%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET633^5 : 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 : n029.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 08:48:19 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 % 0.00/0.12 % Problem : SET633^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.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 16:05:32 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----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.a 0) % 0.38/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.38/0.57 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.38/0.57 (define @t3 () (_ @t2 @t1)) % 0.38/0.57 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.38/0.57 (define @t5 () (_ @t4 @t1)) % 0.38/0.57 (define @t6 () (not @t5)) % 0.38/0.57 (define @t7 () (@var "Y" (-> tptp.a Bool))) % 0.38/0.57 (define @t8 () (_ @t7 @t1)) % 0.38/0.57 (define @t9 () (and @t8 @t6)) % 0.38/0.57 (define @t10 () (not @t8)) % 0.38/0.57 (define @t11 () (and @t5 @t10)) % 0.38/0.57 (define @t12 () (or @t11 @t9)) % 0.38/0.57 (define @t13 () (@list @t1)) % 0.38/0.57 (define @t14 () (forall @t13 (=> @t12 @t3))) % 0.38/0.57 (define @t15 () (forall @t13 (=> @t9 @t3))) % 0.38/0.57 (define @t16 () (forall @t13 (=> @t11 @t3))) % 0.38/0.57 (define @t17 () (and @t16 @t15)) % 0.38/0.57 (define @t18 () (=> @t17 @t14)) % 0.38/0.57 (define @t19 () (@list @t4 @t7 @t2)) % 0.38/0.57 (define @t20 () (forall @t19 @t18)) % 0.38/0.57 (define @t21 () (not @t20)) % 0.38/0.57 (define @t22 () (@var "BOUND_VARIABLE_7467" tptp.a)) % 0.38/0.57 (define @t23 () (_ @t2 @t22)) % 0.38/0.57 (define @t24 () (_ @t4 @t22)) % 0.38/0.57 (define @t25 () (_ @t7 @t22)) % 0.38/0.57 (define @t26 () (and (or (not @t24) @t25) (or (not @t25) @t24))) % 0.38/0.57 (define @t27 () (_ @t2 @t1)) % 0.38/0.57 (define @t28 () (_ @t4 @t1)) % 0.38/0.57 (define @t29 () (_ @t7 @t1)) % 0.38/0.57 (define @t30 () (not @t29)) % 0.38/0.57 (define @t31 () (forall @t13 (or @t30 @t28 @t27))) % 0.38/0.57 (define @t32 () (not @t31)) % 0.38/0.57 (define @t33 () (not @t28)) % 0.38/0.57 (define @t34 () (forall @t13 (or @t33 @t29 @t27))) % 0.38/0.57 (define @t35 () (not @t34)) % 0.38/0.57 (define @t36 () (or @t35 @t32 @t26 @t23)) % 0.38/0.57 (define @t37 () (or @t26 @t23)) % 0.38/0.57 (define @t38 () (or @t35 @t32 @t37)) % 0.38/0.57 (define @t39 () (@list @t4 @t7 @t2 @t22)) % 0.38/0.57 (define @t40 () (forall @t39 @t38)) % 0.38/0.57 (define @t41 () (@list @t22)) % 0.38/0.57 (define @t42 () (forall @t41 @t38)) % 0.38/0.57 (define @t43 () (forall @t41 @t37)) % 0.38/0.57 (define @t44 () (or @t35 @t32 @t43)) % 0.38/0.57 (define @t45 () (forall @t13 (or (and (or @t33 @t29) (or @t30 @t28)) @t27))) % 0.38/0.57 (define @t46 () (or @t35 @t32 @t45)) % 0.38/0.57 (define @t47 () (and @t34 @t31)) % 0.38/0.57 (define @t48 () (or @t10 @t5)) % 0.38/0.57 (define @t49 () (or @t6 @t8)) % 0.38/0.57 (define @t50 () (and @t49 @t48)) % 0.38/0.57 (define @t51 () (or @t50 @t3)) % 0.38/0.57 (define @t52 () (not @t9)) % 0.38/0.57 (define @t53 () (not @t11)) % 0.38/0.57 (define @t54 () (or @t10 @t5 @t3)) % 0.38/0.57 (define @t55 () (or @t6 @t8 @t3)) % 0.38/0.57 (define @t56 () (forall @t39 @t36)) % 0.38/0.57 (define @t57 () (@quantifiers_skolemize @t56 2)) % 0.38/0.57 (define @t58 () (_ @t57 @t1)) % 0.38/0.57 (define @t59 () (@quantifiers_skolemize @t56 0)) % 0.38/0.57 (define @t60 () (_ @t59 @t1)) % 0.38/0.57 (define @t61 () (@quantifiers_skolemize @t56 1)) % 0.38/0.57 (define @t62 () (_ @t61 @t1)) % 0.38/0.57 (define @t63 () (forall @t13 (or (not @t62) @t60 @t58))) % 0.38/0.57 (define @t64 () (@quantifiers_skolemize @t56 3)) % 0.38/0.57 (define @t65 () (_ @t57 @t64)) % 0.38/0.57 (define @t66 () (_ @t59 @t64)) % 0.38/0.57 (define @t67 () (_ @t61 @t64)) % 0.38/0.57 (define @t68 () (not @t67)) % 0.38/0.57 (define @t69 () (or @t68 @t66)) % 0.38/0.57 (define @t70 () (not @t66)) % 0.38/0.57 (define @t71 () (or @t70 @t67)) % 0.38/0.57 (define @t72 () (and @t71 @t69)) % 0.38/0.57 (define @t73 () (not @t63)) % 0.38/0.57 (define @t74 () (forall @t13 (or (not @t60) @t62 @t58))) % 0.38/0.57 (define @t75 () (not @t74)) % 0.38/0.57 (define @t76 () (or @t75 @t73 @t72 @t65)) % 0.38/0.57 (define @t77 () (@list true)) % 0.38/0.57 (define @t78 () (@list @t76)) % 0.38/0.57 (define @t79 () (@list @t64)) % 0.38/0.57 (define @t80 () (or @t70 @t67 @t65)) % 0.38/0.57 (define @t81 () (@list true false)) % 0.38/0.57 (define @t82 () (or @t68 @t66 @t65)) % 0.38/0.57 (define @t83 () (not @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 ((= @t38 @t36))) % 0.38/0.57 (step @p4 :rule cong :premises (@p3) :args (@t40)) % 0.38/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t19 @t42) @t40))) % 0.38/0.57 (step @p6 :rule alpha_equiv :args (@t43 (@list @t22) (@list @t1))) % 0.38/0.57 (step @p7 :rule refl :args (@t32)) % 0.38/0.57 (step @p8 :rule refl :args (@t35)) % 0.38/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t44)) % 0.38/0.57 (step @p10 :rule quant-miniscope-or :args ((= @t42 @t44))) % 0.38/0.57 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.57 (step @p12 :rule symm :premises (@p11)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t19 @t46))) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p5)) % 0.38/0.57 (step @p15 :rule trans :premises (@p14 @p4)) % 0.38/0.57 (step @p16 :rule aci_norm :args ((= (or (or @t35 @t32) @t45) @t46))) % 0.38/0.57 (step @p17 :rule refl :args (@t45)) % 0.38/0.57 (step @p18 :rule bool-and-de-morgan :args (@t34 @t31 true)) % 0.38/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t47) @t45))) % 0.38/0.57 (step @p20 :rule trans :premises (@p19 @p16)) % 0.38/0.57 (step @p21 :rule bool-impl-elim :args (@t47 @t45)) % 0.38/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t19 (=> @t47 @t45)))) % 0.38/0.57 (step @p24 :rule trans :premises (@p23 @p15)) % 0.38/0.57 (step @p25 :rule refl :args (@t27)) % 0.38/0.57 (step @p26 :rule refl :args (@t3)) % 0.38/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t27))) % 0.38/0.57 (step @p28 :rule symm :premises (@p27)) % 0.38/0.57 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.38/0.57 (step @p30 :rule refl :args (@t28)) % 0.38/0.57 (step @p31 :rule refl :args (@t5)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t5 @t28))) % 0.38/0.57 (step @p33 :rule symm :premises (@p32)) % 0.38/0.57 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.57 (step @p35 :rule refl :args (@t29)) % 0.38/0.57 (step @p36 :rule refl :args (@t8)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t8 @t29))) % 0.38/0.57 (step @p38 :rule symm :premises (@p37)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.38/0.57 (step @p40 :rule cong :premises (@p39) :args (@t10)) % 0.38/0.57 (step @p41 :rule nary_cong :premises (@p40 @p34) :args (@t48)) % 0.38/0.57 (step @p42 :rule cong :premises (@p34) :args (@t6)) % 0.38/0.57 (step @p43 :rule nary_cong :premises (@p42 @p39) :args (@t49)) % 0.38/0.57 (step @p44 :rule nary_cong :premises (@p43 @p41) :args (@t50)) % 0.38/0.57 (step @p45 :rule nary_cong :premises (@p44 @p29) :args (@t51)) % 0.38/0.57 (step @p46 :rule cong :premises (@p45) :args ((forall @t13 @t51))) % 0.38/0.57 (step @p47 :rule bool-double-not-elim :args (@t5)) % 0.38/0.57 (step @p48 :rule refl :args (@t10)) % 0.38/0.57 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t10 (not @t6)))) % 0.38/0.57 (step @p50 :rule bool-and-de-morgan :args (@t8 @t6 true)) % 0.38/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.57 (step @p52 :rule bool-double-not-elim :args (@t8)) % 0.38/0.57 (step @p53 :rule refl :args (@t6)) % 0.38/0.57 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t6 (not @t10)))) % 0.38/0.57 (step @p55 :rule bool-and-de-morgan :args (@t5 @t10 true)) % 0.38/0.57 (step @p56 :rule trans :premises (@p55 @p54)) % 0.38/0.57 (step @p57 :rule nary_cong :premises (@p56 @p51) :args ((and @t53 @t52))) % 0.38/0.57 (step @p58 :rule bool-or-de-morgan :args (@t11 @t9 false)) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.57 (step @p60 :rule nary_cong :premises (@p59 @p26) :args ((or (not @t12) @t3))) % 0.38/0.57 (step @p61 :rule bool-impl-elim :args (@t12 @t3)) % 0.38/0.57 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.57 (step @p63 :rule cong :premises (@p62) :args (@t14)) % 0.38/0.57 (step @p64 :rule trans :premises (@p63 @p46)) % 0.38/0.57 (step @p65 :rule nary_cong :premises (@p40 @p34 @p29) :args (@t54)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args ((forall @t13 @t54))) % 0.38/0.57 (step @p67 :rule aci_norm :args ((= (or @t48 @t3) @t54))) % 0.38/0.57 (step @p68 :rule nary_cong :premises (@p51 @p26) :args ((or @t52 @t3))) % 0.38/0.57 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.57 (step @p70 :rule bool-impl-elim :args (@t9 @t3)) % 0.38/0.57 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71) :args (@t15)) % 0.38/0.57 (step @p73 :rule trans :premises (@p72 @p66)) % 0.38/0.57 (step @p74 :rule nary_cong :premises (@p42 @p39 @p29) :args (@t55)) % 0.38/0.57 (step @p75 :rule cong :premises (@p74) :args ((forall @t13 @t55))) % 0.38/0.57 (step @p76 :rule aci_norm :args ((= (or @t49 @t3) @t55))) % 0.38/0.57 (step @p77 :rule nary_cong :premises (@p56 @p26) :args ((or @t53 @t3))) % 0.38/0.57 (step @p78 :rule trans :premises (@p77 @p76)) % 0.38/0.57 (step @p79 :rule bool-impl-elim :args (@t11 @t3)) % 0.38/0.57 (step @p80 :rule trans :premises (@p79 @p78)) % 0.38/0.57 (step @p81 :rule cong :premises (@p80) :args (@t16)) % 0.38/0.57 (step @p82 :rule trans :premises (@p81 @p75)) % 0.38/0.57 (step @p83 :rule nary_cong :premises (@p82 @p73) :args (@t17)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83 @p64) :args (@t18)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84) :args (@t20)) % 0.38/0.57 (step @p86 :rule trans :premises (@p85 @p24)) % 0.38/0.57 (step @p87 :rule cong :premises (@p86) :args (@t21)) % 0.38/0.57 (step @p88 :rule eq_resolve :premises (@p1 @p87)) % 0.38/0.57 (step @p89 :rule skolemize :premises (@p88)) % 0.38/0.57 (step @p90 :rule bool-double-not-elim :args (@t63)) % 0.38/0.57 (step @p91 :rule refl :args (@t76)) % 0.38/0.57 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t76 (not @t73)))) % 0.38/0.57 (step @p93 :rule cnf_or_neg :args (@t76 1)) % 0.38/0.57 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.38/0.57 (step @p95 :rule reordering :premises (@p94) :args ((or @t63 @t76))) % 0.38/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t63 @t77 @t78)) % 0.38/0.57 (step @p97 :rule cnf_or_neg :args (@t76 3)) % 0.38/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p89) :args ((not @t65) @t77 @t78)) % 0.38/0.57 (step @p99 :rule cnf_or_neg :args (@t69 1)) % 0.38/0.57 (step @p100 :rule reordering :premises (@p99) :args ((or @t70 @t69))) % 0.38/0.57 (step @p101 :rule bool-double-not-elim :args (@t74)) % 0.38/0.57 (step @p102 :rule nary_cong :premises (@p91 @p101) :args ((or @t76 (not @t75)))) % 0.38/0.57 (step @p103 :rule cnf_or_neg :args (@t76 0)) % 0.38/0.57 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.38/0.57 (step @p105 :rule reordering :premises (@p104) :args ((or @t74 @t76))) % 0.38/0.57 (step @p106 :rule chain_m_resolution :premises (@p105 @p89) :args (@t74 @t77 @t78)) % 0.38/0.57 (step @p107 :rule instantiate :premises (@p106) :args (@t79)) % 0.38/0.57 (step @p108 :rule cnf_or_pos :args (@t80)) % 0.38/0.57 (step @p109 :rule reordering :premises (@p108) :args ((or @t70 @t67 @t65 (not @t80)))) % 0.38/0.57 (step @p110 :rule cnf_or_neg :args (@t76 2)) % 0.38/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p89) :args ((not @t72) @t77 @t78)) % 0.38/0.57 (step @p112 :rule cnf_and_neg :args (@t72)) % 0.38/0.57 (step @p113 :rule cnf_or_neg :args (@t71 1)) % 0.38/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p112 @p111 @p109 @p107 @p98 @p100) :args (@t70 (@list true true false false true false) (@list @t71 @t72 @t67 @t80 @t65 @t69))) % 0.38/0.57 (step @p115 :rule bool-double-not-elim :args (@t66)) % 0.38/0.57 (step @p116 :rule refl :args (@t71)) % 0.38/0.57 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t71 (not @t70)))) % 0.38/0.57 (step @p118 :rule cnf_or_neg :args (@t71 0)) % 0.38/0.57 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.38/0.57 (step @p120 :rule reordering :premises (@p119) :args ((or @t66 @t71))) % 0.38/0.57 (step @p121 :rule chain_m_resolution :premises (@p120 @p114) :args (@t71 @t77 (@list @t66))) % 0.38/0.57 (step @p122 :rule chain_m_resolution :premises (@p112 @p111 @p121) :args ((not @t69) @t81 (@list @t72 @t71))) % 0.38/0.57 (step @p123 :rule bool-double-not-elim :args (@t67)) % 0.38/0.57 (step @p124 :rule refl :args (@t69)) % 0.38/0.57 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t69 (not @t68)))) % 0.38/0.57 (step @p126 :rule cnf_or_neg :args (@t69 0)) % 0.38/0.57 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.38/0.57 (step @p128 :rule reordering :premises (@p127) :args ((or @t67 @t69))) % 0.38/0.57 (step @p129 :rule chain_m_resolution :premises (@p128 @p122) :args (@t67 @t77 (@list @t69))) % 0.38/0.57 (step @p130 :rule cnf_or_pos :args (@t82)) % 0.38/0.57 (step @p131 :rule reordering :premises (@p130) :args ((or @t66 @t68 @t65 @t83))) % 0.38/0.57 (step @p132 :rule chain_m_resolution :premises (@p131 @p114 @p129 @p98) :args (@t83 (@list true false true) (@list @t66 @t67 @t65))) % 0.38/0.57 (assume-push @p139 @t63) % 0.38/0.57 (step @p134 :rule instantiate :premises (@p96) :args (@t79)) % 0.38/0.57 (step-pop @p140 :rule scope :premises (@p134)) % 0.38/0.57 (step @p135 :rule process_scope :premises (@p140) :args (@t82)) % 0.38/0.57 (step @p137 :rule implies_elim :premises (@p135)) % 0.38/0.57 (step @p138 false :rule chain_m_resolution :premises (@p137 @p132 @p96) :args (false @t81 (@list @t82 @t63))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------