TSTP Solution File: HEN006-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN006-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 3.37s 1.16s
% Output : CNFRefutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 18 unt; 0 nHn; 31 RR)
% Number of literals : 64 ( 19 equ; 29 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_558,plain,
divide(xQy,z) = zero,
inference(superposition,[status(thm)],[c_55,c_226]) ).
cnf(c_593,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_62,c_63]) ).
cnf(c_631,plain,
less_equal(divide(divide(x,X0),divide(y,X0)),divide(xQy,X0)),
inference(superposition,[status(thm)],[c_78,c_216]) ).
cnf(c_3511,plain,
less_equal(divide(divide(x,z),divide(y,z)),zero),
inference(superposition,[status(thm)],[c_558,c_631]) ).
cnf(c_3521,plain,
less_equal(divide(xQz,divide(y,z)),zero),
inference(light_normalisation,[status(thm)],[c_3511,c_79]) ).
cnf(c_3844,plain,
( ~ less_equal(zero,X0)
| less_equal(divide(xQz,divide(y,z)),X0) ),
inference(superposition,[status(thm)],[c_3521,c_53]) ).
cnf(c_3848,plain,
less_equal(divide(xQz,divide(y,z)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_3844,c_62]) ).
cnf(c_3860,plain,
divide(xQz,divide(y,z)) = zero,
inference(superposition,[status(thm)],[c_3848,c_593]) ).
cnf(c_3874,plain,
less_equal(xQz,divide(y,z)),
inference(superposition,[status(thm)],[c_3860,c_225]) ).
cnf(c_3941,plain,
( ~ less_equal(divide(y,z),X0)
| less_equal(xQz,X0) ),
inference(superposition,[status(thm)],[c_3874,c_53]) ).
cnf(c_4024,plain,
less_equal(xQz,y),
inference(superposition,[status(thm)],[c_196,c_3941]) ).
cnf(c_4028,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4024,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : HEN006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 13:16:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.37/1.16 % SZS status Started for theBenchmark.p
% 3.37/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.37/1.16
% 3.37/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.37/1.16
% 3.37/1.16 ------ iProver source info
% 3.37/1.16
% 3.37/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.37/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.37/1.16 git: non_committed_changes: false
% 3.37/1.16 git: last_make_outside_of_git: false
% 3.37/1.16
% 3.37/1.16 ------ Parsing...successful
% 3.37/1.16
% 3.37/1.16
% 3.37/1.16
% 3.37/1.16 ------ 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
% 3.37/1.16
% 3.37/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.37/1.16
% 3.37/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.37/1.16 ------ Proving...
% 3.37/1.16 ------ Problem Properties
% 3.37/1.16
% 3.37/1.16
% 3.37/1.16 clauses 16
% 3.37/1.16 conjectures 1
% 3.37/1.16 EPR 6
% 3.37/1.16 Horn 16
% 3.37/1.16 unary 12
% 3.37/1.16 binary 2
% 3.37/1.16 lits 22
% 3.37/1.16 lits eq 9
% 3.37/1.16 fd_pure 0
% 3.37/1.16 fd_pseudo 0
% 3.37/1.16 fd_cond 0
% 3.37/1.16 fd_pseudo_cond 1
% 3.37/1.16 AC symbols 0
% 3.37/1.16
% 3.37/1.16 ------ Schedule dynamic 5 is on
% 3.37/1.16
% 3.37/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.37/1.16
% 3.37/1.16
% 3.37/1.16 ------
% 3.37/1.16 Current options:
% 3.37/1.16 ------
% 3.37/1.16
% 3.37/1.16
% 3.37/1.16
% 3.37/1.16
% 3.37/1.16 ------ Proving...
% 3.37/1.16
% 3.37/1.16
% 3.37/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.37/1.16
% 3.37/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.37/1.16
% 3.37/1.16
%------------------------------------------------------------------------------