%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV131^5 : 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 : n013.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 08:55:29 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV131^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n013.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:14:45 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort tptp.a 0) % 0.37/0.57 (define @t1 () (@var "Xy" tptp.a)) % 0.37/0.57 (define @t2 () (@var "Xx0" (-> tptp.a Bool))) % 0.37/0.57 (define @t3 () (_ @t2 @t1)) % 0.37/0.57 (define @t4 () (@var "Xx" tptp.a)) % 0.37/0.57 (define @t5 () (_ @t2 @t4)) % 0.37/0.57 (define @t6 () (=> @t5 @t3)) % 0.37/0.57 (define @t7 () (@var "Xz" tptp.a)) % 0.37/0.57 (define @t8 () (_ @t2 @t7)) % 0.37/0.57 (define @t9 () (@var "Xy0" tptp.a)) % 0.37/0.57 (define @t10 () (_ @t2 @t9)) % 0.37/0.57 (define @t11 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 0.37/0.57 (define @t12 () (_ (_ @t11 @t9) @t7)) % 0.37/0.57 (define @t13 () (and @t12 @t10)) % 0.37/0.57 (define @t14 () (@list @t9 @t7)) % 0.37/0.57 (define @t15 () (forall @t14 (=> @t13 @t8))) % 0.37/0.57 (define @t16 () (=> @t15 @t6)) % 0.37/0.57 (define @t17 () (@list @t2)) % 0.37/0.57 (define @t18 () (forall @t17 @t16)) % 0.37/0.57 (define @t19 () (_ (_ @t11 @t4) @t1)) % 0.37/0.57 (define @t20 () (=> @t19 @t18)) % 0.37/0.57 (define @t21 () (@list @t11 @t4 @t1)) % 0.37/0.57 (define @t22 () (forall @t21 @t20)) % 0.37/0.57 (define @t23 () (not @t22)) % 0.37/0.57 (define @t24 () (@var "BOUND_VARIABLE_7469" (-> tptp.a Bool))) % 0.37/0.57 (define @t25 () (_ @t24 @t1)) % 0.37/0.57 (define @t26 () (not (_ @t24 @t4))) % 0.37/0.57 (define @t27 () (_ @t11 @t9 @t7)) % 0.37/0.57 (define @t28 () (not @t27)) % 0.37/0.57 (define @t29 () (not (forall @t14 (or @t28 (not (_ @t24 @t9)) (_ @t24 @t7))))) % 0.37/0.57 (define @t30 () (_ @t11 @t4 @t1)) % 0.37/0.57 (define @t31 () (not @t30)) % 0.37/0.57 (define @t32 () (or @t31 @t29 @t26 @t25)) % 0.37/0.57 (define @t33 () (or @t29 @t26 @t25)) % 0.37/0.57 (define @t34 () (or @t31 @t33)) % 0.37/0.57 (define @t35 () (@list @t11 @t4 @t1 @t24)) % 0.37/0.57 (define @t36 () (forall @t35 @t34)) % 0.37/0.57 (define @t37 () (@list @t24)) % 0.37/0.57 (define @t38 () (forall @t37 @t34)) % 0.37/0.57 (define @t39 () (forall @t37 @t33)) % 0.37/0.57 (define @t40 () (or @t31 @t39)) % 0.37/0.57 (define @t41 () (_ @t2 @t1)) % 0.37/0.57 (define @t42 () (_ @t2 @t4)) % 0.37/0.57 (define @t43 () (_ @t2 @t7)) % 0.37/0.57 (define @t44 () (_ @t2 @t9)) % 0.37/0.57 (define @t45 () (forall @t14 (or @t28 (not @t44) @t43))) % 0.37/0.57 (define @t46 () (not @t45)) % 0.37/0.57 (define @t47 () (forall @t17 (or @t46 (not @t42) @t41))) % 0.37/0.57 (define @t48 () (not @t19)) % 0.37/0.57 (define @t49 () (or @t48 @t47)) % 0.37/0.57 (define @t50 () (not @t5)) % 0.37/0.57 (define @t51 () (or @t46 @t50 @t3)) % 0.37/0.57 (define @t52 () (not @t10)) % 0.37/0.57 (define @t53 () (not @t12)) % 0.37/0.57 (define @t54 () (or @t53 @t52 @t8)) % 0.37/0.57 (define @t55 () (forall @t35 @t32)) % 0.37/0.57 (define @t56 () (@quantifiers_skolemize @t55 3)) % 0.37/0.57 (define @t57 () (@quantifiers_skolemize @t55 0)) % 0.37/0.57 (define @t58 () (forall @t14 (or (not (_ @t57 @t9 @t7)) (not (_ @t56 @t9)) (_ @t56 @t7)))) % 0.37/0.57 (define @t59 () (@quantifiers_skolemize @t55 2)) % 0.37/0.57 (define @t60 () (_ @t56 @t59)) % 0.37/0.57 (define @t61 () (@quantifiers_skolemize @t55 1)) % 0.37/0.57 (define @t62 () (_ @t56 @t61)) % 0.37/0.57 (define @t63 () (not @t62)) % 0.37/0.57 (define @t64 () (not @t58)) % 0.37/0.57 (define @t65 () (_ @t57 @t61 @t59)) % 0.37/0.57 (define @t66 () (not @t65)) % 0.37/0.57 (define @t67 () (or @t66 @t64 @t63 @t60)) % 0.37/0.57 (define @t68 () (@list true)) % 0.37/0.57 (define @t69 () (@list @t67)) % 0.37/0.57 (define @t70 () (or @t66 @t63 @t60)) % 0.37/0.57 (define @t71 () (not @t70)) % 0.37/0.57 (assume @p1 @t23) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule aci_norm :args ((= @t34 @t32))) % 0.37/0.57 (step @p4 :rule cong :premises (@p3) :args (@t36)) % 0.37/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t21 @t38) @t36))) % 0.37/0.57 (step @p6 :rule alpha_equiv :args (@t39 (@list @t24) (@list @t2))) % 0.37/0.57 (step @p7 :rule refl :args (@t31)) % 0.37/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t40)) % 0.37/0.57 (step @p9 :rule quant-miniscope-or :args ((= @t38 @t40))) % 0.37/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.57 (step @p11 :rule symm :premises (@p10)) % 0.37/0.57 (step @p12 :rule cong :premises (@p11) :args ((forall @t21 (or @t31 @t47)))) % 0.37/0.57 (step @p13 :rule trans :premises (@p12 @p5)) % 0.37/0.57 (step @p14 :rule trans :premises (@p13 @p4)) % 0.37/0.57 (step @p15 :rule refl :args (@t47)) % 0.37/0.57 (step @p16 :rule refl :args (@t30)) % 0.37/0.57 (step @p17 :rule refl :args (@t19)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t19 @t30))) % 0.37/0.57 (step @p19 :rule symm :premises (@p18)) % 0.37/0.57 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.37/0.57 (step @p21 :rule cong :premises (@p20) :args (@t48)) % 0.37/0.57 (step @p22 :rule nary_cong :premises (@p21 @p15) :args (@t49)) % 0.37/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t21 @t49))) % 0.37/0.57 (step @p24 :rule trans :premises (@p23 @p14)) % 0.37/0.57 (step @p25 :rule bool-impl-elim :args (@t19 @t47)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25) :args ((forall @t21 (=> @t19 @t47)))) % 0.37/0.57 (step @p27 :rule trans :premises (@p26 @p24)) % 0.37/0.57 (step @p28 :rule refl :args (@t41)) % 0.37/0.57 (step @p29 :rule refl :args (@t3)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t3 @t41))) % 0.37/0.57 (step @p31 :rule symm :premises (@p30)) % 0.37/0.57 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.37/0.57 (step @p33 :rule refl :args (@t42)) % 0.37/0.57 (step @p34 :rule refl :args (@t5)) % 0.37/0.57 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t5 @t42))) % 0.37/0.57 (step @p36 :rule symm :premises (@p35)) % 0.37/0.57 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.37/0.57 (step @p38 :rule cong :premises (@p37) :args (@t50)) % 0.37/0.57 (step @p39 :rule refl :args (@t46)) % 0.37/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38 @p32) :args (@t51)) % 0.37/0.57 (step @p41 :rule cong :premises (@p40) :args ((forall @t17 @t51))) % 0.37/0.57 (step @p42 :rule aci_norm :args ((= (or @t46 (or @t50 @t3)) @t51))) % 0.37/0.57 (step @p43 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.57 (step @p44 :rule nary_cong :premises (@p39 @p43) :args ((or @t46 @t6))) % 0.37/0.57 (step @p45 :rule trans :premises (@p44 @p42)) % 0.37/0.57 (step @p46 :rule bool-impl-elim :args (@t45 @t6)) % 0.37/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.57 (step @p48 :rule cong :premises (@p47) :args ((forall @t17 (=> @t45 @t6)))) % 0.37/0.57 (step @p49 :rule trans :premises (@p48 @p41)) % 0.37/0.57 (step @p50 :rule refl :args (@t6)) % 0.37/0.57 (step @p51 :rule refl :args (@t43)) % 0.37/0.57 (step @p52 :rule refl :args (@t8)) % 0.37/0.57 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t8 @t43))) % 0.37/0.57 (step @p54 :rule symm :premises (@p53)) % 0.37/0.57 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.37/0.57 (step @p56 :rule refl :args (@t44)) % 0.37/0.57 (step @p57 :rule refl :args (@t10)) % 0.37/0.57 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t10 @t44))) % 0.37/0.57 (step @p59 :rule symm :premises (@p58)) % 0.37/0.57 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.37/0.57 (step @p61 :rule cong :premises (@p60) :args (@t52)) % 0.37/0.57 (step @p62 :rule refl :args (@t27)) % 0.37/0.57 (step @p63 :rule refl :args (@t12)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t12 @t27))) % 0.37/0.57 (step @p65 :rule symm :premises (@p64)) % 0.37/0.57 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.37/0.57 (step @p67 :rule cong :premises (@p66) :args (@t53)) % 0.37/0.57 (step @p68 :rule nary_cong :premises (@p67 @p61 @p55) :args (@t54)) % 0.37/0.57 (step @p69 :rule cong :premises (@p68) :args ((forall @t14 @t54))) % 0.37/0.57 (step @p70 :rule aci_norm :args ((= (or (or @t53 @t52) @t8) @t54))) % 0.37/0.57 (step @p71 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.37/0.57 (step @p72 :rule nary_cong :premises (@p71 @p52) :args ((or (not @t13) @t8))) % 0.37/0.57 (step @p73 :rule trans :premises (@p72 @p70)) % 0.37/0.57 (step @p74 :rule bool-impl-elim :args (@t13 @t8)) % 0.37/0.57 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.57 (step @p76 :rule cong :premises (@p75) :args (@t15)) % 0.37/0.57 (step @p77 :rule trans :premises (@p76 @p69)) % 0.37/0.57 (step @p78 :rule cong :premises (@p77 @p50) :args (@t16)) % 0.37/0.57 (step @p79 :rule cong :premises (@p78) :args (@t18)) % 0.37/0.57 (step @p80 :rule trans :premises (@p79 @p49)) % 0.37/0.57 (step @p81 :rule refl :args (@t19)) % 0.37/0.57 (step @p82 :rule cong :premises (@p81 @p80) :args (@t20)) % 0.37/0.57 (step @p83 :rule cong :premises (@p82) :args (@t22)) % 0.37/0.57 (step @p84 :rule trans :premises (@p83 @p27)) % 0.37/0.57 (step @p85 :rule cong :premises (@p84) :args (@t23)) % 0.37/0.57 (step @p86 :rule eq_resolve :premises (@p1 @p85)) % 0.37/0.57 (step @p87 :rule skolemize :premises (@p86)) % 0.37/0.57 (step @p88 :rule bool-double-not-elim :args (@t58)) % 0.37/0.57 (step @p89 :rule refl :args (@t67)) % 0.37/0.57 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t67 (not @t64)))) % 0.37/0.57 (step @p91 :rule cnf_or_neg :args (@t67 1)) % 0.37/0.57 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.37/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t58 @t67))) % 0.37/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p87) :args (@t58 @t68 @t69)) % 0.37/0.57 (step @p95 :rule cnf_or_neg :args (@t67 3)) % 0.37/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p87) :args ((not @t60) @t68 @t69)) % 0.37/0.57 (step @p97 :rule bool-double-not-elim :args (@t62)) % 0.37/0.57 (step @p98 :rule nary_cong :premises (@p89 @p97) :args ((or @t67 (not @t63)))) % 0.37/0.57 (step @p99 :rule cnf_or_neg :args (@t67 2)) % 0.37/0.57 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.37/0.57 (step @p101 :rule reordering :premises (@p100) :args ((or @t62 @t67))) % 0.37/0.57 (step @p102 :rule chain_m_resolution :premises (@p101 @p87) :args (@t62 @t68 @t69)) % 0.37/0.57 (step @p103 :rule bool-double-not-elim :args (@t65)) % 0.37/0.57 (step @p104 :rule nary_cong :premises (@p89 @p103) :args ((or @t67 (not @t66)))) % 0.37/0.57 (step @p105 :rule cnf_or_neg :args (@t67 0)) % 0.37/0.57 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.37/0.57 (step @p107 :rule reordering :premises (@p106) :args ((or @t65 @t67))) % 0.37/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p87) :args (@t65 @t68 @t69)) % 0.37/0.57 (step @p109 :rule cnf_or_pos :args (@t70)) % 0.37/0.57 (step @p110 :rule reordering :premises (@p109) :args ((or @t66 @t63 @t60 @t71))) % 0.37/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p102 @p96) :args (@t71 (@list false false true) (@list @t65 @t62 @t60))) % 0.37/0.57 (assume-push @p118 @t58) % 0.37/0.57 (step @p113 :rule instantiate :premises (@p94) :args ((@list @t61 @t59))) % 0.37/0.57 (step-pop @p119 :rule scope :premises (@p113)) % 0.37/0.57 (step @p114 :rule process_scope :premises (@p119) :args (@t70)) % 0.37/0.57 (step @p116 :rule implies_elim :premises (@p114)) % 0.37/0.57 (step @p117 false :rule chain_m_resolution :premises (@p116 @p111 @p94) :args (false (@list true false) (@list @t70 @t58))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------