TSTP Solution File: GEO183+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO183+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 23:09:58 EDT 2023
% Result : Theorem 2.02s 1.24s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 5 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 107 ( 44 ~; 32 |; 24 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn; 36 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f13,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(f15,conjecture,
! [X0,X1,X3,X4] :
( ( ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f18,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f25,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f26,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f33,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f37,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f38,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) )
& ~ distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) )
& ~ distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f38,f39]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
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,[],[f53]) ).
cnf(c_63,negated_conjecture,
( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_64,negated_conjecture,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f57]) ).
cnf(c_66,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f55]) ).
cnf(c_150,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_151,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_160,plain,
( ~ apart_point_and_line(sK1,sK2)
| distinct_lines(sK2,X0)
| apart_point_and_line(sK1,X0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_183,plain,
( ~ apart_point_and_line(sK0,sK2)
| distinct_lines(sK2,X0)
| apart_point_and_line(sK0,X0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_193,plain,
( ~ apart_point_and_line(sK1,sK2)
| distinct_lines(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_196,plain,
( ~ apart_point_and_line(sK0,sK2)
| distinct_lines(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_197,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_196,c_193,c_151,c_150,c_63,c_64,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : GEO183+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.16 % Command : run_iprover %s %d THM
% 0.15/0.38 % Computer : n014.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Aug 29 22:35:45 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.02/1.24 % SZS status Started for theBenchmark.p
% 2.02/1.24 % SZS status Theorem for theBenchmark.p
% 2.02/1.24
% 2.02/1.24 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.02/1.24
% 2.02/1.24 ------ iProver source info
% 2.02/1.24
% 2.02/1.24 git: date: 2023-05-31 18:12:56 +0000
% 2.02/1.24 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.02/1.24 git: non_committed_changes: false
% 2.02/1.24 git: last_make_outside_of_git: false
% 2.02/1.24
% 2.02/1.24 ------ Parsing...
% 2.02/1.24 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.02/1.24
% 2.02/1.24 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.02/1.24
% 2.02/1.24 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.02/1.24 ------ Proving...
% 2.02/1.24 ------ Problem Properties
% 2.02/1.24
% 2.02/1.24
% 2.02/1.24 clauses 18
% 2.02/1.24 conjectures 4
% 2.02/1.24 EPR 13
% 2.02/1.24 Horn 10
% 2.02/1.24 unary 6
% 2.02/1.24 binary 5
% 2.02/1.24 lits 40
% 2.02/1.24 lits eq 0
% 2.02/1.24 fd_pure 0
% 2.02/1.24 fd_pseudo 0
% 2.02/1.24 fd_cond 0
% 2.02/1.24 fd_pseudo_cond 0
% 2.02/1.24 AC symbols 0
% 2.02/1.24
% 2.02/1.24 ------ Schedule dynamic 5 is on
% 2.02/1.24
% 2.02/1.24 ------ no equalities: superposition off
% 2.02/1.24
% 2.02/1.24 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.02/1.24
% 2.02/1.24
% 2.02/1.24 ------
% 2.02/1.24 Current options:
% 2.02/1.24 ------
% 2.02/1.24
% 2.02/1.24
% 2.02/1.24
% 2.02/1.24
% 2.02/1.24 ------ Proving...
% 2.02/1.24
% 2.02/1.24
% 2.02/1.24 % SZS status Theorem for theBenchmark.p
% 2.02/1.24
% 2.02/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.02/1.24
% 2.02/1.24
%------------------------------------------------------------------------------