TSTP Solution File: GEO179+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 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 02:16:43 EDT 2024
% Result : Theorem 2.61s 1.14s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
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/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
inference(negated_conjecture,[],[f13]) ).
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(f22,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f22]) ).
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(f30,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f34,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(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(f40,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f43,plain,
! [X2,X0,X1] :
( distinct_points(X2,X0)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
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(f49,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f51,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f53,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f37]) ).
cnf(c_52,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
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_61,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_63,negated_conjecture,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_64,negated_conjecture,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f52]) ).
cnf(c_65,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
cnf(c_68,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_213,plain,
line_connecting(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_214,plain,
line_connecting(sK2,sK0) = sP1_iProver_def,
definition ).
cnf(c_215,plain,
line_connecting(sK2,sK1) = sP2_iProver_def,
definition ).
cnf(c_216,negated_conjecture,
distinct_points(sK0,sK1),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_217,negated_conjecture,
apart_point_and_line(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_64,c_213]) ).
cnf(c_218,negated_conjecture,
( ~ distinct_lines(sP0_iProver_def,sP1_iProver_def)
| ~ distinct_lines(sP0_iProver_def,sP2_iProver_def) ),
inference(demodulation,[status(thm)],[c_63,c_215,c_214]) ).
cnf(c_463,plain,
( distinct_points(sK2,X0)
| apart_point_and_line(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_217,c_60]) ).
cnf(c_466,plain,
( distinct_points(sK2,sK0)
| apart_point_and_line(sK0,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_463]) ).
cnf(c_483,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK1) ),
inference(superposition,[status(thm)],[c_213,c_55]) ).
cnf(c_492,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| distinct_points(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_483,c_216]) ).
cnf(c_509,plain,
( apart_point_and_line(X0,X1)
| distinct_points(sK2,X0)
| distinct_lines(sP0_iProver_def,X1) ),
inference(superposition,[status(thm)],[c_463,c_61]) ).
cnf(c_534,plain,
distinct_points(sK2,sK1),
inference(superposition,[status(thm)],[c_217,c_492]) ).
cnf(c_538,plain,
( distinct_points(sK1,X0)
| distinct_points(sK2,X0) ),
inference(superposition,[status(thm)],[c_534,c_52]) ).
cnf(c_568,plain,
( distinct_points(X0,X1)
| distinct_points(sK1,X0)
| distinct_points(sK2,X1) ),
inference(superposition,[status(thm)],[c_538,c_52]) ).
cnf(c_629,plain,
( ~ distinct_lines(sP0_iProver_def,sP2_iProver_def)
| distinct_points(sK2,X0)
| apart_point_and_line(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_509,c_218]) ).
cnf(c_724,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK0) ),
inference(superposition,[status(thm)],[c_213,c_56]) ).
cnf(c_725,plain,
( ~ apart_point_and_line(X0,sP2_iProver_def)
| ~ distinct_points(sK2,sK1)
| distinct_points(X0,sK2) ),
inference(superposition,[status(thm)],[c_215,c_56]) ).
cnf(c_726,plain,
( ~ apart_point_and_line(X0,sP1_iProver_def)
| ~ distinct_points(sK2,sK0)
| distinct_points(X0,sK2) ),
inference(superposition,[status(thm)],[c_214,c_56]) ).
cnf(c_730,plain,
( ~ apart_point_and_line(X0,sP2_iProver_def)
| distinct_points(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_725,c_534]) ).
cnf(c_733,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| distinct_points(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_724,c_216]) ).
cnf(c_740,plain,
( ~ apart_point_and_line(sK0,sP0_iProver_def)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_733]) ).
cnf(c_745,plain,
( ~ distinct_points(sK2,X0)
| distinct_points(X0,X1)
| distinct_points(sK2,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_909,plain,
( distinct_points(X0,sK2)
| distinct_points(sK2,X0)
| distinct_lines(sP0_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_509,c_730]) ).
cnf(c_1365,plain,
( distinct_points(X0,sK2)
| distinct_points(sK1,X0) ),
inference(superposition,[status(thm)],[c_568,c_49]) ).
cnf(c_1391,plain,
( ~ distinct_points(sK2,X0)
| distinct_points(X0,sK2)
| distinct_points(sK2,sK2) ),
inference(instantiation,[status(thm)],[c_745]) ).
cnf(c_1392,plain,
~ distinct_points(sK2,sK2),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1401,plain,
distinct_points(X0,sK2),
inference(global_subsumption_just,[status(thm)],[c_1365,c_68,c_466,c_629,c_740,c_726,c_909,c_1391,c_1392]) ).
cnf(c_1403,plain,
$false,
inference(superposition,[status(thm)],[c_1401,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n004.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
% 0.17/0.32 % CPULimit : 300
% 0.17/0.32 % WCLimit : 300
% 0.17/0.32 % DateTime : Fri May 3 01:11:48 EDT 2024
% 0.17/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 2.61/1.14 % SZS status Started for theBenchmark.p
% 2.61/1.14 % SZS status Theorem for theBenchmark.p
% 2.61/1.14
% 2.61/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.61/1.14
% 2.61/1.14 ------ iProver source info
% 2.61/1.14
% 2.61/1.14 git: date: 2024-05-02 19:28:25 +0000
% 2.61/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.61/1.14 git: non_committed_changes: false
% 2.61/1.14
% 2.61/1.14 ------ Parsing...
% 2.61/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.61/1.14
% 2.61/1.14 ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.61/1.14
% 2.61/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.61/1.14
% 2.61/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.61/1.14 ------ Proving...
% 2.61/1.14 ------ Problem Properties
% 2.61/1.14
% 2.61/1.14
% 2.61/1.14 clauses 15
% 2.61/1.14 conjectures 3
% 2.61/1.14 EPR 10
% 2.61/1.14 Horn 10
% 2.61/1.14 unary 7
% 2.61/1.14 binary 1
% 2.61/1.14 lits 33
% 2.61/1.14 lits eq 3
% 2.61/1.14 fd_pure 0
% 2.61/1.14 fd_pseudo 0
% 2.61/1.14 fd_cond 0
% 2.61/1.14 fd_pseudo_cond 0
% 2.61/1.14 AC symbols 0
% 2.61/1.14
% 2.61/1.14 ------ Schedule dynamic 5 is on
% 2.61/1.14
% 2.61/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.61/1.14
% 2.61/1.14
% 2.61/1.14 ------
% 2.61/1.14 Current options:
% 2.61/1.14 ------
% 2.61/1.14
% 2.61/1.14
% 2.61/1.14
% 2.61/1.14
% 2.61/1.14 ------ Proving...
% 2.61/1.14
% 2.61/1.14
% 2.61/1.14 % SZS status Theorem for theBenchmark.p
% 2.61/1.14
% 2.61/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.61/1.14
% 2.61/1.14
%------------------------------------------------------------------------------