%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP006_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 03:14:06 EDT 2023

% Result   : Theorem 48.44s 48.73s
% Output   : Proof 48.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ITP006_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n010.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   : Sun Aug 27 16:52:34 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 48.44/48.73  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kgMQsqnvbs/cvc5---1.0.5_22999.p...
% 48.44/48.73  ------- get file name : TPTP file name is ITP006_2
% 48.44/48.73  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22999.smt2...
% 48.44/48.73  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 48.44/48.73  --- Run --no-e-matching --full-saturate-quant at 5...
% 48.44/48.73  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 48.44/48.73  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 48.44/48.73  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 48.44/48.73  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 48.44/48.73  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 48.44/48.73  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 48.44/48.73  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 48.44/48.73  % SZS status Theorem for ITP006_2
% 48.44/48.73  % SZS output start Proof for ITP006_2
% 48.44/48.73  (
% 48.44/48.73  (let ((_let_1 (not (forall ((A_27a tptp.del) (A_27b tptp.del) (V0i $$unsorted)) (=> (tptp.mem V0i (tptp.arr A_27b A_27a)) (forall ((V1P $$unsorted)) (=> (tptp.mem V1P (tptp.arr A_27a tptp.bool)) (forall ((V2Q $$unsorted)) (let ((_let_1 (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT A_27b A_27a) V0i))) (=> (tptp.mem V2Q (tptp.arr A_27a tptp.bool)) (=> (forall ((V3x $$unsorted)) (=> (tptp.mem V3x A_27a) (=> (tptp.p (tptp.ap V2Q V3x)) (tptp.p (tptp.ap V1P V3x))))) (=> (tptp.p (tptp.ap _let_1 V1P)) (tptp.p (tptp.ap _let_1 V2Q)))))))))))))) (let ((_let_2 (forall ((A_27a tptp.del) (A_27b tptp.del) (V0i $$unsorted)) (=> (tptp.mem V0i (tptp.arr A_27a A_27b)) (forall ((V1P $$unsorted)) (=> (tptp.mem V1P (tptp.arr A_27b tptp.bool)) (and (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS A_27a A_27b) V0i) V1P)) (forall ((V2v $$unsorted)) (=> (tptp.mem V2v A_27b) (=> (tptp.p (tptp.ap V1P V2v)) (exists ((V3fv $$unsorted)) (and (tptp.mem V3fv A_27a) (tptp.p (tptp.ap V1P (tptp.ap V0i V3fv))))))))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL A_27a A_27b) V0i) V1P)) (forall ((V4v $$unsorted)) (=> (tptp.mem V4v A_27b) (=> (not (tptp.p (tptp.ap V1P V4v))) (exists ((V5fv $$unsorted)) (and (tptp.mem V5fv A_27a) (not (tptp.p (tptp.ap V1P (tptp.ap V0i V5fv)))))))))) (forall ((V6i $$unsorted)) (=> (tptp.mem V6i (tptp.arr A_27a A_27b)) (forall ((V7P $$unsorted)) (=> (tptp.mem V7P (tptp.arr A_27b tptp.bool)) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT A_27a A_27b) V6i) V7P)) (forall ((V8fv $$unsorted)) (=> (tptp.mem V8fv A_27a) (tptp.p (tptp.ap V7P (tptp.ap V6i V8fv)))))))))) (forall ((V9i $$unsorted)) (=> (tptp.mem V9i (tptp.arr A_27a A_27b)) (forall ((V10P $$unsorted)) (=> (tptp.mem V10P (tptp.arr A_27b tptp.bool)) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT A_27a A_27b) V9i) V10P)) (forall ((V11fv $$unsorted)) (=> (tptp.mem V11fv A_27a) (not (tptp.p (tptp.ap V10P (tptp.ap V9i V11fv))))))))))) (forall ((V12i $$unsorted)) (=> (tptp.mem V12i (tptp.arr A_27a A_27b)) (forall ((V13P $$unsorted)) (=> (tptp.mem V13P (tptp.arr A_27b tptp.bool)) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP A_27a A_27b) V12i) V13P)) (forall ((V14v $$unsorted)) (=> (tptp.mem V14v A_27b) (=> (tptp.p (tptp.ap V13P V14v)) (exists ((V15fv $$unsorted)) (and (tptp.mem V15fv A_27a) (= V14v (tptp.ap V12i V15fv)))))))))))) (forall ((V16i $$unsorted)) (=> (tptp.mem V16i (tptp.arr A_27a A_27b)) (forall ((V17P $$unsorted)) (=> (tptp.mem V17P (tptp.arr A_27b tptp.bool)) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP A_27a A_27b) V16i) V17P)) (forall ((V18v $$unsorted)) (=> (tptp.mem V18v A_27b) (=> (not (tptp.p (tptp.ap V17P V18v))) (exists ((V19fv $$unsorted)) (and (tptp.mem V19fv A_27a) (= V18v (tptp.ap V16i V19fv))))))))))))))))))) (let ((_let_3 (tptp.arr tptp.bool tptp.bool))) (let ((_let_4 (tptp.arr tptp.bool _let_3))) (let ((_let_5 (forall ((A tptp.del) (B tptp.del) (F $$unsorted)) (=> (tptp.mem F (tptp.arr A B)) (forall ((X $$unsorted)) (=> (tptp.mem X A) (tptp.mem (tptp.ap F X) B))))))) (let ((_let_6 (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_7 (tptp.p (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_6)))) (let ((_let_8 (tptp.p (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6)))) (let ((_let_9 (not _let_7))) (let ((_let_10 (tptp.mem _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9 _let_8))) (let ((_let_13 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_9))) (let ((_let_16 (forall ((V3fv $$unsorted)) (or (not (tptp.mem V3fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 V3fv)))))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (forall ((V11fv $$unsorted)) (or (not (tptp.mem V11fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 V11fv)))))))) (let ((_let_19 (not _let_16))) (let ((_let_20 (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (tptp.p (tptp.ap _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_22 (= _let_21 _let_18))) (let ((_let_23 (not _let_18))) (let ((_let_24 (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (let ((_let_25 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_24))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_22))) (let ((_let_28 (forall ((V10P $$unsorted)) (or (not (tptp.mem V10P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) V10P)) (forall ((V11fv $$unsorted)) (or (not (tptp.mem V11fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p (tptp.ap V10P (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 V11fv))))))))))) (let ((_let_29 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (forall ((V9i $$unsorted)) (or (not (tptp.mem V9i (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((V10P $$unsorted)) (or (not (tptp.mem V10P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V9i) V10P)) (forall ((V11fv $$unsorted)) (or (not (tptp.mem V11fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p (tptp.ap V10P (tptp.ap V9i V11fv))))))))))))) (let ((_let_33 (forall ((V3fv $$unsorted)) (or (not (tptp.mem V3fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 V3fv)))))))) (let ((_let_34 (and (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (or (not _let_33) (forall ((V2v $$unsorted)) (or (not (tptp.mem V2v SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.p (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 V2v))))))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (or (not (forall ((V5fv $$unsorted)) (or (not (tptp.mem V5fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.p (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 V5fv)))))) (forall ((V4v $$unsorted)) (or (not (tptp.mem V4v SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.p (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 V4v)))))) (forall ((V6i $$unsorted)) (or (not (tptp.mem V6i (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((V7P $$unsorted)) (or (not (tptp.mem V7P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V6i) V7P)) (forall ((V8fv $$unsorted)) (or (not (tptp.mem V8fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.p (tptp.ap V7P (tptp.ap V6i V8fv)))))))))) _let_32 (forall ((V12i $$unsorted)) (or (not (tptp.mem V12i (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((V13P $$unsorted)) (or (not (tptp.mem V13P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V12i) V13P)) (forall ((V14v $$unsorted)) (or (not (tptp.mem V14v SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.p (tptp.ap V13P V14v))) (not (forall ((V15fv $$unsorted)) (or (not (tptp.mem V15fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (= V14v (tptp.ap V12i V15fv))))))))))))) (forall ((V16i $$unsorted)) (or (not (tptp.mem V16i (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((V17P $$unsorted)) (or (not (tptp.mem V17P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V16i) V17P)) (forall ((V18v $$unsorted)) (or (not (tptp.mem V18v SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.p (tptp.ap V17P V18v)) (not (forall ((V19fv $$unsorted)) (or (not (tptp.mem V19fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (= V18v (tptp.ap V16i V19fv)))))))))))))))) (let ((_let_35 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_24))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34))) (let ((_let_38 (forall ((V1P $$unsorted)) (or (not (tptp.mem V1P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (and (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) V1P)) (or (not (forall ((V3fv $$unsorted)) (or (not (tptp.mem V3fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p (tptp.ap V1P (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 V3fv))))))) (forall ((V2v $$unsorted)) (or (not (tptp.mem V2v SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.p (tptp.ap V1P V2v))))))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) V1P)) (or (not (forall ((V5fv $$unsorted)) (or (not (tptp.mem V5fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.p (tptp.ap V1P (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 V5fv)))))) (forall ((V4v $$unsorted)) (or (not (tptp.mem V4v SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.p (tptp.ap V1P V4v)))))) (forall ((V6i $$unsorted)) (or (not (tptp.mem V6i (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((V7P $$unsorted)) (or (not (tptp.mem V7P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V6i) V7P)) (forall ((V8fv $$unsorted)) (or (not (tptp.mem V8fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.p (tptp.ap V7P (tptp.ap V6i V8fv)))))))))) (forall ((V9i $$unsorted)) (or (not (tptp.mem V9i (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((V10P $$unsorted)) (or (not (tptp.mem V10P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V9i) V10P)) (forall ((V11fv $$unsorted)) (or (not (tptp.mem V11fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p (tptp.ap V10P (tptp.ap V9i V11fv))))))))))) (forall ((V12i $$unsorted)) (or (not (tptp.mem V12i (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((V13P $$unsorted)) (or (not (tptp.mem V13P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V12i) V13P)) (forall ((V14v $$unsorted)) (or (not (tptp.mem V14v SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.p (tptp.ap V13P V14v))) (not (forall ((V15fv $$unsorted)) (or (not (tptp.mem V15fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (= V14v (tptp.ap V12i V15fv))))))))))))) (forall ((V16i $$unsorted)) (or (not (tptp.mem V16i (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (forall ((V17P $$unsorted)) (or (not (tptp.mem V17P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V16i) V17P)) (forall ((V18v $$unsorted)) (or (not (tptp.mem V18v SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.p (tptp.ap V17P V18v)) (not (forall ((V19fv $$unsorted)) (or (not (tptp.mem V19fv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (= V18v (tptp.ap V16i V19fv)))))))))))))))))) (let ((_let_39 (or _let_30 _let_38))) (let ((_let_40 (forall ((A_27a tptp.del) (A_27b tptp.del) (V0i $$unsorted)) (or (not (tptp.mem V0i (tptp.arr A_27a A_27b))) (forall ((V1P $$unsorted)) (or (not (tptp.mem V1P (tptp.arr A_27b tptp.bool))) (and (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS A_27a A_27b) V0i) V1P)) (or (not (forall ((V3fv $$unsorted)) (or (not (tptp.mem V3fv A_27a)) (not (tptp.p (tptp.ap V1P (tptp.ap V0i V3fv))))))) (forall ((V2v $$unsorted)) (or (not (tptp.mem V2v A_27b)) (not (tptp.p (tptp.ap V1P V2v))))))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL A_27a A_27b) V0i) V1P)) (or (not (forall ((V5fv $$unsorted)) (or (not (tptp.mem V5fv A_27a)) (tptp.p (tptp.ap V1P (tptp.ap V0i V5fv)))))) (forall ((V4v $$unsorted)) (or (not (tptp.mem V4v A_27b)) (tptp.p (tptp.ap V1P V4v)))))) (forall ((V6i $$unsorted)) (or (not (tptp.mem V6i (tptp.arr A_27a A_27b))) (forall ((V7P $$unsorted)) (or (not (tptp.mem V7P (tptp.arr A_27b tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap 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(tptp.ap V12i V15fv))))))))))))) (forall ((V16i $$unsorted)) (or (not (tptp.mem V16i (tptp.arr A_27a A_27b))) (forall ((V17P $$unsorted)) (or (not (tptp.mem V17P (tptp.arr A_27b tptp.bool))) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP A_27a A_27b) V16i) V17P)) (forall ((V18v $$unsorted)) (or (not (tptp.mem V18v A_27b)) (tptp.p (tptp.ap V17P V18v)) (not (forall ((V19fv $$unsorted)) (or (not (tptp.mem V19fv A_27a)) (not (= V18v (tptp.ap V16i V19fv)))))))))))))))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (forall ((V1P $$unsorted)) (or (not (tptp.mem V1P (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (not (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) V1P))) (forall ((V2Q $$unsorted)) (or (not (tptp.mem V2Q (tptp.arr 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(tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT A_27b A_27a) V0i) V2Q)))))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (not _let_44))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args (_let_48))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_44))) (REFL :args (_let_45)) :args _let_47)) _let_46 :args (_let_45 true _let_44)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG (REFL :args (_let_43)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_47)) :args ((or _let_29 _let_43))) _let_49 :args (_let_29 true _let_43)))) (let ((_let_51 (_let_38))) (let ((_let_52 (forall ((V2Q $$unsorted)) (or (not (tptp.mem V2Q (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (not (forall ((V3x $$unsorted)) (or (not (tptp.mem V3x 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(REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_47)) :args ((or _let_35 _let_55))) _let_59 :args (_let_35 true _let_55)))) (let ((_let_62 (_let_32))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 (not _let_31)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 3)) :args ((or _let_32 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_34 (not _let_37)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.mem V1P _let_24) false))))) :args _let_51)) (MACRO_RESOLUTION_TRUST 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_let_67 _let_21))) (let ((_let_69 (not _let_68))) (let ((_let_70 (not _let_52))) (let ((_let_71 (_let_70))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_52))) (REFL :args (_let_69)) :args _let_47)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 2)) _let_59 :args (_let_70 true _let_55)) :args (_let_69 true _let_52)))) (let ((_let_73 (REFL :args (_let_68)))) (let ((_let_74 (= V3fv V11fv))) (let ((_let_75 (_let_19))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_16))) (REFL :args (_let_17)) :args _let_47)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_16 _let_74))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_22)) :args ((or _let_21 _let_23 (not _let_22)))) (MACRO_RESOLUTION_TRUST 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:args ((or _let_53 _let_55))) _let_59 :args (_let_53 true _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_36 _let_89 (not _let_90)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_64)) _let_63 :args (_let_90 false _let_28)) :args (_let_89 false _let_35 false _let_90)) :args (_let_88 false _let_53 false _let_89)) :args (_let_33 false _let_88)) :args (_let_87 false _let_33)) :args (_let_86 false _let_13 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_14 _let_10 (not _let_79)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_84) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.mem X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) :args _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_30 _let_80 (not _let_81)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.mem F (tptp.arr A B)) false))))) :args (_let_82))) _let_83 :args (_let_81 false _let_82)) :args (_let_80 false _let_29 false _let_81)) :args (_let_79 false _let_80)) :args (_let_10 false _let_13 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 V3x)))) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 1)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_47)) :args ((or _let_66 _let_68))) _let_72 :args (_let_66 true _let_68)) :args (_let_12 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_7))) :args _let_47)) :args ((or _let_7 _let_15))) _let_76 :args (_let_7 true _let_15)) :args (false true _let_8 false _let_10 false _let_12 false _let_7)) :args (_let_5 (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (=> (= (tptp.p Q) (tptp.p R)) (= Q R)))))) (forall ((A tptp.del) (B tptp.del) (F $$unsorted)) (=> (tptp.mem F (tptp.arr A B)) (forall ((G $$unsorted)) (=> (tptp.mem G (tptp.arr A B)) (=> (forall ((X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap F X) (tptp.ap G X)))) (= F G)))))) (forall ((A tptp.del) (Y $$unsorted) (X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap (tptp.k A Y) X) Y))) (forall ((A tptp.del) (X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap (tptp.i A) X) X))) (forall ((X tptp.tp__o)) (= (tptp.surj__o (tptp.inj__o X)) X)) (forall ((X tptp.tp__o)) (tptp.mem (tptp.inj__o X) tptp.bool)) (forall ((X $$unsorted)) (=> (tptp.mem X tptp.bool) (= X (tptp.inj__o (tptp.surj__o X))))) (tptp.mem tptp.c_2Ebool_2ET tptp.bool) (= (tptp.inj__o tptp.fo__c_2Ebool_2ET) tptp.c_2Ebool_2ET) (tptp.p tptp.c_2Ebool_2ET) (forall ((A_27a tptp.del) (A_27b tptp.del)) (tptp.mem (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP A_27a A_27b) (tptp.arr (tptp.arr A_27a A_27b) (tptp.arr (tptp.arr A_27b tptp.bool) tptp.bool)))) (forall ((A_27a tptp.del) (A_27b tptp.del)) (tptp.mem (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP A_27a A_27b) (tptp.arr (tptp.arr A_27a A_27b) (tptp.arr (tptp.arr A_27b tptp.bool) tptp.bool)))) (forall ((A_27a tptp.del) (A_27b tptp.del)) (tptp.mem (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT A_27a A_27b) (tptp.arr (tptp.arr A_27a A_27b) (tptp.arr (tptp.arr A_27b tptp.bool) tptp.bool)))) (forall ((A_27a tptp.del) (A_27b tptp.del)) (tptp.mem (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT A_27a A_27b) (tptp.arr (tptp.arr A_27a A_27b) (tptp.arr (tptp.arr A_27b tptp.bool) tptp.bool)))) (forall ((A_27a tptp.del) (A_27b tptp.del)) (tptp.mem (tptp.c_2EquantHeuristics_2EGUESS__FORALL A_27a A_27b) (tptp.arr (tptp.arr A_27a A_27b) (tptp.arr (tptp.arr A_27b tptp.bool) tptp.bool)))) (forall ((A_27a tptp.del)) (tptp.mem (tptp.c_2Ebool_2E_3F A_27a) (tptp.arr (tptp.arr A_27a tptp.bool) tptp.bool))) (forall ((A tptp.del) (Q $$unsorted)) (=> (tptp.mem Q (tptp.arr A tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_3F A) Q)) (exists ((X $$unsorted)) (and (tptp.mem X A) (tptp.p (tptp.ap Q X))))))) (forall ((A_27a tptp.del) (A_27b tptp.del)) (tptp.mem (tptp.c_2EquantHeuristics_2EGUESS__EXISTS A_27a A_27b) (tptp.arr (tptp.arr A_27a A_27b) (tptp.arr (tptp.arr A_27b tptp.bool) tptp.bool)))) (tptp.mem tptp.c_2Ebool_2EF tptp.bool) (= (tptp.inj__o tptp.fo__c_2Ebool_2EF) tptp.c_2Ebool_2EF) (not (tptp.p tptp.c_2Ebool_2EF)) (tptp.mem tptp.c_2Ebool_2E_5C_2F _let_4) (forall ((X0 tptp.tp__o) (X1 tptp.tp__o)) (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_5C_2F X0 X1)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F (tptp.inj__o X0)) (tptp.inj__o X1)))) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F Q) R)) (or (tptp.p Q) (tptp.p R))))))) (tptp.mem tptp.c_2Ebool_2E_2F_5C _let_4) (forall ((X0 tptp.tp__o) (X1 tptp.tp__o)) (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_2F_5C X0 X1)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C (tptp.inj__o X0)) (tptp.inj__o X1)))) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C Q) R)) (and (tptp.p Q) (tptp.p R))))))) (forall ((A_27a tptp.del)) (tptp.mem (tptp.c_2Emin_2E_3D A_27a) (tptp.arr A_27a (tptp.arr A_27a tptp.bool)))) (forall ((A tptp.del) (X $$unsorted)) (=> (tptp.mem X A) (forall ((Y $$unsorted)) (=> (tptp.mem Y A) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D A) X) Y)) (= X Y)))))) (tptp.mem tptp.c_2Ebool_2E_7E _let_3) (forall ((X0 tptp.tp__o)) (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_7E X0)) (tptp.ap tptp.c_2Ebool_2E_7E (tptp.inj__o X0)))) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E Q)) (not (tptp.p Q))))) (tptp.mem tptp.c_2Emin_2E_3D_3D_3E _let_4) (forall ((X0 tptp.tp__o) (X1 tptp.tp__o)) (= (tptp.inj__o (tptp.fo__c_2Emin_2E_3D_3D_3E X0 X1)) (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E (tptp.inj__o X0)) (tptp.inj__o X1)))) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E Q) R)) (=> (tptp.p Q) (tptp.p R))))))) (forall ((A_27a tptp.del)) (tptp.mem (tptp.c_2Ebool_2E_21 A_27a) (tptp.arr (tptp.arr A_27a tptp.bool) tptp.bool))) (forall ((A tptp.del) (Q $$unsorted)) (=> (tptp.mem Q (tptp.arr A tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 A) Q)) (forall ((X $$unsorted)) (=> (tptp.mem X A) (tptp.p (tptp.ap Q X))))))) true (forall ((V0t tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0t)))) (and (= (=> true _let_1) _let_1) (= (=> _let_1 true) true) (= (=> false _let_1) true) (= (=> _let_1 _let_1) true) (= (=> _let_1 false) (not _let_1))))) (and (forall ((V0t tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0t)))) (= (not (not _let_1)) _let_1))) (= (not true) false) (= (not false) true)) (forall ((A_27a tptp.del) (V0x $$unsorted)) (=> (tptp.mem V0x A_27a) (forall ((V1y $$unsorted)) (=> (tptp.mem V1y A_27a) (= (= V0x V1y) (= V1y V0x)))))) (forall ((V0t tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0t)))) (let ((_let_2 (not _let_1))) (and (= (= true _let_1) _let_1) (= (= _let_1 true) _let_1) (= (= false _let_1) _let_2) (= (= _let_1 false) _let_2))))) (forall ((V0t1 tptp.tp__o) (V1t2 tptp.tp__o) (V2t3 tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V2t3)))) (let ((_let_2 (tptp.p (tptp.inj__o V1t2)))) (let ((_let_3 (tptp.p (tptp.inj__o V0t1)))) (= (=> _let_3 (=> _let_2 _let_1)) (=> (and _let_3 _let_2) _let_1)))))) (forall ((V0x tptp.tp__o) (V1x_27 tptp.tp__o) (V2y tptp.tp__o) (V3y_27 tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V3y_27)))) (let ((_let_2 (tptp.p (tptp.inj__o V1x_27)))) (let ((_let_3 (tptp.p (tptp.inj__o V2y)))) (let ((_let_4 (tptp.p (tptp.inj__o V0x)))) (=> (and (= _let_4 _let_2) (=> _let_2 (= _let_3 _let_1))) (= (=> _let_4 _let_3) (=> _let_2 _let_1)))))))) _let_2 (forall ((V0t tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0t)))) (= (not (not _let_1)) _let_1))) (forall ((V0A tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0A)))) (=> _let_1 (=> (not _let_1) false)))) (forall ((V0A tptp.tp__o) (V1B tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V1B)))) (let ((_let_2 (tptp.p (tptp.inj__o V0A)))) (= (=> (not (or _let_2 _let_1)) false) (=> (=> _let_2 false) (=> (not _let_1) false)))))) (forall ((V0A tptp.tp__o) (V1B tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V1B)))) (let ((_let_2 (tptp.p (tptp.inj__o V0A)))) (= (=> (not (or (not _let_2) _let_1)) false) (=> _let_2 (=> (not _let_1) false)))))) (forall ((V0A tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0A)))) (=> (=> (not _let_1) false) (=> (=> _let_1 false) false)))) (forall ((V0p tptp.tp__o) (V1q tptp.tp__o) (V2r tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0p)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p (tptp.inj__o V1q)))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p (tptp.inj__o V2r)))) (let ((_let_6 (not _let_5))) (= (= _let_1 (= _let_3 _let_5)) (and (or _let_1 _let_3 _let_5) (or _let_1 _let_6 _let_4) (or _let_3 _let_6 _let_2) (or _let_5 _let_4 _let_2)))))))))) (forall ((V0p tptp.tp__o) (V1q tptp.tp__o) (V2r tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0p)))) (let ((_let_2 (tptp.p (tptp.inj__o V2r)))) (let ((_let_3 (tptp.p (tptp.inj__o V1q)))) (= (= _let_1 (or _let_3 _let_2)) (and (or _let_1 (not _let_3)) (or _let_1 (not _let_2)) (or _let_3 _let_2 (not _let_1)))))))) (forall ((V0p tptp.tp__o) (V1q tptp.tp__o) (V2r tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0p)))) (let ((_let_2 (tptp.p (tptp.inj__o V2r)))) (let ((_let_3 (tptp.p (tptp.inj__o V1q)))) (= (= _let_1 (=> _let_3 _let_2)) (and (or _let_1 _let_3) (or _let_1 (not _let_2)) (or (not _let_3) _let_2 (not _let_1)))))))) (forall ((V0p tptp.tp__o) (V1q tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0p)))) (let ((_let_2 (tptp.p (tptp.inj__o V1q)))) (let ((_let_3 (not _let_2))) (= (= _let_1 _let_3) (and (or _let_1 _let_2) (or _let_3 (not _let_1)))))))) (forall ((V0p tptp.tp__o) (V1q tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V0p)))) (=> (not (=> _let_1 (tptp.p (tptp.inj__o V1q)))) _let_1))) (forall ((V0p tptp.tp__o) (V1q tptp.tp__o)) (let ((_let_1 (tptp.p (tptp.inj__o V1q)))) (=> (not (=> (tptp.p (tptp.inj__o V0p)) _let_1)) (not _let_1)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 48.44/48.73  )
% 48.44/48.73  % SZS output end Proof for ITP006_2
% 48.44/48.73  % cvc5---1.0.5 exiting
% 48.44/48.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------