TSTP Solution File: GEO180+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO180+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 23:09:55 EDT 2023
% Result : Theorem 2.46s 1.12s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 8 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 159 ( 59 ~; 77 |; 12 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 92 ( 0 sgn; 62 !; 9 ?)
% 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(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
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,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f24,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f32,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(f33,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f36,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f38]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f52,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f55,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f39]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_59,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_61,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_63,negated_conjecture,
~ apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f56]) ).
cnf(c_64,negated_conjecture,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f55]) ).
cnf(c_65,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f54]) ).
cnf(c_199,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_200,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_205,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
| distinct_lines(line_connecting(sK0,sK1),X0)
| apart_point_and_line(sK2,X0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_207,plain,
( ~ distinct_lines(X0,X1)
| ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_218,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK2,X0))
| ~ distinct_points(sK2,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_220,plain,
( ~ apart_point_and_line(X0,line_connecting(sK2,X0))
| ~ distinct_points(sK2,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_224,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),X0)
| ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0) ),
inference(instantiation,[status(thm)],[c_207]) ).
cnf(c_226,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK2,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_224]) ).
cnf(c_278,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1) ),
inference(instantiation,[status(thm)],[c_220]) ).
cnf(c_282,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
| distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| apart_point_and_line(sK2,line_connecting(sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_205]) ).
cnf(c_599,plain,
( apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(sK2,X0) ),
inference(superposition,[status(thm)],[c_64,c_60]) ).
cnf(c_644,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK2,sK1) ),
inference(superposition,[status(thm)],[c_599,c_56]) ).
cnf(c_646,plain,
distinct_points(sK2,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_644,c_65]) ).
cnf(c_683,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_684,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_683,c_646,c_282,c_278,c_226,c_200,c_199,c_63,c_64,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO180+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n025.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:36:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.46/1.12 % SZS status Started for theBenchmark.p
% 2.46/1.12 % SZS status Theorem for theBenchmark.p
% 2.46/1.12
% 2.46/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.46/1.12
% 2.46/1.12 ------ iProver source info
% 2.46/1.12
% 2.46/1.12 git: date: 2023-05-31 18:12:56 +0000
% 2.46/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.46/1.12 git: non_committed_changes: false
% 2.46/1.12 git: last_make_outside_of_git: false
% 2.46/1.12
% 2.46/1.12 ------ Parsing...
% 2.46/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.46/1.12
% 2.46/1.12 ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.46/1.12
% 2.46/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.46/1.12 ------ Proving...
% 2.46/1.12 ------ Problem Properties
% 2.46/1.12
% 2.46/1.12
% 2.46/1.12 clauses 12
% 2.46/1.12 conjectures 3
% 2.46/1.12 EPR 8
% 2.46/1.12 Horn 7
% 2.46/1.12 unary 5
% 2.46/1.12 binary 2
% 2.46/1.12 lits 27
% 2.46/1.12 lits eq 0
% 2.46/1.12 fd_pure 0
% 2.46/1.12 fd_pseudo 0
% 2.46/1.12 fd_cond 0
% 2.46/1.12 fd_pseudo_cond 0
% 2.46/1.12 AC symbols 0
% 2.46/1.12
% 2.46/1.12 ------ Schedule dynamic 5 is on
% 2.46/1.12
% 2.46/1.12 ------ no equalities: superposition off
% 2.46/1.12
% 2.46/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.46/1.12
% 2.46/1.12
% 2.46/1.12 ------
% 2.46/1.12 Current options:
% 2.46/1.12 ------
% 2.46/1.12
% 2.46/1.12
% 2.46/1.12
% 2.46/1.12
% 2.46/1.12 ------ Proving...
% 2.46/1.12
% 2.46/1.12
% 2.46/1.12 % SZS status Theorem for theBenchmark.p
% 2.46/1.12
% 2.46/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.46/1.12
% 2.46/1.13
%------------------------------------------------------------------------------