%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET201^5 : 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 : n024.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 08:47:38 AM UTC 2026 % Result : Theorem 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET201^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 10:10:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TH0 % 0.15/0.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.37 % SZS status Theorem % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort tptp.a 0) % 0.15/0.37 (declare-const tptp.cV (-> tptp.a Bool)) % 0.15/0.37 (define @t1 () (@var "Xx" tptp.a)) % 0.15/0.37 (define @t2 () (_ tptp.cV @t1)) % 0.15/0.37 (define @t3 () (@var "Y" (-> tptp.a Bool))) % 0.15/0.37 (define @t4 () (_ @t3 @t1)) % 0.15/0.37 (define @t5 () (and @t4 @t2)) % 0.15/0.37 (define @t6 () (@var "Z" (-> tptp.a Bool))) % 0.15/0.37 (define @t7 () (_ @t6 @t1)) % 0.15/0.37 (define @t8 () (@var "X" (-> tptp.a Bool))) % 0.15/0.37 (define @t9 () (_ @t8 @t1)) % 0.15/0.37 (define @t10 () (and @t9 @t7)) % 0.15/0.37 (define @t11 () (@list @t1)) % 0.15/0.37 (define @t12 () (forall @t11 (=> @t10 @t5))) % 0.15/0.37 (define @t13 () (forall @t11 (=> @t7 @t2))) % 0.15/0.37 (define @t14 () (forall @t11 (=> @t9 @t4))) % 0.15/0.37 (define @t15 () (and @t14 @t13)) % 0.15/0.37 (define @t16 () (=> @t15 @t12)) % 0.15/0.37 (define @t17 () (@list @t8 @t3 @t6)) % 0.15/0.37 (define @t18 () (forall @t17 @t16)) % 0.15/0.37 (define @t19 () (not @t18)) % 0.15/0.37 (define @t20 () (@var "BOUND_VARIABLE_7463" tptp.a)) % 0.15/0.37 (define @t21 () (and (_ @t3 @t20) (tptp.cV @t20))) % 0.15/0.37 (define @t22 () (not (_ @t6 @t20))) % 0.15/0.37 (define @t23 () (not (_ @t8 @t20))) % 0.15/0.37 (define @t24 () (tptp.cV @t1)) % 0.15/0.37 (define @t25 () (_ @t6 @t1)) % 0.15/0.37 (define @t26 () (not @t25)) % 0.15/0.37 (define @t27 () (forall @t11 (or @t26 @t24))) % 0.15/0.37 (define @t28 () (not @t27)) % 0.15/0.37 (define @t29 () (_ @t3 @t1)) % 0.15/0.37 (define @t30 () (_ @t8 @t1)) % 0.15/0.37 (define @t31 () (not @t30)) % 0.15/0.37 (define @t32 () (forall @t11 (or @t31 @t29))) % 0.15/0.37 (define @t33 () (not @t32)) % 0.15/0.37 (define @t34 () (or @t33 @t28 @t23 @t22 @t21)) % 0.15/0.37 (define @t35 () (or @t23 @t22 @t21)) % 0.15/0.37 (define @t36 () (or @t33 @t28 @t35)) % 0.15/0.37 (define @t37 () (@list @t8 @t3 @t6 @t20)) % 0.15/0.37 (define @t38 () (forall @t37 @t36)) % 0.15/0.37 (define @t39 () (@list @t20)) % 0.15/0.37 (define @t40 () (forall @t39 @t36)) % 0.15/0.37 (define @t41 () (forall @t39 @t35)) % 0.15/0.37 (define @t42 () (or @t33 @t28 @t41)) % 0.15/0.37 (define @t43 () (forall @t11 (or @t31 @t26 (and @t29 @t24)))) % 0.15/0.37 (define @t44 () (or @t33 @t28 @t43)) % 0.15/0.37 (define @t45 () (and @t32 @t27)) % 0.15/0.37 (define @t46 () (not @t7)) % 0.15/0.37 (define @t47 () (not @t9)) % 0.15/0.37 (define @t48 () (or @t47 @t46 @t5)) % 0.15/0.37 (define @t49 () (or @t46 @t2)) % 0.15/0.37 (define @t50 () (or @t47 @t4)) % 0.15/0.37 (define @t51 () (forall @t37 @t34)) % 0.15/0.37 (define @t52 () (@quantifiers_skolemize @t51 2)) % 0.15/0.37 (define @t53 () (forall @t11 (or (not (_ @t52 @t1)) @t24))) % 0.15/0.37 (define @t54 () (@quantifiers_skolemize @t51 3)) % 0.15/0.37 (define @t55 () (tptp.cV @t54)) % 0.15/0.37 (define @t56 () (@quantifiers_skolemize @t51 1)) % 0.15/0.37 (define @t57 () (_ @t56 @t54)) % 0.15/0.37 (define @t58 () (and @t57 @t55)) % 0.15/0.37 (define @t59 () (_ @t52 @t54)) % 0.15/0.37 (define @t60 () (not @t59)) % 0.15/0.37 (define @t61 () (@quantifiers_skolemize @t51 0)) % 0.15/0.37 (define @t62 () (_ @t61 @t54)) % 0.15/0.37 (define @t63 () (not @t62)) % 0.15/0.37 (define @t64 () (not @t53)) % 0.15/0.37 (define @t65 () (forall @t11 (or (not (_ @t61 @t1)) (_ @t56 @t1)))) % 0.15/0.37 (define @t66 () (not @t65)) % 0.15/0.37 (define @t67 () (or @t66 @t64 @t63 @t60 @t58)) % 0.15/0.37 (define @t68 () (@list true)) % 0.15/0.37 (define @t69 () (@list @t67)) % 0.15/0.37 (define @t70 () (@list @t54)) % 0.15/0.37 (define @t71 () (or @t63 @t57)) % 0.15/0.37 (define @t72 () (@list true false)) % 0.15/0.37 (define @t73 () (or @t60 @t55)) % 0.15/0.37 (define @t74 () (not @t73)) % 0.15/0.37 (assume @p1 @t19) % 0.15/0.37 (assume @p2 true) % 0.15/0.37 (step @p3 :rule aci_norm :args ((= @t36 @t34))) % 0.15/0.37 (step @p4 :rule cong :premises (@p3) :args (@t38)) % 0.15/0.37 (step @p5 :rule quant-merge-prenex :args ((= (forall @t17 @t40) @t38))) % 0.15/0.37 (step @p6 :rule alpha_equiv :args (@t41 (@list @t20) (@list @t1))) % 0.15/0.37 (step @p7 :rule refl :args (@t28)) % 0.15/0.37 (step @p8 :rule refl :args (@t33)) % 0.15/0.37 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t42)) % 0.15/0.37 (step @p10 :rule quant-miniscope-or :args ((= @t40 @t42))) % 0.15/0.37 (step @p11 :rule trans :premises (@p10 @p9)) % 0.15/0.37 (step @p12 :rule symm :premises (@p11)) % 0.15/0.37 (step @p13 :rule cong :premises (@p12) :args ((forall @t17 @t44))) % 0.15/0.37 (step @p14 :rule trans :premises (@p13 @p5)) % 0.15/0.37 (step @p15 :rule trans :premises (@p14 @p4)) % 0.15/0.37 (step @p16 :rule aci_norm :args ((= (or (or @t33 @t28) @t43) @t44))) % 0.15/0.37 (step @p17 :rule refl :args (@t43)) % 0.15/0.37 (step @p18 :rule bool-and-de-morgan :args (@t32 @t27 true)) % 0.15/0.37 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t45) @t43))) % 0.15/0.37 (step @p20 :rule trans :premises (@p19 @p16)) % 0.15/0.37 (step @p21 :rule bool-impl-elim :args (@t45 @t43)) % 0.15/0.37 (step @p22 :rule trans :premises (@p21 @p20)) % 0.15/0.37 (step @p23 :rule cong :premises (@p22) :args ((forall @t17 (=> @t45 @t43)))) % 0.15/0.37 (step @p24 :rule trans :premises (@p23 @p15)) % 0.15/0.37 (step @p25 :rule refl :args (@t24)) % 0.15/0.37 (step @p26 :rule refl :args (@t2)) % 0.15/0.37 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t2 @t24))) % 0.15/0.37 (step @p28 :rule symm :premises (@p27)) % 0.15/0.37 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.15/0.37 (step @p30 :rule refl :args (@t29)) % 0.15/0.37 (step @p31 :rule refl :args (@t4)) % 0.15/0.37 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t4 @t29))) % 0.15/0.37 (step @p33 :rule symm :premises (@p32)) % 0.15/0.37 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.15/0.37 (step @p35 :rule nary_cong :premises (@p34 @p29) :args (@t5)) % 0.15/0.37 (step @p36 :rule refl :args (@t25)) % 0.15/0.37 (step @p37 :rule refl :args (@t7)) % 0.15/0.37 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t7 @t25))) % 0.15/0.37 (step @p39 :rule symm :premises (@p38)) % 0.15/0.37 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.15/0.37 (step @p41 :rule cong :premises (@p40) :args (@t46)) % 0.15/0.37 (step @p42 :rule refl :args (@t30)) % 0.15/0.37 (step @p43 :rule refl :args (@t9)) % 0.15/0.37 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t9 @t30))) % 0.15/0.37 (step @p45 :rule symm :premises (@p44)) % 0.15/0.37 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.15/0.37 (step @p47 :rule cong :premises (@p46) :args (@t47)) % 0.15/0.37 (step @p48 :rule nary_cong :premises (@p47 @p41 @p35) :args (@t48)) % 0.15/0.37 (step @p49 :rule cong :premises (@p48) :args ((forall @t11 @t48))) % 0.15/0.37 (step @p50 :rule aci_norm :args ((= (or (or @t47 @t46) @t5) @t48))) % 0.15/0.37 (step @p51 :rule refl :args (@t5)) % 0.15/0.37 (step @p52 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 0.15/0.37 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t10) @t5))) % 0.15/0.37 (step @p54 :rule trans :premises (@p53 @p50)) % 0.15/0.37 (step @p55 :rule bool-impl-elim :args (@t10 @t5)) % 0.15/0.37 (step @p56 :rule trans :premises (@p55 @p54)) % 0.15/0.37 (step @p57 :rule cong :premises (@p56) :args (@t12)) % 0.15/0.37 (step @p58 :rule trans :premises (@p57 @p49)) % 0.15/0.37 (step @p59 :rule nary_cong :premises (@p41 @p29) :args (@t49)) % 0.15/0.37 (step @p60 :rule cong :premises (@p59) :args ((forall @t11 @t49))) % 0.15/0.37 (step @p61 :rule bool-impl-elim :args (@t7 @t2)) % 0.15/0.37 (step @p62 :rule cong :premises (@p61) :args (@t13)) % 0.15/0.37 (step @p63 :rule trans :premises (@p62 @p60)) % 0.15/0.37 (step @p64 :rule nary_cong :premises (@p47 @p34) :args (@t50)) % 0.15/0.37 (step @p65 :rule cong :premises (@p64) :args ((forall @t11 @t50))) % 0.15/0.37 (step @p66 :rule bool-impl-elim :args (@t9 @t4)) % 0.15/0.37 (step @p67 :rule cong :premises (@p66) :args (@t14)) % 0.15/0.37 (step @p68 :rule trans :premises (@p67 @p65)) % 0.15/0.37 (step @p69 :rule nary_cong :premises (@p68 @p63) :args (@t15)) % 0.15/0.37 (step @p70 :rule cong :premises (@p69 @p58) :args (@t16)) % 0.15/0.37 (step @p71 :rule cong :premises (@p70) :args (@t18)) % 0.15/0.37 (step @p72 :rule trans :premises (@p71 @p24)) % 0.15/0.37 (step @p73 :rule cong :premises (@p72) :args (@t19)) % 0.15/0.37 (step @p74 :rule eq_resolve :premises (@p1 @p73)) % 0.15/0.37 (step @p75 :rule skolemize :premises (@p74)) % 0.15/0.37 (step @p76 :rule bool-double-not-elim :args (@t53)) % 0.15/0.37 (step @p77 :rule refl :args (@t67)) % 0.15/0.37 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t67 (not @t64)))) % 0.15/0.37 (step @p79 :rule cnf_or_neg :args (@t67 1)) % 0.15/0.37 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.15/0.37 (step @p81 :rule reordering :premises (@p80) :args ((or @t53 @t67))) % 0.15/0.37 (step @p82 :rule chain_m_resolution :premises (@p81 @p75) :args (@t53 @t68 @t69)) % 0.15/0.37 (step @p83 :rule bool-double-not-elim :args (@t65)) % 0.15/0.37 (step @p84 :rule nary_cong :premises (@p77 @p83) :args ((or @t67 (not @t66)))) % 0.15/0.37 (step @p85 :rule cnf_or_neg :args (@t67 0)) % 0.15/0.37 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.15/0.37 (step @p87 :rule reordering :premises (@p86) :args ((or @t65 @t67))) % 0.15/0.37 (step @p88 :rule chain_m_resolution :premises (@p87 @p75) :args (@t65 @t68 @t69)) % 0.15/0.37 (step @p89 :rule instantiate :premises (@p88) :args (@t70)) % 0.15/0.37 (step @p90 :rule bool-double-not-elim :args (@t62)) % 0.15/0.37 (step @p91 :rule nary_cong :premises (@p77 @p90) :args ((or @t67 (not @t63)))) % 0.15/0.37 (step @p92 :rule cnf_or_neg :args (@t67 2)) % 0.15/0.37 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.15/0.37 (step @p94 :rule reordering :premises (@p93) :args ((or @t62 @t67))) % 0.15/0.37 (step @p95 :rule chain_m_resolution :premises (@p94 @p75) :args (@t62 @t68 @t69)) % 0.15/0.37 (step @p96 :rule cnf_or_pos :args (@t71)) % 0.15/0.37 (step @p97 :rule reordering :premises (@p96) :args ((or @t63 @t57 (not @t71)))) % 0.15/0.37 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p89) :args (@t57 (@list false false) (@list @t62 @t71))) % 0.15/0.37 (step @p99 :rule cnf_or_neg :args (@t67 4)) % 0.15/0.37 (step @p100 :rule chain_m_resolution :premises (@p99 @p75) :args ((not @t58) @t68 @t69)) % 0.15/0.37 (step @p101 :rule cnf_and_neg :args (@t58)) % 0.15/0.37 (step @p102 :rule chain_m_resolution :premises (@p101 @p100 @p98) :args ((not @t55) @t72 (@list @t58 @t57))) % 0.15/0.37 (step @p103 :rule bool-double-not-elim :args (@t59)) % 0.15/0.37 (step @p104 :rule nary_cong :premises (@p77 @p103) :args ((or @t67 (not @t60)))) % 0.15/0.37 (step @p105 :rule cnf_or_neg :args (@t67 3)) % 0.15/0.37 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.15/0.37 (step @p107 :rule reordering :premises (@p106) :args ((or @t59 @t67))) % 0.15/0.37 (step @p108 :rule chain_m_resolution :premises (@p107 @p75) :args (@t59 @t68 @t69)) % 0.15/0.37 (step @p109 :rule cnf_or_pos :args (@t73)) % 0.15/0.37 (step @p110 :rule reordering :premises (@p109) :args ((or @t60 @t55 @t74))) % 0.15/0.37 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p102) :args (@t74 (@list false true) (@list @t59 @t55))) % 0.15/0.37 (assume-push @p118 @t53) % 0.15/0.37 (step @p113 :rule instantiate :premises (@p82) :args (@t70)) % 0.15/0.37 (step-pop @p119 :rule scope :premises (@p113)) % 0.15/0.37 (step @p114 :rule process_scope :premises (@p119) :args (@t73)) % 0.15/0.37 (step @p116 :rule implies_elim :premises (@p114)) % 0.15/0.37 (step @p117 false :rule chain_m_resolution :premises (@p116 @p111 @p82) :args (false @t72 (@list @t73 @t53))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------