TSTP Solution File: PUZ092^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ092^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:13:21 EDT 2023
% Result : Theorem 0.24s 0.58s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : PUZ092^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.16 % Command : do_cvc5 %s %d
% 0.17/0.38 % Computer : n014.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Sat Aug 26 22:09:17 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.24/0.54 %----Proving TH0
% 0.24/0.55 %------------------------------------------------------------------------------
% 0.24/0.55 % File : PUZ092^5 : TPTP v8.1.2. Released v4.0.0.
% 0.24/0.55 % Domain : Puzzles
% 0.24/0.55 % Problem : TPS problem from BASIC-HO-EQ-THMS
% 0.24/0.55 % Version : Especial.
% 0.24/0.55 % English :
% 0.24/0.55
% 0.24/0.55 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.24/0.55 % Source : [Bro09]
% 0.24/0.55 % Names : tps_1179 [Bro09]
% 0.24/0.55
% 0.24/0.55 % Status : Theorem
% 0.24/0.55 % Rating : 0.08 v8.1.0, 0.09 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.29 v6.1.0, 0.43 v5.5.0, 0.33 v5.4.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.67 v4.0.0
% 0.24/0.55 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.24/0.55 % Number of atoms : 32 ( 32 equ; 0 cnn)
% 0.24/0.55 % Maximal formula atoms : 32 ( 32 avg)
% 0.24/0.55 % Number of connectives : 43 ( 12 ~; 5 |; 19 &; 0 @)
% 0.24/0.55 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.24/0.55 % Maximal formula depth : 24 ( 24 avg)
% 0.24/0.55 % Number of types : 1 ( 0 usr)
% 0.24/0.55 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.24/0.55 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.24/0.55 % Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% 0.24/0.55 % SPC : TH0_THM_EQU_NAR
% 0.24/0.55
% 0.24/0.55 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.24/0.55 % project in the Department of Mathematical Sciences at Carnegie
% 0.24/0.55 % Mellon University. Distributed under the Creative Commons copyleft
% 0.24/0.55 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.24/0.55 %------------------------------------------------------------------------------
% 0.24/0.55 thf(cSIXFRIENDS_EASIER,conjecture,
% 0.24/0.55 ! [ACRES: $i,MRSACRES: $i,BARRY: $i,MRSBARRY: $i,COLE: $i,MRSCOLE: $i,DIX: $i,MRSDIX: $i,EDEN: $i,MRSEDEN: $i,HALL: $i,MRSHALL: $i] :
% 0.24/0.55 ( ( ( ( ( ACRES = MRSACRES )
% 0.24/0.55 & ( BARRY = MRSBARRY )
% 0.24/0.55 & ( EDEN = MRSHALL ) )
% 0.24/0.55 => ( COLE = MRSDIX ) )
% 0.24/0.55 & ( ( ( ACRES = MRSACRES )
% 0.24/0.55 & ( HALL = MRSHALL )
% 0.24/0.55 & ( BARRY = MRSCOLE ) )
% 0.24/0.55 => ( DIX != MRSEDEN ) )
% 0.24/0.55 & ( ( ( COLE = MRSCOLE )
% 0.24/0.55 & ( DIX = MRSDIX )
% 0.24/0.55 & ( DIX = COLE )
% 0.24/0.55 & ( ACRES != MRSBARRY ) )
% 0.24/0.55 => ( EDEN != MRSHALL ) )
% 0.24/0.55 & ( ( ( ACRES = MRSACRES )
% 0.24/0.55 & ( DIX = MRSDIX )
% 0.24/0.55 & ( BARRY != MRSCOLE ) )
% 0.24/0.55 => ( EDEN = MRSHALL ) )
% 0.24/0.55 & ( ( ( EDEN = MRSEDEN )
% 0.24/0.55 & ( HALL = MRSHALL )
% 0.24/0.55 & ( COLE = MRSDIX ) )
% 0.24/0.55 => ( ACRES != MRSBARRY ) )
% 0.24/0.55 & ( ( ( BARRY = MRSBARRY )
% 0.24/0.55 & ( COLE = MRSCOLE )
% 0.24/0.55 & ( COLE = BARRY )
% 0.24/0.55 & ( EDEN != MRSHALL ) )
% 0.24/0.55 => ( DIX = MRSEDEN ) ) )
% 0.24/0.55 => ( ( ACRES != MRSACRES )
% 0.24/0.55 | ( BARRY != MRSBARRY )
% 0.24/0.55 | ( COLE != MRSCOLE )
% 0.24/0.55 | ( DIX != MRSDIX )
% 0.24/0.55 | ( EDEN != MRSEDEN )
% 0.24/0.55 | ( HALL != MRSHALL ) ) ) ).
% 0.24/0.55
% 0.24/0.55 %------------------------------------------------------------------------------
% 0.24/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Xe6SZ5dX4U/cvc5---1.0.5_2309.p...
% 0.24/0.55 (declare-sort $$unsorted 0)
% 0.24/0.55 (assert (not (forall ((ACRES $$unsorted) (MRSACRES $$unsorted) (BARRY $$unsorted) (MRSBARRY $$unsorted) (COLE $$unsorted) (MRSCOLE $$unsorted) (DIX $$unsorted) (MRSDIX $$unsorted) (EDEN $$unsorted) (MRSEDEN $$unsorted) (HALL $$unsorted) (MRSHALL $$unsorted)) (let ((_let_1 (= HALL MRSHALL))) (let ((_let_2 (= EDEN MRSEDEN))) (let ((_let_3 (= DIX MRSDIX))) (let ((_let_4 (= COLE MRSCOLE))) (let ((_let_5 (= BARRY MRSBARRY))) (let ((_let_6 (= ACRES MRSACRES))) (let ((_let_7 (= DIX MRSEDEN))) (let ((_let_8 (= EDEN MRSHALL))) (let ((_let_9 (not _let_8))) (let ((_let_10 (not (= ACRES MRSBARRY)))) (let ((_let_11 (= COLE MRSDIX))) (let ((_let_12 (= BARRY MRSCOLE))) (=> (and (=> (and _let_6 _let_5 _let_8) _let_11) (=> (and _let_6 _let_1 _let_12) (not _let_7)) (=> (and _let_4 _let_3 (= DIX COLE) _let_10) _let_9) (=> (and _let_6 _let_3 (not _let_12)) _let_8) (=> (and _let_2 _let_1 _let_11) _let_10) (=> (and _let_5 _let_4 (= COLE BARRY) _let_9) _let_7)) (or (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) (not _let_1))))))))))))))))))
% 0.24/0.58 (set-info :filename cvc5---1.0.5_2309)
% 0.24/0.58 (check-sat-assuming ( true ))
% 0.24/0.58 ------- get file name : TPTP file name is PUZ092^5
% 0.24/0.58 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2309.smt2...
% 0.24/0.58 --- Run --ho-elim --full-saturate-quant at 10...
% 0.24/0.58 % SZS status Theorem for PUZ092^5
% 0.24/0.58 % SZS output start Proof for PUZ092^5
% 0.24/0.58 (
% 0.24/0.58 (let ((_let_1 (not (forall ((ACRES $$unsorted) (MRSACRES $$unsorted) (BARRY $$unsorted) (MRSBARRY $$unsorted) (COLE $$unsorted) (MRSCOLE $$unsorted) (DIX $$unsorted) (MRSDIX $$unsorted) (EDEN $$unsorted) (MRSEDEN $$unsorted) (HALL $$unsorted) (MRSHALL $$unsorted)) (let ((_let_1 (= HALL MRSHALL))) (let ((_let_2 (= EDEN MRSEDEN))) (let ((_let_3 (= DIX MRSDIX))) (let ((_let_4 (= COLE MRSCOLE))) (let ((_let_5 (= BARRY MRSBARRY))) (let ((_let_6 (= ACRES MRSACRES))) (let ((_let_7 (= DIX MRSEDEN))) (let ((_let_8 (= EDEN MRSHALL))) (let ((_let_9 (not _let_8))) (let ((_let_10 (not (= ACRES MRSBARRY)))) (let ((_let_11 (= COLE MRSDIX))) (let ((_let_12 (= BARRY MRSCOLE))) (=> (and (=> (and _let_6 _let_5 _let_8) _let_11) (=> (and _let_6 _let_1 _let_12) (not _let_7)) (=> (and _let_4 _let_3 (= DIX COLE) _let_10) _let_9) (=> (and _let_6 _let_3 (not _let_12)) _let_8) (=> (and _let_2 _let_1 _let_11) _let_10) (=> (and _let_5 _let_4 (= COLE BARRY) _let_9) _let_7)) (or (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) (not _let_1))))))))))))))))))) (let ((_let_2 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_3 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (and _let_3 _let_2))) (let ((_let_5 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (not _let_5))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_8 (not _let_7))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (and _let_9 _let_8 _let_6))) (let ((_let_11 (not _let_9))) (let ((_let_12 (and _let_11 _let_8))) (let ((_let_13 (not _let_2))) (let ((_let_14 (and _let_3 _let_13 _let_7))) (let ((_let_15 (and _let_9 _let_5))) (let ((_let_16 (not _let_3))) (let ((_let_17 (and _let_7 _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_14 _let_12 _let_4 _let_10))) (let ((_let_19 (forall ((MRSACRES $$unsorted) (MRSBARRY $$unsorted) (MRSCOLE $$unsorted) (MRSDIX $$unsorted) (MRSEDEN $$unsorted) (MRSHALL $$unsorted)) (let ((_let_1 (= MRSDIX MRSEDEN))) (let ((_let_2 (= MRSEDEN MRSHALL))) (let ((_let_3 (not _let_2))) (let ((_let_4 (= MRSBARRY MRSCOLE))) (let ((_let_5 (= MRSACRES MRSBARRY))) (let ((_let_6 (= MRSCOLE MRSDIX))) (or (and _let_2 (not _let_6)) (and _let_4 _let_1) (and _let_6 (not _let_5) _let_2) (and (not _let_4) _let_3) (and _let_6 _let_5) (and _let_4 _let_3 (not _let_1)))))))))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (or))) (let ((_let_23 (not _let_19))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args (_let_23))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_22)) _let_21 :args (_let_20 true _let_19)))) (let ((_let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))))) (let ((_let_26 (_let_12))) (let ((_let_27 (_let_10))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_27) (CONG (REFL :args _let_27) (REFL :args (_let_11)) _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_22)) :args ((or _let_7 _let_5 _let_11 _let_10))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 5)) _let_24 :args ((not _let_10) true _let_18)) (CNF_AND_NEG :args (_let_15)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 1)) _let_24 :args ((not _let_15) true _let_18)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_26) (CONG (REFL :args _let_26) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_9))) _let_25 :args _let_22)) :args ((or _let_7 _let_9 _let_12))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 3)) _let_24 :args ((not _let_12) true _let_18)) :args (_let_7 true _let_10 true _let_5 true _let_15 false _let_9 true _let_12)))) (let ((_let_29 (REFL :args (_let_8)))) (let ((_let_30 (_let_17))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_30) (CONG (REFL :args _let_30) _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_3))) :args _let_22)) :args ((or _let_3 _let_17 _let_8))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 0)) _let_24 :args ((not _let_17) true _let_18)) _let_28 :args (_let_3 true _let_17 false _let_7)))) (let ((_let_32 (_let_14))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_4)) :args ((or _let_16 _let_13 _let_4))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_32) (CONG (REFL :args _let_32) (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_2))) _let_29 :args _let_22)) :args ((or _let_16 _let_2 _let_14 _let_8))) _let_31 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 2)) _let_24 :args ((not _let_14) true _let_18)) _let_28 :args (_let_2 false _let_3 true _let_14 false _let_7)) _let_31 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 4)) _let_24 :args ((not _let_4) true _let_18)) :args (false false _let_2 false _let_3 true _let_4)) :args (_let_1 true)))))))))))))))))))))))))))))))))))
% 0.24/0.58 )
% 0.24/0.58 % SZS output end Proof for PUZ092^5
% 0.24/0.58 % cvc5---1.0.5 exiting
% 0.24/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------