%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWB029+2 : TPTP v9.0.0. Released v5.2.0.
% 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 : n012.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 09:15:57 PM UTC 2025
% Result : Theorem 4.13s 2.00s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 119 ( 52 ~; 44 |; 17 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 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; 0-3 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-5 aty)
% Number of variables : 57 ( 53 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > icext > ic > #nlpp > uri_rdf_type > uri_rdf_rest > uri_rdf_nil > uri_rdf_first > uri_owl_intersectionOf > uri_owl_complementOf > uri_owl_Class > uri_ex_w > uri_ex_B > uri_ex_A > #skF_2 > #skF_5 > #skF_6 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(uri_owl_complementOf,type,
uri_owl_complementOf: $i ).
tff(uri_ex_A,type,
uri_ex_A: $i ).
tff(uri_rdf_type,type,
uri_rdf_type: $i ).
tff(uri_rdf_first,type,
uri_rdf_first: $i ).
tff(uri_owl_intersectionOf,type,
uri_owl_intersectionOf: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i * $i ) > $i ).
tff(icext,type,
icext: ( $i * $i ) > $o ).
tff(uri_ex_w,type,
uri_ex_w: $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(uri_rdf_rest,type,
uri_rdf_rest: $i ).
tff(ic,type,
ic: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(uri_owl_Class,type,
uri_owl_Class: $i ).
tff(iext,type,
iext: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(uri_rdf_nil,type,
uri_rdf_nil: $i ).
tff(uri_ex_B,type,
uri_ex_B: $i ).
tff(f_83,axiom,
? [BNODE_x,BNODE_y,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_x)
& iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_ex_A)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l2,BNODE_y)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_owl_complementOf,BNODE_y,uri_ex_A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
tff(f_28,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
tff(f_63,axiom,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_rdf_first,S1,C1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S2,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ic(Z)
& ic(C1)
& ic(C2)
& ! [X] :
( icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
tff(f_40,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ic(Z)
& ic(C)
& ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
tff(c_40,plain,
iext(uri_owl_complementOf,'#skF_4',uri_ex_A),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_48,plain,
iext(uri_rdf_first,'#skF_5',uri_ex_A),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_50,plain,
iext(uri_owl_intersectionOf,'#skF_3','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_46,plain,
iext(uri_rdf_rest,'#skF_5','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_42,plain,
iext(uri_rdf_rest,'#skF_6',uri_rdf_nil),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_52,plain,
iext(uri_rdf_type,uri_ex_w,'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_72,plain,
! [C_21,X_22] :
( icext(C_21,X_22)
| ~ iext(uri_rdf_type,X_22,C_21) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_86,plain,
icext('#skF_3',uri_ex_w),
inference(resolution,[status(thm)],[c_52,c_72]) ).
tff(c_142,plain,
! [S1_52,Z_50,X_53,C1_54,S2_51,C2_55] :
( icext(C1_54,X_53)
| ~ icext(Z_50,X_53)
| ~ iext(uri_owl_intersectionOf,Z_50,S1_52)
| ~ iext(uri_rdf_rest,S2_51,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_51,C2_55)
| ~ iext(uri_rdf_rest,S1_52,S2_51)
| ~ iext(uri_rdf_first,S1_52,C1_54) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_308,plain,
! [C1_104,S1_105,S2_106,C2_107] :
( icext(C1_104,uri_ex_w)
| ~ iext(uri_owl_intersectionOf,'#skF_3',S1_105)
| ~ iext(uri_rdf_rest,S2_106,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_106,C2_107)
| ~ iext(uri_rdf_rest,S1_105,S2_106)
| ~ iext(uri_rdf_first,S1_105,C1_104) ),
inference(resolution,[status(thm)],[c_86,c_142]) ).
tff(c_311,plain,
! [C1_104,S1_105,C2_107] :
( icext(C1_104,uri_ex_w)
| ~ iext(uri_owl_intersectionOf,'#skF_3',S1_105)
| ~ iext(uri_rdf_first,'#skF_6',C2_107)
| ~ iext(uri_rdf_rest,S1_105,'#skF_6')
| ~ iext(uri_rdf_first,S1_105,C1_104) ),
inference(resolution,[status(thm)],[c_42,c_308]) ).
tff(c_312,plain,
! [C2_107] : ~ iext(uri_rdf_first,'#skF_6',C2_107),
inference(splitLeft,[status(thm)],[c_311]) ).
tff(c_44,plain,
iext(uri_rdf_first,'#skF_6','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312,c_44]) ).
tff(c_347,plain,
! [C1_113,S1_114] :
( icext(C1_113,uri_ex_w)
| ~ iext(uri_owl_intersectionOf,'#skF_3',S1_114)
| ~ iext(uri_rdf_rest,S1_114,'#skF_6')
| ~ iext(uri_rdf_first,S1_114,C1_113) ),
inference(splitRight,[status(thm)],[c_311]) ).
tff(c_349,plain,
! [C1_113] :
( icext(C1_113,uri_ex_w)
| ~ iext(uri_owl_intersectionOf,'#skF_3','#skF_5')
| ~ iext(uri_rdf_first,'#skF_5',C1_113) ),
inference(resolution,[status(thm)],[c_46,c_347]) ).
tff(c_353,plain,
! [C1_115] :
( icext(C1_115,uri_ex_w)
| ~ iext(uri_rdf_first,'#skF_5',C1_115) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_349]) ).
tff(c_357,plain,
icext(uri_ex_A,uri_ex_w),
inference(resolution,[status(thm)],[c_48,c_353]) ).
tff(c_6,plain,
! [C_4,X_6,Z_3] :
( ~ icext(C_4,X_6)
| ~ icext(Z_3,X_6)
| ~ iext(uri_owl_complementOf,Z_3,C_4) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_373,plain,
! [Z_116] :
( ~ icext(Z_116,uri_ex_w)
| ~ iext(uri_owl_complementOf,Z_116,uri_ex_A) ),
inference(resolution,[status(thm)],[c_357,c_6]) ).
tff(c_377,plain,
~ icext('#skF_4',uri_ex_w),
inference(resolution,[status(thm)],[c_40,c_373]) ).
tff(c_194,plain,
! [X_70,S1_69,C1_71,Z_67,S2_68,C2_72] :
( icext(C2_72,X_70)
| ~ icext(Z_67,X_70)
| ~ iext(uri_owl_intersectionOf,Z_67,S1_69)
| ~ iext(uri_rdf_rest,S2_68,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_68,C2_72)
| ~ iext(uri_rdf_rest,S1_69,S2_68)
| ~ iext(uri_rdf_first,S1_69,C1_71) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_409,plain,
! [C2_122,S1_123,S2_124,C1_125] :
( icext(C2_122,uri_ex_w)
| ~ iext(uri_owl_intersectionOf,'#skF_3',S1_123)
| ~ iext(uri_rdf_rest,S2_124,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_124,C2_122)
| ~ iext(uri_rdf_rest,S1_123,S2_124)
| ~ iext(uri_rdf_first,S1_123,C1_125) ),
inference(resolution,[status(thm)],[c_86,c_194]) ).
tff(c_412,plain,
! [C2_122,S1_123,C1_125] :
( icext(C2_122,uri_ex_w)
| ~ iext(uri_owl_intersectionOf,'#skF_3',S1_123)
| ~ iext(uri_rdf_first,'#skF_6',C2_122)
| ~ iext(uri_rdf_rest,S1_123,'#skF_6')
| ~ iext(uri_rdf_first,S1_123,C1_125) ),
inference(resolution,[status(thm)],[c_42,c_409]) ).
tff(c_433,plain,
! [S1_131,C1_132] :
( ~ iext(uri_owl_intersectionOf,'#skF_3',S1_131)
| ~ iext(uri_rdf_rest,S1_131,'#skF_6')
| ~ iext(uri_rdf_first,S1_131,C1_132) ),
inference(splitLeft,[status(thm)],[c_412]) ).
tff(c_435,plain,
! [C1_132] :
( ~ iext(uri_owl_intersectionOf,'#skF_3','#skF_5')
| ~ iext(uri_rdf_first,'#skF_5',C1_132) ),
inference(resolution,[status(thm)],[c_46,c_433]) ).
tff(c_438,plain,
! [C1_132] : ~ iext(uri_rdf_first,'#skF_5',C1_132),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_435]) ).
tff(c_440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_48]) ).
tff(c_442,plain,
! [C2_133] :
( icext(C2_133,uri_ex_w)
| ~ iext(uri_rdf_first,'#skF_6',C2_133) ),
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_445,plain,
icext('#skF_4',uri_ex_w),
inference(resolution,[status(thm)],[c_44,c_442]) ).
tff(c_449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377,c_445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB029+2 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.13 % 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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Apr 9 01:03:44 EDT 2025
% 0.14/0.35 % CPUTime :
% 4.13/2.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.13/2.00
% 4.13/2.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------