TSTP Solution File: GEO029-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO029-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 23:08:54 EDT 2023
% Result : Unsatisfiable 17.61s 3.19s
% Output : CNFRefutation 17.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 68 ( 24 unt; 4 nHn; 59 RR)
% Number of literals : 166 ( 24 equ; 96 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 115 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(c_50,negated_conjecture,
extension(u,v,u,v) != extension(u,v,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equal_extensions) ).
cnf(c_51,plain,
equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(c_52,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(c_53,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(c_54,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(c_55,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c_56,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/sandbox/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(c_202,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_526,plain,
( extension(u,v,u,v) != X0
| extension(u,v,v,u) != X0
| extension(u,v,u,v) = extension(u,v,v,u) ),
inference(instantiation,[status(thm)],[c_202]) ).
cnf(c_531,plain,
( ~ equidistant(extension(u,v,v,u),X0,X1,X1)
| extension(u,v,v,u) = X0 ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_543,plain,
( extension(u,v,u,v) != extension(X0,X1,X2,X3)
| extension(u,v,v,u) != extension(X0,X1,X2,X3)
| extension(u,v,u,v) = extension(u,v,v,u) ),
inference(instantiation,[status(thm)],[c_526]) ).
cnf(c_560,plain,
( ~ equidistant(X0,extension(u,v,v,u),X1,X2)
| ~ equidistant(X3,extension(u,v,u,v),X4,X2)
| ~ equidistant(X3,extension(u,v,v,u),X4,X2)
| ~ between(X0,X3,extension(u,v,u,v))
| ~ equidistant(X0,X3,X1,X4)
| ~ between(X1,X4,X2)
| X0 = X3
| equidistant(extension(u,v,u,v),extension(u,v,v,u),X2,X2) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_575,plain,
( ~ equidistant(X0,X1,X2,extension(u,v,u,v))
| ~ equidistant(X0,X1,X2,extension(u,v,v,u))
| equidistant(X2,extension(u,v,u,v),X2,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_651,plain,
( ~ equidistant(X0,X1,extension(u,v,u,v),X2)
| ~ equidistant(X0,X1,X3,X4)
| equidistant(extension(u,v,u,v),X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_661,plain,
( ~ equidistant(X0,X1,X2,extension(u,v,v,u))
| ~ equidistant(X0,X1,X3,X4)
| equidistant(X3,X4,X2,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_686,plain,
( ~ equidistant(X0,X1,X2,extension(u,v,v,u))
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,extension(u,v,v,u),X2,X3) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_774,plain,
equidistant(extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u)),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_795,plain,
equidistant(extension(u,v,u,v),X0,X0,extension(u,v,u,v)),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_800,plain,
equidistant(extension(u,v,v,u),X0,X0,extension(u,v,v,u)),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_801,plain,
equidistant(extension(u,v,v,u),u,u,extension(u,v,v,u)),
inference(instantiation,[status(thm)],[c_800]) ).
cnf(c_852,plain,
( ~ equidistant(X0,X1,extension(u,v,v,u),X2)
| ~ equidistant(X0,X1,X3,X4)
| equidistant(X3,X4,extension(u,v,v,u),X2) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_906,plain,
( ~ equidistant(X0,extension(u,v,u,v),extension(u,v,u,v),X0)
| ~ equidistant(X0,extension(u,v,u,v),X1,X2)
| equidistant(extension(u,v,u,v),X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_651]) ).
cnf(c_950,plain,
( ~ equidistant(extension(u,v,v,u),X0,X0,extension(u,v,v,u))
| ~ equidistant(extension(u,v,v,u),X0,X1,X2)
| equidistant(X1,X2,X0,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_978,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,v,X4)
| equidistant(v,X4,X2,X3) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_1002,plain,
( ~ equidistant(extension(u,v,v,u),X0,X0,extension(u,v,v,u))
| ~ equidistant(extension(u,v,v,u),X0,X0,X1)
| equidistant(X0,extension(u,v,v,u),X0,X1) ),
inference(instantiation,[status(thm)],[c_686]) ).
cnf(c_1131,plain,
( ~ equidistant(extension(u,v,u,v),X0,X1,X1)
| extension(u,v,u,v) = X0 ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1233,plain,
equidistant(v,extension(u,v,v,u),v,u),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1445,plain,
equidistant(extension(u,v,u,v),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,u,v)),
inference(instantiation,[status(thm)],[c_795]) ).
cnf(c_1448,plain,
equidistant(extension(u,v,u,v),extension(u,v,u,v),extension(u,v,u,v),extension(u,v,u,v)),
inference(instantiation,[status(thm)],[c_795]) ).
cnf(c_1545,plain,
( ~ equidistant(extension(u,v,u,v),extension(u,v,u,v),extension(u,v,u,v),extension(u,v,u,v))
| extension(u,v,u,v) = extension(u,v,u,v) ),
inference(instantiation,[status(thm)],[c_1131]) ).
cnf(c_1651,plain,
equidistant(X0,extension(u,v,u,v),extension(u,v,u,v),X0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1725,plain,
( ~ equidistant(extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u))
| ~ equidistant(extension(u,v,v,u),extension(u,v,v,u),X0,X1)
| equidistant(X0,X1,extension(u,v,v,u),extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_852]) ).
cnf(c_1729,plain,
( ~ equidistant(extension(u,v,u,v),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,u,v))
| ~ equidistant(extension(u,v,u,v),extension(u,v,v,u),X0,X1)
| equidistant(X0,X1,extension(u,v,v,u),extension(u,v,u,v)) ),
inference(instantiation,[status(thm)],[c_852]) ).
cnf(c_1857,plain,
( ~ equidistant(v,extension(u,v,u,v),extension(u,v,u,v),v)
| ~ equidistant(v,extension(u,v,u,v),u,v)
| equidistant(extension(u,v,u,v),v,u,v) ),
inference(instantiation,[status(thm)],[c_906]) ).
cnf(c_1887,plain,
( ~ equidistant(extension(u,v,v,u),X0,X0,extension(u,v,v,u))
| equidistant(X0,extension(u,v,v,u),X0,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_950]) ).
cnf(c_1888,plain,
( ~ equidistant(extension(u,v,v,u),u,u,extension(u,v,v,u))
| equidistant(u,extension(u,v,v,u),u,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_1887]) ).
cnf(c_2137,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,v,X4)
| equidistant(X2,X3,v,X4) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_2179,plain,
( ~ equidistant(v,extension(u,v,v,u),X0,X1)
| ~ equidistant(v,extension(u,v,v,u),v,u)
| equidistant(v,u,X0,X1) ),
inference(instantiation,[status(thm)],[c_978]) ).
cnf(c_2321,plain,
equidistant(v,extension(X0,v,X1,X2),X1,X2),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_2409,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,v)
| equidistant(X2,X3,X4,v) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_3078,plain,
equidistant(v,X0,X0,v),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3079,plain,
equidistant(v,u,u,v),
inference(instantiation,[status(thm)],[c_3078]) ).
cnf(c_3605,plain,
( extension(u,v,u,v) != extension(u,v,u,v)
| extension(u,v,v,u) != extension(u,v,u,v)
| extension(u,v,u,v) = extension(u,v,v,u) ),
inference(instantiation,[status(thm)],[c_543]) ).
cnf(c_3820,plain,
( ~ equidistant(extension(u,v,v,u),extension(u,v,u,v),X0,X0)
| extension(u,v,v,u) = extension(u,v,u,v) ),
inference(instantiation,[status(thm)],[c_531]) ).
cnf(c_4399,plain,
( ~ equidistant(extension(u,v,v,u),v,v,extension(u,v,v,u))
| ~ equidistant(extension(u,v,v,u),v,v,X0)
| equidistant(v,extension(u,v,v,u),v,X0) ),
inference(instantiation,[status(thm)],[c_1002]) ).
cnf(c_6373,plain,
between(u,v,extension(u,v,X0,X1)),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_7143,plain,
equidistant(v,extension(u,v,u,v),extension(u,v,u,v),v),
inference(instantiation,[status(thm)],[c_1651]) ).
cnf(c_7251,plain,
equidistant(extension(u,v,u,v),v,v,extension(u,v,u,v)),
inference(instantiation,[status(thm)],[c_795]) ).
cnf(c_7256,plain,
equidistant(extension(u,v,v,u),v,v,extension(u,v,v,u)),
inference(instantiation,[status(thm)],[c_800]) ).
cnf(c_7447,plain,
( ~ equidistant(extension(u,v,v,u),extension(u,v,u,v),extension(u,v,v,u),extension(u,v,v,u))
| extension(u,v,v,u) = extension(u,v,u,v) ),
inference(instantiation,[status(thm)],[c_3820]) ).
cnf(c_7543,plain,
( ~ equidistant(extension(u,v,v,u),v,v,extension(u,v,v,u))
| equidistant(v,extension(u,v,v,u),v,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_4399]) ).
cnf(c_7726,plain,
between(u,v,extension(u,v,u,v)),
inference(instantiation,[status(thm)],[c_6373]) ).
cnf(c_8118,plain,
( ~ equidistant(extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,u,v))
| ~ equidistant(extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u))
| equidistant(extension(u,v,v,u),extension(u,v,u,v),extension(u,v,v,u),extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_1725]) ).
cnf(c_8176,plain,
( ~ equidistant(extension(u,v,u,v),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,u,v))
| ~ equidistant(extension(u,v,u,v),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u))
| equidistant(extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,u,v)) ),
inference(instantiation,[status(thm)],[c_1729]) ).
cnf(c_8852,plain,
( ~ equidistant(v,extension(u,v,v,u),v,extension(u,v,v,u))
| ~ equidistant(v,extension(u,v,v,u),v,u)
| equidistant(v,u,v,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_2179]) ).
cnf(c_10138,plain,
equidistant(v,extension(u,v,u,v),u,v),
inference(instantiation,[status(thm)],[c_2321]) ).
cnf(c_10871,plain,
( ~ equidistant(extension(u,v,u,v),v,v,extension(u,v,u,v))
| ~ equidistant(extension(u,v,u,v),v,X0,X1)
| equidistant(X0,X1,v,extension(u,v,u,v)) ),
inference(instantiation,[status(thm)],[c_2137]) ).
cnf(c_14703,plain,
( ~ equidistant(v,u,v,extension(u,v,v,u))
| ~ equidistant(v,u,X0,X1)
| equidistant(X0,X1,v,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_2137]) ).
cnf(c_15155,plain,
( ~ equidistant(extension(u,v,u,v),v,X0,X1)
| ~ equidistant(extension(u,v,u,v),v,u,v)
| equidistant(X0,X1,u,v) ),
inference(instantiation,[status(thm)],[c_2409]) ).
cnf(c_20458,plain,
( ~ equidistant(extension(u,v,u,v),v,v,extension(u,v,u,v))
| ~ equidistant(extension(u,v,u,v),v,u,v)
| equidistant(u,v,v,extension(u,v,u,v)) ),
inference(instantiation,[status(thm)],[c_10871]) ).
cnf(c_25724,plain,
( ~ equidistant(u,v,v,extension(u,v,u,v))
| ~ equidistant(u,v,v,extension(u,v,v,u))
| equidistant(v,extension(u,v,u,v),v,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_30952,plain,
( ~ equidistant(v,u,v,extension(u,v,v,u))
| ~ equidistant(v,u,u,v)
| equidistant(u,v,v,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_14703]) ).
cnf(c_31279,plain,
( ~ equidistant(extension(u,v,u,v),v,u,v)
| equidistant(u,v,u,v) ),
inference(instantiation,[status(thm)],[c_15155]) ).
cnf(c_32208,plain,
( ~ equidistant(X0,extension(u,v,v,u),X1,extension(u,v,v,u))
| ~ equidistant(v,extension(u,v,u,v),v,extension(u,v,v,u))
| ~ equidistant(v,extension(u,v,v,u),v,extension(u,v,v,u))
| ~ between(X0,v,extension(u,v,u,v))
| ~ between(X1,v,extension(u,v,v,u))
| ~ equidistant(X0,v,X1,v)
| X0 = v
| equidistant(extension(u,v,u,v),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_560]) ).
cnf(c_32209,plain,
( ~ equidistant(u,extension(u,v,v,u),u,extension(u,v,v,u))
| ~ equidistant(v,extension(u,v,u,v),v,extension(u,v,v,u))
| ~ equidistant(v,extension(u,v,v,u),v,extension(u,v,v,u))
| ~ between(u,v,extension(u,v,u,v))
| ~ between(u,v,extension(u,v,v,u))
| ~ equidistant(u,v,u,v)
| u = v
| equidistant(extension(u,v,u,v),extension(u,v,v,u),extension(u,v,v,u),extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_32208]) ).
cnf(c_63252,plain,
between(u,v,extension(u,v,v,u)),
inference(instantiation,[status(thm)],[c_6373]) ).
cnf(c_63253,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_63252,c_32209,c_31279,c_30952,c_25724,c_20458,c_10138,c_8852,c_8176,c_8118,c_7726,c_7543,c_7447,c_7256,c_7251,c_7143,c_3605,c_3079,c_1888,c_1857,c_1545,c_1448,c_1445,c_1233,c_801,c_774,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 20:45:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.61/3.19 % SZS status Started for theBenchmark.p
% 17.61/3.19 % SZS status Unsatisfiable for theBenchmark.p
% 17.61/3.19
% 17.61/3.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.61/3.19
% 17.61/3.19 ------ iProver source info
% 17.61/3.19
% 17.61/3.19 git: date: 2023-05-31 18:12:56 +0000
% 17.61/3.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.61/3.19 git: non_committed_changes: false
% 17.61/3.19 git: last_make_outside_of_git: false
% 17.61/3.19
% 17.61/3.19 ------ Parsing...successful
% 17.61/3.19
% 17.61/3.19
% 17.61/3.19
% 17.61/3.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 17.61/3.19
% 17.61/3.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.61/3.19
% 17.61/3.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.61/3.19 ------ Proving...
% 17.61/3.19 ------ Problem Properties
% 17.61/3.19
% 17.61/3.19
% 17.61/3.19 clauses 20
% 17.61/3.19 conjectures 1
% 17.61/3.19 EPR 10
% 17.61/3.19 Horn 15
% 17.61/3.19 unary 8
% 17.61/3.19 binary 2
% 17.61/3.19 lits 58
% 17.61/3.19 lits eq 9
% 17.61/3.19 fd_pure 0
% 17.68/3.19 fd_pseudo 0
% 17.68/3.19 fd_cond 0
% 17.68/3.19 fd_pseudo_cond 7
% 17.68/3.19 AC symbols 0
% 17.68/3.19
% 17.68/3.19 ------ Input Options Time Limit: Unbounded
% 17.68/3.19
% 17.68/3.19
% 17.68/3.19 ------
% 17.68/3.19 Current options:
% 17.68/3.19 ------
% 17.68/3.19
% 17.68/3.19
% 17.68/3.19
% 17.68/3.19
% 17.68/3.19 ------ Proving...
% 17.68/3.19
% 17.68/3.19
% 17.68/3.19 % SZS status Unsatisfiable for theBenchmark.p
% 17.68/3.19
% 17.68/3.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.68/3.19
% 17.68/3.19
%------------------------------------------------------------------------------