%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU846^5 : 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 : n026.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 08:53:25 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU846^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:55:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.a 0) % 0.30/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.30/0.55 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.30/0.55 (define @t3 () (_ @t2 @t1)) % 0.30/0.55 (define @t4 () (not @t3)) % 0.30/0.55 (define @t5 () (@var "U" (-> tptp.a Bool))) % 0.30/0.55 (define @t6 () (_ @t5 @t1)) % 0.30/0.55 (define @t7 () (and @t6 @t4)) % 0.30/0.55 (define @t8 () (@var "T" (-> tptp.a Bool))) % 0.30/0.55 (define @t9 () (_ @t8 @t1)) % 0.30/0.55 (define @t10 () (not @t9)) % 0.30/0.55 (define @t11 () (and @t6 @t10)) % 0.30/0.55 (define @t12 () (@list @t1)) % 0.30/0.55 (define @t13 () (forall @t12 (=> @t11 @t7))) % 0.30/0.55 (define @t14 () (forall @t12 (=> @t3 @t9))) % 0.30/0.55 (define @t15 () (forall @t12 (=> @t9 @t6))) % 0.30/0.55 (define @t16 () (forall @t12 (=> @t3 @t6))) % 0.30/0.55 (define @t17 () (and @t16 @t15 @t14)) % 0.30/0.55 (define @t18 () (=> @t17 @t13)) % 0.30/0.55 (define @t19 () (@list @t2 @t8 @t5)) % 0.30/0.55 (define @t20 () (forall @t19 @t18)) % 0.30/0.55 (define @t21 () (not @t20)) % 0.30/0.55 (define @t22 () (@var "BOUND_VARIABLE_7469" tptp.a)) % 0.30/0.55 (define @t23 () (_ @t5 @t22)) % 0.30/0.56 (define @t24 () (and @t23 (not (_ @t2 @t22)))) % 0.30/0.56 (define @t25 () (_ @t8 @t22)) % 0.30/0.56 (define @t26 () (not @t23)) % 0.30/0.56 (define @t27 () (_ @t8 @t1)) % 0.30/0.56 (define @t28 () (_ @t2 @t1)) % 0.30/0.56 (define @t29 () (not @t28)) % 0.30/0.56 (define @t30 () (forall @t12 (or @t29 @t27))) % 0.30/0.56 (define @t31 () (not @t30)) % 0.30/0.56 (define @t32 () (_ @t5 @t1)) % 0.30/0.56 (define @t33 () (forall @t12 (or (not @t27) @t32))) % 0.30/0.56 (define @t34 () (not @t33)) % 0.30/0.56 (define @t35 () (forall @t12 (or @t29 @t32))) % 0.30/0.56 (define @t36 () (not @t35)) % 0.30/0.56 (define @t37 () (or @t36 @t34 @t31 @t26 @t25 @t24)) % 0.30/0.56 (define @t38 () (or @t26 @t25 @t24)) % 0.30/0.56 (define @t39 () (or @t36 @t34 @t31 @t38)) % 0.30/0.56 (define @t40 () (@list @t2 @t8 @t5 @t22)) % 0.30/0.56 (define @t41 () (forall @t40 @t39)) % 0.30/0.56 (define @t42 () (@list @t22)) % 0.30/0.56 (define @t43 () (forall @t42 @t39)) % 0.30/0.56 (define @t44 () (forall @t42 @t38)) % 0.30/0.56 (define @t45 () (or @t36 @t34 @t31 @t44)) % 0.30/0.56 (define @t46 () (forall @t12 (or (not @t32) @t27 (and @t32 @t29)))) % 0.30/0.56 (define @t47 () (or @t36 @t34 @t31 @t46)) % 0.30/0.56 (define @t48 () (or @t36 @t34 @t31)) % 0.30/0.56 (define @t49 () (and @t35 @t33 @t30)) % 0.30/0.56 (define @t50 () (not @t6)) % 0.30/0.56 (define @t51 () (or @t50 @t9 @t7)) % 0.30/0.56 (define @t52 () (or @t4 @t9)) % 0.30/0.56 (define @t53 () (or @t10 @t6)) % 0.30/0.56 (define @t54 () (or @t4 @t6)) % 0.30/0.56 (define @t55 () (forall @t40 @t37)) % 0.30/0.56 (define @t56 () (@quantifiers_skolemize @t55 1)) % 0.30/0.56 (define @t57 () (_ @t56 @t1)) % 0.30/0.56 (define @t58 () (@quantifiers_skolemize @t55 0)) % 0.30/0.56 (define @t59 () (not (_ @t58 @t1))) % 0.30/0.56 (define @t60 () (forall @t12 (or @t59 @t57))) % 0.30/0.56 (define @t61 () (@quantifiers_skolemize @t55 3)) % 0.30/0.56 (define @t62 () (_ @t58 @t61)) % 0.30/0.56 (define @t63 () (not @t62)) % 0.30/0.56 (define @t64 () (@quantifiers_skolemize @t55 2)) % 0.30/0.56 (define @t65 () (_ @t64 @t61)) % 0.30/0.56 (define @t66 () (and @t65 @t63)) % 0.30/0.56 (define @t67 () (_ @t56 @t61)) % 0.30/0.56 (define @t68 () (not @t65)) % 0.30/0.56 (define @t69 () (not @t60)) % 0.30/0.56 (define @t70 () (_ @t64 @t1)) % 0.30/0.56 (define @t71 () (or (not (forall @t12 (or @t59 @t70))) (not (forall @t12 (or (not @t57) @t70))) @t69 @t68 @t67 @t66)) % 0.30/0.56 (define @t72 () (@list true)) % 0.30/0.56 (define @t73 () (@list @t71)) % 0.30/0.56 (define @t74 () (or @t63 @t67)) % 0.30/0.56 (define @t75 () (not @t74)) % 0.30/0.56 (define @t76 () (@list true false)) % 0.30/0.56 (assume @p1 @t21) % 0.30/0.56 (assume @p2 true) % 0.30/0.56 (step @p3 :rule aci_norm :args ((= @t39 @t37))) % 0.30/0.56 (step @p4 :rule cong :premises (@p3) :args (@t41)) % 0.30/0.56 (step @p5 :rule quant-merge-prenex :args ((= (forall @t19 @t43) @t41))) % 0.30/0.56 (step @p6 :rule alpha_equiv :args (@t44 (@list @t22) (@list @t1))) % 0.30/0.56 (step @p7 :rule refl :args (@t31)) % 0.30/0.56 (step @p8 :rule refl :args (@t34)) % 0.30/0.56 (step @p9 :rule refl :args (@t36)) % 0.30/0.56 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7 @p6) :args (@t45)) % 0.30/0.56 (step @p11 :rule quant-miniscope-or :args ((= @t43 @t45))) % 0.30/0.56 (step @p12 :rule trans :premises (@p11 @p10)) % 0.30/0.56 (step @p13 :rule symm :premises (@p12)) % 0.30/0.56 (step @p14 :rule cong :premises (@p13) :args ((forall @t19 @t47))) % 0.30/0.56 (step @p15 :rule trans :premises (@p14 @p5)) % 0.30/0.56 (step @p16 :rule trans :premises (@p15 @p4)) % 0.30/0.56 (step @p17 :rule aci_norm :args ((= (or @t48 @t46) @t47))) % 0.30/0.56 (step @p18 :rule refl :args (@t46)) % 0.30/0.56 (step @p19 :rule aci_norm :args ((= (or @t36 (or @t34 @t31)) @t48))) % 0.30/0.56 (step @p20 :rule bool-and-de-morgan :args (@t33 @t30 true)) % 0.30/0.56 (step @p21 :rule nary_cong :premises (@p9 @p20) :args ((or @t36 (not (and @t33 @t30))))) % 0.30/0.56 (step @p22 :rule bool-and-de-morgan :args (@t35 @t33 (and @t30))) % 0.30/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.30/0.56 (step @p24 :rule trans :premises (@p23 @p19)) % 0.30/0.56 (step @p25 :rule nary_cong :premises (@p24 @p18) :args ((or (not @t49) @t46))) % 0.30/0.56 (step @p26 :rule trans :premises (@p25 @p17)) % 0.30/0.56 (step @p27 :rule bool-impl-elim :args (@t49 @t46)) % 0.30/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.30/0.56 (step @p29 :rule cong :premises (@p28) :args ((forall @t19 (=> @t49 @t46)))) % 0.30/0.56 (step @p30 :rule trans :premises (@p29 @p16)) % 0.30/0.56 (step @p31 :rule refl :args (@t28)) % 0.30/0.56 (step @p32 :rule refl :args (@t3)) % 0.30/0.56 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t3 @t28))) % 0.30/0.56 (step @p34 :rule symm :premises (@p33)) % 0.30/0.56 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.30/0.56 (step @p36 :rule cong :premises (@p35) :args (@t4)) % 0.30/0.56 (step @p37 :rule refl :args (@t32)) % 0.30/0.56 (step @p38 :rule refl :args (@t6)) % 0.30/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t6 @t32))) % 0.30/0.56 (step @p40 :rule symm :premises (@p39)) % 0.30/0.56 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.30/0.56 (step @p42 :rule nary_cong :premises (@p41 @p36) :args (@t7)) % 0.30/0.56 (step @p43 :rule refl :args (@t27)) % 0.30/0.56 (step @p44 :rule refl :args (@t9)) % 0.30/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t9 @t27))) % 0.30/0.56 (step @p46 :rule symm :premises (@p45)) % 0.30/0.56 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.30/0.56 (step @p48 :rule cong :premises (@p41) :args (@t50)) % 0.30/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47 @p42) :args (@t51)) % 0.30/0.56 (step @p50 :rule cong :premises (@p49) :args ((forall @t12 @t51))) % 0.30/0.56 (step @p51 :rule aci_norm :args ((= (or (or @t50 @t9) @t7) @t51))) % 0.30/0.56 (step @p52 :rule refl :args (@t7)) % 0.30/0.56 (step @p53 :rule bool-double-not-elim :args (@t9)) % 0.30/0.56 (step @p54 :rule refl :args (@t50)) % 0.30/0.56 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t50 (not @t10)))) % 0.30/0.56 (step @p56 :rule bool-and-de-morgan :args (@t6 @t10 true)) % 0.30/0.56 (step @p57 :rule trans :premises (@p56 @p55)) % 0.30/0.56 (step @p58 :rule nary_cong :premises (@p57 @p52) :args ((or (not @t11) @t7))) % 0.30/0.56 (step @p59 :rule trans :premises (@p58 @p51)) % 0.30/0.56 (step @p60 :rule bool-impl-elim :args (@t11 @t7)) % 0.30/0.56 (step @p61 :rule trans :premises (@p60 @p59)) % 0.30/0.56 (step @p62 :rule cong :premises (@p61) :args (@t13)) % 0.30/0.56 (step @p63 :rule trans :premises (@p62 @p50)) % 0.30/0.56 (step @p64 :rule nary_cong :premises (@p36 @p47) :args (@t52)) % 0.30/0.56 (step @p65 :rule cong :premises (@p64) :args ((forall @t12 @t52))) % 0.30/0.56 (step @p66 :rule bool-impl-elim :args (@t3 @t9)) % 0.30/0.56 (step @p67 :rule cong :premises (@p66) :args (@t14)) % 0.30/0.56 (step @p68 :rule trans :premises (@p67 @p65)) % 0.30/0.56 (step @p69 :rule cong :premises (@p47) :args (@t10)) % 0.30/0.56 (step @p70 :rule nary_cong :premises (@p69 @p41) :args (@t53)) % 0.30/0.56 (step @p71 :rule cong :premises (@p70) :args ((forall @t12 @t53))) % 0.30/0.56 (step @p72 :rule bool-impl-elim :args (@t9 @t6)) % 0.30/0.56 (step @p73 :rule cong :premises (@p72) :args (@t15)) % 0.30/0.56 (step @p74 :rule trans :premises (@p73 @p71)) % 0.30/0.56 (step @p75 :rule nary_cong :premises (@p36 @p41) :args (@t54)) % 0.30/0.56 (step @p76 :rule cong :premises (@p75) :args ((forall @t12 @t54))) % 0.30/0.56 (step @p77 :rule bool-impl-elim :args (@t3 @t6)) % 0.30/0.56 (step @p78 :rule cong :premises (@p77) :args (@t16)) % 0.30/0.56 (step @p79 :rule trans :premises (@p78 @p76)) % 0.30/0.56 (step @p80 :rule nary_cong :premises (@p79 @p74 @p68) :args (@t17)) % 0.30/0.56 (step @p81 :rule cong :premises (@p80 @p63) :args (@t18)) % 0.30/0.56 (step @p82 :rule cong :premises (@p81) :args (@t20)) % 0.30/0.56 (step @p83 :rule trans :premises (@p82 @p30)) % 0.30/0.56 (step @p84 :rule cong :premises (@p83) :args (@t21)) % 0.30/0.56 (step @p85 :rule eq_resolve :premises (@p1 @p84)) % 0.30/0.56 (step @p86 :rule skolemize :premises (@p85)) % 0.30/0.56 (step @p87 :rule bool-double-not-elim :args (@t60)) % 0.30/0.56 (step @p88 :rule refl :args (@t71)) % 0.30/0.56 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t71 (not @t69)))) % 0.30/0.56 (step @p90 :rule cnf_or_neg :args (@t71 2)) % 0.30/0.56 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.30/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t60 @t71))) % 0.30/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t60 @t72 @t73)) % 0.30/0.56 (step @p94 :rule cnf_or_neg :args (@t71 5)) % 0.30/0.56 (step @p95 :rule chain_m_resolution :premises (@p94 @p86) :args ((not @t66) @t72 @t73)) % 0.30/0.56 (step @p96 :rule bool-double-not-elim :args (@t65)) % 0.30/0.56 (step @p97 :rule nary_cong :premises (@p88 @p96) :args ((or @t71 (not @t68)))) % 0.30/0.56 (step @p98 :rule cnf_or_neg :args (@t71 3)) % 0.30/0.56 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.30/0.56 (step @p100 :rule reordering :premises (@p99) :args ((or @t65 @t71))) % 0.30/0.56 (step @p101 :rule chain_m_resolution :premises (@p100 @p86) :args (@t65 @t72 @t73)) % 0.30/0.56 (step @p102 :rule bool-double-not-elim :args (@t62)) % 0.30/0.56 (step @p103 :rule refl :args (@t68)) % 0.30/0.56 (step @p104 :rule refl :args (@t66)) % 0.30/0.56 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args ((or @t66 @t68 (not @t63)))) % 0.30/0.56 (step @p106 :rule cnf_and_neg :args (@t66)) % 0.30/0.56 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.30/0.56 (step @p108 :rule reordering :premises (@p107) :args ((or @t68 @t62 @t66))) % 0.30/0.56 (step @p109 :rule chain_m_resolution :premises (@p108 @p101 @p95) :args (@t62 (@list false true) (@list @t65 @t66))) % 0.30/0.56 (step @p110 :rule cnf_or_neg :args (@t71 4)) % 0.30/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p86) :args ((not @t67) @t72 @t73)) % 0.30/0.56 (step @p112 :rule cnf_or_pos :args (@t74)) % 0.30/0.56 (step @p113 :rule reordering :premises (@p112) :args ((or @t67 @t63 @t75))) % 0.30/0.56 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p109) :args (@t75 @t76 (@list @t67 @t62))) % 0.30/0.56 (assume-push @p121 @t60) % 0.30/0.56 (step @p116 :rule instantiate :premises (@p93) :args ((@list @t61))) % 0.30/0.56 (step-pop @p122 :rule scope :premises (@p116)) % 0.30/0.56 (step @p117 :rule process_scope :premises (@p122) :args (@t74)) % 0.30/0.56 (step @p119 :rule implies_elim :premises (@p117)) % 0.30/0.56 (step @p120 false :rule chain_m_resolution :premises (@p119 @p114 @p93) :args (false @t76 (@list @t74 @t60))) % 0.30/0.56 ) % 0.30/0.56 % SZS output end Proof % 0.30/0.56 % cvc5 exiting %------------------------------------------------------------------------------