%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 21:51:03 EDT 2023

% Result   : Theorem 0.41s 0.60s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 09:10:43 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.41/0.60  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wQECxUg2zl/cvc5---1.0.5_22172.p...
% 0.41/0.60  ------- get file name : TPTP file name is SWV411+1
% 0.41/0.60  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22172.smt2...
% 0.41/0.60  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.41/0.60  % SZS status Theorem for SWV411+1
% 0.41/0.60  % SZS output start Proof for SWV411+1
% 0.41/0.60  (
% 0.41/0.60  (let ((_let_1 (not (forall ((U $$unsorted)) (=> (forall ((V $$unsorted)) (=> (tptp.contains_slb U V) (exists ((W $$unsorted)) (tptp.pair_in_list U V W)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.contains_slb (tptp.insert_slb U (tptp.pair Y Z)) X) (exists ((X1 $$unsorted)) (tptp.pair_in_list (tptp.insert_slb U (tptp.pair Y Z)) X X1))))))))) (let ((_let_2 (forall ((U $$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))))))) (let ((_let_3 (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)))))) (let ((_let_4 (tptp.insert_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_5 (tptp.pair_in_list _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.pair_in_list SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_8 (or _let_7 (and _let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_9 (= _let_5 _let_8))) (let ((_let_10 (forall ((X1 $$unsorted)) (not (tptp.pair_in_list (tptp.insert_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X1))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.contains_slb _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (not _let_12))) (let ((_let_14 (forall ((V $$unsorted)) (or (not (tptp.contains_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 V)) (not (forall ((W $$unsorted)) (not (tptp.pair_in_list SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 V W)))))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_11))) (let ((_let_17 (forall ((U $$unsorted) (BOUND_VARIABLE_847 $$unsorted) (BOUND_VARIABLE_845 $$unsorted) (BOUND_VARIABLE_843 $$unsorted)) (or (not (forall ((V $$unsorted)) (or (not (tptp.contains_slb U V)) (not (forall ((W $$unsorted)) (not (tptp.pair_in_list U V W))))))) (not (tptp.contains_slb (tptp.insert_slb U (tptp.pair BOUND_VARIABLE_845 BOUND_VARIABLE_847)) BOUND_VARIABLE_843)) (not (forall ((X1 $$unsorted)) (not (tptp.pair_in_list (tptp.insert_slb U (tptp.pair BOUND_VARIABLE_845 BOUND_VARIABLE_847)) BOUND_VARIABLE_843 X1)))))))) (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 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 2)) (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)))) (let ((_let_25 (_let_10))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (forall ((W $$unsorted)) (not (tptp.pair_in_list SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 W))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.contains_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (_let_14))) (let ((_let_33 (or _let_29 _let_6))) (let ((_let_34 (= _let_12 _let_33))) (let ((_let_35 (_let_3))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (or (tptp.pair_in_list SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_6))) (let ((_let_38 (not _let_6))) (let ((_let_39 (tptp.pair_in_list _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (= _let_39 _let_37))) (let ((_let_41 (not _let_37))) (let ((_let_42 (_let_2))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.pair_in_list (tptp.insert_slb U (tptp.pair V X)) W Y)))) (let ((_let_45 (not _let_7))) (let ((_let_46 (_let_28))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_9)) :args ((or _let_5 (not _let_8) (not _let_9)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_9 false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_8 0)) :args ((or _let_45 _let_8))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46) (REWRITE :args ((=> _let_28 (not _let_45)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) (REFL :args (_let_7)) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_29 _let_6 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_37 1)) :args ((or _let_38 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_40)) :args ((or _let_39 _let_41 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_25)) _let_24 :args ((not _let_39) false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42))) _let_43 :args (_let_40 false _let_2)) :args (_let_41 true _let_39 false _let_40)) :args (_let_38 true _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_34)) :args ((or _let_13 _let_33 (not _let_34)))) (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_12))) :args _let_20)) :args ((or _let_12 _let_16))) _let_22 :args (_let_12 true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.contains_slb (tptp.insert_slb U (tptp.pair V X)) W)))) :args _let_35)) _let_36 :args (_let_34 false _let_3)) :args (_let_33 false _let_12 false _let_34)) :args (_let_29 true _let_6 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.contains_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 V) false))))) :args _let_32)) (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)) :args (_let_31 false _let_14)) :args (_let_28 false _let_29 false _let_31)) :args (_let_7 true _let_27)) :args (_let_8 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_ENUM)) :args _let_25)) _let_24 :args ((not _let_5) false _let_10)) :args (false false _let_9 false _let_8 true _let_5)) :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 $$unsorted)) (tptp.isnonempty_slb (tptp.insert_slb U (tptp.pair V W)))) (forall ((U $$unsorted)) (not (tptp.contains_slb tptp.create_slb U))) _let_3 (forall ((U $$unsorted) (V $$unsorted)) (not (tptp.pair_in_list tptp.create_slb U V))) _let_2 (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))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.45/0.60  )
% 0.45/0.60  % SZS output end Proof for SWV411+1
% 0.45/0.60  % cvc5---1.0.5 exiting
% 0.45/0.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------