TSTP Solution File: GEO175+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO175+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:16:41 EDT 2024
% Result : Theorem 0.43s 1.14s
% Output : CNFRefutation 0.43s
% 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(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
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(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
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/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
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] :
( ( distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f17,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f21,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f22,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f25,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f25]) ).
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(f33,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f34,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(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(f40,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f43,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f47,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
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(f51,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f37]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f38]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f40]) ).
cnf(c_52,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_54,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_57,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_58,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f46]) ).
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_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_63,negated_conjecture,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f56]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f55]) ).
cnf(c_65,negated_conjecture,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f54]) ).
cnf(c_66,negated_conjecture,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f53]) ).
cnf(c_157,plain,
intersection_point(sK2,sK3) = sP0_iProver_def,
definition ).
cnf(c_159,negated_conjecture,
convergent_lines(sK2,sK3),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_160,negated_conjecture,
distinct_points(sK0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_65,c_157]) ).
cnf(c_161,negated_conjecture,
~ apart_point_and_line(sK0,sK2),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_162,negated_conjecture,
~ apart_point_and_line(sK0,sK3),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_437,plain,
( distinct_points(sK0,X0)
| distinct_points(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_160,c_52]) ).
cnf(c_456,plain,
( convergent_lines(sK3,X0)
| convergent_lines(sK2,X0) ),
inference(superposition,[status(thm)],[c_159,c_54]) ).
cnf(c_477,plain,
distinct_points(sP0_iProver_def,sK0),
inference(superposition,[status(thm)],[c_437,c_49]) ).
cnf(c_487,plain,
convergent_lines(sK3,sK2),
inference(superposition,[status(thm)],[c_456,c_51]) ).
cnf(c_497,plain,
distinct_lines(sK3,sK2),
inference(superposition,[status(thm)],[c_487,c_62]) ).
cnf(c_1101,plain,
( ~ apart_point_and_line(X0,sK3)
| ~ convergent_lines(sK2,sK3)
| distinct_points(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_157,c_57]) ).
cnf(c_1106,plain,
( ~ apart_point_and_line(X0,sK3)
| distinct_points(X0,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1101,c_159]) ).
cnf(c_1134,plain,
( ~ apart_point_and_line(X0,sK2)
| ~ convergent_lines(sK2,sK3)
| distinct_points(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_157,c_58]) ).
cnf(c_1139,plain,
( ~ apart_point_and_line(X0,sK2)
| distinct_points(X0,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1134,c_159]) ).
cnf(c_1192,plain,
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sP0_iProver_def,X0)
| apart_point_and_line(sP0_iProver_def,X1) ),
inference(superposition,[status(thm)],[c_477,c_59]) ).
cnf(c_2030,plain,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2)
| apart_point_and_line(sP0_iProver_def,sK3)
| apart_point_and_line(sP0_iProver_def,sK2) ),
inference(superposition,[status(thm)],[c_497,c_1192]) ).
cnf(c_2036,plain,
( apart_point_and_line(sP0_iProver_def,sK3)
| apart_point_and_line(sP0_iProver_def,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2030,c_161,c_162]) ).
cnf(c_2243,plain,
( distinct_points(sP0_iProver_def,sP0_iProver_def)
| apart_point_and_line(sP0_iProver_def,sK3) ),
inference(superposition,[status(thm)],[c_2036,c_1139]) ).
cnf(c_2244,plain,
apart_point_and_line(sP0_iProver_def,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_2243,c_49]) ).
cnf(c_2391,plain,
distinct_points(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_2244,c_1106]) ).
cnf(c_2392,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2391,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO175+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n007.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
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:18:20 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 0.43/1.14 % SZS status Started for theBenchmark.p
% 0.43/1.14 % SZS status Theorem for theBenchmark.p
% 0.43/1.14
% 0.43/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.43/1.14
% 0.43/1.14 ------ iProver source info
% 0.43/1.14
% 0.43/1.14 git: date: 2024-05-02 19:28:25 +0000
% 0.43/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.43/1.14 git: non_committed_changes: false
% 0.43/1.14
% 0.43/1.14 ------ Parsing...
% 0.43/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.43/1.14
% 0.43/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.43/1.14
% 0.43/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.43/1.14
% 0.43/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.43/1.14 ------ Proving...
% 0.43/1.14 ------ Problem Properties
% 0.43/1.14
% 0.43/1.14
% 0.43/1.14 clauses 20
% 0.43/1.14 conjectures 5
% 0.43/1.14 EPR 15
% 0.43/1.14 Horn 14
% 0.43/1.14 unary 9
% 0.43/1.14 binary 1
% 0.43/1.14 lits 44
% 0.43/1.14 lits eq 1
% 0.43/1.14 fd_pure 0
% 0.43/1.14 fd_pseudo 0
% 0.43/1.14 fd_cond 0
% 0.43/1.14 fd_pseudo_cond 0
% 0.43/1.14 AC symbols 0
% 0.43/1.14
% 0.43/1.14 ------ Schedule dynamic 5 is on
% 0.43/1.14
% 0.43/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.43/1.14
% 0.43/1.14
% 0.43/1.14 ------
% 0.43/1.14 Current options:
% 0.43/1.14 ------
% 0.43/1.14
% 0.43/1.14
% 0.43/1.14
% 0.43/1.14
% 0.43/1.14 ------ Proving...
% 0.43/1.14
% 0.43/1.14
% 0.43/1.14 % SZS status Theorem for theBenchmark.p
% 0.43/1.14
% 0.43/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.14
% 0.43/1.14
%------------------------------------------------------------------------------