TSTP Solution File: GEO203+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO203+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 02:16:55 EDT 2024
% Result : Theorem 2.49s 1.17s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
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(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(f15,conjecture,
! [X0,X1,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
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(f24,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
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(f36,plain,
? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f37,plain,
? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ( distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f38]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
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(f54,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f55,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
inference(cnf_transformation,[],[f39]) ).
fof(f57,plain,
distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f39]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_57,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
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_63,negated_conjecture,
distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f57]) ).
cnf(c_64,negated_conjecture,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
inference(cnf_transformation,[],[f56]) ).
cnf(c_65,negated_conjecture,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f55]) ).
cnf(c_66,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f54]) ).
cnf(c_148,plain,
intersection_point(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_149,plain,
intersection_point(sK0,sK2) = sP1_iProver_def,
definition ).
cnf(c_150,plain,
line_connecting(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_151,negated_conjecture,
convergent_lines(sK0,sK1),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_152,negated_conjecture,
convergent_lines(sK0,sK2),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_153,negated_conjecture,
distinct_points(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_64,c_149,c_148]) ).
cnf(c_154,negated_conjecture,
distinct_lines(sP2_iProver_def,sK0),
inference(demodulation,[status(thm)],[c_63,c_150]) ).
cnf(c_737,plain,
( ~ distinct_points(sP0_iProver_def,sP1_iProver_def)
| ~ apart_point_and_line(sP0_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_150,c_55]) ).
cnf(c_738,plain,
~ apart_point_and_line(sP0_iProver_def,sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_737,c_153]) ).
cnf(c_743,plain,
( ~ distinct_points(sP0_iProver_def,sP1_iProver_def)
| ~ apart_point_and_line(sP1_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_150,c_56]) ).
cnf(c_744,plain,
~ apart_point_and_line(sP1_iProver_def,sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_743,c_153]) ).
cnf(c_750,plain,
( ~ convergent_lines(sK0,sK1)
| ~ apart_point_and_line(sP0_iProver_def,sK0) ),
inference(superposition,[status(thm)],[c_148,c_57]) ).
cnf(c_751,plain,
( ~ convergent_lines(sK0,sK2)
| ~ apart_point_and_line(sP1_iProver_def,sK0) ),
inference(superposition,[status(thm)],[c_149,c_57]) ).
cnf(c_752,plain,
~ apart_point_and_line(sP1_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_751,c_152]) ).
cnf(c_753,plain,
~ apart_point_and_line(sP0_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_750,c_151]) ).
cnf(c_874,plain,
( ~ distinct_lines(X0,X1)
| ~ distinct_points(sP0_iProver_def,sP1_iProver_def)
| apart_point_and_line(sP0_iProver_def,X0)
| apart_point_and_line(sP0_iProver_def,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_1588,plain,
( ~ distinct_points(sP0_iProver_def,sP1_iProver_def)
| ~ distinct_lines(sP2_iProver_def,sK0)
| apart_point_and_line(sP0_iProver_def,sK0)
| apart_point_and_line(sP0_iProver_def,sP2_iProver_def)
| apart_point_and_line(sP1_iProver_def,sK0)
| apart_point_and_line(sP1_iProver_def,sP2_iProver_def) ),
inference(instantiation,[status(thm)],[c_874]) ).
cnf(c_1589,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1588,c_752,c_753,c_744,c_738,c_154,c_153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO203+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 01:42:21 EDT 2024
% 0.13/0.34 % 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
% 2.49/1.17 % SZS status Started for theBenchmark.p
% 2.49/1.17 % SZS status Theorem for theBenchmark.p
% 2.49/1.17
% 2.49/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.49/1.17
% 2.49/1.17 ------ iProver source info
% 2.49/1.17
% 2.49/1.17 git: date: 2024-05-02 19:28:25 +0000
% 2.49/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.49/1.17 git: non_committed_changes: false
% 2.49/1.17
% 2.49/1.17 ------ Parsing...
% 2.49/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.49/1.17
% 2.49/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.49/1.17
% 2.49/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.49/1.17
% 2.49/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.49/1.17 ------ Proving...
% 2.49/1.17 ------ Problem Properties
% 2.49/1.17
% 2.49/1.17
% 2.49/1.17 clauses 21
% 2.49/1.17 conjectures 4
% 2.49/1.17 EPR 14
% 2.49/1.17 Horn 14
% 2.49/1.17 unary 10
% 2.49/1.17 binary 4
% 2.49/1.17 lits 42
% 2.49/1.17 lits eq 3
% 2.49/1.17 fd_pure 0
% 2.49/1.17 fd_pseudo 0
% 2.49/1.17 fd_cond 0
% 2.49/1.17 fd_pseudo_cond 0
% 2.49/1.17 AC symbols 0
% 2.49/1.17
% 2.49/1.17 ------ Schedule dynamic 5 is on
% 2.49/1.17
% 2.49/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.49/1.17
% 2.49/1.17
% 2.49/1.17 ------
% 2.49/1.17 Current options:
% 2.49/1.17 ------
% 2.49/1.17
% 2.49/1.17
% 2.49/1.17
% 2.49/1.17
% 2.49/1.17 ------ Proving...
% 2.49/1.17
% 2.49/1.17
% 2.49/1.17 % SZS status Theorem for theBenchmark.p
% 2.49/1.17
% 2.49/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.49/1.17
% 2.49/1.18
%------------------------------------------------------------------------------