TSTP Solution File: CAT009-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT009-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Fri May 3 02:09:02 EDT 2024
% Result : Unsatisfiable 4.19s 1.18s
% Output : CNFRefutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of clauses : 25 ( 10 unt; 0 nHn; 22 RR)
% Number of literals : 46 ( 2 equ; 34 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ba_defined) ).
cnf(c_50,negated_conjecture,
domain(compose(b,a)) != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_ba_equals_domain_of_a) ).
cnf(c_51,plain,
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
cnf(c_52,plain,
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
cnf(c_53,plain,
( ~ product(X0,X1,X2)
| ~ defined(X2,X3)
| defined(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
cnf(c_60,plain,
identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
cnf(c_62,plain,
defined(X0,domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
cnf(c_64,plain,
product(X0,domain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
cnf(c_66,plain,
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity1) ).
cnf(c_67,plain,
( ~ defined(X0,X1)
| ~ identity_map(X1)
| product(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).
cnf(c_68,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
cnf(c_70,plain,
identity_map(domain(a)),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_574,plain,
( ~ product(X0,X1,domain(compose(b,a)))
| ~ product(X0,X1,domain(a)) ),
inference(resolution,[status(thm)],[c_68,c_50]) ).
cnf(c_582,plain,
( ~ product(X0,domain(compose(b,a)),domain(a))
| ~ defined(X0,domain(compose(b,a)))
| ~ identity_map(X0) ),
inference(resolution,[status(thm)],[c_574,c_66]) ).
cnf(c_719,plain,
( ~ product(X0,domain(compose(b,a)),domain(a))
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_582,c_52]) ).
cnf(c_725,plain,
( ~ defined(domain(a),domain(compose(b,a)))
| ~ identity_map(domain(compose(b,a)))
| ~ identity_map(domain(a)) ),
inference(resolution,[status(thm)],[c_719,c_67]) ).
cnf(c_726,plain,
( ~ identity_map(domain(compose(b,a)))
| ~ defined(domain(a),domain(compose(b,a))) ),
inference(global_subsumption_just,[status(thm)],[c_725,c_70,c_725]) ).
cnf(c_727,plain,
( ~ defined(domain(a),domain(compose(b,a)))
| ~ identity_map(domain(compose(b,a))) ),
inference(renaming,[status(thm)],[c_726]) ).
cnf(c_730,plain,
~ defined(domain(a),domain(compose(b,a))),
inference(forward_subsumption_resolution,[status(thm)],[c_727,c_60]) ).
cnf(c_739,plain,
( ~ defined(X0,domain(compose(b,a)))
| ~ product(X1,domain(a),X0) ),
inference(resolution,[status(thm)],[c_730,c_53]) ).
cnf(c_766,plain,
~ defined(a,domain(compose(b,a))),
inference(resolution,[status(thm)],[c_739,c_64]) ).
cnf(c_788,plain,
( ~ defined(X0,domain(compose(b,a)))
| ~ product(X1,a,X0) ),
inference(resolution,[status(thm)],[c_766,c_53]) ).
cnf(c_1056,plain,
( ~ defined(compose(X0,a),domain(compose(b,a)))
| ~ defined(X0,a) ),
inference(resolution,[status(thm)],[c_788,c_51]) ).
cnf(c_1246,plain,
~ defined(b,a),
inference(resolution,[status(thm)],[c_1056,c_62]) ).
cnf(c_1247,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1246,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 21:16:12 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.19/1.18 % SZS status Started for theBenchmark.p
% 4.19/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.18
% 4.19/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.19/1.18
% 4.19/1.18 ------ iProver source info
% 4.19/1.18
% 4.19/1.18 git: date: 2024-05-02 19:28:25 +0000
% 4.19/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.19/1.18 git: non_committed_changes: false
% 4.19/1.18
% 4.19/1.18 ------ Parsing...successful
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.19/1.18
% 4.19/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.19/1.18
% 4.19/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.19/1.18 ------ Proving...
% 4.19/1.18 ------ Problem Properties
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 clauses 20
% 4.19/1.18 conjectures 1
% 4.19/1.18 EPR 12
% 4.19/1.18 Horn 20
% 4.19/1.18 unary 8
% 4.19/1.18 binary 2
% 4.19/1.18 lits 47
% 4.19/1.18 lits eq 2
% 4.19/1.18 fd_pure 0
% 4.19/1.18 fd_pseudo 0
% 4.19/1.18 fd_cond 0
% 4.19/1.18 fd_pseudo_cond 1
% 4.19/1.18 AC symbols 0
% 4.19/1.18
% 4.19/1.18 ------ Input Options Time Limit: Unbounded
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 ------
% 4.19/1.18 Current options:
% 4.19/1.18 ------
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 ------ Proving...
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.18
% 4.19/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/1.18
% 4.19/1.18
%------------------------------------------------------------------------------