TSTP Solution File: GEO011-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO011-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 02:16:02 EDT 2024
% Result : Unsatisfiable 2.43s 1.05s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 13 unt; 8 nHn; 27 RR)
% Number of literals : 65 ( 16 equ; 27 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 46 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
cnf(c_50,plain,
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X0,X2,X1)
| between(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-1.ax',colinearity1) ).
cnf(c_54,plain,
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
cnf(c_55,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',transitivity_for_betweeness) ).
cnf(c_58,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
cnf(c_60,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
cnf(c_61,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
cnf(c_66,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(c_67,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
cnf(c_68,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',lower_dimension1) ).
cnf(c_69,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',lower_dimension2) ).
cnf(c_70,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',lower_dimension3) ).
cnf(c_378,plain,
( X0 != lower_dimension_point_1
| X1 != lower_dimension_point_2
| X2 != lower_dimension_point_3
| between(X0,X1,X2)
| between(X0,X2,X1)
| between(X1,X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_49,c_50]) ).
cnf(c_379,plain,
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
inference(unflattening,[status(thm)],[c_378]) ).
cnf(c_380,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
inference(global_subsumption_just,[status(thm)],[c_379,c_68,c_379]) ).
cnf(c_1000,plain,
extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_67,c_58]) ).
cnf(c_1021,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| outer_pasch(X1,X0,X0,X3,X2) = X0 ),
inference(superposition,[status(thm)],[c_60,c_54]) ).
cnf(c_1041,plain,
between(X0,X1,X1),
inference(superposition,[status(thm)],[c_1000,c_66]) ).
cnf(c_4486,plain,
( ~ between(X0,X1,X2)
| outer_pasch(X1,X0,X0,X2,X1) = X0 ),
inference(superposition,[status(thm)],[c_1041,c_1021]) ).
cnf(c_7828,plain,
( outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(superposition,[status(thm)],[c_380,c_4486]) ).
cnf(c_8231,plain,
( outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2
| outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = lower_dimension_point_1 ),
inference(superposition,[status(thm)],[c_7828,c_4486]) ).
cnf(c_8234,plain,
( ~ between(lower_dimension_point_3,X0,lower_dimension_point_2)
| outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2
| between(lower_dimension_point_1,lower_dimension_point_3,X0) ),
inference(superposition,[status(thm)],[c_7828,c_55]) ).
cnf(c_8286,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)
| outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(superposition,[status(thm)],[c_8231,c_61]) ).
cnf(c_8295,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_8286,c_69,c_1041]) ).
cnf(c_8312,plain,
outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2,
inference(global_subsumption_just,[status(thm)],[c_8234,c_7828,c_8295]) ).
cnf(c_8314,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(superposition,[status(thm)],[c_8312,c_61]) ).
cnf(c_8317,plain,
~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3),
inference(forward_subsumption_resolution,[status(thm)],[c_8314,c_70,c_1041]) ).
cnf(c_8318,plain,
between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2),
inference(backward_subsumption_resolution,[status(thm)],[c_380,c_8317]) ).
cnf(c_8319,plain,
outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = lower_dimension_point_1,
inference(superposition,[status(thm)],[c_8318,c_4486]) ).
cnf(c_8334,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(superposition,[status(thm)],[c_8319,c_61]) ).
cnf(c_8337,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8334,c_69,c_1041,c_8318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : GEO011-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.04/0.08 % Command : run_iprover %s %d THM
% 0.07/0.26 % Computer : n017.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri May 3 00:51:21 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.11/0.38 Running first-order theorem proving
% 0.11/0.38 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
% 2.43/1.05 % SZS status Started for theBenchmark.p
% 2.43/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 2.43/1.05
% 2.43/1.05 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.43/1.05
% 2.43/1.05 ------ iProver source info
% 2.43/1.05
% 2.43/1.05 git: date: 2024-05-02 19:28:25 +0000
% 2.43/1.05 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.43/1.05 git: non_committed_changes: false
% 2.43/1.05
% 2.43/1.05 ------ Parsing...successful
% 2.43/1.05
% 2.43/1.05
% 2.43/1.05
% 2.43/1.05 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 2.43/1.05
% 2.43/1.05 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.43/1.05
% 2.43/1.05 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.43/1.05 ------ Proving...
% 2.43/1.05 ------ Problem Properties
% 2.43/1.05
% 2.43/1.05
% 2.43/1.05 clauses 21
% 2.43/1.05 conjectures 0
% 2.43/1.05 EPR 12
% 2.43/1.05 Horn 14
% 2.43/1.05 unary 6
% 2.43/1.05 binary 3
% 2.43/1.05 lits 66
% 2.43/1.05 lits eq 8
% 2.43/1.05 fd_pure 0
% 2.43/1.05 fd_pseudo 0
% 2.43/1.05 fd_cond 0
% 2.43/1.05 fd_pseudo_cond 8
% 2.43/1.05 AC symbols 0
% 2.43/1.05
% 2.43/1.05 ------ Schedule dynamic 5 is on
% 2.43/1.05
% 2.43/1.05 ------ no conjectures: strip conj schedule
% 2.43/1.05
% 2.43/1.05 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.43/1.05
% 2.43/1.05
% 2.43/1.05 ------
% 2.43/1.05 Current options:
% 2.43/1.05 ------
% 2.43/1.05
% 2.43/1.05
% 2.43/1.05
% 2.43/1.05
% 2.43/1.05 ------ Proving...
% 2.43/1.05
% 2.43/1.05
% 2.43/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 2.43/1.05
% 2.43/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.43/1.05
% 2.43/1.05
%------------------------------------------------------------------------------