%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV408+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 21:51:02 EDT 2023

% Result   : Theorem 0.21s 0.57s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV408+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 09:11:19 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.57  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wQjCPiZ6lZ/cvc5---1.0.5_29007.p...
% 0.21/0.57  ------- get file name : TPTP file name is SWV408+1
% 0.21/0.57  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29007.smt2...
% 0.21/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57  % SZS status Theorem for SWV408+1
% 0.21/0.57  % SZS output start Proof for SWV408+1
% 0.21/0.57  (
% 0.21/0.57  (let ((_let_1 (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (tptp.contains_slb V X) (tptp.strictly_less_than X (tptp.findmin_cpq_res (tptp.triple U V W)))) (or (tptp.pair_in_list (tptp.update_slb V _let_1) X _let_1) (exists ((Y $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (and (tptp.pair_in_list (tptp.update_slb V _let_1) X Y) (tptp.less_than _let_1 Y))))))))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.contains_slb U V) (tptp.strictly_less_than V W)) (or (tptp.pair_in_list (tptp.update_slb U W) V W) (exists ((X $$unsorted)) (and (tptp.pair_in_list (tptp.update_slb U W) V X) (tptp.less_than W X)))))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (not (= V tptp.create_slb)) (= (tptp.findmin_cpq_res (tptp.triple U V W)) (tptp.findmin_pqp_res U)))))) (let ((_let_4 (forall ((U $$unsorted)) (not (tptp.contains_slb tptp.create_slb U))))) (let ((_let_5 (tptp.findmin_cpq_res (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_6 (tptp.strictly_less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5))) (let ((_let_7 (tptp.findmin_pqp_res SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.strictly_less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7))) (let ((_let_9 (= _let_5 _let_7))) (let ((_let_10 (forall ((Y $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.pair_in_list (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (not (tptp.less_than _let_1 Y))))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.pair_in_list (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7))) (let ((_let_13 (not _let_6))) (let ((_let_14 (tptp.contains_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_12 _let_11))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (or (not (tptp.contains_slb V X)) (not (tptp.strictly_less_than X (tptp.findmin_cpq_res (tptp.triple U V W)))) (tptp.pair_in_list (tptp.update_slb V _let_1) X _let_1) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (or (not (tptp.pair_in_list (tptp.update_slb V _let_1) X Y)) (not (tptp.less_than _let_1 Y))))))))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_21))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (REFL :args (_let_16)))) (let ((_let_24 (forall ((X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.pair_in_list (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (not (tptp.less_than _let_1 X))))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_8))) (let ((_let_27 (or _let_15 _let_26 _let_12 _let_25))) (let ((_let_28 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.contains_slb U V)) (not (tptp.strictly_less_than V W)) (tptp.pair_in_list (tptp.update_slb U W) V W) (not (forall ((X $$unsorted)) (or (not (tptp.pair_in_list (tptp.update_slb U W) V X)) (not (tptp.less_than W X))))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_20)) :args ((or _let_14 _let_16))) _let_22 :args (_let_14 true _let_16)))) (let ((_let_31 (= tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (or _let_31 _let_9))) (let ((_let_33 (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (or (= tptp.create_slb V) (= (tptp.findmin_cpq_res (tptp.triple U V W)) (tptp.findmin_pqp_res U)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (tptp.contains_slb tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_36 (not _let_31))) (let ((_let_37 (not _let_35))) (let ((_let_38 (_let_4))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_41 (not _let_9))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_26)))) (CONG _let_40 (SYMM (ASSUME :args (_let_9))) :args (APPLY_UF tptp.strictly_less_than)) (TRUE_INTRO (ASSUME :args (_let_6))))) :args (_let_6 _let_9 _let_26))) (CONG (REFL :args (_let_13)) (REFL :args (_let_41)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_8))) :args _let_20)) :args ((or _let_13 _let_8 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_9 (not _let_32)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_37)))) (CONG (SYMM (SYMM (ASSUME :args (_let_31)))) _let_40 :args (APPLY_UF tptp.contains_slb)) (TRUE_INTRO (ASSUME :args (_let_14))))) :args (_let_14 _let_31 _let_37))) (CONG (REFL :args (_let_15)) (REFL :args (_let_36)) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_35))) :args _let_20)) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.contains_slb tptp.create_slb U) false))))) :args _let_38)) _let_39 :args (_let_37 false _let_4)) :args (_let_36 false _let_14 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple U V W)))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_9 true _let_31 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_15 _let_12 _let_26 _let_25 (not _let_27)))) _let_30 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 2)) _let_22 :args ((not _let_12) true _let_16)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_10 (= Y X)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 3)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_20)) :args ((or _let_10 _let_16))) _let_22 :args (_let_10 true _let_16)) :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.pair_in_list (tptp.update_slb U W) V W) true))))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_26 false _let_14 true _let_12 false _let_24 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_6))) :args _let_20)) :args ((or _let_6 _let_16))) _let_22 :args (_let_6 true _let_16)) :args (false false _let_9 true _let_8 false _let_6)) :args ((forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.less_than U V) (tptp.less_than V W)) (tptp.less_than U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (tptp.less_than U V) (tptp.less_than V U))) (forall ((U $$unsorted)) (tptp.less_than U U)) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.strictly_less_than U V) (and (tptp.less_than U V) (not (tptp.less_than V U))))) (forall ((U $$unsorted)) (tptp.less_than tptp.bottom U)) (not (tptp.isnonempty_slb tptp.create_slb)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (tptp.isnonempty_slb (tptp.insert_slb U (tptp.pair V W)))) _let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.contains_slb (tptp.insert_slb U (tptp.pair V X)) W) (or (tptp.contains_slb U W) (= V W)))) (forall ((U $$unsorted) (V $$unsorted)) (not (tptp.pair_in_list tptp.create_slb U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.pair_in_list (tptp.insert_slb U (tptp.pair V X)) W Y) (or (tptp.pair_in_list U W Y) (and (= V W) (= X Y))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.remove_slb (tptp.insert_slb U (tptp.pair V W)) V) U)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (=> (and (not (= V W)) (tptp.contains_slb U W)) (= (tptp.remove_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.remove_slb U W) _let_1))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V W)) V) W)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (not (= V W)) (tptp.contains_slb U W)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.lookup_slb U W)))) (forall ((U $$unsorted)) (= (tptp.update_slb tptp.create_slb U) tptp.create_slb)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (tptp.strictly_less_than X W) (= (tptp.update_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.insert_slb (tptp.update_slb U W) (tptp.pair V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (=> (tptp.less_than W X) (= (tptp.update_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.update_slb U W) _let_1))))) (forall ((U $$unsorted)) (tptp.succ_cpq U U)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.insert_cpq V W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.remove_cpq V W)))) (forall ((U $$unsorted) (V $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.findmin_cpq_eff V)))) (forall ((U $$unsorted) (V $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.removemin_cpq_eff V)))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.check_cpq (tptp.triple U tptp.create_slb V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.less_than Y X) (= (tptp.check_cpq (tptp.triple U (tptp.insert_slb V (tptp.pair X Y)) W)) (tptp.check_cpq (tptp.triple U V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.strictly_less_than X Y) (= (tptp.check_cpq (tptp.triple U (tptp.insert_slb V (tptp.pair X Y)) W)) false))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.contains_cpq (tptp.triple U V W) X) (tptp.contains_slb V X))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.ok (tptp.triple U V tptp.bad)) false)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (not (tptp.ok (tptp.triple U V W))) (= W tptp.bad))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.insert_cpq (tptp.triple U V W) X) (tptp.triple (tptp.insert_pqp U X) (tptp.insert_slb V (tptp.pair X tptp.bottom)) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (not (tptp.contains_slb V X)) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple U V tptp.bad)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (tptp.contains_slb V X) (tptp.less_than (tptp.lookup_slb V X) X)) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple (tptp.remove_pqp U X) (tptp.remove_slb V X) W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (tptp.contains_slb V X) (tptp.strictly_less_than X (tptp.lookup_slb V X))) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple (tptp.remove_pqp U X) (tptp.remove_slb V X) tptp.bad)))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.findmin_cpq_eff (tptp.triple U tptp.create_slb V)) (tptp.triple U tptp.create_slb tptp.bad))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (not (tptp.contains_slb V _let_1))) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (tptp.contains_slb V _let_1) (tptp.strictly_less_than _let_1 (tptp.lookup_slb V _let_1))) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (tptp.contains_slb V _let_1) (tptp.less_than (tptp.lookup_slb V _let_1) _let_1)) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) W))))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.findmin_cpq_res (tptp.triple U tptp.create_slb V)) tptp.bottom)) _let_3 (forall ((U $$unsorted)) (= (tptp.removemin_cpq_eff U) (tptp.remove_cpq (tptp.findmin_cpq_eff U) (tptp.findmin_cpq_res U)))) (forall ((U $$unsorted)) (= (tptp.removemin_cpq_res U) (tptp.findmin_cpq_res U))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58  )
% 0.21/0.58  % SZS output end Proof for SWV408+1
% 0.21/0.58  % cvc5---1.0.5 exiting
% 0.21/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------