TSTP Solution File: GEO178+3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO178+3 : TPTP v8.1.2. Released v4.0.0.
% 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 02:16:42 EDT 2024
% Result : Theorem 2.16s 1.16s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',apart4) ).
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(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
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(f36,conjecture,
! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_points(X2,X1)
& distinct_points(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_points(X2,X1)
& distinct_points(X2,X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f51,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
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(f89,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,[],[f37]) ).
fof(f90,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,[],[f89]) ).
fof(f91,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) )
=> ( ( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ( ~ distinct_points(sK2,sK1)
| ~ distinct_points(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(f93,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f96,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f99,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f100,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
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(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_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f93]) ).
cnf(c_52,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
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_85,negated_conjecture,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
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,negated_conjecture,
distinct_points(sK0,sK1),
inference(demodulation,[status(thm)],[c_87]) ).
cnf(c_450,negated_conjecture,
apart_point_and_line(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_86,c_448]) ).
cnf(c_451,negated_conjecture,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(demodulation,[status(thm)],[c_85]) ).
cnf(c_887,plain,
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(superposition,[status(thm)],[c_449,c_52]) ).
cnf(c_896,plain,
( distinct_points(X0,X1)
| distinct_points(sK1,X0)
| distinct_points(sK0,X1) ),
inference(superposition,[status(thm)],[c_887,c_52]) ).
cnf(c_912,plain,
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| distinct_points(sK1,X0)
| distinct_points(sK0,X2) ),
inference(superposition,[status(thm)],[c_896,c_52]) ).
cnf(c_1074,plain,
( distinct_points(X0,sK1)
| distinct_points(sK0,X0)
| distinct_points(sK1,sK1) ),
inference(equality_factoring,[status(thm)],[c_912]) ).
cnf(c_1076,plain,
( distinct_points(X0,sK1)
| distinct_points(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1074,c_49]) ).
cnf(c_1201,plain,
( ~ distinct_points(sK0,sK1)
| ~ apart_point_and_line(sK0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_448,c_55]) ).
cnf(c_1202,plain,
~ apart_point_and_line(sK0,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_1201,c_449]) ).
cnf(c_1207,plain,
( ~ distinct_points(sK0,sK1)
| ~ apart_point_and_line(sK1,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_448,c_56]) ).
cnf(c_1208,plain,
~ apart_point_and_line(sK1,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_1207,c_449]) ).
cnf(c_1218,plain,
( ~ distinct_points(sK2,sK0)
| distinct_points(sK0,sK2) ),
inference(superposition,[status(thm)],[c_1076,c_451]) ).
cnf(c_1233,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_1234,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_1233]) ).
cnf(c_1235,plain,
distinct_points(sK0,sK2),
inference(global_subsumption_just,[status(thm)],[c_1218,c_450,c_1202,c_1218,c_1234]) ).
cnf(c_1237,plain,
( distinct_points(sK2,X0)
| distinct_points(sK0,X0) ),
inference(superposition,[status(thm)],[c_1235,c_52]) ).
cnf(c_1245,plain,
distinct_points(sK2,sK0),
inference(superposition,[status(thm)],[c_1237,c_49]) ).
cnf(c_1250,plain,
~ distinct_points(sK2,sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_451,c_1245]) ).
cnf(c_1310,plain,
( distinct_points(sK2,X0)
| apart_point_and_line(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_450,c_60]) ).
cnf(c_1331,plain,
apart_point_and_line(sK1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_1310,c_1250]) ).
cnf(c_1332,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1331,c_1208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO178+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n029.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 : Fri May 3 01:34:07 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 2.16/1.16 % SZS status Started for theBenchmark.p
% 2.16/1.16 % SZS status Theorem for theBenchmark.p
% 2.16/1.16
% 2.16/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.16/1.16
% 2.16/1.16 ------ iProver source info
% 2.16/1.16
% 2.16/1.16 git: date: 2024-05-02 19:28:25 +0000
% 2.16/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.16/1.16 git: non_committed_changes: false
% 2.16/1.16
% 2.16/1.16 ------ Parsing...
% 2.16/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.16/1.16
% 2.16/1.16 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.16/1.16
% 2.16/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.16/1.16
% 2.16/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.16/1.16 ------ Proving...
% 2.16/1.16 ------ Problem Properties
% 2.16/1.16
% 2.16/1.16
% 2.16/1.16 clauses 32
% 2.16/1.16 conjectures 3
% 2.16/1.16 EPR 23
% 2.16/1.16 Horn 16
% 2.16/1.16 unary 10
% 2.16/1.16 binary 7
% 2.16/1.16 lits 80
% 2.16/1.16 lits eq 1
% 2.16/1.16 fd_pure 0
% 2.16/1.16 fd_pseudo 0
% 2.16/1.16 fd_cond 0
% 2.16/1.16 fd_pseudo_cond 0
% 2.16/1.16 AC symbols 0
% 2.16/1.16
% 2.16/1.16 ------ Schedule dynamic 5 is on
% 2.16/1.16
% 2.16/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.16/1.16
% 2.16/1.16
% 2.16/1.16 ------
% 2.16/1.16 Current options:
% 2.16/1.16 ------
% 2.16/1.16
% 2.16/1.16
% 2.16/1.16
% 2.16/1.16
% 2.16/1.16 ------ Proving...
% 2.16/1.16
% 2.16/1.16
% 2.16/1.16 % SZS status Theorem for theBenchmark.p
% 2.16/1.16
% 2.16/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.16/1.16
% 2.16/1.17
%------------------------------------------------------------------------------