TSTP Solution File: GEO029-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO029-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 33.09s 5.25s
% Output : CNFRefutation 33.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 13 unt; 4 nHn; 22 RR)
% Number of literals : 61 ( 21 equ; 30 neg)
% Maximal clause size : 5 ( 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 : 54 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
cnf(c_52,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_1) ).
cnf(c_57,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5) ).
cnf(c_67,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X3,X0,X1)
| ~ between(X3,X0,X2)
| X0 = X3
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9) ).
cnf(c_68,plain,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(c_69,negated_conjecture,
extension(u,v,u,v) != extension(u,v,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_extensions) ).
cnf(c_71,plain,
equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(c_73,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(c_74,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(c_75,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c_89,plain,
equidistant(u,u,u,u),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_97,plain,
( ~ equidistant(u,u,u,u)
| u = u ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_305,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_562,plain,
( ~ equidistant(X0,extension(u,v,u,v),X0,extension(u,v,v,u))
| ~ between(X1,X0,extension(u,v,u,v))
| ~ between(X1,X0,extension(u,v,v,u))
| extension(u,v,u,v) = extension(u,v,v,u)
| X0 = X1 ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_579,plain,
( u != X0
| v != X0
| u = v ),
inference(instantiation,[status(thm)],[c_305]) ).
cnf(c_580,plain,
( u != u
| v != u
| u = v ),
inference(instantiation,[status(thm)],[c_579]) ).
cnf(c_670,plain,
between(u,v,extension(u,v,X0,X1)),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_785,plain,
( ~ equidistant(v,extension(u,v,u,v),v,extension(u,v,v,u))
| ~ between(X0,v,extension(u,v,u,v))
| ~ between(X0,v,extension(u,v,v,u))
| extension(u,v,u,v) = extension(u,v,v,u)
| v = X0 ),
inference(instantiation,[status(thm)],[c_562]) ).
cnf(c_799,plain,
( ~ equidistant(v,extension(u,v,u,v),v,extension(u,v,v,u))
| ~ between(u,v,extension(u,v,u,v))
| ~ between(u,v,extension(u,v,v,u))
| extension(u,v,u,v) = extension(u,v,v,u)
| v = u ),
inference(instantiation,[status(thm)],[c_785]) ).
cnf(c_991,plain,
between(u,v,extension(u,v,v,u)),
inference(instantiation,[status(thm)],[c_670]) ).
cnf(c_1224,plain,
between(u,v,extension(u,v,u,v)),
inference(instantiation,[status(thm)],[c_670]) ).
cnf(c_2429,plain,
equidistant(v,extension(X0,v,v,X1),v,X1),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_2431,plain,
equidistant(v,extension(u,v,v,u),v,u),
inference(instantiation,[status(thm)],[c_2429]) ).
cnf(c_6743,plain,
( ~ equidistant(X0,X1,v,u)
| equidistant(v,u,X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_12598,plain,
equidistant(X0,extension(X1,X0,X2,X3),X3,X2),
inference(superposition,[status(thm)],[c_75,c_52]) ).
cnf(c_15121,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X1,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_12598,c_57]) ).
cnf(c_43895,plain,
( ~ equidistant(v,extension(u,v,v,u),v,u)
| equidistant(v,u,v,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_6743]) ).
cnf(c_52980,plain,
( ~ equidistant(v,u,v,extension(u,v,v,u))
| equidistant(v,extension(u,v,u,v),v,extension(u,v,v,u)) ),
inference(instantiation,[status(thm)],[c_15121]) ).
cnf(c_52981,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_52980,c_43895,c_2431,c_1224,c_991,c_799,c_580,c_69,c_97,c_68,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO029-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.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 22:31:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 33.09/5.25 % SZS status Started for theBenchmark.p
% 33.09/5.25 % SZS status Unsatisfiable for theBenchmark.p
% 33.09/5.25
% 33.09/5.25 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 33.09/5.25
% 33.09/5.25 ------ iProver source info
% 33.09/5.25
% 33.09/5.25 git: date: 2023-05-31 18:12:56 +0000
% 33.09/5.25 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 33.09/5.25 git: non_committed_changes: false
% 33.09/5.25 git: last_make_outside_of_git: false
% 33.09/5.25
% 33.09/5.25 ------ Parsing...successful
% 33.09/5.25
% 33.09/5.25
% 33.09/5.25
% 33.09/5.25 ------ Preprocessing...
% 33.09/5.25
% 33.09/5.25 ------ Preprocessing...
% 33.09/5.25
% 33.09/5.25 ------ Preprocessing...
% 33.09/5.25 ------ Proving...
% 33.09/5.25 ------ Problem Properties
% 33.09/5.25
% 33.09/5.25
% 33.09/5.25 clauses 38
% 33.09/5.25 conjectures 1
% 33.09/5.25 EPR 22
% 33.09/5.25 Horn 32
% 33.09/5.25 unary 15
% 33.09/5.25 binary 10
% 33.09/5.25 lits 94
% 33.09/5.25 lits eq 16
% 33.09/5.25 fd_pure 0
% 33.09/5.25 fd_pseudo 0
% 33.09/5.25 fd_cond 0
% 33.09/5.25 fd_pseudo_cond 9
% 33.09/5.25 AC symbols 0
% 33.09/5.25
% 33.09/5.25 ------ Input Options Time Limit: Unbounded
% 33.09/5.25
% 33.09/5.25
% 33.09/5.25 ------
% 33.09/5.25 Current options:
% 33.09/5.25 ------
% 33.09/5.25
% 33.09/5.25
% 33.09/5.25
% 33.09/5.25
% 33.09/5.25 ------ Proving...
% 33.09/5.25
% 33.09/5.25
% 33.09/5.25 % SZS status Unsatisfiable for theBenchmark.p
% 33.09/5.25
% 33.09/5.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 33.09/5.25
% 33.09/5.25
%------------------------------------------------------------------------------