%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV866-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 09:02:31 AM UTC 2026 % Result : Unsatisfiable 15.32s 15.56s % Output : Proof 15.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV866-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : Tue Jun 2 21:18:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.53 --- Run --no-e-matching --full-saturate-quant at 6... % 15.32/15.56 % SZS status Unsatisfiable % 15.32/15.56 % SZS output start Proof % 15.32/15.56 ( % 15.32/15.56 (declare-sort $$unsorted 0) % 15.32/15.56 (declare-const tptp.v_Z $$unsorted) % 15.32/15.56 (declare-const tptp.v_s_H $$unsorted) % 15.32/15.56 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 $$unsorted) % 15.32/15.56 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 $$unsorted) % 15.32/15.56 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 15.32/15.56 (declare-const tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 (-> $$unsorted $$unsorted)) % 15.32/15.56 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 15.32/15.56 (declare-const tptp.v_c $$unsorted) % 15.32/15.56 (declare-const tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.32/15.56 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 15.32/15.56 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 $$unsorted) % 15.32/15.56 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 $$unsorted) % 15.32/15.56 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.32/15.56 (declare-const tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.32/15.56 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.32/15.56 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 15.32/15.56 (declare-const tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.32/15.56 (define @t1 () (@var "V_t" $$unsorted)) % 15.32/15.56 (define @t2 () (@var "V_n" $$unsorted)) % 15.32/15.56 (define @t3 () (@var "V_s" $$unsorted)) % 15.32/15.56 (define @t4 () (= @t1 @t3)) % 15.32/15.56 (define @t5 () (@var "V_c2" $$unsorted)) % 15.32/15.56 (define @t6 () (@var "V_c1" $$unsorted)) % 15.32/15.56 (define @t7 () (tptp.c_Com_Ocom_OSemi @t6 @t5)) % 15.32/15.56 (define @t8 () (not (tptp.c_Natural_Oevalc @t7 @t3 @t1))) % 15.32/15.56 (define @t9 () (tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 @t6 @t5 @t3 @t1)) % 15.32/15.56 (define @t10 () (@var "V_s1" $$unsorted)) % 15.32/15.56 (define @t11 () (@var "V_s0" $$unsorted)) % 15.32/15.56 (define @t12 () (@var "V_c0" $$unsorted)) % 15.32/15.56 (define @t13 () (@var "V_s2" $$unsorted)) % 15.32/15.56 (define @t14 () (tptp.c_Com_Ocom_OSemi @t12 @t6)) % 15.32/15.56 (define @t15 () (@var "V_c" $$unsorted)) % 15.32/15.56 (define @t16 () (tptp.c_Natural_Oevalc @t15 @t3 @t1)) % 15.32/15.56 (define @t17 () (not @t16)) % 15.32/15.56 (define @t18 () (@list @t15 @t3 @t1)) % 15.32/15.56 (define @t19 () (@var "V_com2_H" $$unsorted)) % 15.32/15.56 (define @t20 () (@var "V_com2" $$unsorted)) % 15.32/15.56 (define @t21 () (@var "V_com1_H" $$unsorted)) % 15.32/15.56 (define @t22 () (tptp.c_Com_Ocom_OSemi @t21 @t19)) % 15.32/15.56 (define @t23 () (@var "V_com1" $$unsorted)) % 15.32/15.56 (define @t24 () (not (= (tptp.c_Com_Ocom_OSemi @t23 @t20) @t22))) % 15.32/15.56 (define @t25 () (@list @t23 @t20 @t21 @t19)) % 15.32/15.56 (define @t26 () (not (tptp.c_Natural_Oevaln @t7 @t3 @t2 @t1))) % 15.32/15.56 (define @t27 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 @t6 @t5 @t2 @t3 @t1)) % 15.32/15.56 (define @t28 () (@list @t21 @t19)) % 15.32/15.56 (define @t29 () (@var "V_u" $$unsorted)) % 15.32/15.56 (define @t30 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 15.32/15.56 (define @t31 () (not (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2))) % 15.32/15.56 (define @t32 () (or @t31 @t30)) % 15.32/15.56 (define @t33 () (@var "V_xa" $$unsorted)) % 15.32/15.56 (define @t34 () (@var "V_x" $$unsorted)) % 15.32/15.56 (define @t35 () (@var "V_Z_H" $$unsorted)) % 15.32/15.56 (define @t36 () (@list @t35)) % 15.32/15.56 (define @t37 () (forall @t36 (= @t35 tptp.v_s_H))) % 15.32/15.56 (define @t38 () (forall @t36 (= tptp.v_s_H @t35))) % 15.32/15.56 (define @t39 () (= tptp.v_s_H tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) % 15.32/15.56 (define @t40 () (not (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))) % 15.32/15.56 (define @t41 () (not true)) % 15.32/15.56 (assume @p1 (forall (@list @t1 @t3 @t2) (or @t4 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t3 @t2 @t1))))) % 15.32/15.56 (assume @p2 (forall (@list @t5 @t6 @t3 @t1) (or (tptp.c_Natural_Oevalc @t5 @t9 @t1) @t8))) % 15.32/15.56 (assume @p3 (forall (@list @t6 @t3 @t5 @t1) (or (tptp.c_Natural_Oevalc @t6 @t3 @t9) @t8))) % 15.32/15.56 (assume @p4 (forall (@list @t12 @t6 @t11 @t2 @t13 @t10) (or (tptp.c_Natural_Oevaln @t14 @t11 @t2 @t13) (not (tptp.c_Natural_Oevaln @t6 @t10 @t2 @t13)) (not (tptp.c_Natural_Oevaln @t12 @t11 @t2 @t10))))) % 15.32/15.56 (assume @p5 (forall @t18 (or (tptp.c_Natural_Oevaln @t15 @t3 (tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 @t15 @t3 @t1) @t1) @t17))) % 15.32/15.56 (assume @p6 (forall @t25 (or @t24 (= @t20 @t19)))) % 15.32/15.56 (assume @p7 (forall @t25 (or @t24 (= @t23 @t21)))) % 15.32/15.56 (assume @p8 (forall (@list @t5 @t6 @t2 @t3 @t1) (or (tptp.c_Natural_Oevaln @t5 @t27 @t2 @t1) @t26))) % 15.32/15.56 (assume @p9 (forall (@list @t6 @t3 @t2 @t5 @t1) (or (tptp.c_Natural_Oevaln @t6 @t3 @t2 @t27) @t26))) % 15.32/15.56 (assume @p10 (forall (@list @t3 @t2) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t3 @t2 @t3))) % 15.32/15.56 (assume @p11 (forall @t28 (not (= @t22 tptp.c_Com_Ocom_OSKIP)))) % 15.32/15.56 (assume @p12 (forall @t18 (or (tptp.c_Natural_Oevaln @t15 @t3 (tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 @t15 @t3 @t1) @t1) @t17))) % 15.32/15.56 (assume @p13 (forall @t28 (not (= tptp.c_Com_Ocom_OSKIP @t22)))) % 15.32/15.56 (assume @p14 (forall (@list @t29 @t1 @t15 @t3) (or (= @t29 @t1) (not (tptp.c_Natural_Oevalc @t15 @t3 @t29)) @t17))) % 15.32/15.56 (assume @p15 (forall (@list @t3) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t3 @t3))) % 15.32/15.56 (assume @p16 @t32) % 15.32/15.56 (assume @p17 (forall (@list @t34 @t33) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton (= @t34 @t33)))) % 15.32/15.56 (assume @p18 (forall (@list @t1) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @t1) @t1)) @t30))) % 15.32/15.56 (assume @p19 (forall (@list @t12 @t6 @t11 @t13 @t10) (or (tptp.c_Natural_Oevalc @t14 @t11 @t13) (not (tptp.c_Natural_Oevalc @t6 @t10 @t13)) (not (tptp.c_Natural_Oevalc @t12 @t11 @t10))))) % 15.32/15.56 (assume @p20 (or (not (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2)) @t30)) % 15.32/15.56 (assume @p21 (forall (@list @t1 @t3) (or @t4 (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t3 @t1))))) % 15.32/15.56 (assume @p22 (forall (@list @t15 @t3 @t1 @t2) (or @t16 (not (tptp.c_Natural_Oevaln @t15 @t3 @t2 @t1))))) % 15.32/15.56 (assume @p23 (forall (@list @t15 @t3 @t1 @t34) (or @t16 (not (tptp.c_Natural_Oevaln @t15 @t3 @t34 @t1))))) % 15.32/15.56 (assume @p24 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 15.32/15.56 (assume @p25 @t37) % 15.32/15.56 (assume @p26 (forall (@list @t34) (not (tptp.c_Natural_Oevalc tptp.v_c tptp.v_Z @t34)))) % 15.32/15.56 (step @p27 :rule evaluate :args ((= false true))) % 15.32/15.56 (step @p28 :rule eq-symm :args (@t35 tptp.v_s_H)) % 15.32/15.56 (step @p29 :rule cong :premises (@p28) :args (@t37)) % 15.32/15.56 (step @p30 :rule eq_resolve :premises (@p25 @p29)) % 15.32/15.56 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))) % 15.32/15.56 (step @p32 :rule eq-symm :args (tptp.v_s_H tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) % 15.32/15.56 (step @p33 :rule refl :args (@t38)) % 15.32/15.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t38 @t39))) % 15.32/15.56 (assume-push @p65 @t38) % 15.32/15.56 (step @p36 :rule instantiate :premises (@p30) :args ((@list tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2))) % 15.32/15.56 (step-pop @p66 :rule scope :premises (@p36)) % 15.32/15.56 (step @p37 :rule process_scope :premises (@p66) :args (@t39)) % 15.32/15.56 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 15.32/15.56 (step @p40 :rule implies_elim :premises (@p39)) % 15.32/15.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p30) :args ((= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_s_H) (@list false) (@list @t38))) % 15.32/15.56 (step @p42 :rule trans :premises (@p41 @p31)) % 15.32/15.56 (step @p43 :rule true_intro :premises (@p42)) % 15.32/15.56 (step @p44 :rule aci_norm :args ((= (or @t40 false) @t40))) % 15.32/15.56 (step @p45 :rule evaluate :args (@t41)) % 15.32/15.56 (step @p46 :rule refl :args (@t40)) % 15.32/15.56 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t40 @t41))) % 15.32/15.56 (step @p48 :rule trans :premises (@p47 @p44)) % 15.32/15.56 (step @p49 :rule bool-eq-true :args (tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 15.32/15.56 (step @p50 :rule symm :premises (@p49)) % 15.32/15.56 (step @p51 :rule eq_resolve :premises (@p24 @p50)) % 15.32/15.56 (step @p52 :rule cong :premises (@p51) :args (@t30)) % 15.32/15.56 (step @p53 :rule nary_cong :premises (@p46 @p52) :args ((or @t40 @t30))) % 15.32/15.56 (step @p54 :rule trans :premises (@p53 @p48)) % 15.32/15.56 (step @p55 :rule refl :args (@t30)) % 15.32/15.56 (step @p56 :rule eq-symm :args (tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) % 15.32/15.56 (step @p57 :rule cong :premises (@p56) :args (@t31)) % 15.32/15.56 (step @p58 :rule nary_cong :premises (@p57 @p55) :args (@t32)) % 15.32/15.56 (step @p59 :rule trans :premises (@p58 @p54)) % 15.32/15.56 (step @p60 :rule eq_resolve :premises (@p16 @p59)) % 15.32/15.56 (step @p61 :rule false_intro :premises (@p60)) % 15.32/15.56 (step @p62 :rule symm :premises (@p61)) % 15.32/15.56 (step @p63 :rule trans :premises (@p62 @p43)) % 15.32/15.56 (step @p64 false :rule eq_resolve :premises (@p63 @p27)) % 15.32/15.56 ) % 15.32/15.56 % SZS output end Proof % 15.32/15.56 % cvc5 exiting %------------------------------------------------------------------------------