TSTP Solution File: GEO037-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO037-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 23:08:58 EDT 2023
% Result : Unsatisfiable 0.48s 1.17s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 34 ( 7 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 30 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(c_57,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5) ).
cnf(c_59,plain,
( extension(X0,X1,X2,X3) != X4
| between(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b0) ).
cnf(c_87,plain,
lower_dimension_point_1 != lower_dimension_point_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e2_1) ).
cnf(c_90,negated_conjecture,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lengthen) ).
cnf(c_94,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(c_96,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c_111,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
inference(unflattening,[status(thm)],[c_59]) ).
cnf(c_169,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v ),
inference(backward_subsumption_resolution,[status(thm)],[c_90,c_111]) ).
cnf(c_1344,plain,
( ~ equidistant(X0,X1,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),X0,X1)
| equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_1464,plain,
( ~ equidistant(x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),X0,X1)
| equidistant(X0,X1,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1501,plain,
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2)
| equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(instantiation,[status(thm)],[c_1344]) ).
cnf(c_2884,plain,
equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_3012,plain,
( ~ equidistant(x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2)
| equidistant(lower_dimension_point_1,lower_dimension_point_2,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(instantiation,[status(thm)],[c_1464]) ).
cnf(c_5145,plain,
equidistant(x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_7569,plain,
extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v,
inference(global_subsumption_just,[status(thm)],[c_169,c_169,c_1501,c_2884,c_3012,c_5145]) ).
cnf(c_7596,plain,
equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[status(thm)],[c_7569,c_96]) ).
cnf(c_7645,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,v,v),
inference(superposition,[status(thm)],[c_7596,c_50]) ).
cnf(c_7691,plain,
lower_dimension_point_1 = lower_dimension_point_2,
inference(superposition,[status(thm)],[c_7645,c_94]) ).
cnf(c_7692,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7691,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n003.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 21:32:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.17 % SZS status Started for theBenchmark.p
% 0.48/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.17
% 0.48/1.17 ------ iProver source info
% 0.48/1.17
% 0.48/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.17 git: non_committed_changes: false
% 0.48/1.17 git: last_make_outside_of_git: false
% 0.48/1.17
% 0.48/1.17 ------ Parsing...successful
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.17 ------ Proving...
% 0.48/1.17 ------ Problem Properties
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 clauses 55
% 0.48/1.17 conjectures 0
% 0.48/1.17 EPR 35
% 0.48/1.17 Horn 44
% 0.48/1.17 unary 19
% 0.48/1.17 binary 14
% 0.48/1.17 lits 135
% 0.48/1.17 lits eq 29
% 0.48/1.17 fd_pure 0
% 0.48/1.17 fd_pseudo 0
% 0.48/1.17 fd_cond 0
% 0.48/1.17 fd_pseudo_cond 15
% 0.48/1.17 AC symbols 0
% 0.48/1.17
% 0.48/1.17 ------ Input Options Time Limit: Unbounded
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------
% 0.48/1.17 Current options:
% 0.48/1.17 ------
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------ Proving...
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17
% 0.48/1.17
%------------------------------------------------------------------------------