TSTP Solution File: HEN006-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 01:55:56 EDT 2023
% Result : Unsatisfiable 0.56s 1.14s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 24 unt; 0 nHn; 15 RR)
% Number of literals : 37 ( 15 equ; 8 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 : 32 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
divide(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(c_51,plain,
divide(X0,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(c_52,plain,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_LE_d) ).
cnf(c_53,negated_conjecture,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_divide_d_LE_b) ).
cnf(c_54,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c_55,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_56,plain,
less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c_57,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(c_58,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(c_59,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(c_320,plain,
divide(divide(a,b),d) = zero,
inference(superposition,[status(thm)],[c_52,c_54]) ).
cnf(c_321,plain,
divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_56,c_54]) ).
cnf(c_340,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_58,c_59]) ).
cnf(c_356,plain,
less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(superposition,[status(thm)],[c_50,c_57]) ).
cnf(c_384,plain,
( divide(divide(a,d),b) != zero
| less_equal(divide(a,d),b) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_394,plain,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference(superposition,[status(thm)],[c_320,c_57]) ).
cnf(c_412,plain,
less_equal(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)),
inference(superposition,[status(thm)],[c_321,c_57]) ).
cnf(c_444,plain,
divide(divide(a,d),divide(b,d)) = zero,
inference(superposition,[status(thm)],[c_394,c_340]) ).
cnf(c_475,plain,
less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[status(thm)],[c_51,c_356]) ).
cnf(c_550,plain,
divide(divide(X0,divide(X0,zero)),zero) = zero,
inference(superposition,[status(thm)],[c_475,c_340]) ).
cnf(c_563,plain,
less_equal(divide(X0,divide(X0,zero)),zero),
inference(superposition,[status(thm)],[c_550,c_55]) ).
cnf(c_584,plain,
divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_563,c_340]) ).
cnf(c_592,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_584,c_55]) ).
cnf(c_651,plain,
( ~ less_equal(divide(X0,zero),X0)
| divide(X0,zero) = X0 ),
inference(superposition,[status(thm)],[c_592,c_59]) ).
cnf(c_655,plain,
divide(X0,zero) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_651,c_56]) ).
cnf(c_1245,plain,
less_equal(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)),
inference(demodulation,[status(thm)],[c_412,c_655]) ).
cnf(c_1268,plain,
less_equal(divide(divide(a,d),b),divide(zero,b)),
inference(superposition,[status(thm)],[c_444,c_1245]) ).
cnf(c_1377,plain,
less_equal(divide(divide(a,d),b),zero),
inference(demodulation,[status(thm)],[c_1268,c_50]) ).
cnf(c_1380,plain,
divide(divide(a,d),b) = zero,
inference(superposition,[status(thm)],[c_1377,c_340]) ).
cnf(c_1382,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1380,c_384,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 24 13:26:10 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.56/1.14 % SZS status Started for theBenchmark.p
% 0.56/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.56/1.14
% 0.56/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.56/1.14
% 0.56/1.14 ------ iProver source info
% 0.56/1.14
% 0.56/1.14 git: date: 2023-05-31 18:12:56 +0000
% 0.56/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.56/1.14 git: non_committed_changes: false
% 0.56/1.14 git: last_make_outside_of_git: false
% 0.56/1.14
% 0.56/1.14 ------ Parsing...successful
% 0.56/1.14
% 0.56/1.14
% 0.56/1.14
% 0.56/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.56/1.14
% 0.56/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.56/1.14
% 0.56/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.56/1.14 ------ Proving...
% 0.56/1.14 ------ Problem Properties
% 0.56/1.14
% 0.56/1.14
% 0.56/1.14 clauses 12
% 0.56/1.14 conjectures 1
% 0.56/1.14 EPR 3
% 0.56/1.14 Horn 12
% 0.56/1.14 unary 9
% 0.56/1.14 binary 2
% 0.56/1.14 lits 16
% 0.56/1.14 lits eq 6
% 0.56/1.14 fd_pure 0
% 0.56/1.14 fd_pseudo 0
% 0.56/1.14 fd_cond 0
% 0.56/1.14 fd_pseudo_cond 1
% 0.56/1.14 AC symbols 0
% 0.56/1.14
% 0.56/1.14 ------ Schedule dynamic 5 is on
% 0.56/1.14
% 0.56/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.56/1.14
% 0.56/1.14
% 0.56/1.14 ------
% 0.56/1.14 Current options:
% 0.56/1.14 ------
% 0.56/1.14
% 0.56/1.14
% 0.56/1.14
% 0.56/1.14
% 0.56/1.14 ------ Proving...
% 0.56/1.14
% 0.56/1.14
% 0.56/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.56/1.14
% 0.56/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.56/1.14
% 0.56/1.14
%------------------------------------------------------------------------------