TSTP Solution File: SWC160+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC160+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 20:23:41 EDT 2023
% Result : Theorem 76.19s 76.64s
% Output : Proof 76.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC160+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n021.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 : Mon Aug 28 18:58:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 76.19/76.64 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ny6VLChyhg/cvc5---1.0.5_1400.p...
% 76.19/76.64 ------- get file name : TPTP file name is SWC160+1
% 76.19/76.64 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1400.smt2...
% 76.19/76.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 76.19/76.64 --- Run --no-e-matching --full-saturate-quant at 5...
% 76.19/76.64 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 76.19/76.64 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 76.19/76.64 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 76.19/76.64 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 76.19/76.64 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 76.19/76.64 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 76.19/76.64 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 76.19/76.64 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 76.19/76.64 --- Run --relevant-triggers --full-saturate-quant at 5...
% 76.19/76.64 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 76.19/76.64 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.19/76.64 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 76.19/76.64 % SZS status Theorem for SWC160+1
% 76.19/76.64 % SZS output start Proof for SWC160+1
% 76.19/76.64 (
% 76.19/76.64 (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 $$unsorted)) (=> (tptp.ssList Y) (or (not (= (tptp.app W Y) X)) (not (tptp.strictorderedP W)) (exists ((Z $$unsorted)) (and (tptp.ssItem Z) (exists ((X1 $$unsorted)) (and (tptp.ssList X1) (= (tptp.app (tptp.cons Z tptp.nil) X1) Y) (exists ((X2 $$unsorted)) (and (tptp.ssItem X2) (exists ((X3 $$unsorted)) (and (tptp.ssList X3) (= (tptp.app X3 (tptp.cons X2 tptp.nil)) W) (tptp.lt X2 Z)))))))))))) (forall ((X4 $$unsorted)) (=> (tptp.ssItem X4) (forall ((X5 $$unsorted)) (=> (tptp.ssItem X5) (forall ((X6 $$unsorted)) (=> (tptp.ssList X6) (forall ((X7 $$unsorted)) (=> (tptp.ssList X7) (forall ((X8 $$unsorted)) (=> (tptp.ssList X8) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app X6 (tptp.cons X4 tptp.nil)) X7) (tptp.cons X5 tptp.nil)) X8) U)) (not (tptp.leq X5 X4)) (and (forall ((X9 $$unsorted)) (=> (tptp.ssItem X9) (or (not (tptp.memberP X7 X9)) (and (tptp.leq X4 X9) (tptp.leq X9 X5))))) (tptp.leq X4 X5))))))))))))) (and (not (= tptp.nil X)) (= tptp.nil W)))))))))))))) (let ((_let_2 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.lt U V) (and (not (= U V)) (tptp.leq U V))))))))) (let ((_let_3 (forall ((U $$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))))))))))) (let ((_let_4 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (and (tptp.leq U V) (tptp.leq V U)) (= U V)))))))) (let ((_let_5 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app tptp.nil U) U))))) (let ((_let_6 (forall ((U $$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)))))))))) (let ((_let_7 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (tptp.ssList (tptp.app U V)))))))) (let ((_let_8 (tptp.ssList tptp.nil))) (let ((_let_9 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (tptp.ssList (tptp.cons V U)))))))) (let ((_let_10 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.strictorderedP U) (forall ((V $$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) (tptp.lt V W))))))))))))))))) (let ((_let_11 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_12 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_15 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_13))) (let ((_let_18 (not _let_11))) (let ((_let_19 (not _let_12))) (let ((_let_20 (or _let_19 _let_18 _let_17 _let_16 _let_14))) (let ((_let_21 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.nil))) (let ((_let_22 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.nil))) (let ((_let_23 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_22))) (let ((_let_24 (tptp.app _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_25 (tptp.app (tptp.app _let_24 _let_21) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_26 (tptp.app _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_27 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.strictorderedP _let_25))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.ssList _let_25))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_18 _let_19 _let_17 _let_32 _let_30 (and (or (not (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.memberP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (and (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) _let_15) _let_28 (not (tptp.ssList _let_26)) (and (not (= tptp.nil _let_26)) (= tptp.nil _let_25)) (not (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (forall ((Z $$unsorted) (BOUND_VARIABLE_5352 $$unsorted) (BOUND_VARIABLE_5339 $$unsorted) (BOUND_VARIABLE_5337 $$unsorted)) (or (not (tptp.ssItem Z)) (not (tptp.ssItem BOUND_VARIABLE_5337)) (not (tptp.lt BOUND_VARIABLE_5337 Z)) (not (tptp.ssList BOUND_VARIABLE_5339)) (not (= (tptp.app BOUND_VARIABLE_5339 (tptp.cons BOUND_VARIABLE_5337 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (not (tptp.ssList BOUND_VARIABLE_5352)) (not (= (tptp.app (tptp.cons Z tptp.nil) BOUND_VARIABLE_5352) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))))) (let ((_let_38 (forall ((BOUND_VARIABLE_5708 $$unsorted) (BOUND_VARIABLE_5706 $$unsorted) (BOUND_VARIABLE_5704 $$unsorted) (BOUND_VARIABLE_5741 $$unsorted) (BOUND_VARIABLE_5702 $$unsorted) (BOUND_VARIABLE_5700 $$unsorted) (BOUND_VARIABLE_5698 $$unsorted)) (let ((_let_1 (tptp.app (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5700 (tptp.cons BOUND_VARIABLE_5698 tptp.nil)) BOUND_VARIABLE_5706) (tptp.cons BOUND_VARIABLE_5708 tptp.nil)) BOUND_VARIABLE_5704))) (let ((_let_2 (tptp.app _let_1 BOUND_VARIABLE_5741))) (or (not (tptp.ssList _let_1)) (not (tptp.strictorderedP _let_1)) (not (tptp.ssItem BOUND_VARIABLE_5698)) (not (tptp.ssItem BOUND_VARIABLE_5708)) (not (tptp.leq BOUND_VARIABLE_5708 BOUND_VARIABLE_5698)) (not (tptp.ssList BOUND_VARIABLE_5700)) (not (tptp.ssList BOUND_VARIABLE_5706)) (and (or (not (tptp.ssItem BOUND_VARIABLE_5702)) (not (tptp.memberP BOUND_VARIABLE_5706 BOUND_VARIABLE_5702)) (and (tptp.leq BOUND_VARIABLE_5698 BOUND_VARIABLE_5702) (tptp.leq BOUND_VARIABLE_5702 BOUND_VARIABLE_5708))) (tptp.leq BOUND_VARIABLE_5698 BOUND_VARIABLE_5708)) (not (tptp.ssList BOUND_VARIABLE_5704)) (not (tptp.ssList _let_2)) (and (not (= tptp.nil _let_2)) (= tptp.nil _let_1)) (not (tptp.ssList BOUND_VARIABLE_5741)) (not (forall ((Z $$unsorted) (BOUND_VARIABLE_5352 $$unsorted) (BOUND_VARIABLE_5339 $$unsorted) (BOUND_VARIABLE_5337 $$unsorted)) (or (not (tptp.ssItem Z)) (not (tptp.ssItem BOUND_VARIABLE_5337)) (not (tptp.lt BOUND_VARIABLE_5337 Z)) (not (tptp.ssList BOUND_VARIABLE_5339)) (not (= (tptp.app BOUND_VARIABLE_5339 (tptp.cons BOUND_VARIABLE_5337 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5700 (tptp.cons BOUND_VARIABLE_5698 tptp.nil)) BOUND_VARIABLE_5706) (tptp.cons BOUND_VARIABLE_5708 tptp.nil)) BOUND_VARIABLE_5704))) (not (tptp.ssList BOUND_VARIABLE_5352)) (not (= (tptp.app (tptp.cons Z tptp.nil) BOUND_VARIABLE_5352) BOUND_VARIABLE_5741))))))))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (not _let_38))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_40) :args (_let_42))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_38))) (REFL :args (_let_39)) :args _let_41)) _let_40 :args (_let_39 true _let_38)))) (let ((_let_44 (REFL :args (_let_37)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 2)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_11))) :args _let_41)) :args ((or _let_11 _let_37))) _let_43 :args (_let_11 true _let_37)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 3)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_12))) :args _let_41)) :args ((or _let_12 _let_37))) _let_43 :args (_let_12 true _let_37)))) (let ((_let_47 (forall ((U $$unsorted) (BOUND_VARIABLE_3704 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem BOUND_VARIABLE_3704)) (not (tptp.leq U BOUND_VARIABLE_3704)) (not (tptp.leq BOUND_VARIABLE_3704 U)) (= U BOUND_VARIABLE_3704))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (not _let_14))) (let ((_let_50 (and _let_49 _let_15))) (let ((_let_51 (tptp.lt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_52 (= _let_51 _let_50))) (let ((_let_53 (or _let_18 _let_19 _let_52))) (let ((_let_54 (forall ((U $$unsorted) (BOUND_VARIABLE_5180 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem BOUND_VARIABLE_5180)) (= (tptp.lt U BOUND_VARIABLE_5180) (and (not (= U BOUND_VARIABLE_5180)) (tptp.leq U BOUND_VARIABLE_5180))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (tptp.app _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_57 (tptp.app _let_24 _let_56))) (let ((_let_58 (= _let_57 (tptp.app (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_18 _let_19 _let_51 _let_32 _let_30 _let_28 _let_59))) (let ((_let_61 (forall ((V $$unsorted) (BOUND_VARIABLE_3066 $$unsorted) (BOUND_VARIABLE_3064 $$unsorted) (BOUND_VARIABLE_3062 $$unsorted) (BOUND_VARIABLE_3060 $$unsorted)) (or (not (tptp.ssItem V)) (not (tptp.ssItem BOUND_VARIABLE_3060)) (tptp.lt V BOUND_VARIABLE_3060) (not (tptp.ssList BOUND_VARIABLE_3066)) (not (tptp.ssList BOUND_VARIABLE_3062)) (not (tptp.ssList BOUND_VARIABLE_3064)) (not (= (tptp.app (tptp.app BOUND_VARIABLE_3066 (tptp.cons V BOUND_VARIABLE_3062)) (tptp.cons BOUND_VARIABLE_3060 BOUND_VARIABLE_3064)) (tptp.app (tptp.app (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.app (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.nil) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))))) (let ((_let_62 (tptp.strictorderedP _let_57))) (let ((_let_63 (= _let_62 _let_61))) (let ((_let_64 (tptp.ssList _let_57))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.strictorderedP U) (forall ((V $$unsorted) (BOUND_VARIABLE_3066 $$unsorted) (BOUND_VARIABLE_3064 $$unsorted) (BOUND_VARIABLE_3062 $$unsorted) (BOUND_VARIABLE_3060 $$unsorted)) (or (not (tptp.ssItem V)) (not (tptp.ssItem BOUND_VARIABLE_3060)) (tptp.lt V BOUND_VARIABLE_3060) (not (tptp.ssList BOUND_VARIABLE_3066)) (not (tptp.ssList BOUND_VARIABLE_3062)) (not (tptp.ssList BOUND_VARIABLE_3064)) (not (= U (tptp.app (tptp.app BOUND_VARIABLE_3066 (tptp.cons V BOUND_VARIABLE_3062)) (tptp.cons BOUND_VARIABLE_3060 BOUND_VARIABLE_3064))))))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (= _let_25 _let_57))) (let ((_let_70 (tptp.ssList _let_21))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.ssList _let_24))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71 _let_28 _let_69))) (let ((_let_75 (forall ((U $$unsorted) (BOUND_VARIABLE_4898 $$unsorted) (BOUND_VARIABLE_4896 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_4896)) (not (tptp.ssList BOUND_VARIABLE_4898)) (= (tptp.app (tptp.app U BOUND_VARIABLE_4896) BOUND_VARIABLE_4898) (tptp.app U (tptp.app BOUND_VARIABLE_4896 BOUND_VARIABLE_4898))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 ((tptp.app (tptp.app U BOUND_VARIABLE_4896) BOUND_VARIABLE_4898)))) (let ((_let_79 (not _let_8))) (let ((_let_80 (or _let_79 _let_19 _let_70))) (let ((_let_81 (forall ((U $$unsorted) (BOUND_VARIABLE_3366 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_3366)) (tptp.ssList (tptp.cons BOUND_VARIABLE_3366 U)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.cons BOUND_VARIABLE_3366 U)))) (let ((_let_85 (ASSUME :args (_let_8)))) (let ((_let_86 (tptp.ssList _let_23))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_30 _let_72))) (let ((_let_89 (forall ((U $$unsorted) (BOUND_VARIABLE_3624 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3624)) (tptp.ssList (tptp.app U BOUND_VARIABLE_3624)))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 ((tptp.app U BOUND_VARIABLE_3624)))) (let ((_let_93 (tptp.ssList _let_22))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_32 _let_94 _let_86))) (let ((_let_96 (or _let_79 _let_18 _let_93))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_79 _let_18 _let_93 (not _let_96)))) _let_85 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_96 false _let_81)) :args (_let_93 false _let_8 false _let_11 false _let_96)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 5)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_41)) :args ((or _let_31 _let_37))) _let_43 :args (_let_31 true _let_37)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 6)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_41)) :args ((or _let_29 _let_37))) _let_43 :args (_let_29 true _let_37)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 8)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_41)) :args ((or _let_27 _let_37))) _let_43 :args (_let_27 true _let_37)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_28 _let_73 _let_71 _let_69 (not _let_74)))) _let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_30 _let_87 _let_72 (not _let_88)))) _let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_32 _let_94 _let_86 (not _let_95)))) _let_98 _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_91)) _let_90 :args (_let_95 false _let_89)) :args (_let_86 false _let_31 false _let_93 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_91)) _let_90 :args (_let_88 false _let_89)) :args (_let_72 false _let_29 false _let_86 false _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_19 _let_70 (not _let_80)))) _let_85 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_80 false _let_81)) :args (_let_70 false _let_8 false _let_12 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_21 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_77)) _let_76 :args (_let_74 false _let_75)) :args (_let_69 false _let_27 false _let_72 false _let_70 false _let_74)))) (let ((_let_102 (and _let_35 _let_69))) (let ((_let_103 (_let_35 _let_69))) (let ((_let_104 (ASSUME :args (_let_35)))) (let ((_let_105 (ASSUME :args (_let_69)))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (and _let_33 _let_69))) (let ((_let_108 (_let_33 _let_69))) (let ((_let_109 (ASSUME :args (_let_33)))) (let ((_let_110 (_let_61))) (let ((_let_111 (tptp.app tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_112 (= _let_56 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_111)))) (let ((_let_113 (tptp.app tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_114 (tptp.app _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_115 (= _let_114 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_113)))) (let ((_let_116 (= _let_24 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_114)))) (let ((_let_117 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_111))) (let ((_let_118 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_113))) (let ((_let_119 (or _let_28 _let_79 _let_19 _let_112))) (let ((_let_120 (forall ((U $$unsorted) (BOUND_VARIABLE_3666 $$unsorted) (BOUND_VARIABLE_3664 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3664)) (not (tptp.ssItem BOUND_VARIABLE_3666)) (= (tptp.cons BOUND_VARIABLE_3666 (tptp.app BOUND_VARIABLE_3664 U)) (tptp.app (tptp.cons BOUND_VARIABLE_3666 BOUND_VARIABLE_3664) U)))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 (or _let_30 _let_79 _let_18 _let_115))) (let ((_let_124 (or _let_32 _let_94 _let_30 _let_116))) (let ((_let_125 (or _let_28 _let_117))) (let ((_let_126 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (_let_126))) (let ((_let_129 ((not (= (tptp.ssList U) false))))) (let ((_let_130 (or _let_30 _let_118))) (let ((_let_131 (and _let_118 _let_117 _let_116 _let_115 _let_112))) (let ((_let_132 (APPLY_UF tptp.app))) (let ((_let_133 (APPLY_UF tptp.cons))) (let ((_let_134 (ASSUME :args (_let_117)))) (let ((_let_135 (ASSUME :args (_let_112)))) (let ((_let_136 (ASSUME :args (_let_118)))) (let ((_let_137 (ASSUME :args (_let_115)))) (let ((_let_138 (ASSUME :args (_let_116)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_52)) :args ((or _let_50 (not _let_51) (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_18 _let_19 _let_32 _let_30 _let_28 _let_51 _let_59 (not _let_60)))) _let_45 _let_46 _let_98 _let_99 _let_100 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_136 _let_137 _let_138 _let_134 _let_135) (SCOPE (CONG (TRANS (SYMM (SYMM _let_138)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) (TRANS (SYMM (SYMM _let_137)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (SYMM _let_136) :args _let_133)) :args _let_132)) (TRANS (SYMM (SYMM _let_135)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (SYMM _let_134) :args _let_133)) :args _let_132) :args (_let_118 _let_115 _let_116 _let_117 _let_112))) :args (_let_118 _let_117 _let_116 _let_115 _let_112))) :args (true _let_131)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_30 _let_118 (not _let_130)))) _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_128)) _let_127 :args (_let_130 false _let_126)) :args (_let_118 false _let_29 false _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_28 _let_117 (not _let_125)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_128)) _let_127 :args (_let_125 false _let_126)) :args (_let_117 false _let_27 false _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_32 _let_30 _let_94 _let_116 (not _let_124)))) _let_98 _let_99 _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_77)) _let_76 :args (_let_124 false _let_75)) :args (_let_116 false _let_31 false _let_29 false _let_93 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_79 _let_18 _let_30 _let_115 (not _let_123)))) _let_85 _let_45 _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.nil QUANTIFIERS_INST_CBQI_PROP)) :args _let_122))) _let_121 :args (_let_123 false _let_120)) :args (_let_115 false _let_8 false _let_11 false _let_29 false _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_79 _let_19 _let_28 _let_112 (not _let_119)))) _let_85 _let_46 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.nil QUANTIFIERS_INST_CBQI_PROP)) :args _let_122))) _let_121 :args (_let_119 false _let_120)) :args (_let_112 false _let_8 false _let_12 false _let_27 false _let_119)) :args (_let_58 false _let_118 false _let_117 false _let_116 false _let_115 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_110) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_110))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or _let_61 (not _let_62) (not _let_63)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_107)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_105) (SCOPE (TRUE_ELIM (TRANS (CONG _let_106 :args (APPLY_UF tptp.strictorderedP)) (TRUE_INTRO _let_109))) :args _let_108)) :args _let_108)) :args (true _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_41)) :args ((or _let_33 _let_37))) _let_43 :args (_let_33 true _let_37)) _let_101 :args (_let_62 false _let_33 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_63 (not _let_66)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_102)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_104 _let_105) (SCOPE (TRUE_ELIM (TRANS (CONG _let_106 :args (APPLY_UF tptp.ssList)) (TRUE_INTRO _let_104))) :args _let_103)) :args _let_103)) :args (true _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_41)) :args ((or _let_35 _let_37))) _let_43 :args (_let_35 true _let_37)) _let_101 :args (_let_64 false _let_35 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_57 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_67)))) _let_68 :args (_let_66 false _let_67)) :args (_let_63 false _let_64 false _let_66)) :args (_let_61 false _let_62 false _let_63)) :args (_let_60 false _let_61)) :args (_let_51 false _let_11 false _let_12 false _let_31 false _let_29 false _let_27 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_18 _let_19 _let_52 (not _let_53)))) _let_45 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leq U BOUND_VARIABLE_5180)))) :args (_let_54)))) _let_55 :args (_let_53 false _let_54)) :args (_let_52 false _let_11 false _let_12 false _let_53)) :args (_let_50 false _let_51 false _let_52)))) (let ((_let_140 (not _let_50))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_18 _let_19 _let_17 _let_16 _let_14 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_50 1)) :args ((or _let_15 _let_140))) _let_139 :args (_let_15 false _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_50 0)) :args ((or _let_49 _let_140))) _let_139 :args (_let_49 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_47))) _let_48 :args (_let_20 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 4)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) :args _let_41)) :args ((or _let_13 _let_37))) _let_43 :args (_let_13 true _let_37)) _let_46 _let_45 :args (false false _let_15 true _let_14 false _let_20 false _let_13 false _let_12 false _let_11)) :args ((forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.neq U V) (not (= U V))))))) (exists ((U $$unsorted)) (and (tptp.ssItem U) (exists ((V $$unsorted)) (and (tptp.ssItem V) (not (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.memberP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (exists ((X $$unsorted)) (and (tptp.ssList X) (= (tptp.app W (tptp.cons V X)) U)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.singletonP U) (exists ((V $$unsorted)) (and (tptp.ssItem V) (= (tptp.cons V tptp.nil) U)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.frontsegP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (= (tptp.app V W) U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.rearsegP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (= (tptp.app W V) U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.segmentP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (exists ((X $$unsorted)) (and (tptp.ssList X) (= (tptp.app (tptp.app W V) X) U)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.cyclefreeP 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 $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (not (and (tptp.leq V W) (tptp.leq W V))))))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.totalorderP 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 $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (or (tptp.leq V W) (tptp.leq W V)))))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.strictorderP 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 $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (or (tptp.lt V W) (tptp.lt W V)))))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.totalorderedP 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 $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (tptp.leq V W))))))))))))))) _let_10 (forall ((U $$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))))))) _let_9 _let_8 (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 $$unsorted)) (=> (tptp.ssItem V) (= (tptp.tl (tptp.cons V U)) U))))) _let_7 _let_6 _let_5 _let_4 (forall ((U $$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 $$unsorted)) (=> (tptp.ssItem V) (= (tptp.cons V U) (tptp.app (tptp.cons V tptp.nil) U)))))) _let_3 (forall ((U $$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))))))) _let_2 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 76.19/76.64 )
% 76.19/76.64 % SZS output end Proof for SWC160+1
% 76.19/76.64 % cvc5---1.0.5 exiting
% 76.19/76.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------