%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET200^5 : 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 : n018.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 0.37s 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 : SET200^5 : 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 % 0.16/0.35 % Computer : n018.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 15:11:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----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 "Xx" tptp.a)) % 0.37/0.57 (define @t2 () (@var "V" (-> tptp.a Bool))) % 0.37/0.57 (define @t3 () (_ @t2 @t1)) % 0.37/0.57 (define @t4 () (@var "Y" (-> tptp.a Bool))) % 0.37/0.57 (define @t5 () (_ @t4 @t1)) % 0.37/0.57 (define @t6 () (or @t5 @t3)) % 0.37/0.57 (define @t7 () (@var "Z" (-> tptp.a Bool))) % 0.37/0.57 (define @t8 () (_ @t7 @t1)) % 0.37/0.57 (define @t9 () (@var "X" (-> tptp.a Bool))) % 0.37/0.57 (define @t10 () (_ @t9 @t1)) % 0.37/0.57 (define @t11 () (or @t10 @t8)) % 0.37/0.57 (define @t12 () (@list @t1)) % 0.37/0.57 (define @t13 () (forall @t12 (=> @t11 @t6))) % 0.37/0.57 (define @t14 () (forall @t12 (=> @t8 @t3))) % 0.37/0.57 (define @t15 () (forall @t12 (=> @t10 @t5))) % 0.37/0.57 (define @t16 () (and @t15 @t14)) % 0.37/0.57 (define @t17 () (=> @t16 @t13)) % 0.37/0.57 (define @t18 () (@list @t9 @t4 @t7 @t2)) % 0.37/0.57 (define @t19 () (forall @t18 @t17)) % 0.37/0.57 (define @t20 () (not @t19)) % 0.37/0.57 (define @t21 () (@var "BOUND_VARIABLE_7463" tptp.a)) % 0.37/0.57 (define @t22 () (_ @t2 @t21)) % 0.37/0.57 (define @t23 () (_ @t4 @t21)) % 0.37/0.57 (define @t24 () (and (not (_ @t9 @t21)) (not (_ @t7 @t21)))) % 0.37/0.57 (define @t25 () (_ @t2 @t1)) % 0.37/0.57 (define @t26 () (_ @t7 @t1)) % 0.37/0.57 (define @t27 () (not @t26)) % 0.37/0.57 (define @t28 () (forall @t12 (or @t27 @t25))) % 0.37/0.57 (define @t29 () (not @t28)) % 0.37/0.57 (define @t30 () (_ @t4 @t1)) % 0.37/0.57 (define @t31 () (_ @t9 @t1)) % 0.37/0.57 (define @t32 () (not @t31)) % 0.37/0.57 (define @t33 () (forall @t12 (or @t32 @t30))) % 0.37/0.57 (define @t34 () (not @t33)) % 0.37/0.57 (define @t35 () (or @t34 @t29 @t24 @t23 @t22)) % 0.37/0.57 (define @t36 () (or @t24 @t23 @t22)) % 0.37/0.57 (define @t37 () (or @t34 @t29 @t36)) % 0.37/0.57 (define @t38 () (@list @t9 @t4 @t7 @t2 @t21)) % 0.37/0.57 (define @t39 () (forall @t38 @t37)) % 0.37/0.57 (define @t40 () (@list @t21)) % 0.37/0.57 (define @t41 () (forall @t40 @t37)) % 0.37/0.57 (define @t42 () (forall @t40 @t36)) % 0.37/0.57 (define @t43 () (or @t34 @t29 @t42)) % 0.37/0.57 (define @t44 () (forall @t12 (or (and @t32 @t27) @t30 @t25))) % 0.37/0.57 (define @t45 () (or @t34 @t29 @t44)) % 0.37/0.57 (define @t46 () (and @t33 @t28)) % 0.37/0.57 (define @t47 () (not @t8)) % 0.37/0.57 (define @t48 () (not @t10)) % 0.37/0.57 (define @t49 () (and @t48 @t47)) % 0.37/0.57 (define @t50 () (or @t49 @t5 @t3)) % 0.37/0.57 (define @t51 () (or @t47 @t3)) % 0.37/0.57 (define @t52 () (or @t48 @t5)) % 0.37/0.57 (define @t53 () (forall @t38 @t35)) % 0.37/0.57 (define @t54 () (@quantifiers_skolemize @t53 3)) % 0.37/0.57 (define @t55 () (@quantifiers_skolemize @t53 2)) % 0.37/0.57 (define @t56 () (forall @t12 (or (not (_ @t55 @t1)) (_ @t54 @t1)))) % 0.37/0.57 (define @t57 () (@quantifiers_skolemize @t53 4)) % 0.37/0.57 (define @t58 () (_ @t54 @t57)) % 0.37/0.57 (define @t59 () (@quantifiers_skolemize @t53 1)) % 0.37/0.57 (define @t60 () (_ @t59 @t57)) % 0.37/0.57 (define @t61 () (_ @t55 @t57)) % 0.37/0.57 (define @t62 () (not @t61)) % 0.37/0.57 (define @t63 () (@quantifiers_skolemize @t53 0)) % 0.37/0.57 (define @t64 () (_ @t63 @t57)) % 0.37/0.57 (define @t65 () (not @t64)) % 0.37/0.57 (define @t66 () (and @t65 @t62)) % 0.37/0.57 (define @t67 () (not @t56)) % 0.37/0.57 (define @t68 () (forall @t12 (or (not (_ @t63 @t1)) (_ @t59 @t1)))) % 0.37/0.57 (define @t69 () (not @t68)) % 0.37/0.57 (define @t70 () (or @t69 @t67 @t66 @t60 @t58)) % 0.37/0.57 (define @t71 () (@list true)) % 0.37/0.57 (define @t72 () (@list @t70)) % 0.37/0.57 (define @t73 () (@list @t57)) % 0.37/0.57 (define @t74 () (or @t65 @t60)) % 0.37/0.57 (define @t75 () (@list true false)) % 0.37/0.57 (define @t76 () (or @t62 @t58)) % 0.37/0.57 (define @t77 () (not @t76)) % 0.37/0.57 (assume @p1 @t20) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule aci_norm :args ((= @t37 @t35))) % 0.37/0.57 (step @p4 :rule cong :premises (@p3) :args (@t39)) % 0.37/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t18 @t41) @t39))) % 0.37/0.57 (step @p6 :rule alpha_equiv :args (@t42 (@list @t21) (@list @t1))) % 0.37/0.57 (step @p7 :rule refl :args (@t29)) % 0.37/0.57 (step @p8 :rule refl :args (@t34)) % 0.37/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t43)) % 0.37/0.57 (step @p10 :rule quant-miniscope-or :args ((= @t41 @t43))) % 0.37/0.57 (step @p11 :rule trans :premises (@p10 @p9)) % 0.37/0.57 (step @p12 :rule symm :premises (@p11)) % 0.37/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t18 @t45))) % 0.37/0.57 (step @p14 :rule trans :premises (@p13 @p5)) % 0.37/0.57 (step @p15 :rule trans :premises (@p14 @p4)) % 0.37/0.57 (step @p16 :rule aci_norm :args ((= (or (or @t34 @t29) @t44) @t45))) % 0.37/0.57 (step @p17 :rule refl :args (@t44)) % 0.37/0.57 (step @p18 :rule bool-and-de-morgan :args (@t33 @t28 true)) % 0.37/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t46) @t44))) % 0.37/0.57 (step @p20 :rule trans :premises (@p19 @p16)) % 0.37/0.57 (step @p21 :rule bool-impl-elim :args (@t46 @t44)) % 0.37/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t18 (=> @t46 @t44)))) % 0.37/0.57 (step @p24 :rule trans :premises (@p23 @p15)) % 0.37/0.57 (step @p25 :rule refl :args (@t25)) % 0.37/0.57 (step @p26 :rule refl :args (@t3)) % 0.37/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t25))) % 0.37/0.57 (step @p28 :rule symm :premises (@p27)) % 0.37/0.57 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.57 (step @p30 :rule refl :args (@t30)) % 0.37/0.57 (step @p31 :rule refl :args (@t5)) % 0.37/0.57 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t5 @t30))) % 0.37/0.57 (step @p33 :rule symm :premises (@p32)) % 0.37/0.57 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.37/0.57 (step @p35 :rule refl :args (@t26)) % 0.37/0.57 (step @p36 :rule refl :args (@t8)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t8 @t26))) % 0.37/0.57 (step @p38 :rule symm :premises (@p37)) % 0.37/0.57 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39) :args (@t47)) % 0.37/0.57 (step @p41 :rule refl :args (@t31)) % 0.37/0.57 (step @p42 :rule refl :args (@t10)) % 0.37/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t10 @t31))) % 0.37/0.57 (step @p44 :rule symm :premises (@p43)) % 0.37/0.57 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45) :args (@t48)) % 0.37/0.57 (step @p47 :rule nary_cong :premises (@p46 @p40) :args (@t49)) % 0.37/0.57 (step @p48 :rule nary_cong :premises (@p47 @p34 @p29) :args (@t50)) % 0.37/0.57 (step @p49 :rule cong :premises (@p48) :args ((forall @t12 @t50))) % 0.37/0.57 (step @p50 :rule aci_norm :args ((= (or @t49 @t6) @t50))) % 0.37/0.57 (step @p51 :rule refl :args (@t6)) % 0.37/0.57 (step @p52 :rule bool-or-de-morgan :args (@t10 @t8 false)) % 0.37/0.57 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t11) @t6))) % 0.37/0.57 (step @p54 :rule trans :premises (@p53 @p50)) % 0.37/0.57 (step @p55 :rule bool-impl-elim :args (@t11 @t6)) % 0.37/0.57 (step @p56 :rule trans :premises (@p55 @p54)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56) :args (@t13)) % 0.37/0.57 (step @p58 :rule trans :premises (@p57 @p49)) % 0.37/0.57 (step @p59 :rule nary_cong :premises (@p40 @p29) :args (@t51)) % 0.37/0.57 (step @p60 :rule cong :premises (@p59) :args ((forall @t12 @t51))) % 0.37/0.57 (step @p61 :rule bool-impl-elim :args (@t8 @t3)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61) :args (@t14)) % 0.37/0.57 (step @p63 :rule trans :premises (@p62 @p60)) % 0.37/0.57 (step @p64 :rule nary_cong :premises (@p46 @p34) :args (@t52)) % 0.37/0.57 (step @p65 :rule cong :premises (@p64) :args ((forall @t12 @t52))) % 0.37/0.57 (step @p66 :rule bool-impl-elim :args (@t10 @t5)) % 0.37/0.57 (step @p67 :rule cong :premises (@p66) :args (@t15)) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p65)) % 0.37/0.57 (step @p69 :rule nary_cong :premises (@p68 @p63) :args (@t16)) % 0.37/0.57 (step @p70 :rule cong :premises (@p69 @p58) :args (@t17)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70) :args (@t19)) % 0.37/0.57 (step @p72 :rule trans :premises (@p71 @p24)) % 0.37/0.57 (step @p73 :rule cong :premises (@p72) :args (@t20)) % 0.37/0.57 (step @p74 :rule eq_resolve :premises (@p1 @p73)) % 0.37/0.57 (step @p75 :rule skolemize :premises (@p74)) % 0.37/0.57 (step @p76 :rule bool-double-not-elim :args (@t56)) % 0.37/0.57 (step @p77 :rule refl :args (@t70)) % 0.37/0.57 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t70 (not @t67)))) % 0.37/0.57 (step @p79 :rule cnf_or_neg :args (@t70 1)) % 0.37/0.57 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.37/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t56 @t70))) % 0.37/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p75) :args (@t56 @t71 @t72)) % 0.37/0.57 (step @p83 :rule cnf_or_neg :args (@t70 4)) % 0.37/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p75) :args ((not @t58) @t71 @t72)) % 0.37/0.57 (step @p85 :rule cnf_or_neg :args (@t70 2)) % 0.37/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p75) :args ((not @t66) @t71 @t72)) % 0.37/0.57 (step @p87 :rule bool-double-not-elim :args (@t68)) % 0.37/0.57 (step @p88 :rule nary_cong :premises (@p77 @p87) :args ((or @t70 (not @t69)))) % 0.37/0.57 (step @p89 :rule cnf_or_neg :args (@t70 0)) % 0.37/0.57 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.37/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t68 @t70))) % 0.37/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p75) :args (@t68 @t71 @t72)) % 0.37/0.57 (step @p93 :rule instantiate :premises (@p92) :args (@t73)) % 0.37/0.57 (step @p94 :rule cnf_or_neg :args (@t70 3)) % 0.37/0.57 (step @p95 :rule chain_m_resolution :premises (@p94 @p75) :args ((not @t60) @t71 @t72)) % 0.37/0.57 (step @p96 :rule cnf_or_pos :args (@t74)) % 0.37/0.57 (step @p97 :rule reordering :premises (@p96) :args ((or @t65 @t60 (not @t74)))) % 0.37/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p93) :args (@t65 @t75 (@list @t60 @t74))) % 0.37/0.57 (step @p99 :rule bool-double-not-elim :args (@t61)) % 0.37/0.57 (step @p100 :rule bool-double-not-elim :args (@t64)) % 0.37/0.57 (step @p101 :rule refl :args (@t66)) % 0.37/0.57 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args ((or @t66 (not @t65) (not @t62)))) % 0.37/0.57 (step @p103 :rule cnf_and_neg :args (@t66)) % 0.37/0.57 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.37/0.57 (step @p105 :rule reordering :premises (@p104) :args ((or @t64 @t61 @t66))) % 0.37/0.57 (step @p106 :rule chain_m_resolution :premises (@p105 @p98 @p86) :args (@t61 (@list true true) (@list @t64 @t66))) % 0.37/0.57 (step @p107 :rule cnf_or_pos :args (@t76)) % 0.37/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t62 @t58 @t77))) % 0.37/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p84) :args (@t77 (@list false true) (@list @t61 @t58))) % 0.37/0.57 (assume-push @p116 @t56) % 0.37/0.57 (step @p111 :rule instantiate :premises (@p82) :args (@t73)) % 0.37/0.57 (step-pop @p117 :rule scope :premises (@p111)) % 0.37/0.57 (step @p112 :rule process_scope :premises (@p117) :args (@t76)) % 0.37/0.57 (step @p114 :rule implies_elim :premises (@p112)) % 0.37/0.57 (step @p115 false :rule chain_m_resolution :premises (@p114 @p109 @p82) :args (false @t75 (@list @t76 @t56))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------