TSTP Solution File: CAT018-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT018-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 : Mon Jun 24 04:41:41 EDT 2024
% Result : Unsatisfiable 0.45s 1.14s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_ab_exists) ).
cnf(c_50,plain,
defined(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_bc_exists) ).
cnf(c_51,negated_conjecture,
~ defined(a,compose(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_bc_exists) ).
cnf(c_52,plain,
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
cnf(c_53,plain,
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
cnf(c_54,plain,
( ~ product(X0,X1,X2)
| ~ defined(X2,X3)
| defined(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
cnf(c_55,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ defined(X2,X3)
| defined(X0,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom1) ).
cnf(c_57,plain,
( ~ product(X0,X1,X2)
| ~ defined(X3,X2)
| defined(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
cnf(c_60,plain,
( ~ defined(X0,X1)
| ~ defined(X1,X2)
| ~ identity_map(X1)
| defined(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
cnf(c_61,plain,
identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
cnf(c_62,plain,
identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
cnf(c_63,plain,
defined(X0,domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
cnf(c_65,plain,
product(X0,domain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
cnf(c_66,plain,
product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(c_74,plain,
product(codomain(b),b,b),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_331,plain,
compose(b,c) = sP0_iProver_def,
definition ).
cnf(c_332,negated_conjecture,
~ defined(a,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_51,c_331]) ).
cnf(c_625,plain,
( ~ defined(b,c)
| product(b,c,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_331,c_52]) ).
cnf(c_627,plain,
product(b,c,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_625,c_50]) ).
cnf(c_650,plain,
( ~ defined(X0,X1)
| defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_65,c_54]) ).
cnf(c_685,plain,
( ~ defined(X0,X1)
| defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_66,c_57]) ).
cnf(c_688,plain,
( ~ defined(X0,sP0_iProver_def)
| defined(X0,b) ),
inference(superposition,[status(thm)],[c_627,c_57]) ).
cnf(c_707,plain,
( ~ defined(X0,sP0_iProver_def)
| defined(domain(X0),b) ),
inference(superposition,[status(thm)],[c_650,c_688]) ).
cnf(c_751,plain,
( ~ defined(b,X0)
| ~ identity_map(b)
| defined(a,X0) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
cnf(c_753,plain,
( ~ defined(domain(X0),X1)
| ~ identity_map(domain(X0))
| defined(X0,X1) ),
inference(superposition,[status(thm)],[c_63,c_60]) ).
cnf(c_776,plain,
( ~ defined(domain(X0),X1)
| defined(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_753,c_61]) ).
cnf(c_846,plain,
( ~ product(X0,X1,X2)
| ~ defined(X0,X1)
| defined(codomain(X0),X2) ),
inference(superposition,[status(thm)],[c_66,c_55]) ).
cnf(c_919,plain,
( ~ product(X0,X1,b)
| ~ defined(a,b)
| defined(a,X0) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_961,plain,
( ~ defined(domain(X0),X1)
| defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_685,c_776]) ).
cnf(c_1351,plain,
( ~ defined(X0,sP0_iProver_def)
| defined(X0,codomain(b)) ),
inference(superposition,[status(thm)],[c_707,c_961]) ).
cnf(c_1648,plain,
( ~ defined(b,sP0_iProver_def)
| ~ identity_map(b)
| defined(a,codomain(b)) ),
inference(superposition,[status(thm)],[c_1351,c_751]) ).
cnf(c_2072,plain,
( ~ product(codomain(X0),X1,b)
| ~ defined(a,b)
| defined(a,codomain(X0)) ),
inference(instantiation,[status(thm)],[c_919]) ).
cnf(c_2074,plain,
( ~ product(codomain(b),b,b)
| ~ defined(a,b)
| defined(a,codomain(b)) ),
inference(instantiation,[status(thm)],[c_2072]) ).
cnf(c_3510,plain,
defined(a,codomain(b)),
inference(global_subsumption_just,[status(thm)],[c_1648,c_49,c_74,c_2074]) ).
cnf(c_3512,plain,
( ~ defined(codomain(b),X0)
| ~ identity_map(codomain(b))
| defined(a,X0) ),
inference(superposition,[status(thm)],[c_3510,c_60]) ).
cnf(c_3513,plain,
( ~ defined(codomain(b),X0)
| defined(a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3512,c_62]) ).
cnf(c_4404,plain,
( ~ product(X0,X1,X2)
| defined(codomain(X0),X2) ),
inference(global_subsumption_just,[status(thm)],[c_846,c_53,c_846]) ).
cnf(c_4415,plain,
defined(codomain(b),sP0_iProver_def),
inference(superposition,[status(thm)],[c_627,c_4404]) ).
cnf(c_4433,plain,
defined(a,sP0_iProver_def),
inference(superposition,[status(thm)],[c_4415,c_3513]) ).
cnf(c_4434,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4433,c_332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : CAT018-1 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue Jun 18 12:05:54 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 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: 2024-06-12 09:56:46 +0000
% 0.45/1.14 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 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 22
% 0.45/1.14 conjectures 1
% 0.45/1.14 EPR 14
% 0.45/1.14 Horn 22
% 0.45/1.14 unary 10
% 0.45/1.14 binary 2
% 0.45/1.14 lits 49
% 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 ------ Schedule dynamic 5 is on
% 0.45/1.14
% 0.45/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 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
%------------------------------------------------------------------------------