TSTP Solution File: GEO037-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 02:16:09 EDT 2024
% Result : Unsatisfiable 1.20s 1.18s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 13 RR)
% Number of literals : 32 ( 7 equ; 12 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 : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 50 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,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_50,plain,
equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(c_51,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_52,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(c_53,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(c_54,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c_61,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
cnf(c_87,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_49,c_53]) ).
cnf(c_637,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
inference(superposition,[status(thm)],[c_50,c_51]) ).
cnf(c_638,plain,
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_54,c_51]) ).
cnf(c_648,plain,
extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_679,plain,
between(X0,X1,X1),
inference(superposition,[status(thm)],[c_648,c_53]) ).
cnf(c_691,plain,
equidistant(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_50,c_637]) ).
cnf(c_715,plain,
equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
inference(superposition,[status(thm)],[c_50,c_638]) ).
cnf(c_717,plain,
equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(superposition,[status(thm)],[c_691,c_638]) ).
cnf(c_731,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_717,c_51]) ).
cnf(c_1437,plain,
( ~ equidistant(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(superposition,[status(thm)],[c_731,c_87]) ).
cnf(c_1448,plain,
extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v,
inference(forward_subsumption_resolution,[status(thm)],[c_1437,c_717]) ).
cnf(c_1484,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,v,v),
inference(superposition,[status(thm)],[c_1448,c_715]) ).
cnf(c_1551,plain,
lower_dimension_point_1 = lower_dimension_point_2,
inference(superposition,[status(thm)],[c_1484,c_52]) ).
cnf(c_1553,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1),
inference(demodulation,[status(thm)],[c_61,c_1551]) ).
cnf(c_1556,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1553,c_679]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 01:13:51 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.20/1.18 % SZS status Started for theBenchmark.p
% 1.20/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.20/1.18
% 1.20/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.20/1.18
% 1.20/1.18 ------ iProver source info
% 1.20/1.18
% 1.20/1.18 git: date: 2024-05-02 19:28:25 +0000
% 1.20/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.20/1.18 git: non_committed_changes: false
% 1.20/1.18
% 1.20/1.18 ------ Parsing...successful
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 1.20/1.18
% 1.20/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.20/1.18
% 1.20/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.20/1.18 ------ Proving...
% 1.20/1.18 ------ Problem Properties
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18 clauses 19
% 1.20/1.18 conjectures 0
% 1.20/1.18 EPR 9
% 1.20/1.18 Horn 14
% 1.20/1.18 unary 6
% 1.20/1.18 binary 3
% 1.20/1.18 lits 58
% 1.20/1.18 lits eq 8
% 1.20/1.18 fd_pure 0
% 1.20/1.18 fd_pseudo 0
% 1.20/1.18 fd_cond 0
% 1.20/1.18 fd_pseudo_cond 7
% 1.20/1.18 AC symbols 0
% 1.20/1.18
% 1.20/1.18 ------ Schedule dynamic 5 is on
% 1.20/1.18
% 1.20/1.18 ------ no conjectures: strip conj schedule
% 1.20/1.18
% 1.20/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18 ------
% 1.20/1.18 Current options:
% 1.20/1.18 ------
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18 ------ Proving...
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.20/1.18
% 1.20/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.20/1.18
% 1.20/1.18
%------------------------------------------------------------------------------