TSTP Solution File: GEO206+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO206+1 : TPTP v8.1.2. 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 : Wed Aug 30 23:10:16 EDT 2023
% Result : Theorem 0.45s 1.14s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 91 ( 41 ~; 33 |; 12 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 59 ( 2 sgn; 38 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f15,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f16,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f17,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cup1) ).
fof(f18,conjecture,
! [X0,X1,X2] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f25,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f26,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f39,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f40,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
? [X0,X1,X2] :
( distinct_lines(X1,parallel_through_point(X2,X0))
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f42,plain,
? [X0,X1,X2] :
( distinct_lines(X1,parallel_through_point(X2,X0))
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
( ? [X0,X1,X2] :
( distinct_lines(X1,parallel_through_point(X2,X0))
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ( distinct_lines(sK1,parallel_through_point(sK2,sK0))
& ~ convergent_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( distinct_lines(sK1,parallel_through_point(sK2,sK0))
& ~ convergent_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f42,f43]) ).
fof(f50,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f15]) ).
fof(f60,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f61,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f62,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f63,plain,
~ convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f64,plain,
distinct_lines(sK1,parallel_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f44]) ).
cnf(c_54,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_63,plain,
~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f59]) ).
cnf(c_64,plain,
~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f60]) ).
cnf(c_65,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_66,negated_conjecture,
distinct_lines(sK1,parallel_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f64]) ).
cnf(c_67,negated_conjecture,
~ convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f63]) ).
cnf(c_68,negated_conjecture,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f62]) ).
cnf(c_164,plain,
( ~ distinct_lines(sK1,parallel_through_point(sK2,sK0))
| apart_point_and_line(X0,parallel_through_point(sK2,sK0))
| convergent_lines(sK1,parallel_through_point(sK2,sK0))
| apart_point_and_line(X0,sK1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_171,plain,
( ~ convergent_lines(sK1,parallel_through_point(sK2,sK0))
| convergent_lines(parallel_through_point(sK2,sK0),X0)
| convergent_lines(sK1,X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_176,plain,
( ~ distinct_lines(sK1,parallel_through_point(sK2,sK0))
| convergent_lines(sK1,parallel_through_point(sK2,sK0))
| apart_point_and_line(sK0,parallel_through_point(sK2,sK0))
| apart_point_and_line(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_164]) ).
cnf(c_193,plain,
~ apart_point_and_line(sK0,parallel_through_point(sK2,sK0)),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_220,plain,
( ~ convergent_lines(sK1,parallel_through_point(sK2,sK0))
| convergent_lines(parallel_through_point(sK2,sK0),sK2)
| convergent_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_171]) ).
cnf(c_221,plain,
~ convergent_lines(parallel_through_point(sK2,sK0),sK2),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_222,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_221,c_220,c_193,c_176,c_66,c_67,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO206+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n032.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 : Tue Aug 29 21:04:02 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.45/1.14 % SZS status Started for theBenchmark.p
% 0.45/1.14 % SZS status Theorem for theBenchmark.p
% 0.45/1.14
% 0.45/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.45/1.14
% 0.45/1.14 ------ iProver source info
% 0.45/1.14
% 0.45/1.14 git: date: 2023-05-31 18:12:56 +0000
% 0.45/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.45/1.14 git: non_committed_changes: false
% 0.45/1.14 git: last_make_outside_of_git: false
% 0.45/1.14
% 0.45/1.14 ------ Parsing...
% 0.45/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.45/1.14
% 0.45/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.45/1.14
% 0.45/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.45/1.14 ------ Proving...
% 0.45/1.14 ------ Problem Properties
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 clauses 20
% 0.45/1.14 conjectures 3
% 0.45/1.14 EPR 13
% 0.45/1.14 Horn 12
% 0.45/1.14 unary 8
% 0.45/1.14 binary 4
% 0.45/1.14 lits 44
% 0.45/1.14 lits eq 0
% 0.45/1.14 fd_pure 0
% 0.45/1.14 fd_pseudo 0
% 0.45/1.14 fd_cond 0
% 0.45/1.14 fd_pseudo_cond 0
% 0.45/1.14 AC symbols 0
% 0.45/1.14
% 0.45/1.14 ------ Schedule dynamic 5 is on
% 0.45/1.14
% 0.45/1.14 ------ no equalities: superposition off
% 0.45/1.14
% 0.45/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 ------
% 0.45/1.14 Current options:
% 0.45/1.14 ------
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 ------ Proving...
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 % SZS status Theorem for theBenchmark.p
% 0.45/1.14
% 0.45/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.14
% 0.45/1.14
%------------------------------------------------------------------------------