TSTP Solution File: PUZ094^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ094^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 13:13:21 EDT 2023
% Result : Theorem 0.21s 0.71s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ094^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n024.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 22:46:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TH0
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 % File : PUZ094^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.51 % Domain : Puzzles
% 0.21/0.51 % Problem : TPS problem from BASIC-FO-THMS
% 0.21/0.51 % Version : Especial.
% 0.21/0.51 % English : Reduced version of Schubert's Steamroller.
% 0.21/0.51
% 0.21/0.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.51 % Source : [Bro09]
% 0.21/0.51 % Names : tps_1213 [Bro09]
% 0.21/0.51
% 0.21/0.51 % Status : Theorem
% 0.21/0.51 % Rating : 0.27 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.30 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.38 v6.4.0, 0.43 v6.3.0, 0.50 v6.2.0, 0.33 v6.1.0, 0.50 v6.0.0, 0.33 v5.5.0, 0.20 v5.4.0, 0.25 v5.1.0, 0.50 v5.0.0, 0.25 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.21/0.51 % Syntax : Number of formulae : 16 ( 0 unt; 15 typ; 0 def)
% 0.21/0.51 % Number of atoms : 50 ( 0 equ; 0 cnn)
% 0.21/0.51 % Maximal formula atoms : 50 ( 50 avg)
% 0.21/0.51 % Number of connectives : 148 ( 34 ~; 30 |; 19 &; 65 @)
% 0.21/0.51 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.51 % Maximal formula depth : 31 ( 31 avg)
% 0.21/0.51 % Number of types : 2 ( 0 usr)
% 0.21/0.51 % Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% 0.21/0.51 % Number of symbols : 15 ( 15 usr; 5 con; 0-2 aty)
% 0.21/0.51 % Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% 0.21/0.51 % SPC : TH0_THM_NEQ_NAR
% 0.21/0.51
% 0.21/0.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.51 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.51 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 thf(eats,type,
% 0.21/0.51 eats: $i > $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(grain,type,
% 0.21/0.51 grain: $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(animal,type,
% 0.21/0.51 animal: $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(snail,type,
% 0.21/0.51 snail: $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(sf,type,
% 0.21/0.51 sf: $i > $i ).
% 0.21/0.51
% 0.21/0.51 thf(plant,type,
% 0.21/0.51 plant: $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(bird,type,
% 0.21/0.51 bird: $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(wolf,type,
% 0.21/0.51 wolf: $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(fox,type,
% 0.21/0.51 fox: $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(msmaller,type,
% 0.21/0.51 msmaller: $i > $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(a_grain,type,
% 0.21/0.51 a_grain: $i ).
% 0.21/0.51
% 0.21/0.51 thf(a_snail,type,
% 0.21/0.51 a_snail: $i ).
% 0.21/0.51
% 0.21/0.51 thf(a_bird,type,
% 0.21/0.51 a_bird: $i ).
% 0.21/0.51
% 0.21/0.51 thf(a_fox,type,
% 0.21/0.51 a_fox: $i ).
% 0.21/0.51
% 0.21/0.51 thf(a_wolf,type,
% 0.21/0.51 a_wolf: $i ).
% 0.21/0.51
% 0.21/0.51 thf(cPUZ031_2,conjecture,
% 0.21/0.51 ~ ( ! [X: $i] :
% 0.21/0.51 ( ( animal @ X )
% 0.21/0.51 | ~ ( wolf @ X ) )
% 0.21/0.51 & ! [X: $i] :
% 0.21/0.51 ( ( animal @ X )
% 0.21/0.51 | ~ ( fox @ X ) )
% 0.21/0.51 & ! [X: $i] :
% 0.21/0.51 ( ( animal @ X )
% 0.21/0.51 | ~ ( bird @ X ) )
% 0.21/0.51 & ! [X: $i] :
% 0.21/0.51 ( ( animal @ X )
% 0.21/0.51 | ~ ( snail @ X ) )
% 0.21/0.51 & ( wolf @ a_wolf )
% 0.21/0.51 & ( fox @ a_fox )
% 0.21/0.51 & ( bird @ a_bird )
% 0.21/0.51 & ( snail @ a_snail )
% 0.21/0.51 & ( grain @ a_grain )
% 0.21/0.51 & ! [X: $i] :
% 0.21/0.51 ( ( plant @ X )
% 0.21/0.51 | ~ ( grain @ X ) )
% 0.21/0.51 & ! [A: $i,P: $i,S: $i,O: $i] :
% 0.21/0.51 ( ( eats @ A @ P )
% 0.21/0.51 | ( eats @ A @ S )
% 0.21/0.51 | ~ ( animal @ A )
% 0.21/0.51 | ~ ( plant @ P )
% 0.21/0.51 | ~ ( animal @ S )
% 0.21/0.51 | ~ ( plant @ O )
% 0.21/0.51 | ~ ( msmaller @ S @ A )
% 0.21/0.51 | ~ ( eats @ S @ O ) )
% 0.21/0.51 & ! [S: $i,B: $i] :
% 0.21/0.51 ( ( msmaller @ S @ B )
% 0.21/0.51 | ~ ( snail @ S )
% 0.21/0.51 | ~ ( bird @ B ) )
% 0.21/0.51 & ! [B: $i,F: $i] :
% 0.21/0.51 ( ( msmaller @ B @ F )
% 0.21/0.51 | ~ ( bird @ B )
% 0.21/0.51 | ~ ( fox @ F ) )
% 0.21/0.51 & ! [F: $i,W: $i] :
% 0.21/0.51 ( ( msmaller @ F @ W )
% 0.21/0.51 | ~ ( fox @ F )
% 0.21/0.51 | ~ ( wolf @ W ) )
% 0.21/0.51 & ! [F: $i,W: $i] :
% 0.21/0.51 ( ~ ( wolf @ W )
% 0.21/0.51 | ~ ( fox @ F )
% 0.21/0.51 | ~ ( eats @ W @ F ) )
% 0.21/0.51 & ! [W: $i,G: $i] :
% 0.21/0.51 ( ~ ( wolf @ W )
% 0.21/0.51 | ~ ( grain @ G )
% 0.21/0.51 | ~ ( eats @ W @ G ) )
% 0.21/0.51 & ! [B: $i,S: $i] :
% 0.21/0.51 ( ~ ( bird @ B )
% 0.21/0.51 | ~ ( snail @ S )
% 0.21/0.51 | ~ ( eats @ B @ S ) )
% 0.21/0.51 & ! [S: $i] :
% 0.21/0.51 ( ( plant @ ( sf @ S ) )
% 0.21/0.51 | ~ ( snail @ S ) )
% 0.21/0.51 & ! [S: $i] :
% 0.21/0.51 ( ( eats @ S @ ( sf @ S ) )
% 0.21/0.51 | ~ ( snail @ S ) )
% 0.21/0.51 & ! [A: $i,E: $i,G: $i] :
% 0.21/0.51 ( ~ ( animal @ A )
% 0.21/0.51 | ~ ( animal @ E )
% 0.21/0.51 | ~ ( grain @ G )
% 0.21/0.71 | ~ ( eats @ A @ E )
% 0.21/0.71 | ~ ( eats @ E @ G ) ) ) ).
% 0.21/0.71
% 0.21/0.71 %------------------------------------------------------------------------------
% 0.21/0.71 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vFnW8MEPtK/cvc5---1.0.5_9543.p...
% 0.21/0.71 (declare-sort $$unsorted 0)
% 0.21/0.71 (declare-fun tptp.eats ($$unsorted $$unsorted) Bool)
% 0.21/0.71 (declare-fun tptp.grain ($$unsorted) Bool)
% 0.21/0.71 (declare-fun tptp.animal ($$unsorted) Bool)
% 0.21/0.71 (declare-fun tptp.snail ($$unsorted) Bool)
% 0.21/0.71 (declare-fun tptp.sf ($$unsorted) $$unsorted)
% 0.21/0.71 (declare-fun tptp.plant ($$unsorted) Bool)
% 0.21/0.71 (declare-fun tptp.bird ($$unsorted) Bool)
% 0.21/0.71 (declare-fun tptp.wolf ($$unsorted) Bool)
% 0.21/0.71 (declare-fun tptp.fox ($$unsorted) Bool)
% 0.21/0.71 (declare-fun tptp.msmaller ($$unsorted $$unsorted) Bool)
% 0.21/0.71 (declare-fun tptp.a_grain () $$unsorted)
% 0.21/0.71 (declare-fun tptp.a_snail () $$unsorted)
% 0.21/0.71 (declare-fun tptp.a_bird () $$unsorted)
% 0.21/0.71 (declare-fun tptp.a_fox () $$unsorted)
% 0.21/0.71 (declare-fun tptp.a_wolf () $$unsorted)
% 0.21/0.71 (assert (not (not (and (forall ((X $$unsorted)) (or (@ tptp.animal X) (not (@ tptp.wolf X)))) (forall ((X $$unsorted)) (or (@ tptp.animal X) (not (@ tptp.fox X)))) (forall ((X $$unsorted)) (or (@ tptp.animal X) (not (@ tptp.bird X)))) (forall ((X $$unsorted)) (or (@ tptp.animal X) (not (@ tptp.snail X)))) (@ tptp.wolf tptp.a_wolf) (@ tptp.fox tptp.a_fox) (@ tptp.bird tptp.a_bird) (@ tptp.snail tptp.a_snail) (@ tptp.grain tptp.a_grain) (forall ((X $$unsorted)) (or (@ tptp.plant X) (not (@ tptp.grain X)))) (forall ((A $$unsorted) (P $$unsorted) (S $$unsorted) (O $$unsorted)) (let ((_let_1 (@ tptp.eats A))) (or (@ _let_1 P) (@ _let_1 S) (not (@ tptp.animal A)) (not (@ tptp.plant P)) (not (@ tptp.animal S)) (not (@ tptp.plant O)) (not (@ (@ tptp.msmaller S) A)) (not (@ (@ tptp.eats S) O))))) (forall ((S $$unsorted) (B $$unsorted)) (or (@ (@ tptp.msmaller S) B) (not (@ tptp.snail S)) (not (@ tptp.bird B)))) (forall ((B $$unsorted) (F $$unsorted)) (or (@ (@ tptp.msmaller B) F) (not (@ tptp.bird B)) (not (@ tptp.fox F)))) (forall ((F $$unsorted) (W $$unsorted)) (or (@ (@ tptp.msmaller F) W) (not (@ tptp.fox F)) (not (@ tptp.wolf W)))) (forall ((F $$unsorted) (W $$unsorted)) (or (not (@ tptp.wolf W)) (not (@ tptp.fox F)) (not (@ (@ tptp.eats W) F)))) (forall ((W $$unsorted) (G $$unsorted)) (or (not (@ tptp.wolf W)) (not (@ tptp.grain G)) (not (@ (@ tptp.eats W) G)))) (forall ((B $$unsorted) (S $$unsorted)) (or (not (@ tptp.bird B)) (not (@ tptp.snail S)) (not (@ (@ tptp.eats B) S)))) (forall ((S $$unsorted)) (or (@ tptp.plant (@ tptp.sf S)) (not (@ tptp.snail S)))) (forall ((S $$unsorted)) (or (@ (@ tptp.eats S) (@ tptp.sf S)) (not (@ tptp.snail S)))) (forall ((A $$unsorted) (E $$unsorted) (G $$unsorted)) (or (not (@ tptp.animal A)) (not (@ tptp.animal E)) (not (@ tptp.grain G)) (not (@ (@ tptp.eats A) E)) (not (@ (@ tptp.eats E) G))))))))
% 0.21/0.71 (set-info :filename cvc5---1.0.5_9543)
% 0.21/0.71 (check-sat-assuming ( true ))
% 0.21/0.71 ------- get file name : TPTP file name is PUZ094^5
% 0.21/0.71 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9543.smt2...
% 0.21/0.71 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.71 % SZS status Theorem for PUZ094^5
% 0.21/0.71 % SZS output start Proof for PUZ094^5
% 0.21/0.71 (
% 0.21/0.71 (let ((_let_1 (and (forall ((X $$unsorted)) (or (@ tptp.animal X) (not (@ tptp.wolf X)))) (forall ((X $$unsorted)) (or (@ tptp.animal X) (not (@ tptp.fox X)))) (forall ((X $$unsorted)) (or (@ tptp.animal X) (not (@ tptp.bird X)))) (forall ((X $$unsorted)) (or (@ tptp.animal X) (not (@ tptp.snail X)))) (@ tptp.wolf tptp.a_wolf) (@ tptp.fox tptp.a_fox) (@ tptp.bird tptp.a_bird) (@ tptp.snail tptp.a_snail) (@ tptp.grain tptp.a_grain) (forall ((X $$unsorted)) (or (@ tptp.plant X) (not (@ tptp.grain X)))) (forall ((A $$unsorted) (P $$unsorted) (S $$unsorted) (O $$unsorted)) (let ((_let_1 (@ tptp.eats A))) (or (@ _let_1 P) (@ _let_1 S) (not (@ tptp.animal A)) (not (@ tptp.plant P)) (not (@ tptp.animal S)) (not (@ tptp.plant O)) (not (@ (@ tptp.msmaller S) A)) (not (@ (@ tptp.eats S) O))))) (forall ((S $$unsorted) (B $$unsorted)) (or (@ (@ tptp.msmaller S) B) (not (@ tptp.snail S)) (not (@ tptp.bird B)))) (forall ((B $$unsorted) (F $$unsorted)) (or (@ (@ tptp.msmaller B) F) (not (@ tptp.bird B)) (not (@ tptp.fox F)))) (forall ((F $$unsorted) (W $$unsorted)) (or (@ (@ tptp.msmaller F) W) (not (@ tptp.fox F)) (not (@ tptp.wolf W)))) (forall ((F $$unsorted) (W $$unsorted)) (or (not (@ tptp.wolf W)) (not (@ tptp.fox F)) (not (@ (@ tptp.eats W) F)))) (forall ((W $$unsorted) (G $$unsorted)) (or (not (@ tptp.wolf W)) (not (@ tptp.grain G)) (not (@ (@ tptp.eats W) G)))) (forall ((B $$unsorted) (S $$unsorted)) (or (not (@ tptp.bird B)) (not (@ tptp.snail S)) (not (@ (@ tptp.eats B) S)))) (forall ((S $$unsorted)) (or (@ tptp.plant (@ tptp.sf S)) (not (@ tptp.snail S)))) (forall ((S $$unsorted)) (or (@ (@ tptp.eats S) (@ tptp.sf S)) (not (@ tptp.snail S)))) (forall ((A $$unsorted) (E $$unsorted) (G $$unsorted)) (or (not (@ tptp.animal A)) (not (@ tptp.animal E)) (not (@ tptp.grain G)) (not (@ (@ tptp.eats A) E)) (not (@ (@ tptp.eats E) G))))))) (let ((_let_2 (not (not _let_1)))) (let ((_let_3 (ho_4 k_6 tptp.a_fox))) (let ((_let_4 (ho_4 k_6 tptp.a_bird))) (let ((_let_5 (ho_4 k_10 tptp.a_grain))) (let ((_let_6 (ho_4 (ho_3 k_14 tptp.a_bird) tptp.a_fox))) (let ((_let_7 (ho_3 k_2 tptp.a_bird))) (let ((_let_8 (ho_4 _let_7 tptp.a_grain))) (let ((_let_9 (not _let_8))) (let ((_let_10 (not _let_6))) (let ((_let_11 (not _let_5))) (let ((_let_12 (not _let_4))) (let ((_let_13 (not _let_3))) (let ((_let_14 (ho_3 k_2 tptp.a_fox))) (let ((_let_15 (ho_4 _let_14 tptp.a_bird))) (let ((_let_16 (ho_4 _let_14 tptp.a_grain))) (let ((_let_17 (or _let_16 _let_15 _let_13 _let_11 _let_12 _let_11 _let_10 _let_9))) (let ((_let_18 (ho_4 k_13 tptp.a_fox))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_3 _let_19))) (let ((_let_21 (forall ((X $$unsorted)) (or (ho_4 k_6 X) (not (ho_4 k_13 X)))))) (let ((_let_22 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_23 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_24 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_25 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_26 (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_27 (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_28 (forall ((A $$unsorted) (E $$unsorted) (G $$unsorted)) (or (not (ho_4 k_6 A)) (not (ho_4 k_6 E)) (not (ho_4 k_5 G)) (not (ho_4 (ho_3 k_2 A) E)) (not (ho_4 (ho_3 k_2 E) G)))))) (let ((_let_29 (forall ((S $$unsorted)) (or (ho_4 (ho_3 k_2 S) (ho_9 k_8 S)) (not (ho_4 k_7 S)))))) (let ((_let_30 (forall ((S $$unsorted)) (or (ho_4 k_10 (ho_9 k_8 S)) (not (ho_4 k_7 S)))))) (let ((_let_31 (forall ((B $$unsorted) (S $$unsorted)) (or (not (ho_4 k_11 B)) (not (ho_4 k_7 S)) (not (ho_4 (ho_3 k_2 B) S)))))) (let ((_let_32 (forall ((W $$unsorted) (G $$unsorted)) (or (not (ho_4 k_12 W)) (not (ho_4 k_5 G)) (not (ho_4 (ho_3 k_2 W) G)))))) (let ((_let_33 (forall ((F $$unsorted) (W $$unsorted)) (or (not (ho_4 k_12 W)) (not (ho_4 k_13 F)) (not (ho_4 (ho_3 k_2 W) F)))))) (let ((_let_34 (forall ((F $$unsorted) (W $$unsorted)) (or (ho_4 (ho_3 k_14 F) W) (not (ho_4 k_13 F)) (not (ho_4 k_12 W)))))) (let ((_let_35 (forall ((B $$unsorted) (F $$unsorted)) (or (ho_4 (ho_3 k_14 B) F) (not (ho_4 k_11 B)) (not (ho_4 k_13 F)))))) (let ((_let_36 (forall ((S $$unsorted) (B $$unsorted)) (or (ho_4 (ho_3 k_14 S) B) (not (ho_4 k_7 S)) (not (ho_4 k_11 B)))))) (let ((_let_37 (forall ((A $$unsorted) (P $$unsorted) (S $$unsorted) (O $$unsorted)) (let ((_let_1 (ho_3 k_2 A))) (or (ho_4 _let_1 P) (ho_4 _let_1 S) (not (ho_4 k_6 A)) (not (ho_4 k_10 P)) (not (ho_4 k_6 S)) (not (ho_4 k_10 O)) (not (ho_4 (ho_3 k_14 S) A)) (not (ho_4 (ho_3 k_2 S) O))))))) (let ((_let_38 (forall ((X $$unsorted)) (or (ho_4 k_10 X) (not (ho_4 k_5 X)))))) (let ((_let_39 (ho_4 k_5 tptp.a_grain))) (let ((_let_40 (ho_4 k_7 tptp.a_snail))) (let ((_let_41 (ho_4 k_11 tptp.a_bird))) (let ((_let_42 (ho_4 k_12 tptp.a_wolf))) (let ((_let_43 (forall ((X $$unsorted)) (or (ho_4 k_6 X) (not (ho_4 k_7 X)))))) (let ((_let_44 (forall ((X $$unsorted)) (or (ho_4 k_6 X) (not (ho_4 k_11 X)))))) (let ((_let_45 (forall ((X $$unsorted)) (or (ho_4 k_6 X) (not (ho_4 k_12 X)))))) (let ((_let_46 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= _let_1 (and _let_45 _let_21 _let_44 _let_43 _let_42 _let_18 _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 _let_28)))))) (PREPROCESS :args ((and _let_27 _let_26 _let_25 _let_24 _let_23 _let_22)))) :args ((and _let_45 _let_21 _let_44 _let_43 _let_42 _let_18 _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 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22))))) (let ((_let_47 (_let_21))) (let ((_let_48 (AND_ELIM _let_46 :args (5)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_3 (not _let_20)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (tptp.a_fox QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 k_13 X) false))))) :args _let_47)) (AND_ELIM _let_46 :args (1)) :args (_let_20 false _let_21)) :args (_let_3 false _let_18 false _let_20)))) (let ((_let_50 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_let_57)) (AND_ELIM _let_46 :args (9)) :args (_let_56 false _let_38)) :args (_let_5 false _let_39 false _let_56)))) (let ((_let_60 (or _let_6 _let_50 _let_19))) (let ((_let_61 (_let_35))) (let ((_let_62 (AND_ELIM _let_46 :args (10)))) (let ((_let_63 (_let_37))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (not _let_16))) (let ((_let_66 (ho_4 (ho_3 k_14 tptp.a_fox) tptp.a_wolf))) (let ((_let_67 (not _let_66))) (let ((_let_68 (ho_4 k_6 tptp.a_wolf))) (let ((_let_69 (not _let_68))) (let ((_let_70 (ho_3 k_2 tptp.a_wolf))) (let ((_let_71 (ho_4 _let_70 tptp.a_fox))) (let ((_let_72 (ho_4 _let_70 tptp.a_grain))) (let ((_let_73 (or _let_72 _let_71 _let_69 _let_11 _let_13 _let_11 _let_67 _let_65))) (let ((_let_74 (not _let_42))) (let ((_let_75 (or _let_66 _let_19 _let_74))) (let ((_let_76 (_let_34))) (let ((_let_77 (AND_ELIM _let_46 :args (4)))) (let ((_let_78 (not _let_71))) (let ((_let_79 (or _let_74 _let_19 _let_78))) (let ((_let_80 (_let_33))) (let ((_let_81 (not _let_72))) (let 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(AND_ELIM _let_46 :args (17)) :args (_let_106 false _let_30)) :args (_let_91 false _let_40 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_97 _let_87 (not _let_104)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_105) :args (tptp.a_snail QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 k_7 S) false))))) :args _let_105)) (AND_ELIM _let_46 :args (18)) :args (_let_104 false _let_29)) :args (_let_87 false _let_40 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_50 _let_97 _let_101 (not _let_102)))) _let_53 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_103) :args (tptp.a_bird tptp.a_snail QUANTIFIERS_INST_E_MATCHING ((not (= (ho_4 k_7 S) false)) (not (= (ho_4 k_11 B) false))))) :args _let_103)) (AND_ELIM _let_46 :args (16)) :args (_let_102 false _let_31)) :args (_let_101 false _let_41 false _let_40 false 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_let_11 _let_16 _let_10 _let_15 _let_9 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_55 _let_13 _let_12 _let_9 _let_111 (not _let_112)))) _let_58 _let_49 _let_54 _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_113) :args (tptp.a_fox tptp.a_bird tptp.a_grain QUANTIFIERS_INST_CBQI_PROP)) :args _let_113)) (AND_ELIM _let_46 :args (19)) :args (_let_112 false _let_28)) :args (_let_111 false _let_39 false _let_3 false _let_4 false _let_8 false _let_112)) _let_110 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_73))) :args ((or _let_69 _let_13 _let_11 _let_72 _let_65 _let_71 _let_67 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_74 _let_68 (not _let_84)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_85) :args (tptp.a_wolf QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 k_12 X) false))))) :args _let_85)) (AND_ELIM _let_46 :args (0)) :args (_let_84 false _let_45)) :args (_let_68 false _let_42 false _let_84)) _let_49 _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_74 _let_55 _let_81 (not _let_82)))) _let_77 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_83) :args (tptp.a_wolf tptp.a_grain QUANTIFIERS_INST_CBQI_PROP)) :args _let_83)) (AND_ELIM _let_46 :args (15)) :args (_let_82 false _let_32)) :args (_let_81 false _let_42 false _let_39 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_74 _let_19 _let_78 (not _let_79)))) _let_77 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_80) :args (tptp.a_fox tptp.a_wolf QUANTIFIERS_INST_E_MATCHING ((ho_3 k_2 W) (not (= (ho_4 k_13 F) false))))) :args _let_80)) (AND_ELIM _let_46 :args (14)) :args (_let_79 false _let_33)) :args (_let_78 false _let_42 false _let_18 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_19 _let_66 (not _let_75)))) _let_77 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_76) :args (tptp.a_fox tptp.a_wolf QUANTIFIERS_INST_E_MATCHING ((ho_3 k_14 F) (not (= (ho_4 k_12 W) false))))) :args _let_76)) (AND_ELIM _let_46 :args (13)) :args (_let_75 false _let_34)) :args (_let_66 false _let_42 false _let_18 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.a_wolf tptp.a_grain tptp.a_fox tptp.a_grain QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_62 :args (_let_73 false _let_37)) :args (_let_65 false _let_68 false _let_3 false _let_5 true _let_72 true _let_71 false _let_66 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.a_fox tptp.a_grain tptp.a_bird tptp.a_grain QUANTIFIERS_INST_E_MATCHING ((not (= (ho_4 (ho_3 k_2 A) P) true)) (not (= (ho_4 (ho_3 k_14 S) A) false)) (not (= (ho_4 k_10 O) false))))) :args _let_63)) _let_62 :args (_let_17 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_19 _let_50 _let_6 (not _let_60)))) _let_48 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (tptp.a_bird tptp.a_fox QUANTIFIERS_INST_E_MATCHING ((not (= (ho_4 k_11 B) false)) (not (= (ho_4 k_13 F) false))))) :args _let_61)) (AND_ELIM _let_46 :args (12)) :args (_let_60 false _let_35)) :args (_let_6 false _let_18 false _let_41 false _let_60)) _let_59 _let_54 _let_49 :args (false true _let_15 false _let_8 true _let_16 false _let_17 false _let_6 false _let_5 false _let_4 false _let_3)) :args (_let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.72 )
% 0.21/0.72 % SZS output end Proof for PUZ094^5
% 0.21/0.72 % cvc5---1.0.5 exiting
% 0.21/0.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------