%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET943+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 02:49:10 PM UTC 2026
% Result : Theorem 4.91s 2.25s
% Output : CNFRefutation 4.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 62 ( 7 unt; 0 def)
% Number of atoms : 238 ( 37 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 296 ( 120 ~; 136 |; 36 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 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 : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 132 ( 0 sgn 120 !; 12 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f6,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f16,conjecture,
! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t96_zfmisc_1) ).
fof(f17,negated_conjecture,
~ ! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f20,plain,
? [X0,X1] : union(set_union2(X0,X1)) != set_union2(union(X0),union(X1)),
inference(ennf_transformation,[],[f17]) ).
fof(f26,plain,
union(set_union2(sK0,sK1)) != set_union2(union(sK0),union(sK1)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| in(X3,X1)
| in(X3,X0) )
& ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| in(X3,X1)
| in(X3,X0) )
& ( ~ in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) ) )
| X2 = set_union2(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| in(X3,X1)
| in(X3,X0) )
& ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| in(X3,X1)
| in(X3,X0) )
& ( ~ in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) ) )
| X2 = set_union2(X0,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) != X2
| ! [X4] :
( ( ~ in(X4,X2)
| in(X4,X1)
| in(X4,X0) )
& ( ( ~ in(X4,X1)
& ~ in(X4,X0) )
| in(X4,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| in(X3,X1)
| in(X3,X0) )
& ( ~ in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) ) )
| X2 = set_union2(X0,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) != X2
| ! [X4] :
( ( ~ in(X4,X2)
| in(X4,X1)
| in(X4,X0) )
& ( ( ~ in(X4,X1)
& ~ in(X4,X0) )
| in(X4,X2) ) ) )
& ( ( ( in(sK2(X0,X1,X2),X2)
| in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X0) )
& ( ~ in(sK2(X0,X1,X2),X2)
| ( ~ in(sK2(X0,X1,X2),X1)
& ~ in(sK2(X0,X1,X2),X0) ) ) )
| X2 = set_union2(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( ( union(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] :
( in(X3,X0)
& in(X2,X3) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] :
( in(X3,X0)
& in(X2,X3) ) )
& ( ~ in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) ) )
| X1 = union(X0) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f34,plain,
! [X0,X1] :
( ( union(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] :
( in(X7,X0)
& in(X5,X7) ) )
& ( ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) )
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] :
( in(X4,X0)
& in(X2,X4) ) )
& ( ~ in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) ) )
| X1 = union(X0) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( union(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ( in(sK5(X0,X5),X0)
& in(X5,sK5(X0,X5)) ) )
& ( ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) )
| in(X5,X1) ) ) )
& ( ( ( in(sK3(X0,X1),X1)
| ( in(sK4(X0,X1),X0)
& in(sK3(X0,X1),sK4(X0,X1)) ) )
& ( ~ in(sK3(X0,X1),X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(sK3(X0,X1),X3) ) ) )
| X1 = union(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X7,sK5(X0,X5))],[f34]) ).
fof(f39,plain,
union(set_union2(sK0,sK1)) != set_union2(union(sK0),union(sK1)),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
! [X2,X0,X1,X4] :
( set_union2(X0,X1) != X2
| ~ in(X4,X2)
| in(X4,X1)
| in(X4,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f42,plain,
! [X2,X0,X1,X4] :
( set_union2(X0,X1) != X2
| ~ in(X4,X1)
| in(X4,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f43,plain,
! [X2,X0,X1,X4] :
( set_union2(X0,X1) != X2
| ~ in(X4,X0)
| in(X4,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
! [X2,X0,X1] :
( in(sK2(X0,X1,X2),X2)
| in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X0)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ in(sK2(X0,X1,X2),X2)
| ~ in(sK2(X0,X1,X2),X1)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ in(sK2(X0,X1,X2),X2)
| ~ in(sK2(X0,X1,X2),X0)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X0,X1,X5] :
( union(X0) != X1
| ~ in(X5,X1)
| in(sK5(X0,X5),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X0,X1,X5] :
( union(X0) != X1
| ~ in(X5,X1)
| in(X5,sK5(X0,X5)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1,X6,X5] :
( union(X0) != X1
| ~ in(X6,X0)
| ~ in(X5,X6)
| in(X5,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0,X1,X4] :
( ~ in(X4,X0)
| in(X4,set_union2(X0,X1)) ),
inference(equality_resolution,[],[f43]) ).
fof(f66,plain,
! [X0,X1,X4] :
( ~ in(X4,X1)
| in(X4,set_union2(X0,X1)) ),
inference(equality_resolution,[],[f42]) ).
fof(f67,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f41]) ).
fof(f70,plain,
! [X0,X6,X5] :
( ~ in(X6,X0)
| ~ in(X5,X6)
| in(X5,union(X0)) ),
inference(equality_resolution,[],[f56]) ).
fof(f71,plain,
! [X0,X5] :
( ~ in(X5,union(X0))
| in(X5,sK5(X0,X5)) ),
inference(equality_resolution,[],[f55]) ).
fof(f72,plain,
! [X0,X5] :
( ~ in(X5,union(X0))
| in(sK5(X0,X5),X0) ),
inference(equality_resolution,[],[f54]) ).
tcf(c_49,negated_conjecture,
set_union2(union(sK0),union(sK1)) != union(set_union2(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_union2(X0,X1) = X2 )
| ~ in(sK2(X0,X1,X2),X2)
| ~ in(sK2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_union2(X0,X1) = X2 )
| ~ in(sK2(X0,X1,X2),X2)
| ~ in(sK2(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK2(X0,X1,X2),X2)
| in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X0)
| ( set_union2(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,set_union2(X1,X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,set_union2(X2,X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| in(X0,X1)
| ~ in(X0,set_union2(X1,X2)) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,union(X2))
| ~ in(X1,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( in(X0,sK5(X1,X0))
| ~ in(X0,union(X1)) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( in(sK5(X1,X0),X1)
| ~ in(X0,union(X1)) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_1057,plain,
( ( set_union2(union(sK0),union(sK1)) = union(set_union2(sK0,sK1)) )
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK0))
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(set_union2(sK0,sK1))) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_1072,plain,
( ( set_union2(union(sK0),union(sK1)) = union(set_union2(sK0,sK1)) )
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK1))
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(set_union2(sK0,sK1))) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_1073,plain,
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK1))
| in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK0))
| in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(set_union2(sK0,sK1)))
| ( set_union2(union(sK0),union(sK1)) = union(set_union2(sK0,sK1)) ) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_1153,plain,
( in(sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),set_union2(sK0,sK1))
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(set_union2(sK0,sK1))) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_1154,plain,
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))))
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(set_union2(sK0,sK1))) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_1351,plain,
( in(sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK0)
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK0)) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_1352,plain,
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))))
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK0)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_1531,plain,
( in(sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK1)
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK1)) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_1532,plain,
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))))
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK1)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_2109,plain,
( in(sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK1)
| in(sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK0)
| ~ in(sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),set_union2(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_2186,plain,
! [X0: $i] :
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(X0))
| ~ in(sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),X0)
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))))) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_2191,plain,
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK0))
| ~ in(sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK0)
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))))) ),
inference(instantiation,[status(thm)],[c_2186]) ).
tcf(c_2779,plain,
! [X0: $i] :
( in(sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),set_union2(sK0,X0))
| ~ in(sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_2826,plain,
! [X0: $i] :
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(X0))
| ~ in(sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),X0)
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))))) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_3912,plain,
! [X0: $i] :
( in(sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),set_union2(X0,sK1))
| ~ in(sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_3915,plain,
( in(sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),set_union2(sK0,sK1))
| ~ in(sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK1) ),
inference(instantiation,[status(thm)],[c_3912]) ).
tcf(c_3967,plain,
! [X0: $i] :
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(X0))
| ~ in(sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),X0)
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))))) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_5850,plain,
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(sK1))
| ~ in(sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK1)
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(set_union2(sK0,sK1),sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))))) ),
inference(instantiation,[status(thm)],[c_2186]) ).
tcf(c_9110,plain,
( in(sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),set_union2(sK0,sK1))
| ~ in(sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),sK0) ),
inference(instantiation,[status(thm)],[c_2779]) ).
tcf(c_9732,plain,
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(set_union2(sK0,sK1)))
| ~ in(sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),set_union2(sK0,sK1))
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(sK0,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))))) ),
inference(instantiation,[status(thm)],[c_2826]) ).
tcf(c_16648,plain,
! [X0: $i] :
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(set_union2(X0,sK1)))
| ~ in(sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),set_union2(X0,sK1))
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))))) ),
inference(instantiation,[status(thm)],[c_3967]) ).
tcf(c_16649,plain,
( in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),union(set_union2(sK0,sK1)))
| ~ in(sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1)))),set_union2(sK0,sK1))
| ~ in(sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))),sK5(sK1,sK2(union(sK0),union(sK1),union(set_union2(sK0,sK1))))) ),
inference(instantiation,[status(thm)],[c_16648]) ).
tcf(c_16841,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16649,c_9732,c_9110,c_5850,c_3915,c_2191,c_2109,c_1531,c_1532,c_1351,c_1352,c_1153,c_1154,c_1073,c_1072,c_1057,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET943+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 12:28:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 4.91/2.25 % SZS status Started for theBenchmark.p
% 4.91/2.25 % SZS status Theorem for theBenchmark.p
% 4.91/2.25
% 4.91/2.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.91/2.25
% 4.91/2.25 % ------ iProver source info
% 4.91/2.25
% 4.91/2.25 % git: date: 2026-07-19 20:42:38 +0200
% 4.91/2.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.91/2.25 % git: non_committed_changes: false
% 4.91/2.25
% 4.91/2.25 % ------ Parsing...
% 4.91/2.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.91/2.25
% 4.91/2.25 % ------ 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 %
% 4.91/2.25
% 4.91/2.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.91/2.25
% 4.91/2.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.91/2.25 % ------ Proving...
% 4.91/2.25 % ------ Problem Properties
% 4.91/2.25
% 4.91/2.25 %
% 4.91/2.25 % clauses 24
% 4.91/2.25 % conjectures 1
% 4.91/2.25 % EPR 4
% 4.91/2.25 % Horn 19
% 4.91/2.25 % unary 5
% 4.91/2.25 % binary 8
% 4.91/2.25 % lits 56
% 4.91/2.25 % lits eq 10
% 4.91/2.25 % fd_pure 0
% 4.91/2.25 % fd_pseudo 0
% 4.91/2.25 % fd_cond 0
% 4.91/2.25 % fd_pseudo_cond 7
% 4.91/2.25 % AC symbols 0
% 4.91/2.25
% 4.91/2.25 % ------ Schedule dynamic 5 is on
% 4.91/2.25
% 4.91/2.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.91/2.25
% 4.91/2.25
% 4.91/2.25 % ------
% 4.91/2.25 % Current options:
% 4.91/2.25 % ------
% 4.91/2.25
% 4.91/2.25
% 4.91/2.25 %
% 4.91/2.25
% 4.91/2.25 % ------ Proving...
% 4.91/2.25 %
% 4.91/2.25
% 4.91/2.25 % SZS status Theorem for theBenchmark.p
% 4.91/2.25
% 4.91/2.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.91/2.26
% 4.91/2.26
%------------------------------------------------------------------------------