%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN057^5 : 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 : n007.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 09:07:56 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN057^5 : 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 % 0.18/0.35 % Computer : n007.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:18:41 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.cF (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cG (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cH (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cJ (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cI (-> $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "Xx" $$unsorted)) % 0.38/0.58 (define @t2 () (_ tptp.cI @t1)) % 0.38/0.58 (define @t3 () (not @t2)) % 0.38/0.58 (define @t4 () (_ tptp.cJ @t1)) % 0.38/0.58 (define @t5 () (@list @t1)) % 0.38/0.58 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.38/0.58 (define @t7 () (_ tptp.cH @t1)) % 0.38/0.58 (define @t8 () (not @t7)) % 0.38/0.58 (define @t9 () (forall @t5 (=> @t2 @t8))) % 0.38/0.58 (define @t10 () (_ tptp.cG @t1)) % 0.38/0.58 (define @t11 () (not @t10)) % 0.38/0.58 (define @t12 () (and @t7 @t11)) % 0.38/0.58 (define @t13 () (exists @t5 @t12)) % 0.38/0.58 (define @t14 () (=> @t13 @t9)) % 0.38/0.58 (define @t15 () (_ tptp.cF @t1)) % 0.38/0.58 (define @t16 () (and @t4 @t2)) % 0.38/0.58 (define @t17 () (forall @t5 (=> @t16 @t15))) % 0.38/0.58 (define @t18 () (forall @t5 (=> @t15 @t7))) % 0.38/0.58 (define @t19 () (and @t15 @t11)) % 0.38/0.58 (define @t20 () (exists @t5 @t19)) % 0.38/0.58 (define @t21 () (and @t20 @t18 @t17 @t14)) % 0.38/0.58 (define @t22 () (=> @t21 @t6)) % 0.38/0.58 (define @t23 () (not @t22)) % 0.38/0.58 (define @t24 () (tptp.cI @t1)) % 0.38/0.58 (define @t25 () (tptp.cJ @t1)) % 0.38/0.58 (define @t26 () (not @t4)) % 0.38/0.58 (define @t27 () (or @t26 @t3)) % 0.38/0.58 (define @t28 () (tptp.cH @t1)) % 0.38/0.58 (define @t29 () (or @t3 @t8)) % 0.38/0.58 (define @t30 () (tptp.cG @t1)) % 0.38/0.58 (define @t31 () (or @t8 @t10)) % 0.38/0.58 (define @t32 () (not @t11)) % 0.38/0.58 (define @t33 () (forall @t5 (not @t12))) % 0.38/0.58 (define @t34 () (not @t33)) % 0.38/0.58 (define @t35 () (tptp.cF @t1)) % 0.38/0.58 (define @t36 () (or @t26 @t3 @t15)) % 0.38/0.58 (define @t37 () (not @t15)) % 0.38/0.58 (define @t38 () (or @t37 @t7)) % 0.38/0.58 (define @t39 () (or @t37 @t10)) % 0.38/0.58 (define @t40 () (forall @t5 (not @t19))) % 0.38/0.58 (define @t41 () (not @t40)) % 0.38/0.58 (define @t42 () (not @t24)) % 0.38/0.58 (define @t43 () (@quantifiers_skolemize (forall @t5 (or (not @t25) @t42)) 0)) % 0.38/0.58 (define @t44 () (tptp.cI @t43)) % 0.38/0.58 (define @t45 () (not @t44)) % 0.38/0.58 (define @t46 () (tptp.cJ @t43)) % 0.38/0.58 (define @t47 () (not @t46)) % 0.38/0.58 (define @t48 () (or @t47 @t45)) % 0.38/0.58 (define @t49 () (@list true)) % 0.38/0.58 (define @t50 () (@list @t48)) % 0.38/0.58 (define @t51 () (@quantifiers_skolemize (forall @t5 (or (not @t35) @t30)) 0)) % 0.38/0.58 (define @t52 () (@list @t51)) % 0.38/0.58 (define @t53 () (tptp.cF @t51)) % 0.38/0.58 (define @t54 () (tptp.cG @t51)) % 0.38/0.58 (define @t55 () (not @t53)) % 0.38/0.58 (define @t56 () (or @t55 @t54)) % 0.38/0.58 (define @t57 () (@list @t56)) % 0.38/0.58 (define @t58 () (tptp.cH @t51)) % 0.38/0.58 (define @t59 () (or @t55 @t58)) % 0.38/0.58 (define @t60 () (@list false false)) % 0.38/0.58 (define @t61 () (not @t58)) % 0.38/0.58 (define @t62 () (or @t61 @t54)) % 0.38/0.58 (define @t63 () (not @t62)) % 0.38/0.58 (define @t64 () (not @t28)) % 0.38/0.58 (define @t65 () (forall @t5 (or @t64 @t30))) % 0.38/0.58 (define @t66 () (not @t65)) % 0.38/0.58 (define @t67 () (forall @t5 (or @t42 @t64))) % 0.38/0.58 (define @t68 () (@list @t43)) % 0.38/0.58 (define @t69 () (tptp.cH @t43)) % 0.38/0.58 (define @t70 () (not @t69)) % 0.38/0.58 (define @t71 () (or @t45 @t70)) % 0.38/0.58 (define @t72 () (tptp.cF @t43)) % 0.38/0.58 (define @t73 () (or @t47 @t45 @t72)) % 0.38/0.58 (define @t74 () (@list false false false)) % 0.38/0.58 (define @t75 () (not @t72)) % 0.38/0.58 (define @t76 () (or @t75 @t69)) % 0.38/0.58 (assume @p1 @t23) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule refl :args (@t24)) % 0.38/0.58 (step @p4 :rule refl :args (@t2)) % 0.38/0.58 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t24))) % 0.38/0.58 (step @p6 :rule symm :premises (@p5)) % 0.38/0.58 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.58 (step @p8 :rule cong :premises (@p7) :args (@t3)) % 0.38/0.58 (step @p9 :rule refl :args (@t25)) % 0.38/0.58 (step @p10 :rule refl :args (@t4)) % 0.38/0.58 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t4 @t25))) % 0.38/0.58 (step @p12 :rule symm :premises (@p11)) % 0.38/0.58 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.38/0.58 (step @p14 :rule cong :premises (@p13) :args (@t26)) % 0.38/0.58 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t27)) % 0.38/0.58 (step @p16 :rule cong :premises (@p15) :args ((forall @t5 @t27))) % 0.38/0.58 (step @p17 :rule bool-impl-elim :args (@t4 @t3)) % 0.38/0.58 (step @p18 :rule cong :premises (@p17) :args (@t6)) % 0.38/0.58 (step @p19 :rule trans :premises (@p18 @p16)) % 0.38/0.58 (step @p20 :rule refl :args (@t28)) % 0.38/0.58 (step @p21 :rule refl :args (@t7)) % 0.38/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t7 @t28))) % 0.38/0.58 (step @p23 :rule symm :premises (@p22)) % 0.38/0.58 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.38/0.58 (step @p25 :rule cong :premises (@p24) :args (@t8)) % 0.38/0.58 (step @p26 :rule nary_cong :premises (@p8 @p25) :args (@t29)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26) :args ((forall @t5 @t29))) % 0.38/0.58 (step @p28 :rule bool-impl-elim :args (@t2 @t8)) % 0.38/0.58 (step @p29 :rule cong :premises (@p28) :args (@t9)) % 0.38/0.58 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.58 (step @p31 :rule refl :args (@t30)) % 0.38/0.58 (step @p32 :rule refl :args (@t10)) % 0.38/0.58 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t10 @t30))) % 0.38/0.58 (step @p34 :rule symm :premises (@p33)) % 0.38/0.58 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.38/0.58 (step @p36 :rule nary_cong :premises (@p25 @p35) :args (@t31)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36) :args ((forall @t5 @t31))) % 0.38/0.58 (step @p38 :rule bool-double-not-elim :args (@t10)) % 0.38/0.58 (step @p39 :rule refl :args (@t8)) % 0.38/0.58 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t8 @t32))) % 0.38/0.58 (step @p41 :rule bool-and-de-morgan :args (@t7 @t11 true)) % 0.38/0.58 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.58 (step @p43 :rule cong :premises (@p42) :args (@t33)) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p37)) % 0.38/0.58 (step @p45 :rule cong :premises (@p44) :args (@t34)) % 0.38/0.58 (step @p46 :rule exists-elim :args ((= @t13 @t34))) % 0.38/0.58 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.58 (step @p48 :rule cong :premises (@p47 @p30) :args (@t14)) % 0.38/0.58 (step @p49 :rule refl :args (@t35)) % 0.38/0.58 (step @p50 :rule refl :args (@t15)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t15 @t35))) % 0.38/0.58 (step @p52 :rule symm :premises (@p51)) % 0.38/0.58 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.38/0.58 (step @p54 :rule nary_cong :premises (@p14 @p8 @p53) :args (@t36)) % 0.38/0.58 (step @p55 :rule cong :premises (@p54) :args ((forall @t5 @t36))) % 0.38/0.58 (step @p56 :rule aci_norm :args ((= (or @t27 @t15) @t36))) % 0.38/0.58 (step @p57 :rule bool-and-de-morgan :args (@t4 @t2 true)) % 0.38/0.58 (step @p58 :rule nary_cong :premises (@p57 @p50) :args ((or (not @t16) @t15))) % 0.38/0.58 (step @p59 :rule trans :premises (@p58 @p56)) % 0.38/0.58 (step @p60 :rule bool-impl-elim :args (@t16 @t15)) % 0.38/0.58 (step @p61 :rule trans :premises (@p60 @p59)) % 0.38/0.58 (step @p62 :rule cong :premises (@p61) :args (@t17)) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p55)) % 0.38/0.58 (step @p64 :rule cong :premises (@p53) :args (@t37)) % 0.38/0.58 (step @p65 :rule nary_cong :premises (@p64 @p24) :args (@t38)) % 0.38/0.58 (step @p66 :rule cong :premises (@p65) :args ((forall @t5 @t38))) % 0.38/0.58 (step @p67 :rule bool-impl-elim :args (@t15 @t7)) % 0.38/0.58 (step @p68 :rule cong :premises (@p67) :args (@t18)) % 0.38/0.58 (step @p69 :rule trans :premises (@p68 @p66)) % 0.38/0.58 (step @p70 :rule nary_cong :premises (@p64 @p35) :args (@t39)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70) :args ((forall @t5 @t39))) % 0.38/0.58 (step @p72 :rule refl :args (@t37)) % 0.38/0.58 (step @p73 :rule nary_cong :premises (@p72 @p38) :args ((or @t37 @t32))) % 0.38/0.58 (step @p74 :rule bool-and-de-morgan :args (@t15 @t11 true)) % 0.38/0.58 (step @p75 :rule trans :premises (@p74 @p73)) % 0.38/0.58 (step @p76 :rule cong :premises (@p75) :args (@t40)) % 0.38/0.58 (step @p77 :rule trans :premises (@p76 @p71)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77) :args (@t41)) % 0.38/0.58 (step @p79 :rule exists-elim :args ((= @t20 @t41))) % 0.38/0.58 (step @p80 :rule trans :premises (@p79 @p78)) % 0.38/0.58 (step @p81 :rule nary_cong :premises (@p80 @p69 @p63 @p48) :args (@t21)) % 0.38/0.58 (step @p82 :rule cong :premises (@p81 @p19) :args (@t22)) % 0.38/0.58 (step @p83 :rule cong :premises (@p82) :args (@t23)) % 0.38/0.58 (step @p84 :rule eq_resolve :premises (@p1 @p83)) % 0.38/0.58 (step @p85 :rule not_implies_elim2 :premises (@p84)) % 0.38/0.58 (step @p86 :rule skolemize :premises (@p85)) % 0.38/0.58 (step @p87 :rule bool-double-not-elim :args (@t44)) % 0.38/0.58 (step @p88 :rule refl :args (@t48)) % 0.38/0.58 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t48 (not @t45)))) % 0.38/0.58 (step @p90 :rule cnf_or_neg :args (@t48 1)) % 0.38/0.58 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.38/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or @t44 @t48))) % 0.38/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t44 @t49 @t50)) % 0.38/0.58 (step @p94 :rule not_implies_elim1 :premises (@p84)) % 0.38/0.58 (step @p95 :rule and_elim :premises (@p94) :args (1)) % 0.38/0.58 (step @p96 :rule instantiate :premises (@p95) :args (@t52)) % 0.38/0.58 (step @p97 :rule and_elim :premises (@p94) :args (0)) % 0.38/0.58 (step @p98 :rule skolemize :premises (@p97)) % 0.38/0.58 (step @p99 :rule bool-double-not-elim :args (@t53)) % 0.38/0.58 (step @p100 :rule refl :args (@t56)) % 0.38/0.58 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t56 (not @t55)))) % 0.38/0.58 (step @p102 :rule cnf_or_neg :args (@t56 0)) % 0.38/0.58 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.38/0.58 (step @p104 :rule reordering :premises (@p103) :args ((or @t53 @t56))) % 0.38/0.58 (step @p105 :rule chain_m_resolution :premises (@p104 @p98) :args (@t53 @t49 @t57)) % 0.38/0.58 (step @p106 :rule cnf_or_pos :args (@t59)) % 0.38/0.58 (step @p107 :rule reordering :premises (@p106) :args ((or @t55 @t58 (not @t59)))) % 0.38/0.58 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p96) :args (@t58 @t60 (@list @t53 @t59))) % 0.38/0.58 (step @p109 :rule cnf_or_neg :args (@t56 1)) % 0.38/0.58 (step @p110 :rule chain_m_resolution :premises (@p109 @p98) :args ((not @t54) @t49 @t57)) % 0.38/0.58 (step @p111 :rule cnf_or_pos :args (@t62)) % 0.38/0.58 (step @p112 :rule reordering :premises (@p111) :args ((or @t54 @t61 @t63))) % 0.38/0.58 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p108) :args (@t63 (@list true false) (@list @t54 @t58))) % 0.38/0.58 (assume-push @p151 @t65) % 0.38/0.58 (step @p115 :rule instantiate :premises (@p151) :args (@t52)) % 0.38/0.58 (step-pop @p152 :rule scope :premises (@p115)) % 0.38/0.58 (step @p116 :rule process_scope :premises (@p152) :args (@t62)) % 0.38/0.58 (step @p118 :rule implies_elim :premises (@p116)) % 0.38/0.58 (step @p119 :rule chain_m_resolution :premises (@p118 @p113) :args (@t66 @t49 (@list @t62))) % 0.38/0.58 (step @p120 :rule refl :args (@t67)) % 0.38/0.58 (step @p121 :rule bool-double-not-elim :args (@t65)) % 0.38/0.58 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t66) @t67))) % 0.38/0.58 (step @p123 :rule and_elim :premises (@p94) :args (3)) % 0.38/0.58 (step @p124 :rule implies_elim :premises (@p123)) % 0.38/0.58 (step @p125 :rule eq_resolve :premises (@p124 @p122)) % 0.38/0.58 (step @p126 :rule chain_m_resolution :premises (@p125 @p119) :args (@t67 @t49 (@list @t65))) % 0.38/0.58 (assume-push @p153 @t67) % 0.38/0.58 (step @p128 :rule instantiate :premises (@p153) :args (@t68)) % 0.38/0.58 (step-pop @p154 :rule scope :premises (@p128)) % 0.38/0.58 (step @p129 :rule process_scope :premises (@p154) :args (@t71)) % 0.38/0.58 (step @p131 :rule implies_elim :premises (@p129)) % 0.38/0.58 (step @p132 :rule chain_m_resolution :premises (@p131 @p126) :args (@t71 (@list false) (@list @t67))) % 0.38/0.58 (step @p133 :rule instantiate :premises (@p95) :args (@t68)) % 0.38/0.58 (step @p134 :rule and_elim :premises (@p94) :args (2)) % 0.38/0.58 (step @p135 :rule instantiate :premises (@p134) :args (@t68)) % 0.38/0.58 (step @p136 :rule bool-double-not-elim :args (@t46)) % 0.38/0.58 (step @p137 :rule nary_cong :premises (@p88 @p136) :args ((or @t48 (not @t47)))) % 0.38/0.58 (step @p138 :rule cnf_or_neg :args (@t48 0)) % 0.38/0.58 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.38/0.58 (step @p140 :rule reordering :premises (@p139) :args ((or @t46 @t48))) % 0.38/0.58 (step @p141 :rule chain_m_resolution :premises (@p140 @p86) :args (@t46 @t49 @t50)) % 0.38/0.58 (step @p142 :rule cnf_or_pos :args (@t73)) % 0.38/0.58 (step @p143 :rule reordering :premises (@p142) :args ((or @t47 @t45 @t72 (not @t73)))) % 0.38/0.58 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p93 @p135) :args (@t72 @t74 (@list @t46 @t44 @t73))) % 0.38/0.58 (step @p145 :rule cnf_or_pos :args (@t76)) % 0.38/0.58 (step @p146 :rule reordering :premises (@p145) :args ((or @t75 @t69 (not @t76)))) % 0.38/0.58 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p133) :args (@t69 @t60 (@list @t72 @t76))) % 0.38/0.58 (step @p148 :rule cnf_or_pos :args (@t71)) % 0.38/0.58 (step @p149 :rule reordering :premises (@p148) :args ((or @t45 @t70 (not @t71)))) % 0.38/0.58 (step @p150 false :rule chain_m_resolution :premises (@p149 @p147 @p132 @p93) :args (false @t74 (@list @t69 @t71 @t44))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------