%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV135^5 : 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 08:55:30 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV135^5 : 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 18:15:18 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort tptp.a 0) % 0.37/0.56 (define @t1 () (@var "Xy" tptp.a)) % 0.37/0.56 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 0.37/0.56 (define @t3 () (_ @t2 @t1)) % 0.37/0.56 (define @t4 () (@var "Xv" tptp.a)) % 0.37/0.56 (define @t5 () (_ @t2 @t4)) % 0.37/0.56 (define @t6 () (@var "Xu" tptp.a)) % 0.37/0.56 (define @t7 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 0.37/0.56 (define @t8 () (_ (_ @t7 @t6) @t4)) % 0.37/0.56 (define @t9 () (_ @t2 @t6)) % 0.37/0.56 (define @t10 () (and @t9 @t8)) % 0.37/0.56 (define @t11 () (@list @t6 @t4)) % 0.37/0.56 (define @t12 () (forall @t11 (=> @t10 @t5))) % 0.37/0.56 (define @t13 () (@var "Xw" tptp.a)) % 0.37/0.56 (define @t14 () (_ @t2 @t13)) % 0.37/0.56 (define @t15 () (@var "Xx" tptp.a)) % 0.37/0.56 (define @t16 () (_ @t7 @t15)) % 0.37/0.56 (define @t17 () (_ @t16 @t13)) % 0.37/0.56 (define @t18 () (@list @t13)) % 0.37/0.56 (define @t19 () (forall @t18 (=> @t17 @t14))) % 0.37/0.56 (define @t20 () (and @t19 @t12)) % 0.37/0.56 (define @t21 () (=> @t20 @t3)) % 0.37/0.56 (define @t22 () (@list @t2)) % 0.37/0.56 (define @t23 () (forall @t22 @t21)) % 0.37/0.56 (define @t24 () (_ @t16 @t1)) % 0.37/0.56 (define @t25 () (=> @t24 @t23)) % 0.37/0.56 (define @t26 () (@list @t7 @t15 @t1)) % 0.37/0.56 (define @t27 () (forall @t26 @t25)) % 0.37/0.56 (define @t28 () (not @t27)) % 0.37/0.56 (define @t29 () (@var "BOUND_VARIABLE_7482" (-> tptp.a Bool))) % 0.37/0.56 (define @t30 () (_ @t29 @t1)) % 0.37/0.56 (define @t31 () (_ @t7 @t6 @t4)) % 0.37/0.56 (define @t32 () (not @t31)) % 0.37/0.56 (define @t33 () (not (forall @t11 (or (not (_ @t29 @t6)) @t32 (_ @t29 @t4))))) % 0.37/0.56 (define @t34 () (_ @t7 @t15 @t13)) % 0.37/0.56 (define @t35 () (not @t34)) % 0.37/0.56 (define @t36 () (not (forall @t18 (or @t35 (_ @t29 @t13))))) % 0.37/0.56 (define @t37 () (_ @t7 @t15 @t1)) % 0.37/0.56 (define @t38 () (not @t37)) % 0.37/0.56 (define @t39 () (or @t38 @t36 @t33 @t30)) % 0.37/0.56 (define @t40 () (or @t36 @t33 @t30)) % 0.37/0.56 (define @t41 () (or @t38 @t40)) % 0.37/0.56 (define @t42 () (@list @t7 @t15 @t1 @t29)) % 0.37/0.56 (define @t43 () (forall @t42 @t41)) % 0.37/0.56 (define @t44 () (@list @t29)) % 0.37/0.56 (define @t45 () (forall @t44 @t41)) % 0.37/0.56 (define @t46 () (forall @t44 @t40)) % 0.37/0.56 (define @t47 () (or @t38 @t46)) % 0.37/0.56 (define @t48 () (_ @t2 @t1)) % 0.37/0.56 (define @t49 () (_ @t2 @t4)) % 0.37/0.56 (define @t50 () (_ @t2 @t6)) % 0.37/0.56 (define @t51 () (forall @t11 (or (not @t50) @t32 @t49))) % 0.37/0.56 (define @t52 () (not @t51)) % 0.37/0.56 (define @t53 () (_ @t2 @t13)) % 0.37/0.56 (define @t54 () (forall @t18 (or @t35 @t53))) % 0.37/0.56 (define @t55 () (not @t54)) % 0.37/0.56 (define @t56 () (forall @t22 (or @t55 @t52 @t48))) % 0.37/0.56 (define @t57 () (not @t24)) % 0.37/0.56 (define @t58 () (or @t57 @t56)) % 0.37/0.56 (define @t59 () (or @t55 @t52 @t3)) % 0.37/0.56 (define @t60 () (and @t54 @t51)) % 0.37/0.56 (define @t61 () (not @t8)) % 0.37/0.56 (define @t62 () (not @t9)) % 0.37/0.56 (define @t63 () (or @t62 @t61 @t5)) % 0.37/0.56 (define @t64 () (not @t17)) % 0.37/0.56 (define @t65 () (or @t64 @t14)) % 0.37/0.56 (define @t66 () (forall @t42 @t39)) % 0.37/0.56 (define @t67 () (@quantifiers_skolemize @t66 3)) % 0.37/0.56 (define @t68 () (@quantifiers_skolemize @t66 1)) % 0.37/0.56 (define @t69 () (@quantifiers_skolemize @t66 0)) % 0.37/0.56 (define @t70 () (forall @t18 (or (not (_ @t69 @t68 @t13)) (_ @t67 @t13)))) % 0.37/0.56 (define @t71 () (@quantifiers_skolemize @t66 2)) % 0.37/0.56 (define @t72 () (_ @t67 @t71)) % 0.37/0.56 (define @t73 () (not @t70)) % 0.37/0.56 (define @t74 () (_ @t69 @t68 @t71)) % 0.37/0.56 (define @t75 () (not @t74)) % 0.37/0.56 (define @t76 () (or @t75 @t73 (not (forall @t11 (or (not (_ @t67 @t6)) (not (_ @t69 @t6 @t4)) (_ @t67 @t4)))) @t72)) % 0.37/0.56 (define @t77 () (@list true)) % 0.37/0.56 (define @t78 () (@list @t76)) % 0.37/0.56 (define @t79 () (or @t75 @t72)) % 0.37/0.56 (define @t80 () (not @t79)) % 0.37/0.56 (assume @p1 @t28) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule aci_norm :args ((= @t41 @t39))) % 0.37/0.56 (step @p4 :rule cong :premises (@p3) :args (@t43)) % 0.37/0.56 (step @p5 :rule quant-merge-prenex :args ((= (forall @t26 @t45) @t43))) % 0.37/0.56 (step @p6 :rule alpha_equiv :args (@t46 (@list @t29) (@list @t2))) % 0.37/0.56 (step @p7 :rule refl :args (@t38)) % 0.37/0.56 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t47)) % 0.37/0.56 (step @p9 :rule quant-miniscope-or :args ((= @t45 @t47))) % 0.37/0.56 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.56 (step @p11 :rule symm :premises (@p10)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11) :args ((forall @t26 (or @t38 @t56)))) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p5)) % 0.37/0.56 (step @p14 :rule trans :premises (@p13 @p4)) % 0.37/0.56 (step @p15 :rule refl :args (@t56)) % 0.37/0.56 (step @p16 :rule refl :args (@t37)) % 0.37/0.56 (step @p17 :rule refl :args (@t24)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t24 @t37))) % 0.37/0.56 (step @p19 :rule symm :premises (@p18)) % 0.37/0.56 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.37/0.56 (step @p21 :rule cong :premises (@p20) :args (@t57)) % 0.37/0.56 (step @p22 :rule nary_cong :premises (@p21 @p15) :args (@t58)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t26 @t58))) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p14)) % 0.37/0.56 (step @p25 :rule bool-impl-elim :args (@t24 @t56)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t26 (=> @t24 @t56)))) % 0.37/0.56 (step @p27 :rule trans :premises (@p26 @p24)) % 0.37/0.56 (step @p28 :rule refl :args (@t48)) % 0.37/0.56 (step @p29 :rule refl :args (@t3)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t3 @t48))) % 0.37/0.56 (step @p31 :rule symm :premises (@p30)) % 0.37/0.56 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.37/0.56 (step @p33 :rule refl :args (@t52)) % 0.37/0.56 (step @p34 :rule refl :args (@t55)) % 0.37/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args (@t59)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35) :args ((forall @t22 @t59))) % 0.37/0.56 (step @p37 :rule aci_norm :args ((= (or (or @t55 @t52) @t3) @t59))) % 0.37/0.56 (step @p38 :rule bool-and-de-morgan :args (@t54 @t51 true)) % 0.37/0.56 (step @p39 :rule nary_cong :premises (@p38 @p29) :args ((or (not @t60) @t3))) % 0.37/0.56 (step @p40 :rule trans :premises (@p39 @p37)) % 0.37/0.56 (step @p41 :rule bool-impl-elim :args (@t60 @t3)) % 0.37/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.56 (step @p43 :rule cong :premises (@p42) :args ((forall @t22 (=> @t60 @t3)))) % 0.37/0.56 (step @p44 :rule trans :premises (@p43 @p36)) % 0.37/0.56 (step @p45 :rule refl :args (@t3)) % 0.37/0.56 (step @p46 :rule refl :args (@t49)) % 0.37/0.56 (step @p47 :rule refl :args (@t5)) % 0.37/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t5 @t49))) % 0.37/0.56 (step @p49 :rule symm :premises (@p48)) % 0.37/0.56 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.37/0.56 (step @p51 :rule refl :args (@t31)) % 0.37/0.56 (step @p52 :rule refl :args (@t8)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t8 @t31))) % 0.37/0.56 (step @p54 :rule symm :premises (@p53)) % 0.37/0.56 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.37/0.56 (step @p56 :rule cong :premises (@p55) :args (@t61)) % 0.37/0.56 (step @p57 :rule refl :args (@t50)) % 0.37/0.56 (step @p58 :rule refl :args (@t9)) % 0.37/0.56 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t9 @t50))) % 0.37/0.56 (step @p60 :rule symm :premises (@p59)) % 0.37/0.56 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.37/0.56 (step @p62 :rule cong :premises (@p61) :args (@t62)) % 0.37/0.56 (step @p63 :rule nary_cong :premises (@p62 @p56 @p50) :args (@t63)) % 0.37/0.56 (step @p64 :rule cong :premises (@p63) :args ((forall @t11 @t63))) % 0.37/0.56 (step @p65 :rule aci_norm :args ((= (or (or @t62 @t61) @t5) @t63))) % 0.37/0.56 (step @p66 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 0.37/0.56 (step @p67 :rule nary_cong :premises (@p66 @p47) :args ((or (not @t10) @t5))) % 0.37/0.56 (step @p68 :rule trans :premises (@p67 @p65)) % 0.37/0.56 (step @p69 :rule bool-impl-elim :args (@t10 @t5)) % 0.37/0.56 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.56 (step @p71 :rule cong :premises (@p70) :args (@t12)) % 0.37/0.56 (step @p72 :rule trans :premises (@p71 @p64)) % 0.37/0.56 (step @p73 :rule refl :args (@t53)) % 0.37/0.56 (step @p74 :rule refl :args (@t14)) % 0.37/0.56 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t14 @t53))) % 0.37/0.56 (step @p76 :rule symm :premises (@p75)) % 0.37/0.56 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.37/0.56 (step @p78 :rule refl :args (@t34)) % 0.37/0.56 (step @p79 :rule refl :args (@t17)) % 0.37/0.56 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t17 @t34))) % 0.37/0.56 (step @p81 :rule symm :premises (@p80)) % 0.37/0.56 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.37/0.56 (step @p83 :rule cong :premises (@p82) :args (@t64)) % 0.37/0.56 (step @p84 :rule nary_cong :premises (@p83 @p77) :args (@t65)) % 0.37/0.56 (step @p85 :rule cong :premises (@p84) :args ((forall @t18 @t65))) % 0.37/0.56 (step @p86 :rule bool-impl-elim :args (@t17 @t14)) % 0.37/0.56 (step @p87 :rule cong :premises (@p86) :args (@t19)) % 0.37/0.56 (step @p88 :rule trans :premises (@p87 @p85)) % 0.37/0.56 (step @p89 :rule nary_cong :premises (@p88 @p72) :args (@t20)) % 0.37/0.56 (step @p90 :rule cong :premises (@p89 @p45) :args (@t21)) % 0.37/0.56 (step @p91 :rule cong :premises (@p90) :args (@t23)) % 0.37/0.56 (step @p92 :rule trans :premises (@p91 @p44)) % 0.37/0.56 (step @p93 :rule refl :args (@t24)) % 0.37/0.56 (step @p94 :rule cong :premises (@p93 @p92) :args (@t25)) % 0.37/0.56 (step @p95 :rule cong :premises (@p94) :args (@t27)) % 0.37/0.56 (step @p96 :rule trans :premises (@p95 @p27)) % 0.37/0.56 (step @p97 :rule cong :premises (@p96) :args (@t28)) % 0.37/0.56 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 0.37/0.56 (step @p99 :rule skolemize :premises (@p98)) % 0.37/0.56 (step @p100 :rule bool-double-not-elim :args (@t70)) % 0.37/0.56 (step @p101 :rule refl :args (@t76)) % 0.37/0.56 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t76 (not @t73)))) % 0.37/0.56 (step @p103 :rule cnf_or_neg :args (@t76 1)) % 0.37/0.56 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.37/0.56 (step @p105 :rule reordering :premises (@p104) :args ((or @t70 @t76))) % 0.37/0.56 (step @p106 :rule chain_m_resolution :premises (@p105 @p99) :args (@t70 @t77 @t78)) % 0.37/0.56 (step @p107 :rule cnf_or_neg :args (@t76 3)) % 0.37/0.56 (step @p108 :rule chain_m_resolution :premises (@p107 @p99) :args ((not @t72) @t77 @t78)) % 0.37/0.56 (step @p109 :rule bool-double-not-elim :args (@t74)) % 0.37/0.56 (step @p110 :rule nary_cong :premises (@p101 @p109) :args ((or @t76 (not @t75)))) % 0.37/0.56 (step @p111 :rule cnf_or_neg :args (@t76 0)) % 0.37/0.56 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.37/0.56 (step @p113 :rule reordering :premises (@p112) :args ((or @t74 @t76))) % 0.37/0.56 (step @p114 :rule chain_m_resolution :premises (@p113 @p99) :args (@t74 @t77 @t78)) % 0.37/0.56 (step @p115 :rule cnf_or_pos :args (@t79)) % 0.37/0.56 (step @p116 :rule reordering :premises (@p115) :args ((or @t75 @t72 @t80))) % 0.37/0.56 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p108) :args (@t80 (@list false true) (@list @t74 @t72))) % 0.37/0.56 (assume-push @p124 @t70) % 0.37/0.56 (step @p119 :rule instantiate :premises (@p106) :args ((@list @t71))) % 0.37/0.56 (step-pop @p125 :rule scope :premises (@p119)) % 0.37/0.56 (step @p120 :rule process_scope :premises (@p125) :args (@t79)) % 0.37/0.56 (step @p122 :rule implies_elim :premises (@p120)) % 0.37/0.56 (step @p123 false :rule chain_m_resolution :premises (@p122 @p117 @p106) :args (false (@list true false) (@list @t79 @t70))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------