TSTP Solution File: GEO172+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO172+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : Mon Jun 24 06:13:26 EDT 2024
% Result : Theorem 2.34s 1.16s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
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(f9,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(f10,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(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0)
& convergent_lines(X0,X1) )
=> ~ distinct_points(X2,intersection_point(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0)
& convergent_lines(X0,X1) )
=> ~ distinct_points(X2,intersection_point(X0,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f15,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,[],[f9]) ).
fof(f16,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f24,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(f25,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,[],[f24]) ).
fof(f26,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,[],[f15]) ).
fof(f27,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,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f32,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f33,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,[],[f14]) ).
fof(f34,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,[],[f33]) ).
fof(f35,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) )
=> ( distinct_points(sK2,intersection_point(sK0,sK1))
& ~ apart_point_and_line(sK2,sK1)
& ~ apart_point_and_line(sK2,sK0)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( distinct_points(sK2,intersection_point(sK0,sK1))
& ~ apart_point_and_line(sK2,sK1)
& ~ apart_point_and_line(sK2,sK0)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f34,f35]) ).
fof(f37,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f40,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,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,[],[f27]) ).
fof(f48,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
~ apart_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f53,plain,
~ apart_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
distinct_points(sK2,intersection_point(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f37]) ).
cnf(c_50,plain,
~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f38]) ).
cnf(c_52,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_53,plain,
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_57,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_58,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f45]) ).
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,[],[f47]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_63,negated_conjecture,
distinct_points(sK2,intersection_point(sK0,sK1)),
inference(cnf_transformation,[],[f54]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f53]) ).
cnf(c_65,negated_conjecture,
~ apart_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f52]) ).
cnf(c_66,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
cnf(c_154,plain,
intersection_point(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_155,negated_conjecture,
convergent_lines(sK0,sK1),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_156,negated_conjecture,
~ apart_point_and_line(sK2,sK0),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_157,negated_conjecture,
~ apart_point_and_line(sK2,sK1),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_158,negated_conjecture,
distinct_points(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_63,c_154]) ).
cnf(c_422,plain,
( distinct_points(sK2,X0)
| distinct_points(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_158,c_52]) ).
cnf(c_430,plain,
distinct_lines(sK0,sK1),
inference(superposition,[status(thm)],[c_155,c_62]) ).
cnf(c_453,plain,
( distinct_lines(sK0,X0)
| distinct_lines(sK1,X0) ),
inference(superposition,[status(thm)],[c_430,c_53]) ).
cnf(c_461,plain,
distinct_points(sP0_iProver_def,sK2),
inference(superposition,[status(thm)],[c_422,c_49]) ).
cnf(c_462,plain,
( distinct_points(X0,X1)
| distinct_points(sK2,X1)
| distinct_points(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_422,c_52]) ).
cnf(c_485,plain,
( distinct_lines(X0,X1)
| distinct_lines(sK0,X0)
| distinct_lines(sK1,X1) ),
inference(superposition,[status(thm)],[c_453,c_53]) ).
cnf(c_505,plain,
( distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(sK2,X1)
| distinct_points(sP0_iProver_def,X2) ),
inference(superposition,[status(thm)],[c_462,c_52]) ).
cnf(c_617,plain,
( distinct_lines(sK0,sK0)
| distinct_lines(sK1,sK0) ),
inference(equality_factoring,[status(thm)],[c_485]) ).
cnf(c_618,plain,
distinct_lines(sK1,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_617,c_50]) ).
cnf(c_670,plain,
( distinct_points(X0,X1)
| distinct_points(X0,sP0_iProver_def)
| distinct_points(sK2,X1) ),
inference(superposition,[status(thm)],[c_505,c_49]) ).
cnf(c_732,plain,
( ~ distinct_points(sP0_iProver_def,X0)
| distinct_points(X0,X1)
| distinct_points(sP0_iProver_def,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_763,plain,
( ~ apart_point_and_line(X0,sK1)
| ~ convergent_lines(sK0,sK1)
| distinct_points(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_154,c_57]) ).
cnf(c_768,plain,
( ~ apart_point_and_line(X0,sK1)
| distinct_points(X0,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_763,c_155]) ).
cnf(c_884,plain,
~ distinct_points(sP0_iProver_def,sP0_iProver_def),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1228,plain,
( ~ apart_point_and_line(X0,sK0)
| ~ convergent_lines(sK0,sK1)
| distinct_points(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_154,c_58]) ).
cnf(c_1233,plain,
( ~ apart_point_and_line(X0,sK0)
| distinct_points(X0,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1228,c_155]) ).
cnf(c_1269,plain,
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK2,X1)
| apart_point_and_line(sP0_iProver_def,X0)
| apart_point_and_line(sP0_iProver_def,X1) ),
inference(superposition,[status(thm)],[c_461,c_59]) ).
cnf(c_1549,plain,
( ~ distinct_points(sP0_iProver_def,X0)
| distinct_points(X0,sP0_iProver_def)
| distinct_points(sP0_iProver_def,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_732]) ).
cnf(c_1687,plain,
( ~ apart_point_and_line(sP0_iProver_def,sK0)
| distinct_points(sP0_iProver_def,X0)
| apart_point_and_line(X0,sK0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_1773,plain,
( apart_point_and_line(sK2,sK0)
| apart_point_and_line(sK2,sK1)
| apart_point_and_line(sP0_iProver_def,sK0)
| apart_point_and_line(sP0_iProver_def,sK1) ),
inference(superposition,[status(thm)],[c_618,c_1269]) ).
cnf(c_1779,plain,
( apart_point_and_line(sP0_iProver_def,sK0)
| apart_point_and_line(sP0_iProver_def,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1773,c_157,c_156]) ).
cnf(c_1888,plain,
( distinct_points(sP0_iProver_def,sP0_iProver_def)
| apart_point_and_line(sP0_iProver_def,sK0) ),
inference(superposition,[status(thm)],[c_1779,c_768]) ).
cnf(c_1889,plain,
apart_point_and_line(sP0_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_1888,c_49]) ).
cnf(c_1942,plain,
distinct_points(X0,sP0_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_670,c_884,c_1233,c_1549,c_1687,c_1889]) ).
cnf(c_1945,plain,
$false,
inference(superposition,[status(thm)],[c_1942,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO172+2 : TPTP v8.2.0. Released v3.3.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 08:12:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 2.34/1.16 % SZS status Started for theBenchmark.p
% 2.34/1.16 % SZS status Theorem for theBenchmark.p
% 2.34/1.16
% 2.34/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.34/1.16
% 2.34/1.16 ------ iProver source info
% 2.34/1.16
% 2.34/1.16 git: date: 2024-06-12 09:56:46 +0000
% 2.34/1.16 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.34/1.16 git: non_committed_changes: false
% 2.34/1.16
% 2.34/1.16 ------ Parsing...
% 2.34/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.34/1.16
% 2.34/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.34/1.16
% 2.34/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.34/1.16
% 2.34/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.34/1.16 ------ Proving...
% 2.34/1.16 ------ Problem Properties
% 2.34/1.16
% 2.34/1.16
% 2.34/1.16 clauses 19
% 2.34/1.16 conjectures 4
% 2.34/1.16 EPR 14
% 2.34/1.16 Horn 13
% 2.34/1.16 unary 8
% 2.34/1.16 binary 1
% 2.34/1.16 lits 43
% 2.34/1.16 lits eq 1
% 2.34/1.16 fd_pure 0
% 2.34/1.16 fd_pseudo 0
% 2.34/1.16 fd_cond 0
% 2.34/1.16 fd_pseudo_cond 0
% 2.34/1.16 AC symbols 0
% 2.34/1.16
% 2.34/1.16 ------ Schedule dynamic 5 is on
% 2.34/1.16
% 2.34/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.34/1.16
% 2.34/1.16
% 2.34/1.16 ------
% 2.34/1.16 Current options:
% 2.34/1.16 ------
% 2.34/1.16
% 2.34/1.16
% 2.34/1.16
% 2.34/1.16
% 2.34/1.16 ------ Proving...
% 2.34/1.16
% 2.34/1.16
% 2.34/1.16 % SZS status Theorem for theBenchmark.p
% 2.34/1.16
% 2.34/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.34/1.16
% 2.34/1.17
%------------------------------------------------------------------------------