%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU885^5 : 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 : n010.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 08:53:28 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 % 0.13/0.13 % Problem : SEU885^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:57:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----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 tptp.b 0) % 0.38/0.57 (declare-sort tptp.a 0) % 0.38/0.57 (declare-const tptp.cU (-> tptp.b Bool)) % 0.38/0.57 (declare-const tptp.cV (-> tptp.b Bool)) % 0.38/0.57 (declare-const tptp.cF (-> tptp.b tptp.a)) % 0.38/0.57 (define @t1 () (@var "Xt" tptp.b)) % 0.38/0.57 (define @t2 () (_ tptp.cF @t1)) % 0.38/0.57 (define @t3 () (@var "Xx" tptp.a)) % 0.38/0.57 (define @t4 () (= @t3 @t2)) % 0.38/0.57 (define @t5 () (_ tptp.cV @t1)) % 0.38/0.57 (define @t6 () (and @t5 @t4)) % 0.38/0.57 (define @t7 () (@list @t1)) % 0.38/0.57 (define @t8 () (exists @t7 @t6)) % 0.38/0.57 (define @t9 () (_ tptp.cU @t1)) % 0.38/0.57 (define @t10 () (and @t9 @t4)) % 0.38/0.57 (define @t11 () (exists @t7 @t10)) % 0.38/0.57 (define @t12 () (=> @t11 @t8)) % 0.38/0.57 (define @t13 () (@list @t3)) % 0.38/0.57 (define @t14 () (forall @t13 @t12)) % 0.38/0.57 (define @t15 () (@var "Xx" tptp.b)) % 0.38/0.57 (define @t16 () (_ tptp.cV @t15)) % 0.38/0.57 (define @t17 () (_ tptp.cU @t15)) % 0.38/0.57 (define @t18 () (@list @t15)) % 0.38/0.57 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.38/0.57 (define @t20 () (=> @t19 @t14)) % 0.38/0.57 (define @t21 () (not @t20)) % 0.38/0.57 (define @t22 () (@var "BOUND_VARIABLE_7473" tptp.b)) % 0.38/0.57 (define @t23 () (not (tptp.cU @t22))) % 0.38/0.57 (define @t24 () (tptp.cF @t22)) % 0.38/0.57 (define @t25 () (tptp.cF @t1)) % 0.38/0.57 (define @t26 () (tptp.cV @t1)) % 0.38/0.57 (define @t27 () (not @t26)) % 0.38/0.57 (define @t28 () (not (forall @t7 (or @t27 (not (= @t25 @t24)))))) % 0.38/0.57 (define @t29 () (or @t28 @t23)) % 0.38/0.57 (define @t30 () (not (= @t24 @t24))) % 0.38/0.57 (define @t31 () (not (= @t24 @t25))) % 0.38/0.57 (define @t32 () (or @t27 @t31)) % 0.38/0.57 (define @t33 () (forall @t7 @t32)) % 0.38/0.57 (define @t34 () (not @t33)) % 0.38/0.57 (define @t35 () (or @t34 @t23 @t30)) % 0.38/0.57 (define @t36 () (@list @t22)) % 0.38/0.57 (define @t37 () (not (= @t3 @t24))) % 0.38/0.57 (define @t38 () (not (= @t3 @t25))) % 0.38/0.57 (define @t39 () (not (forall @t7 (or @t27 @t38)))) % 0.38/0.57 (define @t40 () (or @t37 @t39 @t23 @t37)) % 0.38/0.57 (define @t41 () (or @t39 @t23 @t37)) % 0.38/0.57 (define @t42 () (forall @t13 @t41)) % 0.38/0.57 (define @t43 () (forall @t36 @t42)) % 0.38/0.57 (define @t44 () (forall (@list @t22 @t3) @t41)) % 0.38/0.57 (define @t45 () (@list @t3 @t22)) % 0.38/0.57 (define @t46 () (or @t23 @t37)) % 0.38/0.57 (define @t47 () (or @t46 @t39)) % 0.38/0.57 (define @t48 () (forall @t45 @t47)) % 0.38/0.57 (define @t49 () (forall @t36 @t47)) % 0.38/0.57 (define @t50 () (forall @t36 @t46)) % 0.38/0.57 (define @t51 () (or @t50 @t39)) % 0.38/0.57 (define @t52 () (tptp.cU @t1)) % 0.38/0.57 (define @t53 () (forall @t7 (or (not @t52) @t38))) % 0.38/0.57 (define @t54 () (not @t53)) % 0.38/0.57 (define @t55 () (not @t4)) % 0.38/0.57 (define @t56 () (not @t5)) % 0.38/0.57 (define @t57 () (or @t56 @t55)) % 0.38/0.57 (define @t58 () (forall @t7 (not @t6))) % 0.38/0.57 (define @t59 () (not @t58)) % 0.38/0.57 (define @t60 () (not @t9)) % 0.38/0.57 (define @t61 () (or @t60 @t55)) % 0.38/0.57 (define @t62 () (forall @t7 (not @t10))) % 0.38/0.57 (define @t63 () (not @t62)) % 0.38/0.57 (define @t64 () (tptp.cV @t15)) % 0.38/0.57 (define @t65 () (tptp.cU @t15)) % 0.38/0.57 (define @t66 () (not @t17)) % 0.38/0.57 (define @t67 () (or @t66 @t16)) % 0.38/0.57 (define @t68 () (@quantifiers_skolemize (forall @t36 @t29) 0)) % 0.38/0.57 (define @t69 () (tptp.cF @t68)) % 0.38/0.57 (define @t70 () (forall @t7 (or @t27 (not (= @t25 @t69))))) % 0.38/0.57 (define @t71 () (tptp.cU @t68)) % 0.38/0.57 (define @t72 () (not @t71)) % 0.38/0.57 (define @t73 () (not @t70)) % 0.38/0.57 (define @t74 () (or @t73 @t72)) % 0.38/0.57 (define @t75 () (@list true)) % 0.38/0.57 (define @t76 () (@list @t74)) % 0.38/0.57 (define @t77 () (@list @t68)) % 0.38/0.57 (define @t78 () (tptp.cV @t68)) % 0.38/0.57 (define @t79 () (or @t72 @t78)) % 0.38/0.57 (define @t80 () (@list false false)) % 0.38/0.57 (define @t81 () (not @t78)) % 0.38/0.57 (define @t82 () (not (= @t69 @t69))) % 0.38/0.57 (define @t83 () (or @t81 @t82)) % 0.38/0.57 (assume @p1 @t21) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule aci_norm :args ((= (or @t28 @t23 false) @t29))) % 0.38/0.57 (step @p4 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p5 :rule eq-refl :args (@t24)) % 0.38/0.57 (step @p6 :rule cong :premises (@p5) :args (@t30)) % 0.38/0.57 (step @p7 :rule trans :premises (@p6 @p4)) % 0.38/0.57 (step @p8 :rule refl :args (@t23)) % 0.38/0.57 (step @p9 :rule eq-symm :args (@t24 @t25)) % 0.38/0.57 (step @p10 :rule cong :premises (@p9) :args (@t31)) % 0.38/0.57 (step @p11 :rule refl :args (@t27)) % 0.38/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t32)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args (@t33)) % 0.38/0.57 (step @p14 :rule cong :premises (@p13) :args (@t34)) % 0.38/0.57 (step @p15 :rule nary_cong :premises (@p14 @p8 @p7) :args (@t35)) % 0.38/0.57 (step @p16 :rule trans :premises (@p15 @p3)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16) :args ((forall @t36 @t35))) % 0.38/0.57 (step @p18 :rule quant-var-elim-eq :args ((= (forall @t13 @t40) @t35))) % 0.38/0.57 (step @p19 :rule aci_norm :args ((= @t41 @t40))) % 0.38/0.57 (step @p20 :rule cong :premises (@p19) :args (@t42)) % 0.38/0.57 (step @p21 :rule trans :premises (@p20 @p18)) % 0.38/0.57 (step @p22 :rule cong :premises (@p21) :args (@t43)) % 0.38/0.57 (step @p23 :rule quant-merge-prenex :args ((= @t43 @t44))) % 0.38/0.57 (step @p24 :rule symm :premises (@p23)) % 0.38/0.57 (step @p25 :rule quant_var_reordering :args ((= (forall @t45 @t41) @t44))) % 0.38/0.57 (step @p26 :rule trans :premises (@p25 @p24 @p22)) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p17)) % 0.38/0.57 (step @p28 :rule aci_norm :args ((= @t47 @t41))) % 0.38/0.57 (step @p29 :rule cong :premises (@p28) :args (@t48)) % 0.38/0.57 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.57 (step @p31 :rule quant-merge-prenex :args ((= (forall @t13 @t49) @t48))) % 0.38/0.57 (step @p32 :rule refl :args (@t39)) % 0.38/0.57 (step @p33 :rule alpha_equiv :args (@t50 (@list @t22) (@list @t1))) % 0.38/0.57 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t51)) % 0.38/0.57 (step @p35 :rule quant-miniscope-or :args ((= @t49 @t51))) % 0.38/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.57 (step @p37 :rule symm :premises (@p36)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args ((forall @t13 (or @t53 @t39)))) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p31)) % 0.38/0.57 (step @p40 :rule trans :premises (@p39 @p30)) % 0.38/0.57 (step @p41 :rule bool-double-not-elim :args (@t53)) % 0.38/0.57 (step @p42 :rule nary_cong :premises (@p41 @p32) :args ((or (not @t54) @t39))) % 0.38/0.57 (step @p43 :rule bool-impl-elim :args (@t54 @t39)) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44) :args ((forall @t13 (=> @t54 @t39)))) % 0.38/0.57 (step @p46 :rule trans :premises (@p45 @p40)) % 0.38/0.57 (step @p47 :rule refl :args (@t25)) % 0.38/0.57 (step @p48 :rule refl :args (@t2)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t2 @t25))) % 0.38/0.57 (step @p50 :rule symm :premises (@p49)) % 0.38/0.57 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.38/0.57 (step @p52 :rule refl :args (@t3)) % 0.38/0.57 (step @p53 :rule cong :premises (@p52 @p51) :args (@t4)) % 0.38/0.57 (step @p54 :rule cong :premises (@p53) :args (@t55)) % 0.38/0.57 (step @p55 :rule refl :args (@t26)) % 0.38/0.57 (step @p56 :rule refl :args (@t5)) % 0.38/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t5 @t26))) % 0.38/0.57 (step @p58 :rule symm :premises (@p57)) % 0.38/0.57 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t56)) % 0.38/0.57 (step @p61 :rule nary_cong :premises (@p60 @p54) :args (@t57)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61) :args ((forall @t7 @t57))) % 0.38/0.57 (step @p63 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.38/0.57 (step @p64 :rule cong :premises (@p63) :args (@t58)) % 0.38/0.57 (step @p65 :rule trans :premises (@p64 @p62)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args (@t59)) % 0.38/0.57 (step @p67 :rule exists-elim :args ((= @t8 @t59))) % 0.38/0.57 (step @p68 :rule trans :premises (@p67 @p66)) % 0.38/0.57 (step @p69 :rule refl :args (@t52)) % 0.38/0.57 (step @p70 :rule refl :args (@t9)) % 0.38/0.57 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t9 @t52))) % 0.38/0.57 (step @p72 :rule symm :premises (@p71)) % 0.38/0.57 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.38/0.57 (step @p74 :rule cong :premises (@p73) :args (@t60)) % 0.38/0.57 (step @p75 :rule nary_cong :premises (@p74 @p54) :args (@t61)) % 0.38/0.57 (step @p76 :rule cong :premises (@p75) :args ((forall @t7 @t61))) % 0.38/0.57 (step @p77 :rule bool-and-de-morgan :args (@t9 @t4 true)) % 0.38/0.57 (step @p78 :rule cong :premises (@p77) :args (@t62)) % 0.38/0.57 (step @p79 :rule trans :premises (@p78 @p76)) % 0.38/0.57 (step @p80 :rule cong :premises (@p79) :args (@t63)) % 0.38/0.57 (step @p81 :rule exists-elim :args ((= @t11 @t63))) % 0.38/0.57 (step @p82 :rule trans :premises (@p81 @p80)) % 0.38/0.57 (step @p83 :rule cong :premises (@p82 @p68) :args (@t12)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83) :args (@t14)) % 0.38/0.57 (step @p85 :rule trans :premises (@p84 @p46)) % 0.38/0.57 (step @p86 :rule refl :args (@t64)) % 0.38/0.57 (step @p87 :rule refl :args (@t16)) % 0.38/0.57 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t16 @t64))) % 0.38/0.57 (step @p89 :rule symm :premises (@p88)) % 0.38/0.57 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.38/0.57 (step @p91 :rule refl :args (@t65)) % 0.38/0.57 (step @p92 :rule refl :args (@t17)) % 0.38/0.57 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t17 @t65))) % 0.38/0.57 (step @p94 :rule symm :premises (@p93)) % 0.38/0.57 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.38/0.57 (step @p96 :rule cong :premises (@p95) :args (@t66)) % 0.38/0.57 (step @p97 :rule nary_cong :premises (@p96 @p90) :args (@t67)) % 0.38/0.57 (step @p98 :rule cong :premises (@p97) :args ((forall @t18 @t67))) % 0.38/0.58 (step @p99 :rule bool-impl-elim :args (@t17 @t16)) % 0.38/0.58 (step @p100 :rule cong :premises (@p99) :args (@t19)) % 0.38/0.58 (step @p101 :rule trans :premises (@p100 @p98)) % 0.38/0.58 (step @p102 :rule cong :premises (@p101 @p85) :args (@t20)) % 0.38/0.58 (step @p103 :rule cong :premises (@p102) :args (@t21)) % 0.38/0.58 (step @p104 :rule eq_resolve :premises (@p1 @p103)) % 0.38/0.58 (step @p105 :rule not_implies_elim2 :premises (@p104)) % 0.38/0.58 (step @p106 :rule skolemize :premises (@p105)) % 0.38/0.58 (step @p107 :rule bool-double-not-elim :args (@t70)) % 0.38/0.58 (step @p108 :rule refl :args (@t74)) % 0.38/0.58 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t74 (not @t73)))) % 0.38/0.58 (step @p110 :rule cnf_or_neg :args (@t74 0)) % 0.38/0.58 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.38/0.58 (step @p112 :rule reordering :premises (@p111) :args ((or @t70 @t74))) % 0.38/0.58 (step @p113 :rule chain_m_resolution :premises (@p112 @p106) :args (@t70 @t75 @t76)) % 0.38/0.58 (step @p114 :rule not_implies_elim1 :premises (@p104)) % 0.38/0.58 (step @p115 :rule instantiate :premises (@p114) :args (@t77)) % 0.38/0.58 (step @p116 :rule bool-double-not-elim :args (@t71)) % 0.38/0.58 (step @p117 :rule nary_cong :premises (@p108 @p116) :args ((or @t74 (not @t72)))) % 0.38/0.58 (step @p118 :rule cnf_or_neg :args (@t74 1)) % 0.38/0.58 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.38/0.58 (step @p120 :rule reordering :premises (@p119) :args ((or @t71 @t74))) % 0.38/0.58 (step @p121 :rule chain_m_resolution :premises (@p120 @p106) :args (@t71 @t75 @t76)) % 0.38/0.58 (step @p122 :rule cnf_or_pos :args (@t79)) % 0.38/0.58 (step @p123 :rule reordering :premises (@p122) :args ((or @t72 @t78 (not @t79)))) % 0.38/0.58 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p115) :args (@t78 @t80 (@list @t71 @t79))) % 0.38/0.58 (step @p125 :rule aci_norm :args ((= (or @t81 false) @t81))) % 0.38/0.58 (step @p126 :rule eq-refl :args (@t69)) % 0.38/0.58 (step @p127 :rule cong :premises (@p126) :args (@t82)) % 0.38/0.58 (step @p128 :rule trans :premises (@p127 @p4)) % 0.38/0.58 (step @p129 :rule refl :args (@t81)) % 0.38/0.58 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t83)) % 0.38/0.58 (step @p131 :rule trans :premises (@p130 @p125)) % 0.38/0.58 (step @p132 :rule refl :args (@t70)) % 0.38/0.58 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t70 @t83))) % 0.38/0.58 (assume-push @p141 @t70) % 0.38/0.58 (step @p135 :rule instantiate :premises (@p113) :args (@t77)) % 0.38/0.58 (step-pop @p142 :rule scope :premises (@p135)) % 0.38/0.58 (step @p136 :rule process_scope :premises (@p142) :args (@t83)) % 0.38/0.58 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 0.38/0.58 (step @p139 :rule implies_elim :premises (@p138)) % 0.38/0.58 (step @p140 false :rule chain_m_resolution :premises (@p139 @p124 @p113) :args (false @t80 (@list @t78 @t70))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------