TSTP Solution File: FLD070-2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD070-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 22:33:24 EDT 2023
% Result : Unsatisfiable 6.53s 1.63s
% Output : CNFRefutation 6.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of clauses : 71 ( 22 unt; 3 nHn; 71 RR)
% Number of literals : 147 ( 0 equ; 87 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,plain,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
cnf(c_52,negated_conjecture,
equalish(add(a,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_c_4) ).
cnf(c_53,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).
cnf(c_54,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_6) ).
cnf(c_55,negated_conjecture,
~ less_or_equal(additive_identity,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_7) ).
cnf(c_57,plain,
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(c_66,plain,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
cnf(c_71,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).
cnf(c_72,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
cnf(c_73,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).
cnf(c_74,plain,
( ~ less_or_equal(X0,X1)
| ~ defined(X2)
| less_or_equal(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c_76,plain,
( ~ defined(X0)
| equalish(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',reflexivity_of_equality) ).
cnf(c_77,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(c_78,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(c_81,plain,
( ~ equalish(X0,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
cnf(c_367,plain,
( ~ defined(c)
| ~ defined(additive_identity)
| less_or_equal(c,additive_identity)
| less_or_equal(additive_identity,c) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_369,plain,
( ~ equalish(X0,additive_identity)
| ~ less_or_equal(X0,c)
| less_or_equal(additive_identity,c) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_370,plain,
( ~ defined(X0)
| ~ defined(c)
| less_or_equal(X0,c)
| less_or_equal(c,X0) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_430,plain,
equalish(c,add(a,b)),
inference(superposition,[status(thm)],[c_52,c_77]) ).
cnf(c_450,plain,
( ~ defined(c)
| less_or_equal(c,c) ),
inference(instantiation,[status(thm)],[c_370]) ).
cnf(c_451,plain,
( ~ equalish(c,additive_identity)
| ~ less_or_equal(c,c)
| less_or_equal(additive_identity,c) ),
inference(instantiation,[status(thm)],[c_369]) ).
cnf(c_528,plain,
( ~ equalish(c,X0)
| equalish(add(a,b),X0) ),
inference(superposition,[status(thm)],[c_52,c_78]) ).
cnf(c_535,plain,
( ~ equalish(add(a,b),X0)
| equalish(c,X0) ),
inference(superposition,[status(thm)],[c_430,c_78]) ).
cnf(c_647,plain,
( ~ equalish(X0,X1)
| ~ equalish(c,X0)
| equalish(add(a,b),X1) ),
inference(superposition,[status(thm)],[c_528,c_78]) ).
cnf(c_648,plain,
( ~ equalish(c,X0)
| equalish(X0,add(a,b)) ),
inference(superposition,[status(thm)],[c_528,c_77]) ).
cnf(c_663,plain,
equalish(c,c),
inference(superposition,[status(thm)],[c_52,c_535]) ).
cnf(c_691,plain,
( ~ equalish(add(a,b),X0)
| ~ equalish(c,X1)
| equalish(X1,X0) ),
inference(superposition,[status(thm)],[c_648,c_78]) ).
cnf(c_700,plain,
( ~ equalish(c,X0)
| ~ defined(X0)
| equalish(add(a,b),X0) ),
inference(superposition,[status(thm)],[c_76,c_647]) ).
cnf(c_702,plain,
( ~ equalish(c,c)
| equalish(add(a,b),add(a,b)) ),
inference(superposition,[status(thm)],[c_430,c_647]) ).
cnf(c_837,plain,
equalish(c,add(a,b)),
inference(superposition,[status(thm)],[c_52,c_77]) ).
cnf(c_1418,plain,
( ~ less_or_equal(c,X0)
| less_or_equal(add(a,b),X0) ),
inference(superposition,[status(thm)],[c_837,c_81]) ).
cnf(c_1432,plain,
( ~ less_or_equal(c,additive_identity)
| less_or_equal(add(a,b),additive_identity) ),
inference(instantiation,[status(thm)],[c_1418]) ).
cnf(c_1539,plain,
( ~ equalish(X0,additive_identity)
| ~ less_or_equal(X0,c) ),
inference(resolution,[status(thm)],[c_81,c_55]) ).
cnf(c_1601,plain,
equalish(add(a,b),add(a,b)),
inference(global_subsumption_just,[status(thm)],[c_702,c_663,c_702]) ).
cnf(c_1605,plain,
( ~ equalish(c,X0)
| equalish(add(a,b),X0) ),
inference(global_subsumption_just,[status(thm)],[c_700,c_528]) ).
cnf(c_1611,plain,
( ~ equalish(c,X0)
| equalish(X0,add(a,b)) ),
inference(superposition,[status(thm)],[c_1601,c_691]) ).
cnf(c_1739,plain,
( ~ less_or_equal(add(a,b),X0)
| ~ equalish(c,X1)
| less_or_equal(X1,X0) ),
inference(superposition,[status(thm)],[c_1605,c_81]) ).
cnf(c_1740,plain,
( ~ less_or_equal(X0,X1)
| ~ equalish(c,X0)
| less_or_equal(add(a,b),X1) ),
inference(superposition,[status(thm)],[c_1611,c_81]) ).
cnf(c_2052,plain,
( ~ defined(c)
| ~ defined(additive_identity)
| less_or_equal(c,additive_identity) ),
inference(superposition,[status(thm)],[c_73,c_55]) ).
cnf(c_2447,plain,
( ~ equalish(X0,additive_identity)
| ~ defined(X0)
| ~ defined(c)
| less_or_equal(c,X0) ),
inference(resolution,[status(thm)],[c_73,c_1539]) ).
cnf(c_2457,plain,
( ~ defined(X0)
| ~ equalish(X0,additive_identity)
| less_or_equal(c,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2447,c_51,c_2447]) ).
cnf(c_2458,plain,
( ~ equalish(X0,additive_identity)
| ~ defined(X0)
| less_or_equal(c,X0) ),
inference(renaming,[status(thm)],[c_2457]) ).
cnf(c_2557,plain,
less_or_equal(c,additive_identity),
inference(global_subsumption_just,[status(thm)],[c_2052,c_66,c_51,c_55,c_367]) ).
cnf(c_2560,plain,
( ~ less_or_equal(additive_identity,X0)
| less_or_equal(c,X0) ),
inference(superposition,[status(thm)],[c_2557,c_72]) ).
cnf(c_2575,plain,
less_or_equal(c,b),
inference(superposition,[status(thm)],[c_54,c_2560]) ).
cnf(c_2902,plain,
( ~ equalish(c,c)
| less_or_equal(add(a,b),additive_identity) ),
inference(superposition,[status(thm)],[c_2557,c_1740]) ).
cnf(c_2905,plain,
( ~ equalish(c,c)
| less_or_equal(add(a,b),b) ),
inference(superposition,[status(thm)],[c_2575,c_1740]) ).
cnf(c_3013,plain,
less_or_equal(add(a,b),additive_identity),
inference(global_subsumption_just,[status(thm)],[c_2902,c_66,c_51,c_55,c_367,c_1432]) ).
cnf(c_3019,plain,
( ~ equalish(c,X0)
| less_or_equal(X0,additive_identity) ),
inference(superposition,[status(thm)],[c_3013,c_1739]) ).
cnf(c_3134,plain,
( ~ equalish(c,additive_identity)
| ~ defined(c) ),
inference(resolution,[status(thm)],[c_2458,c_1539]) ).
cnf(c_3138,plain,
~ equalish(c,additive_identity),
inference(global_subsumption_just,[status(thm)],[c_3134,c_51,c_55,c_450,c_451]) ).
cnf(c_3146,plain,
( ~ equalish(X0,additive_identity)
| ~ equalish(c,X0) ),
inference(resolution,[status(thm)],[c_3138,c_78]) ).
cnf(c_3414,plain,
( ~ equalish(c,X0)
| ~ less_or_equal(X0,additive_identity)
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[status(thm)],[c_3146,c_71]) ).
cnf(c_3415,plain,
( ~ equalish(c,X0)
| ~ less_or_equal(additive_identity,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3414,c_3019,c_3414]) ).
cnf(c_4339,plain,
~ equalish(c,b),
inference(resolution,[status(thm)],[c_3415,c_54]) ).
cnf(c_4380,plain,
~ equalish(b,c),
inference(resolution,[status(thm)],[c_4339,c_77]) ).
cnf(c_4389,plain,
( ~ equalish(X0,c)
| ~ equalish(b,X0) ),
inference(resolution,[status(thm)],[c_4380,c_78]) ).
cnf(c_5522,plain,
~ equalish(b,add(a,b)),
inference(resolution,[status(thm)],[c_4389,c_52]) ).
cnf(c_5553,plain,
( ~ less_or_equal(add(a,b),b)
| ~ less_or_equal(b,add(a,b)) ),
inference(resolution,[status(thm)],[c_5522,c_71]) ).
cnf(c_7560,plain,
equalish(c,add(a,b)),
inference(superposition,[status(thm)],[c_52,c_77]) ).
cnf(c_7658,plain,
( ~ less_or_equal(add(additive_identity,X0),X1)
| ~ defined(X0)
| less_or_equal(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_81]) ).
cnf(c_7663,plain,
( ~ less_or_equal(c,X0)
| less_or_equal(add(a,b),X0) ),
inference(superposition,[status(thm)],[c_7560,c_81]) ).
cnf(c_7679,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(c,X0)
| less_or_equal(add(a,b),X1) ),
inference(superposition,[status(thm)],[c_7663,c_72]) ).
cnf(c_7714,plain,
( ~ less_or_equal(c,additive_identity)
| less_or_equal(add(a,b),b) ),
inference(superposition,[status(thm)],[c_54,c_7679]) ).
cnf(c_7788,plain,
less_or_equal(add(a,b),b),
inference(global_subsumption_just,[status(thm)],[c_7714,c_663,c_2905]) ).
cnf(c_7792,plain,
( ~ less_or_equal(b,add(a,b))
| equalish(add(a,b),b) ),
inference(superposition,[status(thm)],[c_7788,c_71]) ).
cnf(c_7830,plain,
~ less_or_equal(b,add(a,b)),
inference(global_subsumption_just,[status(thm)],[c_7792,c_663,c_2905,c_5553]) ).
cnf(c_7842,plain,
( ~ less_or_equal(additive_identity,X0)
| ~ defined(X1)
| less_or_equal(X1,add(X0,X1)) ),
inference(superposition,[status(thm)],[c_74,c_7658]) ).
cnf(c_10140,plain,
( ~ less_or_equal(additive_identity,a)
| ~ defined(b) ),
inference(superposition,[status(thm)],[c_7842,c_7830]) ).
cnf(c_10148,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10140,c_53,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : FLD070-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.34 % Computer : n008.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Sun Aug 27 23:47:32 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.53/1.63 % SZS status Started for theBenchmark.p
% 6.53/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 6.53/1.63
% 6.53/1.63 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.53/1.63
% 6.53/1.63 ------ iProver source info
% 6.53/1.63
% 6.53/1.63 git: date: 2023-05-31 18:12:56 +0000
% 6.53/1.63 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.53/1.63 git: non_committed_changes: false
% 6.53/1.63 git: last_make_outside_of_git: false
% 6.53/1.63
% 6.53/1.63 ------ Parsing...successful
% 6.53/1.63
% 6.53/1.63
% 6.53/1.63
% 6.53/1.63 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 6.53/1.63
% 6.53/1.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.53/1.63 ------ Proving...
% 6.53/1.63 ------ Problem Properties
% 6.53/1.63
% 6.53/1.63
% 6.53/1.63 clauses 34
% 6.53/1.63 conjectures 4
% 6.53/1.63 EPR 16
% 6.53/1.63 Horn 31
% 6.53/1.63 unary 10
% 6.53/1.63 binary 6
% 6.53/1.63 lits 80
% 6.53/1.63 lits eq 0
% 6.53/1.63 fd_pure 0
% 6.53/1.63 fd_pseudo 0
% 6.53/1.63 fd_cond 0
% 6.53/1.63 fd_pseudo_cond 0
% 6.53/1.63 AC symbols 0
% 6.53/1.63
% 6.53/1.63 ------ Input Options Time Limit: Unbounded
% 6.53/1.63
% 6.53/1.63
% 6.53/1.63 ------
% 6.53/1.63 Current options:
% 6.53/1.63 ------
% 6.53/1.63
% 6.53/1.63
% 6.53/1.63
% 6.53/1.63
% 6.53/1.63 ------ Proving...
% 6.53/1.63
% 6.53/1.63
% 6.53/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 6.53/1.63
% 6.53/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.53/1.63
% 6.53/1.63
%------------------------------------------------------------------------------