/0.57 (define @t34 () (not @t24)) % 0.38/0.57 (define @t35 () (lambda @t5 (= @t25 @t4))) % 0.38/0.57 (define @t36 () (_ @t7 @t35)) % 0.38/0.57 (define @t37 () (= @t25 @t36)) % 0.38/0.57 (define @t38 () (lambda @t5 (= @t26 @t4))) % 0.38/0.57 (define @t39 () (_ @t7 @t38)) % 0.38/0.57 (define @t40 () (= @t26 @t39)) % 0.38/0.57 (define @t41 () (not @t40)) % 0.38/0.57 (define @t42 () (or @t41 @t37)) % 0.38/0.57 (define @t43 () (forall @t13 @t42)) % 0.38/0.57 (define @t44 () (not @t43)) % 0.38/0.57 (define @t45 () (or @t44 @t27)) % 0.38/0.57 (define @t46 () (not @t45)) % 0.38/0.57 (define @t47 () (@list true)) % 0.38/0.57 (define @t48 () (@list @t32)) % 0.38/0.57 (define @t49 () (lambda (@list (@var "BOUND_VARIABLE_14796" (-> $$unsorted Bool))) @t26)) % 0.38/0.57 (define @t50 () (_ @t49 @t28)) % 0.38/0.57 (define @t51 () (= @t25 @t50)) % 0.38/0.57 (define @t52 () (_ @t49 @t29)) % 0.38/0.57 (define @t53 () (= @t26 @t52)) % 0.38/0.57 (define @t54 () (not @t53)) % 0.38/0.57 (define @t55 () (or @t54 @t51)) % 0.38/0.57 (assume @p1 @t18) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule bool-impl-elim :args (@t21 @t3)) % 0.38/0.57 (step @p4 :rule cong :premises (@p3) :args ((forall @t16 (=> @t21 @t3)))) % 0.38/0.57 (step @p5 :rule refl :args (@t3)) % 0.38/0.57 (step @p6 :rule refl :args (@t19)) % 0.38/0.57 (step @p7 :rule refl :args (@t8)) % 0.38/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t8 @t19))) % 0.38/0.57 (step @p9 :rule symm :premises (@p8)) % 0.38/0.57 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.38/0.57 (step @p11 :rule refl :args (@t1)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args (@t9)) % 0.38/0.57 (step @p13 :rule refl :args (@t20)) % 0.38/0.57 (step @p14 :rule refl :args (@t11)) % 0.38/0.57 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t11 @t20))) % 0.38/0.57 (step @p16 :rule symm :premises (@p15)) % 0.38/0.57 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.38/0.57 (step @p18 :rule refl :args (@t2)) % 0.38/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args (@t12)) % 0.38/0.57 (step @p20 :rule cong :premises (@p19) :args (@t22)) % 0.38/0.57 (step @p21 :rule nary_cong :premises (@p20 @p12) :args (@t23)) % 0.38/0.57 (step @p22 :rule cong :premises (@p21) :args ((forall @t13 @t23))) % 0.38/0.57 (step @p23 :rule bool-impl-elim :args (@t12 @t9)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23) :args (@t14)) % 0.38/0.57 (step @p25 :rule trans :premises (@p24 @p22)) % 0.38/0.57 (step @p26 :rule cong :premises (@p25 @p5) :args (@t15)) % 0.38/0.57 (step @p27 :rule cong :premises (@p26) :args (@t17)) % 0.38/0.57 (step @p28 :rule trans :premises (@p27 @p4)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28) :args (@t18)) % 0.38/0.57 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 0.38/0.57 (step @p31 :rule refl :args (@t33)) % 0.38/0.57 (step @p32 :rule bool-double-not-elim :args (@t24)) % 0.38/0.57 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t34) @t33))) % 0.38/0.57 (step @p34 :rule refl :args (@t27)) % 0.38/0.57 (step @p35 :rule eq-symm :args (@t25 @t4)) % 0.38/0.57 (step @p36 :rule cong :premises (@p35) :args (@t35)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36) :args (@t36)) % 0.38/0.57 (step @p38 :rule refl :args (@t25)) % 0.38/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args (@t37)) % 0.38/0.57 (step @p40 :rule eq-symm :args (@t26 @t4)) % 0.38/0.57 (step @p41 :rule cong :premises (@p40) :args (@t38)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args (@t39)) % 0.38/0.57 (step @p43 :rule refl :args (@t26)) % 0.38/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args (@t40)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44) :args (@t41)) % 0.38/0.57 (step @p46 :rule nary_cong :premises (@p45 @p39) :args (@t42)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46) :args (@t43)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args (@t44)) % 0.38/0.57 (step @p49 :rule nary_cong :premises (@p48 @p34) :args (@t45)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args (@t46)) % 0.38/0.57 (step @p51 :rule refl :args (@t34)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t34 @t46))) % 0.38/0.57 (assume-push @p94 @t34) % 0.38/0.57 (step @p54 :rule skolemize :premises (@p30)) % 0.38/0.57 (step-pop @p95 :rule scope :premises (@p54)) % 0.38/0.57 (step @p55 :rule process_scope :premises (@p95) :args (@t46)) % 0.38/0.57 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.38/0.57 (step @p58 :rule implies_elim :premises (@p57)) % 0.38/0.57 (step @p59 :rule eq_resolve :premises (@p58 @p33)) % 0.38/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p30) :args (@t33 @t47 (@list @t24))) % 0.38/0.57 (step @p61 :rule bool-double-not-elim :args (@t30)) % 0.38/0.57 (step @p62 :rule refl :args (@t32)) % 0.38/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t32 (not @t31)))) % 0.38/0.57 (step @p64 :rule cnf_or_neg :args (@t32 0)) % 0.38/0.57 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.38/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t30 @t32))) % 0.38/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t30 @t47 @t48)) % 0.38/0.57 (step @p68 :rule cnf_or_neg :args (@t32 1)) % 0.38/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p60) :args ((not @t27) @t47 @t48)) % 0.38/0.57 (step @p70 :rule aci_norm :args ((= (or false @t27) @t27))) % 0.38/0.57 (step @p71 :rule eq-symm :args (@t25 @t26)) % 0.38/0.57 (step @p72 :rule beta-reduce :args ((= @t50 @t26))) % 0.38/0.57 (step @p73 :rule cong :premises (@p38 @p72) :args (@t51)) % 0.38/0.57 (step @p74 :rule trans :premises (@p73 @p71)) % 0.38/0.57 (step @p75 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p76 :rule eq-refl :args (@t26)) % 0.38/0.57 (step @p77 :rule beta-reduce :args ((= @t52 @t26))) % 0.38/0.57 (step @p78 :rule cong :premises (@p43 @p77) :args (@t53)) % 0.38/0.57 (step @p79 :rule trans :premises (@p78 @p76)) % 0.38/0.57 (step @p80 :rule cong :premises (@p79) :args (@t54)) % 0.38/0.57 (step @p81 :rule trans :premises (@p80 @p75)) % 0.38/0.57 (step @p82 :rule nary_cong :premises (@p81 @p74) :args (@t55)) % 0.38/0.57 (step @p83 :rule trans :premises (@p82 @p70)) % 0.38/0.57 (step @p84 :rule refl :args (@t30)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t30 @t55))) % 0.38/0.57 (assume-push @p96 @t30) % 0.38/0.57 (step @p87 :rule instantiate :premises (@p67) :args ((@list @t49))) % 0.38/0.57 (step-pop @p97 :rule scope :premises (@p87)) % 0.38/0.57 (step @p88 :rule process_scope :premises (@p97) :args (@t55)) % 0.38/0.57 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.38/0.57 (step @p91 :rule implies_elim :premises (@p90)) % 0.38/0.57 (step @p92 :rule reordering :premises (@p91) :args ((or @t27 @t31))) % 0.38/0.57 (step @p93 false :rule chain_m_resolution :premises (@p92 @p69 @p67) :args (false (@list true false) (@list @t27 @t30))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------