%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU121+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 : n029.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 08:52:49 PM UTC 2025
% Result : Theorem 3.03s 1.73s
% Output : CNFRefutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 12 ~; 14 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > empty > #nlpp > empty_set > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_4 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(empty,type,
empty: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_54,negated_conjecture,
~ ! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
tff(f_38,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
tff(c_20,plain,
~ subset('#skF_4','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_24,plain,
subset('#skF_4','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_22,plain,
subset('#skF_5','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_8,plain,
! [A_3,B_4] :
( in('#skF_1'(A_3,B_4),A_3)
| subset(A_3,B_4) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_76,plain,
! [C_28,B_29,A_30] :
( in(C_28,B_29)
| ~ in(C_28,A_30)
| ~ subset(A_30,B_29) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_86,plain,
! [A_35,B_36,B_37] :
( in('#skF_1'(A_35,B_36),B_37)
| ~ subset(A_35,B_37)
| subset(A_35,B_36) ),
inference(resolution,[status(thm)],[c_8,c_76]) ).
tff(c_4,plain,
! [C_7,B_4,A_3] :
( in(C_7,B_4)
| ~ in(C_7,A_3)
| ~ subset(A_3,B_4) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_133,plain,
! [A_44,B_45,B_46,B_47] :
( in('#skF_1'(A_44,B_45),B_46)
| ~ subset(B_47,B_46)
| ~ subset(A_44,B_47)
| subset(A_44,B_45) ),
inference(resolution,[status(thm)],[c_86,c_4]) ).
tff(c_146,plain,
! [A_48,B_49] :
( in('#skF_1'(A_48,B_49),'#skF_6')
| ~ subset(A_48,'#skF_5')
| subset(A_48,B_49) ),
inference(resolution,[status(thm)],[c_22,c_133]) ).
tff(c_6,plain,
! [A_3,B_4] :
( ~ in('#skF_1'(A_3,B_4),B_4)
| subset(A_3,B_4) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_162,plain,
! [A_50] :
( ~ subset(A_50,'#skF_5')
| subset(A_50,'#skF_6') ),
inference(resolution,[status(thm)],[c_146,c_6]) ).
tff(c_173,plain,
subset('#skF_4','#skF_6'),
inference(resolution,[status(thm)],[c_24,c_162]) ).
tff(c_180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU121+1 : TPTP v9.0.0. Released v3.3.0.
% 0.10/0.12 % 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
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 8 22:04:49 EDT 2025
% 0.12/0.32 % CPUTime :
% 3.03/1.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.03/1.73
% 3.03/1.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------