TSTP Solution File: GEO007-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO007-1 : 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 02:16:00 EDT 2024
% Result : Unsatisfiable 4.19s 1.09s
% Output : CNFRefutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 16 unt; 7 nHn; 34 RR)
% Number of literals : 84 ( 11 equ; 38 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 : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 67 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
cnf(c_50,plain,
between(d,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_between_a_and_c) ).
cnf(c_51,plain,
between(e,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_between_a_and_e) ).
cnf(c_52,plain,
~ between(d,e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_not_between_d_and_a) ).
cnf(c_53,negated_conjecture,
~ between(e,d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).
cnf(c_54,plain,
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
cnf(c_55,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_56,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1
| between(X0,X2,X3)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',connectivity_for_betweeness) ).
cnf(c_58,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
cnf(c_60,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_61,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_66,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(c_67,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
cnf(c_686,plain,
extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_67,c_58]) ).
cnf(c_688,plain,
between(X0,X1,X1),
inference(superposition,[status(thm)],[c_686,c_66]) ).
cnf(c_702,plain,
( ~ between(X0,X1,X0)
| between(X2,X0,X1) ),
inference(superposition,[status(thm)],[c_688,c_55]) ).
cnf(c_801,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X4,X0,outer_pasch(X1,X0,X0,X3,X2)) ),
inference(superposition,[status(thm)],[c_60,c_702]) ).
cnf(c_802,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| outer_pasch(X1,X0,X0,X3,X2) = X0 ),
inference(superposition,[status(thm)],[c_60,c_54]) ).
cnf(c_844,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_61,c_55]) ).
cnf(c_879,plain,
( ~ between(d,a,X0)
| ~ between(e,d,X0)
| between(e,d,a) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1107,plain,
( ~ between(d,a,c)
| ~ between(e,d,c)
| between(e,d,a) ),
inference(instantiation,[status(thm)],[c_879]) ).
cnf(c_2623,plain,
( ~ between(d,c,X0)
| outer_pasch(a,d,d,X0,c) = d ),
inference(superposition,[status(thm)],[c_50,c_802]) ).
cnf(c_2624,plain,
( ~ between(e,c,X0)
| outer_pasch(a,e,e,X0,c) = e ),
inference(superposition,[status(thm)],[c_51,c_802]) ).
cnf(c_2719,plain,
outer_pasch(a,d,d,c,c) = d,
inference(superposition,[status(thm)],[c_688,c_2623]) ).
cnf(c_2763,plain,
( ~ between(d,a,c)
| ~ between(d,c,c)
| between(c,a,d) ),
inference(superposition,[status(thm)],[c_2719,c_61]) ).
cnf(c_2767,plain,
between(c,a,d),
inference(forward_subsumption_resolution,[status(thm)],[c_2763,c_688,c_50]) ).
cnf(c_2774,plain,
( ~ between(c,a,X0)
| a = c
| between(c,X0,d)
| between(c,d,X0) ),
inference(superposition,[status(thm)],[c_2767,c_56]) ).
cnf(c_2780,plain,
( ~ between(c,a,X0)
| between(c,X0,d)
| between(c,d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2774,c_49]) ).
cnf(c_2965,plain,
outer_pasch(a,e,e,c,c) = e,
inference(superposition,[status(thm)],[c_688,c_2624]) ).
cnf(c_2986,plain,
( ~ between(e,a,c)
| ~ between(e,c,c)
| between(c,a,e) ),
inference(superposition,[status(thm)],[c_2965,c_61]) ).
cnf(c_2990,plain,
between(c,a,e),
inference(forward_subsumption_resolution,[status(thm)],[c_2986,c_688,c_51]) ).
cnf(c_3007,plain,
( between(c,d,e)
| between(c,e,d) ),
inference(superposition,[status(thm)],[c_2990,c_2780]) ).
cnf(c_4230,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X3,X1,X0) ),
inference(superposition,[status(thm)],[c_801,c_844]) ).
cnf(c_4895,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_688,c_4230]) ).
cnf(c_5459,plain,
( between(c,d,e)
| between(d,e,c) ),
inference(superposition,[status(thm)],[c_3007,c_4895]) ).
cnf(c_5578,plain,
( ~ between(e,X0,c)
| between(d,e,X0)
| between(c,d,e) ),
inference(superposition,[status(thm)],[c_5459,c_55]) ).
cnf(c_5597,plain,
( ~ between(e,a,c)
| between(c,d,e)
| between(d,e,a) ),
inference(instantiation,[status(thm)],[c_5578]) ).
cnf(c_6029,plain,
between(c,d,e),
inference(global_subsumption_just,[status(thm)],[c_5578,c_51,c_52,c_5597]) ).
cnf(c_6031,plain,
between(e,d,c),
inference(superposition,[status(thm)],[c_6029,c_4895]) ).
cnf(c_6049,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6031,c_1107,c_53,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO007-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n004.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 01:12:48 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.17/0.41 Running first-order theorem proving
% 0.17/0.41 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
% 4.19/1.09 % SZS status Started for theBenchmark.p
% 4.19/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.09
% 4.19/1.09 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.19/1.09
% 4.19/1.09 ------ iProver source info
% 4.19/1.09
% 4.19/1.09 git: date: 2024-05-02 19:28:25 +0000
% 4.19/1.09 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.19/1.09 git: non_committed_changes: false
% 4.19/1.09
% 4.19/1.09 ------ Parsing...successful
% 4.19/1.09
% 4.19/1.09
% 4.19/1.09
% 4.19/1.09 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.19/1.09
% 4.19/1.09 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.19/1.09
% 4.19/1.09 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.19/1.09 ------ Proving...
% 4.19/1.09 ------ Problem Properties
% 4.19/1.09
% 4.19/1.09
% 4.19/1.09 clauses 25
% 4.19/1.09 conjectures 1
% 4.19/1.09 EPR 16
% 4.19/1.09 Horn 19
% 4.19/1.09 unary 11
% 4.19/1.09 binary 2
% 4.19/1.09 lits 69
% 4.19/1.09 lits eq 9
% 4.19/1.09 fd_pure 0
% 4.19/1.09 fd_pseudo 0
% 4.19/1.09 fd_cond 0
% 4.19/1.09 fd_pseudo_cond 8
% 4.19/1.09 AC symbols 0
% 4.19/1.09
% 4.19/1.09 ------ Schedule dynamic 5 is on
% 4.19/1.09
% 4.19/1.09 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.19/1.09
% 4.19/1.09
% 4.19/1.09 ------
% 4.19/1.09 Current options:
% 4.19/1.09 ------
% 4.19/1.09
% 4.19/1.09
% 4.19/1.09
% 4.19/1.09
% 4.19/1.09 ------ Proving...
% 4.19/1.09
% 4.19/1.09
% 4.19/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.09
% 4.19/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/1.09
% 4.19/1.09
%------------------------------------------------------------------------------