%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS099+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:28:55 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS099+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:27:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.56 % SZS status Unsatisfiable % 0.33/0.56 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort $$unsorted 0) % 0.40/0.57 (declare-const tptp.i2003_11_14_17_20_29215 $$unsorted) % 0.40/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.rtt (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.ca (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.40/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.57 (define @t3 () (= @t2 @t1)) % 0.40/0.57 (define @t4 () (@list @t2 @t1)) % 0.40/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.40/0.57 (define @t6 () (@list @t2 @t1 @t5)) % 0.40/0.57 (define @t7 () (@var "X" $$unsorted)) % 0.40/0.57 (define @t8 () (@list @t7)) % 0.40/0.57 (define @t9 () (@var "Y1" $$unsorted)) % 0.40/0.57 (define @t10 () (@var "Y0" $$unsorted)) % 0.40/0.57 (define @t11 () (= @t10 @t9)) % 0.40/0.57 (define @t12 () (tptp.rtt @t7 @t9)) % 0.40/0.57 (define @t13 () (tptp.rtt @t7 @t10)) % 0.40/0.57 (define @t14 () (and @t13 @t12)) % 0.40/0.57 (define @t15 () (@list @t10 @t9)) % 0.40/0.57 (define @t16 () (forall @t15 (=> @t14 @t11))) % 0.40/0.57 (define @t17 () (@var "Y" $$unsorted)) % 0.40/0.57 (define @t18 () (tptp.ca @t17)) % 0.40/0.57 (define @t19 () (tptp.rtt @t7 @t17)) % 0.40/0.57 (define @t20 () (@list @t17)) % 0.40/0.57 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.40/0.57 (define @t22 () (@var "Y2" $$unsorted)) % 0.40/0.57 (define @t23 () (= @t9 @t22)) % 0.40/0.57 (define @t24 () (not @t23)) % 0.40/0.57 (define @t25 () (= @t10 @t22)) % 0.40/0.57 (define @t26 () (not @t25)) % 0.40/0.57 (define @t27 () (not @t11)) % 0.40/0.57 (define @t28 () (tptp.rtt @t7 @t22)) % 0.40/0.57 (define @t29 () (and @t13 @t12 @t28 @t27 @t26 @t24)) % 0.40/0.57 (define @t30 () (@list @t10 @t9 @t22)) % 0.40/0.57 (define @t31 () (exists @t30 @t29)) % 0.40/0.57 (define @t32 () (and @t31 @t21 @t16 @t16)) % 0.40/0.57 (define @t33 () (tptp.cUnsatisfiable @t7)) % 0.40/0.57 (define @t34 () (= @t33 @t32)) % 0.40/0.57 (define @t35 () (forall @t8 @t34)) % 0.40/0.57 (define @t36 () (tptp.cc @t7)) % 0.40/0.57 (define @t37 () (tptp.cd @t7)) % 0.40/0.57 (define @t38 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_20_29215)) % 0.40/0.57 (define @t39 () (not @t12)) % 0.40/0.57 (define @t40 () (not @t13)) % 0.40/0.57 (define @t41 () (or @t40 @t39 @t11)) % 0.40/0.57 (define @t42 () (forall @t15 @t41)) % 0.40/0.57 (define @t43 () (forall @t20 (or (not @t19) @t18))) % 0.40/0.57 (define @t44 () (not @t28)) % 0.40/0.57 (define @t45 () (not (forall @t30 (or @t40 @t39 @t44 @t11 @t25 @t23)))) % 0.40/0.57 (define @t46 () (and @t45 @t43 @t42 @t42)) % 0.40/0.57 (define @t47 () (= @t33 @t46)) % 0.40/0.57 (define @t48 () (not @t24)) % 0.40/0.57 (define @t49 () (not @t26)) % 0.40/0.57 (define @t50 () (not @t27)) % 0.40/0.57 (define @t51 () (or @t40 @t39 @t44 @t50 @t49 @t48)) % 0.40/0.57 (define @t52 () (forall @t30 (not @t29))) % 0.40/0.57 (define @t53 () (not @t52)) % 0.40/0.57 (define @t54 () (not (tptp.rtt tptp.i2003_11_14_17_20_29215 @t9))) % 0.40/0.57 (define @t55 () (not (tptp.rtt tptp.i2003_11_14_17_20_29215 @t10))) % 0.40/0.57 (define @t56 () (forall @t15 (or @t55 @t54 @t11))) % 0.40/0.57 (define @t57 () (forall @t30 (or @t55 @t54 (not (tptp.rtt tptp.i2003_11_14_17_20_29215 @t22)) @t11 @t25 @t23))) % 0.40/0.57 (define @t58 () (not @t57)) % 0.40/0.57 (define @t59 () (and @t58 (forall @t20 (or (not (tptp.rtt tptp.i2003_11_14_17_20_29215 @t17)) @t18)) @t56)) % 0.40/0.57 (define @t60 () (= @t38 @t59)) % 0.40/0.57 (define @t61 () (not @t59)) % 0.40/0.57 (define @t62 () (@list false)) % 0.40/0.57 (define @t63 () (@list @t59)) % 0.40/0.57 (define @t64 () (@quantifiers_skolemize @t57 2)) % 0.40/0.57 (define @t65 () (@quantifiers_skolemize @t57 1)) % 0.40/0.57 (define @t66 () (@quantifiers_skolemize @t57 0)) % 0.40/0.57 (define @t67 () (= @t66 @t65)) % 0.40/0.57 (define @t68 () (tptp.rtt tptp.i2003_11_14_17_20_29215 @t65)) % 0.40/0.57 (define @t69 () (not @t68)) % 0.40/0.57 (define @t70 () (tptp.rtt tptp.i2003_11_14_17_20_29215 @t66)) % 0.40/0.57 (define @t71 () (not @t70)) % 0.40/0.57 (define @t72 () (or @t71 @t69 (not (tptp.rtt tptp.i2003_11_14_17_20_29215 @t64)) @t67 (= @t66 @t64) (= @t65 @t64))) % 0.40/0.57 (define @t73 () (@list true)) % 0.40/0.57 (define @t74 () (@list @t72)) % 0.40/0.57 (define @t75 () (or @t71 @t69 @t67)) % 0.40/0.57 (define @t76 () (not @t75)) % 0.40/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.40/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca @t2)) (tptp.ca @t1)))) % 0.40/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.40/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cd @t2)) (tptp.cd @t1)))) % 0.40/0.57 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.40/0.57 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.40/0.57 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rtt @t2 @t5)) (tptp.rtt @t1 @t5)))) % 0.40/0.57 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rtt @t5 @t2)) (tptp.rtt @t5 @t1)))) % 0.40/0.57 (assume @p9 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.40/0.57 (assume @p10 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.40/0.57 (assume @p11 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.40/0.57 (assume @p12 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.40/0.57 (assume @p13 @t35) % 0.40/0.57 (assume @p14 (forall @t8 (=> (tptp.ca @t7) (or @t37 @t36)))) % 0.40/0.57 (assume @p15 (forall @t8 (=> @t36 (not @t37)))) % 0.40/0.57 (assume @p16 @t38) % 0.40/0.57 (step @p17 :rule aci_norm :args ((= @t46 (and @t45 @t43 @t42)))) % 0.40/0.57 (step @p18 :rule refl :args (@t33)) % 0.40/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args (@t47)) % 0.40/0.57 (step @p20 :rule cong :premises (@p19) :args ((forall @t8 @t47))) % 0.40/0.57 (step @p21 :rule aci_norm :args ((= (or (or @t40 @t39) @t11) @t41))) % 0.40/0.57 (step @p22 :rule refl :args (@t11)) % 0.40/0.57 (step @p23 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.40/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t14) @t11))) % 0.40/0.57 (step @p25 :rule trans :premises (@p24 @p21)) % 0.40/0.57 (step @p26 :rule bool-impl-elim :args (@t14 @t11)) % 0.40/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.40/0.57 (step @p28 :rule cong :premises (@p27) :args (@t16)) % 0.40/0.57 (step @p29 :rule bool-impl-elim :args (@t19 @t18)) % 0.40/0.57 (step @p30 :rule cong :premises (@p29) :args (@t21)) % 0.40/0.57 (step @p31 :rule bool-double-not-elim :args (@t23)) % 0.40/0.57 (step @p32 :rule bool-double-not-elim :args (@t25)) % 0.40/0.57 (step @p33 :rule bool-double-not-elim :args (@t11)) % 0.40/0.57 (step @p34 :rule refl :args (@t44)) % 0.40/0.57 (step @p35 :rule refl :args (@t39)) % 0.40/0.57 (step @p36 :rule refl :args (@t40)) % 0.40/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34 @p33 @p32 @p31) :args (@t51)) % 0.40/0.57 (step @p38 :rule aci_norm :args ((= (or @t40 (or @t39 (or @t44 (or @t50 (or @t49 @t48))))) @t51))) % 0.40/0.57 (step @p39 :rule trans :premises (@p38 @p37)) % 0.40/0.57 (step @p40 :rule bool-and-de-morgan :args (@t26 @t24 true)) % 0.40/0.57 (step @p41 :rule refl :args (@t50)) % 0.40/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t50 (not (and @t26 @t24))))) % 0.40/0.57 (step @p43 :rule bool-and-de-morgan :args (@t27 @t26 (and @t24))) % 0.40/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.40/0.57 (step @p45 :rule nary_cong :premises (@p34 @p44) :args ((or @t44 (not (and @t27 @t26 @t24))))) % 0.40/0.57 (step @p46 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t24))) % 0.40/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.40/0.57 (step @p48 :rule nary_cong :premises (@p35 @p47) :args ((or @t39 (not (and @t28 @t27 @t26 @t24))))) % 0.40/0.57 (step @p49 :rule bool-and-de-morgan :args (@t12 @t28 (and @t27 @t26 @t24))) % 0.40/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.40/0.57 (step @p51 :rule nary_cong :premises (@p36 @p50) :args ((or @t40 (not (and @t12 @t28 @t27 @t26 @t24))))) % 0.40/0.57 (step @p52 :rule bool-and-de-morgan :args (@t13 @t12 (and @t28 @t27 @t26 @t24))) % 0.40/0.57 (step @p53 :rule trans :premises (@p52 @p51)) % 0.40/0.57 (step @p54 :rule trans :premises (@p53 @p39)) % 0.40/0.57 (step @p55 :rule cong :premises (@p54) :args (@t52)) % 0.40/0.57 (step @p56 :rule cong :premises (@p55) :args (@t53)) % 0.40/0.57 (step @p57 :rule exists-elim :args ((= @t31 @t53))) % 0.40/0.57 (step @p58 :rule trans :premises (@p57 @p56)) % 0.40/0.57 (step @p59 :rule nary_cong :premises (@p58 @p30 @p28 @p28) :args (@t32)) % 0.40/0.57 (step @p60 :rule refl :args (@t33)) % 0.40/0.57 (step @p61 :rule cong :premises (@p60 @p59) :args (@t34)) % 0.40/0.57 (step @p62 :rule cong :premises (@p61) :args (@t35)) % 0.40/0.57 (step @p63 :rule trans :premises (@p62 @p20)) % 0.40/0.57 (step @p64 :rule eq_resolve :premises (@p13 @p63)) % 0.40/0.57 (step @p65 :rule instantiate :premises (@p64) :args ((@list tptp.i2003_11_14_17_20_29215))) % 0.40/0.57 (step @p66 :rule cnf_equiv_pos1 :args (@t60)) % 0.40/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or (not @t38) @t59 (not @t60)))) % 0.40/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p16 @p65) :args (@t59 (@list false false) (@list @t38 @t60))) % 0.40/0.57 (step @p69 :rule cnf_and_pos :args (@t59 2)) % 0.40/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t56 @t61))) % 0.40/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t56 @t62 @t63)) % 0.40/0.57 (step @p72 :rule cnf_and_pos :args (@t59 0)) % 0.40/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t58 @t61))) % 0.40/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p68) :args (@t58 @t62 @t63)) % 0.40/0.57 (step @p75 :rule skolemize :premises (@p74)) % 0.40/0.57 (step @p76 :rule cnf_or_neg :args (@t72 3)) % 0.40/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p75) :args ((not @t67) @t73 @t74)) % 0.40/0.57 (step @p78 :rule bool-double-not-elim :args (@t68)) % 0.40/0.57 (step @p79 :rule refl :args (@t72)) % 0.40/0.57 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t72 (not @t69)))) % 0.40/0.57 (step @p81 :rule cnf_or_neg :args (@t72 1)) % 0.40/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.40/0.57 (step @p83 :rule reordering :premises (@p82) :args ((or @t68 @t72))) % 0.40/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p75) :args (@t68 @t73 @t74)) % 0.40/0.57 (step @p85 :rule bool-double-not-elim :args (@t70)) % 0.40/0.57 (step @p86 :rule nary_cong :premises (@p79 @p85) :args ((or @t72 (not @t71)))) % 0.40/0.57 (step @p87 :rule cnf_or_neg :args (@t72 0)) % 0.40/0.57 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.40/0.57 (step @p89 :rule reordering :premises (@p88) :args ((or @t70 @t72))) % 0.40/0.57 (step @p90 :rule chain_m_resolution :premises (@p89 @p75) :args (@t70 @t73 @t74)) % 0.40/0.57 (step @p91 :rule cnf_or_pos :args (@t75)) % 0.40/0.57 (step @p92 :rule reordering :premises (@p91) :args ((or @t71 @t69 @t67 @t76))) % 0.40/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p84 @p77) :args (@t76 (@list false false true) (@list @t70 @t68 @t67))) % 0.40/0.57 (assume-push @p100 @t56) % 0.40/0.57 (step @p95 :rule instantiate :premises (@p71) :args ((@list @t66 @t65))) % 0.40/0.57 (step-pop @p101 :rule scope :premises (@p95)) % 0.40/0.57 (step @p96 :rule process_scope :premises (@p101) :args (@t75)) % 0.40/0.57 (step @p98 :rule implies_elim :premises (@p96)) % 0.40/0.57 (step @p99 false :rule chain_m_resolution :premises (@p98 @p93 @p71) :args (false (@list true false) (@list @t75 @t56))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------