%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ103^5 : TPTP v9.2.1. Bugfixed v5.2.0. % 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 08:44:12 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ103^5 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.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 13:18:28 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 $$unsorted 0) % 0.30/0.55 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c1 $$unsorted) % 0.30/0.55 (define tptp.cCKB6_NUM () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xp" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Xw" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (and (_ _let_2 tptp.c1) (forall (@list _let_3) (=> (_ _let_2 _let_3) (_ _let_2 (_ tptp.s _let_3))))) (_ _let_2 _let_1)))))))) % 0.30/0.55 (define @t1 () (@var "Xx" $$unsorted)) % 0.30/0.55 (define @t2 () (_ tptp.s @t1)) % 0.30/0.55 (define @t3 () (=> (_ tptp.cCKB6_NUM @t1) (_ tptp.cCKB6_NUM @t2))) % 0.30/0.55 (define @t4 () (@list @t1)) % 0.30/0.55 (define @t5 () (forall @t4 @t3)) % 0.30/0.55 (define @t6 () (not @t5)) % 0.30/0.55 (define @t7 () (@var "Xp" (-> $$unsorted Bool))) % 0.30/0.55 (define @t8 () (_ @t7 @t1)) % 0.30/0.55 (define @t9 () (@var "Xw" $$unsorted)) % 0.30/0.55 (define @t10 () (_ tptp.s @t9)) % 0.30/0.55 (define @t11 () (_ @t7 @t10)) % 0.30/0.55 (define @t12 () (_ @t7 @t9)) % 0.30/0.55 (define @t13 () (@list @t9)) % 0.30/0.55 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.30/0.55 (define @t15 () (_ @t7 tptp.c1)) % 0.30/0.55 (define @t16 () (and @t15 @t14)) % 0.30/0.55 (define @t17 () (=> @t16 @t8)) % 0.30/0.55 (define @t18 () (@list @t7)) % 0.30/0.55 (define @t19 () (forall @t18 @t17)) % 0.30/0.55 (define @t20 () (lambda @t4 @t19)) % 0.30/0.55 (define @t21 () (tptp.s @t1)) % 0.30/0.55 (define @t22 () (@var "BOUND_VARIABLE_7486" (-> $$unsorted Bool))) % 0.30/0.55 (define @t23 () (_ @t22 @t21)) % 0.30/0.55 (define @t24 () (tptp.s @t9)) % 0.30/0.55 (define @t25 () (not (forall @t13 (or (not (_ @t22 @t9)) (_ @t22 @t24))))) % 0.30/0.55 (define @t26 () (not (_ @t22 tptp.c1))) % 0.30/0.55 (define @t27 () (_ @t7 @t1)) % 0.30/0.55 (define @t28 () (_ @t7 @t24)) % 0.30/0.55 (define @t29 () (_ @t7 @t9)) % 0.30/0.55 (define @t30 () (forall @t13 (or (not @t29) @t28))) % 0.30/0.55 (define @t31 () (not @t30)) % 0.30/0.55 (define @t32 () (_ @t7 tptp.c1)) % 0.30/0.55 (define @t33 () (not @t32)) % 0.30/0.55 (define @t34 () (forall @t18 (or @t33 @t31 @t27))) % 0.30/0.55 (define @t35 () (not @t34)) % 0.30/0.55 (define @t36 () (or @t35 @t26 @t25 @t23)) % 0.30/0.55 (define @t37 () (or @t26 @t25 @t23)) % 0.30/0.55 (define @t38 () (or @t35 @t37)) % 0.30/0.55 (define @t39 () (@list @t1 @t22)) % 0.30/0.55 (define @t40 () (forall @t39 @t38)) % 0.30/0.55 (define @t41 () (@list @t22)) % 0.30/0.55 (define @t42 () (forall @t41 @t38)) % 0.30/0.55 (define @t43 () (forall @t41 @t37)) % 0.30/0.55 (define @t44 () (or @t35 @t43)) % 0.30/0.55 (define @t45 () (forall @t18 (or @t33 @t31 (_ @t7 @t21)))) % 0.30/0.55 (define @t46 () (_ @t7 @t2)) % 0.30/0.55 (define @t47 () (or @t33 @t31 @t46)) % 0.30/0.55 (define @t48 () (forall @t18 @t47)) % 0.30/0.55 (define @t49 () (lambda @t4 @t34)) % 0.30/0.55 (define @t50 () (_ @t49 @t2)) % 0.30/0.55 (define @t51 () (_ @t49 @t1)) % 0.30/0.55 (define @t52 () (=> @t51 @t50)) % 0.30/0.55 (define @t53 () (forall @t4 @t52)) % 0.30/0.55 (define @t54 () (not @t15)) % 0.30/0.55 (define @t55 () (or @t54 @t31 @t8)) % 0.30/0.55 (define @t56 () (and @t15 @t30)) % 0.30/0.55 (define @t57 () (not @t12)) % 0.30/0.55 (define @t58 () (or @t57 @t11)) % 0.30/0.55 (define @t59 () (forall @t39 @t36)) % 0.30/0.55 (define @t60 () (@quantifiers_skolemize @t59 0)) % 0.30/0.55 (define @t61 () (forall @t18 (or @t33 @t31 (_ @t7 @t60)))) % 0.30/0.55 (define @t62 () (@quantifiers_skolemize @t59 1)) % 0.30/0.55 (define @t63 () (_ @t62 (tptp.s @t60))) % 0.30/0.55 (define @t64 () (forall @t13 (or (not (_ @t62 @t9)) (_ @t62 @t24)))) % 0.30/0.55 (define @t65 () (not @t64)) % 0.30/0.55 (define @t66 () (_ @t62 tptp.c1)) % 0.39/0.55 (define @t67 () (not @t66)) % 0.39/0.55 (define @t68 () (not @t61)) % 0.39/0.55 (define @t69 () (or @t68 @t67 @t65 @t63)) % 0.39/0.55 (define @t70 () (@list true)) % 0.39/0.55 (define @t71 () (@list @t69)) % 0.39/0.55 (define @t72 () (_ @t62 @t60)) % 0.39/0.55 (define @t73 () (not @t72)) % 0.39/0.55 (define @t74 () (or @t73 @t63)) % 0.39/0.55 (define @t75 () (@list true false)) % 0.39/0.55 (define @t76 () (or @t67 @t65 @t72)) % 0.39/0.55 (define @t77 () (not @t76)) % 0.39/0.55 (assume @p1 @t6) % 0.39/0.55 (assume @p2 true) % 0.39/0.55 (step @p3 (= tptp.cCKB6_NUM @t20) :rule refl :args (@t20)) % 0.39/0.55 (step @p4 :rule aci_norm :args ((= @t38 @t36))) % 0.39/0.55 (step @p5 :rule cong :premises (@p4) :args (@t40)) % 0.39/0.55 (step @p6 :rule quant-merge-prenex :args ((= (forall @t4 @t42) @t40))) % 0.39/0.55 (step @p7 :rule alpha_equiv :args (@t43 (@list @t22) (@list @t7))) % 0.39/0.55 (step @p8 :rule refl :args (@t35)) % 0.39/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t44)) % 0.39/0.55 (step @p10 :rule quant-miniscope-or :args ((= @t42 @t44))) % 0.39/0.55 (step @p11 :rule trans :premises (@p10 @p9)) % 0.39/0.55 (step @p12 :rule symm :premises (@p11)) % 0.39/0.55 (step @p13 :rule cong :premises (@p12) :args ((forall @t4 (or @t35 @t45)))) % 0.39/0.55 (step @p14 :rule trans :premises (@p13 @p6)) % 0.39/0.55 (step @p15 :rule trans :premises (@p14 @p5)) % 0.39/0.55 (step @p16 :rule bool-impl-elim :args (@t34 @t45)) % 0.39/0.55 (step @p17 :rule cong :premises (@p16) :args ((forall @t4 (=> @t34 @t45)))) % 0.39/0.55 (step @p18 :rule trans :premises (@p17 @p15)) % 0.39/0.55 (step @p19 :rule refl :args (@t21)) % 0.39/0.55 (step @p20 :rule refl :args (@t2)) % 0.39/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t2 @t21))) % 0.39/0.55 (step @p22 :rule symm :premises (@p21)) % 0.39/0.55 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.39/0.55 (step @p24 :rule cong :premises (@p23) :args (@t46)) % 0.39/0.55 (step @p25 :rule refl :args (@t31)) % 0.39/0.55 (step @p26 :rule refl :args (@t33)) % 0.39/0.55 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t47)) % 0.39/0.55 (step @p28 :rule cong :premises (@p27) :args (@t48)) % 0.39/0.55 (step @p29 :rule beta-reduce :args ((= @t50 @t48))) % 0.39/0.55 (step @p30 :rule trans :premises (@p29 @p28)) % 0.39/0.55 (step @p31 :rule beta-reduce :args ((= @t51 @t34))) % 0.39/0.55 (step @p32 :rule cong :premises (@p31 @p30) :args (@t52)) % 0.39/0.55 (step @p33 :rule cong :premises (@p32) :args (@t53)) % 0.39/0.55 (step @p34 :rule trans :premises (@p33 @p18)) % 0.39/0.55 (step @p35 :rule cong :premises (@p34) :args ((not @t53))) % 0.39/0.55 (step @p36 :rule refl :args (@t2)) % 0.39/0.55 (step @p37 :rule refl :args (@t27)) % 0.39/0.55 (step @p38 :rule refl :args (@t8)) % 0.39/0.55 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t8 @t27))) % 0.39/0.55 (step @p40 :rule symm :premises (@p39)) % 0.39/0.55 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.39/0.55 (step @p42 :rule refl :args (@t32)) % 0.39/0.55 (step @p43 :rule refl :args (@t15)) % 0.39/0.55 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t15 @t32))) % 0.39/0.55 (step @p45 :rule symm :premises (@p44)) % 0.39/0.55 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.39/0.55 (step @p47 :rule cong :premises (@p46) :args (@t54)) % 0.39/0.55 (step @p48 :rule nary_cong :premises (@p47 @p25 @p41) :args (@t55)) % 0.39/0.55 (step @p49 :rule cong :premises (@p48) :args ((forall @t18 @t55))) % 0.39/0.55 (step @p50 :rule aci_norm :args ((= (or (or @t54 @t31) @t8) @t55))) % 0.39/0.55 (step @p51 :rule bool-and-de-morgan :args (@t15 @t30 true)) % 0.39/0.55 (step @p52 :rule nary_cong :premises (@p51 @p38) :args ((or (not @t56) @t8))) % 0.39/0.55 (step @p53 :rule trans :premises (@p52 @p50)) % 0.39/0.55 (step @p54 :rule bool-impl-elim :args (@t56 @t8)) % 0.39/0.55 (step @p55 :rule trans :premises (@p54 @p53)) % 0.39/0.55 (step @p56 :rule cong :premises (@p55) :args ((forall @t18 (=> @t56 @t8)))) % 0.39/0.55 (step @p57 :rule trans :premises (@p56 @p49)) % 0.39/0.55 (step @p58 :rule refl :args (@t8)) % 0.39/0.55 (step @p59 :rule refl :args ((_ @t7 @t10))) % 0.39/0.55 (step @p60 :rule refl :args (@t24)) % 0.39/0.55 (step @p61 :rule cong :premises (@p60) :args (@t28)) % 0.39/0.55 (step @p62 :rule trans :premises (@p61 @p59)) % 0.39/0.55 (step @p63 :rule refl :args (@t7)) % 0.39/0.55 (step @p64 :rule ho_cong :premises (@p63 @p60)) % 0.39/0.55 (step @p65 :rule cong :premises (@p64 @p62) :args ((= (_ @t7 @t24) @t28))) % 0.39/0.55 (step @p66 :rule symm :premises (@p65)) % 0.39/0.55 (step @p67 :rule refl :args (@t11)) % 0.39/0.55 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.39/0.55 (step @p69 :rule refl :args (@t10)) % 0.39/0.55 (step @p70 :rule cong :premises (@p69 @p60) :args ((= @t10 @t24))) % 0.39/0.55 (step @p71 :rule symm :premises (@p70)) % 0.39/0.55 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.39/0.55 (step @p73 :rule ho_cong :premises (@p63 @p72)) % 0.39/0.55 (step @p74 :rule trans :premises (@p73 @p68)) % 0.39/0.55 (step @p75 :rule refl :args (@t29)) % 0.39/0.55 (step @p76 :rule refl :args (@t12)) % 0.39/0.55 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t12 @t29))) % 0.39/0.55 (step @p78 :rule symm :premises (@p77)) % 0.39/0.55 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.39/0.55 (step @p80 :rule cong :premises (@p79) :args (@t57)) % 0.39/0.55 (step @p81 :rule nary_cong :premises (@p80 @p74) :args (@t58)) % 0.39/0.55 (step @p82 :rule cong :premises (@p81) :args ((forall @t13 @t58))) % 0.39/0.55 (step @p83 :rule bool-impl-elim :args (@t12 @t11)) % 0.39/0.55 (step @p84 :rule cong :premises (@p83) :args (@t14)) % 0.39/0.55 (step @p85 :rule trans :premises (@p84 @p82)) % 0.39/0.55 (step @p86 :rule refl :args (@t15)) % 0.39/0.55 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t16)) % 0.39/0.55 (step @p88 :rule cong :premises (@p87 @p58) :args (@t17)) % 0.39/0.55 (step @p89 :rule cong :premises (@p88) :args (@t19)) % 0.39/0.55 (step @p90 :rule trans :premises (@p89 @p57)) % 0.39/0.55 (step @p91 :rule cong :premises (@p90) :args (@t20)) % 0.39/0.55 (step @p92 :rule trans :premises (@p3 @p91)) % 0.39/0.55 (step @p93 :rule ho_cong :premises (@p92 @p36)) % 0.39/0.55 (step @p94 :rule refl :args (@t1)) % 0.39/0.55 (step @p95 :rule ho_cong :premises (@p92 @p94)) % 0.39/0.55 (step @p96 :rule cong :premises (@p95 @p93) :args (@t3)) % 0.39/0.55 (step @p97 :rule cong :premises (@p96) :args (@t5)) % 0.39/0.55 (step @p98 :rule cong :premises (@p97) :args (@t6)) % 0.39/0.55 (step @p99 :rule trans :premises (@p98 @p35)) % 0.39/0.55 (step @p100 :rule eq_resolve :premises (@p1 @p99)) % 0.39/0.55 (step @p101 :rule skolemize :premises (@p100)) % 0.39/0.55 (step @p102 :rule bool-double-not-elim :args (@t61)) % 0.39/0.55 (step @p103 :rule refl :args (@t69)) % 0.39/0.55 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t69 (not @t68)))) % 0.39/0.55 (step @p105 :rule cnf_or_neg :args (@t69 0)) % 0.39/0.55 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.39/0.55 (step @p107 :rule reordering :premises (@p106) :args ((or @t61 @t69))) % 0.39/0.55 (step @p108 :rule chain_m_resolution :premises (@p107 @p101) :args (@t61 @t70 @t71)) % 0.39/0.55 (step @p109 :rule bool-double-not-elim :args (@t64)) % 0.39/0.55 (step @p110 :rule nary_cong :premises (@p103 @p109) :args ((or @t69 (not @t65)))) % 0.39/0.55 (step @p111 :rule cnf_or_neg :args (@t69 2)) % 0.39/0.55 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.39/0.55 (step @p113 :rule reordering :premises (@p112) :args ((or @t64 @t69))) % 0.39/0.55 (step @p114 :rule chain_m_resolution :premises (@p113 @p101) :args (@t64 @t70 @t71)) % 0.39/0.55 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t60))) % 0.39/0.55 (step @p116 :rule cnf_or_neg :args (@t69 3)) % 0.39/0.55 (step @p117 :rule chain_m_resolution :premises (@p116 @p101) :args ((not @t63) @t70 @t71)) % 0.39/0.55 (step @p118 :rule cnf_or_pos :args (@t74)) % 0.39/0.55 (step @p119 :rule reordering :premises (@p118) :args ((or @t63 @t73 (not @t74)))) % 0.39/0.55 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p115) :args (@t73 @t75 (@list @t63 @t74))) % 0.39/0.55 (step @p121 :rule bool-double-not-elim :args (@t66)) % 0.39/0.55 (step @p122 :rule nary_cong :premises (@p103 @p121) :args ((or @t69 (not @t67)))) % 0.39/0.55 (step @p123 :rule cnf_or_neg :args (@t69 1)) % 0.39/0.55 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.39/0.55 (step @p125 :rule reordering :premises (@p124) :args ((or @t66 @t69))) % 0.39/0.55 (step @p126 :rule chain_m_resolution :premises (@p125 @p101) :args (@t66 @t70 @t71)) % 0.39/0.55 (step @p127 :rule cnf_or_pos :args (@t76)) % 0.39/0.55 (step @p128 :rule reordering :premises (@p127) :args ((or @t67 @t65 @t72 @t77))) % 0.39/0.55 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p114 @p120) :args (@t77 (@list false false true) (@list @t66 @t64 @t72))) % 0.39/0.55 (assume-push @p136 @t61) % 0.39/0.55 (step @p131 :rule instantiate :premises (@p108) :args ((@list @t62))) % 0.39/0.55 (step-pop @p137 :rule scope :premises (@p131)) % 0.39/0.55 (step @p132 :rule process_scope :premises (@p137) :args (@t76)) % 0.39/0.55 (step @p134 :rule implies_elim :premises (@p132)) % 0.39/0.55 (step @p135 false :rule chain_m_resolution :premises (@p134 @p129 @p108) :args (false @t75 (@list @t76 @t61))) % 0.39/0.55 ) % 0.39/0.55 % SZS output end Proof % 0.39/0.55 % cvc5 exiting %------------------------------------------------------------------------------