TSTP Solution File: HEN011-4 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 01:56:04 EDT 2023
% Result : Unsatisfiable 6.84s 1.72s
% Output : CNFRefutation 6.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 21 unt; 0 nHn; 15 RR)
% Number of literals : 48 ( 17 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 5 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_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,plain,
divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
cnf(c_59,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_60,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c_61,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_62,plain,
less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c_63,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(c_64,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(c_65,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_475,plain,
divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_62,c_60]) ).
cnf(c_485,plain,
less_equal(X0,X0),
inference(superposition,[status(thm)],[c_51,c_61]) ).
cnf(c_530,plain,
less_equal(divide(X0,divide(X0,X1)),X1),
inference(superposition,[status(thm)],[c_485,c_54]) ).
cnf(c_546,plain,
divide(divide(X0,divide(X0,X1)),X1) = zero,
inference(superposition,[status(thm)],[c_530,c_60]) ).
cnf(c_683,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,divide(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
cnf(c_736,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_64,c_65]) ).
cnf(c_957,plain,
divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_530,c_736]) ).
cnf(c_1042,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_957,c_61]) ).
cnf(c_1072,plain,
( ~ less_equal(divide(X0,zero),X0)
| divide(X0,zero) = X0 ),
inference(superposition,[status(thm)],[c_1042,c_65]) ).
cnf(c_1082,plain,
divide(X0,zero) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_1072,c_62]) ).
cnf(c_2597,plain,
( ~ less_equal(X0,divide(X1,X2))
| less_equal(divide(X0,zero),X1) ),
inference(superposition,[status(thm)],[c_475,c_683]) ).
cnf(c_2599,plain,
( ~ less_equal(X0,divide(X1,divide(X1,X2)))
| less_equal(divide(X0,zero),X2) ),
inference(superposition,[status(thm)],[c_546,c_683]) ).
cnf(c_2617,plain,
( ~ less_equal(X0,divide(X1,X2))
| less_equal(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_2597,c_1082]) ).
cnf(c_2625,plain,
( ~ less_equal(X0,divide(X1,divide(X1,X2)))
| less_equal(X0,X2) ),
inference(light_normalisation,[status(thm)],[c_2599,c_1082]) ).
cnf(c_2659,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(X0,X2)),
inference(superposition,[status(thm)],[c_63,c_2617]) ).
cnf(c_6188,plain,
less_equal(divide(divide(X0,X1),divide(divide(X0,X2),X1)),X2),
inference(superposition,[status(thm)],[c_2659,c_2625]) ).
cnf(c_11965,plain,
less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)),
inference(superposition,[status(thm)],[c_6188,c_54]) ).
cnf(c_13086,plain,
( ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1))
| divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_11965,c_65]) ).
cnf(c_13162,plain,
divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1),
inference(forward_subsumption_resolution,[status(thm)],[c_13086,c_11965]) ).
cnf(c_27372,plain,
divide(divide(identity,X0),divide(identity,divide(identity,X1))) = divide(divide(identity,X1),X0),
inference(superposition,[status(thm)],[c_57,c_13162]) ).
cnf(c_28022,plain,
divide(divide(identity,b),divide(identity,divide(identity,a))) != divide(divide(identity,b),a),
inference(demodulation,[status(thm)],[c_59,c_27372]) ).
cnf(c_30600,plain,
divide(divide(identity,a),b) != divide(divide(identity,a),b),
inference(demodulation,[status(thm)],[c_28022,c_13162,c_27372]) ).
cnf(c_30601,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_30600]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HEN011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.14/0.15 % Command : run_iprover %s %d THM
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 24 13:25:53 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.84/1.72 % SZS status Started for theBenchmark.p
% 6.84/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 6.84/1.72
% 6.84/1.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.84/1.72
% 6.84/1.72 ------ iProver source info
% 6.84/1.72
% 6.84/1.72 git: date: 2023-05-31 18:12:56 +0000
% 6.84/1.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.84/1.72 git: non_committed_changes: false
% 6.84/1.72 git: last_make_outside_of_git: false
% 6.84/1.72
% 6.84/1.72 ------ Parsing...successful
% 6.84/1.72
% 6.84/1.72
% 6.84/1.72
% 6.84/1.72 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 6.84/1.72
% 6.84/1.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.84/1.72
% 6.84/1.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.84/1.72 ------ Proving...
% 6.84/1.72 ------ Problem Properties
% 6.84/1.72
% 6.84/1.72
% 6.84/1.72 clauses 18
% 6.84/1.72 conjectures 1
% 6.84/1.72 EPR 4
% 6.84/1.72 Horn 18
% 6.84/1.72 unary 11
% 6.84/1.72 binary 5
% 6.84/1.72 lits 27
% 6.84/1.72 lits eq 10
% 6.84/1.72 fd_pure 0
% 6.84/1.72 fd_pseudo 0
% 6.84/1.72 fd_cond 0
% 6.84/1.72 fd_pseudo_cond 1
% 6.84/1.72 AC symbols 0
% 6.84/1.72
% 6.84/1.72 ------ Schedule dynamic 5 is on
% 6.84/1.72
% 6.84/1.72 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.84/1.72
% 6.84/1.72
% 6.84/1.72 ------
% 6.84/1.72 Current options:
% 6.84/1.72 ------
% 6.84/1.72
% 6.84/1.72
% 6.84/1.72
% 6.84/1.72
% 6.84/1.72 ------ Proving...
% 6.84/1.72
% 6.84/1.72
% 6.84/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 6.84/1.72
% 6.84/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.84/1.72
% 6.84/1.72
%------------------------------------------------------------------------------