TSTP Solution File: ANA003-4 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA003-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Wed Aug 30 17:17:56 EDT 2023
% Result : Unsatisfiable 2.92s 1.15s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 28 ( 3 unt; 9 nHn; 25 RR)
% Number of literals : 66 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ less_or_equal(X0,minimum(X1,X2))
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum3) ).
cnf(c_50,plain,
( ~ less_or_equal(X0,minimum(X1,X2))
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum7) ).
cnf(c_51,plain,
( ~ less_or_equal(minimum(X0,X1),n0)
| less_or_equal(X0,n0)
| less_or_equal(X1,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum9) ).
cnf(c_52,plain,
( ~ less_or_equal(X0,half(X1))
| ~ less_or_equal(X2,half(X1))
| less_or_equal(add(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_sum_of_halves) ).
cnf(c_53,plain,
( ~ less_or_equal(half(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_and_half) ).
cnf(c_54,plain,
( ~ less_or_equal(delta_1(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(c_55,plain,
( ~ less_or_equal(delta_2(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(c_56,plain,
( ~ less_or_equal(absolute(add(X0,negate(a_real_number))),delta_1(X1))
| less_or_equal(absolute(add(f(X0),negate(f(a_real_number)))),X1)
| less_or_equal(X1,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(c_57,plain,
( ~ less_or_equal(absolute(add(X0,negate(a_real_number))),delta_2(X1))
| less_or_equal(absolute(add(g(X0),negate(g(a_real_number)))),X1)
| less_or_equal(X1,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(c_58,plain,
~ less_or_equal(epsilon_0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(c_59,plain,
( less_or_equal(absolute(add(xs(X0),negate(a_real_number))),X0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(c_60,negated_conjecture,
( ~ less_or_equal(add(absolute(add(f(xs(X0)),negate(f(a_real_number)))),absolute(add(g(xs(X0)),negate(g(a_real_number))))),epsilon_0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_2) ).
cnf(c_126,plain,
( ~ less_or_equal(half(epsilon_0),n0)
| less_or_equal(epsilon_0,n0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_156,plain,
( ~ less_or_equal(delta_2(half(epsilon_0)),n0)
| less_or_equal(half(epsilon_0),n0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_157,plain,
( ~ less_or_equal(delta_1(half(epsilon_0)),n0)
| less_or_equal(half(epsilon_0),n0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_247,plain,
( less_or_equal(absolute(add(xs(minimum(X0,X1)),negate(a_real_number))),X1)
| less_or_equal(minimum(X0,X1),n0) ),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_248,plain,
( less_or_equal(absolute(add(xs(minimum(X0,X1)),negate(a_real_number))),X0)
| less_or_equal(minimum(X0,X1),n0) ),
inference(superposition,[status(thm)],[c_59,c_49]) ).
cnf(c_340,plain,
( ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| ~ less_or_equal(absolute(add(g(xs(X0)),negate(g(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_52,c_60]) ).
cnf(c_742,plain,
( ~ less_or_equal(absolute(add(g(xs(X0)),negate(g(a_real_number)))),half(epsilon_0))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0)
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_56,c_340]) ).
cnf(c_759,plain,
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| ~ less_or_equal(absolute(add(g(xs(X0)),negate(g(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0) ),
inference(global_subsumption_just,[status(thm)],[c_742,c_58,c_126,c_742]) ).
cnf(c_760,plain,
( ~ less_or_equal(absolute(add(g(xs(X0)),negate(g(a_real_number)))),half(epsilon_0))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0) ),
inference(renaming,[status(thm)],[c_759]) ).
cnf(c_768,plain,
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0)
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_57,c_760]) ).
cnf(c_802,plain,
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0) ),
inference(global_subsumption_just,[status(thm)],[c_768,c_58,c_126,c_768]) ).
cnf(c_803,plain,
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(X0,n0) ),
inference(renaming,[status(thm)],[c_802]) ).
cnf(c_812,plain,
( ~ less_or_equal(absolute(add(xs(minimum(X0,delta_1(half(epsilon_0)))),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(minimum(X0,delta_1(half(epsilon_0))),n0) ),
inference(superposition,[status(thm)],[c_247,c_803]) ).
cnf(c_897,plain,
less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0),
inference(superposition,[status(thm)],[c_248,c_812]) ).
cnf(c_1589,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| less_or_equal(delta_2(half(epsilon_0)),n0) ),
inference(superposition,[status(thm)],[c_897,c_51]) ).
cnf(c_1592,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1589,c_156,c_157,c_126,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA003-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n025.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 : Fri Aug 25 18:25:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.92/1.15 % SZS status Started for theBenchmark.p
% 2.92/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.92/1.15
% 2.92/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.92/1.15
% 2.92/1.15 ------ iProver source info
% 2.92/1.15
% 2.92/1.15 git: date: 2023-05-31 18:12:56 +0000
% 2.92/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.92/1.15 git: non_committed_changes: false
% 2.92/1.15 git: last_make_outside_of_git: false
% 2.92/1.15
% 2.92/1.15 ------ Parsing...successful
% 2.92/1.15
% 2.92/1.15
% 2.92/1.15
% 2.92/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.92/1.15
% 2.92/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.92/1.15 ------ Proving...
% 2.92/1.15 ------ Problem Properties
% 2.92/1.15
% 2.92/1.15
% 2.92/1.15 clauses 12
% 2.92/1.15 conjectures 1
% 2.92/1.15 EPR 1
% 2.92/1.15 Horn 8
% 2.92/1.15 unary 1
% 2.92/1.15 binary 7
% 2.92/1.15 lits 27
% 2.92/1.15 lits eq 0
% 2.92/1.15 fd_pure 0
% 2.92/1.15 fd_pseudo 0
% 2.92/1.15 fd_cond 0
% 2.92/1.16 fd_pseudo_cond 0
% 2.92/1.16 AC symbols 0
% 2.92/1.16
% 2.92/1.16 ------ Schedule dynamic 5 is on
% 2.92/1.16
% 2.92/1.16 ------ no equalities: superposition off
% 2.92/1.16
% 2.92/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.92/1.16
% 2.92/1.16
% 2.92/1.16 ------
% 2.92/1.16 Current options:
% 2.92/1.16 ------
% 2.92/1.16
% 2.92/1.16
% 2.92/1.16
% 2.92/1.16
% 2.92/1.16 ------ Proving...
% 2.92/1.16
% 2.92/1.16
% 2.92/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.92/1.16
% 2.92/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.92/1.16
% 2.92/1.16
%------------------------------------------------------------------------------