TSTP Solution File: SYO634-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 04:16:46 EDT 2023
% Result : Unsatisfiable 0.21s 0.71s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 05:52:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ZPH8bytxCZ/cvc5---1.0.5_7686.p...
% 0.21/0.51 ------- get file name : TPTP file name is SYO634-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7686.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.71 % SZS status Unsatisfiable for SYO634-1
% 0.21/0.71 % SZS output start Proof for SYO634-1
% 0.21/0.72 (
% 0.21/0.72 (let ((_let_1 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (A_8 $$unsorted) (B_0 $$unsorted) (A_5 $$unsorted) (A_7 $$unsorted) (A_2 $$unsorted) (A_6 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (tptp.s _let_8))) (let ((_let_10 (tptp.s _let_9))) (or (not (|tptp.'E'| (tptp.f A_1) _let_8)) (not (|tptp.'E'| (tptp.f A_4) _let_5)) (not (|tptp.'E'| (tptp.f A_8) _let_1)) (not (|tptp.'E'| (tptp.f B_0) _let_10)) (not (|tptp.'E'| (tptp.f A_5) _let_4)) (not (|tptp.'E'| (tptp.f A_7) _let_2)) (not (|tptp.'E'| (tptp.f A_2) _let_7)) (not (|tptp.'E'| (tptp.f A_6) _let_3)) (not (|tptp.'E'| (tptp.f A_0) _let_9)) (not (|tptp.'E'| (tptp.f A_3) _let_6)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s _let_10) K)) |tptp.'0'|))))))))))))))) (let ((_let_2 (forall ((A_1 $$unsorted) (B_0 $$unsorted) (A_2 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))) (let ((_let_2 (tptp.f B_0))) (let ((_let_3 (tptp.s _let_1))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (or (not (|tptp.'E'| (tptp.f A_1) _let_5)) (not (|tptp.'E'| _let_2 (tptp.s _let_6))) (not (|tptp.'E'| (tptp.f A_2) _let_4)) (not (|tptp.'E'| (tptp.f A_0) _let_6)) (not (|tptp.'E'| (tptp.f A_3) _let_3)) (|tptp.'E'| _let_2 _let_1))))))))))) (let ((_let_3 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (B_0 $$unsorted) (A_5 $$unsorted) (A_2 $$unsorted) (A_6 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (tptp.s _let_8))) (or (not (|tptp.'E'| (tptp.f A_1) _let_7)) (not (|tptp.'E'| (tptp.f A_4) _let_4)) (not (|tptp.'E'| (tptp.f B_0) _let_9)) (not (|tptp.'E'| (tptp.f A_5) _let_3)) (not (|tptp.'E'| (tptp.f A_2) _let_6)) (not (|tptp.'E'| (tptp.f A_6) _let_2)) (not (|tptp.'E'| (tptp.f A_0) _let_8)) (not (|tptp.'E'| (tptp.f A_3) _let_5)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s _let_9) K)) _let_1)))))))))))))) (let ((_let_4 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (A_8 $$unsorted) (B_0 $$unsorted) (A_5 $$unsorted) (A_7 $$unsorted) (A_2 $$unsorted) (A_6 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (A_9 $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (tptp.s _let_8))) (or (not (|tptp.'E'| (tptp.f A_1) _let_8)) (not (|tptp.'E'| (tptp.f A_4) _let_5)) (not (|tptp.'E'| (tptp.f A_8) _let_1)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s _let_9))) (not (|tptp.'E'| (tptp.f A_5) _let_4)) (not (|tptp.'E'| (tptp.f A_7) _let_2)) (not (|tptp.'E'| (tptp.f A_2) _let_7)) (not (|tptp.'E'| (tptp.f A_6) _let_3)) (not (|tptp.'E'| (tptp.f A_0) _let_9)) (not (|tptp.'E'| (tptp.f A_3) _let_6)) (not (|tptp.'E'| (tptp.f A_9) |tptp.'0'|))))))))))))))) (let ((_let_5 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (B_0 $$unsorted) (A_5 $$unsorted) (A_2 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s |tptp.'0'|))))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (let ((_let_8 (tptp.s _let_7))) (or (not (|tptp.'E'| (tptp.f A_1) _let_6)) (not (|tptp.'E'| (tptp.f A_4) _let_3)) (not (|tptp.'E'| (tptp.f B_0) _let_8)) (not (|tptp.'E'| (tptp.f A_5) _let_2)) (not (|tptp.'E'| (tptp.f A_2) _let_5)) (not (|tptp.'E'| (tptp.f A_0) _let_7)) (not (|tptp.'E'| (tptp.f A_3) _let_4)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s _let_8) K)) _let_1))))))))))))) (let ((_let_6 (forall ((A_0 $$unsorted) (B_0 $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_2 (tptp.f B_0))) (let ((_let_3 (tptp.s _let_1))) (let ((_let_4 (tptp.s _let_3))) (or (not (|tptp.'E'| (tptp.f A_0) _let_4)) (not (|tptp.'E'| _let_2 (tptp.s _let_4))) (not (|tptp.'E'| (tptp.f A_1) _let_3)) (|tptp.'E'| _let_2 _let_1))))))))) (let ((_let_7 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (B_0 $$unsorted) (A_2 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (or (not (|tptp.'E'| (tptp.f A_1) _let_5)) (not (|tptp.'E'| (tptp.f A_4) _let_2)) (not (|tptp.'E'| (tptp.f B_0) _let_7)) (not (|tptp.'E'| (tptp.f A_2) _let_4)) (not (|tptp.'E'| (tptp.f A_0) _let_6)) (not (|tptp.'E'| (tptp.f A_3) _let_3)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s _let_7) K)) _let_1)))))))))))) (let ((_let_8 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (B_0 $$unsorted) (A_5 $$unsorted) (A_7 $$unsorted) (A_2 $$unsorted) (A_6 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (tptp.s _let_8))) (let ((_let_10 (tptp.s _let_9))) (or (not (|tptp.'E'| (tptp.f A_1) _let_8)) (not (|tptp.'E'| (tptp.f A_4) _let_5)) (not (|tptp.'E'| (tptp.f B_0) _let_10)) (not (|tptp.'E'| (tptp.f A_5) _let_4)) (not (|tptp.'E'| (tptp.f A_7) _let_2)) (not (|tptp.'E'| (tptp.f A_2) _let_7)) (not (|tptp.'E'| (tptp.f A_6) _let_3)) (not (|tptp.'E'| (tptp.f A_0) _let_9)) (not (|tptp.'E'| (tptp.f A_3) _let_6)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s _let_10) K)) _let_1))))))))))))))) (let ((_let_9 (forall ((B_0 $$unsorted)) (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_10 (forall ((A_0 $$unsorted) (B_0 $$unsorted) (A_1 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_2 (tptp.f B_0))) (let ((_let_3 (tptp.s _let_1))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (or (not (|tptp.'E'| (tptp.f A_0) _let_5)) (not (|tptp.'E'| _let_2 (tptp.s _let_5))) (not (|tptp.'E'| (tptp.f A_1) _let_4)) (not (|tptp.'E'| (tptp.f A_2) _let_3)) (|tptp.'E'| _let_2 _let_1)))))))))) (let ((_let_11 (forall ((B $$unsorted)) (|tptp.'E'| (tptp.f B) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_12 (forall ((A_0 $$unsorted) (B_0 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_2 (tptp.f B_0))) (let ((_let_3 (tptp.s _let_1))) (or (not (|tptp.'E'| (tptp.f A_0) _let_3)) (not (|tptp.'E'| _let_2 (tptp.s _let_3))) (|tptp.'E'| _let_2 _let_1)))))))) (let ((_let_13 (forall ((A_8 $$unsorted)) (not (|tptp.'E'| (tptp.f A_8) (tptp.s |tptp.'0'|)))))) (let ((_let_14 (tptp.s |tptp.'0'|))) (let ((_let_15 (tptp.s _let_14))) (let ((_let_16 (tptp.s _let_15))) (let ((_let_17 (tptp.s _let_16))) (let ((_let_18 (tptp.s _let_17))) (let ((_let_19 (tptp.s _let_18))) (let ((_let_20 (tptp.s _let_19))) (let ((_let_21 (tptp.s _let_20))) (let ((_let_22 (tptp.s _let_21))) (let ((_let_23 (tptp.s _let_22))) (let ((_let_24 (tptp.s _let_23))) (let ((_let_25 (|tptp.'AP'| _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (tptp.f _let_25))) (let ((_let_27 (|tptp.'E'| _let_26 _let_14))) (let ((_let_28 (forall ((A_8 $$unsorted)) (not (|tptp.'E'| (tptp.f A_8) (tptp.s |tptp.'0'|)))))) (let ((_let_29 (forall ((A_7 $$unsorted)) (not (|tptp.'E'| (tptp.f A_7) (tptp.s (tptp.s |tptp.'0'|))))))) (let ((_let_30 (|tptp.'E'| _let_26 _let_15))) (let ((_let_31 (not _let_29))) (let ((_let_32 (forall ((K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s |tptp.'0'|)))) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s _let_1))))))))) K)) _let_1))))) (let ((_let_33 (forall ((A_3 $$unsorted)) (not (|tptp.'E'| (tptp.f A_3) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))) (let ((_let_34 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_35 (forall ((A_6 $$unsorted)) (not (|tptp.'E'| (tptp.f A_6) (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_36 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))) (let ((_let_37 (forall ((A_5 $$unsorted)) (not (|tptp.'E'| (tptp.f A_5) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_38 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))))) (let ((_let_39 (forall ((A_4 $$unsorted)) (not (|tptp.'E'| (tptp.f A_4) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_40 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_41 (forall ((A_3 $$unsorted)) (not (|tptp.'E'| (tptp.f A_3) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))) (let ((_let_42 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (|tptp.'E'| _let_42 _let_19))) (let ((_let_44 (not _let_41))) (let ((_let_45 (|tptp.'E'| _let_42 _let_23))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_43))) (let ((_let_48 (forall ((B_0 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_2 (tptp.f B_0))) (or (not (|tptp.'E'| _let_2 (tptp.s (tptp.s (tptp.s (tptp.s _let_1)))))) (|tptp.'E'| _let_2 _let_1))))))) (let ((_let_49 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))) (let ((_let_50 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_51 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_52 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))) (let ((_let_53 (|tptp.'E'| _let_42 _let_20))) (let ((_let_54 (not _let_52))) (let ((_let_55 (or _let_46 _let_53))) (let ((_let_56 (forall ((B_0 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_2 (tptp.f B_0))) (or (not (|tptp.'E'| _let_2 (tptp.s (tptp.s (tptp.s _let_1))))) (|tptp.'E'| _let_2 _let_1))))))) (let ((_let_57 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_58 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_59 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_60 (|tptp.'E'| _let_42 _let_21))) (let ((_let_61 (not _let_59))) (let ((_let_62 (or _let_46 _let_60))) (let ((_let_63 (forall ((B_0 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_2 (tptp.f B_0))) (or (not (|tptp.'E'| _let_2 (tptp.s (tptp.s _let_1)))) (|tptp.'E'| _let_2 _let_1))))))) (let ((_let_64 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_65 (|tptp.'E'| _let_26 _let_22))) (let ((_let_66 (not _let_64))) (let ((_let_67 (_let_9))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (_let_64))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_69) :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_0)))) :args _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_0)))) :args _let_67)) _let_68 :args (_let_65 false _let_9)) :args (_let_66 false _let_65)))) (let ((_let_71 (_let_63))) (let ((_let_72 (_let_11))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B)))) :args _let_72)) _let_73 :args (_let_45 false _let_11)))) (let ((_let_75 (_let_59))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_1)))) :args _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_46 _let_60 (not _let_62)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_71) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_0)))) :args _let_71)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) _let_70 :args (_let_63 true _let_64)) :args (_let_62 false _let_63)) :args (_let_60 false _let_45 false _let_62)) :args (_let_61 false _let_60)))) (let ((_let_77 (_let_56))) (let ((_let_78 (_let_52))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_2)))) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_46 _let_53 (not _let_55)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_77) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_0)))) :args _let_77)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_64 (= A_0 A_0)))) _let_70 :args ((not _let_58) true _let_64)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_59 (= A_1 A_1)))) _let_76 :args ((not _let_57) true _let_59)) :args (_let_56 true _let_58 true _let_57)) :args (_let_55 false _let_56)) :args (_let_53 false _let_45 false _let_55)) :args (_let_54 false _let_53)))) (let ((_let_80 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_52 (= A_2 A_2)))))) (let ((_let_81 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_59 (= A_1 A_1)))))) (let ((_let_82 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_64 (= A_0 A_0)))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_48))) (let ((_let_85 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_84) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_0)))) :args _let_84)))) (let ((_let_86 (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_43 (not _let_47)))))) (let ((_let_87 (_let_41))) (let ((_let_88 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_87) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_3)))) :args _let_87)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST _let_88 (MACRO_RESOLUTION_TRUST _let_86 _let_74 (MACRO_RESOLUTION_TRUST _let_85 (MACRO_RESOLUTION_TRUST _let_83 (MACRO_RESOLUTION_TRUST _let_82 _let_70 :args ((not _let_51) true _let_64)) (MACRO_RESOLUTION_TRUST _let_81 _let_76 :args ((not _let_50) true _let_59)) (MACRO_RESOLUTION_TRUST _let_80 _let_79 :args ((not _let_49) true _let_52)) :args (_let_48 true _let_51 true _let_50 true _let_49)) :args (_let_47 false _let_48)) :args (_let_43 false _let_45 false _let_47)) :args (_let_44 false _let_43)))) (let ((_let_90 (forall ((A_6 $$unsorted)) (not (|tptp.'E'| (tptp.f A_6) (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_91 (|tptp.'E'| _let_26 _let_16))) (let ((_let_92 (not _let_90))) (let ((_let_93 (forall ((K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s |tptp.'0'|))))) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s _let_1)))))))) K)) _let_1))))) (let ((_let_94 (forall ((A_3 $$unsorted)) (not (|tptp.'E'| (tptp.f A_3) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))) (let ((_let_95 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_96 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))) (let ((_let_97 (forall ((A_5 $$unsorted)) (not (|tptp.'E'| (tptp.f A_5) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_98 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))))) (let ((_let_99 (forall ((A_4 $$unsorted)) (not (|tptp.'E'| (tptp.f A_4) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_100 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_101 (forall ((A_5 $$unsorted)) (not (|tptp.'E'| (tptp.f A_5) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_102 (|tptp.'E'| _let_26 _let_17))) (let ((_let_103 (not _let_101))) (let ((_let_104 (forall ((K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s _let_1))))))) K)) _let_1))))) (let ((_let_105 (forall ((A_3 $$unsorted)) (not (|tptp.'E'| (tptp.f A_3) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))) (let ((_let_106 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_107 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))) (let ((_let_108 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))))) (let ((_let_109 (forall ((A_4 $$unsorted)) (not (|tptp.'E'| (tptp.f A_4) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_110 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_111 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))))) (let ((_let_112 (not _let_111))) (let ((_let_113 (_let_111))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_113) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_0)))) :args _let_113)) _let_74 :args (_let_112 false _let_45)))) (let ((_let_115 (forall ((A_4 $$unsorted)) (not (|tptp.'E'| (tptp.f A_4) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_116 (|tptp.'E'| _let_42 _let_18))) (let ((_let_117 (or _let_46 _let_116))) (let ((_let_118 (forall ((B_0 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))) (let ((_let_2 (tptp.f B_0))) (or (not (|tptp.'E'| _let_2 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s _let_1))))))) (|tptp.'E'| _let_2 _let_1))))))) (let ((_let_119 (forall ((A_3 $$unsorted)) (not (|tptp.'E'| (tptp.f A_3) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))) (let ((_let_120 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_121 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))) (let ((_let_122 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_123 (_let_118))) (let ((_let_124 (_let_115))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_124) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_4)))) :args _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_46 _let_116 (not _let_117)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_123) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_0)))) :args _let_123)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_59 (= A_1 A_1)))) _let_76 :args ((not _let_122) true _let_59)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_52 (= A_2 A_2)))) _let_79 :args ((not _let_121) true _let_52)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_64 (= A_0 A_0)))) _let_70 :args ((not _let_120) true _let_64)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_41 (= A_3 A_3)))) _let_89 :args ((not _let_119) true _let_41)) :args (_let_118 true _let_122 true _let_121 true _let_120 true _let_119)) :args (_let_117 false _let_118)) :args (_let_116 false _let_45 false _let_117)) :args ((not _let_115) false _let_116)))) (let ((_let_126 (_let_104))) (let ((_let_127 (_let_101))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_127) :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_5)))) :args _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_126) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'AP'| _let_24 K)))) :args _let_126)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_59 (= A_1 A_1)))) _let_76 :args ((not _let_110) true _let_59)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_115 (= A_4 A_4)))) _let_125 :args ((not _let_109) true _let_115)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_111 (= B_0 B_0)))) _let_114 :args ((not _let_108) true _let_111)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_52 (= A_2 A_2)))) _let_79 :args ((not _let_107) true _let_52)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_64 (= A_0 A_0)))) _let_70 :args ((not _let_106) true _let_64)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_41 (= A_3 A_3)))) _let_89 :args ((not _let_105) true _let_41)) :args (_let_104 true _let_110 true _let_109 true _let_108 true _let_107 true _let_106 true _let_105)) :args (_let_102 false _let_104)) :args (_let_103 false _let_102)))) (let ((_let_129 (_let_93))) (let ((_let_130 (_let_90))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_130) :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_6)))) :args _let_130)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_129) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'AP'| _let_24 K)))) :args _let_129)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_59 (= A_1 A_1)))) _let_76 :args ((not _let_100) true _let_59)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_115 (= A_4 A_4)))) _let_125 :args ((not _let_99) true _let_115)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_111 (= B_0 B_0)))) _let_114 :args ((not _let_98) true 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_let_132) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'AP'| _let_24 K)))) :args _let_132)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_59 (= A_1 A_1)))) _let_76 :args ((not _let_40) true _let_59)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_115 (= A_4 A_4)))) _let_125 :args ((not _let_39) true _let_115)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_111 (= B_0 B_0)))) _let_114 :args ((not _let_38) true _let_111)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_101 (= A_5 A_5)))) _let_128 :args ((not _let_37) true _let_101)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_52 (= A_2 A_2)))) _let_79 :args ((not _let_36) true _let_52)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_90 (= A_6 A_6)))) _let_131 :args ((not _let_35) true 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(tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_139 (forall ((A_6 $$unsorted)) (not (|tptp.'E'| (tptp.f A_6) (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_140 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))) (let ((_let_141 (forall ((A_5 $$unsorted)) (not (|tptp.'E'| (tptp.f A_5) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_142 (forall ((A_4 $$unsorted)) (not (|tptp.'E'| (tptp.f A_4) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_143 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_144 (forall ((A_9 $$unsorted)) (not (|tptp.'E'| (tptp.f A_9) |tptp.'0'|))))) (let ((_let_145 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_146 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))))) (let ((_let_147 (forall ((A_6 $$unsorted)) (not (|tptp.'E'| (tptp.f A_6) (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_148 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))))) (let ((_let_149 (forall ((A_5 $$unsorted)) (not (|tptp.'E'| (tptp.f A_5) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_150 (forall ((A_4 $$unsorted)) (not (|tptp.'E'| (tptp.f A_4) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_151 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_152 (forall ((A_4 $$unsorted)) (not (|tptp.'E'| (tptp.f A_4) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_153 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))) (let ((_let_154 (forall ((A_3 $$unsorted)) (not (|tptp.'E'| (tptp.f A_3) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))) (let ((_let_155 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))))) (let ((_let_156 (forall ((K $$unsorted)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))) K)) |tptp.'0'|)))) (let ((_let_157 (|tptp.'AP'| _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_158 (ALPHA_EQUIV :args (_let_29 (= A_7 A_7))))) (let ((_let_159 (ALPHA_EQUIV :args (_let_64 (= A_0 A_0))))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_159) _let_70 :args ((not _let_146) true _let_64)))) (let 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((_let_172 (forall ((A_3 $$unsorted)) (not (|tptp.'E'| (tptp.f A_3) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))) (let ((_let_173 (forall ((A_5 $$unsorted)) (not (|tptp.'E'| (tptp.f A_5) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_174 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))))))))) (let ((_let_175 (forall ((K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s _let_1)))))))))) K)) _let_1))))) (let ((_let_176 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_29 (= A_7 A_7)))))) (let ((_let_177 (ALPHA_EQUIV :args (_let_52 (= A_2 A_2))))) (let ((_let_178 (EQUIV_ELIM2 _let_177))) (let ((_let_179 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_90 (= A_6 A_6)))))) (let ((_let_180 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_41 (= A_3 A_3)))))) (let 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true _let_52)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_90 (= A_6 A_6)))) _let_131 :args ((not _let_139) true _let_90)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_64 (= A_0 A_0)))) _let_70 :args ((not _let_138) true _let_64)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_41 (= A_3 A_3)))) _let_89 :args ((not _let_137) true _let_41)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_111 (= B_0 B_0)))) _let_114 :args ((not _let_136) true _let_111)) (EQUIV_ELIM2 _let_158) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_29 (= A_7 A_7)))) :args ((or _let_29 _let_28) true (|tptp.'E'| (tptp.f _let_157) |tptp.'0'|) false _let_156 true _let_155 true _let_154 true _let_153 true _let_152 true _let_151 true _let_150 true _let_149 true _let_148 true _let_147 true _let_146 true _let_145 false _let_144 true _let_143 true _let_142 true _let_141 true _let_140 true _let_139 true _let_138 true _let_137 true _let_136 true _let_135 true (forall ((A_7 $$unsorted)) (not (|tptp.'E'| (tptp.f A_7) (tptp.s (tptp.s |tptp.'0'|))))))) _let_134 :args (_let_28 true _let_29)) :args (_let_13 false _let_28)) :args (false false _let_27 false _let_13)) :args (_let_12 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (A_8 $$unsorted) (B_0 $$unsorted) (A_5 $$unsorted) (A_7 $$unsorted) (A_2 $$unsorted) (A_6 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (tptp.s _let_8))) (let ((_let_10 (tptp.s _let_9))) (or (not (|tptp.'E'| (tptp.f A_1) _let_8)) (not (|tptp.'E'| (tptp.f A_4) _let_5)) (not (|tptp.'E'| (tptp.f A_8) _let_1)) (not (|tptp.'E'| (tptp.f B_0) _let_10)) (not (|tptp.'E'| (tptp.f A_5) _let_4)) (not (|tptp.'E'| (tptp.f A_7) _let_2)) (not (|tptp.'E'| (tptp.f A_2) _let_7)) (not (|tptp.'E'| (tptp.f A_6) _let_3)) (not (|tptp.'E'| (tptp.f A_0) _let_9)) (not (|tptp.'E'| (tptp.f A_3) _let_6)) (|tptp.'LEQ'| (|tptp.'AP'| |tptp.'0'| K) (|tptp.'AP'| (tptp.s _let_10) K)))))))))))))) _let_11 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (B_0 $$unsorted) (A_5 $$unsorted) (A_2 $$unsorted) (A_6 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (tptp.s _let_8))) (or (not (|tptp.'E'| (tptp.f A_1) _let_7)) (not (|tptp.'E'| (tptp.f A_4) _let_4)) (not (|tptp.'E'| (tptp.f B_0) _let_9)) (not (|tptp.'E'| (tptp.f A_5) _let_3)) (not (|tptp.'E'| (tptp.f A_2) _let_6)) (not (|tptp.'E'| (tptp.f A_6) _let_2)) (not (|tptp.'E'| (tptp.f A_0) _let_8)) (not (|tptp.'E'| (tptp.f A_3) _let_5)) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) (|tptp.'AP'| (tptp.s _let_9) K))))))))))))) (forall ((A_0 $$unsorted) (B_0 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_2 (tptp.s _let_1))) (or (not (|tptp.'E'| (tptp.f A_0) _let_2)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s _let_2))) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) B_0))))) _let_10 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (B_0 $$unsorted) (A_5 $$unsorted) (A_2 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s |tptp.'0'|))))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (let ((_let_8 (tptp.s _let_7))) (or (not (|tptp.'E'| (tptp.f A_1) _let_6)) (not (|tptp.'E'| (tptp.f A_4) _let_3)) (not (|tptp.'E'| (tptp.f B_0) _let_8)) (not (|tptp.'E'| (tptp.f A_5) _let_2)) (not (|tptp.'E'| (tptp.f A_2) _let_5)) (not (|tptp.'E'| (tptp.f A_0) _let_7)) (not (|tptp.'E'| (tptp.f A_3) _let_4)) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) (|tptp.'AP'| (tptp.s _let_8) K)))))))))))) (forall ((A_1 $$unsorted) (A_4 $$unsorted) (B_0 $$unsorted) (A_2 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (or (not (|tptp.'E'| (tptp.f A_1) _let_5)) (not (|tptp.'E'| (tptp.f A_4) _let_2)) (not (|tptp.'E'| (tptp.f B_0) _let_7)) (not (|tptp.'E'| (tptp.f A_2) _let_4)) (not (|tptp.'E'| (tptp.f A_0) _let_6)) (not (|tptp.'E'| (tptp.f A_3) _let_3)) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) (|tptp.'AP'| (tptp.s _let_7) K))))))))))) _let_9 (forall ((A_1 $$unsorted) (A_4 $$unsorted) (B_0 $$unsorted) (A_5 $$unsorted) (A_7 $$unsorted) (A_2 $$unsorted) (A_6 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.s _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (tptp.s _let_8))) (let ((_let_10 (tptp.s _let_9))) (or (not (|tptp.'E'| (tptp.f A_1) _let_8)) (not (|tptp.'E'| (tptp.f A_4) _let_5)) (not (|tptp.'E'| (tptp.f B_0) _let_10)) (not (|tptp.'E'| (tptp.f A_5) _let_4)) (not (|tptp.'E'| (tptp.f A_7) _let_2)) (not (|tptp.'E'| (tptp.f A_2) _let_7)) (not (|tptp.'E'| (tptp.f A_6) _let_3)) (not (|tptp.'E'| (tptp.f A_0) _let_9)) (not (|tptp.'E'| (tptp.f A_3) _let_6)) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) (|tptp.'AP'| (tptp.s _let_10) K)))))))))))))) _let_8 _let_7 (forall ((K $$unsorted) (B_0 $$unsorted)) (|tptp.'LEQ'| (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) K) B_0)) _let_6 _let_5 (forall ((A_0 $$unsorted) (B_0 $$unsorted) (A_1 $$unsorted) (A_2 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (or (not (|tptp.'E'| (tptp.f A_0) _let_4)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s _let_4))) (not (|tptp.'E'| (tptp.f A_1) _let_3)) (not (|tptp.'E'| (tptp.f A_2) _let_2)) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) B_0))))))) _let_4 (forall ((A_0 $$unsorted) (B_0 $$unsorted) (A_1 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (or (not (|tptp.'E'| (tptp.f A_0) _let_3)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s _let_3))) (not (|tptp.'E'| (tptp.f A_1) _let_2)) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) B_0)))))) _let_3 _let_2 (forall ((A_1 $$unsorted) (B_0 $$unsorted) (A_2 $$unsorted) (A_0 $$unsorted) (A_3 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (or (not (|tptp.'E'| (tptp.f A_1) _let_4)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s _let_5))) (not (|tptp.'E'| (tptp.f A_2) _let_3)) (not (|tptp.'E'| (tptp.f A_0) _let_5)) (not (|tptp.'E'| (tptp.f A_3) _let_2)) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) B_0)))))))) _let_1 (forall ((K $$unsorted) (B $$unsorted)) (|tptp.'LEQ'| (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) K) B))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.72 )
% 0.21/0.72 % SZS output end Proof for SYO634-1
% 0.21/0.73 % cvc5---1.0.5 exiting
% 0.21/0.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------