TSTP Solution File: GEO217+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 23:10:24 EDT 2023
% Result : Theorem 0.49s 1.19s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 16 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 109 ( 42 ~; 45 |; 14 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 91 ( 0 sgn; 51 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f36,conjecture,
! [X5,X6,X7] :
( ( parallel_lines(X5,X7)
& parallel_lines(X5,X6) )
=> parallel_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X5,X6,X7] :
( ( parallel_lines(X5,X7)
& parallel_lines(X5,X6) )
=> parallel_lines(X6,X7) ),
inference(negated_conjecture,[],[f36]) ).
fof(f51,plain,
~ ! [X0,X1,X2] :
( ( parallel_lines(X0,X2)
& parallel_lines(X0,X1) )
=> parallel_lines(X1,X2) ),
inference(rectify,[],[f37]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f55,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f68,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f69,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f90,plain,
? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& parallel_lines(X0,X2)
& parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f91,plain,
? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& parallel_lines(X0,X2)
& parallel_lines(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ( parallel_lines(X0,X1)
| convergent_lines(X0,X1) )
& ( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f93,plain,
( ? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& parallel_lines(X0,X2)
& parallel_lines(X0,X1) )
=> ( ~ parallel_lines(sK1,sK2)
& parallel_lines(sK0,sK2)
& parallel_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ~ parallel_lines(sK1,sK2)
& parallel_lines(sK0,sK2)
& parallel_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f91,f93]) ).
fof(f96,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f108,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f109,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f131,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f132,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f133,plain,
parallel_lines(sK0,sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f134,plain,
parallel_lines(sK0,sK2),
inference(cnf_transformation,[],[f94]) ).
fof(f135,plain,
~ parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f94]) ).
cnf(c_50,plain,
~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f96]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f97]) ).
cnf(c_53,plain,
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_63,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_85,plain,
( convergent_lines(X0,X1)
| parallel_lines(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_86,plain,
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_87,negated_conjecture,
~ parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f135]) ).
cnf(c_88,negated_conjecture,
parallel_lines(sK0,sK2),
inference(cnf_transformation,[],[f134]) ).
cnf(c_89,negated_conjecture,
parallel_lines(sK0,sK1),
inference(cnf_transformation,[],[f133]) ).
cnf(c_109,plain,
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_110,plain,
( convergent_lines(X0,X1)
| parallel_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_109]) ).
cnf(c_113,plain,
( ~ distinct_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_63,c_86]) ).
cnf(c_191,plain,
( distinct_lines(X0,X1)
| convergent_lines(X2,X1)
| parallel_lines(X2,X0) ),
inference(bin_hyper_res,[status(thm)],[c_62,c_110]) ).
cnf(c_699,plain,
~ distinct_lines(sK0,sK2),
inference(resolution,[status(thm)],[c_113,c_88]) ).
cnf(c_711,plain,
~ distinct_lines(sK0,sK1),
inference(resolution,[status(thm)],[c_113,c_89]) ).
cnf(c_1791,plain,
~ convergent_lines(sK1,sK1),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1792,plain,
( ~ convergent_lines(sK1,X0)
| ~ parallel_lines(sK1,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1793,plain,
( ~ convergent_lines(sK1,sK0)
| ~ parallel_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_1792]) ).
cnf(c_1799,plain,
( distinct_lines(X0,X1)
| convergent_lines(sK1,X1)
| parallel_lines(sK1,X0) ),
inference(instantiation,[status(thm)],[c_191]) ).
cnf(c_2031,plain,
( distinct_lines(X0,sK1)
| parallel_lines(sK1,X0)
| convergent_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[c_1799]) ).
cnf(c_2032,plain,
( distinct_lines(sK0,sK1)
| convergent_lines(sK1,sK1)
| parallel_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2031]) ).
cnf(c_2110,plain,
( distinct_lines(sK2,X0)
| convergent_lines(sK1,X0) ),
inference(superposition,[status(thm)],[c_191,c_87]) ).
cnf(c_2279,plain,
( distinct_lines(X0,X1)
| distinct_lines(sK2,X1)
| convergent_lines(sK1,X0) ),
inference(superposition,[status(thm)],[c_2110,c_53]) ).
cnf(c_2421,plain,
( distinct_lines(X0,sK2)
| convergent_lines(sK1,X0) ),
inference(superposition,[status(thm)],[c_2279,c_50]) ).
cnf(c_2445,plain,
( distinct_lines(sK0,sK2)
| convergent_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2421]) ).
cnf(c_2446,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2445,c_2032,c_1793,c_1791,c_711,c_699]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 22:37:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.49/1.19 % SZS status Started for theBenchmark.p
% 0.49/1.19 % SZS status Theorem for theBenchmark.p
% 0.49/1.19
% 0.49/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.19
% 0.49/1.19 ------ iProver source info
% 0.49/1.19
% 0.49/1.19 git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.19 git: non_committed_changes: false
% 0.49/1.19 git: last_make_outside_of_git: false
% 0.49/1.19
% 0.49/1.19 ------ Parsing...
% 0.49/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.19
% 0.49/1.19 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 11 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.49/1.19
% 0.49/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.19 ------ Proving...
% 0.49/1.19 ------ Problem Properties
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19 clauses 22
% 0.49/1.19 conjectures 3
% 0.49/1.19 EPR 20
% 0.49/1.19 Horn 10
% 0.49/1.19 unary 7
% 0.49/1.19 binary 4
% 0.49/1.19 lits 52
% 0.49/1.19 lits eq 0
% 0.49/1.19 fd_pure 0
% 0.49/1.19 fd_pseudo 0
% 0.49/1.19 fd_cond 0
% 0.49/1.19 fd_pseudo_cond 0
% 0.49/1.19 AC symbols 0
% 0.49/1.19
% 0.49/1.19 ------ Schedule dynamic 5 is on
% 0.49/1.19
% 0.49/1.19 ------ no equalities: superposition off
% 0.49/1.19
% 0.49/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19 ------
% 0.49/1.19 Current options:
% 0.49/1.19 ------
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19 ------ Proving...
% 0.49/1.19
% 0.49/1.19
% 0.49/1.19 % SZS status Theorem for theBenchmark.p
% 0.49/1.19
% 0.49/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.19
% 2.42/1.19
%------------------------------------------------------------------------------