%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV256^5 : 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 : n002.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 08:55:41 AM UTC 2026 % Result : Theorem 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV256^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:23:03 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.48 %----Proving TH0 % 0.36/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort tptp.a 0) % 0.36/0.58 (declare-const tptp.cOPEN (-> (-> tptp.a Bool) Bool)) % 0.36/0.58 (define @t1 () (@var "Xx" tptp.a)) % 0.36/0.58 (define @t2 () (@list @t1)) % 0.36/0.58 (define @t3 () (lambda @t2 false)) % 0.36/0.58 (define @t4 () (@var "S" (-> tptp.a Bool))) % 0.36/0.58 (define @t5 () (_ @t4 @t1)) % 0.36/0.58 (define @t6 () (@var "K" (-> (-> tptp.a Bool) Bool))) % 0.36/0.58 (define @t7 () (_ @t6 @t4)) % 0.36/0.58 (define @t8 () (and @t7 @t5)) % 0.36/0.58 (define @t9 () (@list @t4)) % 0.36/0.58 (define @t10 () (exists @t9 @t8)) % 0.36/0.58 (define @t11 () (lambda @t2 @t10)) % 0.36/0.58 (define @t12 () (@var "Xx" (-> tptp.a Bool))) % 0.36/0.58 (define @t13 () (_ tptp.cOPEN @t12)) % 0.36/0.58 (define @t14 () (_ @t6 @t12)) % 0.36/0.58 (define @t15 () (@list @t12)) % 0.36/0.58 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.36/0.58 (define @t17 () (=> @t16 (_ tptp.cOPEN @t11))) % 0.36/0.58 (define @t18 () (@list @t6)) % 0.36/0.58 (define @t19 () (forall @t18 @t17)) % 0.36/0.58 (define @t20 () (=> @t19 (_ tptp.cOPEN @t3))) % 0.36/0.58 (define @t21 () (not @t20)) % 0.36/0.58 (define @t22 () (@var "BOUND_VARIABLE_7478" tptp.a)) % 0.36/0.58 (define @t23 () (lambda (@list @t22) false)) % 0.36/0.58 (define @t24 () (@purify @t23)) % 0.36/0.58 (define @t25 () (tptp.cOPEN @t24)) % 0.36/0.58 (define @t26 () (_ tptp.cOPEN @t24)) % 0.36/0.58 (define @t27 () (_ @t4 @t1)) % 0.36/0.58 (define @t28 () (not @t27)) % 0.36/0.58 (define @t29 () (_ @t6 @t4)) % 0.36/0.58 (define @t30 () (not @t29)) % 0.36/0.58 (define @t31 () (or @t30 @t28)) % 0.36/0.58 (define @t32 () (forall @t9 @t31)) % 0.36/0.58 (define @t33 () (not @t32)) % 0.36/0.58 (define @t34 () (lambda @t2 @t33)) % 0.36/0.58 (define @t35 () (tptp.cOPEN @t34)) % 0.36/0.58 (define @t36 () (tptp.cOPEN @t12)) % 0.36/0.58 (define @t37 () (_ @t6 @t12)) % 0.36/0.58 (define @t38 () (forall @t15 (or (not @t37) @t36))) % 0.36/0.58 (define @t39 () (not @t38)) % 0.36/0.58 (define @t40 () (forall @t18 (or @t39 @t35))) % 0.36/0.58 (define @t41 () (=> @t40 (_ tptp.cOPEN @t23))) % 0.36/0.58 (define @t42 () (not @t5)) % 0.36/0.58 (define @t43 () (not @t7)) % 0.36/0.58 (define @t44 () (or @t43 @t42)) % 0.36/0.58 (define @t45 () (forall @t9 @t44)) % 0.36/0.58 (define @t46 () (lambda @t2 (not @t45))) % 0.36/0.58 (define @t47 () (_ tptp.cOPEN @t34)) % 0.36/0.58 (define @t48 () (or @t39 @t47)) % 0.36/0.58 (define @t49 () (forall @t9 (not @t8))) % 0.36/0.58 (define @t50 () (not @t49)) % 0.36/0.58 (define @t51 () (not @t14)) % 0.36/0.58 (define @t52 () (or @t51 @t13)) % 0.36/0.58 (define @t53 () (tptp.cOPEN @t23)) % 0.36/0.58 (define @t54 () (lambda (@list (@var "BOUND_VARIABLE_14572" (-> tptp.a Bool))) false)) % 0.36/0.58 (define @t55 () (_ @t54 @t4)) % 0.36/0.58 (define @t56 () (not @t55)) % 0.36/0.58 (define @t57 () (or @t56 @t28)) % 0.36/0.58 (define @t58 () (forall @t9 @t57)) % 0.36/0.58 (define @t59 () (not @t58)) % 0.36/0.58 (define @t60 () (lambda @t2 @t59)) % 0.36/0.58 (define @t61 () (tptp.cOPEN @t60)) % 0.36/0.58 (define @t62 () (_ @t54 @t12)) % 0.36/0.58 (define @t63 () (not @t62)) % 0.36/0.58 (define @t64 () (or @t63 @t36)) % 0.36/0.58 (define @t65 () (forall @t15 @t64)) % 0.36/0.58 (define @t66 () (not @t65)) % 0.36/0.58 (define @t67 () (or @t66 @t61)) % 0.36/0.58 (assume @p1 @t21) % 0.36/0.58 (assume @p2 true) % 0.36/0.58 (step @p3 :rule refl :args (@t25)) % 0.36/0.58 (step @p4 :rule refl :args (@t26)) % 0.36/0.58 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t26 @t25))) % 0.36/0.58 (step @p6 :rule symm :premises (@p5)) % 0.36/0.58 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.36/0.58 (step @p8 :rule eq-refl :args (@t23)) % 0.36/0.58 (step @p9 :rule refl :args (@t23)) % 0.36/0.58 (step @p10 :rule symm :premises (@p9)) % 0.36/0.58 (step @p11 :rule refl :args (@t23)) % 0.36/0.58 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t23 @t23))) % 0.36/0.58 (step @p13 :rule trans :premises (@p12 @p8)) % 0.36/0.58 (step @p14 :rule skolem_intro :args (@t24)) % 0.36/0.58 (step @p15 :rule cong :premises (@p11 @p14) :args ((= @t23 @t24))) % 0.36/0.58 (step @p16 :rule trans :premises (@p15 @p13)) % 0.36/0.58 (step @p17 :rule true_elim :premises (@p16)) % 0.36/0.58 (step @p18 :rule refl :args (tptp.cOPEN)) % 0.36/0.58 (step @p19 :rule ho_cong :premises (@p18 @p17)) % 0.36/0.58 (step @p20 :rule trans :premises (@p19 @p7)) % 0.36/0.58 (step @p21 :rule refl :args (@t40)) % 0.36/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args (@t41)) % 0.36/0.58 (step @p23 :rule cong :premises (@p22) :args ((not @t41))) % 0.36/0.58 (step @p24 :rule symm :premises (@p9)) % 0.36/0.58 (step @p25 :rule alpha_equiv :args (@t3 (@list @t1) (@list @t22))) % 0.36/0.58 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.58 (step @p27 :rule ho_cong :premises (@p18 @p26)) % 0.36/0.58 (step @p28 :rule refl :args ((tptp.cOPEN @t46))) % 0.36/0.58 (step @p29 :rule refl :args (@t27)) % 0.36/0.58 (step @p30 :rule cong :premises (@p29) :args (@t28)) % 0.36/0.58 (step @p31 :rule refl :args (@t29)) % 0.36/0.58 (step @p32 :rule cong :premises (@p31) :args (@t30)) % 0.36/0.58 (step @p33 :rule nary_cong :premises (@p32 @p30) :args (@t31)) % 0.36/0.58 (step @p34 :rule cong :premises (@p33) :args (@t32)) % 0.36/0.58 (step @p35 :rule cong :premises (@p34) :args (@t33)) % 0.36/0.58 (step @p36 :rule cong :premises (@p35) :args (@t34)) % 0.36/0.58 (step @p37 :rule cong :premises (@p36) :args (@t35)) % 0.36/0.58 (step @p38 :rule trans :premises (@p37 @p28)) % 0.36/0.58 (step @p39 :rule refl :args (tptp.cOPEN)) % 0.36/0.58 (step @p40 :rule ho_cong :premises (@p39 @p36)) % 0.36/0.58 (step @p41 :rule cong :premises (@p40 @p38) :args ((= @t47 @t35))) % 0.36/0.58 (step @p42 :rule symm :premises (@p41)) % 0.36/0.58 (step @p43 :rule refl :args ((_ tptp.cOPEN @t46))) % 0.36/0.58 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.36/0.58 (step @p45 :rule refl :args (@t39)) % 0.36/0.58 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t48)) % 0.36/0.58 (step @p47 :rule cong :premises (@p46) :args ((forall @t18 @t48))) % 0.36/0.58 (step @p48 :rule bool-impl-elim :args (@t38 @t47)) % 0.36/0.58 (step @p49 :rule cong :premises (@p48) :args ((forall @t18 (=> @t38 @t47)))) % 0.36/0.58 (step @p50 :rule trans :premises (@p49 @p47)) % 0.36/0.58 (step @p51 :rule refl :args (@t5)) % 0.36/0.58 (step @p52 :rule cong :premises (@p51 @p29) :args ((= @t5 @t27))) % 0.36/0.58 (step @p53 :rule symm :premises (@p52)) % 0.36/0.58 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.36/0.58 (step @p55 :rule cong :premises (@p54) :args (@t42)) % 0.36/0.58 (step @p56 :rule refl :args (@t7)) % 0.36/0.58 (step @p57 :rule cong :premises (@p56 @p31) :args ((= @t7 @t29))) % 0.36/0.58 (step @p58 :rule symm :premises (@p57)) % 0.36/0.58 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.36/0.58 (step @p60 :rule cong :premises (@p59) :args (@t43)) % 0.36/0.58 (step @p61 :rule nary_cong :premises (@p60 @p55) :args (@t44)) % 0.36/0.58 (step @p62 :rule cong :premises (@p61) :args (@t45)) % 0.36/0.58 (step @p63 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 0.36/0.58 (step @p64 :rule cong :premises (@p63) :args (@t49)) % 0.36/0.58 (step @p65 :rule trans :premises (@p64 @p62)) % 0.36/0.58 (step @p66 :rule cong :premises (@p65) :args (@t50)) % 0.36/0.58 (step @p67 :rule exists-elim :args ((= @t10 @t50))) % 0.36/0.58 (step @p68 :rule trans :premises (@p67 @p66)) % 0.36/0.58 (step @p69 :rule cong :premises (@p68) :args (@t11)) % 0.36/0.58 (step @p70 :rule ho_cong :premises (@p18 @p69)) % 0.36/0.58 (step @p71 :rule refl :args (@t36)) % 0.36/0.58 (step @p72 :rule refl :args (@t13)) % 0.36/0.58 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t13 @t36))) % 0.36/0.58 (step @p74 :rule symm :premises (@p73)) % 0.36/0.58 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.36/0.58 (step @p76 :rule refl :args (@t37)) % 0.36/0.58 (step @p77 :rule refl :args (@t14)) % 0.36/0.58 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t14 @t37))) % 0.36/0.58 (step @p79 :rule symm :premises (@p78)) % 0.36/0.58 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.36/0.58 (step @p81 :rule cong :premises (@p80) :args (@t51)) % 0.36/0.58 (step @p82 :rule nary_cong :premises (@p81 @p75) :args (@t52)) % 0.36/0.58 (step @p83 :rule cong :premises (@p82) :args ((forall @t15 @t52))) % 0.36/0.58 (step @p84 :rule bool-impl-elim :args (@t14 @t13)) % 0.36/0.58 (step @p85 :rule cong :premises (@p84) :args (@t16)) % 0.36/0.58 (step @p86 :rule trans :premises (@p85 @p83)) % 0.36/0.58 (step @p87 :rule cong :premises (@p86 @p70) :args (@t17)) % 0.36/0.58 (step @p88 :rule cong :premises (@p87) :args (@t19)) % 0.36/0.58 (step @p89 :rule trans :premises (@p88 @p50)) % 0.36/0.58 (step @p90 :rule cong :premises (@p89 @p27) :args (@t20)) % 0.36/0.58 (step @p91 :rule cong :premises (@p90) :args (@t21)) % 0.36/0.58 (step @p92 :rule trans :premises (@p91 @p23)) % 0.36/0.58 (step @p93 :rule eq_resolve :premises (@p1 @p92)) % 0.36/0.58 (step @p94 :rule not_implies_elim1 :premises (@p93)) % 0.36/0.58 (step @p95 :rule not_implies_elim2 :premises (@p93)) % 0.36/0.58 (step @p96 :rule cong :premises (@p17) :args (@t53)) % 0.36/0.58 (step @p97 :rule cong :premises (@p21 @p96) :args ((=> @t40 @t53))) % 0.36/0.58 (step @p98 :rule aci_norm :args ((= (or false @t53) @t53))) % 0.36/0.58 (step @p99 :rule evaluate :args ((not true))) % 0.36/0.58 (step @p100 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.36/0.58 (step @p101 :rule absorb :args ((= (or true @t28) true))) % 0.36/0.58 (step @p102 :rule refl :args (@t28)) % 0.36/0.58 (step @p103 :rule evaluate :args ((not false))) % 0.36/0.58 (step @p104 :rule beta-reduce :args ((= @t55 false))) % 0.36/0.58 (step @p105 :rule cong :premises (@p104) :args (@t56)) % 0.36/0.58 (step @p106 :rule trans :premises (@p105 @p103)) % 0.36/0.58 (step @p107 :rule nary_cong :premises (@p106 @p102) :args (@t57)) % 0.36/0.58 (step @p108 :rule trans :premises (@p107 @p101)) % 0.36/0.58 (step @p109 :rule cong :premises (@p108) :args (@t58)) % 0.36/0.58 (step @p110 :rule trans :premises (@p109 @p100)) % 0.36/0.58 (step @p111 :rule cong :premises (@p110) :args (@t59)) % 0.36/0.58 (step @p112 :rule trans :premises (@p111 @p99)) % 0.36/0.58 (step @p113 :rule cong :premises (@p112) :args (@t60)) % 0.36/0.58 (step @p114 :rule trans :premises (@p113 @p26)) % 0.36/0.58 (step @p115 :rule cong :premises (@p114) :args (@t61)) % 0.36/0.58 (step @p116 :rule quant-unused-vars :args ((= (forall @t15 true) true))) % 0.36/0.58 (step @p117 :rule absorb :args ((= (or true @t36) true))) % 0.36/0.58 (step @p118 :rule refl :args (@t36)) % 0.36/0.58 (step @p119 :rule beta-reduce :args ((= @t62 false))) % 0.36/0.58 (step @p120 :rule cong :premises (@p119) :args (@t63)) % 0.36/0.58 (step @p121 :rule trans :premises (@p120 @p103)) % 0.36/0.58 (step @p122 :rule nary_cong :premises (@p121 @p118) :args (@t64)) % 0.36/0.58 (step @p123 :rule trans :premises (@p122 @p117)) % 0.36/0.58 (step @p124 :rule cong :premises (@p123) :args (@t65)) % 0.36/0.58 (step @p125 :rule trans :premises (@p124 @p116)) % 0.36/0.58 (step @p126 :rule cong :premises (@p125) :args (@t66)) % 0.36/0.58 (step @p127 :rule trans :premises (@p126 @p99)) % 0.36/0.58 (step @p128 :rule nary_cong :premises (@p127 @p115) :args (@t67)) % 0.36/0.58 (step @p129 :rule trans :premises (@p128 @p98)) % 0.36/0.58 (step @p130 :rule cong :premises (@p21 @p129) :args ((=> @t40 @t67))) % 0.36/0.58 (assume-push @p139 @t40) % 0.36/0.58 (step @p132 :rule instantiate :premises (@p94) :args ((@list @t54))) % 0.36/0.58 (step-pop @p140 :rule scope :premises (@p132)) % 0.36/0.58 (step @p133 :rule process_scope :premises (@p140) :args (@t67)) % 0.36/0.58 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 0.36/0.58 (step @p136 :rule eq_resolve :premises (@p135 @p97)) % 0.36/0.58 (step @p137 :rule implies_elim :premises (@p136)) % 0.36/0.58 (step @p138 false :rule chain_m_resolution :premises (@p137 @p95 @p94) :args (false (@list true false) (@list @t25 @t40))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------