TSTP Solution File: GEO179+3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO179+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:16:43 EDT 2024
% Result : Theorem 0.42s 1.12s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f53,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f63,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(f64,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f63]) ).
fof(f65,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(f66,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f89,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f90,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f90,f91]) ).
fof(f97,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f99,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f104,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f105,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f107,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f108,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f129,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f92]) ).
fof(f130,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f92]) ).
fof(f131,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_53,plain,
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_61,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_63,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_64,plain,
~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f108]) ).
cnf(c_65,plain,
~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f109]) ).
cnf(c_85,negated_conjecture,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_86,negated_conjecture,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f130]) ).
cnf(c_87,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f129]) ).
cnf(c_448,plain,
line_connecting(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_449,plain,
line_connecting(sK2,sK0) = sP1_iProver_def,
definition ).
cnf(c_450,plain,
line_connecting(sK2,sK1) = sP2_iProver_def,
definition ).
cnf(c_451,negated_conjecture,
distinct_points(sK0,sK1),
inference(demodulation,[status(thm)],[c_87]) ).
cnf(c_452,negated_conjecture,
apart_point_and_line(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_86,c_448]) ).
cnf(c_453,negated_conjecture,
( ~ distinct_lines(sP0_iProver_def,sP1_iProver_def)
| ~ distinct_lines(sP0_iProver_def,sP2_iProver_def) ),
inference(demodulation,[status(thm)],[c_85,c_450,c_449]) ).
cnf(c_1184,plain,
( ~ distinct_points(sK0,sK1)
| ~ apart_point_and_line(sK0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_448,c_55]) ).
cnf(c_1186,plain,
( ~ distinct_points(sK2,sK0)
| ~ apart_point_and_line(sK2,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_449,c_55]) ).
cnf(c_1191,plain,
~ apart_point_and_line(sK0,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_1184,c_451]) ).
cnf(c_1357,plain,
( ~ apart_point_and_line(sK2,sP0_iProver_def)
| distinct_points(sK2,X0)
| apart_point_and_line(X0,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_1358,plain,
( ~ apart_point_and_line(sK2,sP0_iProver_def)
| distinct_points(sK2,sK0)
| apart_point_and_line(sK0,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_1357]) ).
cnf(c_1701,plain,
( distinct_lines(sP0_iProver_def,X0)
| apart_point_and_line(sK2,X0) ),
inference(superposition,[status(thm)],[c_452,c_61]) ).
cnf(c_1719,plain,
( distinct_lines(X0,X1)
| distinct_lines(sP0_iProver_def,X1)
| apart_point_and_line(sK2,X0) ),
inference(superposition,[status(thm)],[c_1701,c_53]) ).
cnf(c_1721,plain,
( ~ distinct_lines(sP0_iProver_def,sP2_iProver_def)
| apart_point_and_line(sK2,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_1701,c_453]) ).
cnf(c_1766,plain,
~ distinct_lines(sP0_iProver_def,sP2_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_1721,c_452,c_1191,c_1186,c_1358,c_1721]) ).
cnf(c_1813,plain,
( distinct_lines(X0,sP2_iProver_def)
| apart_point_and_line(sK2,X0) ),
inference(superposition,[status(thm)],[c_1719,c_1766]) ).
cnf(c_1853,plain,
( convergent_lines(X0,sP2_iProver_def)
| apart_point_and_line(sK2,X0) ),
inference(superposition,[status(thm)],[c_1813,c_63]) ).
cnf(c_2099,plain,
convergent_lines(parallel_through_point(X0,sK2),sP2_iProver_def),
inference(superposition,[status(thm)],[c_1853,c_65]) ).
cnf(c_2164,plain,
$false,
inference(superposition,[status(thm)],[c_2099,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO179+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n005.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:10:26 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 0.42/1.12 % SZS status Started for theBenchmark.p
% 0.42/1.12 % SZS status Theorem for theBenchmark.p
% 0.42/1.12
% 0.42/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.42/1.12
% 0.42/1.12 ------ iProver source info
% 0.42/1.12
% 0.42/1.12 git: date: 2024-05-02 19:28:25 +0000
% 0.42/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.42/1.12 git: non_committed_changes: false
% 0.42/1.12
% 0.42/1.12 ------ Parsing...
% 0.42/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.42/1.12
% 0.42/1.12 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.42/1.12
% 0.42/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.42/1.12
% 0.42/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.42/1.12 ------ Proving...
% 0.42/1.12 ------ Problem Properties
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 clauses 34
% 0.42/1.12 conjectures 3
% 0.42/1.12 EPR 23
% 0.42/1.12 Horn 18
% 0.42/1.12 unary 12
% 0.42/1.12 binary 7
% 0.42/1.12 lits 82
% 0.42/1.12 lits eq 3
% 0.42/1.12 fd_pure 0
% 0.42/1.12 fd_pseudo 0
% 0.42/1.12 fd_cond 0
% 0.42/1.12 fd_pseudo_cond 0
% 0.42/1.12 AC symbols 0
% 0.42/1.12
% 0.42/1.12 ------ Schedule dynamic 5 is on
% 0.42/1.12
% 0.42/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 ------
% 0.42/1.12 Current options:
% 0.42/1.12 ------
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 ------ Proving...
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 % SZS status Theorem for theBenchmark.p
% 0.42/1.12
% 0.42/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.42/1.12
% 0.42/1.12
%------------------------------------------------------------------------------