TSTP Solution File: GEO210+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO210+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:16:59 EDT 2024
% Result : Theorem 2.00s 1.13s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc1) ).
fof(f21,axiom,
! [X8,X5] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc2) ).
fof(f22,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
fof(f23,conjecture,
! [X8,X5,X6] :
( ( ~ unorthogonal_lines(X5,X6)
& ~ apart_point_and_line(X8,X5) )
=> ~ distinct_lines(X5,orthogonal_through_point(X6,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f24,negated_conjecture,
~ ! [X8,X5,X6] :
( ( ~ unorthogonal_lines(X5,X6)
& ~ apart_point_and_line(X8,X5) )
=> ~ distinct_lines(X5,orthogonal_through_point(X6,X8)) ),
inference(negated_conjecture,[],[f23]) ).
fof(f28,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f20]) ).
fof(f29,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f21]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f31,plain,
~ ! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,orthogonal_through_point(X2,X0)) ),
inference(rectify,[],[f24]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
? [X0,X1,X2] :
( distinct_lines(X1,orthogonal_through_point(X2,X0))
& ~ unorthogonal_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f57,plain,
? [X0,X1,X2] :
( distinct_lines(X1,orthogonal_through_point(X2,X0))
& ~ unorthogonal_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
( ? [X0,X1,X2] :
( distinct_lines(X1,orthogonal_through_point(X2,X0))
& ~ unorthogonal_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ( distinct_lines(sK1,orthogonal_through_point(sK2,sK0))
& ~ unorthogonal_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( distinct_lines(sK1,orthogonal_through_point(sK2,sK0))
& ~ unorthogonal_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f57,f58]) ).
fof(f82,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f28]) ).
fof(f83,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f85,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f86,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f59]) ).
fof(f87,plain,
distinct_lines(sK1,orthogonal_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f59]) ).
cnf(c_71,plain,
~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f82]) ).
cnf(c_72,plain,
~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f83]) ).
cnf(c_73,plain,
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| unorthogonal_lines(X0,X3)
| unorthogonal_lines(X1,X3) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_74,negated_conjecture,
distinct_lines(sK1,orthogonal_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f87]) ).
cnf(c_75,negated_conjecture,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f86]) ).
cnf(c_76,negated_conjecture,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f85]) ).
cnf(c_347,plain,
orthogonal_through_point(sK2,sK0) = sP0_iProver_def,
definition ).
cnf(c_350,negated_conjecture,
distinct_lines(sK1,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_74,c_347]) ).
cnf(c_720,plain,
~ unorthogonal_lines(sP0_iProver_def,sK2),
inference(superposition,[status(thm)],[c_347,c_71]) ).
cnf(c_722,plain,
~ apart_point_and_line(sK0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_347,c_72]) ).
cnf(c_1158,plain,
( ~ distinct_lines(sK1,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,sK1)
| unorthogonal_lines(X0,sK2)
| unorthogonal_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1631,plain,
( ~ distinct_lines(sK1,X0)
| apart_point_and_line(sK0,X0)
| unorthogonal_lines(X0,sK2)
| apart_point_and_line(sK0,sK1)
| unorthogonal_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_1158]) ).
cnf(c_2408,plain,
( ~ distinct_lines(sK1,sP0_iProver_def)
| apart_point_and_line(sK0,sK1)
| apart_point_and_line(sK0,sP0_iProver_def)
| unorthogonal_lines(sK1,sK2)
| unorthogonal_lines(sP0_iProver_def,sK2) ),
inference(instantiation,[status(thm)],[c_1631]) ).
cnf(c_2409,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2408,c_722,c_720,c_350,c_75,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO210+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:41:07 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 2.00/1.13 % SZS status Started for theBenchmark.p
% 2.00/1.13 % SZS status Theorem for theBenchmark.p
% 2.00/1.13
% 2.00/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.00/1.13
% 2.00/1.13 ------ iProver source info
% 2.00/1.13
% 2.00/1.13 git: date: 2024-05-02 19:28:25 +0000
% 2.00/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.00/1.13 git: non_committed_changes: false
% 2.00/1.13
% 2.00/1.13 ------ Parsing...
% 2.00/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.00/1.13
% 2.00/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.00/1.13
% 2.00/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.00/1.13
% 2.00/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.00/1.13 ------ Proving...
% 2.00/1.13 ------ Problem Properties
% 2.00/1.13
% 2.00/1.13
% 2.00/1.13 clauses 28
% 2.00/1.13 conjectures 3
% 2.00/1.13 EPR 19
% 2.00/1.13 Horn 15
% 2.00/1.13 unary 11
% 2.00/1.13 binary 5
% 2.00/1.13 lits 66
% 2.00/1.13 lits eq 1
% 2.00/1.13 fd_pure 0
% 2.00/1.13 fd_pseudo 0
% 2.00/1.13 fd_cond 0
% 2.00/1.13 fd_pseudo_cond 0
% 2.00/1.13 AC symbols 0
% 2.00/1.13
% 2.00/1.13 ------ Schedule dynamic 5 is on
% 2.00/1.13
% 2.00/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.00/1.13
% 2.00/1.13
% 2.00/1.13 ------
% 2.00/1.13 Current options:
% 2.00/1.13 ------
% 2.00/1.13
% 2.00/1.13
% 2.00/1.13
% 2.00/1.13
% 2.00/1.13 ------ Proving...
% 2.00/1.13
% 2.00/1.13
% 2.00/1.13 % SZS status Theorem for theBenchmark.p
% 2.00/1.13
% 2.00/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.00/1.14
% 2.00/1.14
%------------------------------------------------------------------------------