%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO308^5 : 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 : n012.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 09:12:24 AM UTC 2026 % Result : Theorem 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO308^5 : 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 % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Wed Jun 3 00:03:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.37 % SZS status Theorem % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.16/0.37 (define @t1 () (@var "Z5" $$unsorted)) % 0.16/0.37 (define @t2 () (_ tptp.cB @t1)) % 0.16/0.37 (define @t3 () (_ tptp.cA @t1)) % 0.16/0.37 (define @t4 () (or @t3 @t2)) % 0.16/0.37 (define @t5 () (@var "Z1" (-> $$unsorted Bool))) % 0.16/0.37 (define @t6 () (_ @t5 @t1)) % 0.16/0.37 (define @t7 () (@list @t1)) % 0.16/0.37 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.16/0.37 (define @t9 () (@var "Z4" $$unsorted)) % 0.16/0.37 (define @t10 () (_ tptp.cB @t9)) % 0.16/0.37 (define @t11 () (_ @t5 @t9)) % 0.16/0.37 (define @t12 () (@list @t9)) % 0.16/0.37 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.16/0.37 (define @t14 () (@var "Z3" $$unsorted)) % 0.16/0.37 (define @t15 () (_ tptp.cA @t14)) % 0.16/0.37 (define @t16 () (_ @t5 @t14)) % 0.16/0.37 (define @t17 () (@list @t14)) % 0.16/0.37 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.16/0.37 (define @t19 () (or @t18 @t13)) % 0.16/0.37 (define @t20 () (=> @t19 @t8)) % 0.16/0.37 (define @t21 () (@list @t5)) % 0.16/0.37 (define @t22 () (forall @t21 @t20)) % 0.16/0.37 (define @t23 () (not @t22)) % 0.16/0.37 (define @t24 () (@var "BOUND_VARIABLE_7469" $$unsorted)) % 0.16/0.37 (define @t25 () (tptp.cB @t24)) % 0.16/0.37 (define @t26 () (tptp.cA @t24)) % 0.16/0.37 (define @t27 () (not (_ @t5 @t24))) % 0.16/0.37 (define @t28 () (tptp.cB @t9)) % 0.16/0.37 (define @t29 () (_ @t5 @t9)) % 0.16/0.37 (define @t30 () (forall @t12 (or (not @t29) @t28))) % 0.16/0.37 (define @t31 () (tptp.cA @t14)) % 0.16/0.37 (define @t32 () (_ @t5 @t14)) % 0.16/0.37 (define @t33 () (forall @t17 (or (not @t32) @t31))) % 0.16/0.37 (define @t34 () (and (not @t33) (not @t30))) % 0.16/0.37 (define @t35 () (or @t34 @t27 @t26 @t25)) % 0.16/0.37 (define @t36 () (or @t27 @t26 @t25)) % 0.16/0.37 (define @t37 () (or @t34 @t36)) % 0.16/0.37 (define @t38 () (@list @t5 @t24)) % 0.16/0.37 (define @t39 () (forall @t38 @t37)) % 0.16/0.37 (define @t40 () (@list @t24)) % 0.16/0.37 (define @t41 () (forall @t40 @t37)) % 0.16/0.37 (define @t42 () (forall @t40 @t36)) % 0.16/0.37 (define @t43 () (or @t34 @t42)) % 0.16/0.37 (define @t44 () (tptp.cB @t1)) % 0.16/0.37 (define @t45 () (tptp.cA @t1)) % 0.16/0.37 (define @t46 () (_ @t5 @t1)) % 0.16/0.37 (define @t47 () (forall @t7 (or (not @t46) @t45 @t44))) % 0.16/0.37 (define @t48 () (or @t33 @t30)) % 0.16/0.37 (define @t49 () (not @t6)) % 0.16/0.37 (define @t50 () (or @t49 @t3 @t2)) % 0.16/0.37 (define @t51 () (not @t11)) % 0.16/0.37 (define @t52 () (or @t51 @t10)) % 0.16/0.37 (define @t53 () (not @t16)) % 0.16/0.37 (define @t54 () (or @t53 @t15)) % 0.16/0.37 (define @t55 () (forall @t38 @t35)) % 0.16/0.37 (define @t56 () (@quantifiers_skolemize @t55 1)) % 0.16/0.37 (define @t57 () (tptp.cB @t56)) % 0.16/0.37 (define @t58 () (tptp.cA @t56)) % 0.16/0.37 (define @t59 () (@quantifiers_skolemize @t55 0)) % 0.16/0.37 (define @t60 () (_ @t59 @t56)) % 0.16/0.37 (define @t61 () (not @t60)) % 0.16/0.37 (define @t62 () (forall @t12 (or (not (_ @t59 @t9)) @t28))) % 0.16/0.37 (define @t63 () (not @t62)) % 0.16/0.37 (define @t64 () (forall @t17 (or (not (_ @t59 @t14)) @t31))) % 0.16/0.37 (define @t65 () (not @t64)) % 0.16/0.37 (define @t66 () (and @t65 @t63)) % 0.16/0.37 (define @t67 () (or @t66 @t61 @t58 @t57)) % 0.16/0.37 (define @t68 () (@list true)) % 0.16/0.37 (define @t69 () (@list @t67)) % 0.16/0.37 (define @t70 () (or @t61 @t58)) % 0.16/0.37 (define @t71 () (not @t70)) % 0.16/0.37 (define @t72 () (@list false true)) % 0.16/0.37 (define @t73 () (@list @t56)) % 0.16/0.37 (define @t74 () (or @t61 @t57)) % 0.16/0.37 (define @t75 () (not @t74)) % 0.16/0.37 (assume @p1 @t23) % 0.16/0.37 (assume @p2 true) % 0.16/0.37 (step @p3 :rule aci_norm :args ((= @t37 @t35))) % 0.16/0.37 (step @p4 :rule cong :premises (@p3) :args (@t39)) % 0.16/0.37 (step @p5 :rule quant-merge-prenex :args ((= (forall @t21 @t41) @t39))) % 0.16/0.37 (step @p6 :rule alpha_equiv :args (@t42 (@list @t24) (@list @t1))) % 0.16/0.37 (step @p7 :rule refl :args (@t34)) % 0.16/0.37 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t43)) % 0.16/0.37 (step @p9 :rule quant-miniscope-or :args ((= @t41 @t43))) % 0.16/0.37 (step @p10 :rule trans :premises (@p9 @p8)) % 0.16/0.37 (step @p11 :rule symm :premises (@p10)) % 0.16/0.37 (step @p12 :rule cong :premises (@p11) :args ((forall @t21 (or @t34 @t47)))) % 0.16/0.37 (step @p13 :rule trans :premises (@p12 @p5)) % 0.16/0.37 (step @p14 :rule trans :premises (@p13 @p4)) % 0.16/0.37 (step @p15 :rule refl :args (@t47)) % 0.16/0.37 (step @p16 :rule bool-or-de-morgan :args (@t33 @t30 false)) % 0.16/0.37 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or (not @t48) @t47))) % 0.16/0.37 (step @p18 :rule bool-impl-elim :args (@t48 @t47)) % 0.16/0.37 (step @p19 :rule trans :premises (@p18 @p17)) % 0.16/0.37 (step @p20 :rule cong :premises (@p19) :args ((forall @t21 (=> @t48 @t47)))) % 0.16/0.37 (step @p21 :rule trans :premises (@p20 @p14)) % 0.16/0.37 (step @p22 :rule refl :args (@t44)) % 0.16/0.37 (step @p23 :rule refl :args (@t2)) % 0.16/0.37 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t2 @t44))) % 0.16/0.37 (step @p25 :rule symm :premises (@p24)) % 0.16/0.37 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.16/0.37 (step @p27 :rule refl :args (@t45)) % 0.16/0.37 (step @p28 :rule refl :args (@t3)) % 0.16/0.37 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t3 @t45))) % 0.16/0.37 (step @p30 :rule symm :premises (@p29)) % 0.16/0.37 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.16/0.37 (step @p32 :rule refl :args (@t46)) % 0.16/0.37 (step @p33 :rule refl :args (@t6)) % 0.16/0.37 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t6 @t46))) % 0.16/0.37 (step @p35 :rule symm :premises (@p34)) % 0.16/0.37 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.16/0.37 (step @p37 :rule cong :premises (@p36) :args (@t49)) % 0.16/0.37 (step @p38 :rule nary_cong :premises (@p37 @p31 @p26) :args (@t50)) % 0.16/0.37 (step @p39 :rule cong :premises (@p38) :args ((forall @t7 @t50))) % 0.16/0.37 (step @p40 :rule aci_norm :args ((= (or @t49 @t4) @t50))) % 0.16/0.37 (step @p41 :rule bool-impl-elim :args (@t6 @t4)) % 0.16/0.37 (step @p42 :rule trans :premises (@p41 @p40)) % 0.16/0.37 (step @p43 :rule cong :premises (@p42) :args (@t8)) % 0.16/0.37 (step @p44 :rule trans :premises (@p43 @p39)) % 0.16/0.37 (step @p45 :rule refl :args (@t28)) % 0.16/0.37 (step @p46 :rule refl :args (@t10)) % 0.16/0.37 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t10 @t28))) % 0.16/0.37 (step @p48 :rule symm :premises (@p47)) % 0.16/0.37 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.16/0.37 (step @p50 :rule refl :args (@t29)) % 0.16/0.37 (step @p51 :rule refl :args (@t11)) % 0.16/0.37 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t11 @t29))) % 0.16/0.37 (step @p53 :rule symm :premises (@p52)) % 0.16/0.37 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.16/0.37 (step @p55 :rule cong :premises (@p54) :args (@t51)) % 0.16/0.37 (step @p56 :rule nary_cong :premises (@p55 @p49) :args (@t52)) % 0.16/0.37 (step @p57 :rule cong :premises (@p56) :args ((forall @t12 @t52))) % 0.16/0.37 (step @p58 :rule bool-impl-elim :args (@t11 @t10)) % 0.16/0.37 (step @p59 :rule cong :premises (@p58) :args (@t13)) % 0.16/0.37 (step @p60 :rule trans :premises (@p59 @p57)) % 0.16/0.37 (step @p61 :rule refl :args (@t31)) % 0.16/0.37 (step @p62 :rule refl :args (@t15)) % 0.16/0.37 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t15 @t31))) % 0.16/0.37 (step @p64 :rule symm :premises (@p63)) % 0.16/0.37 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.16/0.37 (step @p66 :rule refl :args (@t32)) % 0.16/0.37 (step @p67 :rule refl :args (@t16)) % 0.16/0.37 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t16 @t32))) % 0.16/0.37 (step @p69 :rule symm :premises (@p68)) % 0.16/0.37 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.16/0.37 (step @p71 :rule cong :premises (@p70) :args (@t53)) % 0.16/0.37 (step @p72 :rule nary_cong :premises (@p71 @p65) :args (@t54)) % 0.16/0.37 (step @p73 :rule cong :premises (@p72) :args ((forall @t17 @t54))) % 0.16/0.37 (step @p74 :rule bool-impl-elim :args (@t16 @t15)) % 0.16/0.37 (step @p75 :rule cong :premises (@p74) :args (@t18)) % 0.16/0.37 (step @p76 :rule trans :premises (@p75 @p73)) % 0.16/0.37 (step @p77 :rule nary_cong :premises (@p76 @p60) :args (@t19)) % 0.16/0.37 (step @p78 :rule cong :premises (@p77 @p44) :args (@t20)) % 0.16/0.37 (step @p79 :rule cong :premises (@p78) :args (@t22)) % 0.16/0.37 (step @p80 :rule trans :premises (@p79 @p21)) % 0.16/0.37 (step @p81 :rule cong :premises (@p80) :args (@t23)) % 0.16/0.37 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.16/0.37 (step @p83 :rule skolemize :premises (@p82)) % 0.16/0.37 (step @p84 :rule cnf_or_neg :args (@t67 0)) % 0.16/0.37 (step @p85 :rule chain_m_resolution :premises (@p84 @p83) :args ((not @t66) @t68 @t69)) % 0.16/0.37 (step @p86 :rule cnf_or_neg :args (@t67 2)) % 0.16/0.37 (step @p87 :rule chain_m_resolution :premises (@p86 @p83) :args ((not @t58) @t68 @t69)) % 0.16/0.37 (step @p88 :rule bool-double-not-elim :args (@t60)) % 0.16/0.37 (step @p89 :rule refl :args (@t67)) % 0.16/0.37 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t67 (not @t61)))) % 0.16/0.37 (step @p91 :rule cnf_or_neg :args (@t67 1)) % 0.16/0.37 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.16/0.37 (step @p93 :rule reordering :premises (@p92) :args ((or @t60 @t67))) % 0.16/0.37 (step @p94 :rule chain_m_resolution :premises (@p93 @p83) :args (@t60 @t68 @t69)) % 0.16/0.37 (step @p95 :rule cnf_or_pos :args (@t70)) % 0.16/0.37 (step @p96 :rule reordering :premises (@p95) :args ((or @t61 @t58 @t71))) % 0.16/0.37 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p87) :args (@t71 @t72 (@list @t60 @t58))) % 0.16/0.37 (assume-push @p123 @t64) % 0.16/0.37 (step @p99 :rule instantiate :premises (@p123) :args (@t73)) % 0.16/0.37 (step-pop @p124 :rule scope :premises (@p99)) % 0.16/0.37 (step @p100 :rule process_scope :premises (@p124) :args (@t70)) % 0.16/0.37 (step @p102 :rule implies_elim :premises (@p100)) % 0.16/0.37 (step @p103 :rule chain_m_resolution :premises (@p102 @p97) :args (@t65 @t68 (@list @t70))) % 0.16/0.37 (step @p104 :rule bool-double-not-elim :args (@t62)) % 0.16/0.37 (step @p105 :rule bool-double-not-elim :args (@t64)) % 0.16/0.37 (step @p106 :rule refl :args (@t66)) % 0.16/0.37 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args ((or @t66 (not @t65) (not @t63)))) % 0.16/0.37 (step @p108 :rule cnf_and_neg :args (@t66)) % 0.16/0.37 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.16/0.37 (step @p110 :rule reordering :premises (@p109) :args ((or @t64 @t62 @t66))) % 0.16/0.37 (step @p111 :rule chain_m_resolution :premises (@p110 @p103 @p85) :args (@t62 (@list true true) (@list @t64 @t66))) % 0.16/0.37 (step @p112 :rule cnf_or_neg :args (@t67 3)) % 0.16/0.37 (step @p113 :rule chain_m_resolution :premises (@p112 @p83) :args ((not @t57) @t68 @t69)) % 0.16/0.37 (step @p114 :rule cnf_or_pos :args (@t74)) % 0.16/0.37 (step @p115 :rule reordering :premises (@p114) :args ((or @t61 @t57 @t75))) % 0.16/0.37 (step @p116 :rule chain_m_resolution :premises (@p115 @p94 @p113) :args (@t75 @t72 (@list @t60 @t57))) % 0.16/0.37 (assume-push @p125 @t62) % 0.16/0.37 (step @p118 :rule instantiate :premises (@p125) :args (@t73)) % 0.16/0.37 (step-pop @p126 :rule scope :premises (@p118)) % 0.16/0.37 (step @p119 :rule process_scope :premises (@p126) :args (@t74)) % 0.16/0.37 (step @p121 :rule implies_elim :premises (@p119)) % 0.16/0.37 (step @p122 false :rule chain_m_resolution :premises (@p121 @p116 @p111) :args (false (@list true false) (@list @t74 @t62))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------