TSTP Solution File: GEO231+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 : Fri May 3 02:17:08 EDT 2024
% Result : Theorem 2.10s 1.17s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag5) ).
fof(f11,axiom,
! [X1,X2,X5] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X2,X5)
| unequally_directed_lines(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).
fof(f14,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).
fof(f18,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2)
& line(X2)
& line(X1) )
=> point(intersection_point(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco2) ).
fof(f22,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( ~ apart_point_and_line(intersection_point(X1,X2),X2)
& ~ apart_point_and_line(intersection_point(X1,X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco6) ).
fof(f32,conjecture,
! [X1,X2,X5] :
( ( ~ unequally_directed_lines(X1,X5)
& ~ unequally_directed_lines(X1,reverse_line(X2)) )
=> ~ unequally_directed_lines(X2,reverse_line(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X1,X2,X5] :
( ( ~ unequally_directed_lines(X1,X5)
& ~ unequally_directed_lines(X1,reverse_line(X2)) )
=> ~ unequally_directed_lines(X2,reverse_line(X5)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f41,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f42,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f45,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f46,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f48,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1)
& line(X1)
& line(X0) )
=> point(intersection_point(X0,X1)) ),
inference(rectify,[],[f18]) ).
fof(f52,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
inference(rectify,[],[f22]) ).
fof(f59,plain,
~ ! [X0,X1,X2] :
( ( ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) )
=> ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(rectify,[],[f33]) ).
fof(f66,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f67,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f72,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f73,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f75,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f78,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f79,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(flattening,[],[f78]) ).
fof(f84,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) )
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f85,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) )
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f84]) ).
fof(f96,plain,
? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f97,plain,
? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
( ? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) )
=> ( unequally_directed_lines(sK1,reverse_line(sK2))
& ~ unequally_directed_lines(sK0,sK2)
& ~ unequally_directed_lines(sK0,reverse_line(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( unequally_directed_lines(sK1,reverse_line(sK2))
& ~ unequally_directed_lines(sK0,sK2)
& ~ unequally_directed_lines(sK0,reverse_line(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f97,f98]) ).
fof(f106,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f107,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f113,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f116,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f75]) ).
fof(f117,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f119,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f124,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f135,plain,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f99]) ).
fof(f136,plain,
~ unequally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f137,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf_transformation,[],[f99]) ).
cnf(c_55,plain,
~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f106]) ).
cnf(c_56,plain,
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_62,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_65,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f117]) ).
cnf(c_66,plain,
~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f116]) ).
cnf(c_68,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X0)
| ~ line(X1)
| point(intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_74,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_84,negated_conjecture,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf_transformation,[],[f137]) ).
cnf(c_85,negated_conjecture,
~ unequally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f136]) ).
cnf(c_86,negated_conjecture,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f135]) ).
cnf(c_111,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_74,c_66,c_65,c_62]) ).
cnf(c_127,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_111]) ).
cnf(c_128,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_127]) ).
cnf(c_248,plain,
reverse_line(sK1) = sP0_iProver_def,
definition ).
cnf(c_249,plain,
reverse_line(sK2) = sP1_iProver_def,
definition ).
cnf(c_250,negated_conjecture,
~ unequally_directed_lines(sK0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_86,c_248]) ).
cnf(c_251,negated_conjecture,
~ unequally_directed_lines(sK0,sK2),
inference(demodulation,[status(thm)],[c_85]) ).
cnf(c_252,negated_conjecture,
unequally_directed_lines(sK1,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_84,c_249]) ).
cnf(c_357,plain,
( ~ unequally_directed_lines(X0,sK2)
| ~ unequally_directed_lines(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_249,c_128]) ).
cnf(c_358,plain,
( ~ unequally_directed_lines(X0,sK1)
| ~ unequally_directed_lines(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_248,c_128]) ).
cnf(c_369,plain,
( unequally_directed_lines(sK1,X0)
| unequally_directed_lines(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_252,c_56]) ).
cnf(c_377,plain,
unequally_directed_lines(sP1_iProver_def,sK1),
inference(superposition,[status(thm)],[c_369,c_55]) ).
cnf(c_378,plain,
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(sK1,X1)
| unequally_directed_lines(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_369,c_56]) ).
cnf(c_391,plain,
~ unequally_directed_lines(sK1,sK2),
inference(superposition,[status(thm)],[c_252,c_357]) ).
cnf(c_458,plain,
( unequally_directed_lines(sK1,sK2)
| unequally_directed_lines(sP1_iProver_def,sK0) ),
inference(superposition,[status(thm)],[c_378,c_251]) ).
cnf(c_469,plain,
unequally_directed_lines(sP1_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_458,c_391]) ).
cnf(c_523,plain,
( unequally_directed_lines(sK0,X0)
| unequally_directed_lines(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_469,c_56]) ).
cnf(c_714,plain,
unequally_directed_lines(sP1_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_523,c_250]) ).
cnf(c_738,plain,
~ unequally_directed_lines(sP1_iProver_def,sK1),
inference(superposition,[status(thm)],[c_714,c_358]) ).
cnf(c_739,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_738,c_377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 01:12:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 2.10/1.17 % SZS status Started for theBenchmark.p
% 2.10/1.17 % SZS status Theorem for theBenchmark.p
% 2.10/1.17
% 2.10/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.10/1.17
% 2.10/1.17 ------ iProver source info
% 2.10/1.17
% 2.10/1.17 git: date: 2024-05-02 19:28:25 +0000
% 2.10/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.10/1.17 git: non_committed_changes: false
% 2.10/1.17
% 2.10/1.17 ------ Parsing...
% 2.10/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.10/1.17
% 2.10/1.17 ------ Preprocessing... sf_s rm: 15 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.10/1.17
% 2.10/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.10/1.17
% 2.10/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.10/1.17 ------ Proving...
% 2.10/1.17 ------ Problem Properties
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 clauses 10
% 2.10/1.17 conjectures 3
% 2.10/1.17 EPR 5
% 2.10/1.17 Horn 9
% 2.10/1.17 unary 8
% 2.10/1.17 binary 1
% 2.10/1.17 lits 13
% 2.10/1.17 lits eq 2
% 2.10/1.17 fd_pure 0
% 2.10/1.17 fd_pseudo 0
% 2.10/1.17 fd_cond 0
% 2.10/1.17 fd_pseudo_cond 0
% 2.10/1.17 AC symbols 0
% 2.10/1.17
% 2.10/1.17 ------ Schedule dynamic 5 is on
% 2.10/1.17
% 2.10/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 ------
% 2.10/1.17 Current options:
% 2.10/1.17 ------
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 ------ Proving...
% 2.10/1.17
% 2.10/1.17
% 2.10/1.17 % SZS status Theorem for theBenchmark.p
% 2.10/1.17
% 2.10/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.10/1.17
% 2.10/1.17
%------------------------------------------------------------------------------