%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU167+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 : n010.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 08:53:03 PM UTC 2025
% Result : Theorem 3.30s 1.81s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 9 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > cartesian_product2 > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(subset,type,
subset: ( $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('#skF_4',type,
'#skF_4': $i ).
tff(cartesian_product2,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(f_42,negated_conjecture,
~ ! [A,B,C,D] :
( ( subset(A,B)
& subset(C,D) )
=> subset(cartesian_product2(A,C),cartesian_product2(B,D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
tff(f_35,axiom,
! [A,B,C] :
( subset(A,B)
=> ( subset(cartesian_product2(A,C),cartesian_product2(B,C))
& subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
tff(f_48,axiom,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
tff(c_12,plain,
subset('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_14,plain,
subset('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_6,plain,
! [C_5,A_3,B_4] :
( subset(cartesian_product2(C_5,A_3),cartesian_product2(C_5,B_4))
| ~ subset(A_3,B_4) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_61,plain,
! [A_20,C_21,B_22] :
( subset(cartesian_product2(A_20,C_21),cartesian_product2(B_22,C_21))
| ~ subset(A_20,B_22) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_16,plain,
! [A_6,C_8,B_7] :
( subset(A_6,C_8)
| ~ subset(B_7,C_8)
| ~ subset(A_6,B_7) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_79,plain,
! [A_27,B_28,C_29,A_30] :
( subset(A_27,cartesian_product2(B_28,C_29))
| ~ subset(A_27,cartesian_product2(A_30,C_29))
| ~ subset(A_30,B_28) ),
inference(resolution,[status(thm)],[c_61,c_16]) ).
tff(c_204,plain,
! [C_47,A_48,B_49,B_50] :
( subset(cartesian_product2(C_47,A_48),cartesian_product2(B_49,B_50))
| ~ subset(C_47,B_49)
| ~ subset(A_48,B_50) ),
inference(resolution,[status(thm)],[c_6,c_79]) ).
tff(c_10,plain,
~ subset(cartesian_product2('#skF_1','#skF_3'),cartesian_product2('#skF_2','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_219,plain,
( ~ subset('#skF_1','#skF_2')
| ~ subset('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_204,c_10]) ).
tff(c_229,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU167+1 : TPTP v9.0.0. Released v3.3.0.
% 0.12/0.13 % 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
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 8 22:11:33 EDT 2025
% 0.13/0.35 % CPUTime :
% 3.30/1.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.30/1.82
% 3.30/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------