%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP034-4 : TPTP v9.0.0. Released v1.0.0.
% 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 : n013.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 06:24:50 PM UTC 2025
% Result : Unsatisfiable 3.20s 2.29s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > subgroup_member > multiply > #nlpp > inverse > identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(identity,type,
identity: $i ).
tff(subgroup_member,type,
subgroup_member: $i > $o ).
tff(f_65,axiom,
subgroup_member(a),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X] : product(X,inverse(X),identity),
file(unknown,unknown) ).
tff(f_64,axiom,
! [A,B,C] :
( ~ subgroup_member(A)
| ~ subgroup_member(B)
| ~ product(B,inverse(A),C)
| subgroup_member(C) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X] : product(identity,X,X),
file(unknown,unknown) ).
tff(f_67,axiom,
~ subgroup_member(inverse(a)),
file(unknown,unknown) ).
tff(c_16,plain,
subgroup_member(a),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_8,plain,
! [X_5] : product(X_5,inverse(X_5),identity),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_23,plain,
! [C_26,B_27,A_28] :
( subgroup_member(C_26)
| ~ product(B_27,inverse(A_28),C_26)
| ~ subgroup_member(B_27)
| ~ subgroup_member(A_28) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_36,plain,
! [X_5] :
( subgroup_member(identity)
| ~ subgroup_member(X_5) ),
inference(resolution,[status(thm)],[c_8,c_23]) ).
tff(c_38,plain,
! [X_5] : ~ subgroup_member(X_5),
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_41,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38,c_16]) ).
tff(c_42,plain,
subgroup_member(identity),
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_4,plain,
! [X_3] : product(identity,X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_37,plain,
! [A_28] :
( subgroup_member(inverse(A_28))
| ~ subgroup_member(identity)
| ~ subgroup_member(A_28) ),
inference(resolution,[status(thm)],[c_4,c_23]) ).
tff(c_58,plain,
! [A_35] :
( subgroup_member(inverse(A_35))
| ~ subgroup_member(A_35) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_37]) ).
tff(c_18,plain,
~ subgroup_member(inverse(a)),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_61,plain,
~ subgroup_member(a),
inference(resolution,[status(thm)],[c_58,c_18]) ).
tff(c_65,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : GRP034-4 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.11 % 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
% 0.09/0.31 % Computer : n013.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 7 21:12:47 EDT 2025
% 0.09/0.32 % CPUTime :
% 3.20/2.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.32/2.30
% 3.32/2.30 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------