TSTP Solution File: GEO215+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:17:01 EDT 2024
% Result : Theorem 3.19s 1.17s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 15 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 155 ( 62 ~; 71 |; 12 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 97 ( 0 sgn 66 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
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/theBenchmark.p',con2) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f20,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
fof(f21,conjecture,
! [X5,X6,X7] :
( convergent_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f22,negated_conjecture,
~ ! [X5,X6,X7] :
( convergent_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f29,plain,
~ ! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X0,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f32,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f33,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f38,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f46,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ~ unorthogonal_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f55]) ).
fof(f57,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f58,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f65,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f66,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f70,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f82,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f83,plain,
~ unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f84,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f56]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f57]) ).
cnf(c_50,plain,
~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f58]) ).
cnf(c_53,plain,
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_57,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_58,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_73,plain,
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| unorthogonal_lines(X0,X3)
| unorthogonal_lines(X1,X3) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_74,negated_conjecture,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f84]) ).
cnf(c_75,negated_conjecture,
~ unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f83]) ).
cnf(c_76,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f82]) ).
cnf(c_78,plain,
~ distinct_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_362,plain,
( ~ convergent_lines(sK0,sK1)
| distinct_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_369,plain,
( ~ apart_point_and_line(X0,sK1)
| ~ convergent_lines(sK0,sK1)
| distinct_points(X0,intersection_point(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_371,plain,
( ~ apart_point_and_line(X0,sK0)
| ~ convergent_lines(sK0,sK1)
| distinct_points(X0,intersection_point(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_388,plain,
( ~ distinct_lines(sK1,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,sK1)
| unorthogonal_lines(X0,sK2)
| unorthogonal_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_391,plain,
( ~ distinct_lines(sK0,sK1)
| distinct_lines(sK1,X0)
| distinct_lines(sK0,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_393,plain,
( ~ distinct_lines(sK0,sK1)
| distinct_lines(sK1,sK0)
| distinct_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_391]) ).
cnf(c_416,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ convergent_lines(sK0,sK1)
| distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_369]) ).
cnf(c_417,plain,
~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_555,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ convergent_lines(sK0,sK1)
| distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_371]) ).
cnf(c_1216,plain,
( ~ distinct_lines(sK1,sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| unorthogonal_lines(sK1,sK2)
| unorthogonal_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_388]) ).
cnf(c_1217,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1216,c_555,c_417,c_416,c_393,c_362,c_78,c_74,c_75,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 01:31:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 3.19/1.17 % SZS status Started for theBenchmark.p
% 3.19/1.17 % SZS status Theorem for theBenchmark.p
% 3.19/1.17
% 3.19/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.19/1.17
% 3.19/1.17 ------ iProver source info
% 3.19/1.17
% 3.19/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.19/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.19/1.17 git: non_committed_changes: false
% 3.19/1.17
% 3.19/1.17 ------ Parsing...
% 3.19/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.19/1.17
% 3.19/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.19/1.17
% 3.19/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.19/1.17 ------ Proving...
% 3.19/1.17 ------ Problem Properties
% 3.19/1.17
% 3.19/1.17
% 3.19/1.17 clauses 27
% 3.19/1.17 conjectures 3
% 3.19/1.17 EPR 19
% 3.19/1.17 Horn 15
% 3.19/1.17 unary 10
% 3.19/1.17 binary 2
% 3.19/1.17 lits 68
% 3.19/1.17 lits eq 0
% 3.19/1.17 fd_pure 0
% 3.19/1.17 fd_pseudo 0
% 3.19/1.17 fd_cond 0
% 3.19/1.17 fd_pseudo_cond 0
% 3.19/1.17 AC symbols 0
% 3.19/1.17
% 3.19/1.17 ------ Schedule dynamic 5 is on
% 3.19/1.17
% 3.19/1.17 ------ no equalities: superposition off
% 3.19/1.17
% 3.19/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.19/1.17
% 3.19/1.17
% 3.19/1.17 ------
% 3.19/1.17 Current options:
% 3.19/1.17 ------
% 3.19/1.17
% 3.19/1.17
% 3.19/1.17
% 3.19/1.17
% 3.19/1.17 ------ Proving...
% 3.19/1.17
% 3.19/1.17
% 3.19/1.17 % SZS status Theorem for theBenchmark.p
% 3.19/1.17
% 3.19/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.19/1.17
% 3.19/1.17
%------------------------------------------------------------------------------