TSTP Solution File: GEO010-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO010-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:16:01 EDT 2024
% Result : Unsatisfiable 7.44s 1.70s
% Output : CNFRefutation 7.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of clauses : 51 ( 12 unt; 15 nHn; 45 RR)
% Number of literals : 117 ( 2 equ; 46 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 63 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
colinear(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).
cnf(c_50,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).
cnf(c_51,plain,
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X0,X2,X1)
| between(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-1.ax',colinearity1) ).
cnf(c_52,plain,
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-1.ax',colinearity2) ).
cnf(c_53,plain,
( ~ between(X0,X1,X2)
| colinear(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-1.ax',colinearity3) ).
cnf(c_54,plain,
( ~ between(X0,X1,X2)
| colinear(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-1.ax',colinearity4) ).
cnf(c_56,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',transitivity_for_betweeness) ).
cnf(c_59,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
cnf(c_61,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
cnf(c_62,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
cnf(c_67,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(c_68,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
cnf(c_397,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_877,plain,
( between(a,b,c)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_893,plain,
( colinear(b,c,a)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_877,c_54]) ).
cnf(c_1024,plain,
( ~ between(a,b,c)
| colinear(a,c,b) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1181,plain,
( ~ between(b,a,c)
| colinear(b,a,c) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_1182,plain,
( ~ between(a,b,c)
| colinear(b,a,c) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1183,plain,
( ~ between(b,c,a)
| colinear(b,a,c) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1802,plain,
( ~ between(b,c,a)
| colinear(b,c,a) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_1803,plain,
( ~ between(c,b,a)
| colinear(b,c,a) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1857,plain,
( between(a,b,c)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_1875,plain,
( colinear(b,a,c)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_1857,c_52]) ).
cnf(c_2844,plain,
( colinear(b,a,c)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_1875,c_877,c_1181,c_1182]) ).
cnf(c_10530,plain,
( ~ between(c,b,a)
| colinear(c,b,a) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_10531,plain,
( ~ between(b,c,a)
| colinear(c,b,a) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_13965,plain,
extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_68,c_59]) ).
cnf(c_13968,plain,
between(X0,X1,X1),
inference(superposition,[status(thm)],[c_13965,c_67]) ).
cnf(c_13983,plain,
( ~ between(X0,X1,X0)
| between(X2,X0,X1) ),
inference(superposition,[status(thm)],[c_13968,c_56]) ).
cnf(c_14008,plain,
( between(a,b,c)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_14052,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X4,X0,outer_pasch(X1,X0,X0,X3,X2)) ),
inference(superposition,[status(thm)],[c_61,c_13983]) ).
cnf(c_14083,plain,
( ~ between(X0,X1,outer_pasch(X0,X2,X3,X4,X5))
| ~ between(X2,X0,X5)
| ~ between(X3,X5,X4)
| between(X4,X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_56]) ).
cnf(c_15748,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X3,X1,X0) ),
inference(superposition,[status(thm)],[c_14052,c_14083]) ).
cnf(c_15932,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_13968,c_15748]) ).
cnf(c_16686,plain,
( between(a,b,c)
| between(a,c,b)
| between(c,a,b) ),
inference(superposition,[status(thm)],[c_14008,c_15932]) ).
cnf(c_17997,plain,
( colinear(c,b,a)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_16686,c_54]) ).
cnf(c_17998,plain,
( colinear(a,c,b)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_16686,c_53]) ).
cnf(c_17999,plain,
( colinear(c,a,b)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_16686,c_52]) ).
cnf(c_18265,plain,
( between(a,b,c)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_17997,c_50,c_893,c_2844,c_17999,c_17998,c_17997]) ).
cnf(c_18271,plain,
( between(a,b,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_18265,c_15932]) ).
cnf(c_18277,plain,
( colinear(c,a,b)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_18265,c_53]) ).
cnf(c_18278,plain,
( colinear(a,c,b)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_18265,c_52]) ).
cnf(c_18337,plain,
between(a,b,c),
inference(global_subsumption_just,[status(thm)],[c_18277,c_50,c_1183,c_1802,c_10531,c_18278,c_18277,c_18271]) ).
cnf(c_18339,plain,
between(c,b,a),
inference(superposition,[status(thm)],[c_18337,c_15932]) ).
cnf(c_18344,plain,
colinear(a,c,b),
inference(superposition,[status(thm)],[c_18337,c_54]) ).
cnf(c_18345,plain,
colinear(b,a,c),
inference(superposition,[status(thm)],[c_18337,c_53]) ).
cnf(c_18357,plain,
( ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(backward_subsumption_resolution,[status(thm)],[c_397,c_18344]) ).
cnf(c_18358,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18357,c_18345]) ).
cnf(c_18734,plain,
~ colinear(c,a,b),
inference(global_subsumption_just,[status(thm)],[c_18358,c_50,c_1024,c_1182,c_1183,c_1802,c_1803,c_10530,c_10531,c_18278,c_18277,c_18271,c_18339]) ).
cnf(c_18803,plain,
colinear(c,a,b),
inference(superposition,[status(thm)],[c_18339,c_54]) ).
cnf(c_18806,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_18803,c_18734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO010-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.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 : Fri May 3 01:15:18 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.44/1.70 % SZS status Started for theBenchmark.p
% 7.44/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 7.44/1.70
% 7.44/1.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.44/1.70
% 7.44/1.70 ------ iProver source info
% 7.44/1.70
% 7.44/1.70 git: date: 2024-05-02 19:28:25 +0000
% 7.44/1.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.44/1.70 git: non_committed_changes: false
% 7.44/1.70
% 7.44/1.70 ------ Parsing...successful
% 7.44/1.70
% 7.44/1.70
% 7.44/1.70
% 7.44/1.70 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 7.44/1.70
% 7.44/1.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.44/1.70
% 7.44/1.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.44/1.70 ------ Proving...
% 7.44/1.70 ------ Problem Properties
% 7.44/1.70
% 7.44/1.70
% 7.44/1.70 clauses 26
% 7.44/1.70 conjectures 1
% 7.44/1.70 EPR 17
% 7.44/1.70 Horn 19
% 7.44/1.70 unary 7
% 7.44/1.70 binary 5
% 7.44/1.70 lits 80
% 7.44/1.70 lits eq 8
% 7.44/1.70 fd_pure 0
% 7.44/1.70 fd_pseudo 0
% 7.44/1.70 fd_cond 0
% 7.44/1.70 fd_pseudo_cond 8
% 7.44/1.70 AC symbols 0
% 7.44/1.70
% 7.44/1.70 ------ Schedule dynamic 5 is on
% 7.44/1.70
% 7.44/1.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.44/1.70
% 7.44/1.70
% 7.44/1.70 ------
% 7.44/1.70 Current options:
% 7.44/1.70 ------
% 7.44/1.70
% 7.44/1.70
% 7.44/1.70
% 7.44/1.70
% 7.44/1.70 ------ Proving...
% 7.44/1.70
% 7.44/1.70
% 7.44/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 7.44/1.70
% 7.44/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.44/1.70
% 7.44/1.70
%------------------------------------------------------------------------------