TSTP Solution File: HEN006-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : HEN006-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Mon Jun 24 07:27:27 EDT 2024
% Result : Unsatisfiable 4.05s 1.21s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 37 ( 19 unt; 0 nHn; 32 RR)
% Number of literals : 65 ( 19 equ; 30 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 58 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_53,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(c_54,plain,
quotient(x,y,xQy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQy) ).
cnf(c_55,plain,
less_equal(xQy,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz) ).
cnf(c_56,plain,
quotient(x,z,xQz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQz) ).
cnf(c_57,negated_conjecture,
~ less_equal(xQz,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xQzLEy) ).
cnf(c_58,plain,
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(c_59,plain,
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(c_60,plain,
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(c_61,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| ~ quotient(X1,X3,X5)
| ~ quotient(X2,X3,X6)
| ~ quotient(X4,X5,X7)
| less_equal(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(c_62,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(c_63,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(c_78,plain,
divide(x,y) = xQy,
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_79,plain,
divide(x,z) = xQz,
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_80,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_81,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_82,plain,
( divide(X0,X1) != X2
| less_equal(X2,X0) ),
inference(well_definedness,[status(thm)],[c_60]) ).
cnf(c_84,plain,
( divide(X0,X1) != X2
| divide(X0,X3) != X4
| divide(X1,X3) != X5
| divide(X2,X3) != X6
| divide(X4,X5) != X7
| less_equal(X7,X6) ),
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_94,plain,
( less_equal(X2,X0)
| divide(X0,X1) != X2 ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
cnf(c_95,plain,
( divide(X0,X1) != X2
| less_equal(X2,X0) ),
inference(renaming,[status(thm)],[c_94]) ).
cnf(c_196,plain,
less_equal(divide(X0,X1),X0),
inference(unflattening,[status(thm)],[c_95]) ).
cnf(c_216,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(unflattening,[status(thm)],[c_84]) ).
cnf(c_224,plain,
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
inference(prop_impl_just,[status(thm)],[c_81]) ).
cnf(c_225,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(renaming,[status(thm)],[c_224]) ).
cnf(c_226,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
cnf(c_317,negated_conjecture,
~ less_equal(xQz,y),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_559,plain,
divide(xQy,z) = zero,
inference(superposition,[status(thm)],[c_55,c_226]) ).
cnf(c_594,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_62,c_63]) ).
cnf(c_632,plain,
less_equal(divide(divide(x,X0),divide(y,X0)),divide(xQy,X0)),
inference(superposition,[status(thm)],[c_78,c_216]) ).
cnf(c_3476,plain,
less_equal(divide(divide(x,z),divide(y,z)),zero),
inference(superposition,[status(thm)],[c_559,c_632]) ).
cnf(c_3486,plain,
less_equal(divide(xQz,divide(y,z)),zero),
inference(light_normalisation,[status(thm)],[c_3476,c_79]) ).
cnf(c_3810,plain,
( ~ less_equal(zero,X0)
| less_equal(divide(xQz,divide(y,z)),X0) ),
inference(superposition,[status(thm)],[c_3486,c_53]) ).
cnf(c_3814,plain,
less_equal(divide(xQz,divide(y,z)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_3810,c_62]) ).
cnf(c_3820,plain,
divide(xQz,divide(y,z)) = zero,
inference(superposition,[status(thm)],[c_3814,c_594]) ).
cnf(c_3843,plain,
less_equal(xQz,divide(y,z)),
inference(superposition,[status(thm)],[c_3820,c_225]) ).
cnf(c_3898,plain,
( ~ less_equal(divide(y,z),X0)
| less_equal(xQz,X0) ),
inference(superposition,[status(thm)],[c_3843,c_53]) ).
cnf(c_3990,plain,
less_equal(xQz,y),
inference(superposition,[status(thm)],[c_196,c_3898]) ).
cnf(c_3994,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3990,c_317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HEN006-2 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Jun 22 05:21:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.05/1.21 % SZS status Started for theBenchmark.p
% 4.05/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.05/1.21
% 4.05/1.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.05/1.21
% 4.05/1.21 ------ iProver source info
% 4.05/1.21
% 4.05/1.21 git: date: 2024-06-12 09:56:46 +0000
% 4.05/1.21 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.05/1.21 git: non_committed_changes: false
% 4.05/1.21
% 4.05/1.21 ------ Parsing...successful
% 4.05/1.21
% 4.05/1.21
% 4.05/1.21
% 4.05/1.21 ------ Preprocessing... sup_sim: 4 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.05/1.21
% 4.05/1.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.05/1.21
% 4.05/1.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.05/1.21 ------ Proving...
% 4.05/1.21 ------ Problem Properties
% 4.05/1.21
% 4.05/1.21
% 4.05/1.21 clauses 16
% 4.05/1.21 conjectures 1
% 4.05/1.21 EPR 6
% 4.05/1.21 Horn 16
% 4.05/1.21 unary 12
% 4.05/1.21 binary 2
% 4.05/1.21 lits 22
% 4.05/1.21 lits eq 9
% 4.05/1.21 fd_pure 0
% 4.05/1.21 fd_pseudo 0
% 4.05/1.21 fd_cond 0
% 4.05/1.21 fd_pseudo_cond 1
% 4.05/1.21 AC symbols 0
% 4.05/1.21
% 4.05/1.21 ------ Schedule dynamic 5 is on
% 4.05/1.21
% 4.05/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.05/1.21
% 4.05/1.21
% 4.05/1.21 ------
% 4.05/1.21 Current options:
% 4.05/1.21 ------
% 4.05/1.21
% 4.05/1.21
% 4.05/1.21
% 4.05/1.21
% 4.05/1.21 ------ Proving...
% 4.05/1.21
% 4.05/1.21
% 4.05/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.05/1.21
% 4.05/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.05/1.21
% 4.05/1.21
%------------------------------------------------------------------------------