TSTP Solution File: GEO198+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO198+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 2.45s 1.16s
% Output : CNFRefutation 2.55s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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(f15,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X0,X2),X1) ),
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(f30,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(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
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] :
( apart_point_and_line(intersection_point(X0,X2),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f37,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X0,X2),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X0,X2),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(sK0,sK2),sK1)
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK1)
& ~ apart_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])],[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(f51,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
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(f56,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f57,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
apart_point_and_line(intersection_point(sK0,sK2),sK1),
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_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f51]) ).
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,
apart_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f58]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f57]) ).
cnf(c_65,negated_conjecture,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f56]) ).
cnf(c_67,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f54]) ).
cnf(c_68,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_152,plain,
intersection_point(sK0,sK2) = sP1_iProver_def,
definition ).
cnf(c_155,negated_conjecture,
convergent_lines(sK0,sK2),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_157,negated_conjecture,
apart_point_and_line(sP1_iProver_def,sK1),
inference(demodulation,[status(thm)],[c_63,c_152]) ).
cnf(c_628,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_631,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_727,plain,
( ~ apart_point_and_line(sP1_iProver_def,sK1)
| distinct_points(sP1_iProver_def,X0)
| apart_point_and_line(X0,sK1) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_732,plain,
( ~ convergent_lines(sK0,sK2)
| distinct_lines(sK2,X0)
| convergent_lines(sK0,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_733,plain,
( ~ convergent_lines(sK0,sK2)
| distinct_lines(sK2,sK0)
| convergent_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_732]) ).
cnf(c_749,plain,
( ~ convergent_lines(sK0,sK2)
| ~ apart_point_and_line(sP1_iProver_def,sK0) ),
inference(superposition,[status(thm)],[c_152,c_57]) ).
cnf(c_752,plain,
~ apart_point_and_line(sP1_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_749,c_155]) ).
cnf(c_757,plain,
( ~ convergent_lines(sK0,sK2)
| ~ apart_point_and_line(sP1_iProver_def,sK2) ),
inference(superposition,[status(thm)],[c_152,c_58]) ).
cnf(c_760,plain,
~ apart_point_and_line(sP1_iProver_def,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_757,c_155]) ).
cnf(c_1104,plain,
( ~ distinct_lines(X0,X1)
| ~ distinct_points(sP1_iProver_def,X2)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(sP1_iProver_def,X0)
| apart_point_and_line(sP1_iProver_def,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1742,plain,
( ~ distinct_points(sP1_iProver_def,X0)
| ~ distinct_lines(sK2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,sK2)
| apart_point_and_line(sP1_iProver_def,X1)
| apart_point_and_line(sP1_iProver_def,sK2) ),
inference(instantiation,[status(thm)],[c_1104]) ).
cnf(c_2104,plain,
( ~ apart_point_and_line(sP1_iProver_def,sK1)
| distinct_points(sP1_iProver_def,intersection_point(sK0,sK1))
| apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
inference(instantiation,[status(thm)],[c_727]) ).
cnf(c_2749,plain,
( ~ distinct_points(sP1_iProver_def,intersection_point(sK0,sK1))
| ~ distinct_lines(sK2,sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK2)
| apart_point_and_line(sP1_iProver_def,sK0)
| apart_point_and_line(sP1_iProver_def,sK2) ),
inference(instantiation,[status(thm)],[c_1742]) ).
cnf(c_2750,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2749,c_2104,c_760,c_752,c_733,c_631,c_628,c_157,c_64,c_68,c_65,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO198+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.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 01:45:24 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
% 2.45/1.16 % SZS status Started for theBenchmark.p
% 2.45/1.16 % SZS status Theorem for theBenchmark.p
% 2.45/1.16
% 2.45/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.45/1.16
% 2.45/1.16 ------ iProver source info
% 2.45/1.16
% 2.45/1.16 git: date: 2024-05-02 19:28:25 +0000
% 2.45/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.45/1.16 git: non_committed_changes: false
% 2.45/1.16
% 2.45/1.16 ------ Parsing...
% 2.45/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.45/1.16
% 2.45/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.45/1.16
% 2.45/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.45/1.16
% 2.45/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.45/1.16 ------ Proving...
% 2.45/1.16 ------ Problem Properties
% 2.45/1.16
% 2.45/1.16
% 2.45/1.16 clauses 21
% 2.45/1.16 conjectures 5
% 2.45/1.16 EPR 15
% 2.45/1.16 Horn 14
% 2.45/1.16 unary 10
% 2.45/1.16 binary 4
% 2.45/1.16 lits 42
% 2.45/1.16 lits eq 2
% 2.45/1.16 fd_pure 0
% 2.45/1.16 fd_pseudo 0
% 2.45/1.16 fd_cond 0
% 2.45/1.16 fd_pseudo_cond 0
% 2.45/1.16 AC symbols 0
% 2.45/1.16
% 2.45/1.16 ------ Schedule dynamic 5 is on
% 2.45/1.16
% 2.45/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.45/1.16
% 2.45/1.16
% 2.45/1.16 ------
% 2.45/1.16 Current options:
% 2.45/1.16 ------
% 2.45/1.16
% 2.45/1.16
% 2.45/1.16
% 2.45/1.16
% 2.45/1.16 ------ Proving...
% 2.45/1.16
% 2.45/1.16
% 2.45/1.16 % SZS status Theorem for theBenchmark.p
% 2.45/1.16
% 2.45/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.55/1.16
% 2.55/1.17
%------------------------------------------------------------------------------