TSTP Solution File: HEN008-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN008-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 01:55:59 EDT 2023
% Result : Unsatisfiable 3.47s 1.17s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 18 unt; 0 nHn; 22 RR)
% Number of literals : 56 ( 18 equ; 25 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 : 50 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
quotient(zero,X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(c_53,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(c_56,plain,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLEb) ).
cnf(c_57,plain,
quotient(a,c,aQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aQc) ).
cnf(c_58,plain,
quotient(b,c,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bQc) ).
cnf(c_59,negated_conjecture,
~ less_equal(aQc,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aQcLEbQc) ).
cnf(c_60,plain,
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(c_61,plain,
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(c_63,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/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(c_64,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(c_65,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(c_77,plain,
divide(zero,X0) = zero,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_84,plain,
divide(a,c) = aQc,
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_85,plain,
divide(b,c) = bQc,
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_86,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(well_definedness,[status(thm)],[c_60]) ).
cnf(c_87,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_90,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_63]) ).
cnf(c_252,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(unflattening,[status(thm)],[c_90]) ).
cnf(c_261,plain,
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
inference(prop_impl_just,[status(thm)],[c_87]) ).
cnf(c_262,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(renaming,[status(thm)],[c_261]) ).
cnf(c_263,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
cnf(c_660,plain,
divide(a,b) = zero,
inference(superposition,[status(thm)],[c_56,c_263]) ).
cnf(c_729,plain,
( divide(aQc,bQc) != zero
| less_equal(aQc,bQc) ),
inference(instantiation,[status(thm)],[c_262]) ).
cnf(c_831,plain,
less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[status(thm)],[c_660,c_252]) ).
cnf(c_838,plain,
less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(light_normalisation,[status(thm)],[c_831,c_77]) ).
cnf(c_954,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_64,c_65]) ).
cnf(c_2550,plain,
( ~ less_equal(zero,X0)
| less_equal(divide(divide(a,X1),divide(b,X1)),X0) ),
inference(superposition,[status(thm)],[c_838,c_53]) ).
cnf(c_2557,plain,
less_equal(divide(divide(a,X0),divide(b,X0)),X1),
inference(forward_subsumption_resolution,[status(thm)],[c_2550,c_64]) ).
cnf(c_4081,plain,
less_equal(divide(divide(a,c),bQc),X0),
inference(superposition,[status(thm)],[c_85,c_2557]) ).
cnf(c_4089,plain,
less_equal(divide(aQc,bQc),X0),
inference(light_normalisation,[status(thm)],[c_4081,c_84]) ).
cnf(c_4337,plain,
divide(aQc,bQc) = zero,
inference(superposition,[status(thm)],[c_4089,c_954]) ).
cnf(c_4344,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4337,c_729,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HEN008-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 13:38:46 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.47/1.17 % SZS status Started for theBenchmark.p
% 3.47/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.47/1.17
% 3.47/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.47/1.17
% 3.47/1.17 ------ iProver source info
% 3.47/1.17
% 3.47/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.47/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.47/1.17 git: non_committed_changes: false
% 3.47/1.17 git: last_make_outside_of_git: false
% 3.47/1.17
% 3.47/1.17 ------ Parsing...successful
% 3.47/1.17
% 3.47/1.17
% 3.47/1.17
% 3.47/1.17 ------ Preprocessing... sup_sim: 6 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
% 3.47/1.17
% 3.47/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.47/1.17
% 3.47/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.47/1.17 ------ Proving...
% 3.47/1.17 ------ Problem Properties
% 3.47/1.17
% 3.47/1.17
% 3.47/1.17 clauses 18
% 3.47/1.17 conjectures 1
% 3.47/1.17 EPR 6
% 3.47/1.17 Horn 18
% 3.47/1.17 unary 12
% 3.47/1.17 binary 4
% 3.47/1.17 lits 26
% 3.47/1.17 lits eq 9
% 3.47/1.17 fd_pure 0
% 3.47/1.17 fd_pseudo 0
% 3.47/1.17 fd_cond 0
% 3.47/1.17 fd_pseudo_cond 1
% 3.47/1.17 AC symbols 0
% 3.47/1.17
% 3.47/1.17 ------ Schedule dynamic 5 is on
% 3.47/1.17
% 3.47/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.47/1.17
% 3.47/1.17
% 3.47/1.17 ------
% 3.47/1.17 Current options:
% 3.47/1.17 ------
% 3.47/1.17
% 3.47/1.17
% 3.47/1.17
% 3.47/1.17
% 3.47/1.17 ------ Proving...
% 3.47/1.17
% 3.47/1.17
% 3.47/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.47/1.17
% 3.47/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.47/1.17
% 3.47/1.17
%------------------------------------------------------------------------------