TSTP Solution File: SEV225^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV225^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 19:21:55 EDT 2023
% Result : Theorem 0.20s 0.50s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV225^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 02:54:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TH0
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 % File : SEV225^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.20/0.50 % Domain : Set Theory (Sets of sets)
% 0.20/0.50 % Problem : TPS problem from REALS-THMS
% 0.20/0.50 % Version : Especial.
% 0.20/0.50 % English :
% 0.20/0.50
% 0.20/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.50 % Source : [Bro09]
% 0.20/0.50 % Names : tps_0676 [Bro09]
% 0.20/0.50
% 0.20/0.50 % Status : Theorem
% 0.20/0.50 % Rating : 0.08 v8.1.0, 0.00 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.33 v5.4.0, 0.20 v5.3.0
% 0.20/0.50 % Syntax : Number of formulae : 6 ( 1 unt; 4 typ; 1 def)
% 0.20/0.50 % Number of atoms : 6 ( 2 equ; 0 cnn)
% 0.20/0.50 % Maximal formula atoms : 3 ( 3 avg)
% 0.20/0.50 % Number of connectives : 8 ( 2 ~; 0 |; 1 &; 4 @)
% 0.20/0.50 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.50 % Maximal formula depth : 7 ( 4 avg)
% 0.20/0.50 % Number of types : 2 ( 1 usr)
% 0.20/0.50 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.20/0.50 % Number of symbols : 4 ( 3 usr; 2 con; 0-2 aty)
% 0.20/0.50 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.20/0.50 % SPC : TH0_THM_EQU_NAR
% 0.20/0.50
% 0.20/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.50 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.20/0.50 % : v5.3.0 - Fixed tType to $tType from last bugfixes.
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 thf(r_type,type,
% 0.20/0.50 r: $tType ).
% 0.20/0.50
% 0.20/0.50 thf(c0_type,type,
% 0.20/0.50 c0: r ).
% 0.20/0.50
% 0.20/0.50 thf(less_type,type,
% 0.20/0.50 less: r > r > $o ).
% 0.20/0.50
% 0.20/0.50 thf(cIRREFLEXIVE_LAW_type,type,
% 0.20/0.50 cIRREFLEXIVE_LAW: $o ).
% 0.20/0.50
% 0.20/0.50 thf(cIRREFLEXIVE_LAW_def,definition,
% 0.20/0.50 ( cIRREFLEXIVE_LAW
% 0.20/0.50 = ( ! [Xx: r] :
% 0.20/0.50 ~ ( less @ Xx @ Xx ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(cPARNAS_FIG3_A,conjecture,
% 0.20/0.50 ( cIRREFLEXIVE_LAW
% 0.20/0.50 => ! [Xx: r] :
% 0.20/0.50 ~ ( ( less @ Xx @ c0 )
% 0.20/0.50 & ( Xx = c0 ) ) ) ).
% 0.20/0.50
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CYunQS3FlN/cvc5---1.0.5_17037.p...
% 0.20/0.50 (declare-sort $$unsorted 0)
% 0.20/0.50 (declare-sort tptp.r 0)
% 0.20/0.50 (declare-fun tptp.c0 () tptp.r)
% 0.20/0.50 (declare-fun tptp.less (tptp.r tptp.r) Bool)
% 0.20/0.50 (declare-fun tptp.cIRREFLEXIVE_LAW () Bool)
% 0.20/0.50 (assert (= tptp.cIRREFLEXIVE_LAW (forall ((Xx tptp.r)) (not (@ (@ tptp.less Xx) Xx)))))
% 0.20/0.50 (assert (not (=> tptp.cIRREFLEXIVE_LAW (forall ((Xx tptp.r)) (not (and (@ (@ tptp.less Xx) tptp.c0) (= Xx tptp.c0)))))))
% 0.20/0.50 (set-info :filename cvc5---1.0.5_17037)
% 0.20/0.50 (check-sat-assuming ( true ))
% 0.20/0.50 ------- get file name : TPTP file name is SEV225^5
% 0.20/0.50 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17037.smt2...
% 0.20/0.50 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.50 % SZS status Theorem for SEV225^5
% 0.20/0.50 % SZS output start Proof for SEV225^5
% 0.20/0.50 (
% 0.20/0.50 (let ((_let_1 (not (=> tptp.cIRREFLEXIVE_LAW (forall ((Xx tptp.r)) (not (and (@ (@ tptp.less Xx) tptp.c0) (= Xx tptp.c0)))))))) (let ((_let_2 (forall ((Xx tptp.r)) (not (@ (@ tptp.less Xx) Xx))))) (let ((_let_3 (= tptp.cIRREFLEXIVE_LAW _let_2))) (let ((_let_4 (forall ((Xx tptp.r)) (not (ho_4 (ho_3 k_2 Xx) Xx))))) (let ((_let_5 (ho_4 (ho_3 k_2 tptp.c0) tptp.c0))) (let ((_let_6 (not _let_5))) (let ((_let_7 (not (@ (@ tptp.less tptp.c0) tptp.c0)))) (let ((_let_8 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (ASSUME :args (_let_3)) :args ((not (=> tptp.cIRREFLEXIVE_LAW _let_7)) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (=> _let_2 _let_7)) (not (=> _let_4 _let_6))))))))) (let ((_let_9 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_9) :args (tptp.c0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_9)) :args ((or _let_6 (not _let_4)))) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_8)) (NOT_IMPLIES_ELIM1 _let_8) :args (false false _let_5 false _let_4)) :args (_let_3 _let_1 true))))))))))))
% 0.20/0.51 )
% 0.20/0.51 % SZS output end Proof for SEV225^5
% 0.20/0.51 % cvc5---1.0.5 exiting
% 0.20/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------