TSTP Solution File: SET169+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET169+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : Fri May 3 03:00:09 EDT 2024
% Result : Theorem 0.48s 1.16s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 61 ( 10 unt; 0 def)
% Number of atoms : 179 ( 20 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 216 ( 98 ~; 92 |; 20 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 4 sgn 60 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f9,conjecture,
! [X0,X1,X2] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_distributes_over_union) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f9]) ).
fof(f12,plain,
? [X0,X1,X2] : intersection(X0,union(X1,X2)) != union(intersection(X0,X1),intersection(X0,X2)),
inference(ennf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f15]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f24,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f24,f25]) ).
fof(f27,plain,
( ? [X0,X1,X2] : intersection(X0,union(X1,X2)) != union(intersection(X0,X1),intersection(X0,X2))
=> intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(sK2,sK4)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(sK2,sK4)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f12,f27]) ).
fof(f29,plain,
! [X2,X0,X1] :
( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f33,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f34,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f47,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(sK2,sK4)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_49,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_50,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_51,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_52,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_53,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_54,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_64,plain,
( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_65,plain,
( X0 = X1
| member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_66,negated_conjecture,
union(intersection(sK2,sK3),intersection(sK2,sK4)) != intersection(sK2,union(sK3,sK4)),
inference(cnf_transformation,[],[f48]) ).
cnf(c_499,plain,
( union(intersection(sK2,sK3),intersection(sK2,sK4)) = intersection(sK2,union(sK3,sK4))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(intersection(sK2,sK3),intersection(sK2,sK4)))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_521,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(intersection(sK2,sK3),intersection(sK2,sK4)))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK3))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK4)) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_716,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(intersection(sK2,sK3),intersection(sK2,sK4)))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[status(thm)],[c_64,c_66]) ).
cnf(c_730,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_731,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_913,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK3))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_914,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK3))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK3) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1271,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),X0)
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(X0,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_1272,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2)
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_1271]) ).
cnf(c_1279,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK3)
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1284,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4)))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK3)) ),
inference(resolution,[status(thm)],[c_716,c_50]) ).
cnf(c_1294,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4)))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK4)) ),
inference(resolution,[status(thm)],[c_716,c_49]) ).
cnf(c_1783,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),X0)
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4)
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(X0,sK4)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_1784,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2)
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4)
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK4)) ),
inference(instantiation,[status(thm)],[c_1783]) ).
cnf(c_2150,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK4))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2151,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK4))
| member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_2787,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK3))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2) ),
inference(resolution,[status(thm)],[c_1284,c_52]) ).
cnf(c_2788,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK3))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4)) ),
inference(global_subsumption_just,[status(thm)],[c_2787,c_913,c_1272,c_1284]) ).
cnf(c_2789,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK3)) ),
inference(renaming,[status(thm)],[c_2788]) ).
cnf(c_2866,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2) ),
inference(resolution,[status(thm)],[c_1294,c_52]) ).
cnf(c_2867,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4)) ),
inference(global_subsumption_just,[status(thm)],[c_2866,c_2150,c_2866]) ).
cnf(c_2868,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK4)) ),
inference(renaming,[status(thm)],[c_2867]) ).
cnf(c_5987,plain,
( ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2)
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK3) ),
inference(resolution,[status(thm)],[c_2789,c_52]) ).
cnf(c_5988,plain,
~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4)),
inference(global_subsumption_just,[status(thm)],[c_5987,c_66,c_499,c_521,c_730,c_1279,c_1784,c_2789,c_2868,c_5987]) ).
cnf(c_5991,plain,
~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK3),
inference(resolution,[status(thm)],[c_5988,c_50]) ).
cnf(c_6002,plain,
~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4),
inference(resolution,[status(thm)],[c_5988,c_49]) ).
cnf(c_6003,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6002,c_5991,c_5988,c_2151,c_914,c_731,c_521,c_499,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET169+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 20:53:46 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.16 % SZS status Started for theBenchmark.p
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16
% 0.48/1.16 ------ iProver source info
% 0.48/1.16
% 0.48/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.16 git: non_committed_changes: false
% 0.48/1.16
% 0.48/1.16 ------ Parsing...
% 0.48/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.16 ------ Proving...
% 0.48/1.16 ------ Problem Properties
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 clauses 16
% 0.48/1.16 conjectures 1
% 0.48/1.16 EPR 3
% 0.48/1.16 Horn 13
% 0.48/1.16 unary 4
% 0.48/1.16 binary 6
% 0.48/1.16 lits 34
% 0.48/1.16 lits eq 6
% 0.48/1.16 fd_pure 0
% 0.48/1.16 fd_pseudo 0
% 0.48/1.16 fd_cond 0
% 0.48/1.16 fd_pseudo_cond 3
% 0.48/1.16 AC symbols 0
% 0.48/1.16
% 0.48/1.16 ------ Input Options Time Limit: Unbounded
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------
% 0.48/1.16 Current options:
% 0.48/1.16 ------
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------ Proving...
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16
% 0.48/1.16
%------------------------------------------------------------------------------