TSTP Solution File: GEO193+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO193+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 02:16:50 EDT 2024
% Result : Theorem 3.45s 1.22s
% Output : CNFRefutation 3.45s
% 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(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X2,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X2,X1),X0) ) ),
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(f18,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f24,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(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(flattening,[],[f24]) ).
fof(f26,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(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(flattening,[],[f26]) ).
fof(f32,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(intersection_point(X2,X1),X0)
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f34,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(intersection_point(X2,X1),X0)
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(intersection_point(X2,X1),X0)
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(sK2,sK1),sK0)
& apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK1),sK0)
& apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(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(f38,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,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,[],[f27]) ).
fof(f50,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f55,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f36]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f37]) ).
cnf(c_50,plain,
~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f38]) ).
cnf(c_53,plain,
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_57,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_58,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f45]) ).
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,[],[f47]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_63,negated_conjecture,
~ apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f55]) ).
cnf(c_64,negated_conjecture,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f54]) ).
cnf(c_66,negated_conjecture,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f52]) ).
cnf(c_67,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
cnf(c_157,plain,
intersection_point(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_158,plain,
intersection_point(sK2,sK1) = sP1_iProver_def,
definition ).
cnf(c_159,negated_conjecture,
convergent_lines(sK0,sK1),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_160,negated_conjecture,
convergent_lines(sK2,sK1),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_162,negated_conjecture,
apart_point_and_line(sP0_iProver_def,sK2),
inference(demodulation,[status(thm)],[c_64,c_157]) ).
cnf(c_163,negated_conjecture,
~ apart_point_and_line(sP1_iProver_def,sK0),
inference(demodulation,[status(thm)],[c_63,c_158]) ).
cnf(c_432,plain,
distinct_lines(sK0,sK1),
inference(superposition,[status(thm)],[c_159,c_62]) ).
cnf(c_453,plain,
( distinct_lines(sK1,X0)
| distinct_lines(sK0,X0) ),
inference(superposition,[status(thm)],[c_432,c_53]) ).
cnf(c_479,plain,
distinct_lines(sK1,sK0),
inference(superposition,[status(thm)],[c_453,c_50]) ).
cnf(c_810,plain,
( ~ apart_point_and_line(X0,sK1)
| ~ convergent_lines(sK2,sK1)
| distinct_points(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_158,c_57]) ).
cnf(c_811,plain,
( ~ apart_point_and_line(X0,sK1)
| ~ convergent_lines(sK0,sK1)
| distinct_points(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_157,c_57]) ).
cnf(c_816,plain,
( ~ apart_point_and_line(X0,sK1)
| distinct_points(X0,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_811,c_159]) ).
cnf(c_819,plain,
( ~ apart_point_and_line(X0,sK1)
| distinct_points(X0,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_810,c_160]) ).
cnf(c_839,plain,
( ~ apart_point_and_line(X0,sK2)
| ~ convergent_lines(sK2,sK1)
| distinct_points(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_158,c_58]) ).
cnf(c_840,plain,
( ~ apart_point_and_line(X0,sK0)
| ~ convergent_lines(sK0,sK1)
| distinct_points(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_157,c_58]) ).
cnf(c_845,plain,
( ~ apart_point_and_line(X0,sK0)
| distinct_points(X0,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_840,c_159]) ).
cnf(c_848,plain,
( ~ apart_point_and_line(X0,sK2)
| distinct_points(X0,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_839,c_160]) ).
cnf(c_970,plain,
distinct_points(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_162,c_848]) ).
cnf(c_980,plain,
( ~ distinct_lines(X0,X1)
| 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(superposition,[status(thm)],[c_970,c_59]) ).
cnf(c_1469,plain,
( apart_point_and_line(sP0_iProver_def,sK1)
| apart_point_and_line(sP0_iProver_def,sK0)
| apart_point_and_line(sP1_iProver_def,sK1)
| apart_point_and_line(sP1_iProver_def,sK0) ),
inference(superposition,[status(thm)],[c_479,c_980]) ).
cnf(c_1481,plain,
( apart_point_and_line(sP0_iProver_def,sK1)
| apart_point_and_line(sP0_iProver_def,sK0)
| apart_point_and_line(sP1_iProver_def,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1469,c_163]) ).
cnf(c_1613,plain,
( distinct_points(sP1_iProver_def,sP1_iProver_def)
| apart_point_and_line(sP0_iProver_def,sK1)
| apart_point_and_line(sP0_iProver_def,sK0) ),
inference(superposition,[status(thm)],[c_1481,c_819]) ).
cnf(c_1618,plain,
( apart_point_and_line(sP0_iProver_def,sK1)
| apart_point_and_line(sP0_iProver_def,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1613,c_49]) ).
cnf(c_1953,plain,
( distinct_points(sP0_iProver_def,sP0_iProver_def)
| apart_point_and_line(sP0_iProver_def,sK1) ),
inference(superposition,[status(thm)],[c_1618,c_845]) ).
cnf(c_1954,plain,
apart_point_and_line(sP0_iProver_def,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_1953,c_49]) ).
cnf(c_1966,plain,
distinct_points(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_1954,c_816]) ).
cnf(c_1967,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1966,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO193+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 01:08:11 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.49 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
% 3.45/1.22 % SZS status Started for theBenchmark.p
% 3.45/1.22 % SZS status Theorem for theBenchmark.p
% 3.45/1.22
% 3.45/1.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.45/1.22
% 3.45/1.22 ------ iProver source info
% 3.45/1.22
% 3.45/1.22 git: date: 2024-05-02 19:28:25 +0000
% 3.45/1.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.45/1.22 git: non_committed_changes: false
% 3.45/1.22
% 3.45/1.22 ------ Parsing...
% 3.45/1.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.45/1.22
% 3.45/1.22 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.45/1.22
% 3.45/1.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.45/1.22
% 3.45/1.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.45/1.22 ------ Proving...
% 3.45/1.22 ------ Problem Properties
% 3.45/1.22
% 3.45/1.22
% 3.45/1.22 clauses 21
% 3.45/1.22 conjectures 5
% 3.45/1.22 EPR 15
% 3.45/1.22 Horn 15
% 3.45/1.22 unary 10
% 3.45/1.22 binary 1
% 3.45/1.22 lits 45
% 3.45/1.22 lits eq 2
% 3.45/1.22 fd_pure 0
% 3.45/1.22 fd_pseudo 0
% 3.45/1.22 fd_cond 0
% 3.45/1.22 fd_pseudo_cond 0
% 3.45/1.22 AC symbols 0
% 3.45/1.22
% 3.45/1.22 ------ Schedule dynamic 5 is on
% 3.45/1.22
% 3.45/1.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.45/1.22
% 3.45/1.22
% 3.45/1.22 ------
% 3.45/1.22 Current options:
% 3.45/1.22 ------
% 3.45/1.22
% 3.45/1.22
% 3.45/1.22
% 3.45/1.22
% 3.45/1.22 ------ Proving...
% 3.45/1.22
% 3.45/1.22
% 3.45/1.22 % SZS status Theorem for theBenchmark.p
% 3.45/1.22
% 3.45/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.45/1.22
% 3.45/1.23
%------------------------------------------------------------------------------