%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO205+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 01:20:19 PM UTC 2026
% Result : Theorem 2.40s 1.29s
% Output : CNFRefutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 89 ( 13 unt; 0 def)
% Number of atoms : 236 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 241 ( 94 ~; 123 |; 11 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 149 ( 0 sgn 143 !; 6 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
fof(f11,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/GEO006+0.ax',cu1) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
fof(f31,axiom,
! [X0,X1] :
( equal_points(X0,X1)
<=> ~ distinct_points(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax1) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( equal_lines(X1,X2)
& convergent_lines(X0,X1) )
=> ( equal_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( equal_lines(X1,X2)
& convergent_lines(X0,X1) )
=> ( equal_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( equal_lines(X0,X1)
=> ~ distinct_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f39,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
=> equal_points(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f40,plain,
? [X0,X1,X2] :
( equal_lines(X1,X2)
& convergent_lines(X0,X1)
& ( ~ equal_points(intersection_point(X0,X1),intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f41,plain,
? [X0,X1,X2] :
( equal_lines(X1,X2)
& convergent_lines(X0,X1)
& ( ~ equal_points(intersection_point(X0,X1),intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ) ),
inference(flattening,[],[f40]) ).
fof(f44,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f45,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( distinct_points(X0,X1)
| equal_points(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f49,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f60]) ).
fof(f64,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,[],[f11]) ).
fof(f65,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,[],[f64]) ).
fof(f68,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f69]) ).
fof(f82,plain,
( equal_lines(sK1,sK2)
& convergent_lines(sK0,sK1)
& ( ~ equal_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ convergent_lines(sK0,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f41]) ).
fof(f83,plain,
equal_lines(sK1,sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f84,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f82]) ).
fof(f85,plain,
( ~ equal_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ convergent_lines(sK0,sK2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f87,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f88,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f90,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f91,plain,
! [X0,X1] :
( distinct_points(X0,X1)
| equal_points(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f92,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f100,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,[],[f65]) ).
fof(f103,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_49,negated_conjecture,
( ~ convergent_lines(sK0,sK2)
| ~ equal_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_50,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f84]) ).
tcf(c_51,negated_conjecture,
equal_lines(sK1,sK2),
inference(cnf_transformation,[],[f83]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_56,plain,
! [X0: $i] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f90]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( distinct_points(X0,X1)
| equal_points(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ~ distinct_lines(X0,X1)
| ~ equal_lines(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_66,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,[],[f100]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_92,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_301,plain,
~ distinct_lines(sK1,sK2),
inference(resolution,[status(thm)],[c_51,c_58]) ).
tcf(c_306,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ convergent_lines(sK0,sK2) ),
inference(resolution,[status(thm)],[c_49,c_57]) ).
tcf(c_473,plain,
( ~ convergent_lines(sK0,sK1)
| ~ apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_474,plain,
( ~ convergent_lines(sK0,sK1)
| ~ apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_477,plain,
! [X0: $i] :
( distinct_lines(sK1,X0)
| convergent_lines(sK0,X0)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_478,plain,
( distinct_lines(sK1,sK0)
| convergent_lines(sK0,sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_477]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i] :
( convergent_lines(sK1,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(sK1,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_500,plain,
! [X0: $i] :
( convergent_lines(sK1,X0)
| ~ distinct_lines(sK1,X0) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_503,plain,
( distinct_lines(sK1,sK2)
| convergent_lines(sK0,sK2)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_477]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i] :
( distinct_lines(sK1,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,sK1) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_510,plain,
~ convergent_lines(sK1,sK1),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_576,plain,
( ~ convergent_lines(sK0,sK2)
| ~ apart_point_and_line(intersection_point(sK0,sK2),sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_577,plain,
( ~ convergent_lines(sK0,sK2)
| ~ apart_point_and_line(intersection_point(sK0,sK2),sK2) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i] :
( apart_point_and_line(intersection_point(sK0,sK1),X1)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK2),X1)
| apart_point_and_line(intersection_point(sK0,sK2),X0)
| ~ distinct_lines(X0,X1)
| ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_640,plain,
! [X0: $i] :
( convergent_lines(sK1,sK1)
| convergent_lines(X0,sK1)
| ~ convergent_lines(sK1,X0) ),
inference(instantiation,[status(thm)],[c_493]) ).
tcf(c_651,plain,
! [X0: $i] :
( distinct_lines(sK1,sK2)
| convergent_lines(X0,sK2)
| ~ convergent_lines(X0,sK1) ),
inference(instantiation,[status(thm)],[c_505]) ).
tcf(c_863,plain,
! [X0: $i] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_921,plain,
! [X0: $i,X1: $i] :
( convergent_lines(sK1,X1)
| convergent_lines(sK0,X0)
| convergent_lines(X0,X1) ),
inference(superposition,[status(thm)],[c_863,c_55]) ).
tcf(c_990,plain,
! [X0: $i] :
( convergent_lines(sK0,X0)
| convergent_lines(X0,sK1) ),
inference(superposition,[status(thm)],[c_921,c_56]) ).
tcf(c_1108,plain,
! [X0: $i] :
( convergent_lines(X0,sK2)
| ~ distinct_lines(X0,sK2) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_1117,plain,
! [X0: $i,X1: $i] :
( convergent_lines(sK2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,sK2) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_1120,plain,
( distinct_lines(sK1,sK2)
| convergent_lines(sK2,sK2)
| ~ convergent_lines(sK2,sK1) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_1121,plain,
~ convergent_lines(sK2,sK2),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_1130,plain,
! [X0: $i,X1: $i] :
( convergent_lines(sK0,X1)
| convergent_lines(X0,sK1)
| convergent_lines(X0,X1) ),
inference(superposition,[status(thm)],[c_990,c_55]) ).
tcf(c_1167,plain,
! [X0: $i] :
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK2),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK2),X0)
| ~ distinct_lines(sK1,X0)
| ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_1168,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK0,sK2),sK1)
| apart_point_and_line(intersection_point(sK0,sK2),sK0)
| ~ distinct_lines(sK1,sK0)
| ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
inference(instantiation,[status(thm)],[c_1167]) ).
tcf(c_3580,plain,
! [X0: $i] :
( distinct_lines(sK1,X0)
| apart_point_and_line(intersection_point(sK0,sK2),X0)
| ~ apart_point_and_line(intersection_point(sK0,sK2),sK1) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_3847,plain,
! [X0: $i] :
( convergent_lines(X0,sK1)
| convergent_lines(X0,sK0) ),
inference(superposition,[status(thm)],[c_1130,c_56]) ).
tcf(c_4219,plain,
! [X0: $i] :
( distinct_lines(X0,sK2)
| apart_point_and_line(intersection_point(sK0,sK2),sK2)
| ~ apart_point_and_line(intersection_point(sK0,sK2),X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_4731,plain,
! [X0: $i] :
( convergent_lines(sK2,sK1)
| convergent_lines(X0,sK1)
| ~ convergent_lines(X0,sK2) ),
inference(instantiation,[status(thm)],[c_1117]) ).
tcf(c_5224,plain,
! [X0: $i] : convergent_lines(X0,sK1),
inference(global_subsumption_just,[status(thm)],[c_3847,c_50,c_92,c_301,c_306,c_473,c_474,c_478,c_500,c_503,c_510,c_577,c_576,c_640,c_1108,c_1120,c_1121,c_1168,c_3580,c_4219,c_4731]) ).
tcf(c_5229,plain,
$false,
inference(superposition,[status(thm)],[c_5224,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO205+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n008.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
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 11:29:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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...
% 2.40/1.29 % SZS status Started for theBenchmark.p
% 2.40/1.29 % SZS status Theorem for theBenchmark.p
% 2.40/1.29
% 2.40/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.40/1.29
% 2.40/1.29 % ------ iProver source info
% 2.40/1.29
% 2.40/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.40/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.40/1.29 % git: non_committed_changes: false
% 2.40/1.29
% 2.40/1.29 % ------ Parsing...
% 2.40/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.40/1.29
% 2.40/1.29 % ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.40/1.29
% 2.40/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.40/1.29 % ------ Proving...
% 2.40/1.29 % ------ Problem Properties
% 2.40/1.29
% 2.40/1.29 %
% 2.40/1.29 % clauses 31
% 2.40/1.29 % conjectures 1
% 2.40/1.29 % EPR 22
% 2.40/1.29 % Horn 15
% 2.40/1.29 % unary 9
% 2.40/1.29 % binary 7
% 2.40/1.29 % lits 79
% 2.40/1.29 % lits eq 0
% 2.40/1.29 % fd_pure 0
% 2.40/1.29 % fd_pseudo 0
% 2.40/1.29 % fd_cond 0
% 2.40/1.29 % fd_pseudo_cond 0
% 2.40/1.29 % AC symbols 0
% 2.40/1.29
% 2.40/1.29 % ------ Schedule dynamic 5 is on
% 2.40/1.29
% 2.40/1.29 % ------ no equalities: superposition off
% 2.40/1.29
% 2.40/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.40/1.29
% 2.40/1.29
% 2.40/1.29 % ------
% 2.40/1.29 % Current options:
% 2.40/1.29 % ------
% 2.40/1.29
% 2.40/1.29
% 2.40/1.29 %
% 2.40/1.29
% 2.40/1.29 % ------ Proving...
% 2.40/1.29 %
% 2.40/1.29
% 2.40/1.29 % SZS status Theorem for theBenchmark.p
% 2.40/1.29
% 2.40/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.40/1.29
% 2.40/1.29
%------------------------------------------------------------------------------