TSTP Solution File: GEO007-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO007-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 23:08:42 EDT 2023
% Result : Unsatisfiable 3.89s 1.17s
% Output : CNFRefutation 3.89s
% 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_685,plain,
extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_67,c_58]) ).
cnf(c_687,plain,
between(X0,X1,X1),
inference(superposition,[status(thm)],[c_685,c_66]) ).
cnf(c_701,plain,
( ~ between(X0,X1,X0)
| between(X2,X0,X1) ),
inference(superposition,[status(thm)],[c_687,c_55]) ).
cnf(c_800,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_701]) ).
cnf(c_801,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_843,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_878,plain,
( ~ between(d,a,X0)
| ~ between(e,d,X0)
| between(e,d,a) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1106,plain,
( ~ between(d,a,c)
| ~ between(e,d,c)
| between(e,d,a) ),
inference(instantiation,[status(thm)],[c_878]) ).
cnf(c_2622,plain,
( ~ between(d,c,X0)
| outer_pasch(a,d,d,X0,c) = d ),
inference(superposition,[status(thm)],[c_50,c_801]) ).
cnf(c_2623,plain,
( ~ between(e,c,X0)
| outer_pasch(a,e,e,X0,c) = e ),
inference(superposition,[status(thm)],[c_51,c_801]) ).
cnf(c_2718,plain,
outer_pasch(a,d,d,c,c) = d,
inference(superposition,[status(thm)],[c_687,c_2622]) ).
cnf(c_2762,plain,
( ~ between(d,a,c)
| ~ between(d,c,c)
| between(c,a,d) ),
inference(superposition,[status(thm)],[c_2718,c_61]) ).
cnf(c_2766,plain,
between(c,a,d),
inference(forward_subsumption_resolution,[status(thm)],[c_2762,c_687,c_50]) ).
cnf(c_2773,plain,
( ~ between(c,a,X0)
| a = c
| between(c,X0,d)
| between(c,d,X0) ),
inference(superposition,[status(thm)],[c_2766,c_56]) ).
cnf(c_2779,plain,
( ~ between(c,a,X0)
| between(c,X0,d)
| between(c,d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2773,c_49]) ).
cnf(c_2964,plain,
outer_pasch(a,e,e,c,c) = e,
inference(superposition,[status(thm)],[c_687,c_2623]) ).
cnf(c_2985,plain,
( ~ between(e,a,c)
| ~ between(e,c,c)
| between(c,a,e) ),
inference(superposition,[status(thm)],[c_2964,c_61]) ).
cnf(c_2989,plain,
between(c,a,e),
inference(forward_subsumption_resolution,[status(thm)],[c_2985,c_687,c_51]) ).
cnf(c_3006,plain,
( between(c,d,e)
| between(c,e,d) ),
inference(superposition,[status(thm)],[c_2989,c_2779]) ).
cnf(c_4229,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X3,X1,X0) ),
inference(superposition,[status(thm)],[c_800,c_843]) ).
cnf(c_4894,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_687,c_4229]) ).
cnf(c_5458,plain,
( between(c,d,e)
| between(d,e,c) ),
inference(superposition,[status(thm)],[c_3006,c_4894]) ).
cnf(c_5577,plain,
( ~ between(e,X0,c)
| between(d,e,X0)
| between(c,d,e) ),
inference(superposition,[status(thm)],[c_5458,c_55]) ).
cnf(c_5596,plain,
( ~ between(e,a,c)
| between(c,d,e)
| between(d,e,a) ),
inference(instantiation,[status(thm)],[c_5577]) ).
cnf(c_6028,plain,
between(c,d,e),
inference(global_subsumption_just,[status(thm)],[c_5577,c_51,c_52,c_5596]) ).
cnf(c_6030,plain,
between(e,d,c),
inference(superposition,[status(thm)],[c_6028,c_4894]) ).
cnf(c_6048,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6030,c_1106,c_53,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO007-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 21:27:26 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.89/1.17 % SZS status Started for theBenchmark.p
% 3.89/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.17
% 3.89/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.89/1.17
% 3.89/1.17 ------ iProver source info
% 3.89/1.17
% 3.89/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.89/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.89/1.17 git: non_committed_changes: false
% 3.89/1.17 git: last_make_outside_of_git: false
% 3.89/1.17
% 3.89/1.17 ------ Parsing...successful
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.89/1.17
% 3.89/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.89/1.17 ------ Proving...
% 3.89/1.17 ------ Problem Properties
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 clauses 25
% 3.89/1.17 conjectures 1
% 3.89/1.17 EPR 16
% 3.89/1.17 Horn 19
% 3.89/1.17 unary 11
% 3.89/1.17 binary 2
% 3.89/1.17 lits 69
% 3.89/1.17 lits eq 9
% 3.89/1.17 fd_pure 0
% 3.89/1.17 fd_pseudo 0
% 3.89/1.17 fd_cond 0
% 3.89/1.17 fd_pseudo_cond 8
% 3.89/1.17 AC symbols 0
% 3.89/1.17
% 3.89/1.17 ------ Schedule dynamic 5 is on
% 3.89/1.17
% 3.89/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------
% 3.89/1.17 Current options:
% 3.89/1.17 ------
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 ------ Proving...
% 3.89/1.17
% 3.89/1.17
% 3.89/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.17
% 3.89/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.17
% 3.89/1.17
%------------------------------------------------------------------------------