%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS068+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 08:28:51 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : KRS068+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 % 0.16/0.35 % Computer : n026.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 05:27:25 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.55 % SZS status Unsatisfiable % 0.28/0.55 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.i2003_11_14_17_18_23845 $$unsorted) % 0.36/0.56 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t2 () (@list @t1)) % 0.36/0.56 (define @t3 () (tptp.cc @t1)) % 0.36/0.56 (define @t4 () (tptp.cUnsatisfiable @t1)) % 0.36/0.56 (define @t5 () (forall @t2 (=> @t4 @t3))) % 0.36/0.56 (define @t6 () (tptp.cd @t1)) % 0.36/0.56 (define @t7 () (not @t6)) % 0.36/0.56 (define @t8 () (forall @t2 (=> @t4 @t7))) % 0.36/0.56 (define @t9 () (@var "Y" $$unsorted)) % 0.36/0.56 (define @t10 () (tptp.cc @t9)) % 0.36/0.56 (define @t11 () (tptp.rr @t1 @t9)) % 0.36/0.56 (define @t12 () (@list @t9)) % 0.36/0.56 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.36/0.56 (define @t14 () (=> @t3 @t13)) % 0.36/0.56 (define @t15 () (forall @t2 @t14)) % 0.36/0.56 (define @t16 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_18_23845)) % 0.36/0.56 (define @t17 () (=> @t13 @t6)) % 0.36/0.56 (define @t18 () (forall @t2 @t17)) % 0.36/0.56 (define @t19 () (@var "BOUND_VARIABLE_7477" $$unsorted)) % 0.36/0.56 (define @t20 () (tptp.cc @t19)) % 0.36/0.56 (define @t21 () (not (tptp.rr @t1 @t19))) % 0.36/0.56 (define @t22 () (not @t3)) % 0.36/0.56 (define @t23 () (or @t22 @t21 @t20)) % 0.36/0.56 (define @t24 () (or @t21 @t20)) % 0.36/0.56 (define @t25 () (or @t22 @t24)) % 0.36/0.56 (define @t26 () (@list @t1 @t19)) % 0.36/0.56 (define @t27 () (forall @t26 @t25)) % 0.36/0.56 (define @t28 () (@list @t19)) % 0.36/0.56 (define @t29 () (forall @t28 @t25)) % 0.36/0.56 (define @t30 () (forall @t28 @t24)) % 0.36/0.56 (define @t31 () (or @t22 @t30)) % 0.36/0.56 (define @t32 () (forall @t12 (or (not @t11) @t10))) % 0.36/0.56 (define @t33 () (@list tptp.i2003_11_14_17_18_23845)) % 0.36/0.56 (define @t34 () (tptp.cd tptp.i2003_11_14_17_18_23845)) % 0.36/0.56 (define @t35 () (not @t34)) % 0.36/0.56 (define @t36 () (not @t16)) % 0.36/0.56 (define @t37 () (or @t36 @t35)) % 0.36/0.56 (define @t38 () (@list false false)) % 0.36/0.56 (define @t39 () (forall @t12 (or (not (tptp.rr tptp.i2003_11_14_17_18_23845 @t9)) @t10))) % 0.36/0.56 (define @t40 () (not @t39)) % 0.36/0.56 (define @t41 () (or @t40 @t34)) % 0.36/0.56 (define @t42 () (@list true false)) % 0.36/0.56 (define @t43 () (@quantifiers_skolemize @t39 0)) % 0.36/0.56 (define @t44 () (tptp.cc @t43)) % 0.36/0.56 (define @t45 () (tptp.rr tptp.i2003_11_14_17_18_23845 @t43)) % 0.36/0.56 (define @t46 () (not @t45)) % 0.36/0.56 (define @t47 () (or @t46 @t44)) % 0.36/0.56 (define @t48 () (@list true)) % 0.36/0.56 (define @t49 () (@list @t47)) % 0.36/0.56 (define @t50 () (tptp.cc tptp.i2003_11_14_17_18_23845)) % 0.36/0.56 (define @t51 () (or @t36 @t50)) % 0.36/0.56 (define @t52 () (not @t50)) % 0.36/0.56 (define @t53 () (or @t52 @t46 @t44)) % 0.36/0.56 (define @t54 () (not @t53)) % 0.36/0.56 (define @t55 () (forall @t26 @t23)) % 0.36/0.56 (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1))))) % 0.36/0.56 (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.36/0.56 (assume @p3 @t5) % 0.36/0.56 (assume @p4 @t8) % 0.36/0.56 (assume @p5 @t15) % 0.36/0.56 (assume @p6 @t16) % 0.36/0.56 (assume @p7 @t18) % 0.36/0.56 (step @p8 :rule aci_norm :args ((= @t25 @t23))) % 0.36/0.56 (step @p9 :rule cong :premises (@p8) :args (@t27)) % 0.36/0.56 (step @p10 :rule quant-merge-prenex :args ((= (forall @t2 @t29) @t27))) % 0.36/0.56 (step @p11 :rule alpha_equiv :args (@t30 (@list @t19) (@list @t9))) % 0.36/0.56 (step @p12 :rule refl :args (@t22)) % 0.36/0.56 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t31)) % 0.36/0.56 (step @p14 :rule quant-miniscope-or :args ((= @t29 @t31))) % 0.36/0.56 (step @p15 :rule trans :premises (@p14 @p13)) % 0.36/0.56 (step @p16 :rule symm :premises (@p15)) % 0.36/0.56 (step @p17 :rule cong :premises (@p16) :args ((forall @t2 (or @t22 @t32)))) % 0.36/0.56 (step @p18 :rule trans :premises (@p17 @p10)) % 0.36/0.56 (step @p19 :rule trans :premises (@p18 @p9)) % 0.36/0.56 (step @p20 :rule bool-impl-elim :args (@t3 @t32)) % 0.36/0.56 (step @p21 :rule cong :premises (@p20) :args ((forall @t2 (=> @t3 @t32)))) % 0.36/0.56 (step @p22 :rule trans :premises (@p21 @p19)) % 0.36/0.56 (step @p23 :rule bool-impl-elim :args (@t11 @t10)) % 0.36/0.56 (step @p24 :rule cong :premises (@p23) :args (@t13)) % 0.36/0.56 (step @p25 :rule refl :args (@t3)) % 0.36/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args (@t14)) % 0.36/0.56 (step @p27 :rule cong :premises (@p26) :args (@t15)) % 0.36/0.56 (step @p28 :rule trans :premises (@p27 @p22)) % 0.36/0.56 (step @p29 :rule eq_resolve :premises (@p5 @p28)) % 0.36/0.56 (step @p30 :rule bool-impl-elim :args (@t32 @t6)) % 0.36/0.56 (step @p31 :rule cong :premises (@p30) :args ((forall @t2 (=> @t32 @t6)))) % 0.36/0.56 (step @p32 :rule refl :args (@t6)) % 0.36/0.56 (step @p33 :rule cong :premises (@p24 @p32) :args (@t17)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33) :args (@t18)) % 0.36/0.56 (step @p35 :rule trans :premises (@p34 @p31)) % 0.36/0.56 (step @p36 :rule eq_resolve :premises (@p7 @p35)) % 0.36/0.56 (step @p37 :rule instantiate :premises (@p36) :args (@t33)) % 0.36/0.56 (step @p38 :rule bool-impl-elim :args (@t4 @t7)) % 0.36/0.56 (step @p39 :rule cong :premises (@p38) :args (@t8)) % 0.36/0.56 (step @p40 :rule eq_resolve :premises (@p4 @p39)) % 0.36/0.56 (step @p41 :rule instantiate :premises (@p40) :args (@t33)) % 0.36/0.56 (step @p42 :rule cnf_or_pos :args (@t37)) % 0.36/0.56 (step @p43 :rule reordering :premises (@p42) :args ((or @t36 @t35 (not @t37)))) % 0.36/0.56 (step @p44 :rule chain_m_resolution :premises (@p43 @p6 @p41) :args (@t35 @t38 (@list @t16 @t37))) % 0.36/0.56 (step @p45 :rule cnf_or_pos :args (@t41)) % 0.36/0.56 (step @p46 :rule reordering :premises (@p45) :args ((or @t34 @t40 (not @t41)))) % 0.36/0.56 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p37) :args (@t40 @t42 (@list @t34 @t41))) % 0.36/0.56 (step @p48 :rule skolemize :premises (@p47)) % 0.36/0.56 (step @p49 :rule cnf_or_neg :args (@t47 1)) % 0.36/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args ((not @t44) @t48 @t49)) % 0.36/0.56 (step @p51 :rule bool-double-not-elim :args (@t45)) % 0.36/0.56 (step @p52 :rule refl :args (@t47)) % 0.36/0.56 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t47 (not @t46)))) % 0.36/0.56 (step @p54 :rule cnf_or_neg :args (@t47 0)) % 0.36/0.56 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.36/0.56 (step @p56 :rule reordering :premises (@p55) :args ((or @t45 @t47))) % 0.36/0.56 (step @p57 :rule chain_m_resolution :premises (@p56 @p48) :args (@t45 @t48 @t49)) % 0.36/0.56 (step @p58 :rule bool-impl-elim :args (@t4 @t3)) % 0.36/0.56 (step @p59 :rule cong :premises (@p58) :args (@t5)) % 0.36/0.56 (step @p60 :rule eq_resolve :premises (@p3 @p59)) % 0.36/0.56 (step @p61 :rule instantiate :premises (@p60) :args (@t33)) % 0.36/0.56 (step @p62 :rule cnf_or_pos :args (@t51)) % 0.36/0.56 (step @p63 :rule reordering :premises (@p62) :args ((or @t36 @t50 (not @t51)))) % 0.36/0.56 (step @p64 :rule chain_m_resolution :premises (@p63 @p6 @p61) :args (@t50 @t38 (@list @t16 @t51))) % 0.36/0.56 (step @p65 :rule cnf_or_pos :args (@t53)) % 0.36/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t52 @t46 @t44 @t54))) % 0.36/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p57 @p50) :args (@t54 (@list false false true) (@list @t50 @t45 @t44))) % 0.36/0.56 (assume-push @p74 @t55) % 0.36/0.56 (step @p69 :rule instantiate :premises (@p29) :args ((@list tptp.i2003_11_14_17_18_23845 @t43))) % 0.36/0.56 (step-pop @p75 :rule scope :premises (@p69)) % 0.36/0.56 (step @p70 :rule process_scope :premises (@p75) :args (@t53)) % 0.36/0.56 (step @p72 :rule implies_elim :premises (@p70)) % 0.36/0.56 (step @p73 false :rule chain_m_resolution :premises (@p72 @p67 @p29) :args (false @t42 (@list @t53 @t55))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------