%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV413+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n003.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 : Wed Apr 9 09:30:27 PM UTC 2025
% Result : Theorem 4.90s 2.22s
% Output : CNFRefutation 5.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 18 ( 8 ~; 4 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 14 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ pair_in_list > strictly_less_than > less_than > contains_slb > isnonempty_slb > update_slb > remove_slb > pair > lookup_slb > insert_slb > #nlpp > create_slb > bottom > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(contains_slb,type,
contains_slb: ( $i * $i ) > $o ).
tff(lookup_slb,type,
lookup_slb: ( $i * $i ) > $i ).
tff(pair_in_list,type,
pair_in_list: ( $i * $i * $i ) > $o ).
tff(less_than,type,
less_than: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(strictly_less_than,type,
strictly_less_than: ( $i * $i ) > $o ).
tff(pair,type,
pair: ( $i * $i ) > $i ).
tff(bottom,type,
bottom: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(isnonempty_slb,type,
isnonempty_slb: $i > $o ).
tff(remove_slb,type,
remove_slb: ( $i * $i ) > $i ).
tff(create_slb,type,
create_slb: $i ).
tff(insert_slb,type,
insert_slb: ( $i * $i ) > $i ).
tff(update_slb,type,
update_slb: ( $i * $i ) > $i ).
tff(f_171,negated_conjecture,
~ ! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& less_than(X,W) )
=> ? [Y] :
( pair_in_list(update_slb(U,X),V,Y)
& less_than(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l49_co) ).
tff(f_158,lemma,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& less_than(X,W) )
=> pair_in_list(update_slb(U,X),V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l49_li3637) ).
tff(c_56,plain,
less_than('#skF_4','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_60,plain,
pair_in_list('#skF_1','#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_1430,plain,
! [U_138,X_139,V_140,W_141] :
( pair_in_list(update_slb(U_138,X_139),V_140,W_141)
| ~ less_than(X_139,W_141)
| ~ pair_in_list(U_138,V_140,W_141) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_54,plain,
! [Y_53] :
( ~ less_than('#skF_4',Y_53)
| ~ pair_in_list(update_slb('#skF_1','#skF_4'),'#skF_2',Y_53) ),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_1440,plain,
! [W_142] :
( ~ less_than('#skF_4',W_142)
| ~ pair_in_list('#skF_1','#skF_2',W_142) ),
inference(resolution,[status(thm)],[c_1430,c_54]) ).
tff(c_1443,plain,
~ less_than('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_60,c_1440]) ).
tff(c_1447,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_1443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV413+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 03:12:03 EDT 2025
% 0.12/0.34 % CPUTime :
% 4.90/2.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.90/2.22
% 4.90/2.22 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------