TSTP Solution File: GEO187+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO187+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 06:13:35 EDT 2024
% Result : Theorem 1.14s 1.03s
% Output : CNFRefutation 1.14s
% 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(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/sandbox/benchmark/theBenchmark.p',con1) ).
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(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X1,line_connecting(X3,X4))
& ~ apart_point_and_line(X0,line_connecting(X3,X4))
& distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X4,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X1,line_connecting(X3,X4))
& ~ apart_point_and_line(X0,line_connecting(X3,X4))
& distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X4,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(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,X3] :
( ( ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) ) ),
inference(rectify,[],[f14]) ).
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(ennf_transformation,[],[f7]) ).
fof(f24,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,[],[f23]) ).
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(ennf_transformation,[],[f15]) ).
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(flattening,[],[f27]) ).
fof(f31,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(f32,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f34,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) )
& ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) )
& ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) )
& ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1)) )
& ~ apart_point_and_line(sK1,line_connecting(sK2,sK3))
& ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
& distinct_points(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1)) )
& ~ apart_point_and_line(sK1,line_connecting(sK2,sK3))
& ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
& distinct_points(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f35,f36]) ).
fof(f38,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f44,plain,
! [X2,X0,X1] :
( distinct_points(X2,X0)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,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,[],[f28]) ).
fof(f50,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f53,plain,
distinct_points(sK2,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK3)),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK3)),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f38]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
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,[],[f48]) ).
cnf(c_61,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_63,negated_conjecture,
( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(sK1,line_connecting(sK2,sK3)),
inference(cnf_transformation,[],[f55]) ).
cnf(c_65,negated_conjecture,
~ apart_point_and_line(sK0,line_connecting(sK2,sK3)),
inference(cnf_transformation,[],[f54]) ).
cnf(c_66,negated_conjecture,
distinct_points(sK2,sK3),
inference(cnf_transformation,[],[f53]) ).
cnf(c_67,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f52]) ).
cnf(c_70,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_223,plain,
line_connecting(sK2,sK3) = sP0_iProver_def,
definition ).
cnf(c_224,plain,
line_connecting(sK0,sK1) = sP1_iProver_def,
definition ).
cnf(c_225,negated_conjecture,
distinct_points(sK0,sK1),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_226,negated_conjecture,
distinct_points(sK2,sK3),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_227,negated_conjecture,
~ apart_point_and_line(sK0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_65,c_223]) ).
cnf(c_228,negated_conjecture,
~ apart_point_and_line(sK1,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_229,negated_conjecture,
( apart_point_and_line(sK3,sP1_iProver_def)
| apart_point_and_line(sK2,sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_63,c_224]) ).
cnf(c_476,plain,
( distinct_lines(sP1_iProver_def,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK3,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_229,c_61]) ).
cnf(c_738,plain,
( ~ apart_point_and_line(X0,sP1_iProver_def)
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK1) ),
inference(superposition,[status(thm)],[c_224,c_55]) ).
cnf(c_739,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| ~ distinct_points(sK2,sK3)
| distinct_points(X0,sK3) ),
inference(superposition,[status(thm)],[c_223,c_55]) ).
cnf(c_740,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| distinct_points(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_739,c_226]) ).
cnf(c_743,plain,
( ~ apart_point_and_line(X0,sP1_iProver_def)
| distinct_points(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_738,c_225]) ).
cnf(c_756,plain,
( ~ apart_point_and_line(X0,sP1_iProver_def)
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK0) ),
inference(superposition,[status(thm)],[c_224,c_56]) ).
cnf(c_757,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| ~ distinct_points(sK2,sK3)
| distinct_points(X0,sK2) ),
inference(superposition,[status(thm)],[c_223,c_56]) ).
cnf(c_758,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| distinct_points(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_757,c_226]) ).
cnf(c_761,plain,
( ~ apart_point_and_line(X0,sP1_iProver_def)
| distinct_points(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_756,c_225]) ).
cnf(c_764,plain,
( ~ apart_point_and_line(sK0,sP1_iProver_def)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_761]) ).
cnf(c_783,plain,
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1) ),
inference(superposition,[status(thm)],[c_225,c_59]) ).
cnf(c_1062,plain,
( apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK3,sP1_iProver_def)
| apart_point_and_line(sK0,sP1_iProver_def)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_476,c_783]) ).
cnf(c_1153,plain,
( apart_point_and_line(sK3,sP1_iProver_def)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_1062,c_70,c_764,c_1062]) ).
cnf(c_1154,plain,
( apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK3,sP1_iProver_def)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(renaming,[status(thm)],[c_1153]) ).
cnf(c_1172,plain,
( distinct_points(sK2,sK2)
| apart_point_and_line(sK3,sP1_iProver_def)
| apart_point_and_line(sK0,sP0_iProver_def)
| apart_point_and_line(sK1,sP0_iProver_def)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_1154,c_758]) ).
cnf(c_1174,plain,
( apart_point_and_line(sK3,sP1_iProver_def)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1172,c_228,c_227,c_49]) ).
cnf(c_1186,plain,
( distinct_points(sK1,sK1)
| apart_point_and_line(sK3,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_1174,c_743]) ).
cnf(c_1187,plain,
apart_point_and_line(sK3,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_1186,c_49]) ).
cnf(c_1354,plain,
( distinct_lines(sP1_iProver_def,X0)
| apart_point_and_line(sK3,X0) ),
inference(superposition,[status(thm)],[c_1187,c_61]) ).
cnf(c_1904,plain,
( apart_point_and_line(sK3,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,sP1_iProver_def)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_1354,c_783]) ).
cnf(c_2187,plain,
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK3,X0)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_1904,c_70,c_764,c_1904]) ).
cnf(c_2188,plain,
( apart_point_and_line(sK3,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,sP1_iProver_def) ),
inference(renaming,[status(thm)],[c_2187]) ).
cnf(c_2201,plain,
( apart_point_and_line(sK3,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| distinct_points(sK1,sK1) ),
inference(superposition,[status(thm)],[c_2188,c_743]) ).
cnf(c_2218,plain,
( apart_point_and_line(sK3,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2201,c_49]) ).
cnf(c_2236,plain,
( apart_point_and_line(sK3,sP0_iProver_def)
| apart_point_and_line(sK0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_2218,c_228]) ).
cnf(c_2241,plain,
apart_point_and_line(sK3,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_2236,c_227]) ).
cnf(c_2274,plain,
distinct_points(sK3,sK3),
inference(superposition,[status(thm)],[c_2241,c_740]) ).
cnf(c_2275,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2274,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GEO187+2 : TPTP v8.2.0. Released v3.3.0.
% 0.08/0.10 % Command : run_iprover %s %d THM
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Jun 21 10:24:39 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 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
% 1.14/1.03 % SZS status Started for theBenchmark.p
% 1.14/1.03 % SZS status Theorem for theBenchmark.p
% 1.14/1.03
% 1.14/1.03 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.14/1.03
% 1.14/1.03 ------ iProver source info
% 1.14/1.03
% 1.14/1.03 git: date: 2024-06-12 09:56:46 +0000
% 1.14/1.03 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.14/1.03 git: non_committed_changes: false
% 1.14/1.03
% 1.14/1.03 ------ Parsing...
% 1.14/1.03 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.14/1.03
% 1.14/1.03 ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.14/1.03
% 1.14/1.03 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.14/1.03
% 1.14/1.03 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.14/1.03 ------ Proving...
% 1.14/1.03 ------ Problem Properties
% 1.14/1.03
% 1.14/1.03
% 1.14/1.03 clauses 16
% 1.14/1.03 conjectures 5
% 1.14/1.03 EPR 12
% 1.14/1.03 Horn 10
% 1.14/1.03 unary 8
% 1.14/1.03 binary 1
% 1.14/1.03 lits 34
% 1.14/1.03 lits eq 2
% 1.14/1.03 fd_pure 0
% 1.14/1.03 fd_pseudo 0
% 1.14/1.03 fd_cond 0
% 1.14/1.03 fd_pseudo_cond 0
% 1.14/1.03 AC symbols 0
% 1.14/1.03
% 1.14/1.03 ------ Schedule dynamic 5 is on
% 1.14/1.03
% 1.14/1.03 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.14/1.03
% 1.14/1.03
% 1.14/1.03 ------
% 1.14/1.03 Current options:
% 1.14/1.03 ------
% 1.14/1.03
% 1.14/1.03
% 1.14/1.03
% 1.14/1.03
% 1.14/1.03 ------ Proving...
% 1.14/1.03
% 1.14/1.03
% 1.14/1.03 % SZS status Theorem for theBenchmark.p
% 1.14/1.03
% 1.14/1.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.14/1.03
% 1.14/1.03
%------------------------------------------------------------------------------