TSTP Solution File: FLD060-4 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD060-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 22:33:19 EDT 2023
% Result : Unsatisfiable 7.72s 1.65s
% Output : CNFRefutation 7.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 7 unt; 0 nHn; 27 RR)
% Number of literals : 72 ( 0 equ; 46 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_53,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).
cnf(c_54,negated_conjecture,
sum(a,a,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
cnf(c_55,negated_conjecture,
sum(b,b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
cnf(c_56,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_8) ).
cnf(c_61,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c_75,plain,
( ~ defined(X0)
| ~ defined(X1)
| sum(X0,X1,add(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
cnf(c_78,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
cnf(c_80,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ less_or_equal(X0,X3)
| less_or_equal(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c_264,plain,
( ~ less_or_equal(X0,v)
| ~ less_or_equal(u,X0)
| less_or_equal(u,v) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_271,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,u)
| ~ less_or_equal(X3,X0)
| less_or_equal(u,X2) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_303,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,v)
| ~ less_or_equal(X0,X3)
| less_or_equal(X2,v) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_321,plain,
( ~ sum(X0,a,X1)
| ~ sum(a,a,u)
| ~ less_or_equal(a,X0)
| less_or_equal(u,X1) ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_435,plain,
( ~ sum(a,X0,X1)
| sum(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_555,plain,
( ~ sum(X0,b,X1)
| ~ sum(b,b,v)
| ~ less_or_equal(X0,b)
| less_or_equal(X1,v) ),
inference(instantiation,[status(thm)],[c_303]) ).
cnf(c_614,plain,
( ~ defined(X0)
| ~ defined(b)
| sum(X0,b,add(X0,b)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_956,plain,
( ~ sum(a,X0,add(a,X0))
| sum(X0,a,add(a,X0)) ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_1154,plain,
( ~ sum(X0,b,add(X0,b))
| ~ sum(b,b,v)
| ~ less_or_equal(X0,b)
| less_or_equal(add(X0,b),v) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_2098,plain,
( ~ defined(a)
| ~ defined(b)
| sum(a,b,add(a,b)) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_2224,plain,
( ~ sum(a,b,add(a,b))
| sum(b,a,add(a,b)) ),
inference(instantiation,[status(thm)],[c_956]) ).
cnf(c_3981,plain,
( ~ sum(X0,a,add(a,X0))
| ~ sum(a,a,u)
| ~ less_or_equal(a,X0)
| less_or_equal(u,add(a,X0)) ),
inference(instantiation,[status(thm)],[c_321]) ).
cnf(c_5344,plain,
( ~ less_or_equal(add(X0,b),v)
| ~ less_or_equal(u,add(X0,b))
| less_or_equal(u,v) ),
inference(instantiation,[status(thm)],[c_264]) ).
cnf(c_6117,plain,
( ~ sum(a,b,add(a,b))
| ~ sum(b,b,v)
| ~ less_or_equal(a,b)
| less_or_equal(add(a,b),v) ),
inference(instantiation,[status(thm)],[c_1154]) ).
cnf(c_8999,plain,
( ~ less_or_equal(add(a,b),v)
| ~ less_or_equal(u,add(a,b))
| less_or_equal(u,v) ),
inference(instantiation,[status(thm)],[c_5344]) ).
cnf(c_14077,plain,
( ~ sum(b,a,add(a,b))
| ~ sum(a,a,u)
| ~ less_or_equal(a,b)
| less_or_equal(u,add(a,b)) ),
inference(instantiation,[status(thm)],[c_3981]) ).
cnf(c_14078,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14077,c_8999,c_6117,c_2224,c_2098,c_54,c_55,c_56,c_53,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD060-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n001.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 : Mon Aug 28 00:40:49 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.72/1.65 % SZS status Started for theBenchmark.p
% 7.72/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.72/1.65
% 7.72/1.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.72/1.65
% 7.72/1.65 ------ iProver source info
% 7.72/1.65
% 7.72/1.65 git: date: 2023-05-31 18:12:56 +0000
% 7.72/1.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.72/1.65 git: non_committed_changes: false
% 7.72/1.65 git: last_make_outside_of_git: false
% 7.72/1.65
% 7.72/1.65 ------ Parsing...successful
% 7.72/1.65
% 7.72/1.65
% 7.72/1.65
% 7.72/1.65 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 7.72/1.65
% 7.72/1.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.72/1.65 ------ Proving...
% 7.72/1.65 ------ Problem Properties
% 7.72/1.65
% 7.72/1.65
% 7.72/1.65 clauses 34
% 7.72/1.65 conjectures 4
% 7.72/1.65 EPR 26
% 7.72/1.65 Horn 31
% 7.72/1.65 unary 11
% 7.72/1.65 binary 6
% 7.72/1.65 lits 85
% 7.72/1.65 lits eq 0
% 7.72/1.65 fd_pure 0
% 7.72/1.65 fd_pseudo 0
% 7.72/1.65 fd_cond 0
% 7.72/1.65 fd_pseudo_cond 0
% 7.72/1.65 AC symbols 0
% 7.72/1.65
% 7.72/1.65 ------ Input Options Time Limit: Unbounded
% 7.72/1.65
% 7.72/1.65
% 7.72/1.65 ------
% 7.72/1.65 Current options:
% 7.72/1.65 ------
% 7.72/1.65
% 7.72/1.65
% 7.72/1.65
% 7.72/1.65
% 7.72/1.65 ------ Proving...
% 7.72/1.65
% 7.72/1.65
% 7.72/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.72/1.65
% 7.72/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.72/1.65
% 7.72/1.65
%------------------------------------------------------------------------------