TSTP Solution File: GEO190+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 02:16:48 EDT 2024
% Result : Theorem 2.95s 1.19s
% Output : CNFRefutation 2.95s
% 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] :
( 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(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] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
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(f18,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f19,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f18]) ).
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(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(X2,line_connecting(X1,X0))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f37,plain,
? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(sK2,line_connecting(sK1,sK0))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( apart_point_and_line(sK2,line_connecting(sK1,sK0))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f38]) ).
fof(f40,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f43,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
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(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(f57,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f39]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f40]) ).
cnf(c_52,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
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_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(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f58]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f57]) ).
cnf(c_67,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f54]) ).
cnf(c_70,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_209,plain,
line_connecting(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_210,plain,
line_connecting(sK1,sK0) = sP1_iProver_def,
definition ).
cnf(c_211,negated_conjecture,
distinct_points(sK0,sK1),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_214,negated_conjecture,
~ apart_point_and_line(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_64,c_209]) ).
cnf(c_215,negated_conjecture,
apart_point_and_line(sK2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_63,c_210]) ).
cnf(c_416,plain,
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(superposition,[status(thm)],[c_211,c_52]) ).
cnf(c_423,plain,
( distinct_points(sK1,sK0)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_416]) ).
cnf(c_436,plain,
( ~ distinct_points(sK1,sK0)
| ~ apart_point_and_line(sK1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_210,c_55]) ).
cnf(c_437,plain,
( ~ distinct_points(sK0,sK1)
| ~ apart_point_and_line(sK0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_209,c_55]) ).
cnf(c_438,plain,
~ apart_point_and_line(sK0,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_437,c_211]) ).
cnf(c_445,plain,
( ~ distinct_points(sK1,sK0)
| ~ apart_point_and_line(sK0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_210,c_56]) ).
cnf(c_446,plain,
( ~ distinct_points(sK0,sK1)
| ~ apart_point_and_line(sK1,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_209,c_56]) ).
cnf(c_447,plain,
~ apart_point_and_line(sK1,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_446,c_211]) ).
cnf(c_654,plain,
( distinct_lines(sP1_iProver_def,X0)
| apart_point_and_line(sK2,X0) ),
inference(superposition,[status(thm)],[c_215,c_61]) ).
cnf(c_684,plain,
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| distinct_points(sK1,X2)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,X1) ),
inference(superposition,[status(thm)],[c_416,c_59]) ).
cnf(c_946,plain,
~ apart_point_and_line(sK1,sP1_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_436,c_70,c_423,c_436]) ).
cnf(c_1056,plain,
( apart_point_and_line(X0,X1)
| distinct_points(sK1,X0)
| apart_point_and_line(X0,sP1_iProver_def)
| apart_point_and_line(sK2,X1)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_654,c_684]) ).
cnf(c_1078,plain,
( apart_point_and_line(sK0,X1)
| apart_point_and_line(sK2,X1)
| apart_point_and_line(X0,sP1_iProver_def)
| distinct_points(sK1,X0)
| apart_point_and_line(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1056,c_70,c_423,c_445,c_1056]) ).
cnf(c_1079,plain,
( apart_point_and_line(X0,X1)
| distinct_points(sK1,X0)
| apart_point_and_line(X0,sP1_iProver_def)
| apart_point_and_line(sK2,X1)
| apart_point_and_line(sK0,X1) ),
inference(renaming,[status(thm)],[c_1078]) ).
cnf(c_1105,plain,
( distinct_points(sK1,sK1)
| apart_point_and_line(sK2,sP0_iProver_def)
| apart_point_and_line(sK1,sP1_iProver_def)
| apart_point_and_line(sK0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_1079,c_447]) ).
cnf(c_1108,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1105,c_438,c_946,c_214,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n018.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 01:33:01 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 2.95/1.19 % SZS status Started for theBenchmark.p
% 2.95/1.19 % SZS status Theorem for theBenchmark.p
% 2.95/1.19
% 2.95/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.95/1.19
% 2.95/1.19 ------ iProver source info
% 2.95/1.19
% 2.95/1.19 git: date: 2024-05-02 19:28:25 +0000
% 2.95/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.95/1.19 git: non_committed_changes: false
% 2.95/1.19
% 2.95/1.19 ------ Parsing...
% 2.95/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.95/1.19
% 2.95/1.19 ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.95/1.19
% 2.95/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.95/1.19
% 2.95/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.95/1.19 ------ Proving...
% 2.95/1.19 ------ Problem Properties
% 2.95/1.19
% 2.95/1.19
% 2.95/1.19 clauses 16
% 2.95/1.19 conjectures 5
% 2.95/1.19 EPR 12
% 2.95/1.19 Horn 11
% 2.95/1.19 unary 9
% 2.95/1.19 binary 2
% 2.95/1.19 lits 31
% 2.95/1.19 lits eq 2
% 2.95/1.19 fd_pure 0
% 2.95/1.19 fd_pseudo 0
% 2.95/1.19 fd_cond 0
% 2.95/1.19 fd_pseudo_cond 0
% 2.95/1.19 AC symbols 0
% 2.95/1.19
% 2.95/1.19 ------ Schedule dynamic 5 is on
% 2.95/1.19
% 2.95/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.95/1.19
% 2.95/1.19
% 2.95/1.19 ------
% 2.95/1.19 Current options:
% 2.95/1.19 ------
% 2.95/1.19
% 2.95/1.19
% 2.95/1.19
% 2.95/1.19
% 2.95/1.19 ------ Proving...
% 2.95/1.19
% 2.95/1.19
% 2.95/1.19 % SZS status Theorem for theBenchmark.p
% 2.95/1.19
% 2.95/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.95/1.19
% 2.95/1.20
%------------------------------------------------------------------------------