%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN381^5 : 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 : n010.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 09:08:44 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN381^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:25:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "Xz" $$unsorted)) % 0.37/0.59 (define @t2 () (_ tptp.cP @t1)) % 0.37/0.59 (define @t3 () (@list @t1)) % 0.37/0.59 (define @t4 () (forall @t3 @t2)) % 0.37/0.59 (define @t5 () (_ tptp.cQ @t1)) % 0.37/0.59 (define @t6 () (_ @t5 @t1)) % 0.37/0.59 (define @t7 () (@var "Xw" $$unsorted)) % 0.37/0.59 (define @t8 () (_ @t5 @t7)) % 0.37/0.59 (define @t9 () (or @t8 @t6)) % 0.37/0.59 (define @t10 () (_ (_ tptp.cQ @t7) @t1)) % 0.37/0.59 (define @t11 () (@list @t7 @t1)) % 0.37/0.59 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.37/0.59 (define @t13 () (@var "Xv" $$unsorted)) % 0.37/0.59 (define @t14 () (@var "Xu" $$unsorted)) % 0.37/0.59 (define @t15 () (_ (_ tptp.cQ @t14) @t13)) % 0.37/0.59 (define @t16 () (@list @t14)) % 0.37/0.59 (define @t17 () (exists @t16 @t15)) % 0.37/0.59 (define @t18 () (forall (@list @t13) @t17)) % 0.37/0.59 (define @t19 () (@var "Xx" $$unsorted)) % 0.37/0.59 (define @t20 () (_ tptp.cP @t19)) % 0.37/0.59 (define @t21 () (@var "Xy" $$unsorted)) % 0.37/0.59 (define @t22 () (_ (_ tptp.cQ @t19) @t21)) % 0.37/0.59 (define @t23 () (@list @t21)) % 0.37/0.59 (define @t24 () (exists @t23 @t22)) % 0.37/0.59 (define @t25 () (=> @t24 @t20)) % 0.37/0.59 (define @t26 () (@list @t19)) % 0.37/0.59 (define @t27 () (forall @t26 @t25)) % 0.37/0.59 (define @t28 () (and @t27 @t18 @t12)) % 0.37/0.59 (define @t29 () (=> @t28 @t4)) % 0.37/0.59 (define @t30 () (not @t29)) % 0.37/0.59 (define @t31 () (tptp.cP @t1)) % 0.37/0.59 (define @t32 () (tptp.cQ @t1 @t1)) % 0.37/0.59 (define @t33 () (tptp.cQ @t1 @t7)) % 0.37/0.59 (define @t34 () (tptp.cQ @t7 @t1)) % 0.37/0.59 (define @t35 () (not @t10)) % 0.37/0.59 (define @t36 () (or @t35 @t8 @t6)) % 0.37/0.59 (define @t37 () (tptp.cQ @t14 @t13)) % 0.37/0.59 (define @t38 () (not @t15)) % 0.37/0.59 (define @t39 () (forall @t16 @t38)) % 0.37/0.59 (define @t40 () (not @t39)) % 0.37/0.59 (define @t41 () (tptp.cP @t19)) % 0.37/0.59 (define @t42 () (@var "BOUND_VARIABLE_7459" $$unsorted)) % 0.37/0.59 (define @t43 () (not (tptp.cQ @t19 @t42))) % 0.37/0.59 (define @t44 () (or @t43 @t41)) % 0.37/0.59 (define @t45 () (forall (@list @t19 @t42) @t44)) % 0.37/0.59 (define @t46 () (@list @t42)) % 0.37/0.59 (define @t47 () (forall @t46 @t44)) % 0.37/0.59 (define @t48 () (forall @t46 @t43)) % 0.37/0.59 (define @t49 () (or @t48 @t41)) % 0.37/0.59 (define @t50 () (tptp.cQ @t19 @t21)) % 0.37/0.59 (define @t51 () (forall @t23 (not @t50))) % 0.37/0.59 (define @t52 () (or @t51 @t20)) % 0.37/0.59 (define @t53 () (not @t51)) % 0.37/0.59 (define @t54 () (not @t22)) % 0.37/0.59 (define @t55 () (forall @t23 @t54)) % 0.37/0.59 (define @t56 () (not @t55)) % 0.37/0.59 (define @t57 () (@quantifiers_skolemize (forall @t3 @t31) 0)) % 0.37/0.59 (define @t58 () (forall @t16 (not (tptp.cQ @t14 @t57)))) % 0.37/0.59 (define @t59 () (@quantifiers_skolemize @t58 0)) % 0.37/0.59 (define @t60 () (tptp.cP @t57)) % 0.37/0.59 (define @t61 () (tptp.cQ @t57 @t59)) % 0.37/0.59 (define @t62 () (not @t61)) % 0.37/0.59 (define @t63 () (or @t62 @t60)) % 0.37/0.59 (define @t64 () (@list true false)) % 0.37/0.59 (define @t65 () (tptp.cQ @t59 @t57)) % 0.37/0.59 (define @t66 () (not @t58)) % 0.37/0.59 (define @t67 () (not @t65)) % 0.37/0.59 (define @t68 () (not @t67)) % 0.37/0.59 (define @t69 () (tptp.cQ @t57 @t57)) % 0.37/0.59 (define @t70 () (or @t67 @t61 @t69)) % 0.37/0.59 (define @t71 () (not @t69)) % 0.37/0.59 (define @t72 () (or @t71 @t60)) % 0.37/0.59 (define @t73 () (not @t72)) % 0.37/0.59 (assume @p1 @t30) % 0.37/0.59 (assume @p2 true) % 0.37/0.59 (step @p3 :rule refl :args (@t31)) % 0.37/0.59 (step @p4 :rule refl :args (@t2)) % 0.37/0.59 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t31))) % 0.37/0.59 (step @p6 :rule symm :premises (@p5)) % 0.37/0.59 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.37/0.59 (step @p8 :rule cong :premises (@p7) :args (@t4)) % 0.37/0.59 (step @p9 :rule refl :args (@t32)) % 0.37/0.59 (step @p10 :rule refl :args (@t6)) % 0.37/0.59 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t6 @t32))) % 0.37/0.59 (step @p12 :rule symm :premises (@p11)) % 0.37/0.59 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.37/0.59 (step @p14 :rule refl :args (@t33)) % 0.37/0.59 (step @p15 :rule refl :args (@t8)) % 0.37/0.59 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t8 @t33))) % 0.37/0.59 (step @p17 :rule symm :premises (@p16)) % 0.37/0.59 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.37/0.59 (step @p19 :rule refl :args (@t34)) % 0.37/0.59 (step @p20 :rule refl :args (@t10)) % 0.37/0.59 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t10 @t34))) % 0.37/0.59 (step @p22 :rule symm :premises (@p21)) % 0.37/0.59 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.37/0.59 (step @p24 :rule cong :premises (@p23) :args (@t35)) % 0.37/0.59 (step @p25 :rule nary_cong :premises (@p24 @p18 @p13) :args (@t36)) % 0.37/0.59 (step @p26 :rule cong :premises (@p25) :args ((forall @t11 @t36))) % 0.37/0.59 (step @p27 :rule aci_norm :args ((= (or @t35 @t9) @t36))) % 0.37/0.59 (step @p28 :rule bool-impl-elim :args (@t10 @t9)) % 0.37/0.59 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.59 (step @p30 :rule cong :premises (@p29) :args (@t12)) % 0.37/0.59 (step @p31 :rule trans :premises (@p30 @p26)) % 0.37/0.59 (step @p32 :rule refl :args (@t37)) % 0.37/0.59 (step @p33 :rule refl :args (@t15)) % 0.37/0.59 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t15 @t37))) % 0.37/0.59 (step @p35 :rule symm :premises (@p34)) % 0.37/0.59 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.37/0.59 (step @p37 :rule cong :premises (@p36) :args (@t38)) % 0.37/0.59 (step @p38 :rule cong :premises (@p37) :args (@t39)) % 0.37/0.59 (step @p39 :rule cong :premises (@p38) :args (@t40)) % 0.37/0.59 (step @p40 :rule exists-elim :args ((= @t17 @t40))) % 0.37/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.59 (step @p42 :rule cong :premises (@p41) :args (@t18)) % 0.37/0.59 (step @p43 :rule quant-merge-prenex :args ((= (forall @t26 @t47) @t45))) % 0.37/0.59 (step @p44 :rule refl :args (@t41)) % 0.37/0.59 (step @p45 :rule alpha_equiv :args (@t48 (@list @t42) (@list @t21))) % 0.37/0.59 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t49)) % 0.37/0.59 (step @p47 :rule quant-miniscope-or :args ((= @t47 @t49))) % 0.37/0.59 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.59 (step @p49 :rule symm :premises (@p48)) % 0.37/0.59 (step @p50 :rule cong :premises (@p49) :args ((forall @t26 (or @t51 @t41)))) % 0.37/0.59 (step @p51 :rule trans :premises (@p50 @p43)) % 0.37/0.59 (step @p52 :rule refl :args (@t41)) % 0.37/0.59 (step @p53 :rule refl :args (@t20)) % 0.37/0.59 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t20 @t41))) % 0.37/0.59 (step @p55 :rule symm :premises (@p54)) % 0.37/0.59 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.37/0.59 (step @p57 :rule refl :args (@t51)) % 0.37/0.59 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t52)) % 0.37/0.59 (step @p59 :rule cong :premises (@p58) :args ((forall @t26 @t52))) % 0.37/0.59 (step @p60 :rule trans :premises (@p59 @p51)) % 0.37/0.59 (step @p61 :rule bool-double-not-elim :args (@t51)) % 0.37/0.59 (step @p62 :rule nary_cong :premises (@p61 @p53) :args ((or (not @t53) @t20))) % 0.37/0.59 (step @p63 :rule bool-impl-elim :args (@t53 @t20)) % 0.37/0.59 (step @p64 :rule trans :premises (@p63 @p62)) % 0.37/0.59 (step @p65 :rule cong :premises (@p64) :args ((forall @t26 (=> @t53 @t20)))) % 0.37/0.59 (step @p66 :rule trans :premises (@p65 @p60)) % 0.37/0.59 (step @p67 :rule refl :args (@t20)) % 0.37/0.59 (step @p68 :rule refl :args (@t50)) % 0.37/0.59 (step @p69 :rule refl :args (@t22)) % 0.37/0.59 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t22 @t50))) % 0.37/0.59 (step @p71 :rule symm :premises (@p70)) % 0.37/0.59 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.37/0.59 (step @p73 :rule cong :premises (@p72) :args (@t54)) % 0.37/0.59 (step @p74 :rule cong :premises (@p73) :args (@t55)) % 0.37/0.59 (step @p75 :rule cong :premises (@p74) :args (@t56)) % 0.37/0.59 (step @p76 :rule exists-elim :args ((= @t24 @t56))) % 0.37/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.37/0.59 (step @p78 :rule cong :premises (@p77 @p67) :args (@t25)) % 0.37/0.59 (step @p79 :rule cong :premises (@p78) :args (@t27)) % 0.37/0.59 (step @p80 :rule trans :premises (@p79 @p66)) % 0.37/0.59 (step @p81 :rule nary_cong :premises (@p80 @p42 @p31) :args (@t28)) % 0.37/0.59 (step @p82 :rule cong :premises (@p81 @p8) :args (@t29)) % 0.37/0.59 (step @p83 :rule cong :premises (@p82) :args (@t30)) % 0.37/0.59 (step @p84 :rule eq_resolve :premises (@p1 @p83)) % 0.37/0.59 (step @p85 :rule not_implies_elim1 :premises (@p84)) % 0.37/0.59 (step @p86 :rule and_elim :premises (@p85) :args (0)) % 0.37/0.59 (step @p87 :rule and_elim :premises (@p85) :args (2)) % 0.37/0.59 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t59 @t57))) % 0.37/0.59 (step @p89 :rule instantiate :premises (@p86) :args ((@list @t57 @t59))) % 0.37/0.59 (step @p90 :rule not_implies_elim2 :premises (@p84)) % 0.37/0.59 (step @p91 :rule skolemize :premises (@p90)) % 0.37/0.59 (step @p92 :rule cnf_or_pos :args (@t63)) % 0.37/0.59 (step @p93 :rule reordering :premises (@p92) :args ((or @t60 @t62 (not @t63)))) % 0.37/0.59 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p89) :args (@t62 @t64 (@list @t60 @t63))) % 0.37/0.59 (step @p95 :rule and_elim :premises (@p85) :args (1)) % 0.37/0.59 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t57))) % 0.37/0.59 (step @p97 :rule refl :args (@t65)) % 0.37/0.59 (step @p98 :rule bool-double-not-elim :args (@t58)) % 0.37/0.59 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t66) @t65))) % 0.37/0.59 (step @p100 :rule bool-double-not-elim :args (@t65)) % 0.37/0.59 (step @p101 :rule refl :args (@t66)) % 0.37/0.59 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t66 @t68))) % 0.37/0.59 (assume-push @p123 @t66) % 0.37/0.59 (step @p104 :rule skolemize :premises (@p96)) % 0.37/0.59 (step-pop @p124 :rule scope :premises (@p104)) % 0.37/0.59 (step @p105 :rule process_scope :premises (@p124) :args (@t68)) % 0.37/0.59 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.37/0.59 (step @p108 :rule implies_elim :premises (@p107)) % 0.37/0.59 (step @p109 :rule eq_resolve :premises (@p108 @p99)) % 0.37/0.59 (step @p110 :rule chain_m_resolution :premises (@p109 @p96) :args (@t65 (@list true) (@list @t58))) % 0.37/0.59 (step @p111 :rule cnf_or_pos :args (@t70)) % 0.37/0.59 (step @p112 :rule reordering :premises (@p111) :args ((or @t67 @t61 @t69 (not @t70)))) % 0.37/0.59 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p94 @p88) :args (@t69 (@list false true false) (@list @t65 @t61 @t70))) % 0.37/0.59 (step @p114 :rule cnf_or_pos :args (@t72)) % 0.37/0.59 (step @p115 :rule reordering :premises (@p114) :args ((or @t60 @t71 @t73))) % 0.37/0.59 (step @p116 :rule chain_m_resolution :premises (@p115 @p91 @p113) :args (@t73 @t64 (@list @t60 @t69))) % 0.37/0.59 (assume-push @p125 @t45) % 0.37/0.59 (step @p118 :rule instantiate :premises (@p86) :args ((@list @t57 @t57))) % 0.37/0.59 (step-pop @p126 :rule scope :premises (@p118)) % 0.37/0.59 (step @p119 :rule process_scope :premises (@p126) :args (@t72)) % 0.37/0.59 (step @p121 :rule implies_elim :premises (@p119)) % 0.37/0.59 (step @p122 false :rule chain_m_resolution :premises (@p121 @p116 @p86) :args (false @t64 (@list @t72 @t45))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------