%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN382^5 : 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 : 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 09:08:45 AM UTC 2026 % Result : Theorem 0.63s 0.88s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN382^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n002.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 23:25:33 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.63/0.88 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.63/0.88 % SZS status Theorem % 0.63/0.88 % SZS output start Proof % 0.63/0.88 ( % 0.63/0.88 (declare-sort $$unsorted 0) % 0.63/0.88 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.63/0.88 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.63/0.88 (define @t1 () (@var "Xy" $$unsorted)) % 0.63/0.88 (define @t2 () (@var "Xx" $$unsorted)) % 0.63/0.88 (define @t3 () (_ tptp.cQ @t2)) % 0.63/0.88 (define @t4 () (_ @t3 @t1)) % 0.63/0.88 (define @t5 () (_ (_ tptp.cP @t2) @t1)) % 0.63/0.88 (define @t6 () (or @t5 @t4)) % 0.63/0.88 (define @t7 () (@list @t2)) % 0.63/0.88 (define @t8 () (exists @t7 @t6)) % 0.63/0.88 (define @t9 () (@list @t1)) % 0.63/0.88 (define @t10 () (forall @t9 @t8)) % 0.63/0.88 (define @t11 () (@var "Xz" $$unsorted)) % 0.63/0.88 (define @t12 () (_ @t3 @t11)) % 0.63/0.88 (define @t13 () (forall @t9 @t5)) % 0.63/0.88 (define @t14 () (or @t13 @t12)) % 0.63/0.88 (define @t15 () (exists @t7 @t14)) % 0.63/0.88 (define @t16 () (@list @t11)) % 0.63/0.88 (define @t17 () (forall @t16 @t15)) % 0.63/0.88 (define @t18 () (=> @t17 @t10)) % 0.63/0.88 (define @t19 () (not @t18)) % 0.63/0.88 (define @t20 () (@var "BOUND_VARIABLE_7475" $$unsorted)) % 0.63/0.88 (define @t21 () (tptp.cP @t20 @t1)) % 0.63/0.88 (define @t22 () (@list @t20)) % 0.63/0.88 (define @t23 () (forall @t22 (not @t21))) % 0.63/0.88 (define @t24 () (@var "BOUND_VARIABLE_7482" $$unsorted)) % 0.63/0.88 (define @t25 () (tptp.cQ @t24 @t1)) % 0.63/0.88 (define @t26 () (@list @t24)) % 0.63/0.88 (define @t27 () (forall @t26 (not @t25))) % 0.63/0.88 (define @t28 () (_ (_ tptp.cQ @t24) @t1)) % 0.63/0.88 (define @t29 () (not @t28)) % 0.63/0.88 (define @t30 () (forall @t26 @t29)) % 0.63/0.88 (define @t31 () (_ (_ tptp.cP @t20) @t1)) % 0.63/0.88 (define @t32 () (not @t31)) % 0.63/0.88 (define @t33 () (forall @t22 @t32)) % 0.63/0.88 (define @t34 () (not @t4)) % 0.63/0.88 (define @t35 () (forall @t7 @t34)) % 0.63/0.88 (define @t36 () (@list @t2)) % 0.63/0.88 (define @t37 () (@list @t24)) % 0.63/0.88 (define @t38 () (not @t5)) % 0.63/0.88 (define @t39 () (forall @t7 @t38)) % 0.63/0.88 (define @t40 () (and @t39 @t35)) % 0.63/0.88 (define @t41 () (forall @t7 (not @t6))) % 0.63/0.88 (define @t42 () (not @t41)) % 0.63/0.88 (define @t43 () (@var "BOUND_VARIABLE_7448" $$unsorted)) % 0.63/0.88 (define @t44 () (tptp.cQ @t43 @t11)) % 0.63/0.88 (define @t45 () (@list @t43)) % 0.63/0.88 (define @t46 () (forall @t45 (not @t44))) % 0.63/0.88 (define @t47 () (not @t46)) % 0.63/0.88 (define @t48 () (forall @t16 @t47)) % 0.63/0.88 (define @t49 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.63/0.88 (define @t50 () (forall (@list @t49) (not (forall @t9 (tptp.cP @t49 @t1))))) % 0.63/0.88 (define @t51 () (not @t50)) % 0.63/0.88 (define @t52 () (_ (_ tptp.cQ @t43) @t11)) % 0.63/0.88 (define @t53 () (not @t52)) % 0.63/0.88 (define @t54 () (forall @t45 @t53)) % 0.63/0.88 (define @t55 () (not @t12)) % 0.63/0.88 (define @t56 () (forall @t7 @t55)) % 0.63/0.88 (define @t57 () (@list @t43)) % 0.63/0.88 (define @t58 () (tptp.cP @t2 @t1)) % 0.63/0.88 (define @t59 () (forall @t9 @t58)) % 0.63/0.88 (define @t60 () (not @t59)) % 0.63/0.88 (define @t61 () (forall @t7 @t60)) % 0.63/0.88 (define @t62 () (and @t61 @t56)) % 0.63/0.88 (define @t63 () (or @t59 @t12)) % 0.63/0.88 (define @t64 () (forall @t7 (not @t63))) % 0.63/0.88 (define @t65 () (not @t64)) % 0.63/0.88 (define @t66 () (@quantifiers_skolemize (forall @t9 (or (not @t23) (not @t27))) 0)) % 0.63/0.88 (define @t67 () (forall @t22 (not (tptp.cP @t20 @t66)))) % 0.63/0.88 (define @t68 () (forall @t26 (not (tptp.cQ @t24 @t66)))) % 0.63/0.88 (define @t69 () (not @t68)) % 0.63/0.88 (define @t70 () (not @t67)) % 0.63/0.88 (define @t71 () (or @t70 @t69)) % 0.63/0.88 (define @t72 () (@list true)) % 0.63/0.88 (define @t73 () (@list @t71)) % 0.63/0.88 (define @t74 () (@quantifiers_skolemize @t50 0)) % 0.63/0.88 (define @t75 () (forall @t9 (tptp.cP @t74 @t1))) % 0.63/0.88 (define @t76 () (@list @t66)) % 0.63/0.88 (define @t77 () (tptp.cP @t74 @t66)) % 0.63/0.88 (define @t78 () (not @t75)) % 0.63/0.88 (define @t79 () (not @t78)) % 0.63/0.88 (define @t80 () (@list false)) % 0.63/0.88 (define @t81 () (forall @t45 (not (tptp.cQ @t43 @t66)))) % 0.63/0.88 (assume @p1 @t19) % 0.63/0.88 (assume @p2 true) % 0.63/0.88 (step @p3 :rule bool-and-de-morgan :args (@t23 @t27 true)) % 0.63/0.88 (step @p4 :rule cong :premises (@p3) :args ((forall @t9 (not (and @t23 @t27))))) % 0.63/0.88 (step @p5 :rule refl :args (@t25)) % 0.63/0.88 (step @p6 :rule refl :args (@t28)) % 0.63/0.88 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t28 @t25))) % 0.63/0.88 (step @p8 :rule symm :premises (@p7)) % 0.63/0.88 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.63/0.88 (step @p10 :rule cong :premises (@p9) :args (@t29)) % 0.63/0.88 (step @p11 :rule cong :premises (@p10) :args (@t30)) % 0.63/0.88 (step @p12 :rule refl :args (@t21)) % 0.63/0.88 (step @p13 :rule refl :args (@t31)) % 0.63/0.88 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t31 @t21))) % 0.63/0.88 (step @p15 :rule symm :premises (@p14)) % 0.63/0.88 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.63/0.88 (step @p17 :rule cong :premises (@p16) :args (@t32)) % 0.63/0.88 (step @p18 :rule cong :premises (@p17) :args (@t33)) % 0.63/0.88 (step @p19 :rule nary_cong :premises (@p18 @p11) :args ((and @t33 @t30))) % 0.63/0.88 (step @p20 :rule alpha_equiv :args (@t35 @t36 @t37)) % 0.63/0.88 (step @p21 :rule alpha_equiv :args (@t39 @t36 (@list @t20))) % 0.63/0.88 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t40)) % 0.63/0.88 (step @p23 :rule quant-miniscope-and :args ((= (forall @t7 (and @t38 @t34)) @t40))) % 0.63/0.88 (step @p24 :rule trans :premises (@p23 @p22)) % 0.63/0.88 (step @p25 :rule trans :premises (@p24 @p19)) % 0.63/0.88 (step @p26 :rule bool-or-de-morgan :args (@t5 @t4 false)) % 0.63/0.88 (step @p27 :rule cong :premises (@p26) :args (@t41)) % 0.63/0.88 (step @p28 :rule trans :premises (@p27 @p25)) % 0.63/0.88 (step @p29 :rule cong :premises (@p28) :args (@t42)) % 0.63/0.88 (step @p30 :rule exists-elim :args ((= @t8 @t42))) % 0.63/0.88 (step @p31 :rule trans :premises (@p30 @p29)) % 0.63/0.88 (step @p32 :rule cong :premises (@p31) :args (@t10)) % 0.63/0.88 (step @p33 :rule trans :premises (@p32 @p4)) % 0.63/0.88 (step @p34 :rule quant-miniscope-or :args ((= (forall @t16 (or @t51 @t47)) (or @t51 @t48)))) % 0.63/0.88 (step @p35 :rule bool-and-de-morgan :args (@t50 @t46 true)) % 0.63/0.88 (step @p36 :rule cong :premises (@p35) :args ((forall @t16 (not (and @t50 @t46))))) % 0.63/0.88 (step @p37 :rule trans :premises (@p36 @p34)) % 0.63/0.88 (step @p38 :rule refl :args (@t44)) % 0.63/0.88 (step @p39 :rule refl :args (@t52)) % 0.63/0.88 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t52 @t44))) % 0.63/0.88 (step @p41 :rule symm :premises (@p40)) % 0.63/0.88 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.63/0.88 (step @p43 :rule cong :premises (@p42) :args (@t53)) % 0.63/0.88 (step @p44 :rule cong :premises (@p43) :args (@t54)) % 0.63/0.88 (step @p45 :rule refl :args (@t50)) % 0.63/0.88 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((and @t50 @t54))) % 0.63/0.88 (step @p47 :rule alpha_equiv :args (@t56 @t36 @t57)) % 0.63/0.88 (step @p48 :rule alpha_equiv :args (@t61 @t36 (@list @t49))) % 0.63/0.88 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t62)) % 0.63/0.88 (step @p50 :rule quant-miniscope-and :args ((= (forall @t7 (and @t60 @t55)) @t62))) % 0.63/0.88 (step @p51 :rule trans :premises (@p50 @p49)) % 0.63/0.88 (step @p52 :rule trans :premises (@p51 @p46)) % 0.63/0.88 (step @p53 :rule bool-or-de-morgan :args (@t59 @t12 false)) % 0.63/0.88 (step @p54 :rule cong :premises (@p53) :args (@t64)) % 0.63/0.88 (step @p55 :rule trans :premises (@p54 @p52)) % 0.63/0.88 (step @p56 :rule cong :premises (@p55) :args (@t65)) % 0.63/0.88 (step @p57 :rule exists-elim :args ((= (exists @t7 @t63) @t65))) % 0.63/0.88 (step @p58 :rule trans :premises (@p57 @p56)) % 0.63/0.88 (step @p59 :rule refl :args (@t12)) % 0.63/0.88 (step @p60 :rule refl :args (@t58)) % 0.63/0.88 (step @p61 :rule refl :args (@t5)) % 0.63/0.88 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t5 @t58))) % 0.63/0.88 (step @p63 :rule symm :premises (@p62)) % 0.63/0.88 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.63/0.88 (step @p65 :rule cong :premises (@p64) :args (@t13)) % 0.63/0.88 (step @p66 :rule nary_cong :premises (@p65 @p59) :args (@t14)) % 0.63/0.88 (step @p67 :rule cong :premises (@p66) :args (@t15)) % 0.63/0.88 (step @p68 :rule trans :premises (@p67 @p58)) % 0.63/0.88 (step @p69 :rule cong :premises (@p68) :args (@t17)) % 0.63/0.88 (step @p70 :rule trans :premises (@p69 @p37)) % 0.63/0.88 (step @p71 :rule cong :premises (@p70 @p33) :args (@t18)) % 0.63/0.88 (step @p72 :rule cong :premises (@p71) :args (@t19)) % 0.63/0.88 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 0.63/0.88 (step @p74 :rule not_implies_elim2 :premises (@p73)) % 0.63/0.88 (step @p75 :rule skolemize :premises (@p74)) % 0.63/0.88 (step @p76 :rule bool-double-not-elim :args (@t67)) % 0.63/0.88 (step @p77 :rule refl :args (@t71)) % 0.63/0.88 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t71 (not @t70)))) % 0.63/0.88 (step @p79 :rule cnf_or_neg :args (@t71 0)) % 0.63/0.88 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.63/0.88 (step @p81 :rule reordering :premises (@p80) :args ((or @t67 @t71))) % 0.63/0.88 (step @p82 :rule chain_m_resolution :premises (@p81 @p75) :args (@t67 @t72 @t73)) % 0.63/0.88 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t74))) % 0.63/0.88 (assume-push @p121 @t75) % 0.63/0.88 (step @p85 :rule instantiate :premises (@p121) :args (@t76)) % 0.63/0.88 (step-pop @p122 :rule scope :premises (@p85)) % 0.63/0.88 (step @p86 :rule process_scope :premises (@p122) :args (@t77)) % 0.63/0.88 (step @p88 :rule implies_elim :premises (@p86)) % 0.63/0.88 (step @p89 :rule chain_m_resolution :premises (@p88 @p83) :args (@t78 @t72 (@list @t77))) % 0.63/0.88 (step @p90 :rule refl :args (@t75)) % 0.63/0.88 (step @p91 :rule bool-double-not-elim :args (@t50)) % 0.63/0.88 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t51) @t75))) % 0.63/0.89 (step @p93 :rule bool-double-not-elim :args (@t75)) % 0.63/0.89 (step @p94 :rule refl :args (@t51)) % 0.63/0.89 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t51 @t79))) % 0.63/0.89 (assume-push @p123 @t51) % 0.63/0.89 (step @p97 :rule skolemize :premises (@p123)) % 0.63/0.89 (step-pop @p124 :rule scope :premises (@p97)) % 0.63/0.89 (step @p98 :rule process_scope :premises (@p124) :args (@t79)) % 0.63/0.89 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 0.63/0.89 (step @p101 :rule implies_elim :premises (@p100)) % 0.63/0.89 (step @p102 :rule eq_resolve :premises (@p101 @p92)) % 0.63/0.89 (step @p103 :rule chain_m_resolution :premises (@p102 @p89) :args (@t50 @t72 (@list @t75))) % 0.63/0.89 (step @p104 :rule not_implies_elim1 :premises (@p73)) % 0.63/0.89 (step @p105 :rule chain_m_resolution :premises (@p104 @p103) :args (@t48 @t80 (@list @t50))) % 0.63/0.89 (step @p106 :rule bool-double-not-elim :args (@t68)) % 0.63/0.89 (step @p107 :rule nary_cong :premises (@p77 @p106) :args ((or @t71 (not @t69)))) % 0.63/0.89 (step @p108 :rule cnf_or_neg :args (@t71 1)) % 0.63/0.89 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.63/0.89 (step @p110 :rule reordering :premises (@p109) :args ((or @t68 @t71))) % 0.63/0.89 (step @p111 :rule chain_m_resolution :premises (@p110 @p75) :args (@t68 @t72 @t73)) % 0.63/0.89 (step @p112 :rule alpha_equiv :args (@t68 @t37 @t57)) % 0.63/0.89 (step @p113 :rule equiv_elim1 :premises (@p112)) % 0.63/0.89 (step @p114 :rule chain_m_resolution :premises (@p113 @p111) :args (@t81 @t80 (@list @t68))) % 0.63/0.89 (assume-push @p125 @t48) % 0.63/0.89 (step @p116 :rule instantiate :premises (@p125) :args (@t76)) % 0.63/0.89 (step-pop @p126 :rule scope :premises (@p116)) % 0.63/0.89 (step @p117 :rule process_scope :premises (@p126) :args ((not @t81))) % 0.63/0.89 (step @p119 :rule implies_elim :premises (@p117)) % 0.63/0.89 (step @p120 false :rule chain_m_resolution :premises (@p119 @p114 @p105) :args (false (@list false false) (@list @t81 @t48))) % 0.63/0.89 ) % 0.63/0.89 % SZS output end Proof % 0.63/0.89 % cvc5 exiting %------------------------------------------------------------------------------