TSTP Solution File: GEO188+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO188+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Wed Aug 30 23:10:02 EDT 2023
% Result : Theorem 2.43s 1.10s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 61 ( 16 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 210 ( 74 ~; 96 |; 31 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn; 67 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/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/sandbox/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/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,X2] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ apart_point_and_line(X0,line_connecting(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ apart_point_and_line(X0,line_connecting(X2,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] :
( 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(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(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] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f34,plain,
? [X0,X1,X2] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK2)
& 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(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(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(f53,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f55,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
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_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_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,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f55]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f54]) ).
cnf(c_65,negated_conjecture,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f53]) ).
cnf(c_67,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
cnf(c_70,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_226,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
| distinct_lines(line_connecting(sK2,sK1),X0)
| apart_point_and_line(sK0,X0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_230,plain,
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_234,plain,
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_235,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_236,plain,
( ~ distinct_lines(X0,X1)
| ~ distinct_points(sK1,sK2)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK2,X1)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_243,plain,
( ~ apart_point_and_line(X0,line_connecting(sK2,X1))
| ~ distinct_points(sK2,X1)
| distinct_points(X0,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_257,plain,
~ distinct_points(sK2,sK2),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_268,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(sK1,sK1) ),
inference(instantiation,[status(thm)],[c_230]) ).
cnf(c_269,plain,
~ distinct_points(sK1,sK1),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_272,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,sK1))
| ~ distinct_points(X1,sK1)
| distinct_points(X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_283,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
| distinct_lines(line_connecting(sK2,sK1),line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_226]) ).
cnf(c_325,plain,
( ~ distinct_lines(line_connecting(sK2,sK1),X0)
| ~ distinct_points(sK1,sK2)
| apart_point_and_line(sK2,line_connecting(sK2,sK1))
| apart_point_and_line(sK1,line_connecting(sK2,sK1))
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK1,X0) ),
inference(instantiation,[status(thm)],[c_236]) ).
cnf(c_396,plain,
( distinct_points(sK2,X0)
| distinct_points(sK1,X0) ),
inference(superposition,[status(thm)],[c_65,c_52]) ).
cnf(c_432,plain,
( ~ apart_point_and_line(X0,line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1)
| distinct_points(X0,sK1) ),
inference(instantiation,[status(thm)],[c_243]) ).
cnf(c_434,plain,
( ~ apart_point_and_line(X0,line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1)
| distinct_points(X0,sK2) ),
inference(instantiation,[status(thm)],[c_272]) ).
cnf(c_470,plain,
distinct_points(sK2,sK1),
inference(superposition,[status(thm)],[c_396,c_49]) ).
cnf(c_566,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1)
| distinct_points(sK1,sK1) ),
inference(instantiation,[status(thm)],[c_432]) ).
cnf(c_573,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1)
| distinct_points(sK2,sK2) ),
inference(instantiation,[status(thm)],[c_434]) ).
cnf(c_629,plain,
( ~ distinct_lines(line_connecting(sK2,sK1),line_connecting(sK0,sK1))
| ~ distinct_points(sK1,sK2)
| apart_point_and_line(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK2,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_325]) ).
cnf(c_630,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_629,c_573,c_566,c_470,c_283,c_269,c_268,c_257,c_235,c_64,c_63,c_70,c_65,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO188+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 23:26:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.43/1.10 % SZS status Started for theBenchmark.p
% 2.43/1.10 % SZS status Theorem for theBenchmark.p
% 2.43/1.10
% 2.43/1.10 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.43/1.10
% 2.43/1.10 ------ iProver source info
% 2.43/1.10
% 2.43/1.10 git: date: 2023-05-31 18:12:56 +0000
% 2.43/1.10 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.43/1.10 git: non_committed_changes: false
% 2.43/1.10 git: last_make_outside_of_git: false
% 2.43/1.10
% 2.43/1.10 ------ Parsing...
% 2.43/1.10 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.43/1.10
% 2.43/1.10 ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.43/1.10
% 2.43/1.10 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.43/1.10 ------ Proving...
% 2.43/1.10 ------ Problem Properties
% 2.43/1.10
% 2.43/1.10
% 2.43/1.10 clauses 14
% 2.43/1.10 conjectures 5
% 2.43/1.10 EPR 10
% 2.43/1.10 Horn 9
% 2.43/1.10 unary 7
% 2.43/1.10 binary 0
% 2.43/1.10 lits 31
% 2.43/1.10 lits eq 0
% 2.43/1.10 fd_pure 0
% 2.43/1.10 fd_pseudo 0
% 2.43/1.10 fd_cond 0
% 2.43/1.10 fd_pseudo_cond 0
% 2.43/1.10 AC symbols 0
% 2.43/1.10
% 2.43/1.10 ------ Schedule dynamic 5 is on
% 2.43/1.10
% 2.43/1.10 ------ no equalities: superposition off
% 2.43/1.10
% 2.43/1.10 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.43/1.10
% 2.43/1.10
% 2.43/1.10 ------
% 2.43/1.10 Current options:
% 2.43/1.10 ------
% 2.43/1.10
% 2.43/1.10
% 2.43/1.10
% 2.43/1.10
% 2.43/1.10 ------ Proving...
% 2.43/1.10
% 2.43/1.10
% 2.43/1.10 % SZS status Theorem for theBenchmark.p
% 2.43/1.10
% 2.43/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.43/1.11
% 2.43/1.11
%------------------------------------------------------------------------------