%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET169+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 : Fri Sep 25 02:46:49 PM UTC 2026
% Result : Theorem 8.14s 1.67s
% Output : CNFRefutation 8.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 62 ( 12 unt; 0 def)
% Number of atoms : 175 ( 18 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 206 ( 93 ~; 91 |; 18 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 92 ( 0 sgn 87 !; 5 ?; 29 :)
% 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,[status(cth)],[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(f22,plain,
! [X0,X1] :
( ( X0 != X1
| ! [X2] :
( ( ~ member(X2,X0)
| member(X2,X1) )
& ( ~ member(X2,X1)
| member(X2,X0) ) ) )
& ( ? [X2] :
( ( member(X2,X0)
| member(X2,X1) )
& ( ~ member(X2,X0)
| ~ member(X2,X1) ) )
| X0 = X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 != X1
| ! [X3] :
( ( ~ member(X3,X0)
| member(X3,X1) )
& ( ~ member(X3,X1)
| member(X3,X0) ) ) )
& ( ? [X2] :
( ( member(X2,X0)
| member(X2,X1) )
& ( ~ member(X2,X0)
| ~ member(X2,X1) ) )
| X0 = X1 ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ( X0 != X1
| ! [X3] :
( ( ~ member(X3,X0)
| member(X3,X1) )
& ( ~ member(X3,X1)
| member(X3,X0) ) ) )
& ( ( ( member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) )
& ( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1) ) )
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f23]) ).
fof(f25,plain,
intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(sK2,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f12]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| ~ member(X2,X0)
| member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f43,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f24]) ).
fof(f44,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(sK2,sK4)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,union(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_66,negated_conjecture,
union(intersection(sK2,sK3),intersection(sK2,sK4)) != intersection(sK2,union(sK3,sK4)),
inference(cnf_transformation,[],[f45]) ).
tcf(c_499,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(intersection(sK2,sK3),intersection(sK2,sK4)))
| ( union(intersection(sK2,sK3),intersection(sK2,sK4)) = intersection(sK2,union(sK3,sK4)) ) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_521,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))),intersection(sK2,sK3))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(intersection(sK2,sK3),intersection(sK2,sK4))) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_716,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(intersection(sK2,sK3),intersection(sK2,sK4))) ),
inference(resolution,[status(thm)],[c_64,c_66]) ).
tcf(c_728,plain,
! [X0: $i] :
( member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(X0,intersection(sK2,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(sK2,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_729,plain,
( member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,intersection(sK2,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_728]) ).
tcf(c_730,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,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_731,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))),intersection(sK2,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_905,plain,
! [X0: $i] :
( member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(X0,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))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_906,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)
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_905]) ).
tcf(c_907,plain,
( 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))),sK3)
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_965,plain,
( 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))),intersection(sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_966,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))),intersection(sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_1272,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))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[status(thm)],[c_716,c_49]) ).
tcf(c_1283,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))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[status(thm)],[c_716,c_50]) ).
tcf(c_1297,plain,
! [X0: $i] :
( 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(X0,intersection(sK2,union(sK3,sK4)))) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_1766,plain,
! [X0: $i] :
( member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(X0,sK3))
| ~ 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))),X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_1767,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)
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2) ),
inference(instantiation,[status(thm)],[c_1766]) ).
tcf(c_2155,plain,
( 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_54]) ).
tcf(c_2156,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))),intersection(sK2,sK4)) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_2433,plain,
! [X0: $i] :
( member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(X0,sK4))
| ~ 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))),X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_2434,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)
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2) ),
inference(instantiation,[status(thm)],[c_2433]) ).
tcf(c_2748,plain,
! [X0: $i] :
( ~ 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(X0,intersection(sK2,union(sK3,sK4)))) ),
inference(resolution,[status(thm)],[c_1272,c_54]) ).
tcf(c_2750,plain,
! [X0: $i] : ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(X0,intersection(sK2,union(sK3,sK4)))),
inference(global_subsumption_just,[status(thm)],[c_2748,c_66,c_499,c_521,c_731,c_730,c_907,c_966,c_1283,c_1297,c_1767,c_2156,c_2434,c_2748]) ).
tcf(c_2752,plain,
~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,intersection(sK2,union(sK3,sK4)))),
inference(instantiation,[status(thm)],[c_2750]) ).
tcf(c_2758,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))),intersection(sK2,sK3))
| ~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4)) ),
inference(resolution,[status(thm)],[c_1272,c_52]) ).
tcf(c_2759,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))),union(sK3,sK4)) ),
inference(global_subsumption_just,[status(thm)],[c_2758,c_66,c_499,c_521,c_729,c_731,c_906,c_966,c_2156,c_2752]) ).
tcf(c_2761,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_2759,c_66,c_499,c_521,c_729,c_731,c_906,c_966,c_2156,c_2752]) ).
tcf(c_2806,plain,
~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK3),
inference(resolution,[status(thm)],[c_2761,c_49]) ).
tcf(c_2816,plain,
~ member(sK1(union(intersection(sK2,sK3),intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4),
inference(resolution,[status(thm)],[c_2761,c_50]) ).
tcf(c_2817,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2816,c_2806,c_2761,c_2155,c_965,c_730,c_521,c_499,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET169+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 10:11:43 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 8.14/1.67 % SZS status Started for theBenchmark.p
% 8.14/1.67 % SZS status Theorem for theBenchmark.p
% 8.14/1.67
% 8.14/1.67 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.14/1.67
% 8.14/1.67 % ------ iProver source info
% 8.14/1.67
% 8.14/1.67 % git: date: 2026-07-19 20:42:38 +0200
% 8.14/1.67 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.14/1.67 % git: non_committed_changes: false
% 8.14/1.67
% 8.14/1.67 % ------ Parsing...
% 8.14/1.67 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.14/1.67
% 8.14/1.67 % ------ 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 %
% 8.14/1.67
% 8.14/1.67 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.14/1.67
% 8.14/1.67 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.14/1.67 % ------ Proving...
% 8.14/1.67 % ------ Problem Properties
% 8.14/1.67
% 8.14/1.67 %
% 8.14/1.67 % clauses 16
% 8.14/1.67 % conjectures 1
% 8.14/1.67 % EPR 3
% 8.14/1.67 % Horn 13
% 8.14/1.67 % unary 4
% 8.14/1.67 % binary 6
% 8.14/1.67 % lits 34
% 8.14/1.67 % lits eq 6
% 8.14/1.67 % fd_pure 0
% 8.14/1.67 % fd_pseudo 0
% 8.14/1.67 % fd_cond 0
% 8.14/1.67 % fd_pseudo_cond 3
% 8.14/1.67 % AC symbols 0
% 8.14/1.67
% 8.14/1.67 % ------ Input Options Time Limit: Unbounded
% 8.14/1.67
% 8.14/1.67
% 8.14/1.67 % ------
% 8.14/1.67 % Current options:
% 8.14/1.67 % ------
% 8.14/1.67
% 8.14/1.67
% 8.14/1.67 %
% 8.14/1.67
% 8.14/1.67 % ------ Proving...
% 8.14/1.67 %
% 8.14/1.67
% 8.14/1.67 % SZS status Theorem for theBenchmark.p
% 8.14/1.67
% 8.14/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.14/1.67
% 8.14/1.67
%------------------------------------------------------------------------------