%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET171^5 : 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 : n028.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 08:47:34 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET171^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 15:06:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.a 0) % 0.30/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.30/0.55 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.30/0.55 (define @t3 () (_ @t2 @t1)) % 0.30/0.55 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.30/0.55 (define @t5 () (_ @t4 @t1)) % 0.30/0.55 (define @t6 () (or @t5 @t3)) % 0.30/0.55 (define @t7 () (@var "Y" (-> tptp.a Bool))) % 0.30/0.55 (define @t8 () (_ @t7 @t1)) % 0.30/0.55 (define @t9 () (or @t5 @t8)) % 0.30/0.55 (define @t10 () (and @t9 @t6)) % 0.30/0.55 (define @t11 () (@list @t1)) % 0.30/0.55 (define @t12 () (lambda @t11 @t10)) % 0.30/0.55 (define @t13 () (@var "Xz" tptp.a)) % 0.30/0.55 (define @t14 () (_ @t2 @t13)) % 0.30/0.55 (define @t15 () (_ @t7 @t13)) % 0.30/0.55 (define @t16 () (and @t15 @t14)) % 0.30/0.55 (define @t17 () (_ @t4 @t13)) % 0.30/0.55 (define @t18 () (or @t17 @t16)) % 0.30/0.55 (define @t19 () (@list @t13)) % 0.30/0.55 (define @t20 () (lambda @t19 @t18)) % 0.30/0.55 (define @t21 () (= @t20 @t12)) % 0.30/0.55 (define @t22 () (@list @t4 @t7 @t2)) % 0.30/0.55 (define @t23 () (forall @t22 @t21)) % 0.30/0.55 (define @t24 () (not @t23)) % 0.30/0.55 (define @t25 () (_ @t2 @t1)) % 0.30/0.55 (define @t26 () (_ @t4 @t1)) % 0.30/0.55 (define @t27 () (_ @t7 @t1)) % 0.30/0.55 (define @t28 () (_ @t2 @t13)) % 0.30/0.55 (define @t29 () (_ @t7 @t13)) % 0.30/0.55 (define @t30 () (_ @t4 @t13)) % 0.30/0.55 (define @t31 () (forall @t22 (= (lambda @t19 (or @t30 (and @t29 @t28))) (lambda @t11 (and (or @t26 @t27) (or @t26 @t25)))))) % 0.30/0.55 (define @t32 () (@quantifiers_skolemize @t31 2)) % 0.30/0.55 (define @t33 () (@quantifiers_skolemize @t31 1)) % 0.30/0.55 (define @t34 () (@quantifiers_skolemize @t31 0)) % 0.30/0.55 (define @t35 () (lambda @t19 (or (_ @t34 @t13) (and (_ @t33 @t13) (_ @t32 @t13))))) % 0.30/0.55 (define @t36 () (@purify @t35)) % 0.30/0.55 (define @t37 () (_ @t34 @t1)) % 0.30/0.55 (define @t38 () (lambda @t11 (and (or @t37 (_ @t33 @t1)) (or @t37 (_ @t32 @t1))))) % 0.30/0.55 (define @t39 () (@purify @t38)) % 0.30/0.55 (define @t40 () (= @t39 @t36)) % 0.30/0.55 (define @t41 () (not @t40)) % 0.30/0.55 (define @t42 () (not @t31)) % 0.30/0.55 (define @t43 () (= @t35 @t38)) % 0.30/0.55 (define @t44 () (not @t43)) % 0.30/0.55 (define @t45 () (@list true)) % 0.30/0.55 (define @t46 () (@const 0 tptp.a)) % 0.30/0.55 (define @t47 () (_ @t32 @t46)) % 0.30/0.55 (define @t48 () (_ @t34 @t46)) % 0.30/0.55 (define @t49 () (or @t48 @t47)) % 0.30/0.55 (define @t50 () (_ @t33 @t46)) % 0.30/0.55 (define @t51 () (or @t48 @t50)) % 0.30/0.55 (define @t52 () (and @t51 @t49)) % 0.30/0.55 (define @t53 () (and @t50 @t47)) % 0.30/0.55 (define @t54 () (or @t48 @t53)) % 0.30/0.55 (define @t55 () (= (_ @t35 @t46) @t54)) % 0.30/0.55 (define @t56 () (_ @t36 @t46)) % 0.30/0.55 (define @t57 () (= (_ @t38 @t46) @t52)) % 0.30/0.55 (define @t58 () (_ @t39 @t46)) % 0.30/0.55 (define @t59 () (= @t58 @t56)) % 0.30/0.55 (define @t60 () (not @t59)) % 0.30/0.55 (define @t61 () (or @t40 @t60)) % 0.30/0.55 (define @t62 () (= @t54 @t52)) % 0.30/0.55 (define @t63 () (not @t53)) % 0.30/0.55 (define @t64 () (not @t54)) % 0.30/0.55 (define @t65 () (not @t52)) % 0.30/0.55 (define @t66 () (not @t50)) % 0.30/0.55 (define @t67 () (@list true true)) % 0.30/0.55 (define @t68 () (not @t51)) % 0.30/0.55 (assume @p1 @t24) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule refl :args (@t25)) % 0.30/0.55 (step @p4 :rule refl :args (@t3)) % 0.30/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t25))) % 0.30/0.55 (step @p6 :rule symm :premises (@p5)) % 0.30/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.30/0.55 (step @p8 :rule refl :args (@t26)) % 0.30/0.55 (step @p9 :rule refl :args (@t5)) % 0.30/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t26))) % 0.30/0.55 (step @p11 :rule symm :premises (@p10)) % 0.30/0.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.30/0.55 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t6)) % 0.30/0.55 (step @p14 :rule refl :args (@t27)) % 0.30/0.55 (step @p15 :rule refl :args (@t8)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t8 @t27))) % 0.30/0.55 (step @p17 :rule symm :premises (@p16)) % 0.30/0.55 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.30/0.55 (step @p19 :rule nary_cong :premises (@p12 @p18) :args (@t9)) % 0.30/0.55 (step @p20 :rule nary_cong :premises (@p19 @p13) :args (@t10)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20) :args (@t12)) % 0.30/0.55 (step @p22 :rule refl :args (@t28)) % 0.30/0.55 (step @p23 :rule refl :args (@t14)) % 0.30/0.55 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t14 @t28))) % 0.30/0.55 (step @p25 :rule symm :premises (@p24)) % 0.30/0.55 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.30/0.55 (step @p27 :rule refl :args (@t29)) % 0.30/0.55 (step @p28 :rule refl :args (@t15)) % 0.30/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t15 @t29))) % 0.30/0.55 (step @p30 :rule symm :premises (@p29)) % 0.30/0.55 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.30/0.55 (step @p32 :rule nary_cong :premises (@p31 @p26) :args (@t16)) % 0.30/0.55 (step @p33 :rule refl :args (@t30)) % 0.30/0.55 (step @p34 :rule refl :args (@t17)) % 0.30/0.55 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t17 @t30))) % 0.30/0.55 (step @p36 :rule symm :premises (@p35)) % 0.30/0.55 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.30/0.55 (step @p38 :rule nary_cong :premises (@p37 @p32) :args (@t18)) % 0.30/0.55 (step @p39 :rule cong :premises (@p38) :args (@t20)) % 0.30/0.55 (step @p40 :rule cong :premises (@p39 @p21) :args (@t21)) % 0.30/0.55 (step @p41 :rule cong :premises (@p40) :args (@t23)) % 0.30/0.55 (step @p42 :rule cong :premises (@p41) :args (@t24)) % 0.30/0.55 (step @p43 :rule eq_resolve :premises (@p1 @p42)) % 0.30/0.55 (step @p44 :rule refl :args (@t41)) % 0.30/0.55 (step @p45 :rule bool-double-not-elim :args (@t31)) % 0.30/0.55 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t42) @t41))) % 0.30/0.55 (step @p47 :rule eq-symm :args (@t36 @t39)) % 0.30/0.55 (step @p48 :rule eq-refl :args (@t38)) % 0.30/0.55 (step @p49 :rule skolem_intro :args (@t39)) % 0.30/0.55 (step @p50 :rule refl :args (@t38)) % 0.30/0.55 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t38 @t39))) % 0.30/0.55 (step @p52 :rule trans :premises (@p51 @p48)) % 0.30/0.55 (step @p53 :rule true_elim :premises (@p52)) % 0.30/0.55 (step @p54 :rule eq-refl :args (@t35)) % 0.30/0.55 (step @p55 :rule skolem_intro :args (@t36)) % 0.30/0.55 (step @p56 :rule refl :args (@t35)) % 0.30/0.55 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t35 @t36))) % 0.30/0.55 (step @p58 :rule trans :premises (@p57 @p54)) % 0.30/0.55 (step @p59 :rule true_elim :premises (@p58)) % 0.30/0.55 (step @p60 :rule cong :premises (@p59 @p53) :args (@t43)) % 0.30/0.55 (step @p61 :rule trans :premises (@p60 @p47)) % 0.30/0.55 (step @p62 :rule cong :premises (@p61) :args (@t44)) % 0.30/0.55 (step @p63 :rule refl :args (@t42)) % 0.30/0.55 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t42 @t44))) % 0.30/0.55 (assume-push @p135 @t42) % 0.30/0.55 (step @p66 :rule skolemize :premises (@p43)) % 0.30/0.55 (step-pop @p136 :rule scope :premises (@p66)) % 0.30/0.55 (step @p67 :rule process_scope :premises (@p136) :args (@t44)) % 0.30/0.55 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.30/0.55 (step @p70 :rule implies_elim :premises (@p69)) % 0.30/0.55 (step @p71 :rule eq_resolve :premises (@p70 @p46)) % 0.30/0.55 (step @p72 :rule chain_m_resolution :premises (@p71 @p43) :args (@t41 @t45 (@list @t31))) % 0.30/0.55 (step @p73 :rule eq-symm :args (@t52 @t54)) % 0.30/0.55 (step @p74 :rule eq-refl :args (@t54)) % 0.30/0.55 (step @p75 :rule refl :args (@t54)) % 0.30/0.55 (step @p76 :rule beta-reduce :args (@t55)) % 0.30/0.55 (step @p77 :rule cong :premises (@p76 @p75) :args (@t55)) % 0.30/0.55 (step @p78 :rule trans :premises (@p77 @p74)) % 0.30/0.55 (step @p79 :rule refl :args (@t46)) % 0.30/0.55 (step @p80 :rule ho_cong :premises (@p55 @p79)) % 0.30/0.55 (step @p81 :rule cong :premises (@p80 @p75) :args ((= @t56 @t54))) % 0.30/0.55 (step @p82 :rule trans :premises (@p81 @p78)) % 0.30/0.55 (step @p83 :rule true_elim :premises (@p82)) % 0.30/0.55 (step @p84 :rule eq-refl :args (@t52)) % 0.30/0.55 (step @p85 :rule refl :args (@t52)) % 0.30/0.55 (step @p86 :rule beta-reduce :args (@t57)) % 0.30/0.55 (step @p87 :rule cong :premises (@p86 @p85) :args (@t57)) % 0.30/0.55 (step @p88 :rule trans :premises (@p87 @p84)) % 0.30/0.55 (step @p89 :rule ho_cong :premises (@p49 @p79)) % 0.30/0.55 (step @p90 :rule cong :premises (@p89 @p85) :args ((= @t58 @t52))) % 0.30/0.55 (step @p91 :rule trans :premises (@p90 @p88)) % 0.30/0.55 (step @p92 :rule true_elim :premises (@p91)) % 0.30/0.55 (step @p93 :rule cong :premises (@p92 @p83) :args (@t59)) % 0.30/0.55 (step @p94 :rule trans :premises (@p93 @p73)) % 0.30/0.55 (step @p95 :rule cong :premises (@p94) :args (@t60)) % 0.30/0.55 (step @p96 :rule refl :args (@t40)) % 0.30/0.55 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t61)) % 0.30/0.55 ; WARNING: add trust step for TRUST % 0.30/0.55 ; trust TRUST THEORY_LEMMA % 0.30/0.55 (step @p98 :rule trust :premises () :args (@t61)) % 0.30/0.55 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.30/0.55 (step @p100 :rule chain_m_resolution :premises (@p99 @p72) :args ((not @t62) @t45 (@list @t40))) % 0.30/0.55 (step @p101 :rule cnf_and_pos :args (@t53 1)) % 0.30/0.55 (step @p102 :rule reordering :premises (@p101) :args ((or @t47 @t63))) % 0.30/0.55 (step @p103 :rule cnf_or_neg :args (@t54 0)) % 0.30/0.55 (step @p104 :rule cnf_or_neg :args (@t51 0)) % 0.30/0.55 (step @p105 :rule cnf_or_neg :args (@t49 0)) % 0.30/0.55 (step @p106 :rule cnf_equiv_neg2 :args (@t62)) % 0.30/0.55 (step @p107 :rule cnf_and_neg :args (@t52)) % 0.30/0.55 (step @p108 :rule chain_m_resolution :premises (@p107 @p106 @p100 @p105 @p104 @p103) :args ((not @t48) (@list true true false false false) (@list @t52 @t62 @t49 @t51 @t54))) % 0.30/0.55 (step @p109 :rule cnf_or_pos :args (@t49)) % 0.30/0.55 (step @p110 :rule reordering :premises (@p109) :args ((or @t48 @t47 (not @t49)))) % 0.30/0.55 (step @p111 :rule cnf_or_pos :args (@t54)) % 0.30/0.55 (step @p112 :rule reordering :premises (@p111) :args ((or @t48 @t53 @t64))) % 0.30/0.55 (step @p113 :rule cnf_and_pos :args (@t52 1)) % 0.30/0.55 (step @p114 :rule reordering :premises (@p113) :args ((or @t49 @t65))) % 0.30/0.55 (step @p115 :rule cnf_equiv_neg1 :args (@t62)) % 0.30/0.55 (step @p116 :rule reordering :premises (@p115) :args ((or @t54 @t52 @t62))) % 0.30/0.55 (step @p117 :rule chain_m_resolution :premises (@p116 @p100 @p114 @p112 @p108 @p110 @p108 @p102) :args (@t47 (@list true true true true true true true) (@list @t62 @t52 @t54 @t48 @t49 @t48 @t53))) % 0.30/0.55 (step @p118 :rule cnf_or_neg :args (@t51 1)) % 0.30/0.55 (step @p119 :rule cnf_and_neg :args (@t53)) % 0.30/0.55 (step @p120 :rule cnf_or_neg :args (@t49 1)) % 0.30/0.55 (step @p121 :rule cnf_or_neg :args (@t54 1)) % 0.30/0.55 (step @p122 :rule chain_m_resolution :premises (@p106 @p100 @p107 @p121 @p120 @p119 @p118) :args ((or @t66 (not @t47)) (@list true false false false false false) (@list @t62 @t52 @t54 @t49 @t53 @t51))) % 0.30/0.55 (step @p123 :rule chain_m_resolution :premises (@p122 @p117) :args (@t66 (@list false) (@list @t47))) % 0.30/0.55 (step @p124 :rule cnf_and_pos :args (@t53 0)) % 0.30/0.55 (step @p125 :rule reordering :premises (@p124) :args ((or @t50 @t63))) % 0.30/0.55 (step @p126 :rule chain_m_resolution :premises (@p125 @p123) :args (@t63 @t45 (@list @t50))) % 0.30/0.55 (step @p127 :rule chain_m_resolution :premises (@p112 @p108 @p126) :args (@t64 @t67 (@list @t48 @t53))) % 0.30/0.55 (step @p128 :rule cnf_or_pos :args (@t51)) % 0.30/0.55 (step @p129 :rule reordering :premises (@p128) :args ((or @t48 @t50 @t68))) % 0.30/0.55 (step @p130 :rule chain_m_resolution :premises (@p129 @p108 @p123) :args (@t68 @t67 (@list @t48 @t50))) % 0.30/0.55 (step @p131 :rule cnf_and_pos :args (@t52 0)) % 0.30/0.55 (step @p132 :rule reordering :premises (@p131) :args ((or @t51 @t65))) % 0.30/0.55 (step @p133 :rule chain_m_resolution :premises (@p132 @p130) :args (@t65 @t45 (@list @t51))) % 0.30/0.55 (step @p134 false :rule chain_m_resolution :premises (@p116 @p133 @p127 @p100) :args (false (@list true true true) (@list @t52 @t54 @t62))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------