TSTP Solution File: GEO170+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:16:38 EDT 2024
% Result : Theorem 1.91s 1.19s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f9,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(f10,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,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f15,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,[],[f9]) ).
fof(f16,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f26,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,[],[f15]) ).
fof(f27,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,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f33,plain,
? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f34,plain,
? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ( distinct_lines(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( distinct_lines(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f34,f35]) ).
fof(f37,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f43,plain,
! [X2,X0,X1] :
( distinct_points(X2,X0)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f47,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,[],[f27]) ).
fof(f48,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f53,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f37]) ).
cnf(c_52,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
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,[],[f47]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_63,negated_conjecture,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f54]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f53]) ).
cnf(c_65,negated_conjecture,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f52]) ).
cnf(c_66,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
cnf(c_69,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_214,plain,
line_connecting(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_215,negated_conjecture,
distinct_points(sK0,sK1),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_218,negated_conjecture,
distinct_lines(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_63,c_214]) ).
cnf(c_475,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK1) ),
inference(superposition,[status(thm)],[c_214,c_55]) ).
cnf(c_476,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| distinct_points(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_475,c_215]) ).
cnf(c_727,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_730,plain,
( ~ distinct_points(sK1,X0)
| distinct_points(X0,X1)
| distinct_points(sK1,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_847,plain,
( ~ distinct_points(X0,sK1)
| distinct_points(X0,X1)
| distinct_points(sK1,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_858,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK0) ),
inference(superposition,[status(thm)],[c_214,c_56]) ).
cnf(c_859,plain,
( ~ apart_point_and_line(X0,sP0_iProver_def)
| distinct_points(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_858,c_215]) ).
cnf(c_862,plain,
( ~ apart_point_and_line(sK0,sP0_iProver_def)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_859]) ).
cnf(c_1016,plain,
( distinct_points(sK0,X0)
| distinct_points(sK1,X0) ),
inference(superposition,[status(thm)],[c_215,c_52]) ).
cnf(c_1024,plain,
( distinct_points(X0,X1)
| distinct_points(sK0,X0)
| distinct_points(sK1,X1) ),
inference(superposition,[status(thm)],[c_1016,c_52]) ).
cnf(c_1081,plain,
( ~ distinct_points(sK0,sK1)
| ~ distinct_lines(sK2,sP0_iProver_def)
| apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK0,sP0_iProver_def)
| apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK1,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_727]) ).
cnf(c_1141,plain,
( ~ apart_point_and_line(sK1,sP0_iProver_def)
| distinct_points(sK1,X0)
| apart_point_and_line(X0,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_1172,plain,
( distinct_points(X0,X1)
| distinct_points(sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1024,c_66,c_65,c_64,c_69,c_218,c_476,c_730,c_847,c_862,c_1081,c_1141]) ).
cnf(c_1182,plain,
distinct_points(sK1,X0),
inference(equality_factoring,[status(thm)],[c_1172]) ).
cnf(c_1571,plain,
$false,
inference(superposition,[status(thm)],[c_1182,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15 % Command : run_iprover %s %d THM
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 01:12:31 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.91/1.19 % SZS status Started for theBenchmark.p
% 1.91/1.19 % SZS status Theorem for theBenchmark.p
% 1.91/1.19
% 1.91/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.91/1.19
% 1.91/1.19 ------ iProver source info
% 1.91/1.19
% 1.91/1.19 git: date: 2024-05-02 19:28:25 +0000
% 1.91/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.91/1.19 git: non_committed_changes: false
% 1.91/1.19
% 1.91/1.19 ------ Parsing...
% 1.91/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.91/1.19
% 1.91/1.19 ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.91/1.19
% 1.91/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.91/1.19
% 1.91/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.91/1.19 ------ Proving...
% 1.91/1.19 ------ Problem Properties
% 1.91/1.19
% 1.91/1.19
% 1.91/1.19 clauses 14
% 1.91/1.19 conjectures 4
% 1.91/1.19 EPR 11
% 1.91/1.19 Horn 9
% 1.91/1.19 unary 7
% 1.91/1.19 binary 0
% 1.91/1.19 lits 31
% 1.91/1.19 lits eq 1
% 1.91/1.19 fd_pure 0
% 1.91/1.19 fd_pseudo 0
% 1.91/1.19 fd_cond 0
% 1.91/1.19 fd_pseudo_cond 0
% 1.91/1.19 AC symbols 0
% 1.91/1.19
% 1.91/1.19 ------ Schedule dynamic 5 is on
% 1.91/1.19
% 1.91/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.91/1.19
% 1.91/1.19
% 1.91/1.19 ------
% 1.91/1.19 Current options:
% 1.91/1.19 ------
% 1.91/1.19
% 1.91/1.19
% 1.91/1.19
% 1.91/1.19
% 1.91/1.19 ------ Proving...
% 1.91/1.19
% 1.91/1.19
% 1.91/1.19 % SZS status Theorem for theBenchmark.p
% 1.91/1.19
% 1.91/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.91/1.19
% 1.91/1.19
%------------------------------------------------------------------------------