TSTP Solution File: GEO175+3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO175+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:16:41 EDT 2024
% Result : Theorem 2.96s 1.22s
% Output : CNFRefutation 2.96s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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(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(f36,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
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(f51,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
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(ennf_transformation,[],[f38]) ).
fof(f63,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,[],[f62]) ).
fof(f68,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f69,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f90,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f91,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f91,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,[],[f60]) ).
fof(f103,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
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,[],[f63]) ).
fof(f107,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f131,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f93]) ).
fof(f132,plain,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f93]) ).
fof(f133,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
~ apart_point_and_line(sK0,sK3),
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_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_85,negated_conjecture,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f134]) ).
cnf(c_86,negated_conjecture,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f133]) ).
cnf(c_87,negated_conjecture,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f132]) ).
cnf(c_88,negated_conjecture,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f131]) ).
cnf(c_454,plain,
intersection_point(sK2,sK3) = sP0_iProver_def,
definition ).
cnf(c_456,negated_conjecture,
convergent_lines(sK2,sK3),
inference(demodulation,[status(thm)],[c_88]) ).
cnf(c_457,negated_conjecture,
distinct_points(sK0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_87,c_454]) ).
cnf(c_1324,plain,
( ~ convergent_lines(sK2,sK3)
| distinct_lines(sK3,X0)
| convergent_lines(sK2,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_1520,plain,
( ~ distinct_lines(X0,X1)
| ~ distinct_points(sK0,sP0_iProver_def)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sP0_iProver_def,X0)
| apart_point_and_line(sP0_iProver_def,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1527,plain,
( ~ convergent_lines(sK2,sK3)
| ~ apart_point_and_line(sP0_iProver_def,sK2) ),
inference(superposition,[status(thm)],[c_454,c_57]) ).
cnf(c_1528,plain,
~ apart_point_and_line(sP0_iProver_def,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_1527,c_456]) ).
cnf(c_1542,plain,
( ~ convergent_lines(sK2,sK3)
| ~ apart_point_and_line(sP0_iProver_def,sK3) ),
inference(superposition,[status(thm)],[c_454,c_58]) ).
cnf(c_1543,plain,
~ apart_point_and_line(sP0_iProver_def,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_1542,c_456]) ).
cnf(c_1879,plain,
( ~ convergent_lines(sK2,sK3)
| distinct_lines(sK3,sK2)
| convergent_lines(sK2,sK2) ),
inference(instantiation,[status(thm)],[c_1324]) ).
cnf(c_1880,plain,
~ convergent_lines(sK2,sK2),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2921,plain,
( ~ distinct_points(sK0,sP0_iProver_def)
| ~ distinct_lines(sK3,sK2)
| apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2)
| apart_point_and_line(sP0_iProver_def,sK3)
| apart_point_and_line(sP0_iProver_def,sK2) ),
inference(instantiation,[status(thm)],[c_1520]) ).
cnf(c_2926,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2921,c_1880,c_1879,c_1543,c_1528,c_457,c_85,c_86,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO175+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 01:13:49 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.96/1.22 % SZS status Started for theBenchmark.p
% 2.96/1.22 % SZS status Theorem for theBenchmark.p
% 2.96/1.22
% 2.96/1.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.96/1.22
% 2.96/1.22 ------ iProver source info
% 2.96/1.22
% 2.96/1.22 git: date: 2024-05-02 19:28:25 +0000
% 2.96/1.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.96/1.22 git: non_committed_changes: false
% 2.96/1.22
% 2.96/1.22 ------ Parsing...
% 2.96/1.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.96/1.22
% 2.96/1.22 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.96/1.22
% 2.96/1.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.96/1.22
% 2.96/1.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.96/1.22 ------ Proving...
% 2.96/1.22 ------ Problem Properties
% 2.96/1.22
% 2.96/1.22
% 2.96/1.22 clauses 34
% 2.96/1.22 conjectures 5
% 2.96/1.22 EPR 25
% 2.96/1.22 Horn 18
% 2.96/1.22 unary 13
% 2.96/1.22 binary 6
% 2.96/1.22 lits 81
% 2.96/1.22 lits eq 1
% 2.96/1.22 fd_pure 0
% 2.96/1.22 fd_pseudo 0
% 2.96/1.22 fd_cond 0
% 2.96/1.22 fd_pseudo_cond 0
% 2.96/1.22 AC symbols 0
% 2.96/1.22
% 2.96/1.22 ------ Schedule dynamic 5 is on
% 2.96/1.22
% 2.96/1.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.96/1.22
% 2.96/1.22
% 2.96/1.22 ------
% 2.96/1.22 Current options:
% 2.96/1.22 ------
% 2.96/1.22
% 2.96/1.22
% 2.96/1.22
% 2.96/1.22
% 2.96/1.22 ------ Proving...
% 2.96/1.22
% 2.96/1.22
% 2.96/1.22 % SZS status Theorem for theBenchmark.p
% 2.96/1.22
% 2.96/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.96/1.22
% 2.96/1.23
%------------------------------------------------------------------------------