%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO088+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 01:19:50 PM UTC 2026
% Result : Theorem 1.16s 6.20s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 74 ( 11 unt; 0 def)
% Number of atoms : 305 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 361 ( 130 ~; 169 |; 53 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn 126 !; 14 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(f3,axiom,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
=> ( part_of(X3,X2)
| part_of(X2,X3) ) )
& incident_c(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( ( incident_c(X2,X1)
& end_point(X2,X0)
& part_of(X1,X0) )
=> end_point(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_c(X2,X1)
& end_point(X2,X0)
& part_of(X1,X0) )
=> end_point(X2,X1) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( incident_c(X2,X1)
& end_point(X2,X0)
& part_of(X1,X0)
& ~ end_point(X2,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
? [X0,X1,X2] :
( incident_c(X2,X1)
& end_point(X2,X0)
& part_of(X1,X0)
& ~ end_point(X2,X1) ),
inference(flattening,[],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3) )
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3) )
& incident_c(X0,X1) ) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f30,plain,
( incident_c(sK2,sK1)
& end_point(sK2,sK0)
& part_of(sK1,sK0)
& ~ end_point(sK2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f20]) ).
fof(f31,plain,
! [X0,X1] :
( ( ~ end_point(X0,X1)
| ( ! [X2,X3] :
( ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3) )
& incident_c(X0,X1) ) )
& ( ? [X2,X3] :
( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1)
& ~ part_of(X3,X2)
& ~ part_of(X2,X3) )
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f32,plain,
! [X0,X1] :
( ( ~ end_point(X0,X1)
| ( ! [X2,X3] :
( ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3) )
& incident_c(X0,X1) ) )
& ( ? [X2,X3] :
( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1)
& ~ part_of(X3,X2)
& ~ part_of(X2,X3) )
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( ~ end_point(X0,X1)
| ( ! [X4,X5] :
( ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1)
| part_of(X5,X4)
| part_of(X4,X5) )
& incident_c(X0,X1) ) )
& ( ? [X2,X3] :
( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1)
& ~ part_of(X3,X2)
& ~ part_of(X2,X3) )
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( ~ end_point(X0,X1)
| ( ! [X4,X5] :
( ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1)
| part_of(X5,X4)
| part_of(X4,X5) )
& incident_c(X0,X1) ) )
& ( ( incident_c(X0,sK4(X0,X1))
& incident_c(X0,sK3(X0,X1))
& part_of(sK4(X0,X1),X1)
& part_of(sK3(X0,X1),X1)
& ~ part_of(sK4(X0,X1),sK3(X0,X1))
& ~ part_of(sK3(X0,X1),sK4(X0,X1)) )
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0,X1))],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( ~ part_of(X1,X0)
| ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) ) )
& ( ? [X2] :
( incident_c(X2,X1)
& ~ incident_c(X2,X0) )
| part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f36,plain,
! [X0,X1] :
( ( ~ part_of(X1,X0)
| ! [X3] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0) ) )
& ( ? [X2] :
( incident_c(X2,X1)
& ~ incident_c(X2,X0) )
| part_of(X1,X0) ) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ( ~ part_of(X1,X0)
| ! [X3] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0) ) )
& ( ( incident_c(sK5(X0,X1),X1)
& ~ incident_c(sK5(X0,X1),X0) )
| part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f36]) ).
fof(f41,plain,
incident_c(sK2,sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f42,plain,
end_point(sK2,sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f43,plain,
part_of(sK1,sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
~ end_point(sK2,sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f46,plain,
! [X0,X1,X4,X5] :
( ~ end_point(X0,X1)
| ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1)
| part_of(X5,X4)
| part_of(X4,X5) ),
inference(cnf_transformation,[],[f34]) ).
fof(f48,plain,
! [X0,X1] :
( incident_c(X0,sK4(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f49,plain,
! [X0,X1] :
( incident_c(X0,sK3(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f50,plain,
! [X0,X1] :
( part_of(sK4(X0,X1),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
! [X0,X1] :
( part_of(sK3(X0,X1),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f52,plain,
! [X0,X1] :
( ~ part_of(sK4(X0,X1),sK3(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
! [X0,X1] :
( ~ part_of(sK3(X0,X1),sK4(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X3,X0,X1] :
( ~ part_of(X1,X0)
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
! [X0,X1] :
( incident_c(sK5(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X0,X1] :
( ~ incident_c(sK5(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_49,negated_conjecture,
~ end_point(sK2,sK1),
inference(cnf_transformation,[],[f44]) ).
tcf(c_50,negated_conjecture,
part_of(sK1,sK0),
inference(cnf_transformation,[],[f43]) ).
tcf(c_51,negated_conjecture,
end_point(sK2,sK0),
inference(cnf_transformation,[],[f42]) ).
tcf(c_52,negated_conjecture,
incident_c(sK2,sK1),
inference(cnf_transformation,[],[f41]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ~ part_of(sK3(X0,X1),sK4(X0,X1)) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ~ part_of(sK4(X0,X1),sK3(X0,X1)) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| part_of(sK3(X0,X1),X1)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| part_of(sK4(X0,X1),X1)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| incident_c(X0,sK3(X0,X1))
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| incident_c(X0,sK4(X0,X1))
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( part_of(X1,X0)
| ~ incident_c(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( part_of(X1,X0)
| incident_c(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_709,plain,
! [X0: $i] :
( incident_c(X0,sK0)
| ~ incident_c(X0,sK1) ),
inference(superposition,[status(thm)],[c_50,c_64]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X0,X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X0,sK3(X1,X2)) ),
inference(superposition,[status(thm)],[c_56,c_64]) ).
tcf(c_760,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X0,X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X0,sK4(X1,X2)) ),
inference(superposition,[status(thm)],[c_57,c_64]) ).
tcf(c_832,plain,
! [X0: $i,X1: $i,X2: $i] :
( end_point(X0,X1)
| part_of(sK3(X0,X1),X2)
| incident_c(sK5(X2,sK3(X0,X1)),X1)
| ~ incident_c(X0,X1) ),
inference(superposition,[status(thm)],[c_63,c_724]) ).
tcf(c_939,plain,
! [X0: $i,X1: $i,X2: $i] :
( end_point(X0,X1)
| part_of(sK4(X0,X1),X2)
| incident_c(sK5(X2,sK4(X0,X1)),X1)
| ~ incident_c(X0,X1) ),
inference(superposition,[status(thm)],[c_63,c_760]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i] :
( end_point(X0,sK1)
| part_of(sK3(X0,sK1),X1)
| incident_c(sK5(X1,sK3(X0,sK1)),sK0)
| ~ incident_c(X0,sK1) ),
inference(superposition,[status(thm)],[c_832,c_709]) ).
tcf(c_1031,plain,
( end_point(sK2,sK1)
| part_of(sK4(sK2,sK1),sK1)
| ~ incident_c(sK2,sK1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_1040,plain,
! [X0: $i] :
( end_point(X0,sK1)
| part_of(sK3(X0,sK1),sK0)
| ~ incident_c(X0,sK1) ),
inference(superposition,[status(thm)],[c_990,c_62]) ).
tcf(c_1084,plain,
( end_point(sK2,sK1)
| incident_c(sK2,sK4(sK2,sK1))
| ~ incident_c(sK2,sK1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_1085,plain,
( end_point(sK2,sK1)
| ~ incident_c(sK2,sK1)
| ~ part_of(sK3(sK2,sK1),sK4(sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_1147,plain,
! [X0: $i,X1: $i] :
( end_point(X0,sK1)
| part_of(sK4(X0,sK1),X1)
| incident_c(sK5(X1,sK4(X0,sK1)),sK0)
| ~ incident_c(X0,sK1) ),
inference(superposition,[status(thm)],[c_939,c_709]) ).
tcf(c_1191,plain,
! [X0: $i,X1: $i] :
( part_of(X1,X0)
| part_of(X0,X1)
| ~ incident_c(sK2,X1)
| ~ incident_c(sK2,X0)
| ~ part_of(X1,sK0)
| ~ part_of(X0,sK0) ),
inference(superposition,[status(thm)],[c_51,c_61]) ).
tcf(c_1353,plain,
! [X0: $i] :
( end_point(X0,sK1)
| part_of(sK4(X0,sK1),sK0)
| ~ incident_c(X0,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_62]) ).
tcf(c_1382,plain,
! [X0: $i] :
( part_of(sK1,X0)
| part_of(X0,sK1)
| ~ part_of(sK1,sK0)
| ~ incident_c(sK2,X0)
| ~ part_of(X0,sK0) ),
inference(superposition,[status(thm)],[c_52,c_1191]) ).
tcf(c_1383,plain,
! [X0: $i,X1: $i] :
( end_point(sK2,X0)
| part_of(X1,sK3(sK2,X0))
| part_of(sK3(sK2,X0),X1)
| ~ incident_c(sK2,X1)
| ~ incident_c(sK2,X0)
| ~ part_of(X1,sK0)
| ~ part_of(sK3(sK2,X0),sK0) ),
inference(superposition,[status(thm)],[c_58,c_1191]) ).
tcf(c_1386,plain,
! [X0: $i] :
( part_of(sK1,X0)
| part_of(X0,sK1)
| ~ incident_c(sK2,X0)
| ~ part_of(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1382,c_50]) ).
tcf(c_1417,plain,
! [X0: $i] :
( end_point(sK2,X0)
| part_of(sK1,sK4(sK2,X0))
| part_of(sK4(sK2,X0),sK1)
| ~ incident_c(sK2,X0)
| ~ part_of(sK4(sK2,X0),sK0) ),
inference(superposition,[status(thm)],[c_59,c_1386]) ).
tcf(c_1594,plain,
( end_point(sK2,sK1)
| part_of(sK1,sK4(sK2,sK1))
| part_of(sK4(sK2,sK1),sK1)
| ~ incident_c(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1353,c_1417]) ).
tcf(c_1595,plain,
( part_of(sK1,sK4(sK2,sK1))
| part_of(sK4(sK2,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1594,c_49,c_52]) ).
tcf(c_1608,plain,
part_of(sK4(sK2,sK1),sK1),
inference(global_subsumption_just,[status(thm)],[c_1595,c_52,c_49,c_1031]) ).
tcf(c_1610,plain,
! [X0: $i] :
( incident_c(X0,sK1)
| ~ incident_c(X0,sK4(sK2,sK1)) ),
inference(superposition,[status(thm)],[c_1608,c_64]) ).
tcf(c_1710,plain,
! [X0: $i] :
( part_of(sK4(sK2,sK1),X0)
| incident_c(sK5(X0,sK4(sK2,sK1)),sK1) ),
inference(superposition,[status(thm)],[c_63,c_1610]) ).
tcf(c_1817,plain,
! [X0: $i] :
( part_of(sK4(sK2,sK1),X0)
| incident_c(sK5(X0,sK4(sK2,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_1710,c_709]) ).
tcf(c_2007,plain,
part_of(sK4(sK2,sK1),sK0),
inference(superposition,[status(thm)],[c_1817,c_62]) ).
tcf(c_2025,plain,
! [X0: $i] :
( end_point(sK2,sK1)
| part_of(X0,sK3(sK2,sK1))
| part_of(sK3(sK2,sK1),X0)
| ~ incident_c(sK2,sK1)
| ~ incident_c(sK2,X0)
| ~ part_of(X0,sK0) ),
inference(superposition,[status(thm)],[c_1040,c_1383]) ).
tcf(c_2027,plain,
! [X0: $i] :
( part_of(X0,sK3(sK2,sK1))
| part_of(sK3(sK2,sK1),X0)
| ~ incident_c(sK2,X0)
| ~ part_of(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2025,c_49,c_52]) ).
tcf(c_2042,plain,
( end_point(sK2,sK1)
| part_of(sK3(sK2,sK1),sK4(sK2,sK1))
| ~ incident_c(sK2,sK1)
| ~ incident_c(sK2,sK4(sK2,sK1))
| ~ part_of(sK4(sK2,sK1),sK0) ),
inference(superposition,[status(thm)],[c_2027,c_55]) ).
tcf(c_2064,plain,
( part_of(sK3(sK2,sK1),sK4(sK2,sK1))
| ~ incident_c(sK2,sK4(sK2,sK1))
| ~ part_of(sK4(sK2,sK1),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2042,c_49,c_52]) ).
tcf(c_2069,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2064,c_2007,c_1085,c_1084,c_49,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO088+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n006.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 10:47:57 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.16/6.20 % SZS status Started for theBenchmark.p
% 1.16/6.20 % SZS status Theorem for theBenchmark.p
% 1.16/6.20
% 1.16/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.16/6.20
% 1.16/6.20 % ------ iProver source info
% 1.16/6.20
% 1.16/6.20 % git: date: 2026-07-19 20:42:38 +0200
% 1.16/6.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.16/6.20 % git: non_committed_changes: false
% 1.16/6.20
% 1.16/6.20 % ------ Parsing...
% 1.16/6.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.16/6.20
% 1.16/6.20 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.16/6.20
% 1.16/6.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.16/6.20
% 1.16/6.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.16/6.20 % ------ Proving...
% 1.16/6.20 % ------ Problem Properties
% 1.16/6.20
% 1.16/6.20 %
% 1.16/6.20 % clauses 21
% 1.16/6.20 % conjectures 4
% 1.16/6.20 % EPR 9
% 1.16/6.20 % Horn 12
% 1.16/6.20 % unary 4
% 1.16/6.20 % binary 5
% 1.16/6.20 % lits 66
% 1.16/6.20 % lits eq 6
% 1.16/6.20 % fd_pure 0
% 1.16/6.20 % fd_pseudo 0
% 1.16/6.20 % fd_cond 0
% 1.16/6.20 % fd_pseudo_cond 3
% 1.16/6.20 % AC symbols 0
% 1.16/6.20
% 1.16/6.20 % ------ Schedule dynamic 5 is on
% 1.16/6.20
% 1.16/6.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.16/6.20
% 1.16/6.20
% 1.16/6.20 % ------
% 1.16/6.20 % Current options:
% 1.16/6.20 % ------
% 1.16/6.20
% 1.16/6.20
% 1.16/6.20 %
% 1.16/6.20
% 1.16/6.20 % ------ Proving...
% 1.16/6.20 %
% 1.16/6.20
% 1.16/6.20 % SZS status Theorem for theBenchmark.p
% 1.16/6.20
% 1.16/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.16/6.20
% 1.16/6.20
%------------------------------------------------------------------------------