TSTP Solution File: SYN067-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 : Fri Sep 1 02:01:14 EDT 2023
% Result : Unsatisfiable 10.50s 10.85s
% Output : Proof 10.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 18:21:47 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.U1p2GzP1zs/cvc5---1.0.5_18667.p...
% 0.22/0.54 ------- get file name : TPTP file name is SYN067-1
% 0.22/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18667.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.48/10.70 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.50/10.85 % SZS status Unsatisfiable for SYN067-1
% 10.50/10.85 % SZS output start Proof for SYN067-1
% 10.50/10.87 (
% 10.50/10.87 (let ((_let_1 (forall ((X9 $$unsorted) (X10 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))))) (let ((_let_2 (forall ((X9 $$unsorted) (X10 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (not (tptp.big_p tptp.c4)) (tptp.big_r tptp.c4 tptp.c3))))) (let ((_let_3 (forall ((X9 $$unsorted) (X10 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (not (tptp.big_p tptp.c4)) (tptp.big_p tptp.c3))))) (let ((_let_4 (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_r tptp.c2 tptp.c1) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))))) (let ((_let_5 (tptp.big_r tptp.c4 tptp.c3))) (let ((_let_6 (tptp.big_p tptp.c4))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.big_r tptp.c2 tptp.c1))) (let ((_let_9 (tptp.big_p tptp.c2))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 _let_7 _let_5))) (let ((_let_12 (tptp.big_p tptp.c3))) (let ((_let_13 (or _let_10 _let_8 _let_7 _let_12))) (let ((_let_14 (tptp.big_p tptp.a))) (let ((_let_15 (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_p tptp.c1) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))))) (let ((_let_16 (tptp.big_p tptp.c1))) (let ((_let_17 (or _let_10 _let_16 _let_7 _let_5))) (let ((_let_18 (or _let_10 _let_16 _let_7 _let_12))) (let ((_let_19 (or _let_14 _let_14 _let_14))) (let ((_let_20 (forall ((X8 $$unsorted) (X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r (tptp.f5 X1) (tptp.f6 X1))))))) (let ((_let_21 (forall ((X8 $$unsorted) (X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r X1 (tptp.f5 X1))))))) (let ((_let_22 (forall ((X8 $$unsorted) (X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_p (tptp.f6 X1))))))) (let ((_let_23 (forall ((X8 $$unsorted) (X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r (tptp.f5 X1) (tptp.f6 X1))))))) (let ((_let_24 (forall ((X8 $$unsorted) (X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r X1 (tptp.f5 X1))))))) (let ((_let_25 (forall ((X8 $$unsorted) (X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_p (tptp.f6 X1))))))) (let ((_let_26 (forall ((X8 $$unsorted) (X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_p (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r (tptp.f5 X1) (tptp.f6 X1))))))) (let ((_let_27 (forall ((X8 $$unsorted) (X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_p (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r X1 (tptp.f5 X1))))))) (let ((_let_28 (forall ((X8 $$unsorted) (X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_p (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_p (tptp.f6 X1))))))) (let ((_let_29 (forall ((X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r (tptp.f5 X1) (tptp.f6 X1))))))) (let ((_let_30 (forall ((X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r X1 (tptp.f5 X1))))))) (let ((_let_31 (forall ((X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_p (tptp.f6 X1))))))) (let ((_let_32 (forall ((X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_r (tptp.f3 X1) (tptp.f4 X1))))))) (let ((_let_33 (forall ((X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_r X1 (tptp.f3 X1))))))) (let ((_let_34 (forall ((X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_p (tptp.f4 X1))))))) (let ((_let_35 (forall ((X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r (tptp.f5 X1) (tptp.f6 X1))))))) (let ((_let_36 (forall ((X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r X1 (tptp.f5 X1))))))) (let ((_let_37 (forall ((X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_p (tptp.f6 X1))))))) (let ((_let_38 (forall ((X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (tptp.big_p X1) (tptp.big_r (tptp.f3 X1) (tptp.f4 X1))))))) (let ((_let_39 (forall ((X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (tptp.big_p X1) (tptp.big_r X1 (tptp.f3 X1))))))) (let ((_let_40 (forall ((X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (tptp.big_p X1) (tptp.big_p (tptp.f4 X1))))))) (let ((_let_41 (forall ((X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r (tptp.f5 X1) (tptp.f6 X1))))))) (let ((_let_42 (forall ((X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r X1 (tptp.f5 X1))))))) (let ((_let_43 (forall ((X7 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)) _let_1 (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_p (tptp.f6 X1))))))) (let ((_let_44 (forall ((X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_r (tptp.f3 X1) (tptp.f4 X1))))))) (let ((_let_45 (forall ((X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_r X1 (tptp.f3 X1))))))) (let ((_let_46 (forall ((X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_p (tptp.f4 X1))))))) (let ((_let_47 (tptp.f6 tptp.c4))) (let ((_let_48 (tptp.big_p _let_47))) (let ((_let_49 (tptp.f5 tptp.c4))) (let ((_let_50 (tptp.big_r _let_49 _let_47))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.big_r tptp.c4 _let_49))) (let ((_let_53 (not _let_52))) (let ((_let_54 (not _let_48))) (let ((_let_55 (or _let_54 _let_53 _let_51))) (let ((_let_56 (not _let_5))) (let ((_let_57 (not _let_12))) (let ((_let_58 (or _let_57 _let_56 _let_48))) (let ((_let_59 (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_p (tptp.f6 X1)))))) (let ((_let_60 (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)))))) (let ((_let_61 (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)))))) (let ((_let_62 (tptp.f2 tptp.c4))) (let ((_let_63 (tptp.big_p _let_62))) (let ((_let_64 (or _let_6 _let_63))) (let ((_let_65 (tptp.f2 tptp.c2))) (let ((_let_66 (tptp.big_p _let_65))) (let ((_let_67 (or _let_9 _let_66))) (let ((_let_68 (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)))))) (let ((_let_69 (forall ((X1 $$unsorted)) (or (tptp.big_p X1) (tptp.big_p (tptp.f4 X1)))))) (let ((_let_70 (tptp.f4 tptp.c4))) (let ((_let_71 (tptp.big_p _let_70))) (let ((_let_72 (or _let_6 _let_71))) (let ((_let_73 (tptp.f4 tptp.c2))) (let ((_let_74 (tptp.big_p _let_73))) (let ((_let_75 (or _let_9 _let_74))) (let ((_let_76 (forall ((X1 $$unsorted)) (or (tptp.big_p X1) (tptp.big_r X1 (tptp.f3 X1)))))) (let ((_let_77 (forall ((X1 $$unsorted)) (or (tptp.big_p X1) (tptp.big_r (tptp.f3 X1) (tptp.f4 X1)))))) (let ((_let_78 (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r X1 (tptp.f5 X1)))))) (let ((_let_79 (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r (tptp.f5 X1) (tptp.f6 X1)))))) (let ((_let_80 (tptp.f3 tptp.c4))) (let ((_let_81 (tptp.big_r tptp.c4 _let_80))) (let ((_let_82 (or _let_6 _let_81))) (let ((_let_83 (tptp.f3 tptp.c2))) (let ((_let_84 (tptp.big_r tptp.c2 _let_83))) (let ((_let_85 (or _let_9 _let_84))) (let ((_let_86 (tptp.big_r _let_80 _let_70))) (let ((_let_87 (or _let_6 _let_86))) (let ((_let_88 (tptp.big_r _let_83 _let_73))) (let ((_let_89 (or _let_9 _let_88))) (let ((_let_90 (tptp.f6 tptp.c2))) (let ((_let_91 (tptp.big_p _let_90))) (let ((_let_92 (not _let_8))) (let ((_let_93 (not _let_16))) (let ((_let_94 (or _let_93 _let_92 _let_91))) (let ((_let_95 (or _let_57 _let_56 _let_52))) (let ((_let_96 (tptp.f5 tptp.c2))) (let ((_let_97 (tptp.big_r tptp.c2 _let_96))) (let ((_let_98 (or _let_93 _let_92 _let_97))) (let ((_let_99 (or _let_57 _let_56 _let_50))) (let ((_let_100 (tptp.big_r _let_96 _let_90))) (let ((_let_101 (or _let_93 _let_92 _let_100))) (let ((_let_102 (forall ((X9 $$unsorted) (X10 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)))))) (let ((_let_103 (not _let_100))) (let ((_let_104 (not _let_97))) (let ((_let_105 (not _let_91))) (let ((_let_106 (or _let_105 _let_104 _let_103))) (let ((_let_107 (not _let_88))) (let ((_let_108 (not _let_84))) (let ((_let_109 (not _let_74))) (let ((_let_110 (or _let_109 _let_108 _let_107))) (let ((_let_111 (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))))) (let ((_let_112 (not _let_86))) (let ((_let_113 (not _let_81))) (let ((_let_114 (not _let_71))) (let ((_let_115 (or _let_114 _let_113 _let_112))) (let ((_let_116 (_let_61))) (let ((_let_117 (tptp.c4 QUANTIFIERS_INST_ENUM))) (let ((_let_118 (ASSUME :args _let_116))) (let ((_let_119 (tptp.c2 QUANTIFIERS_INST_ENUM))) (let ((_let_120 (tptp.f1 tptp.c4))) (let ((_let_121 (tptp.big_r tptp.c4 _let_120))) (let ((_let_122 (or _let_6 _let_121))) (let ((_let_123 (tptp.f1 tptp.c2))) (let ((_let_124 (tptp.big_r tptp.c2 _let_123))) (let 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true (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)))) true (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)))) false (forall ((X1 $$unsorted)) (or (tptp.big_p X1) (tptp.big_p (tptp.f4 X1)))) false _let_14 true _let_126 false _let_125 false _let_122)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args _let_119) :args _let_116)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args _let_117) :args _let_116)) :args ((not _let_61) false _let_50 false _let_52 false _let_48 false _let_5 false _let_12 false _let_6 false _let_115 false _let_55 false _let_111 true _let_16 false _let_8 false _let_9 false _let_110 false _let_106 false _let_102 false _let_101 false _let_99 false _let_98 false _let_95 false _let_94 false _let_58 false _let_89 false _let_87 false _let_85 false _let_82 false _let_79 false _let_78 false _let_59 false _let_77 false _let_76 false _let_75 false _let_72 false (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r (tptp.f5 X1) (tptp.f6 X1)))) false _let_14 false (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_r X1 (tptp.f5 X1)))) false _let_14 false (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.big_p X2)) (not (tptp.big_r X1 X2)) (tptp.big_p (tptp.f6 X1)))) false _let_14 false (forall ((X1 $$unsorted)) (or (tptp.big_p X1) (tptp.big_r (tptp.f3 X1) (tptp.f4 X1)))) false _let_14 false (forall ((X1 $$unsorted)) (or (tptp.big_p X1) (tptp.big_r X1 (tptp.f3 X1)))) false _let_14 false _let_69 true (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)))) true (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)))) true (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)))) true (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)))) true (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_r X7 (tptp.f1 X7)))) false (forall ((X1 $$unsorted)) (or (tptp.big_p X1) (tptp.big_p (tptp.f4 X1)))) false _let_14 true _let_68 false _let_67 false _let_64)))) (let ((_let_283 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) _let_201 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_61 (= X7 X7)))) _let_282 :args ((not _let_60) true _let_61)) :args (_let_59 false _let_14 true _let_60)))) (let ((_let_284 (MACRO_RESOLUTION_TRUST _let_205 _let_283 :args (_let_58 false _let_59)))) (let ((_let_285 (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)))))) (let ((_let_286 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) _let_201 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_61 (= X7 X7)))) _let_282 :args ((not _let_285) true _let_61)) :args (_let_77 false _let_14 true _let_285)))) (let ((_let_287 (MACRO_RESOLUTION_TRUST _let_258 _let_286 :args (_let_87 false _let_77)))) (let ((_let_288 (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)))))) (let ((_let_289 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) _let_201 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_61 (= X7 X7)))) _let_282 :args ((not _let_288) true _let_61)) :args (_let_79 false _let_14 true _let_288)))) (let ((_let_290 (MACRO_RESOLUTION_TRUST _let_211 _let_289 :args (_let_99 false _let_79)))) (let ((_let_291 (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)))))) (let ((_let_292 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))) _let_201 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_61 (= X7 X7)))) _let_282 :args ((not _let_291) true _let_61)) :args (_let_78 false _let_14 true _let_291)))) (let ((_let_293 (MACRO_RESOLUTION_TRUST _let_208 _let_292 :args (_let_95 false _let_78)))) (let ((_let_294 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) _let_201 _let_282 :args (_let_69 false _let_14 true _let_61)))) (let ((_let_295 (MACRO_RESOLUTION_TRUST _let_250 _let_294 :args (_let_72 false _let_69)))) (let ((_let_296 (forall ((X7 $$unsorted)) (or (tptp.big_p X7) (tptp.big_p (tptp.f2 X7)))))) (let ((_let_297 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))) _let_201 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_61 (= X7 X7)))) _let_282 :args ((not _let_296) true _let_61)) :args (_let_76 false _let_14 true _let_296)))) (let ((_let_298 (MACRO_RESOLUTION_TRUST _let_254 _let_297 :args (_let_82 false _let_76)))) (let ((_let_299 (REORDERING (CNF_OR_NEG :args (_let_64 0)) :args ((or _let_7 _let_64))))) (let ((_let_300 (MACRO_RESOLUTION_TRUST _let_278 _let_287 _let_298 _let_295 _let_269 _let_299 _let_175 _let_280 _let_298 _let_295 _let_293 _let_284 _let_290 _let_287 _let_174 :args (_let_102 false _let_87 false _let_82 false _let_72 false _let_115 true _let_6 false _let_111 true _let_64 false _let_82 false _let_72 false _let_95 false _let_58 false _let_99 false _let_87 true _let_172)))) (let ((_let_301 (MACRO_RESOLUTION_TRUST _let_276 (MACRO_RESOLUTION_TRUST _let_251 _let_294 :args (_let_75 false _let_69)) (MACRO_RESOLUTION_TRUST _let_255 _let_297 :args (_let_85 false _let_76)) (MACRO_RESOLUTION_TRUST _let_259 _let_286 :args (_let_89 false _let_77)) (MACRO_RESOLUTION_TRUST _let_271 _let_300 :args (_let_110 false _let_102)) :args (_let_9 false _let_75 false _let_85 false _let_89 false _let_110)))) (let ((_let_302 (MACRO_RESOLUTION_TRUST _let_237 (MACRO_RESOLUTION_TRUST _let_278 _let_287 _let_298 _let_295 _let_299 _let_269 _let_281 _let_298 _let_295 _let_293 _let_284 _let_290 _let_287 _let_301 _let_195 _let_301 :args (_let_8 false _let_87 false _let_82 false _let_72 true _let_6 false _let_115 true _let_64 false _let_82 false _let_72 false _let_95 false _let_58 false _let_99 false _let_87 false _let_9 false _let_111 false _let_9)) (MACRO_RESOLUTION_TRUST _let_228 _let_289 :args (_let_101 false _let_79)) (MACRO_RESOLUTION_TRUST _let_229 _let_292 :args (_let_98 false _let_78)) (MACRO_RESOLUTION_TRUST _let_230 _let_283 :args (_let_94 false _let_59)) (MACRO_RESOLUTION_TRUST _let_231 _let_300 :args (_let_106 false _let_102)) :args (_let_93 false _let_8 false _let_101 false _let_98 false _let_94 false _let_106)))) (let ((_let_303 (MACRO_RESOLUTION_TRUST _let_198 _let_301 _let_302 :args (_let_111 false _let_9 true _let_16)))) (let ((_let_304 (MACRO_RESOLUTION_TRUST _let_278 _let_295 _let_298 _let_287 (MACRO_RESOLUTION_TRUST _let_269 _let_303 :args (_let_115 false _let_111)) :args (_let_6 false _let_72 false _let_82 false _let_87 false _let_115)))) (let ((_let_305 (MACRO_RESOLUTION_TRUST _let_200 _let_304 _let_301 _let_302 :args (_let_5 false _let_6 false _let_9 true _let_16)))) (let ((_let_306 (MACRO_RESOLUTION_TRUST _let_199 _let_304 _let_301 _let_302 :args (_let_12 false _let_6 false _let_9 true _let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_224 (MACRO_RESOLUTION_TRUST _let_223 _let_306 _let_305 _let_290 :args (_let_50 false _let_12 false _let_5 false _let_99)) (MACRO_RESOLUTION_TRUST _let_222 _let_306 _let_305 _let_293 :args (_let_52 false _let_12 false _let_5 false _let_95)) (MACRO_RESOLUTION_TRUST _let_225 _let_303 :args (_let_55 false _let_111)) (MACRO_RESOLUTION_TRUST _let_221 _let_306 _let_305 _let_284 :args (_let_48 false _let_12 false _let_5 false _let_58)) :args (false false _let_50 false _let_52 false _let_55 false _let_48)) :args (_let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 (forall ((X8 $$unsorted) (X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_p (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_p (tptp.f4 X1))))) (forall ((X8 $$unsorted) (X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_p (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_r X1 (tptp.f3 X1))))) (forall ((X8 $$unsorted) (X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_p (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_r (tptp.f3 X1) (tptp.f4 X1))))) _let_28 _let_27 _let_26 (forall ((X8 $$unsorted) (X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (tptp.big_p X1) (tptp.big_p (tptp.f4 X1))))) (forall ((X8 $$unsorted) (X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (tptp.big_p X1) (tptp.big_r X1 (tptp.f3 X1))))) (forall ((X8 $$unsorted) (X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r X7 (tptp.f1 X7)) _let_1 (tptp.big_p X1) (tptp.big_r (tptp.f3 X1) (tptp.f4 X1))))) _let_25 _let_24 _let_23 (forall ((X8 $$unsorted) (X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_p (tptp.f4 X1))))) (forall ((X8 $$unsorted) (X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_r X1 (tptp.f3 X1))))) (forall ((X8 $$unsorted) (X7 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (or _let_1 (not (tptp.big_p X8)) (not (tptp.big_r X7 X8)) (tptp.big_r (tptp.f1 X7) (tptp.f2 X7)) _let_1 (tptp.big_p X1) (tptp.big_r (tptp.f3 X1) (tptp.f4 X1))))) _let_22 _let_21 _let_20 _let_19 (or _let_14 _let_14 _let_12) (or _let_14 _let_14 _let_5) (forall ((X5 $$unsorted) (X6 $$unsorted)) (let ((_let_1 (tptp.big_p tptp.a))) (or _let_1 _let_1 (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5))))) (or _let_14 _let_7 _let_14) (or _let_14 _let_7 _let_12) (or _let_14 _let_7 _let_5) (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (tptp.big_p tptp.a) (not (tptp.big_p tptp.c4)) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (let ((_let_1 (tptp.big_p tptp.a))) (or _let_1 (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) _let_1))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (tptp.big_p tptp.a) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_p tptp.c3))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (tptp.big_p tptp.a) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_r tptp.c4 tptp.c3))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (tptp.big_p tptp.a) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))) (or _let_10 _let_16 _let_14 _let_14) (or _let_10 _let_16 _let_14 _let_12) (or _let_10 _let_16 _let_14 _let_5) (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_p tptp.c1) (tptp.big_p tptp.a) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))) (or _let_10 _let_16 _let_7 _let_14) _let_18 _let_17 (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_p tptp.c1) (not (tptp.big_p tptp.c4)) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_p tptp.c1) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_p tptp.a))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_p tptp.c1) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_p tptp.c3))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_p tptp.c1) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_r tptp.c4 tptp.c3))) _let_15 (or _let_10 _let_8 _let_14 _let_14) (or _let_10 _let_8 _let_14 _let_12) (or _let_10 _let_8 _let_14 _let_5) (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_r tptp.c2 tptp.c1) (tptp.big_p tptp.a) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))) (or _let_10 _let_8 _let_7 _let_14) _let_13 _let_11 (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_r tptp.c2 tptp.c1) (not (tptp.big_p tptp.c4)) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_r tptp.c2 tptp.c1) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_p tptp.a))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_r tptp.c2 tptp.c1) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_p tptp.c3))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (tptp.big_p tptp.c2)) (tptp.big_r tptp.c2 tptp.c1) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_r tptp.c4 tptp.c3))) _let_4 (forall ((X9 $$unsorted) (X10 $$unsorted)) (let ((_let_1 (tptp.big_p tptp.a))) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) _let_1 _let_1))) (forall ((X9 $$unsorted) (X10 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (tptp.big_p tptp.a) (tptp.big_p tptp.c3))) (forall ((X9 $$unsorted) (X10 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (tptp.big_p tptp.a) (tptp.big_r tptp.c4 tptp.c3))) (forall ((X9 $$unsorted) (X10 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (tptp.big_p tptp.a) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))) (forall ((X9 $$unsorted) (X10 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (not (tptp.big_p tptp.c4)) (tptp.big_p tptp.a))) _let_3 _let_2 (forall ((X9 $$unsorted) (X10 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (not (tptp.big_p tptp.c4)) (not (tptp.big_p X5)) (not (tptp.big_r tptp.c4 X6)) (not (tptp.big_r X6 X5)))) (forall ((X9 $$unsorted) (X10 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_p tptp.a))) (forall ((X9 $$unsorted) (X10 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_p tptp.c3))) (forall ((X9 $$unsorted) (X10 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (tptp.big_p X9)) (not (tptp.big_r tptp.c2 X10)) (not (tptp.big_r X10 X9)) (not (tptp.big_p X3)) (not (tptp.big_r tptp.c4 X4)) (not (tptp.big_r X4 X3)) (tptp.big_r tptp.c4 tptp.c3))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.50/10.87 )
% 10.50/10.87 % SZS output end Proof for SYN067-1
% 10.50/10.87 % cvc5---1.0.5 exiting
% 10.50/10.87 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------