TSTP Solution File: FLD005-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD005-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 22:32:47 EDT 2023
% Result : Unsatisfiable 10.16s 2.21s
% Output : CNFRefutation 10.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 6 unt; 0 nHn; 32 RR)
% Number of literals : 80 ( 0 equ; 50 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 1 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_51,negated_conjecture,
~ equalish(add(a,X0),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_b_3) ).
cnf(c_52,plain,
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',associativity_addition) ).
cnf(c_53,plain,
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(c_54,plain,
( ~ defined(X0)
| equalish(add(X0,additive_inverse(X0)),additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
cnf(c_61,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(add(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_addition) ).
cnf(c_62,plain,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
cnf(c_63,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
cnf(c_74,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(c_75,plain,
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
cnf(c_271,plain,
( ~ defined(b)
| equalish(add(additive_identity,b),b) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_281,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,b)
| equalish(X0,b) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_353,plain,
( ~ equalish(X0,add(additive_identity,b))
| ~ equalish(add(additive_identity,b),b)
| equalish(X0,b) ),
inference(instantiation,[status(thm)],[c_281]) ).
cnf(c_426,plain,
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(a)
| equalish(add(a,add(X0,X1)),add(add(a,X0),X1)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_430,plain,
( ~ defined(a)
| equalish(add(a,additive_inverse(a)),additive_identity) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_445,plain,
( ~ equalish(add(a,X0),X1)
| ~ equalish(X1,X2)
| equalish(add(a,X0),X2) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_518,plain,
( ~ equalish(add(additive_identity,add(additive_identity,b)),add(additive_identity,b))
| ~ equalish(add(additive_identity,b),b)
| equalish(add(additive_identity,add(additive_identity,b)),b) ),
inference(instantiation,[status(thm)],[c_353]) ).
cnf(c_519,plain,
( ~ defined(add(additive_identity,b))
| equalish(add(additive_identity,add(additive_identity,b)),add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1278,plain,
( ~ equalish(add(a,add(X0,X1)),add(add(a,X0),X1))
| ~ equalish(add(add(a,X0),X1),X2)
| equalish(add(a,add(X0,X1)),X2) ),
inference(instantiation,[status(thm)],[c_445]) ).
cnf(c_1559,plain,
( ~ equalish(add(add(a,X0),X1),X2)
| ~ equalish(X2,b)
| equalish(add(add(a,X0),X1),b) ),
inference(instantiation,[status(thm)],[c_281]) ).
cnf(c_1799,plain,
( ~ defined(b)
| ~ defined(additive_identity)
| defined(add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_5325,plain,
( ~ equalish(add(a,X0),X1)
| ~ defined(X2)
| equalish(add(add(a,X0),X2),add(X1,X2)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_6264,plain,
( ~ equalish(add(add(a,X0),X1),add(additive_identity,add(additive_identity,b)))
| ~ equalish(add(additive_identity,add(additive_identity,b)),b)
| equalish(add(add(a,X0),X1),b) ),
inference(instantiation,[status(thm)],[c_1559]) ).
cnf(c_20020,plain,
( ~ equalish(add(a,additive_inverse(a)),additive_identity)
| ~ defined(X0)
| equalish(add(add(a,additive_inverse(a)),X0),add(additive_identity,X0)) ),
inference(instantiation,[status(thm)],[c_5325]) ).
cnf(c_21420,plain,
( ~ equalish(add(a,additive_inverse(a)),additive_identity)
| ~ defined(add(additive_identity,b))
| equalish(add(add(a,additive_inverse(a)),add(additive_identity,b)),add(additive_identity,add(additive_identity,b))) ),
inference(instantiation,[status(thm)],[c_20020]) ).
cnf(c_21421,plain,
( ~ equalish(add(add(a,additive_inverse(a)),add(additive_identity,b)),add(additive_identity,add(additive_identity,b)))
| ~ equalish(add(additive_identity,add(additive_identity,b)),b)
| equalish(add(add(a,additive_inverse(a)),add(additive_identity,b)),b) ),
inference(instantiation,[status(thm)],[c_6264]) ).
cnf(c_31460,plain,
( ~ equalish(add(a,add(additive_inverse(a),add(additive_identity,b))),add(add(a,additive_inverse(a)),add(additive_identity,b)))
| ~ equalish(add(add(a,additive_inverse(a)),add(additive_identity,b)),b)
| equalish(add(a,add(additive_inverse(a),add(additive_identity,b))),b) ),
inference(instantiation,[status(thm)],[c_1278]) ).
cnf(c_40491,plain,
( ~ defined(add(additive_identity,b))
| ~ defined(additive_inverse(a))
| ~ defined(a)
| equalish(add(a,add(additive_inverse(a),add(additive_identity,b))),add(add(a,additive_inverse(a)),add(additive_identity,b))) ),
inference(instantiation,[status(thm)],[c_426]) ).
cnf(c_45961,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_48176,plain,
~ equalish(add(a,add(additive_inverse(a),add(additive_identity,b))),b),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_48177,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_48176,c_45961,c_40491,c_31460,c_21421,c_21420,c_1799,c_519,c_518,c_430,c_271,c_49,c_50,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : FLD005-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : run_iprover %s %d THM
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 00:38:28 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.16/2.21 % SZS status Started for theBenchmark.p
% 10.16/2.21 % SZS status Unsatisfiable for theBenchmark.p
% 10.16/2.21
% 10.16/2.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.16/2.21
% 10.16/2.21 ------ iProver source info
% 10.16/2.21
% 10.16/2.21 git: date: 2023-05-31 18:12:56 +0000
% 10.16/2.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.16/2.21 git: non_committed_changes: false
% 10.16/2.21 git: last_make_outside_of_git: false
% 10.16/2.21
% 10.16/2.21 ------ Parsing...successful
% 10.16/2.21
% 10.16/2.21
% 10.16/2.21
% 10.16/2.21 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 10.16/2.21
% 10.16/2.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.16/2.21 ------ Proving...
% 10.16/2.21 ------ Problem Properties
% 10.16/2.21
% 10.16/2.21
% 10.16/2.21 clauses 30
% 10.16/2.21 conjectures 1
% 10.16/2.21 EPR 12
% 10.16/2.21 Horn 27
% 10.16/2.21 unary 6
% 10.16/2.21 binary 6
% 10.16/2.21 lits 76
% 10.16/2.21 lits eq 0
% 10.16/2.21 fd_pure 0
% 10.16/2.21 fd_pseudo 0
% 10.16/2.21 fd_cond 0
% 10.16/2.21 fd_pseudo_cond 0
% 10.16/2.21 AC symbols 0
% 10.16/2.21
% 10.16/2.21 ------ Schedule dynamic 5 is on
% 10.16/2.21
% 10.16/2.21 ------ no equalities: superposition off
% 10.16/2.21
% 10.16/2.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.16/2.21
% 10.16/2.21
% 10.16/2.21 ------
% 10.16/2.21 Current options:
% 10.16/2.21 ------
% 10.16/2.21
% 10.16/2.21
% 10.16/2.21
% 10.16/2.21
% 10.16/2.21 ------ Proving...
% 10.16/2.21
% 10.16/2.21
% 10.16/2.21 % SZS status Unsatisfiable for theBenchmark.p
% 10.16/2.21
% 10.16/2.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.16/2.21
% 10.16/2.21
%------------------------------------------------------------------------------