TSTP Solution File: GEO213+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 23:10:21 EDT 2023
% Result : Theorem 0.52s 1.19s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 124 ( 44 ~; 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_367,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_368,plain,
( ~ convergent_lines(sK0,sK1)
| ~ unorthogonal_lines(sK0,sK1)
| convergent_lines(sK0,sK2)
| unorthogonal_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_367]) ).
cnf(c_393,plain,
( ~ convergent_lines(X0,sK2)
| distinct_lines(X0,sK2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_394,plain,
( ~ convergent_lines(sK0,sK2)
| distinct_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_393]) ).
cnf(c_474,plain,
~ convergent_lines(sK1,sK1),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_477,plain,
( ~ convergent_lines(sK1,X0)
| convergent_lines(X0,X1)
| convergent_lines(sK1,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_672,plain,
convergent_lines(sK1,sK2),
inference(superposition,[status(thm)],[c_66,c_74]) ).
cnf(c_936,plain,
( ~ convergent_lines(sK1,X0)
| convergent_lines(X0,sK1)
| convergent_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[c_477]) ).
cnf(c_937,plain,
( ~ convergent_lines(sK1,sK0)
| convergent_lines(sK1,sK1)
| convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_936]) ).
cnf(c_1525,plain,
( convergent_lines(sK1,X0)
| convergent_lines(sK2,X0) ),
inference(superposition,[status(thm)],[c_672,c_54]) ).
cnf(c_1664,plain,
( convergent_lines(X0,X1)
| convergent_lines(sK1,X0)
| convergent_lines(sK2,X1) ),
inference(superposition,[status(thm)],[c_1525,c_54]) ).
cnf(c_1779,plain,
( convergent_lines(X0,sK2)
| convergent_lines(sK1,X0) ),
inference(superposition,[status(thm)],[c_1664,c_51]) ).
cnf(c_1819,plain,
( convergent_lines(sK1,sK0)
| convergent_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_1779]) ).
cnf(c_1820,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1819,c_937,c_474,c_394,c_368,c_74,c_75,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n020.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 23:11:43 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
% 0.52/1.19 % SZS status Started for theBenchmark.p
% 0.52/1.19 % SZS status Theorem for theBenchmark.p
% 0.52/1.19
% 0.52/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.52/1.19
% 0.52/1.19 ------ iProver source info
% 0.52/1.19
% 0.52/1.19 git: date: 2023-05-31 18:12:56 +0000
% 0.52/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.52/1.19 git: non_committed_changes: false
% 0.52/1.19 git: last_make_outside_of_git: false
% 0.52/1.19
% 0.52/1.19 ------ Parsing...
% 0.52/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.52/1.19
% 0.52/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.52/1.19
% 0.52/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.52/1.19 ------ Proving...
% 0.52/1.19 ------ Problem Properties
% 0.52/1.19
% 0.52/1.19
% 0.52/1.19 clauses 27
% 0.52/1.19 conjectures 3
% 0.52/1.19 EPR 19
% 0.52/1.19 Horn 15
% 0.52/1.19 unary 10
% 0.52/1.19 binary 2
% 0.52/1.19 lits 68
% 0.52/1.19 lits eq 0
% 0.52/1.19 fd_pure 0
% 0.52/1.19 fd_pseudo 0
% 0.52/1.19 fd_cond 0
% 0.52/1.19 fd_pseudo_cond 0
% 0.52/1.19 AC symbols 0
% 0.52/1.19
% 0.52/1.19 ------ Schedule dynamic 5 is on
% 0.52/1.19
% 0.52/1.19 ------ no equalities: superposition off
% 0.52/1.19
% 0.52/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.52/1.19
% 0.52/1.19
% 0.52/1.19 ------
% 0.52/1.19 Current options:
% 0.52/1.19 ------
% 0.52/1.19
% 0.52/1.19
% 0.52/1.19
% 0.52/1.19
% 0.52/1.19 ------ Proving...
% 0.52/1.19
% 0.52/1.19
% 0.52/1.19 % SZS status Theorem for theBenchmark.p
% 0.52/1.19
% 0.52/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.52/1.19
% 0.52/1.19
%------------------------------------------------------------------------------