TSTP Solution File: HEN009-4 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Thu Aug 31 01:56:00 EDT 2023
% Result : Unsatisfiable 2.46s 1.03s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 6 unt; 0 nHn; 16 RR)
% Number of literals : 36 ( 7 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
divide(X0,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(c_54,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(c_55,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),divide(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
cnf(c_56,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),divide(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
cnf(c_57,negated_conjecture,
divide(identity,divide(identity,divide(identity,a))) != divide(identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_59,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_63,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(c_64,plain,
less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',identity_is_largest) ).
cnf(c_624,plain,
( ~ less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))
| ~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a))))
| divide(identity,divide(identity,divide(identity,a))) = divide(identity,a) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_651,plain,
( ~ less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,a)))
| less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_773,plain,
( divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))) != zero
| less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1075,plain,
( ~ less_equal(X0,a)
| less_equal(divide(identity,a),divide(identity,X0)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1079,plain,
( ~ less_equal(identity,X0)
| less_equal(divide(identity,a),divide(X0,a)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1643,plain,
divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))) = zero,
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1687,plain,
less_equal(identity,identity),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_2481,plain,
( ~ less_equal(divide(X0,X1),divide(identity,a))
| less_equal(divide(X0,divide(identity,a)),X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2931,plain,
( ~ less_equal(identity,identity)
| less_equal(divide(identity,a),divide(identity,a)) ),
inference(instantiation,[status(thm)],[c_1079]) ).
cnf(c_3014,plain,
( ~ less_equal(divide(identity,divide(identity,a)),a)
| less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) ),
inference(instantiation,[status(thm)],[c_1075]) ).
cnf(c_4699,plain,
( ~ less_equal(divide(identity,a),divide(identity,a))
| less_equal(divide(identity,divide(identity,a)),a) ),
inference(instantiation,[status(thm)],[c_2481]) ).
cnf(c_4701,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4699,c_3014,c_2931,c_1687,c_1643,c_773,c_651,c_624,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Thu Aug 24 13:32:12 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.16/0.39 Running first-order theorem proving
% 0.16/0.39 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.46/1.03 % SZS status Started for theBenchmark.p
% 2.46/1.03 % SZS status Unsatisfiable for theBenchmark.p
% 2.46/1.03
% 2.46/1.03 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.46/1.03
% 2.46/1.03 ------ iProver source info
% 2.46/1.03
% 2.46/1.03 git: date: 2023-05-31 18:12:56 +0000
% 2.46/1.03 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.46/1.03 git: non_committed_changes: false
% 2.46/1.03 git: last_make_outside_of_git: false
% 2.46/1.03
% 2.46/1.03 ------ Parsing...successful
% 2.46/1.03
% 2.46/1.03
% 2.46/1.03
% 2.46/1.03 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.46/1.03
% 2.46/1.03 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.46/1.03
% 2.46/1.03 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.46/1.03 ------ Proving...
% 2.46/1.03 ------ Problem Properties
% 2.46/1.03
% 2.46/1.03
% 2.46/1.03 clauses 16
% 2.46/1.03 conjectures 1
% 2.46/1.03 EPR 4
% 2.46/1.03 Horn 16
% 2.46/1.03 unary 9
% 2.46/1.03 binary 5
% 2.46/1.03 lits 25
% 2.46/1.03 lits eq 8
% 2.46/1.03 fd_pure 0
% 2.46/1.03 fd_pseudo 0
% 2.46/1.03 fd_cond 0
% 2.46/1.03 fd_pseudo_cond 1
% 2.46/1.03 AC symbols 0
% 2.46/1.03
% 2.46/1.03 ------ Schedule dynamic 5 is on
% 2.46/1.03
% 2.46/1.03 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.46/1.03
% 2.46/1.03
% 2.46/1.03 ------
% 2.46/1.03 Current options:
% 2.46/1.03 ------
% 2.46/1.03
% 2.46/1.03
% 2.46/1.03
% 2.46/1.03
% 2.46/1.03 ------ Proving...
% 2.46/1.03
% 2.46/1.03
% 2.46/1.03 % SZS status Unsatisfiable for theBenchmark.p
% 2.46/1.03
% 2.46/1.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.46/1.03
% 2.46/1.03
%------------------------------------------------------------------------------