TSTP Solution File: FLD069-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD069-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 22:33:23 EDT 2023
% Result : Unsatisfiable 3.71s 1.15s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 34 ( 11 unt; 1 nHn; 34 RR)
% Number of literals : 73 ( 0 equ; 47 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
cnf(c_52,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
cnf(c_53,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_5) ).
cnf(c_54,negated_conjecture,
equalish(add(a,b),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_equals_additive_identity_6) ).
cnf(c_56,plain,
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(c_65,plain,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
cnf(c_70,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).
cnf(c_71,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
cnf(c_72,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).
cnf(c_73,plain,
( ~ less_or_equal(X0,X1)
| ~ defined(X2)
| less_or_equal(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c_76,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(c_77,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(c_80,plain,
( ~ less_or_equal(X0,X1)
| ~ equalish(X0,X2)
| less_or_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
cnf(c_90,plain,
( ~ defined(additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_341,plain,
( ~ equalish(X0,additive_identity)
| ~ equalish(b,X0) ),
inference(resolution,[status(thm)],[c_77,c_53]) ).
cnf(c_353,plain,
~ equalish(b,add(a,b)),
inference(resolution,[status(thm)],[c_341,c_54]) ).
cnf(c_378,plain,
( ~ less_or_equal(add(a,b),b)
| ~ less_or_equal(b,add(a,b)) ),
inference(resolution,[status(thm)],[c_353,c_70]) ).
cnf(c_510,plain,
( ~ defined(b)
| equalish(add(additive_identity,b),b) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_550,plain,
( ~ less_or_equal(X0,X1)
| ~ equalish(X0,b)
| less_or_equal(b,X1) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1037,plain,
( ~ less_or_equal(add(additive_identity,b),X0)
| ~ equalish(add(additive_identity,b),b)
| less_or_equal(b,X0) ),
inference(instantiation,[status(thm)],[c_550]) ).
cnf(c_1563,plain,
equalish(additive_identity,add(a,b)),
inference(superposition,[status(thm)],[c_54,c_76]) ).
cnf(c_1695,plain,
( ~ equalish(additive_identity,X0)
| less_or_equal(X0,b) ),
inference(superposition,[status(thm)],[c_52,c_80]) ).
cnf(c_1823,plain,
less_or_equal(add(a,b),b),
inference(superposition,[status(thm)],[c_1563,c_1695]) ).
cnf(c_2411,plain,
( ~ less_or_equal(add(additive_identity,b),add(X0,b))
| ~ equalish(add(additive_identity,b),b)
| less_or_equal(b,add(X0,b)) ),
inference(instantiation,[status(thm)],[c_1037]) ).
cnf(c_2412,plain,
( ~ less_or_equal(additive_identity,X0)
| ~ defined(b)
| less_or_equal(add(additive_identity,b),add(X0,b)) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_2413,plain,
( ~ less_or_equal(add(additive_identity,b),add(additive_identity,b))
| ~ equalish(add(additive_identity,b),b)
| less_or_equal(b,add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_2411]) ).
cnf(c_2414,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| ~ defined(b)
| less_or_equal(add(additive_identity,b),add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_2412]) ).
cnf(c_4089,plain,
( ~ equalish(X0,add(a,b))
| ~ less_or_equal(b,add(a,b))
| ~ less_or_equal(X0,b) ),
inference(resolution,[status(thm)],[c_80,c_378]) ).
cnf(c_4090,plain,
~ less_or_equal(b,add(a,b)),
inference(global_subsumption_just,[status(thm)],[c_4089,c_378,c_1823]) ).
cnf(c_4275,plain,
( ~ less_or_equal(X0,add(a,b))
| ~ less_or_equal(b,X0) ),
inference(resolution,[status(thm)],[c_4090,c_71]) ).
cnf(c_4666,plain,
( ~ less_or_equal(b,add(X0,b))
| ~ less_or_equal(X0,a)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_4275,c_73]) ).
cnf(c_4667,plain,
( ~ less_or_equal(b,add(additive_identity,b))
| ~ less_or_equal(additive_identity,a)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_4666]) ).
cnf(c_4668,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4667,c_2414,c_2413,c_510,c_90,c_51,c_50,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD069-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 01:04:09 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.71/1.15 % SZS status Started for theBenchmark.p
% 3.71/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.15
% 3.71/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.71/1.15
% 3.71/1.15 ------ iProver source info
% 3.71/1.15
% 3.71/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.71/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.71/1.15 git: non_committed_changes: false
% 3.71/1.15 git: last_make_outside_of_git: false
% 3.71/1.15
% 3.71/1.15 ------ Parsing...successful
% 3.71/1.15
% 3.71/1.15
% 3.71/1.15
% 3.71/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.71/1.15
% 3.71/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.71/1.15 ------ Proving...
% 3.71/1.15 ------ Problem Properties
% 3.71/1.15
% 3.71/1.15
% 3.71/1.15 clauses 33
% 3.71/1.15 conjectures 4
% 3.71/1.15 EPR 15
% 3.71/1.15 Horn 30
% 3.71/1.15 unary 9
% 3.71/1.15 binary 6
% 3.71/1.15 lits 79
% 3.71/1.15 lits eq 0
% 3.71/1.15 fd_pure 0
% 3.71/1.15 fd_pseudo 0
% 3.71/1.15 fd_cond 0
% 3.71/1.15 fd_pseudo_cond 0
% 3.71/1.15 AC symbols 0
% 3.71/1.15
% 3.71/1.15 ------ Input Options Time Limit: Unbounded
% 3.71/1.15
% 3.71/1.15
% 3.71/1.15 ------
% 3.71/1.15 Current options:
% 3.71/1.15 ------
% 3.71/1.15
% 3.71/1.15
% 3.71/1.15
% 3.71/1.15
% 3.71/1.15 ------ Proving...
% 3.71/1.15
% 3.71/1.15
% 3.71/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.15
% 3.71/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.71/1.15
% 3.71/1.15
%------------------------------------------------------------------------------