TSTP Solution File: GEO198+3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO198+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:16:53 EDT 2024
% Result : Theorem 2.78s 1.12s
% Output : CNFRefutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 14 unt; 0 def)
% Number of atoms : 198 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 203 ( 72 ~; 92 |; 29 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 72 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> incident_point_and_line(intersection_point(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> incident_point_and_line(intersection_point(X0,X2),X1) ),
inference(negated_conjecture,[],[f36]) ).
fof(f38,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(rectify,[],[f11]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( 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(ennf_transformation,[],[f38]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( 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(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f64,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f63]) ).
fof(f67,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f68,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f67]) ).
fof(f89,plain,
? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X0,X2),X1)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f90,plain,
? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X0,X2),X1)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) )
& ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f92,plain,
( ? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X0,X2),X1)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( ~ incident_point_and_line(intersection_point(sK0,sK2),sK1)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ~ incident_point_and_line(intersection_point(sK0,sK2),sK1)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f90,f92]) ).
fof(f96,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f103,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f104,plain,
! [X2,X3,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)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f105,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f107,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f130,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f131,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f132,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f135,plain,
incident_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f136,plain,
~ incident_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f93]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f96]) ).
cnf(c_57,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_58,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_59,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_85,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_86,plain,
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_87,negated_conjecture,
~ incident_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f136]) ).
cnf(c_88,negated_conjecture,
incident_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f135]) ).
cnf(c_89,negated_conjecture,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f134]) ).
cnf(c_91,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f132]) ).
cnf(c_92,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_110,plain,
( ~ incident_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
cnf(c_111,plain,
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(renaming,[status(thm)],[c_110]) ).
cnf(c_112,plain,
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_113,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(renaming,[status(thm)],[c_112]) ).
cnf(c_196,plain,
( distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| incident_point_and_line(X0,X2) ),
inference(bin_hyper_res,[status(thm)],[c_60,c_113]) ).
cnf(c_399,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(resolution,[status(thm)],[c_111,c_88]) ).
cnf(c_423,plain,
( distinct_points(intersection_point(sK0,sK2),X0)
| apart_point_and_line(X0,sK1) ),
inference(resolution,[status(thm)],[c_87,c_196]) ).
cnf(c_622,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK0)
| ~ convergent_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_624,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_625,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK2)
| ~ convergent_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_627,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_634,plain,
( ~ convergent_lines(sK0,sK2)
| distinct_lines(sK2,X0)
| convergent_lines(sK0,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_635,plain,
( ~ convergent_lines(sK0,sK2)
| distinct_lines(sK2,sK0)
| convergent_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_634]) ).
cnf(c_683,plain,
( ~ distinct_points(intersection_point(sK0,sK2),X0)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(intersection_point(sK0,sK2),X1)
| apart_point_and_line(intersection_point(sK0,sK2),X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_767,plain,
( ~ distinct_points(intersection_point(sK0,sK2),X0)
| ~ distinct_lines(sK2,X1)
| apart_point_and_line(intersection_point(sK0,sK2),X1)
| apart_point_and_line(intersection_point(sK0,sK2),sK2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,sK2) ),
inference(instantiation,[status(thm)],[c_683]) ).
cnf(c_1303,plain,
( distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK1))
| apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_1842,plain,
( ~ distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK1))
| ~ distinct_lines(sK2,X0)
| apart_point_and_line(intersection_point(sK0,sK2),X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK2),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(instantiation,[status(thm)],[c_767]) ).
cnf(c_1843,plain,
( ~ distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK1))
| ~ distinct_lines(sK2,sK0)
| apart_point_and_line(intersection_point(sK0,sK2),sK0)
| apart_point_and_line(intersection_point(sK0,sK2),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(instantiation,[status(thm)],[c_1842]) ).
cnf(c_1844,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1843,c_1303,c_635,c_627,c_625,c_624,c_622,c_399,c_92,c_89,c_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO198+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 01:13:19 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.78/1.12 % SZS status Started for theBenchmark.p
% 2.78/1.12 % SZS status Theorem for theBenchmark.p
% 2.78/1.12
% 2.78/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.78/1.12
% 2.78/1.12 ------ iProver source info
% 2.78/1.12
% 2.78/1.12 git: date: 2024-05-02 19:28:25 +0000
% 2.78/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.78/1.12 git: non_committed_changes: false
% 2.78/1.12
% 2.78/1.12 ------ Parsing...
% 2.78/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.78/1.12
% 2.78/1.12 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.78/1.12
% 2.78/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.78/1.12 ------ Proving...
% 2.78/1.12 ------ Problem Properties
% 2.78/1.12
% 2.78/1.12
% 2.78/1.12 clauses 35
% 2.78/1.12 conjectures 3
% 2.78/1.12 EPR 23
% 2.78/1.12 Horn 17
% 2.78/1.12 unary 12
% 2.78/1.12 binary 8
% 2.78/1.12 lits 84
% 2.78/1.12 lits eq 0
% 2.78/1.12 fd_pure 0
% 2.78/1.12 fd_pseudo 0
% 2.78/1.12 fd_cond 0
% 2.78/1.12 fd_pseudo_cond 0
% 2.78/1.12 AC symbols 0
% 2.78/1.12
% 2.78/1.12 ------ Schedule dynamic 5 is on
% 2.78/1.12
% 2.78/1.12 ------ no equalities: superposition off
% 2.78/1.12
% 2.78/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.78/1.12
% 2.78/1.12
% 2.78/1.12 ------
% 2.78/1.12 Current options:
% 2.78/1.12 ------
% 2.78/1.12
% 2.78/1.12
% 2.78/1.12
% 2.78/1.12
% 2.78/1.12 ------ Proving...
% 2.78/1.12
% 2.78/1.12
% 2.78/1.12 % SZS status Theorem for theBenchmark.p
% 2.78/1.12
% 2.78/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.78/1.12
% 2.78/1.12
%------------------------------------------------------------------------------