TSTP Solution File: HEN007-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 01:55:57 EDT 2023
% Result : Unsatisfiable 0.48s 1.16s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 13 unt; 0 nHn; 20 RR)
% Number of literals : 42 ( 8 equ; 18 neg)
% Maximal clause size : 4 ( 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 : 40 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,plain,
quotient(X0,zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
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(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| ~ less_equal(X2,X3)
| less_equal(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
cnf(c_55,plain,
less_equal(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy) ).
cnf(c_56,plain,
quotient(z,y,zQy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQy) ).
cnf(c_57,plain,
quotient(z,x,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQx) ).
cnf(c_58,negated_conjecture,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zQyLEzQx) ).
cnf(c_61,plain,
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(c_78,plain,
divide(X0,zero) = X0,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_79,plain,
( divide(X0,X1) != X2
| divide(X0,X3) != X4
| ~ less_equal(X2,X3)
| less_equal(X4,X1) ),
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_81,plain,
divide(z,y) = zQy,
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_82,plain,
divide(z,x) = zQx,
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_85,plain,
( divide(X0,X1) != X2
| less_equal(X2,X0) ),
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_97,plain,
( less_equal(X2,X0)
| divide(X0,X1) != X2 ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_98,plain,
( divide(X0,X1) != X2
| less_equal(X2,X0) ),
inference(renaming,[status(thm)],[c_97]) ).
cnf(c_209,plain,
less_equal(divide(X0,X1),X0),
inference(unflattening,[status(thm)],[c_98]) ).
cnf(c_229,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_246,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
inference(prop_impl_just,[status(thm)],[c_229]) ).
cnf(c_678,plain,
less_equal(X0,X0),
inference(superposition,[status(thm)],[c_78,c_209]) ).
cnf(c_697,plain,
less_equal(divide(X0,divide(X0,X1)),X1),
inference(superposition,[status(thm)],[c_678,c_246]) ).
cnf(c_904,plain,
less_equal(divide(z,zQx),x),
inference(superposition,[status(thm)],[c_82,c_697]) ).
cnf(c_959,plain,
( ~ less_equal(x,X0)
| less_equal(divide(z,zQx),X0) ),
inference(superposition,[status(thm)],[c_904,c_53]) ).
cnf(c_2064,plain,
( ~ less_equal(x,X0)
| less_equal(divide(z,X0),zQx) ),
inference(superposition,[status(thm)],[c_959,c_246]) ).
cnf(c_3235,plain,
( ~ less_equal(x,y)
| less_equal(zQy,zQx) ),
inference(superposition,[status(thm)],[c_81,c_2064]) ).
cnf(c_3241,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3235,c_58,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 13:23:24 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.16 % SZS status Started for theBenchmark.p
% 0.48/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.16
% 0.48/1.16 ------ iProver source info
% 0.48/1.16
% 0.48/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.16 git: non_committed_changes: false
% 0.48/1.16 git: last_make_outside_of_git: false
% 0.48/1.16
% 0.48/1.16 ------ Parsing...successful
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sup_sim: 5 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
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.16 ------ Proving...
% 0.48/1.16 ------ Problem Properties
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 clauses 17
% 0.48/1.16 conjectures 1
% 0.48/1.16 EPR 6
% 0.48/1.16 Horn 17
% 0.48/1.16 unary 12
% 0.48/1.16 binary 3
% 0.48/1.16 lits 24
% 0.48/1.16 lits eq 9
% 0.48/1.16 fd_pure 0
% 0.48/1.16 fd_pseudo 0
% 0.48/1.16 fd_cond 0
% 0.48/1.16 fd_pseudo_cond 1
% 0.48/1.16 AC symbols 0
% 0.48/1.16
% 0.48/1.16 ------ Schedule dynamic 5 is on
% 0.48/1.16
% 0.48/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------
% 0.48/1.16 Current options:
% 0.48/1.16 ------
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------ Proving...
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17
% 0.48/1.17
%------------------------------------------------------------------------------