TSTP Solution File: GEO213+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO213+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 02:17:00 EDT 2024
% Result : Theorem 3.22s 1.23s
% Output : CNFRefutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 125 ( 45 ~; 52 |; 20 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 79 ( 0 sgn 50 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
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',apart6) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f16,axiom,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',occu1) ).
fof(f17,axiom,
! [X5,X6,X7] :
( ( unorthogonal_lines(X5,X6)
& convergent_lines(X5,X6) )
=> ( ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) )
| ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oac1) ).
fof(f21,conjecture,
! [X5,X6,X7] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f22,negated_conjecture,
~ ! [X5,X6,X7] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f24,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
=> ( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f29,plain,
~ ! [X0,X1,X2] :
( unorthogonal_lines(X0,X1)
=> ( unorthogonal_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f34,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f46,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ distinct_lines(X0,X2)
& unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ distinct_lines(X0,X2)
& unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ distinct_lines(X0,X2)
& unorthogonal_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK1,sK2)
& ~ distinct_lines(sK0,sK2)
& unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ~ unorthogonal_lines(sK1,sK2)
& ~ distinct_lines(sK0,sK2)
& unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f55]) ).
fof(f59,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f62,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f70,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f74,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f77,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f82,plain,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f83,plain,
~ distinct_lines(sK0,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f84,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f56]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f59]) ).
cnf(c_54,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_66,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_68,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| convergent_lines(X0,X2)
| unorthogonal_lines(X1,X2) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_74,negated_conjecture,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f84]) ).
cnf(c_75,negated_conjecture,
~ distinct_lines(sK0,sK2),
inference(cnf_transformation,[],[f83]) ).
cnf(c_76,negated_conjecture,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f82]) ).
cnf(c_361,negated_conjecture,
~ unorthogonal_lines(sK1,sK2),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_370,plain,
( ~ convergent_lines(X0,sK1)
| ~ unorthogonal_lines(X0,sK1)
| convergent_lines(X0,sK2)
| unorthogonal_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_371,plain,
( ~ convergent_lines(sK0,sK1)
| ~ unorthogonal_lines(sK0,sK1)
| convergent_lines(sK0,sK2)
| unorthogonal_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_370]) ).
cnf(c_396,plain,
( ~ convergent_lines(X0,sK2)
| distinct_lines(X0,sK2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_397,plain,
( ~ convergent_lines(sK0,sK2)
| distinct_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_396]) ).
cnf(c_477,plain,
~ convergent_lines(sK1,sK1),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_480,plain,
( ~ convergent_lines(sK1,X0)
| convergent_lines(X0,X1)
| convergent_lines(sK1,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_675,plain,
convergent_lines(sK1,sK2),
inference(superposition,[status(thm)],[c_66,c_361]) ).
cnf(c_939,plain,
( ~ convergent_lines(sK1,X0)
| convergent_lines(X0,sK1)
| convergent_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[c_480]) ).
cnf(c_940,plain,
( ~ convergent_lines(sK1,sK0)
| convergent_lines(sK1,sK1)
| convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_939]) ).
cnf(c_1528,plain,
( convergent_lines(sK1,X0)
| convergent_lines(sK2,X0) ),
inference(superposition,[status(thm)],[c_675,c_54]) ).
cnf(c_1667,plain,
( convergent_lines(X0,X1)
| convergent_lines(sK1,X0)
| convergent_lines(sK2,X1) ),
inference(superposition,[status(thm)],[c_1528,c_54]) ).
cnf(c_1782,plain,
( convergent_lines(X0,sK2)
| convergent_lines(sK1,X0) ),
inference(superposition,[status(thm)],[c_1667,c_51]) ).
cnf(c_1822,plain,
( convergent_lines(sK1,sK0)
| convergent_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_1782]) ).
cnf(c_1823,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1822,c_940,c_477,c_397,c_371,c_74,c_75,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % 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
% 0.21/0.35 % CPULimit : 300
% 0.21/0.35 % WCLimit : 300
% 0.21/0.35 % DateTime : Fri May 3 01:22:26 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 3.22/1.23 % SZS status Started for theBenchmark.p
% 3.22/1.23 % SZS status Theorem for theBenchmark.p
% 3.22/1.23
% 3.22/1.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.22/1.23
% 3.22/1.23 ------ iProver source info
% 3.22/1.23
% 3.22/1.23 git: date: 2024-05-02 19:28:25 +0000
% 3.22/1.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.22/1.23 git: non_committed_changes: false
% 3.22/1.23
% 3.22/1.23 ------ Parsing...
% 3.22/1.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.22/1.23
% 3.22/1.23 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.22/1.23
% 3.22/1.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.22/1.23 ------ Proving...
% 3.22/1.23 ------ Problem Properties
% 3.22/1.23
% 3.22/1.23
% 3.22/1.23 clauses 27
% 3.22/1.23 conjectures 3
% 3.22/1.23 EPR 19
% 3.22/1.23 Horn 15
% 3.22/1.23 unary 10
% 3.22/1.23 binary 2
% 3.22/1.23 lits 68
% 3.22/1.23 lits eq 0
% 3.22/1.23 fd_pure 0
% 3.22/1.23 fd_pseudo 0
% 3.22/1.23 fd_cond 0
% 3.22/1.23 fd_pseudo_cond 0
% 3.22/1.23 AC symbols 0
% 3.22/1.23
% 3.22/1.23 ------ Schedule dynamic 5 is on
% 3.22/1.23
% 3.22/1.23 ------ no equalities: superposition off
% 3.22/1.23
% 3.22/1.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.22/1.23
% 3.22/1.23
% 3.22/1.23 ------
% 3.22/1.23 Current options:
% 3.22/1.23 ------
% 3.22/1.23
% 3.22/1.23
% 3.22/1.23
% 3.22/1.23
% 3.22/1.23 ------ Proving...
% 3.22/1.23
% 3.22/1.23
% 3.22/1.23 % SZS status Theorem for theBenchmark.p
% 3.22/1.23
% 3.22/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.22/1.23
% 3.22/1.23
%------------------------------------------------------------------------------