TSTP Solution File: GEO205+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Wed Aug 30 23:10:15 EDT 2023
% Result : Theorem 1.19s 1.16s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 9 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 183 ( 72 ~; 86 |; 16 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn; 64 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( ~ distinct_lines(X1,X2)
& convergent_lines(X0,X1) )
=> ( ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ distinct_lines(X1,X2)
& convergent_lines(X0,X1) )
=> ( ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f17,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(f26,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f28,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,[],[f17]) ).
fof(f29,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,[],[f28]) ).
fof(f32,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f33,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
? [X0,X1,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) )
& ~ distinct_lines(X1,X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) )
& ~ distinct_lines(X1,X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) )
& ~ distinct_lines(X1,X2)
& convergent_lines(X0,X1) )
=> ( ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ convergent_lines(sK0,sK2) )
& ~ distinct_lines(sK1,sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ convergent_lines(sK0,sK2) )
& ~ distinct_lines(sK1,sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f38]) ).
fof(f42,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f50,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,[],[f29]) ).
fof(f52,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f55,plain,
~ distinct_lines(sK1,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ convergent_lines(sK0,sK2) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f42]) ).
cnf(c_57,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_58,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
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,[],[f50]) ).
cnf(c_61,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_63,negated_conjecture,
( ~ convergent_lines(sK0,sK2)
| distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_64,negated_conjecture,
~ distinct_lines(sK1,sK2),
inference(cnf_transformation,[],[f55]) ).
cnf(c_65,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f54]) ).
cnf(c_66,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_147,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_148,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_151,plain,
( ~ convergent_lines(sK0,sK1)
| distinct_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_152,plain,
( ~ convergent_lines(sK0,sK1)
| distinct_lines(sK1,sK0)
| convergent_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_162,plain,
( ~ convergent_lines(sK0,sK1)
| distinct_lines(sK1,sK2)
| convergent_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_165,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK2)
| ~ convergent_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_166,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK0)
| ~ convergent_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_169,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ distinct_lines(X0,X1)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK1),X1)
| apart_point_and_line(intersection_point(sK0,sK2),X0)
| apart_point_and_line(intersection_point(sK0,sK2),X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_205,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ distinct_lines(sK1,X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK2),X0)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK2),sK1) ),
inference(instantiation,[status(thm)],[c_169]) ).
cnf(c_206,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ distinct_lines(sK1,sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK2),sK0)
| apart_point_and_line(intersection_point(sK0,sK2),sK1) ),
inference(instantiation,[status(thm)],[c_205]) ).
cnf(c_242,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK1)
| apart_point_and_line(intersection_point(sK0,sK2),X0)
| distinct_lines(sK1,X0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_337,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK1)
| apart_point_and_line(intersection_point(sK0,sK2),sK2)
| distinct_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_242]) ).
cnf(c_338,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_337,c_206,c_165,c_166,c_162,c_152,c_148,c_147,c_63,c_66,c_64,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.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 : Tue Aug 29 23:35:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.19/1.16 % SZS status Started for theBenchmark.p
% 1.19/1.16 % SZS status Theorem for theBenchmark.p
% 1.19/1.16
% 1.19/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.19/1.16
% 1.19/1.16 ------ iProver source info
% 1.19/1.16
% 1.19/1.16 git: date: 2023-05-31 18:12:56 +0000
% 1.19/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.19/1.16 git: non_committed_changes: false
% 1.19/1.16 git: last_make_outside_of_git: false
% 1.19/1.16
% 1.19/1.16 ------ Parsing...
% 1.19/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.19/1.16
% 1.19/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.19/1.16
% 1.19/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.19/1.16 ------ Proving...
% 1.19/1.16 ------ Problem Properties
% 1.19/1.16
% 1.19/1.16
% 1.19/1.16 clauses 17
% 1.19/1.16 conjectures 3
% 1.19/1.16 EPR 12
% 1.19/1.16 Horn 10
% 1.19/1.16 unary 5
% 1.19/1.16 binary 5
% 1.19/1.16 lits 39
% 1.19/1.16 lits eq 0
% 1.19/1.16 fd_pure 0
% 1.19/1.16 fd_pseudo 0
% 1.19/1.16 fd_cond 0
% 1.19/1.16 fd_pseudo_cond 0
% 1.19/1.16 AC symbols 0
% 1.19/1.16
% 1.19/1.16 ------ Schedule dynamic 5 is on
% 1.19/1.16
% 1.19/1.16 ------ no equalities: superposition off
% 1.19/1.16
% 1.19/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.19/1.16
% 1.19/1.16
% 1.19/1.16 ------
% 1.19/1.16 Current options:
% 1.19/1.16 ------
% 1.19/1.16
% 1.19/1.16
% 1.19/1.16
% 1.19/1.16
% 1.19/1.16 ------ Proving...
% 1.19/1.16
% 1.19/1.16
% 1.19/1.16 % SZS status Theorem for theBenchmark.p
% 1.19/1.16
% 1.19/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.19/1.16
% 1.19/1.16
%------------------------------------------------------------------------------