TSTP Solution File: PUZ093^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ093^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : PUZ093^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08 % Command : do_cvc5 %s %d
% 0.09/0.27 % Computer : n026.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Sat Aug 26 22:21:18 EDT 2023
% 0.09/0.27 % CPUTime :
% 0.12/0.35 %----Proving TH0
% 0.12/0.36 %------------------------------------------------------------------------------
% 0.12/0.36 % File : PUZ093^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.36 % Domain : Puzzles
% 0.12/0.36 % Problem : TPS problem from BASIC-HO-EQ-THMS
% 0.12/0.36 % Version : Especial.
% 0.12/0.36 % English :
% 0.12/0.36
% 0.12/0.36 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.12/0.36 % Source : [Bro09]
% 0.12/0.36 % Names : tps_1207 [Bro09]
% 0.12/0.36
% 0.12/0.36 % Status : Theorem
% 0.12/0.36 % Rating : 0.00 v7.4.0, 0.22 v7.2.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.00 v6.1.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.12/0.36 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.12/0.36 % Number of atoms : 32 ( 32 equ; 0 cnn)
% 0.12/0.36 % Maximal formula atoms : 32 ( 32 avg)
% 0.12/0.36 % Number of connectives : 107 ( 12 ~; 5 |; 19 &; 64 @)
% 0.12/0.36 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.12/0.36 % Maximal formula depth : 25 ( 25 avg)
% 0.12/0.36 % Number of types : 1 ( 0 usr)
% 0.12/0.36 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.12/0.36 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.12/0.36 % Number of variables : 13 ( 0 ^; 1 !; 12 ?; 13 :)
% 0.12/0.36 % SPC : TH0_THM_EQU_NAR
% 0.12/0.36
% 0.12/0.36 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.12/0.36 % project in the Department of Mathematical Sciences at Carnegie
% 0.12/0.36 % Mellon University. Distributed under the Creative Commons copyleft
% 0.12/0.36 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.12/0.36 %------------------------------------------------------------------------------
% 0.12/0.36 thf(cSIXFRIENDS_PTH,conjecture,
% 0.12/0.36 ? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
% 0.12/0.36 ! [P: $i > $i] :
% 0.12/0.36 ( ( ( ( ( ( P @ Xa )
% 0.12/0.36 = ( P @ Xaa ) )
% 0.12/0.36 & ( ( P @ Xb )
% 0.12/0.36 = ( P @ Xbb ) )
% 0.12/0.36 & ( ( P @ Xe )
% 0.12/0.36 = ( P @ Xhh ) ) )
% 0.12/0.36 => ( ( P @ Xc )
% 0.12/0.36 = ( P @ Xdd ) ) )
% 0.12/0.36 & ( ( ( ( P @ Xa )
% 0.12/0.36 = ( P @ Xaa ) )
% 0.12/0.36 & ( ( P @ Xh )
% 0.12/0.36 = ( P @ Xhh ) )
% 0.12/0.36 & ( ( P @ Xb )
% 0.12/0.36 = ( P @ Xcc ) ) )
% 0.12/0.36 => ( ( P @ Xd )
% 0.12/0.36 != ( P @ Xee ) ) )
% 0.12/0.36 & ( ( ( ( P @ Xc )
% 0.12/0.36 = ( P @ Xcc ) )
% 0.12/0.36 & ( ( P @ Xcc )
% 0.12/0.36 = ( P @ Xd ) )
% 0.12/0.36 & ( ( P @ Xd )
% 0.12/0.36 = ( P @ Xdd ) )
% 0.12/0.36 & ( ( P @ Xa )
% 0.12/0.36 != ( P @ Xbb ) ) )
% 0.12/0.36 => ( ( P @ Xe )
% 0.12/0.36 != ( P @ Xhh ) ) )
% 0.12/0.36 & ( ( ( ( P @ Xa )
% 0.12/0.36 = ( P @ Xaa ) )
% 0.12/0.36 & ( ( P @ Xd )
% 0.12/0.36 = ( P @ Xdd ) )
% 0.12/0.36 & ( ( P @ Xb )
% 0.12/0.36 != ( P @ Xcc ) ) )
% 0.12/0.36 => ( ( P @ Xe )
% 0.12/0.36 = ( P @ Xhh ) ) )
% 0.12/0.36 & ( ( ( ( P @ Xe )
% 0.12/0.36 = ( P @ Xee ) )
% 0.12/0.36 & ( ( P @ Xh )
% 0.12/0.36 = ( P @ Xhh ) )
% 0.12/0.36 & ( ( P @ Xc )
% 0.12/0.36 = ( P @ Xdd ) ) )
% 0.12/0.36 => ( ( P @ Xa )
% 0.12/0.36 != ( P @ Xbb ) ) )
% 0.12/0.36 & ( ( ( ( P @ Xb )
% 0.12/0.36 = ( P @ Xbb ) )
% 0.12/0.36 & ( ( P @ Xbb )
% 0.12/0.36 = ( P @ Xc ) )
% 0.12/0.36 & ( ( P @ Xc )
% 0.12/0.36 = ( P @ Xcc ) )
% 0.12/0.36 & ( ( P @ Xe )
% 0.12/0.36 != ( P @ Xhh ) ) )
% 0.12/0.36 => ( ( P @ Xd )
% 0.12/0.36 = ( P @ Xee ) ) ) )
% 0.12/0.36 => ( ( ( P @ Xa )
% 0.12/0.36 != ( P @ Xaa ) )
% 0.12/0.36 | ( ( P @ Xb )
% 0.12/0.36 != ( P @ Xbb ) )
% 0.12/0.36 | ( ( P @ Xc )
% 0.12/0.36 != ( P @ Xcc ) )
% 0.12/0.36 | ( ( P @ Xd )
% 0.12/0.36 != ( P @ Xdd ) )
% 0.12/0.36 | ( ( P @ Xe )
% 0.12/0.36 != ( P @ Xee ) )
% 0.12/0.36 | ( ( P @ Xh )
% 0.12/0.36 != ( P @ Xhh ) ) ) ) ).
% 0.12/0.36
% 0.12/0.36 %------------------------------------------------------------------------------
% 0.12/0.36 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Sy0CQWbtUa/cvc5---1.0.5_30689.p...
% 0.12/0.36 (declare-sort $$unsorted 0)
% 0.12/0.36 (assert (not (exists ((Xa $$unsorted) (Xaa $$unsorted) (Xb $$unsorted) (Xbb $$unsorted) (Xc $$unsorted) (Xcc $$unsorted) (Xd $$unsorted) (Xdd $$unsorted) (Xe $$unsorted) (Xee $$unsorted) (Xh $$unsorted) (Xhh $$unsorted)) (forall ((P (-> $$unsorted $$unsorted))) (let ((_let_1 (@ P Xhh))) (let ((_let_2 (= (@ P Xh) _let_1))) (let ((_let_3 (@ P Xee))) (let ((_let_4 (@ P Xe))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (@ P Xdd))) (let ((_let_7 (@ P Xd))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (@ P Xcc))) (let ((_let_10 (@ P Xc))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (@ P Xbb))) (let ((_let_13 (@ P Xb))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (@ P Xa))) (let ((_let_16 (= _let_15 (@ P Xaa)))) (let ((_let_17 (= _let_7 _let_3))) (let ((_let_18 (= _let_4 _let_1))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not (= _let_15 _let_12)))) (let ((_let_21 (= _let_10 _let_6))) (let ((_let_22 (= _let_13 _let_9))) (=> (and (=> (and _let_16 _let_14 _let_18) _let_21) (=> (and _let_16 _let_2 _let_22) (not _let_17)) (=> (and _let_11 (= _let_9 _let_7) _let_8 _let_20) _let_19) (=> (and _let_16 _let_8 (not _let_22)) _let_18) (=> (and _let_5 _let_2 _let_21) _let_20) (=> (and _let_14 (= _let_12 _let_10) _let_11 _let_19) _let_17)) (or (not _let_16) (not _let_14) (not _let_11) (not _let_8) (not _let_5) (not _let_2)))))))))))))))))))))))))))))
% 0.12/0.37 (set-info :filename cvc5---1.0.5_30689)
% 0.12/0.37 (check-sat-assuming ( true ))
% 0.12/0.37 ------- get file name : TPTP file name is PUZ093^5
% 0.12/0.37 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30689.smt2...
% 0.12/0.37 --- Run --ho-elim --full-saturate-quant at 10...
% 0.12/0.37 % SZS status Theorem for PUZ093^5
% 0.12/0.37 % SZS output start Proof for PUZ093^5
% 0.12/0.37 (
% 0.12/0.37 (let ((_let_1 (not (exists ((Xa $$unsorted) (Xaa $$unsorted) (Xb $$unsorted) (Xbb $$unsorted) (Xc $$unsorted) (Xcc $$unsorted) (Xd $$unsorted) (Xdd $$unsorted) (Xe $$unsorted) (Xee $$unsorted) (Xh $$unsorted) (Xhh $$unsorted)) (forall ((P (-> $$unsorted $$unsorted))) (let ((_let_1 (@ P Xhh))) (let ((_let_2 (= (@ P Xh) _let_1))) (let ((_let_3 (@ P Xee))) (let ((_let_4 (@ P Xe))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (@ P Xdd))) (let ((_let_7 (@ P Xd))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (@ P Xcc))) (let ((_let_10 (@ P Xc))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (@ P Xbb))) (let ((_let_13 (@ P Xb))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (@ P Xa))) (let ((_let_16 (= _let_15 (@ P Xaa)))) (let ((_let_17 (= _let_7 _let_3))) (let ((_let_18 (= _let_4 _let_1))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not (= _let_15 _let_12)))) (let ((_let_21 (= _let_10 _let_6))) (let ((_let_22 (= _let_13 _let_9))) (=> (and (=> (and _let_16 _let_14 _let_18) _let_21) (=> (and _let_16 _let_2 _let_22) (not _let_17)) (=> (and _let_11 (= _let_9 _let_7) _let_8 _let_20) _let_19) (=> (and _let_16 _let_8 (not _let_22)) _let_18) (=> (and _let_5 _let_2 _let_21) _let_20) (=> (and _let_14 (= _let_12 _let_10) _let_11 _let_19) _let_17)) (or (not _let_16) (not _let_14) (not _let_11) (not _let_8) (not _let_5) (not _let_2)))))))))))))))))))))))))))))) (let ((_let_2 (forall ((Xa $$unsorted) (Xaa $$unsorted) (Xb $$unsorted) (Xbb $$unsorted) (Xc $$unsorted) (Xcc $$unsorted) (Xd $$unsorted) (Xdd $$unsorted) (Xe $$unsorted) (Xee $$unsorted) (Xh $$unsorted) (Xhh $$unsorted)) (not (forall ((BOUND_VARIABLE_702 |u_(-> $$unsorted $$unsorted)|)) (let ((_let_1 (ho_2 BOUND_VARIABLE_702 Xhh))) (let ((_let_2 (= (ho_2 BOUND_VARIABLE_702 Xh) _let_1))) (let ((_let_3 (ho_2 BOUND_VARIABLE_702 Xee))) (let ((_let_4 (ho_2 BOUND_VARIABLE_702 Xe))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (ho_2 BOUND_VARIABLE_702 Xdd))) (let ((_let_7 (ho_2 BOUND_VARIABLE_702 Xd))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (ho_2 BOUND_VARIABLE_702 Xcc))) (let ((_let_10 (ho_2 BOUND_VARIABLE_702 Xc))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (ho_2 BOUND_VARIABLE_702 Xbb))) (let ((_let_13 (ho_2 BOUND_VARIABLE_702 Xb))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (ho_2 BOUND_VARIABLE_702 Xa))) (let ((_let_16 (= (ho_2 BOUND_VARIABLE_702 Xaa) _let_15))) (let ((_let_17 (= _let_3 _let_7))) (let ((_let_18 (= _let_1 _let_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (= _let_12 _let_15))) (let ((_let_21 (= _let_6 _let_10))) (let ((_let_22 (= _let_9 _let_13))) (or (and _let_16 _let_14 _let_18 (not _let_21)) (and _let_16 _let_2 _let_22 _let_17) (and _let_11 (= _let_7 _let_9) _let_8 (not _let_20) _let_18) (and _let_16 _let_8 (not _let_22) _let_19) (and _let_5 _let_2 _let_21 _let_20) (and _let_14 (= _let_10 _let_12) _let_11 _let_19 (not _let_17)) (not _let_16) (not _let_14) (not _let_11) (not _let_8) (not _let_5) (not _let_2))))))))))))))))))))))))))))) (let ((_let_3 (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_4 (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_5 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Xa $$unsorted) (Xaa $$unsorted) (Xb $$unsorted) (Xbb $$unsorted) (Xc $$unsorted) (Xcc $$unsorted) (Xd $$unsorted) (Xdd $$unsorted) (Xe $$unsorted) (Xee $$unsorted) (Xh $$unsorted) (Xhh $$unsorted)) (not (forall ((P (-> $$unsorted $$unsorted))) (let ((_let_1 (@ P Xhh))) (let ((_let_2 (= _let_1 (@ P Xh)))) (let ((_let_3 (@ P Xe))) (let ((_let_4 (@ P Xee))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (@ P Xd))) (let ((_let_7 (@ P Xdd))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (@ P Xc))) (let ((_let_10 (@ P Xcc))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (@ P Xb))) (let ((_let_13 (@ P Xbb))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (@ P Xa))) (let ((_let_16 (= _let_15 (@ P Xaa)))) (let ((_let_17 (= _let_4 _let_6))) (let ((_let_18 (= _let_1 _let_3))) (let ((_let_19 (not _let_18))) (let ((_let_20 (= _let_13 _let_15))) (let ((_let_21 (= _let_7 _let_9))) (let ((_let_22 (= _let_10 _let_12))) (or (and _let_16 _let_14 _let_18 (not _let_21)) (and _let_16 _let_2 _let_22 _let_17) (and _let_11 (= _let_6 _let_10) _let_8 (not _let_20) _let_18) (and _let_16 _let_8 (not _let_22) _let_19) (and _let_5 _let_2 _let_21 _let_20) (and _let_14 (= _let_9 _let_13) _let_11 _let_19 (not _let_17)) (not _let_16) (not _let_14) (not _let_11) (not _let_8) (not _let_5) (not _let_2))))))))))))))))))))))))))) _let_2))))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_5 :args (e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 e_$$unsorted_6 QUANTIFIERS_INST_ENUM)) :args (_let_2))) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_5 (PREPROCESS :args ((and _let_4 _let_3)))) :args ((and _let_2 _let_4 _let_3))) :args (0)) :args (false false _let_2)) :args (_let_1 true))))))))
% 0.12/0.38 )
% 0.12/0.38 % SZS output end Proof for PUZ093^5
% 0.12/0.38 % cvc5---1.0.5 exiting
% 0.12/0.38 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------