TSTP Solution File: SEV198^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV198^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 19:21:50 EDT 2023
% Result : Timeout 299.88s 300.21s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV198^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : do_cvc5 %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu Aug 24 02:36:56 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.39 %----Proving TH0
% 20.30/20.51 %------------------------------------------------------------------------------
% 20.30/20.51 % File : SEV198^5 : TPTP v8.1.2. Released v4.0.0.
% 20.30/20.51 % Domain : Set Theory (Sets of sets)
% 20.30/20.51 % Problem : TPS problem from S-THMS
% 20.30/20.51 % Version : Especial.
% 20.30/20.51 % English :
% 20.30/20.51
% 20.30/20.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 20.30/20.51 % Source : [Bro09]
% 20.30/20.51 % Names : tps_1117 [Bro09]
% 20.30/20.51
% 20.30/20.51 % Status : Theorem
% 20.30/20.51 % Rating : 0.92 v8.1.0, 1.00 v4.0.0
% 20.30/20.51 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 20.30/20.51 % Number of atoms : 13 ( 12 equ; 0 cnn)
% 20.30/20.51 % Maximal formula atoms : 13 ( 13 avg)
% 20.30/20.51 % Number of connectives : 41 ( 1 ~; 2 |; 9 &; 24 @)
% 20.30/20.51 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 20.30/20.51 % Maximal formula depth : 25 ( 25 avg)
% 20.30/20.51 % Number of types : 2 ( 1 usr)
% 20.30/20.51 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 20.30/20.51 % Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% 20.30/20.51 % Number of variables : 16 ( 0 ^; 10 !; 6 ?; 16 :)
% 20.30/20.51 % SPC : TH0_THM_EQU_NAR
% 20.30/20.51
% 20.30/20.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 20.30/20.51 % project in the Department of Mathematical Sciences at Carnegie
% 20.30/20.51 % Mellon University. Distributed under the Creative Commons copyleft
% 20.30/20.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 20.30/20.51 %------------------------------------------------------------------------------
% 20.30/20.51 thf(a_type,type,
% 20.30/20.51 a: $tType ).
% 20.30/20.51
% 20.30/20.51 thf(c0,type,
% 20.30/20.51 c0: a ).
% 20.30/20.51
% 20.30/20.51 thf(x,type,
% 20.30/20.51 x: a ).
% 20.30/20.51
% 20.30/20.51 thf(cP,type,
% 20.30/20.51 cP: a > a > a ).
% 20.30/20.51
% 20.30/20.51 thf(cS_INCL_LEM6_pme,conjecture,
% 20.30/20.51 ( ( ! [Xx0: a,Xy: a,Xu: a,Xv: a] :
% 20.30/20.51 ( ( ( cP @ Xx0 @ Xu )
% 20.30/20.51 = ( cP @ Xy @ Xv ) )
% 20.30/20.51 => ( ( Xx0 = Xy )
% 20.30/20.51 & ( Xu = Xv ) ) )
% 20.30/20.51 & ! [Xx0: a,Xy: a] :
% 20.30/20.51 ( ( cP @ Xx0 @ Xy )
% 20.30/20.51 != c0 ) )
% 20.30/20.51 => ( ! [R: a > a > a > $o] :
% 20.30/20.51 ( ( $true
% 20.30/20.51 & ! [Xa: a,Xb: a,Xc: a] :
% 20.30/20.51 ( ( ( ( Xa = c0 )
% 20.30/20.51 & ( Xb = Xc ) )
% 20.30/20.51 | ( ( Xb = c0 )
% 20.30/20.51 & ( Xa = Xc ) )
% 20.30/20.51 | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
% 20.30/20.51 ( ( Xa
% 20.30/20.51 = ( cP @ Xx1 @ Xx2 ) )
% 20.30/20.51 & ( Xb
% 20.30/20.51 = ( cP @ Xy1 @ Xy2 ) )
% 20.30/20.51 & ( Xc
% 20.30/20.51 = ( cP @ Xz1 @ Xz2 ) )
% 20.30/20.51 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 20.30/20.51 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 20.30/20.51 => ( R @ Xa @ Xb @ Xc ) ) )
% 20.30/20.51 => ( R @ x @ c0 @ c0 ) )
% 20.30/20.51 => ( x = c0 ) ) ) ).
% 20.30/20.51
% 20.30/20.51 %------------------------------------------------------------------------------
% 20.30/20.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TPbIw1KNsO/cvc5---1.0.5_7859.p...
% 20.30/20.51 (declare-sort $$unsorted 0)
% 20.30/20.51 (declare-sort tptp.a 0)
% 20.30/20.51 (declare-fun tptp.c0 () tptp.a)
% 20.30/20.51 (declare-fun tptp.x () tptp.a)
% 20.30/20.51 (declare-fun tptp.cP (tptp.a tptp.a) tptp.a)
% 20.30/20.51 (assert (not (=> (and (forall ((Xx0 tptp.a) (Xy tptp.a) (Xu tptp.a) (Xv tptp.a)) (=> (= (@ (@ tptp.cP Xx0) Xu) (@ (@ tptp.cP Xy) Xv)) (and (= Xx0 Xy) (= Xu Xv)))) (forall ((Xx0 tptp.a) (Xy tptp.a)) (not (= (@ (@ tptp.cP Xx0) Xy) tptp.c0)))) (=> (forall ((R (-> tptp.a tptp.a tptp.a Bool))) (=> (and true (forall ((Xa tptp.a) (Xb tptp.a) (Xc tptp.a)) (=> (or (and (= Xa tptp.c0) (= Xb Xc)) (and (= Xb tptp.c0) (= Xa Xc)) (exists ((Xx1 tptp.a) (Xx2 tptp.a) (Xy1 tptp.a) (Xy2 tptp.a) (Xz1 tptp.a) (Xz2 tptp.a)) (and (= Xa (@ (@ tptp.cP Xx1) Xx2)) (= Xb (@ (@ tptp.cP Xy1) Xy2)) (= Xc (@ (@ tptp.cP Xz1) Xz2)) (@ (@ (@ R Xx1) Xy1) Xz1) (@ (@ (@ R Xx2) Xy2) Xz2)))) (@ (@ (@ R Xa) Xb) Xc)))) (@ (@ (@ R tptp.x) tptp.c0) tptp.c0))) (= tptp.x tptp.c0)))))
% 20.30/20.51 (set-info :filename cvc5---1.0.5_7859)
% 20.30/20.51 (check-sat-assuming ( true ))
% 20.30/20.51 ------- get file name : TPTP file name is SEV198^5
% 20.30/20.51 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7859.smt2...
% 20.30/20.51 --- Run --ho-elim --full-saturate-quant at 10...
% 20.30/20.51 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 20.30/20.51 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-satu/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 8036 Alarm clock ( read result; case "$result" in
% 299.88/300.21 unsat)
% 299.88/300.21 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.88/300.21 ;;
% 299.88/300.21 sat)
% 299.88/300.21 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.88/300.21 ;;
% 299.88/300.21 esac; exit 1 )
% 299.88/300.21 rate-quant at 10...
% 299.88/300.21 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 299.88/300.21 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 299.88/300.21 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 299.88/300.21 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 299.88/300.21 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 299.88/300.21 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 299.88/300.21 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 299.88/300.21 % cvc5---1.0.5 exiting
% 299.88/300.21 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------