TSTP Solution File: GEO177+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 23:09:53 EDT 2023
% Result : Theorem 0.41s 1.11s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 58 ( 16 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 212 ( 73 ~; 99 |; 28 &)
% ( 0 <=>; 12 =>; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn; 61 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( 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] :
( ( distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
=> ( 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(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
~ apart_point_and_line(sK3,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)),
inference(cnf_transformation,[],[f56]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f55]) ).
cnf(c_65,negated_conjecture,
( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| apart_point_and_line(sK1,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_228,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
| distinct_lines(line_connecting(sK2,sK3),X0)
| apart_point_and_line(sK0,X0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_230,plain,
( ~ apart_point_and_line(X0,line_connecting(sK2,sK3))
| ~ distinct_points(sK2,sK3)
| distinct_points(X0,sK3) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_232,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_233,plain,
( ~ apart_point_and_line(X0,line_connecting(sK2,sK3))
| ~ distinct_points(sK2,sK3)
| distinct_points(X0,sK2) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_235,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_236,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_235]) ).
cnf(c_237,plain,
( ~ distinct_lines(X0,X1)
| ~ distinct_points(sK2,sK3)
| apart_point_and_line(sK3,X0)
| apart_point_and_line(sK3,X1)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK2,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_252,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK2,sK3))
| distinct_lines(line_connecting(sK2,sK3),X0)
| apart_point_and_line(sK1,X0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_257,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(sK1,sK1) ),
inference(instantiation,[status(thm)],[c_232]) ).
cnf(c_258,plain,
~ distinct_points(sK1,sK1),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_265,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
| distinct_lines(line_connecting(sK2,sK3),line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_228]) ).
cnf(c_267,plain,
( ~ apart_point_and_line(sK3,line_connecting(sK2,sK3))
| ~ distinct_points(sK2,sK3)
| distinct_points(sK3,sK3) ),
inference(instantiation,[status(thm)],[c_230]) ).
cnf(c_268,plain,
~ distinct_points(sK3,sK3),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_275,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK2,sK3))
| ~ distinct_points(sK2,sK3)
| distinct_points(sK2,sK2) ),
inference(instantiation,[status(thm)],[c_233]) ).
cnf(c_276,plain,
~ distinct_points(sK2,sK2),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_404,plain,
( ~ distinct_lines(line_connecting(sK2,sK3),X0)
| ~ distinct_points(sK2,sK3)
| apart_point_and_line(sK3,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK3,X0)
| apart_point_and_line(sK2,X0) ),
inference(instantiation,[status(thm)],[c_237]) ).
cnf(c_709,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK2,sK3))
| distinct_lines(line_connecting(sK2,sK3),line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_252]) ).
cnf(c_941,plain,
( ~ distinct_lines(line_connecting(sK2,sK3),line_connecting(sK0,sK1))
| ~ distinct_points(sK2,sK3)
| apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK3,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_404]) ).
cnf(c_942,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_941,c_709,c_276,c_275,c_268,c_267,c_265,c_258,c_257,c_236,c_65,c_63,c_64,c_70,c_66,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 29 23:50:08 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.41/1.11 % SZS status Started for theBenchmark.p
% 0.41/1.11 % SZS status Theorem for theBenchmark.p
% 0.41/1.11
% 0.41/1.11 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.41/1.11
% 0.41/1.11 ------ iProver source info
% 0.41/1.11
% 0.41/1.11 git: date: 2023-05-31 18:12:56 +0000
% 0.41/1.11 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.41/1.11 git: non_committed_changes: false
% 0.41/1.11 git: last_make_outside_of_git: false
% 0.41/1.11
% 0.41/1.11 ------ Parsing...
% 0.41/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.41/1.11
% 0.41/1.11 ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.41/1.11
% 0.41/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.41/1.11 ------ Proving...
% 0.41/1.11 ------ Problem Properties
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 clauses 14
% 0.41/1.11 conjectures 5
% 0.41/1.11 EPR 9
% 0.41/1.11 Horn 8
% 0.41/1.11 unary 6
% 0.41/1.11 binary 1
% 0.41/1.11 lits 32
% 0.41/1.11 lits eq 0
% 0.41/1.11 fd_pure 0
% 0.41/1.11 fd_pseudo 0
% 0.41/1.11 fd_cond 0
% 0.41/1.11 fd_pseudo_cond 0
% 0.41/1.11 AC symbols 0
% 0.41/1.11
% 0.41/1.11 ------ Schedule dynamic 5 is on
% 0.41/1.11
% 0.41/1.11 ------ no equalities: superposition off
% 0.41/1.11
% 0.41/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 ------
% 0.41/1.11 Current options:
% 0.41/1.11 ------
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 ------ Proving...
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 % SZS status Theorem for theBenchmark.p
% 0.41/1.11
% 0.41/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.41/1.11
% 0.41/1.12
%------------------------------------------------------------------------------