TSTP Solution File: SEU413+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 : Thu Aug 31 16:31:30 EDT 2023
% Result : Theorem 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 18:52:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.58 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.72CZYpelcq/cvc5---1.0.5_13638.p...
% 0.21/0.58 ------- get file name : TPTP file name is SEU413+1
% 0.21/0.58 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13638.smt2...
% 0.21/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58 % SZS status Theorem for SEU413+1
% 0.21/0.58 % SZS output start Proof for SEU413+1
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (=> (and (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2)) (tptp.r2_hidden (tptp.k4_tarski C D) (tptp.u1_orders_2 (tptp.k1_latsum_1 A B))) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden C _let_1)))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_orders_2 A B C) (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.u1_orders_2 A))))))))))) (let ((_let_4 (not (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.l1_orders_2 B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k1_latsum_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_latsum_1 A B))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.k3_xboole_0 _let_1 _let_3))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_2)) (=> (and (tptp.v12_waybel_0 _let_4 B) (tptp.m1_subset_1 _let_4 (tptp.k1_zfmisc_1 _let_3)) (tptp.r1_orders_2 _let_2 C D) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden C _let_1))))))))))))))))) (let ((_let_5 (forall ((A $$unsorted) (BOUND_VARIABLE_1206 $$unsorted) (BOUND_VARIABLE_1204 $$unsorted) (BOUND_VARIABLE_1202 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_1202))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1202)) (not (tptp.v12_waybel_0 _let_3 BOUND_VARIABLE_1202)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.r2_hidden (tptp.k4_tarski BOUND_VARIABLE_1206 BOUND_VARIABLE_1204) (tptp.u1_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1202)))) (not (tptp.r2_hidden BOUND_VARIABLE_1204 _let_1)) (tptp.r2_hidden BOUND_VARIABLE_1206 _let_1)))))))) (let ((_let_6 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_6))) (let ((_let_8 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.k1_latsum_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.r2_hidden (tptp.k4_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.u1_orders_2 _let_10)))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (tptp.k3_xboole_0 _let_6 _let_13))) (let ((_let_15 (tptp.m1_subset_1 _let_14 (tptp.k1_zfmisc_1 _let_13)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.v12_waybel_0 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_18 _let_16 _let_12 _let_9 _let_7))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (tptp.r1_orders_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_27 (= _let_26 _let_11))) (let ((_let_28 (tptp.u1_struct_0 _let_10))) (let ((_let_29 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_28))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.l1_orders_2 _let_10))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_30 _let_27))) (let ((_let_36 (forall ((A $$unsorted) (BOUND_VARIABLE_1058 $$unsorted) (BOUND_VARIABLE_1056 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.l1_orders_2 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1056 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1058 _let_1)) (= (tptp.r1_orders_2 A BOUND_VARIABLE_1056 BOUND_VARIABLE_1058) (tptp.r2_hidden (tptp.k4_tarski BOUND_VARIABLE_1056 BOUND_VARIABLE_1058) (tptp.u1_orders_2 A)))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (and (tptp.v1_orders_2 _let_10) _let_33))) (let ((_let_39 (or _let_22 _let_20 _let_38))) (let ((_let_40 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_latsum_1 A B))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 B)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (not _let_26))) (let ((_let_43 (or _let_22 _let_20 _let_18 _let_16 _let_32 _let_7 _let_30 _let_42 _let_9))) (let ((_let_44 (forall ((A $$unsorted) (BOUND_VARIABLE_985 $$unsorted) (BOUND_VARIABLE_983 $$unsorted) (BOUND_VARIABLE_981 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_981))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.u1_struct_0 BOUND_VARIABLE_981))) (let ((_let_5 (tptp.k3_xboole_0 _let_1 _let_4))) (or (not (tptp.l1_orders_2 A)) (not (tptp.l1_orders_2 BOUND_VARIABLE_981)) (not (tptp.v12_waybel_0 _let_5 BOUND_VARIABLE_981)) (not (tptp.m1_subset_1 _let_5 (tptp.k1_zfmisc_1 _let_4))) (not (tptp.m1_subset_1 BOUND_VARIABLE_985 _let_3)) (tptp.r2_hidden BOUND_VARIABLE_985 _let_1) (not (tptp.m1_subset_1 BOUND_VARIABLE_983 _let_3)) (not (tptp.r1_orders_2 _let_2 BOUND_VARIABLE_985 BOUND_VARIABLE_983)) (not (tptp.r2_hidden BOUND_VARIABLE_983 _let_1))))))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (not _let_44))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args (_let_48))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_44))) (REFL :args (_let_45)) :args _let_47)) _let_46 :args (_let_45 true _let_44)))) (let ((_let_50 (REFL :args (_let_43)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_47)) :args ((or _let_19 _let_43))) _let_49 :args (_let_19 true _let_43)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_47)) :args ((or _let_21 _let_43))) _let_49 :args (_let_21 true _let_43)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r2_hidden (tptp.k4_tarski BOUND_VARIABLE_1206 BOUND_VARIABLE_1204) (tptp.u1_orders_2 (tptp.k1_latsum_1 A BOUND_VARIABLE_1202))) false))))) :args (_let_5))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_20 _let_18 _let_16 _let_7 _let_9 _let_12 _let_25))) _let_52 _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 2)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_47)) :args ((or _let_17 _let_43))) _let_49 :args (_let_17 true _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 3)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_47)) :args ((or _let_15 _let_43))) _let_49 :args (_let_15 true _let_43)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 5)) _let_49 :args ((not _let_7) true _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 8)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_47)) :args ((or _let_8 _let_43))) _let_49 :args (_let_8 true _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or _let_42 _let_11 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 7)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_26))) :args _let_47)) :args ((or _let_26 _let_43))) _let_49 :args (_let_26 true _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_32 _let_30 _let_34 _let_27 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 4)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_47)) :args ((or _let_31 _let_43))) _let_49 :args (_let_31 true _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 6)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_47)) :args ((or _let_29 _let_43))) _let_49 :args (_let_29 true _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_33 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_22 _let_20 _let_38 (not _let_39)))) _let_52 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_latsum_1 A B)))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_38 false _let_21 false _let_19 false _let_39)) :args (_let_33 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r1_orders_2 A BOUND_VARIABLE_1056 BOUND_VARIABLE_1058)))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_27 false _let_31 false _let_29 false _let_33 false _let_35)) :args (_let_11 false _let_26 false _let_27)) :args (_let_25 false _let_21 false _let_19 false _let_17 false _let_15 true _let_7 false _let_8 false _let_11)) _let_24 :args (false true _let_23 false _let_5)) :args (_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_orders_2 A) (= A (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (tptp.m1_relset_1 B A A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) _let_2 true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))) true (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_relset_1 B A A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_1 (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for SEU413+1
% 0.21/0.58 % cvc5---1.0.5 exiting
% 0.21/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------