%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV412+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 : n005.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 4.68s 2.25s
% Output : CNFRefutation 4.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 3 |; 3 &)
% ( 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 : 14 ( 14 !; 0 ?; 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_168,negated_conjecture,
~ ! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l48_co) ).
tff(f_158,lemma,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l48_li3839) ).
tff(c_60,plain,
pair_in_list('#skF_1','#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_56,plain,
strictly_less_than('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_1154,plain,
! [U_129,X_130,V_131,W_132] :
( pair_in_list(update_slb(U_129,X_130),V_131,X_130)
| ~ strictly_less_than(W_132,X_130)
| ~ pair_in_list(U_129,V_131,W_132) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_1164,plain,
! [U_133,V_134] :
( pair_in_list(update_slb(U_133,'#skF_4'),V_134,'#skF_4')
| ~ pair_in_list(U_133,V_134,'#skF_3') ),
inference(resolution,[status(thm)],[c_56,c_1154]) ).
tff(c_54,plain,
~ pair_in_list(update_slb('#skF_1','#skF_4'),'#skF_2','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_1167,plain,
~ pair_in_list('#skF_1','#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_1164,c_54]) ).
tff(c_1175,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_1167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWV412+1 : TPTP v9.0.0. Released v3.3.0.
% 0.02/0.11 % 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
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Apr 9 03:11:57 EDT 2025
% 0.10/0.32 % CPUTime :
% 4.68/2.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.68/2.26
% 4.68/2.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------