%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:00:53 AM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Proof 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 98 ( 42 unt; 0 def)
% Number of atoms : 220 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 214 ( 92 ~; 87 |; 29 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 58 ( 3 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
! [X] : ir(X),
file('theBenchmark.p',simple_ir) ).
fof(simple_iext_property,axiom,
! [S,P,O] :
( iext(P,S,O)
=> ip(P) ),
file('theBenchmark.p',simple_iext_property) ).
fof(rdf_type_ip,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('theBenchmark.p',rdf_type_ip) ).
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_ir_def,axiom,
! [X] :
( ir(X)
<=> icext(uri_rdfs_Resource,X) ),
file('theBenchmark.p',rdfs_ir_def) ).
fof(owl_class_thing_ext,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('theBenchmark.p',owl_class_thing_ext) ).
fof(owl_class_objectproperty_ext,axiom,
! [X] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
file('theBenchmark.p',owl_class_objectproperty_ext) ).
fof(testcase_conclusion_fullish_005_Everything_is_a_Resource,conjecture,
( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
file('theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).
fof(testcase_premise_fullish_005_Everything_is_a_Resource,axiom,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
file('theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).
fof(f_1_1,plain,
! [X] : ir(X),
inference(fof_nnf,[status(thm)],[simple_ir]) ).
fof(f_1_2,plain,
! [U_0] : ir(U_0),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
ir(U_0),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [S,P,O] :
( ip(P)
| ~ iext(P,S,O) ),
inference(fof_nnf,[status(thm)],[simple_iext_property]) ).
fof(f_2_2,plain,
! [U_3,U_2,U_1] :
( ip(U_2)
| ~ iext(U_2,U_3,U_1) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_3,U_2] :
( ! [U_1] : ~ iext(U_2,U_3,U_1)
| ip(U_2) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( ~ iext(U_2,U_3,U_1)
| ip(U_2) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [P] :
( ( iext(uri_rdf_type,P,uri_rdf_Property)
| ~ ip(P) )
& ( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(fof_nnf,[status(thm)],[rdf_type_ip]) ).
fof(f_3_2,plain,
! [U_4] :
( ( iext(uri_rdf_type,U_4,uri_rdf_Property)
| ~ ip(U_4) )
& ( ip(U_4)
| ~ iext(uri_rdf_type,U_4,uri_rdf_Property) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_6] :
( iext(uri_rdf_type,U_6,uri_rdf_Property)
| ~ ip(U_6) )
& ! [U_5] :
( ip(U_5)
| ~ iext(uri_rdf_type,U_5,uri_rdf_Property) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
cnf(f_3_5,plain,
( iext(uri_rdf_type,U_6,uri_rdf_Property)
| ~ ip(U_6) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [X,C] :
( ( iext(uri_rdf_type,X,C)
| ~ icext(C,X) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(fof_nnf,[status(thm)],[rdfs_cext_def]) ).
fof(f_4_2,plain,
! [U_8,U_7] :
( ( iext(uri_rdf_type,U_8,U_7)
| ~ icext(U_7,U_8) )
& ( icext(U_7,U_8)
| ~ iext(uri_rdf_type,U_8,U_7) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_12,U_10] :
( iext(uri_rdf_type,U_12,U_10)
| ~ icext(U_10,U_12) )
& ! [U_11,U_9] :
( icext(U_9,U_11)
| ~ iext(uri_rdf_type,U_11,U_9) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( icext(U_9,U_11)
| ~ iext(uri_rdf_type,U_11,U_9) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_5,plain,
( iext(uri_rdf_type,U_12,U_10)
| ~ icext(U_10,U_12) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X] :
( ( ir(X)
| ~ icext(uri_rdfs_Resource,X) )
& ( icext(uri_rdfs_Resource,X)
| ~ ir(X) ) ),
inference(fof_nnf,[status(thm)],[rdfs_ir_def]) ).
fof(f_5_2,plain,
! [U_13] :
( ( ir(U_13)
| ~ icext(uri_rdfs_Resource,U_13) )
& ( icext(uri_rdfs_Resource,U_13)
| ~ ir(U_13) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_15] :
( ir(U_15)
| ~ icext(uri_rdfs_Resource,U_15) )
& ! [U_14] :
( icext(uri_rdfs_Resource,U_14)
| ~ ir(U_14) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
cnf(f_5_4,plain,
( icext(uri_rdfs_Resource,U_14)
| ~ ir(U_14) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [X] :
( ( icext(uri_owl_Thing,X)
| ~ ir(X) )
& ( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(fof_nnf,[status(thm)],[owl_class_thing_ext]) ).
fof(f_6_2,plain,
! [U_16] :
( ( icext(uri_owl_Thing,U_16)
| ~ ir(U_16) )
& ( ir(U_16)
| ~ icext(uri_owl_Thing,U_16) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_18] :
( icext(uri_owl_Thing,U_18)
| ~ ir(U_18) )
& ! [U_17] :
( ir(U_17)
| ~ icext(uri_owl_Thing,U_17) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
cnf(f_6_5,plain,
( icext(uri_owl_Thing,U_18)
| ~ ir(U_18) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [X] :
( ( icext(uri_owl_ObjectProperty,X)
| ~ ip(X) )
& ( ip(X)
| ~ icext(uri_owl_ObjectProperty,X) ) ),
inference(fof_nnf,[status(thm)],[owl_class_objectproperty_ext]) ).
fof(f_7_2,plain,
! [U_19] :
( ( icext(uri_owl_ObjectProperty,U_19)
| ~ ip(U_19) )
& ( ip(U_19)
| ~ icext(uri_owl_ObjectProperty,U_19) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_21] :
( icext(uri_owl_ObjectProperty,U_21)
| ~ ip(U_21) )
& ! [U_20] :
( ip(U_20)
| ~ icext(uri_owl_ObjectProperty,U_20) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( ip(U_20)
| ~ icext(uri_owl_ObjectProperty,U_20) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( icext(uri_owl_ObjectProperty,U_21)
| ~ ip(U_21) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(negate,[status(cth)],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
fof(f_8_2,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(fof_nnf,[status(thm)],[f_8_1]) ).
fof(f_8_3,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_005_Everything_is_a_Resource]) ).
cnf(f_9_2,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(clausify,[status(thm)],[f_9_1]) ).
cnf(t1,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(start,[status(thm),parent(0:0)],[f_8_4]) ).
cnf(t2,plain,
( ~ icext(uri_rdfs_Resource,uri_ex_s)
| iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(extension,[status(thm),parent(t1:1)],[f_4_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ ir(uri_ex_s)
| icext(uri_rdfs_Resource,uri_ex_s) ),
inference(extension,[status(thm),parent(t2:2)],[f_5_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
ir(uri_ex_s),
inference(extension,[status(thm),parent(t4:2)],[f_1_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ icext(uri_owl_Thing,uri_ex_o)
| iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(extension,[status(thm),parent(t1:2)],[f_4_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:2]) ).
cnf(t10,plain,
( ~ ir(uri_ex_o)
| icext(uri_owl_Thing,uri_ex_o) ),
inference(extension,[status(thm),parent(t8:2)],[f_6_5]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
ir(uri_ex_o),
inference(extension,[status(thm),parent(t10:2)],[f_1_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ icext(uri_rdfs_Resource,uri_ex_o)
| iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
inference(extension,[status(thm),parent(t1:3)],[f_4_5]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t1:3]) ).
cnf(t16,plain,
( ~ ir(uri_ex_o)
| icext(uri_rdfs_Resource,uri_ex_o) ),
inference(extension,[status(thm),parent(t14:2)],[f_5_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
ir(uri_ex_o),
inference(extension,[status(thm),parent(t16:2)],[f_1_3]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ icext(uri_owl_ObjectProperty,uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(extension,[status(thm),parent(t1:4)],[f_4_5]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t1:4]) ).
cnf(t22,plain,
( ~ ip(uri_ex_p)
| icext(uri_owl_ObjectProperty,uri_ex_p) ),
inference(extension,[status(thm),parent(t20:2)],[f_7_5]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ip(uri_ex_p) ),
inference(extension,[status(thm),parent(t22:2)],[f_2_4]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(extension,[status(thm),parent(t24:2)],[f_9_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(l10,lemma,
iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(lemma,[status(cth),parent(t1:4),below(0:0)],[t1:4]) ).
cnf(t28,plain,
( ~ ip(uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(extension,[status(thm),parent(t1:5)],[f_3_5]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t1:5]) ).
cnf(t30,plain,
( ~ icext(uri_owl_ObjectProperty,uri_ex_p)
| ip(uri_ex_p) ),
inference(extension,[status(thm),parent(t28:2)],[f_7_4]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| icext(uri_owl_ObjectProperty,uri_ex_p) ),
inference(extension,[status(thm),parent(t30:2)],[f_4_4]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(lemma_extension,[status(thm),parent(t32:2)],[l10:1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( ~ icext(uri_owl_Thing,uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
inference(extension,[status(thm),parent(t1:6)],[f_4_5]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t1:6]) ).
cnf(t38,plain,
( ~ ir(uri_ex_p)
| icext(uri_owl_Thing,uri_ex_p) ),
inference(extension,[status(thm),parent(t36:2)],[f_6_5]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
ir(uri_ex_p),
inference(extension,[status(thm),parent(t38:2)],[f_1_3]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
( ~ icext(uri_rdfs_Resource,uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
inference(extension,[status(thm),parent(t1:7)],[f_4_5]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t1:7]) ).
cnf(t44,plain,
( ~ ir(uri_ex_p)
| icext(uri_rdfs_Resource,uri_ex_p) ),
inference(extension,[status(thm),parent(t42:2)],[f_5_4]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
ir(uri_ex_p),
inference(extension,[status(thm),parent(t44:2)],[f_1_3]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
( ~ icext(uri_owl_Thing,uri_ex_s)
| iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(extension,[status(thm),parent(t1:8)],[f_4_5]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t1:8]) ).
cnf(t50,plain,
( ~ ir(uri_ex_s)
| icext(uri_owl_Thing,uri_ex_s) ),
inference(extension,[status(thm),parent(t48:2)],[f_6_5]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
ir(uri_ex_s),
inference(extension,[status(thm),parent(t50:2)],[f_1_3]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 01:03:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.40 % SZS status Theorem for theBenchmark
% 0.10/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------