TSTP Solution File: GEO006-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 3.79s 1.20s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 14 unt; 5 nHn; 26 RR)
% Number of literals : 59 ( 12 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 46 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
cnf(c_51,plain,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_d) ).
cnf(c_52,plain,
between(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_d) ).
cnf(c_53,negated_conjecture,
( between(a,d,c)
| between(c,a,d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_not_between_others) ).
cnf(c_54,plain,
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO001-0.ax',transitivity_for_betweeness) ).
cnf(c_58,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
cnf(c_66,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(c_67,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
cnf(c_347,negated_conjecture,
( between(a,d,c)
| between(c,a,d) ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_700,plain,
extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_67,c_58]) ).
cnf(c_702,plain,
between(X0,X1,X1),
inference(superposition,[status(thm)],[c_700,c_66]) ).
cnf(c_714,plain,
( ~ between(a,X0,d)
| between(c,a,X0)
| between(a,d,c) ),
inference(superposition,[status(thm)],[c_347,c_55]) ).
cnf(c_734,plain,
( between(a,d,c)
| between(c,a,c) ),
inference(superposition,[status(thm)],[c_52,c_714]) ).
cnf(c_742,plain,
( a = c
| between(a,d,c) ),
inference(superposition,[status(thm)],[c_734,c_54]) ).
cnf(c_744,plain,
between(a,d,c),
inference(forward_subsumption_resolution,[status(thm)],[c_742,c_49]) ).
cnf(c_821,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_920,plain,
( ~ between(c,d,c)
| c = d ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1444,plain,
( ~ between(c,d,X0)
| ~ between(d,c,X0)
| between(c,d,c) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1445,plain,
( ~ between(c,d,a)
| ~ between(d,c,a)
| between(c,d,c) ),
inference(instantiation,[status(thm)],[c_1444]) ).
cnf(c_4336,plain,
( ~ between(a,d,X0)
| outer_pasch(c,a,a,X0,d) = a ),
inference(superposition,[status(thm)],[c_52,c_821]) ).
cnf(c_4337,plain,
( ~ between(a,c,X0)
| outer_pasch(d,a,a,X0,c) = a ),
inference(superposition,[status(thm)],[c_744,c_821]) ).
cnf(c_4605,plain,
outer_pasch(c,a,a,extension(a,d,X0,X1),d) = a,
inference(superposition,[status(thm)],[c_66,c_4336]) ).
cnf(c_4764,plain,
outer_pasch(d,a,a,c,c) = a,
inference(superposition,[status(thm)],[c_702,c_4337]) ).
cnf(c_4930,plain,
( ~ between(a,c,c)
| ~ between(a,d,c)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_4764,c_61]) ).
cnf(c_4935,plain,
between(c,d,a),
inference(forward_subsumption_resolution,[status(thm)],[c_4930,c_744,c_702]) ).
cnf(c_5076,plain,
( ~ between(a,d,extension(a,d,X0,X1))
| ~ between(a,c,d)
| between(extension(a,d,X0,X1),c,a) ),
inference(superposition,[status(thm)],[c_4605,c_61]) ).
cnf(c_5082,plain,
between(extension(a,d,X0,X1),c,a),
inference(forward_subsumption_resolution,[status(thm)],[c_5076,c_52,c_66]) ).
cnf(c_5089,plain,
between(d,c,a),
inference(superposition,[status(thm)],[c_700,c_5082]) ).
cnf(c_5099,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5089,c_4935,c_1445,c_920,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 01:08:16 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 3.79/1.20 % SZS status Started for theBenchmark.p
% 3.79/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.20
% 3.79/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.79/1.20
% 3.79/1.20 ------ iProver source info
% 3.79/1.20
% 3.79/1.20 git: date: 2024-05-02 19:28:25 +0000
% 3.79/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.79/1.20 git: non_committed_changes: false
% 3.79/1.20
% 3.79/1.20 ------ Parsing...successful
% 3.79/1.20
% 3.79/1.20
% 3.79/1.20
% 3.79/1.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.79/1.20
% 3.79/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.79/1.20
% 3.79/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.79/1.20 ------ Proving...
% 3.79/1.20 ------ Problem Properties
% 3.79/1.20
% 3.79/1.20
% 3.79/1.20 clauses 25
% 3.79/1.20 conjectures 1
% 3.79/1.20 EPR 16
% 3.79/1.20 Horn 18
% 3.79/1.20 unary 10
% 3.79/1.20 binary 3
% 3.79/1.20 lits 70
% 3.79/1.20 lits eq 11
% 3.79/1.20 fd_pure 0
% 3.79/1.20 fd_pseudo 0
% 3.79/1.20 fd_cond 0
% 3.79/1.20 fd_pseudo_cond 8
% 3.79/1.20 AC symbols 0
% 3.79/1.20
% 3.79/1.20 ------ Schedule dynamic 5 is on
% 3.79/1.20
% 3.79/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.79/1.20
% 3.79/1.20
% 3.79/1.20 ------
% 3.79/1.20 Current options:
% 3.79/1.20 ------
% 3.79/1.20
% 3.79/1.20
% 3.79/1.20
% 3.79/1.20
% 3.79/1.20 ------ Proving...
% 3.79/1.20
% 3.79/1.20
% 3.79/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.20
% 3.79/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.20
% 3.79/1.20
%------------------------------------------------------------------------------