TSTP Solution File: GEO069-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO069-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 : Wed Aug 30 23:09:10 EDT 2023
% Result : Satisfiable 272.53s 36.36s
% Output : Saturation 272.53s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(c_50,plain,
colinear(w,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wvu_colinear) ).
cnf(c_51,plain,
colinear(x,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xvu_colinear) ).
cnf(c_52,negated_conjecture,
( ~ colinear(x,w,u)
| ~ colinear(x,w,v) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xwu_and_xwv_colinear) ).
cnf(c_53,plain,
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(c_54,plain,
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(c_55,plain,
( ~ between(X0,X1,X2)
| colinear(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(c_56,plain,
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(c_57,plain,
equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(c_58,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(c_59,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(c_60,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(c_61,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c_62,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X1,X6,X3,X7)
| ~ between(X0,X1,X6)
| ~ between(X2,X3,X7)
| X0 = X1
| equidistant(X6,X4,X7,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(c_63,plain,
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(c_64,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X3,X4,X2,X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(c_65,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X3,X4,X2,X1,X0),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(c_66,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).
cnf(c_67,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).
cnf(c_68,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
cnf(c_69,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X4,X1,X4,X2)
| X1 = X2
| between(X0,X3,X4)
| between(X3,X4,X0)
| between(X4,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',upper_dimension) ).
cnf(c_70,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| between(X3,X0,euclid1(X3,X0,X1,X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',euclid1) ).
cnf(c_71,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| between(X3,X2,euclid2(X3,X0,X1,X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',euclid2) ).
cnf(c_72,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| between(euclid1(X3,X0,X1,X2,X4),X4,euclid2(X3,X0,X1,X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',euclid3) ).
cnf(c_73,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X0,X3,X1)
| ~ between(X3,X5,X1)
| between(X4,continuous(X0,X3,X4,X5,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',continuity1) ).
cnf(c_74,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X0,X3,X1)
| ~ between(X3,X5,X1)
| equidistant(X0,X5,X0,continuous(X0,X3,X4,X5,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',continuity2) ).
cnf(c_229,plain,
X0_1 = X0_1,
theory(equality) ).
cnf(c_150854,plain,
extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_61,c_59]) ).
cnf(c_174726,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
inference(superposition,[status(thm)],[c_57,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO069-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 19:38:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 272.53/36.36 % SZS status Started for theBenchmark.p
% 272.53/36.36 % SZS status Satisfiable for theBenchmark.p
% 272.53/36.36
% 272.53/36.36 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 272.53/36.36
% 272.53/36.36 ------ iProver source info
% 272.53/36.36
% 272.53/36.36 git: date: 2023-05-31 18:12:56 +0000
% 272.53/36.36 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 272.53/36.36 git: non_committed_changes: false
% 272.53/36.36 git: last_make_outside_of_git: false
% 272.53/36.36
% 272.53/36.36 ------ Parsing...successful
% 272.53/36.36
% 272.53/36.36
% 272.53/36.36
% 272.53/36.36 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 272.53/36.36
% 272.53/36.36 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 272.53/36.36
% 272.53/36.36 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 272.53/36.36 ------ Proving...
% 272.53/36.36 ------ Problem Properties
% 272.53/36.36
% 272.53/36.36
% 272.53/36.36 clauses 26
% 272.53/36.36 conjectures 1
% 272.53/36.36 EPR 17
% 272.53/36.36 Horn 20
% 272.53/36.36 unary 9
% 272.53/36.36 binary 6
% 272.53/36.36 lits 71
% 272.53/36.36 lits eq 8
% 272.53/36.36 fd_pure 0
% 272.53/36.36 fd_pseudo 0
% 272.53/36.36 fd_cond 0
% 272.53/36.36 fd_pseudo_cond 7
% 272.53/36.36 AC symbols 0
% 272.53/36.36
% 272.53/36.36 ------ Input Options Time Limit: Unbounded
% 272.53/36.36
% 272.53/36.36
% 272.53/36.36 ------
% 272.53/36.36 Current options:
% 272.53/36.36 ------
% 272.53/36.36
% 272.53/36.36
% 272.53/36.36
% 272.53/36.36
% 272.53/36.36 ------ Proving...
% 272.53/36.36
% 272.53/36.36
% 272.53/36.36 % SZS status Satisfiable for theBenchmark.p
% 272.53/36.36
% 272.53/36.36 % SZS output start Saturation for theBenchmark.p
% See solution above
% 272.53/36.36
% 272.53/36.36
%------------------------------------------------------------------------------