%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO202+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 01:20:18 PM UTC 2026
% Result : Theorem 3.17s 1.25s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 87 ( 28 unt; 3 def)
% Number of atoms : 326 ( 15 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 231 ( 84 ~; 118 |; 19 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 135 !; 6 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart2) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart4) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart5) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',cu1) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(flattening,[],[f17]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(flattening,[],[f25]) ).
fof(f31,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f32,plain,
? [X0,X1,X2] :
( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
? [X0,X1,X2] :
( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
( convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1)
& distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f33]) ).
fof(f35,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f49,plain,
convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f34]) ).
fof(f50,plain,
distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f52,plain,
distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f34]) ).
tcf(c_49,plain,
! [X0: $i] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f35]) ).
tcf(c_50,plain,
! [X0: $i] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f36]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( distinct_points(X0,X1)
| ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X0,line_connecting(X1,X2)) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_63,negated_conjecture,
distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f52]) ).
tcf(c_64,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
tcf(c_65,negated_conjecture,
distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f50]) ).
tcf(c_66,negated_conjecture,
convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f49]) ).
tcf(c_69,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_154,definition,
iPr_def_10 = line_connecting(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_155,definition,
iPr_def_11 = line_connecting(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_156,definition,
iPr_def_12 = intersection_point(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_157,negated_conjecture,
convergent_lines(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_66,c_155,c_154]) ).
tcf(c_158,negated_conjecture,
distinct_points(sK0,sK2),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_159,negated_conjecture,
distinct_points(sK0,sK1),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_160,negated_conjecture,
distinct_points(iPr_def_12,sK0),
inference(demodulation,[status(thm)],[c_63,c_156]) ).
tcf(c_161,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( distinct_points(X0,X2)
| ~ distinct_points(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_441,plain,
distinct_lines(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_157,c_62]) ).
tcf(c_450,plain,
! [X0: $i] :
( distinct_points(iPr_def_12,X0)
| distinct_points(sK0,X0) ),
inference(superposition,[status(thm)],[c_160,c_52]) ).
tcf(c_465,plain,
! [X0: $i] :
( distinct_lines(iPr_def_11,X0)
| distinct_lines(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_441,c_53]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i] :
( distinct_points(iPr_def_12,X0)
| distinct_points(sK0,X1)
| distinct_points(X0,X1) ),
inference(superposition,[status(thm)],[c_450,c_52]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i] :
( distinct_lines(iPr_def_11,X1)
| distinct_lines(iPr_def_10,X0)
| distinct_lines(X0,X1) ),
inference(superposition,[status(thm)],[c_465,c_53]) ).
tcf(c_647,plain,
( distinct_lines(iPr_def_11,iPr_def_10)
| distinct_lines(iPr_def_10,iPr_def_10) ),
inference(equality_factoring,[status(thm)],[c_501]) ).
tcf(c_648,plain,
distinct_lines(iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_647,c_50]) ).
tcf(c_755,plain,
! [X0: $i] :
( distinct_points(X0,sK0)
| ~ distinct_points(sK0,sK1)
| ~ apart_point_and_line(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_154,c_55]) ).
tcf(c_756,plain,
! [X0: $i] :
( distinct_points(X0,sK0)
| ~ distinct_points(sK0,sK2)
| ~ apart_point_and_line(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_155,c_55]) ).
tcf(c_757,plain,
! [X0: $i] :
( distinct_points(X0,sK0)
| ~ apart_point_and_line(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_756,c_158]) ).
tcf(c_760,plain,
! [X0: $i] :
( distinct_points(X0,sK0)
| ~ apart_point_and_line(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_755,c_159]) ).
tcf(c_763,plain,
( distinct_points(sK0,sK0)
| ~ apart_point_and_line(sK0,iPr_def_10) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_764,plain,
( distinct_points(sK0,sK0)
| ~ apart_point_and_line(sK0,iPr_def_11) ),
inference(instantiation,[status(thm)],[c_757]) ).
tcf(c_786,plain,
! [X0: $i] :
( distinct_points(X0,intersection_point(iPr_def_10,iPr_def_11))
| ~ convergent_lines(iPr_def_10,iPr_def_11)
| ~ apart_point_and_line(X0,iPr_def_10) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_846,plain,
! [X0: $i] :
( distinct_points(X0,intersection_point(iPr_def_10,iPr_def_11))
| ~ convergent_lines(iPr_def_10,iPr_def_11)
| ~ apart_point_and_line(X0,iPr_def_11) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_1095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apart_point_and_line(iPr_def_12,X1)
| apart_point_and_line(iPr_def_12,X0)
| distinct_points(sK0,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_points(X2,X3)
| ~ distinct_lines(X0,X1) ),
inference(superposition,[status(thm)],[c_492,c_59]) ).
tcf(c_1293,plain,
~ distinct_points(iPr_def_12,iPr_def_12),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_1298,plain,
! [X0: $i,X1: $i,X2: $i] :
( distinct_points(X0,X1)
| ~ distinct_points(iPr_def_12,X2)
| ( X1 != X2 )
| ( X0 != iPr_def_12 ) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_1837,plain,
iPr_def_12 = iPr_def_12,
inference(instantiation,[status(thm)],[c_161]) ).
tcf(c_2289,plain,
( distinct_points(iPr_def_12,intersection_point(iPr_def_10,iPr_def_11))
| ~ apart_point_and_line(iPr_def_12,iPr_def_10)
| ~ convergent_lines(iPr_def_10,iPr_def_11) ),
inference(instantiation,[status(thm)],[c_786]) ).
tcf(c_3222,plain,
! [X0: $i,X1: $i] :
( distinct_points(iPr_def_12,X0)
| ~ distinct_points(iPr_def_12,X1)
| ( iPr_def_12 != iPr_def_12 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1298]) ).
tcf(c_3999,plain,
( distinct_points(iPr_def_12,intersection_point(iPr_def_10,iPr_def_11))
| ~ apart_point_and_line(iPr_def_12,iPr_def_11)
| ~ convergent_lines(iPr_def_10,iPr_def_11) ),
inference(instantiation,[status(thm)],[c_846]) ).
tcf(c_4278,plain,
! [X0: $i,X1: $i] :
( apart_point_and_line(iPr_def_12,iPr_def_11)
| apart_point_and_line(iPr_def_12,iPr_def_10)
| apart_point_and_line(X0,iPr_def_11)
| apart_point_and_line(X0,iPr_def_10)
| distinct_points(sK0,X1)
| distinct_points(X0,X1) ),
inference(superposition,[status(thm)],[c_648,c_1095]) ).
tcf(c_4407,plain,
( apart_point_and_line(iPr_def_12,iPr_def_11)
| apart_point_and_line(iPr_def_12,iPr_def_10)
| apart_point_and_line(sK0,iPr_def_11)
| apart_point_and_line(sK0,iPr_def_10)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4278]) ).
tcf(c_6620,plain,
! [X0: $i] :
( distinct_points(iPr_def_12,iPr_def_12)
| ~ distinct_points(iPr_def_12,X0)
| ( iPr_def_12 != iPr_def_12 )
| ( iPr_def_12 != X0 ) ),
inference(instantiation,[status(thm)],[c_3222]) ).
tcf(c_9627,plain,
( distinct_points(iPr_def_12,iPr_def_12)
| ~ distinct_points(iPr_def_12,intersection_point(iPr_def_10,iPr_def_11))
| ( iPr_def_12 != iPr_def_12 )
| ( iPr_def_12 != intersection_point(iPr_def_10,iPr_def_11) ) ),
inference(instantiation,[status(thm)],[c_6620]) ).
tcf(c_9628,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9627,c_4407,c_3999,c_2289,c_1837,c_1293,c_764,c_763,c_157,c_156,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO202+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n020.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Wed Sep 23 11:28:17 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 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
% 0.14/0.39
% 0.14/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.39
% 0.14/0.39 % Detected problem language: tptp
% 0.14/0.40 % Proving...
% 3.17/1.25 % SZS status Started for theBenchmark.p
% 3.17/1.25 % SZS status Theorem for theBenchmark.p
% 3.17/1.25
% 3.17/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.17/1.25
% 3.17/1.25 % ------ iProver source info
% 3.17/1.25
% 3.17/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 3.17/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.17/1.25 % git: non_committed_changes: false
% 3.17/1.25
% 3.17/1.25 % ------ Parsing...
% 3.17/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.17/1.25
% 3.17/1.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.17/1.25
% 3.17/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.17/1.25
% 3.17/1.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.17/1.25 % ------ Proving...
% 3.17/1.25 % ------ Problem Properties
% 3.17/1.25
% 3.17/1.25 %
% 3.17/1.25 % clauses 21
% 3.17/1.25 % conjectures 4
% 3.17/1.25 % EPR 14
% 3.17/1.25 % Horn 15
% 3.17/1.25 % unary 10
% 3.17/1.25 % binary 1
% 3.17/1.25 % lits 45
% 3.17/1.25 % lits eq 3
% 3.17/1.25 % fd_pure 0
% 3.17/1.25 % fd_pseudo 0
% 3.17/1.25 % fd_cond 0
% 3.17/1.25 % fd_pseudo_cond 0
% 3.17/1.25 % AC symbols 0
% 3.17/1.25
% 3.17/1.25 % ------ Schedule dynamic 5 is on
% 3.17/1.25
% 3.17/1.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.17/1.25
% 3.17/1.25
% 3.17/1.25 % ------
% 3.17/1.25 % Current options:
% 3.17/1.25 % ------
% 3.17/1.25
% 3.17/1.25
% 3.17/1.25 %
% 3.17/1.25
% 3.17/1.25 % ------ Proving...
% 3.17/1.25 %
% 3.17/1.25
% 3.17/1.25 % SZS status Theorem for theBenchmark.p
% 3.17/1.25
% 3.17/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.17/1.25
% 3.17/1.25
%------------------------------------------------------------------------------