TSTP Solution File: CAT010-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 02:09:03 EDT 2024
% Result : Unsatisfiable 0.45s 1.14s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 12 unt; 0 nHn; 32 RR)
% Number of literals : 68 ( 2 equ; 50 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 : 38 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ba_defined) ).
cnf(c_50,negated_conjecture,
codomain(compose(b,a)) != codomain(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_ba_equals_codomain_of_b) ).
cnf(c_51,plain,
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
cnf(c_52,plain,
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
cnf(c_53,plain,
( ~ product(X0,X1,X2)
| ~ defined(X2,X3)
| defined(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
cnf(c_56,plain,
( ~ product(X0,X1,X2)
| ~ defined(X3,X2)
| defined(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
cnf(c_61,plain,
identity_map(codomain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
cnf(c_63,plain,
defined(codomain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
cnf(c_65,plain,
product(codomain(X0),X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(c_66,plain,
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).
cnf(c_67,plain,
( ~ defined(X0,X1)
| ~ identity_map(X1)
| product(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity2) ).
cnf(c_68,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
cnf(c_69,plain,
identity_map(codomain(b)),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_73,plain,
product(codomain(b),b,b),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_574,plain,
( ~ product(X0,X1,codomain(compose(b,a)))
| ~ product(X0,X1,codomain(b)) ),
inference(resolution,[status(thm)],[c_68,c_50]) ).
cnf(c_582,plain,
( ~ product(X0,codomain(compose(b,a)),codomain(b))
| ~ defined(X0,codomain(compose(b,a)))
| ~ identity_map(X0) ),
inference(resolution,[status(thm)],[c_574,c_66]) ).
cnf(c_600,plain,
( ~ defined(b,a)
| product(b,a,compose(b,a)) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_719,plain,
( ~ product(X0,codomain(compose(b,a)),codomain(b))
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_582,c_52]) ).
cnf(c_725,plain,
( ~ defined(codomain(b),codomain(compose(b,a)))
| ~ identity_map(codomain(compose(b,a)))
| ~ identity_map(codomain(b)) ),
inference(resolution,[status(thm)],[c_719,c_67]) ).
cnf(c_726,plain,
( ~ identity_map(codomain(compose(b,a)))
| ~ defined(codomain(b),codomain(compose(b,a))) ),
inference(global_subsumption_just,[status(thm)],[c_725,c_69,c_725]) ).
cnf(c_727,plain,
( ~ defined(codomain(b),codomain(compose(b,a)))
| ~ identity_map(codomain(compose(b,a))) ),
inference(renaming,[status(thm)],[c_726]) ).
cnf(c_730,plain,
~ defined(codomain(b),codomain(compose(b,a))),
inference(forward_subsumption_resolution,[status(thm)],[c_727,c_61]) ).
cnf(c_743,plain,
( ~ product(codomain(compose(b,a)),X0,X1)
| ~ defined(codomain(b),X1) ),
inference(resolution,[status(thm)],[c_730,c_56]) ).
cnf(c_788,plain,
~ defined(codomain(b),compose(b,a)),
inference(resolution,[status(thm)],[c_743,c_65]) ).
cnf(c_799,plain,
( ~ product(X0,codomain(b),X1)
| ~ defined(X1,compose(b,a)) ),
inference(resolution,[status(thm)],[c_788,c_53]) ).
cnf(c_850,plain,
( ~ product(b,a,compose(b,a))
| ~ defined(X0,compose(b,a))
| defined(X0,b) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1040,plain,
( ~ defined(X0,compose(b,a))
| ~ defined(X0,codomain(b))
| ~ identity_map(codomain(b)) ),
inference(resolution,[status(thm)],[c_799,c_67]) ).
cnf(c_1042,plain,
( ~ defined(X0,codomain(b))
| ~ defined(X0,compose(b,a)) ),
inference(global_subsumption_just,[status(thm)],[c_1040,c_69,c_1040]) ).
cnf(c_1043,plain,
( ~ defined(X0,compose(b,a))
| ~ defined(X0,codomain(b)) ),
inference(renaming,[status(thm)],[c_1042]) ).
cnf(c_1252,plain,
~ defined(codomain(compose(b,a)),codomain(b)),
inference(resolution,[status(thm)],[c_1043,c_63]) ).
cnf(c_1269,plain,
( ~ defined(codomain(compose(b,a)),X0)
| ~ product(codomain(b),X1,X0) ),
inference(resolution,[status(thm)],[c_1252,c_56]) ).
cnf(c_1270,plain,
( ~ defined(codomain(compose(b,a)),b)
| ~ product(codomain(b),b,b) ),
inference(instantiation,[status(thm)],[c_1269]) ).
cnf(c_1773,plain,
( ~ defined(codomain(compose(b,a)),compose(b,a))
| ~ product(b,a,compose(b,a))
| defined(codomain(compose(b,a)),b) ),
inference(instantiation,[status(thm)],[c_850]) ).
cnf(c_1774,plain,
defined(codomain(compose(b,a)),compose(b,a)),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_1775,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1774,c_1773,c_1270,c_600,c_73,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : CAT010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:07:49 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.45/1.14 % SZS status Started for theBenchmark.p
% 0.45/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14
% 0.45/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.14
% 0.45/1.14 ------ iProver source info
% 0.45/1.14
% 0.45/1.14 git: date: 2024-05-02 19:28:25 +0000
% 0.45/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.45/1.14 git: non_committed_changes: false
% 0.45/1.14
% 0.45/1.14 ------ Parsing...successful
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.45/1.14
% 0.45/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.45/1.14
% 0.45/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.45/1.14 ------ Proving...
% 0.45/1.14 ------ Problem Properties
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 clauses 20
% 0.45/1.14 conjectures 1
% 0.45/1.14 EPR 12
% 0.45/1.14 Horn 20
% 0.45/1.14 unary 8
% 0.45/1.14 binary 2
% 0.45/1.14 lits 47
% 0.45/1.14 lits eq 2
% 0.45/1.14 fd_pure 0
% 0.45/1.14 fd_pseudo 0
% 0.45/1.14 fd_cond 0
% 0.45/1.14 fd_pseudo_cond 1
% 0.45/1.14 AC symbols 0
% 0.45/1.14
% 0.45/1.14 ------ Input Options Time Limit: Unbounded
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 ------
% 0.45/1.14 Current options:
% 0.45/1.14 ------
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 ------ Proving...
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14
% 0.45/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.14
% 0.45/1.14
%------------------------------------------------------------------------------