%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL808-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:55 AM UTC 2026 % Result : Unsatisfiable 0.19s 0.52s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL808-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n016.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 05:31:29 UTC 2026 % 0.08/0.35 % CPUTime : % 0.12/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.12/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.52 % SZS status Unsatisfiable % 0.19/0.52 % SZS output start Proof % 0.19/0.52 ( % 0.19/0.52 (declare-sort $$unsorted 0) % 0.19/0.52 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.c_Lambda_OdB_OApp (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.v_ua______ $$unsorted) % 0.19/0.52 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.v_n____ $$unsorted) % 0.19/0.52 (declare-const tptp.tc_nat $$unsorted) % 0.19/0.52 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.v_u____ $$unsorted) % 0.19/0.52 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.v_e____ $$unsorted) % 0.19/0.52 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.v_Ua____ $$unsorted) % 0.19/0.52 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.v_i____ $$unsorted) % 0.19/0.52 (declare-const tptp.v_b____ $$unsorted) % 0.19/0.52 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.19/0.52 (declare-const tptp.v_T____ $$unsorted) % 0.19/0.52 (define @t1 () (@var "T_a" $$unsorted)) % 0.19/0.52 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.19/0.52 (define @t3 () (@var "V_m" $$unsorted)) % 0.19/0.52 (define @t4 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t3 @t1)) % 0.19/0.52 (define @t5 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.19/0.52 (define @t6 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.19/0.52 (define @t7 () (@var "V_n" $$unsorted)) % 0.19/0.52 (define @t8 () (= @t3 @t7)) % 0.19/0.52 (define @t9 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t7 @t1)) % 0.19/0.52 (define @t10 () (@list @t1 @t3 @t7)) % 0.19/0.52 (define @t11 () (tptp.c_HOL_Oord__class_Oless @t3 @t7 tptp.tc_nat)) % 0.19/0.52 (define @t12 () (tptp.c_HOL_Oord__class_Oless @t4 @t9 @t1)) % 0.19/0.52 (define @t13 () (@var "V_b" $$unsorted)) % 0.19/0.52 (define @t14 () (@var "V_a" $$unsorted)) % 0.19/0.52 (define @t15 () (not (tptp.c_HOL_Oord__class_Oless @t14 @t13 @t1))) % 0.19/0.52 (define @t16 () (not (tptp.c_HOL_Oord__class_Oless @t13 @t14 @t1))) % 0.19/0.52 (define @t17 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.19/0.52 (define @t18 () (@var "V_y" $$unsorted)) % 0.19/0.52 (define @t19 () (@var "V_x" $$unsorted)) % 0.19/0.52 (define @t20 () (tptp.c_HOL_Oord__class_Oless @t19 @t18 @t1)) % 0.19/0.52 (define @t21 () (not @t20)) % 0.19/0.52 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t18 @t19 @t1)) % 0.19/0.52 (define @t23 () (not @t22)) % 0.19/0.52 (define @t24 () (@list @t1 @t18 @t19)) % 0.19/0.52 (define @t25 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.19/0.52 (define @t26 () (@list @t1 @t19 @t18)) % 0.19/0.52 (define @t27 () (not (tptp.class_Orderings_Oorder @t1))) % 0.19/0.52 (define @t28 () (tptp.c_HOL_Oord__class_Oless @t6 @t7 tptp.tc_nat)) % 0.19/0.52 (define @t29 () (@list @t7)) % 0.19/0.52 (define @t30 () (tptp.c_HOL_Oord__class_Oless @t2 @t9 @t1)) % 0.19/0.52 (define @t31 () (@list @t1 @t7)) % 0.19/0.52 (define @t32 () (= @t19 @t18)) % 0.19/0.52 (define @t33 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t19 @t1))) % 0.19/0.52 (define @t34 () (@list @t1 @t19)) % 0.19/0.52 (define @t35 () (tptp.c_HOL_Oord__class_Oless @t19 @t19 tptp.tc_nat)) % 0.19/0.52 (define @t36 () (@var "V_z" $$unsorted)) % 0.19/0.52 (define @t37 () (@var "V_nat" $$unsorted)) % 0.19/0.52 (define @t38 () (tptp.c_Lambda_OdB_OVar @t37)) % 0.19/0.52 (define @t39 () (@var "V_dB2_H" $$unsorted)) % 0.19/0.52 (define @t40 () (@var "V_dB1_H" $$unsorted)) % 0.19/0.52 (define @t41 () (tptp.c_Lambda_OdB_OApp @t40 @t39)) % 0.19/0.52 (define @t42 () (@var "V_t" $$unsorted)) % 0.19/0.52 (define @t43 () (@var "V_s" $$unsorted)) % 0.19/0.52 (define @t44 () (not (tptp.c_Lambda_Obeta @t43 @t42))) % 0.19/0.52 (define @t45 () (tptp.c_Lambda_OdB_OAbs @t43)) % 0.19/0.52 (define @t46 () (@list @t43 @t42)) % 0.19/0.52 (define @t47 () (@var "V_r" $$unsorted)) % 0.19/0.52 (define @t48 () (tptp.c_Lambda_OdB_OAbs @t47)) % 0.19/0.52 (define @t49 () (not (tptp.c_Lambda_Obeta @t48 @t43))) % 0.19/0.52 (define @t50 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 @t47 @t43)) % 0.19/0.52 (define @t51 () (not (tptp.c_InductTermi_OIT @t42))) % 0.19/0.52 (define @t52 () (@var "V_i" $$unsorted)) % 0.19/0.52 (define @t53 () (tptp.c_Lambda_OdB_OVar @t52)) % 0.19/0.52 (define @t54 () (@list @t42 @t52)) % 0.19/0.52 (define @t55 () (not (tptp.c_Lambda_Obeta @t47 @t43))) % 0.19/0.52 (define @t56 () (@var "V_k" $$unsorted)) % 0.19/0.52 (define @t57 () (@var "V_u" $$unsorted)) % 0.19/0.52 (define @t58 () (tptp.c_Lambda_OdB_OApp @t42 @t57)) % 0.19/0.52 (define @t59 () (tptp.c_Lambda_Olift @t42 @t56)) % 0.19/0.52 (define @t60 () (@var "V_dB_H" $$unsorted)) % 0.19/0.52 (define @t61 () (tptp.c_Lambda_OdB_OAbs @t60)) % 0.19/0.52 (define @t62 () (@var "V_dB" $$unsorted)) % 0.19/0.52 (define @t63 () (@var "V_dB2" $$unsorted)) % 0.19/0.52 (define @t64 () (@var "V_dB1" $$unsorted)) % 0.19/0.52 (define @t65 () (tptp.c_Lambda_OdB_OApp @t64 @t63)) % 0.19/0.52 (define @t66 () (not (= @t65 @t41))) % 0.19/0.52 (define @t67 () (@list @t64 @t63 @t40 @t39)) % 0.19/0.52 (define @t68 () (@var "V_j" $$unsorted)) % 0.19/0.52 (define @t69 () (tptp.c_Lambda_OdB_OVar @t68)) % 0.19/0.52 (define @t70 () (@var "V_nat_H" $$unsorted)) % 0.19/0.52 (define @t71 () (not (tptp.c_InductTermi_OIT @t47))) % 0.19/0.52 (define @t72 () (tptp.c_InductTermi_OIT tptp.v_u____)) % 0.19/0.52 (define @t73 () (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_b____ tptp.v_Ua____)) % 0.19/0.52 (define @t74 () (@var "V_T_H" $$unsorted)) % 0.19/0.52 (define @t75 () (@var "V_ia" $$unsorted)) % 0.19/0.52 (define @t76 () (@var "V_ea" $$unsorted)) % 0.19/0.52 (define @t77 () (@var "V_ua" $$unsorted)) % 0.19/0.52 (define @t78 () (forall (@list @t77 @t75 @t76 @t74) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_b____ @t77 @t75)) (not (tptp.c_Type_Otyping @t76 @t77 tptp.v_T____)) (not (tptp.c_InductTermi_OIT @t77)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t76 @t75 tptp.v_T____ tptp.tc_Type_Otype) tptp.v_b____ @t74))))) % 0.19/0.52 (define @t79 () (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.19/0.52 (define @t80 () (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_b____ tptp.v_u____ tptp.v_i____))) % 0.19/0.52 (define @t81 () (not @t73)) % 0.19/0.52 (define @t82 () (not @t72)) % 0.19/0.52 (define @t83 () (not @t79)) % 0.19/0.52 (define @t84 () (or @t80 @t83 @t82 @t81)) % 0.19/0.52 (define @t85 () (not @t84)) % 0.19/0.52 (assume @p1 (forall (@list @t1 @t3) (or @t5 (not (tptp.c_HOL_Oord__class_Oless @t4 @t2 @t1))))) % 0.19/0.52 (assume @p2 (forall (@list @t1) (or (not (tptp.class_Ring__and__Field_Osemiring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t6 @t1) @t2)))) % 0.19/0.52 (assume @p3 (forall @t10 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t4 @t9)) @t8))) % 0.19/0.52 (assume @p4 (forall @t10 (or @t5 @t12 (not @t11)))) % 0.19/0.52 (assume @p5 (forall @t10 (or @t5 @t11 (not @t12)))) % 0.19/0.52 (assume @p6 (forall (@list @t1 @t13 @t14) (or @t17 @t16 @t15))) % 0.19/0.52 (assume @p7 (forall @t24 (or @t17 @t23 @t21))) % 0.19/0.52 (assume @p8 (forall @t26 (or @t25 @t21 @t23))) % 0.19/0.52 (assume @p9 (forall (@list @t1 @t14 @t13) (or @t27 @t15 @t16))) % 0.19/0.52 (assume @p10 (not (tptp.c_HOL_Oord__class_Oless @t6 @t6 tptp.tc_nat))) % 0.19/0.53 (assume @p11 (forall @t29 (or @t28 (= @t7 @t6)))) % 0.19/0.53 (assume @p12 (forall @t31 (or @t5 @t28 (not @t30)))) % 0.19/0.53 (assume @p13 (forall @t31 (or @t5 @t30 (not @t28)))) % 0.19/0.53 (assume @p14 (forall @t26 (or @t25 @t32 @t20 @t22))) % 0.19/0.53 (assume @p15 (forall @t24 (or @t25 @t22 @t32 @t20))) % 0.19/0.53 (assume @p16 (forall @t24 (or @t25 @t22 @t20 @t32))) % 0.19/0.53 (assume @p17 (forall (@list @t18 @t19) (or (tptp.c_HOL_Oord__class_Oless @t18 @t19 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t19 @t18 tptp.tc_nat) @t32))) % 0.19/0.53 (assume @p18 (forall (@list @t7 @t3) (or (tptp.c_HOL_Oord__class_Oless @t7 @t3 tptp.tc_nat) @t11 @t8))) % 0.19/0.53 (assume @p19 (forall @t26 (or @t25 @t32 @t22 @t20))) % 0.19/0.53 (assume @p20 (forall @t24 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t22 @t20 @t32))) % 0.19/0.53 (assume @p21 (forall @t34 (or @t17 @t33))) % 0.19/0.53 (assume @p22 (forall @t34 (or @t25 @t33))) % 0.19/0.53 (assume @p23 (forall @t34 (or @t27 @t33))) % 0.19/0.53 (assume @p24 (forall @t29 (not (tptp.c_HOL_Oord__class_Oless @t7 @t7 tptp.tc_nat)))) % 0.19/0.53 (assume @p25 (forall (@list @t19) (not @t35))) % 0.19/0.53 (assume @p26 (forall (@list @t1 @t19 @t36 @t18) (or @t17 (tptp.c_HOL_Oord__class_Oless @t19 @t36 @t1) (not (tptp.c_HOL_Oord__class_Oless @t18 @t36 @t1)) @t21))) % 0.19/0.53 (assume @p27 (forall (@list @t1 @t36 @t19 @t18) (or @t27 (tptp.c_HOL_Oord__class_Oless @t36 @t19 @t1) (not (tptp.c_HOL_Oord__class_Oless @t36 @t18 @t1)) @t23))) % 0.19/0.53 (assume @p28 (forall (@list @t3) (not (tptp.c_HOL_Oord__class_Oless @t3 @t6 tptp.tc_nat)))) % 0.19/0.53 (assume @p29 (forall @t29 (not (tptp.c_HOL_Oord__class_Oless @t7 @t6 tptp.tc_nat)))) % 0.19/0.53 (assume @p30 (forall (@list @t40 @t39 @t37) (not (= @t41 @t38)))) % 0.19/0.53 (assume @p31 (forall @t46 (or (tptp.c_Lambda_Obeta @t45 (tptp.c_Lambda_OdB_OAbs @t42)) @t44))) % 0.19/0.53 (assume @p32 (forall (@list @t43 @t47) (or (= @t43 (tptp.c_Lambda_OdB_OAbs @t50)) @t49))) % 0.19/0.53 (assume @p33 (forall @t54 (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OApp @t42 @t53)) @t51))) % 0.19/0.53 (assume @p34 (forall (@list @t47 @t52 @t43) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t47 @t52) (tptp.c_Lambda_Olift @t43 @t52)) @t55))) % 0.19/0.53 (assume @p35 (forall (@list @t52 @t56) (or (= (tptp.c_Lambda_Olift @t53 @t56) @t53) (not (tptp.c_HOL_Oord__class_Oless @t52 @t56 tptp.tc_nat))))) % 0.19/0.53 (assume @p36 (forall (@list @t43 @t57 @t42) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t43 @t57) @t58) @t44))) % 0.19/0.53 (assume @p37 (forall (@list @t57 @t43 @t42) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t57 @t43) (tptp.c_Lambda_OdB_OApp @t57 @t42)) @t44))) % 0.19/0.53 (assume @p38 (forall (@list @t19 @t43) (or @t35 (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t19) @t43 @t19) @t43)))) % 0.19/0.53 (assume @p39 (forall (@list @t52 @t43 @t56) (or (= (tptp.c_Lambda_Osubst @t53 @t43 @t56) @t53) (= @t52 @t56) (tptp.c_HOL_Oord__class_Oless @t56 @t52 tptp.tc_nat)))) % 0.19/0.53 (assume @p40 (forall (@list @t43 @t42 @t56) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OApp @t43 @t42) @t56) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t43 @t56) @t59)))) % 0.19/0.53 (assume @p41 (forall (@list @t37 @t60) (not (= @t38 @t61)))) % 0.19/0.53 (assume @p42 (forall (@list @t62 @t60) (or (not (= (tptp.c_Lambda_OdB_OAbs @t62) @t61)) (= @t62 @t60)))) % 0.19/0.53 (assume @p43 (forall (@list @t37 @t40 @t39) (not (= @t38 @t41)))) % 0.19/0.53 (assume @p44 (forall @t46 (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t45 @t42) (tptp.c_Lambda_Osubst @t43 @t42 @t6)))) % 0.19/0.53 (assume @p45 (forall @t67 (or @t66 (= @t63 @t39)))) % 0.19/0.53 (assume @p46 (forall @t67 (or @t66 (= @t64 @t40)))) % 0.19/0.53 (assume @p47 (forall (@list @t52 @t42) (not (tptp.c_Lambda_Obeta @t53 @t42)))) % 0.19/0.53 (assume @p48 (forall (@list @t47 @t43) (or (tptp.c_Lambda_Obeta @t47 @t50) @t49))) % 0.19/0.53 (assume @p49 (forall (@list @t68 @t57 @t52) (or (= (tptp.c_Lambda_Osubst @t69 @t57 @t52) @t69) (not (tptp.c_HOL_Oord__class_Oless @t68 @t52 tptp.tc_nat))))) % 0.19/0.53 (assume @p50 (forall (@list @t60 @t64 @t63) (not (= @t61 @t65)))) % 0.19/0.53 (assume @p51 (forall (@list @t37 @t70) (or (not (= @t38 (tptp.c_Lambda_OdB_OVar @t70))) (= @t37 @t70)))) % 0.19/0.53 (assume @p52 (forall (@list @t64 @t63 @t60) (not (= @t65 @t61)))) % 0.19/0.53 (assume @p53 (forall (@list @t60 @t37) (not (= @t61 @t38)))) % 0.19/0.53 (assume @p54 (forall (@list @t42 @t57 @t43 @t56) (= (tptp.c_Lambda_Osubst @t58 @t43 @t56) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t42 @t43 @t56) (tptp.c_Lambda_Osubst @t57 @t43 @t56))))) % 0.19/0.53 (assume @p55 (forall (@list @t56 @t57) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t56) @t57 @t56) @t57))) % 0.19/0.53 (assume @p56 (forall (@list @t47 @t52 @t68) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t47 @t53 @t68)) @t71))) % 0.19/0.53 (assume @p57 (forall @t54 (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift @t42 @t52)) @t51))) % 0.19/0.53 (assume @p58 (= tptp.v_n____ tptp.v_i____)) % 0.19/0.53 (assume @p59 (forall @t29 (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OVar @t7)))) % 0.19/0.53 (assume @p60 (forall (@list @t47 @t42 @t52 @t43) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t47 @t42 @t52) (tptp.c_Lambda_Osubst @t43 @t42 @t52)) @t55))) % 0.19/0.53 (assume @p61 (tptp.c_InductTermi_OIT tptp.v_ua______)) % 0.19/0.53 (assume @p62 (forall (@list @t47) (or (tptp.c_InductTermi_OIT @t48) @t71))) % 0.19/0.53 (assume @p63 @t72) % 0.19/0.53 (assume @p64 (forall (@list @t42 @t56 @t43) (= (tptp.c_Lambda_Osubst @t59 @t43 @t56) @t42))) % 0.19/0.53 (assume @p65 @t73) % 0.19/0.53 (assume @p66 @t78) % 0.19/0.53 (assume @p67 @t79) % 0.19/0.53 (assume @p68 (not @t80)) % 0.19/0.53 (assume @p69 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.19/0.53 (assume @p70 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.19/0.53 (assume @p71 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.19/0.53 (assume @p72 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.19/0.53 (assume @p73 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.19/0.53 (assume @p74 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.19/0.53 (step @p75 :rule cnf_or_pos :args (@t84)) % 0.19/0.53 (step @p76 :rule reordering :premises (@p75) :args ((or @t80 @t82 @t81 @t83 @t85))) % 0.19/0.53 (step @p77 :rule chain_m_resolution :premises (@p76 @p68 @p63 @p65 @p67) :args (@t85 (@list true false false false) (@list @t80 @t72 @t73 @t79))) % 0.19/0.53 (assume-push @p84 @t78) % 0.19/0.53 (step @p79 :rule instantiate :premises (@p66) :args ((@list tptp.v_u____ tptp.v_i____ tptp.v_e____ tptp.v_Ua____))) % 0.19/0.53 (step-pop @p85 :rule scope :premises (@p79)) % 0.19/0.53 (step @p80 :rule process_scope :premises (@p85) :args (@t84)) % 0.19/0.53 (step @p82 :rule implies_elim :premises (@p80)) % 0.19/0.53 (step @p83 false :rule chain_m_resolution :premises (@p82 @p77 @p66) :args (false (@list true false) (@list @t84 @t78))) % 0.19/0.53 ) % 0.19/0.53 % SZS output end Proof % 0.19/0.53 % cvc5 exiting %------------------------------------------------------------------------------