TSTP Solution File: HEN008-4 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN008-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 3.45s 1.14s
% Output : CNFRefutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 29 ( 19 unt; 0 nHn; 11 RR)
% Number of literals : 41 ( 10 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
divide(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(c_51,plain,
divide(X0,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_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_54,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(c_56,plain,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
cnf(c_57,negated_conjecture,
~ less_equal(divide(a,c),divide(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_c_LE_b_divide_c) ).
cnf(c_58,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c_59,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_60,plain,
less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c_61,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(c_62,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(c_63,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(c_428,plain,
divide(a,b) = zero,
inference(superposition,[status(thm)],[c_56,c_58]) ).
cnf(c_439,plain,
less_equal(X0,X0),
inference(superposition,[status(thm)],[c_51,c_59]) ).
cnf(c_450,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_60,c_53]) ).
cnf(c_480,plain,
less_equal(divide(X0,divide(X0,X1)),X1),
inference(superposition,[status(thm)],[c_439,c_54]) ).
cnf(c_576,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_450,c_54]) ).
cnf(c_647,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_62,c_63]) ).
cnf(c_713,plain,
less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[status(thm)],[c_428,c_61]) ).
cnf(c_726,plain,
less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(light_normalisation,[status(thm)],[c_713,c_50]) ).
cnf(c_853,plain,
divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_480,c_647]) ).
cnf(c_872,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_853,c_59]) ).
cnf(c_927,plain,
( ~ less_equal(divide(X0,zero),X0)
| divide(X0,zero) = X0 ),
inference(superposition,[status(thm)],[c_872,c_63]) ).
cnf(c_937,plain,
divide(X0,zero) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_927,c_60]) ).
cnf(c_1065,plain,
( ~ less_equal(X0,zero)
| less_equal(X0,X1) ),
inference(superposition,[status(thm)],[c_937,c_576]) ).
cnf(c_1225,plain,
less_equal(divide(divide(a,X0),divide(b,X0)),X1),
inference(superposition,[status(thm)],[c_726,c_1065]) ).
cnf(c_1479,plain,
less_equal(divide(divide(a,X0),X1),divide(b,X0)),
inference(superposition,[status(thm)],[c_1225,c_54]) ).
cnf(c_1672,plain,
less_equal(divide(a,X0),divide(b,X0)),
inference(superposition,[status(thm)],[c_937,c_1479]) ).
cnf(c_1692,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_1672]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN008-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n018.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 13:33:43 EDT 2023
% 0.13/0.35 % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.45/1.14 % SZS status Started for theBenchmark.p
% 3.45/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.45/1.14
% 3.45/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.45/1.14
% 3.45/1.14 ------ iProver source info
% 3.45/1.14
% 3.45/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.45/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.45/1.14 git: non_committed_changes: false
% 3.45/1.14 git: last_make_outside_of_git: false
% 3.45/1.14
% 3.45/1.14 ------ Parsing...successful
% 3.45/1.14
% 3.45/1.14
% 3.45/1.14
% 3.45/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.45/1.14
% 3.45/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.45/1.14
% 3.45/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.45/1.14 ------ Proving...
% 3.45/1.14 ------ Problem Properties
% 3.45/1.14
% 3.45/1.14
% 3.45/1.14 clauses 16
% 3.45/1.14 conjectures 1
% 3.45/1.14 EPR 5
% 3.45/1.14 Horn 16
% 3.45/1.14 unary 10
% 3.45/1.14 binary 4
% 3.45/1.14 lits 24
% 3.45/1.14 lits eq 7
% 3.45/1.14 fd_pure 0
% 3.45/1.14 fd_pseudo 0
% 3.45/1.14 fd_cond 0
% 3.45/1.14 fd_pseudo_cond 1
% 3.45/1.14 AC symbols 0
% 3.45/1.14
% 3.45/1.14 ------ Schedule dynamic 5 is on
% 3.45/1.14
% 3.45/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.45/1.14
% 3.45/1.14
% 3.45/1.14 ------
% 3.45/1.14 Current options:
% 3.45/1.14 ------
% 3.45/1.14
% 3.45/1.14
% 3.45/1.14
% 3.45/1.14
% 3.45/1.14 ------ Proving...
% 3.45/1.14
% 3.45/1.14
% 3.45/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.45/1.14
% 3.45/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.45/1.14
% 3.45/1.14
%------------------------------------------------------------------------------