TSTP Solution File: SWC344+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC344+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 20:24:55 EDT 2023

% Result   : Theorem 0.26s 0.77s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16  % Problem    : SWC344+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.17  % Command    : do_cvc5 %s %d
% 0.16/0.39  % Computer : n019.cluster.edu
% 0.16/0.39  % Model    : x86_64 x86_64
% 0.16/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39  % Memory   : 8042.1875MB
% 0.16/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39  % CPULimit   : 300
% 0.16/0.39  % WCLimit    : 300
% 0.16/0.39  % DateTime   : Mon Aug 28 16:29:43 EDT 2023
% 0.16/0.39  % CPUTime    : 
% 0.26/0.56  %----Proving TF0_NAR, FOF, or CNF
% 0.26/0.77  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7HXzpbGzSk/cvc5---1.0.5_9354.p...
% 0.26/0.77  ------- get file name : TPTP file name is SWC344+1
% 0.26/0.77  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9354.smt2...
% 0.26/0.77  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.26/0.77  % SZS status Theorem for SWC344+1
% 0.26/0.77  % SZS output start Proof for SWC344+1
% 0.26/0.77  (
% 0.26/0.77  (let ((_let_1 (not (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (or (not (= V X)) (not (= U W)) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (or (not (= (tptp.app (tptp.app Y W) Z) X)) (not (tptp.strictorderedP W)) (exists ((X1 $$unsorted)) (and (tptp.ssItem X1) (exists ((X2 $$unsorted)) (and (tptp.ssList X2) (= (tptp.app X2 (tptp.cons X1 tptp.nil)) Y) (exists ((X3 $$unsorted)) (and (tptp.ssItem X3) (exists ((X4 $$unsorted)) (and (tptp.ssList X4) (= (tptp.app (tptp.cons X3 tptp.nil) X4) W) (tptp.lt X1 X3))))))))) (exists ((X5 $$unsorted)) (and (tptp.ssItem X5) (exists ((X6 $$unsorted)) (and (tptp.ssList X6) (= (tptp.app (tptp.cons X5 tptp.nil) X6) Z) (exists ((X7 $$unsorted)) (and (tptp.ssItem X7) (exists ((X8 $$unsorted)) (and (tptp.ssList X8) (= (tptp.app X8 (tptp.cons X7 tptp.nil)) W) (tptp.lt X7 X5)))))))))))))) (and (not (= tptp.nil X)) (= tptp.nil W)) (and (exists ((X9 $$unsorted)) (and (tptp.ssList X9) (exists ((X10 $$unsorted)) (and (tptp.ssList X10) (= (tptp.app (tptp.app X9 U) X10) V) (forall ((X11 $$unsorted)) (=> (tptp.ssItem X11) (forall ((X12 $$unsorted)) (=> (tptp.ssList X12) (or (not (= (tptp.app X12 (tptp.cons X11 tptp.nil)) X9)) (forall ((X13 $$unsorted)) (=> (tptp.ssItem X13) (forall ((X14 $$unsorted)) (=> (tptp.ssList X14) (or (not (= (tptp.app (tptp.cons X13 tptp.nil) X14) U)) (not (tptp.lt X11 X13)))))))))))) (forall ((X15 $$unsorted)) (=> (tptp.ssItem X15) (forall ((X16 $$unsorted)) (=> (tptp.ssList X16) (or (not (= (tptp.app (tptp.cons X15 tptp.nil) X16) X10)) (forall ((X17 $$unsorted)) (=> (tptp.ssItem X17) (forall ((X18 $$unsorted)) (=> (tptp.ssList X18) (or (not (= (tptp.app X18 (tptp.cons X17 tptp.nil)) U)) (not (tptp.lt X17 X15)))))))))))) (tptp.strictorderedP U))))) (or (not (= tptp.nil U)) (= tptp.nil V))))))))))))))) (let ((_let_2 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_3 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_4 (forall ((X15 $$unsorted) (BOUND_VARIABLE_5697 $$unsorted) (BOUND_VARIABLE_5684 $$unsorted) (BOUND_VARIABLE_5682 $$unsorted)) (or (not (tptp.ssItem X15)) (not (tptp.ssItem BOUND_VARIABLE_5682)) (not (tptp.lt BOUND_VARIABLE_5682 X15)) (not (tptp.ssList BOUND_VARIABLE_5684)) (not (= (tptp.app BOUND_VARIABLE_5684 (tptp.cons BOUND_VARIABLE_5682 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.ssList BOUND_VARIABLE_5697)) (not (= (tptp.app (tptp.cons X15 tptp.nil) BOUND_VARIABLE_5697) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_5 (not _let_4))) (let ((_let_6 (not _let_3))) (let ((_let_7 (forall ((X11 $$unsorted) (BOUND_VARIABLE_5624 $$unsorted) (BOUND_VARIABLE_5611 $$unsorted) (BOUND_VARIABLE_5609 $$unsorted)) (or (not (tptp.ssItem X11)) (not (tptp.ssItem BOUND_VARIABLE_5609)) (not (tptp.lt X11 BOUND_VARIABLE_5609)) (not (tptp.ssList BOUND_VARIABLE_5611)) (not (= (tptp.app (tptp.cons BOUND_VARIABLE_5609 tptp.nil) BOUND_VARIABLE_5611) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.ssList BOUND_VARIABLE_5624)) (not (= (tptp.app BOUND_VARIABLE_5624 (tptp.cons X11 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_8 (not _let_7))) (let ((_let_9 (not _let_2))) (let ((_let_10 (or _let_9 _let_8 _let_6 _let_5))) (let ((_let_11 (forall ((X5 $$unsorted) (BOUND_VARIABLE_5507 $$unsorted) (BOUND_VARIABLE_5494 $$unsorted) (BOUND_VARIABLE_5492 $$unsorted)) (or (not (tptp.ssItem X5)) (not (tptp.ssItem BOUND_VARIABLE_5492)) (not (tptp.lt BOUND_VARIABLE_5492 X5)) (not (tptp.ssList BOUND_VARIABLE_5494)) (not (= (tptp.app BOUND_VARIABLE_5494 (tptp.cons BOUND_VARIABLE_5492 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.ssList BOUND_VARIABLE_5507)) (not (= (tptp.app (tptp.cons X5 tptp.nil) BOUND_VARIABLE_5507) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (forall ((X1 $$unsorted) (BOUND_VARIABLE_5419 $$unsorted) (BOUND_VARIABLE_5406 $$unsorted) (BOUND_VARIABLE_5404 $$unsorted)) (or (not (tptp.ssItem X1)) (not (tptp.ssItem BOUND_VARIABLE_5404)) (not (tptp.lt X1 BOUND_VARIABLE_5404)) (not (tptp.ssList BOUND_VARIABLE_5406)) (not (= (tptp.app (tptp.cons BOUND_VARIABLE_5404 tptp.nil) BOUND_VARIABLE_5406) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.ssList BOUND_VARIABLE_5419)) (not (= (tptp.app BOUND_VARIABLE_5419 (tptp.cons X1 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (tptp.app (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_17 (= tptp.nil _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (and _let_18 _let_15))) (let ((_let_20 (not _let_15))) (let ((_let_21 (or _let_20 _let_17))) (let ((_let_22 (forall ((X9 $$unsorted) (BOUND_VARIABLE_5737 $$unsorted)) (or (not (tptp.ssList X9)) (not (forall ((X11 $$unsorted) (BOUND_VARIABLE_5624 $$unsorted) (BOUND_VARIABLE_5611 $$unsorted) (BOUND_VARIABLE_5609 $$unsorted)) (or (not (tptp.ssItem X11)) (not (tptp.ssItem BOUND_VARIABLE_5609)) (not (tptp.lt X11 BOUND_VARIABLE_5609)) (not (tptp.ssList BOUND_VARIABLE_5611)) (not (= (tptp.app (tptp.cons BOUND_VARIABLE_5609 tptp.nil) BOUND_VARIABLE_5611) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.ssList BOUND_VARIABLE_5624)) (not (= X9 (tptp.app BOUND_VARIABLE_5624 (tptp.cons X11 tptp.nil))))))) (not (tptp.ssList BOUND_VARIABLE_5737)) (not (= (tptp.app (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.app (tptp.app X9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) BOUND_VARIABLE_5737))) (not (forall ((X15 $$unsorted) (BOUND_VARIABLE_5697 $$unsorted) (BOUND_VARIABLE_5684 $$unsorted) (BOUND_VARIABLE_5682 $$unsorted)) (or (not (tptp.ssItem X15)) (not (tptp.ssItem BOUND_VARIABLE_5682)) (not (tptp.lt BOUND_VARIABLE_5682 X15)) (not (tptp.ssList BOUND_VARIABLE_5684)) (not (= (tptp.app BOUND_VARIABLE_5684 (tptp.cons BOUND_VARIABLE_5682 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.ssList BOUND_VARIABLE_5697)) (not (= (tptp.app (tptp.cons X15 tptp.nil) BOUND_VARIABLE_5697) BOUND_VARIABLE_5737))))))))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.strictorderedP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (and _let_24 _let_23 _let_21))) (let ((_let_26 (not (tptp.ssList _let_16)))) (let ((_let_27 (not _let_24))) (let ((_let_28 (not (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_29 (or _let_28 _let_27 _let_26 _let_25 _let_19 _let_9 _let_14 _let_6 _let_12))) (let ((_let_30 (forall ((U $$unsorted) (BOUND_VARIABLE_5962 $$unsorted) (BOUND_VARIABLE_5960 $$unsorted)) (let ((_let_1 (= tptp.nil U))) (let ((_let_2 (tptp.app (tptp.app BOUND_VARIABLE_5962 U) BOUND_VARIABLE_5960))) (let ((_let_3 (= tptp.nil _let_2))) (let ((_let_4 (tptp.strictorderedP U))) (or (not (tptp.ssList U)) (not _let_4) (not (tptp.ssList _let_2)) (and _let_4 (not (forall ((X9 $$unsorted) (BOUND_VARIABLE_5737 $$unsorted)) (or (not (tptp.ssList X9)) (not (forall ((X11 $$unsorted) (BOUND_VARIABLE_5624 $$unsorted) (BOUND_VARIABLE_5611 $$unsorted) (BOUND_VARIABLE_5609 $$unsorted)) (or (not (tptp.ssItem X11)) (not (tptp.ssItem BOUND_VARIABLE_5609)) (not (tptp.lt X11 BOUND_VARIABLE_5609)) (not (tptp.ssList BOUND_VARIABLE_5611)) (not (= U (tptp.app (tptp.cons BOUND_VARIABLE_5609 tptp.nil) BOUND_VARIABLE_5611))) (not (tptp.ssList BOUND_VARIABLE_5624)) (not (= X9 (tptp.app BOUND_VARIABLE_5624 (tptp.cons X11 tptp.nil))))))) (not (tptp.ssList BOUND_VARIABLE_5737)) (not (= (tptp.app (tptp.app X9 U) BOUND_VARIABLE_5737) (tptp.app (tptp.app BOUND_VARIABLE_5962 U) BOUND_VARIABLE_5960))) (not (forall ((X15 $$unsorted) (BOUND_VARIABLE_5697 $$unsorted) (BOUND_VARIABLE_5684 $$unsorted) (BOUND_VARIABLE_5682 $$unsorted)) (or (not (tptp.ssItem X15)) (not (tptp.ssItem BOUND_VARIABLE_5682)) (not (tptp.lt BOUND_VARIABLE_5682 X15)) (not (tptp.ssList BOUND_VARIABLE_5684)) (not (= U (tptp.app BOUND_VARIABLE_5684 (tptp.cons BOUND_VARIABLE_5682 tptp.nil)))) (not (tptp.ssList BOUND_VARIABLE_5697)) (not (= (tptp.app (tptp.cons X15 tptp.nil) BOUND_VARIABLE_5697) BOUND_VARIABLE_5737)))))))) (or (not _let_1) _let_3)) (and (not _let_3) _let_1) (not (tptp.ssList BOUND_VARIABLE_5962)) (not (forall ((X1 $$unsorted) (BOUND_VARIABLE_5419 $$unsorted) (BOUND_VARIABLE_5406 $$unsorted) (BOUND_VARIABLE_5404 $$unsorted)) (or (not (tptp.ssItem X1)) (not (tptp.ssItem BOUND_VARIABLE_5404)) (not (tptp.lt X1 BOUND_VARIABLE_5404)) (not (tptp.ssList BOUND_VARIABLE_5406)) (not (= U (tptp.app (tptp.cons BOUND_VARIABLE_5404 tptp.nil) BOUND_VARIABLE_5406))) (not (tptp.ssList BOUND_VARIABLE_5419)) (not (= (tptp.app BOUND_VARIABLE_5419 (tptp.cons X1 tptp.nil)) BOUND_VARIABLE_5962))))) (not (tptp.ssList BOUND_VARIABLE_5960)) (not (forall ((X5 $$unsorted) (BOUND_VARIABLE_5507 $$unsorted) (BOUND_VARIABLE_5494 $$unsorted) (BOUND_VARIABLE_5492 $$unsorted)) (or (not (tptp.ssItem X5)) (not (tptp.ssItem BOUND_VARIABLE_5492)) (not (tptp.lt BOUND_VARIABLE_5492 X5)) (not (tptp.ssList BOUND_VARIABLE_5494)) (not (= U (tptp.app BOUND_VARIABLE_5494 (tptp.cons BOUND_VARIABLE_5492 tptp.nil)))) (not (tptp.ssList BOUND_VARIABLE_5507)) (not (= (tptp.app (tptp.cons X5 tptp.nil) BOUND_VARIABLE_5507) BOUND_VARIABLE_5960))))))))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (not _let_30))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_32) :args (_let_34)) (REWRITE :args ((=> _let_34 (not (or _let_28 _let_27 _let_26 (and _let_24 (not (forall ((X9 $$unsorted) (BOUND_VARIABLE_5737 $$unsorted)) (or (not (tptp.ssList X9)) (not (forall ((X11 $$unsorted) (BOUND_VARIABLE_5624 $$unsorted) (BOUND_VARIABLE_5611 $$unsorted) (BOUND_VARIABLE_5609 $$unsorted)) (or (not (tptp.ssItem X11)) (not (tptp.ssItem BOUND_VARIABLE_5609)) (not (tptp.lt X11 BOUND_VARIABLE_5609)) (not (tptp.ssList BOUND_VARIABLE_5611)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app (tptp.cons BOUND_VARIABLE_5609 tptp.nil) BOUND_VARIABLE_5611))) (not (tptp.ssList BOUND_VARIABLE_5624)) (not (= X9 (tptp.app BOUND_VARIABLE_5624 (tptp.cons X11 tptp.nil))))))) (not (tptp.ssList BOUND_VARIABLE_5737)) (not (= (tptp.app (tptp.app X9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) BOUND_VARIABLE_5737) (tptp.app (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (not (forall ((X15 $$unsorted) (BOUND_VARIABLE_5697 $$unsorted) (BOUND_VARIABLE_5684 $$unsorted) (BOUND_VARIABLE_5682 $$unsorted)) (or (not (tptp.ssItem X15)) (not (tptp.ssItem BOUND_VARIABLE_5682)) (not (tptp.lt BOUND_VARIABLE_5682 X15)) (not (tptp.ssList BOUND_VARIABLE_5684)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app BOUND_VARIABLE_5684 (tptp.cons BOUND_VARIABLE_5682 tptp.nil)))) (not (tptp.ssList BOUND_VARIABLE_5697)) (not (= (tptp.app (tptp.cons X15 tptp.nil) BOUND_VARIABLE_5697) BOUND_VARIABLE_5737)))))))) _let_21) _let_19 _let_9 (not (forall ((X1 $$unsorted) (BOUND_VARIABLE_5419 $$unsorted) (BOUND_VARIABLE_5406 $$unsorted) (BOUND_VARIABLE_5404 $$unsorted)) (or (not (tptp.ssItem X1)) (not (tptp.ssItem BOUND_VARIABLE_5404)) (not (tptp.lt X1 BOUND_VARIABLE_5404)) (not (tptp.ssList BOUND_VARIABLE_5406)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app (tptp.cons BOUND_VARIABLE_5404 tptp.nil) BOUND_VARIABLE_5406))) (not (tptp.ssList BOUND_VARIABLE_5419)) (not (= (tptp.app BOUND_VARIABLE_5419 (tptp.cons X1 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) _let_6 (not (forall ((X5 $$unsorted) (BOUND_VARIABLE_5507 $$unsorted) (BOUND_VARIABLE_5494 $$unsorted) (BOUND_VARIABLE_5492 $$unsorted)) (or (not (tptp.ssItem X5)) (not (tptp.ssItem BOUND_VARIABLE_5492)) (not (tptp.lt BOUND_VARIABLE_5492 X5)) (not (tptp.ssList BOUND_VARIABLE_5494)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app BOUND_VARIABLE_5494 (tptp.cons BOUND_VARIABLE_5492 tptp.nil)))) (not (tptp.ssList BOUND_VARIABLE_5507)) (not (= (tptp.app (tptp.cons X5 tptp.nil) BOUND_VARIABLE_5507) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_33)) _let_32 :args (_let_31 true _let_30)))) (let ((_let_36 (REFL :args (_let_29)))) (let ((_let_37 (_let_19))) (let ((_let_38 (not _let_21))) (let ((_let_39 (_let_25))) (let ((_let_40 (_let_22))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_6 _let_5 _let_8 (not _let_10)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_11 (= BOUND_VARIABLE_5494 BOUND_VARIABLE_5684) (= BOUND_VARIABLE_5492 BOUND_VARIABLE_5682) (= X5 X15) (= BOUND_VARIABLE_5507 BOUND_VARIABLE_5697)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 8)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_33)) :args ((or _let_11 _let_29))) _let_35 :args (_let_11 true _let_29)) :args (_let_4 false _let_11)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_13 (= BOUND_VARIABLE_5419 BOUND_VARIABLE_5624) (= X1 X11) (= BOUND_VARIABLE_5404 BOUND_VARIABLE_5609) (= BOUND_VARIABLE_5406 BOUND_VARIABLE_5611)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 6)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_33)) :args ((or _let_13 _let_29))) _let_35 :args (_let_13 true _let_29)) :args (_let_7 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.app X9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) BOUND_VARIABLE_5737)))) :args _let_40))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_39) (CONG (REFL :args _let_39) (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) (REFL :args (_let_38)) :args _let_33)) :args ((or _let_27 _let_22 _let_25 _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_24))) :args _let_33)) :args ((or _let_24 _let_29))) _let_35 :args (_let_24 true _let_29)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 3)) _let_35 :args ((not _let_25) true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_37) (CONG (REFL :args _let_37) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) (REFL :args (_let_20)) :args _let_33)) :args ((or _let_20 _let_17 _let_19))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 4)) _let_35 :args ((not _let_19) true 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$$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (tptp.lt V W))))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.duplicatefreeP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (not (= V W)))))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.equalelemsP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (=> (= (tptp.app X (tptp.cons V (tptp.cons W Y))) U) (= V W))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.neq U V) (not (= U V))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (tptp.ssList (tptp.cons V U)))))) (tptp.ssList tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (not (= (tptp.cons V U) U)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssItem X) (=> (= (tptp.cons W U) (tptp.cons X V)) (and (= W X) (= V U))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (or (= tptp.nil U) (exists ((V $$unsorted)) (and (tptp.ssList V) (exists ((W $$unsorted)) (and (tptp.ssItem W) (= (tptp.cons W V) U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (not (= tptp.nil (tptp.cons V U))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (tptp.ssItem (tptp.hd U))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.hd (tptp.cons V U)) V))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (tptp.ssList (tptp.tl U))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.tl (tptp.cons V U)) U))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (tptp.ssList (tptp.app U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (= (tptp.cons W (tptp.app V U)) (tptp.app (tptp.cons W V) U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (and (tptp.leq U V) (tptp.leq V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.leq U V) (tptp.leq V W)) (tptp.leq U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.leq U U))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.geq U V) (tptp.leq V U)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.lt U V) (not (tptp.lt V U))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.lt U V) (tptp.lt V W)) (tptp.lt U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.gt U V) (tptp.lt V U)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.memberP (tptp.app V W) U) (or (tptp.memberP V U) (tptp.memberP W U))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.memberP (tptp.cons V W) U) (or (= U V) (tptp.memberP W U))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (not (tptp.memberP tptp.nil U)))) (not (tptp.singletonP tptp.nil)) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (and (tptp.frontsegP U V) (tptp.frontsegP V W)) (tptp.frontsegP U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (tptp.frontsegP U V) (tptp.frontsegP V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.frontsegP U U))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (tptp.frontsegP U V) (tptp.frontsegP (tptp.app U W) V)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (= (tptp.frontsegP (tptp.cons U W) (tptp.cons V X)) (and (= U V) (tptp.frontsegP W X))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.frontsegP U tptp.nil))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.frontsegP tptp.nil U) (= tptp.nil U)))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (and (tptp.rearsegP U V) (tptp.rearsegP V W)) (tptp.rearsegP U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (tptp.rearsegP U V) (tptp.rearsegP V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.rearsegP U U))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (tptp.rearsegP U V) (tptp.rearsegP (tptp.app W U) V)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.rearsegP U tptp.nil))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.rearsegP tptp.nil U) (= tptp.nil U)))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (and (tptp.segmentP U V) (tptp.segmentP V W)) (tptp.segmentP U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (tptp.segmentP U V) (tptp.segmentP V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.segmentP U U))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (=> (tptp.segmentP U V) (tptp.segmentP (tptp.app (tptp.app W U) X) V)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.segmentP U tptp.nil))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.segmentP tptp.nil U) (= tptp.nil U)))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (tptp.cyclefreeP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.totalorderP (tptp.cons U tptp.nil)))) (tptp.totalorderP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.strictorderP (tptp.cons U tptp.nil)))) (tptp.strictorderP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (tptp.totalorderedP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (let ((_let_1 (= tptp.nil V))) (=> (tptp.ssList V) (= (tptp.totalorderedP (tptp.cons U V)) (or _let_1 (and (not _let_1) (tptp.totalorderedP V) (tptp.leq U (tptp.hd V)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (tptp.strictorderedP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (let ((_let_1 (= tptp.nil V))) (=> (tptp.ssList V) (= (tptp.strictorderedP (tptp.cons U V)) (or _let_1 (and (not _let_1) (tptp.strictorderedP V) (tptp.lt U (tptp.hd V)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) (tptp.duplicatefreeP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (tptp.equalelemsP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (exists ((V $$unsorted)) (and (tptp.ssItem V) (= (tptp.hd U) V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (exists ((V $$unsorted)) (and (tptp.ssList V) (= (tptp.tl U) V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (not (= tptp.nil V)) (not (= tptp.nil U)) (= (tptp.hd V) (tptp.hd U)) (= (tptp.tl V) (tptp.tl U))) (= V U)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U)))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (= (tptp.app W V) (tptp.app U V)) (= W U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (= (tptp.app V W) (tptp.app V U)) (= W U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.cons V U) (tptp.app (tptp.cons V tptp.nil) U)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.app (tptp.app U V) W) (tptp.app U (tptp.app V W))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (= tptp.nil (tptp.app U V)) (and (= tptp.nil V) (= tptp.nil U))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.hd (tptp.app U V)) (tptp.hd U))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.tl (tptp.app U V)) (tptp.app (tptp.tl U) V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (and (tptp.geq U V) (tptp.geq V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.geq U V) (tptp.geq V W)) (tptp.geq U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.geq U U))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (not (tptp.lt U U)))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.leq U V) (tptp.lt V W)) (tptp.lt U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.leq U V) (or (= U V) (tptp.lt U V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.lt U V) (and (not (= U V)) (tptp.leq U V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.gt U V) (not (tptp.gt V U))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.gt U V) (tptp.gt V W)) (tptp.gt U W)))))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))
% 0.26/0.77  )
% 0.26/0.77  % SZS output end Proof for SWC344+1
% 0.26/0.77  % cvc5---1.0.5 exiting
% 0.26/0.78  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------