%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV888-1 : 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 : n027.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 09:02:33 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWV888-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.20/0.35 % Computer : n027.cluster.edu % 0.20/0.35 % Model : x86_64 x86_64 % 0.20/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.35 % Memory : 8042.1875MB % 0.20/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.35 % CPULimit : 300 % 0.20/0.35 % WCLimit : 300 % 0.20/0.35 % DateTime : Tue Jun 2 21:20:21 EDT 2026 % 0.20/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Unsatisfiable % 0.37/0.59 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.t_a $$unsorted) % 0.37/0.60 (declare-const tptp.c_Com_Obody (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.37/0.60 (declare-const tptp.v_x $$unsorted) % 0.37/0.60 (declare-const tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Com_OWT__bodies Bool) % 0.37/0.60 (declare-const tptp.c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.37/0.60 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.v_xa $$unsorted) % 0.37/0.60 (declare-const tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.v_pn $$unsorted) % 0.37/0.60 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.37/0.60 (define @t1 () (@var "V_x" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "T_a" $$unsorted)) % 0.37/0.60 (define @t3 () (@list @t1 @t2)) % 0.37/0.60 (define @t4 () (@var "V_t" $$unsorted)) % 0.37/0.60 (define @t5 () (@var "V_n" $$unsorted)) % 0.37/0.60 (define @t6 () (@var "V_s" $$unsorted)) % 0.37/0.60 (define @t7 () (= @t4 @t6)) % 0.37/0.60 (define @t8 () (tptp.c_Option_Ooption_ONone @t2)) % 0.37/0.60 (define @t9 () (@var "V_v" $$unsorted)) % 0.37/0.60 (define @t10 () (@var "V_s1" $$unsorted)) % 0.37/0.60 (define @t11 () (@var "V_P" $$unsorted)) % 0.37/0.60 (define @t12 () (tptp.c_Com_Ocom_OBODY @t11)) % 0.37/0.60 (define @t13 () (not (tptp.c_Natural_Oevaln @t12 @t6 @t5 @t10))) % 0.37/0.60 (define @t14 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @t11 @t5 @t6 @t10)) % 0.37/0.60 (define @t15 () (@var "V_c2" $$unsorted)) % 0.37/0.60 (define @t16 () (@var "V_c1" $$unsorted)) % 0.37/0.60 (define @t17 () (tptp.c_Com_Ocom_OSemi @t16 @t15)) % 0.37/0.60 (define @t18 () (not (tptp.c_Natural_Oevalc @t17 @t6 @t4))) % 0.37/0.60 (define @t19 () (tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 @t16 @t15 @t6 @t4)) % 0.37/0.60 (define @t20 () (@var "V_s0" $$unsorted)) % 0.37/0.60 (define @t21 () (@var "V_c0" $$unsorted)) % 0.37/0.60 (define @t22 () (@var "V_s2" $$unsorted)) % 0.37/0.60 (define @t23 () (tptp.c_Com_Ocom_OSemi @t21 @t16)) % 0.37/0.60 (define @t24 () (@var "V_a_H" $$unsorted)) % 0.37/0.60 (define @t25 () (tptp.c_Option_Ooption_OSome @t24 @t2)) % 0.37/0.60 (define @t26 () (@var "V_y" $$unsorted)) % 0.37/0.60 (define @t27 () (@var "V_c" $$unsorted)) % 0.37/0.60 (define @t28 () (tptp.c_Natural_Oevalc @t27 @t6 @t4)) % 0.37/0.60 (define @t29 () (not @t28)) % 0.37/0.60 (define @t30 () (@list @t27 @t6 @t4)) % 0.37/0.60 (define @t31 () (= @t1 @t8)) % 0.37/0.60 (define @t32 () (@var "V_com2_H" $$unsorted)) % 0.37/0.60 (define @t33 () (@var "V_com2" $$unsorted)) % 0.37/0.60 (define @t34 () (@var "V_com1_H" $$unsorted)) % 0.37/0.60 (define @t35 () (tptp.c_Com_Ocom_OSemi @t34 @t32)) % 0.37/0.60 (define @t36 () (@var "V_com1" $$unsorted)) % 0.37/0.60 (define @t37 () (tptp.c_Com_Ocom_OSemi @t36 @t33)) % 0.37/0.60 (define @t38 () (not (= @t37 @t35))) % 0.37/0.60 (define @t39 () (@list @t36 @t33 @t34 @t32)) % 0.37/0.60 (define @t40 () (@var "V_xa" $$unsorted)) % 0.37/0.60 (define @t41 () (@var "V_a" $$unsorted)) % 0.37/0.60 (define @t42 () (@var "V_nat_H" $$unsorted)) % 0.37/0.60 (define @t43 () (@var "V_nat" $$unsorted)) % 0.37/0.60 (define @t44 () (not (tptp.c_Natural_Oevaln @t17 @t6 @t5 @t4))) % 0.37/0.60 (define @t45 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 @t16 @t15 @t5 @t6 @t4)) % 0.37/0.60 (define @t46 () (@var "V_s_H" $$unsorted)) % 0.37/0.60 (define @t47 () (tptp.c_Suc @t5)) % 0.37/0.60 (define @t48 () (not (tptp.c_Com_OWT @t17))) % 0.37/0.60 (define @t49 () (tptp.c_Com_OWT @t16)) % 0.37/0.60 (define @t50 () (@list @t34 @t32)) % 0.37/0.60 (define @t51 () (@var "V_b" $$unsorted)) % 0.37/0.60 (define @t52 () (@var "V_pn" $$unsorted)) % 0.37/0.60 (define @t53 () (tptp.c_Com_Obody @t52)) % 0.37/0.60 (define @t54 () (@list @t5)) % 0.37/0.60 (define @t55 () (tptp.c_Com_Ocom_OBODY @t52)) % 0.37/0.60 (define @t56 () (@var "V_pname_H" $$unsorted)) % 0.37/0.60 (define @t57 () (tptp.c_Com_Ocom_OBODY @t56)) % 0.37/0.60 (define @t58 () (@list @t56)) % 0.37/0.60 (define @t59 () (tptp.c_Option_Othe @t53 tptp.tc_Com_Ocom)) % 0.37/0.60 (define @t60 () (forall (@list @t52 @t20 @t10) (or (tptp.c_Natural_Oevalc @t55 @t20 @t10) (not (tptp.c_Natural_Oevalc @t59 @t20 @t10))))) % 0.37/0.60 (define @t61 () (tptp.c_Com_Obody @t11)) % 0.37/0.60 (define @t62 () (tptp.c_Option_Othe @t61 tptp.tc_Com_Ocom)) % 0.37/0.60 (define @t63 () (@var "V_u" $$unsorted)) % 0.37/0.60 (define @t64 () (@var "V_pname" $$unsorted)) % 0.37/0.60 (define @t65 () (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)) % 0.37/0.60 (define @t66 () (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa)) % 0.37/0.60 (define @t67 () (not @t65)) % 0.37/0.60 (define @t68 () (or @t66 @t67)) % 0.37/0.60 (define @t69 () (not @t68)) % 0.37/0.60 (define @t70 () (@list true false)) % 0.37/0.60 (assume @p1 (forall @t3 (= (tptp.c_Fun_Oid @t1 @t2) @t1))) % 0.37/0.60 (assume @p2 (forall (@list @t4 @t6 @t5) (or @t7 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t6 @t5 @t4))))) % 0.37/0.60 (assume @p3 (forall (@list @t9 @t2) (or (= @t9 (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1 @t9 @t2) @t2)) (= @t9 @t8)))) % 0.37/0.60 (assume @p4 (forall (@list @t5 @t11 @t6 @t10) (or (= @t5 (tptp.c_Suc @t14)) @t13))) % 0.37/0.60 (assume @p5 (forall (@list @t15 @t16 @t6 @t4) (or (tptp.c_Natural_Oevalc @t15 @t19 @t4) @t18))) % 0.37/0.60 (assume @p6 (forall (@list @t16 @t6 @t15 @t4) (or (tptp.c_Natural_Oevalc @t16 @t6 @t19) @t18))) % 0.37/0.60 (assume @p7 (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP)) % 0.37/0.60 (assume @p8 (forall (@list @t21 @t16 @t20 @t5 @t22 @t10) (or (tptp.c_Natural_Oevaln @t23 @t20 @t5 @t22) (not (tptp.c_Natural_Oevaln @t16 @t10 @t5 @t22)) (not (tptp.c_Natural_Oevaln @t21 @t20 @t5 @t10))))) % 0.37/0.60 (assume @p9 (forall (@list @t2 @t24) (not (= @t8 @t25)))) % 0.37/0.60 (assume @p10 (forall (@list @t2 @t26) (not (= @t8 (tptp.c_Option_Ooption_OSome @t26 @t2))))) % 0.37/0.60 (assume @p11 (forall @t30 (or (tptp.c_Natural_Oevaln @t27 @t6 (tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 @t27 @t6 @t4) @t4) @t29))) % 0.37/0.60 (assume @p12 (forall @t3 (or (= @t1 (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1 @t1 @t2) @t2)) @t31))) % 0.37/0.60 (assume @p13 (forall @t39 (or @t38 (= @t33 @t32)))) % 0.37/0.60 (assume @p14 (forall @t39 (or @t38 (= @t36 @t34)))) % 0.37/0.60 (assume @p15 (forall (@list @t24 @t2) (not (= @t25 @t8)))) % 0.37/0.60 (assume @p16 (forall (@list @t40 @t2) (not (= (tptp.c_Option_Ooption_OSome @t40 @t2) @t8)))) % 0.37/0.60 (assume @p17 (forall (@list @t41 @t2 @t24) (or (not (= (tptp.c_Option_Ooption_OSome @t41 @t2) @t25)) (= @t41 @t24)))) % 0.37/0.60 (assume @p18 (forall (@list @t1 @t26) (or (not (= (tptp.c_Suc @t1) (tptp.c_Suc @t26))) (= @t1 @t26)))) % 0.37/0.60 (assume @p19 (forall (@list @t43 @t42) (or (not (= (tptp.c_Suc @t43) (tptp.c_Suc @t42))) (= @t43 @t42)))) % 0.37/0.60 (assume @p20 (forall (@list @t15 @t16 @t5 @t6 @t4) (or (tptp.c_Natural_Oevaln @t15 @t45 @t5 @t4) @t44))) % 0.37/0.60 (assume @p21 (forall (@list @t16 @t6 @t5 @t15 @t4) (or (tptp.c_Natural_Oevaln @t16 @t6 @t5 @t45) @t44))) % 0.37/0.60 (assume @p22 (forall (@list @t27 @t6 @t5 @t46) (or (tptp.c_Natural_Oevaln @t27 @t6 @t47 @t46) (not (tptp.c_Natural_Oevaln @t27 @t6 @t5 @t46))))) % 0.37/0.60 (assume @p23 (forall @t3 (or @t31 (= @t1 (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1 @t1 @t2) @t2))))) % 0.37/0.60 (assume @p24 (forall (@list @t6 @t5) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t6 @t5 @t6))) % 0.37/0.60 (assume @p25 (forall (@list @t15 @t16) (or (tptp.c_Com_OWT @t15) @t48))) % 0.37/0.60 (assume @p26 (forall (@list @t16 @t15) (or @t49 @t48))) % 0.37/0.60 (assume @p27 (forall @t50 (not (= @t35 tptp.c_Com_Ocom_OSKIP)))) % 0.37/0.60 (assume @p28 (forall @t30 (or (tptp.c_Natural_Oevaln @t27 @t6 (tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 @t27 @t6 @t4) @t4) @t29))) % 0.37/0.60 (assume @p29 (forall (@list @t21 @t16) (or (tptp.c_Com_OWT @t23) (not @t49) (not (tptp.c_Com_OWT @t21))))) % 0.37/0.60 (assume @p30 (forall (@list @t52 @t51) (or (not (= @t53 (tptp.c_Option_Ooption_OSome @t51 tptp.tc_Com_Ocom))) (not tptp.c_Com_OWT__bodies) (tptp.c_Com_OWT @t51)))) % 0.37/0.60 (assume @p31 (forall @t54 (not (= @t47 @t5)))) % 0.37/0.60 (assume @p32 (forall @t54 (not (= @t5 @t47)))) % 0.37/0.60 (assume @p33 (forall (@list @t26 @t2) (or (= @t26 (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1 @t26 @t2) @t2)) (= @t26 @t8)))) % 0.37/0.60 (assume @p34 (forall @t50 (not (= tptp.c_Com_Ocom_OSKIP @t35)))) % 0.37/0.60 (assume @p35 (forall @t3 (= (tptp.c_Option_Othe (tptp.c_Option_Ooption_OSome @t1 @t2) @t2) @t1))) % 0.37/0.60 (assume @p36 (forall (@list @t52) (or (tptp.c_Com_OWT @t55) (= @t53 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))))) % 0.37/0.60 (assume @p37 (forall @t58 (not (= @t57 tptp.c_Com_Ocom_OSKIP)))) % 0.37/0.60 (assume @p38 @t60) % 0.37/0.60 (assume @p39 (forall (@list @t11 @t6 @t10) (or (tptp.c_Natural_Oevalc @t62 @t6 @t10) (not (tptp.c_Natural_Oevalc @t12 @t6 @t10))))) % 0.37/0.60 (assume @p40 (forall (@list @t63 @t4 @t27 @t6) (or (= @t63 @t4) (not (tptp.c_Natural_Oevalc @t27 @t6 @t63)) @t29))) % 0.37/0.60 (assume @p41 (forall (@list @t6) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t6 @t6))) % 0.37/0.60 (assume @p42 (= (tptp.c_Fun_Oid tptp.v_x tptp.t_a) tptp.v_x)) % 0.37/0.60 (assume @p43 (forall (@list @t11 @t6 @t5 @t10) (or (tptp.c_Natural_Oevaln @t62 @t6 @t14 @t10) @t13))) % 0.37/0.60 (assume @p44 (forall (@list @t11) (or (= @t61 (tptp.c_Option_Ooption_OSome (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 @t11) tptp.tc_Com_Ocom)) (not (tptp.c_Com_OWT @t12))))) % 0.37/0.60 (assume @p45 (forall (@list @t56 @t36 @t33) (not (= @t57 @t37)))) % 0.37/0.60 (assume @p46 (forall (@list @t36 @t33 @t56) (not (= @t37 @t57)))) % 0.37/0.60 (assume @p47 (forall (@list @t21 @t16 @t20 @t22 @t10) (or (tptp.c_Natural_Oevalc @t23 @t20 @t22) (not (tptp.c_Natural_Oevalc @t16 @t10 @t22)) (not (tptp.c_Natural_Oevalc @t21 @t20 @t10))))) % 0.37/0.60 (assume @p48 (forall (@list @t52 @t20 @t5 @t10) (or (tptp.c_Natural_Oevaln @t55 @t20 @t47 @t10) (not (tptp.c_Natural_Oevaln @t59 @t20 @t5 @t10))))) % 0.37/0.60 (assume @p49 (forall (@list @t64 @t56) (or (not (= (tptp.c_Com_Ocom_OBODY @t64) @t57)) (= @t64 @t56)))) % 0.37/0.60 (assume @p50 (forall @t58 (not (= tptp.c_Com_Ocom_OSKIP @t57)))) % 0.37/0.60 (assume @p51 (forall (@list @t4 @t6) (or @t7 (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t6 @t4))))) % 0.37/0.60 (assume @p52 (forall (@list @t27 @t6 @t4 @t5) (or @t28 (not (tptp.c_Natural_Oevaln @t27 @t6 @t5 @t4))))) % 0.37/0.60 (assume @p53 (forall (@list @t27 @t6 @t4 @t1) (or @t28 (not (tptp.c_Natural_Oevaln @t27 @t6 @t1 @t4))))) % 0.37/0.60 (assume @p54 @t65) % 0.37/0.60 (assume @p55 (not @t66)) % 0.37/0.60 (step @p56 :rule cnf_or_pos :args (@t68)) % 0.37/0.60 (step @p57 :rule reordering :premises (@p56) :args ((or @t66 @t67 @t69))) % 0.37/0.60 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p54) :args (@t69 @t70 (@list @t66 @t65))) % 0.37/0.60 (assume-push @p65 @t60) % 0.37/0.60 (step @p60 :rule instantiate :premises (@p38) :args ((@list tptp.v_pn tptp.v_x tptp.v_xa))) % 0.37/0.60 (step-pop @p66 :rule scope :premises (@p60)) % 0.37/0.60 (step @p61 :rule process_scope :premises (@p66) :args (@t68)) % 0.37/0.60 (step @p63 :rule implies_elim :premises (@p61)) % 0.37/0.60 (step @p64 false :rule chain_m_resolution :premises (@p63 @p58 @p38) :args (false @t70 (@list @t68 @t60))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------