%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV400+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.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 09:30:25 PM UTC 2025
% Result : Theorem 2.96s 1.73s
% Output : CNFRefutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 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_161,negated_conjecture,
~ ! [U,V,W,X] :
( ( pair_in_list(create_slb,V,W)
& less_than(X,W) )
=> pair_in_list(update_slb(create_slb,X),V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l36_co) ).
tff(f_141,axiom,
! [U] : ( update_slb(create_slb,U) = create_slb ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax28) ).
tff(c_56,plain,
pair_in_list(create_slb,'#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_46,plain,
! [U_39] : ( update_slb(create_slb,U_39) = create_slb ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_52,plain,
~ pair_in_list(update_slb(create_slb,'#skF_4'),'#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_57,plain,
~ pair_in_list(create_slb,'#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52]) ).
tff(c_59,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV400+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n002.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 : Wed Apr 9 03:12:02 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.96/1.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.96/1.73
% 2.96/1.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------