TSTP Solution File: HEN008-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : HEN008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 : Fri May 3 02:25:20 EDT 2024
% Result : Unsatisfiable 3.22s 1.16s
% Output : CNFRefutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 16 unt; 0 nHn; 23 RR)
% Number of literals : 49 ( 18 equ; 22 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 : 40 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLEb) ).
cnf(c_50,plain,
quotient(a,c,aQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aQc) ).
cnf(c_51,plain,
quotient(b,c,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bQc) ).
cnf(c_52,negated_conjecture,
~ less_equal(aQc,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aQcLEbQc) ).
cnf(c_53,plain,
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(c_54,plain,
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(c_56,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_57,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(c_58,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_68,plain,
divide(a,c) = aQc,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_69,plain,
divide(b,c) = bQc,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_70,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_71,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_74,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_56]) ).
cnf(c_178,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(unflattening,[status(thm)],[c_74]) ).
cnf(c_186,plain,
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
cnf(c_187,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(renaming,[status(thm)],[c_186]) ).
cnf(c_188,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(prop_impl_just,[status(thm)],[c_70]) ).
cnf(c_440,plain,
divide(a,b) = zero,
inference(superposition,[status(thm)],[c_49,c_188]) ).
cnf(c_441,plain,
divide(zero,X0) = zero,
inference(superposition,[status(thm)],[c_57,c_188]) ).
cnf(c_457,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_57,c_58]) ).
cnf(c_476,plain,
( divide(aQc,bQc) != zero
| less_equal(aQc,bQc) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_485,plain,
less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[status(thm)],[c_440,c_178]) ).
cnf(c_486,plain,
less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(light_normalisation,[status(thm)],[c_485,c_441]) ).
cnf(c_602,plain,
less_equal(divide(divide(a,c),bQc),zero),
inference(superposition,[status(thm)],[c_69,c_486]) ).
cnf(c_607,plain,
less_equal(divide(aQc,bQc),zero),
inference(light_normalisation,[status(thm)],[c_602,c_68]) ).
cnf(c_621,plain,
divide(aQc,bQc) = zero,
inference(superposition,[status(thm)],[c_607,c_457]) ).
cnf(c_623,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_621,c_476,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n023.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 May 2 18:56:24 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.22/1.16 % SZS status Started for theBenchmark.p
% 3.22/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.22/1.16
% 3.22/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.22/1.16
% 3.22/1.16 ------ iProver source info
% 3.22/1.16
% 3.22/1.16 git: date: 2024-05-02 19:28:25 +0000
% 3.22/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.22/1.16 git: non_committed_changes: false
% 3.22/1.16
% 3.22/1.16 ------ Parsing...successful
% 3.22/1.16
% 3.22/1.16
% 3.22/1.16
% 3.22/1.16 ------ 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
% 3.22/1.16
% 3.22/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.22/1.16
% 3.22/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.22/1.16 ------ Proving...
% 3.22/1.16 ------ Problem Properties
% 3.22/1.16
% 3.22/1.16
% 3.22/1.16 clauses 11
% 3.22/1.16 conjectures 1
% 3.22/1.16 EPR 5
% 3.22/1.16 Horn 11
% 3.22/1.16 unary 8
% 3.22/1.16 binary 2
% 3.22/1.16 lits 15
% 3.22/1.16 lits eq 5
% 3.22/1.16 fd_pure 0
% 3.22/1.16 fd_pseudo 0
% 3.22/1.16 fd_cond 0
% 3.22/1.16 fd_pseudo_cond 1
% 3.22/1.16 AC symbols 0
% 3.22/1.16
% 3.22/1.16 ------ Schedule dynamic 5 is on
% 3.22/1.16
% 3.22/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.22/1.16
% 3.22/1.16
% 3.22/1.16 ------
% 3.22/1.16 Current options:
% 3.22/1.16 ------
% 3.22/1.16
% 3.22/1.16
% 3.22/1.16
% 3.22/1.16
% 3.22/1.16 ------ Proving...
% 3.22/1.16
% 3.22/1.16
% 3.22/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.22/1.16
% 3.22/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.22/1.16
% 3.22/1.16
%------------------------------------------------------------------------------