%------------------------------------------------------------------------------
% File : FMB4J---0.1
% Problem : LCL565+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_fmb4j /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:04:22 PM UTC 2026
% Result : CounterSatisfiable 14.35s 9.14s
% Output : FiniteModel 14.35s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(domain,interpretation-domains,
! [X] :
( X = "d3"
| X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(mappings,interpretation-mappings,
( strict_equiv("d2","d1") = "d1"
& strict_equiv("d0","d3") = "d1"
& strict_equiv("d1","d2") = "d1"
& strict_equiv("d3","d0") = "d1"
& strict_equiv("d1","d3") = "d2"
& strict_equiv("d2","d2") = "d0"
& strict_equiv("d3","d2") = "d1"
& strict_equiv("d3","d3") = "d0"
& strict_equiv("d3","d1") = "d2"
& strict_equiv("d0","d2") = "d2"
& strict_equiv("d0","d1") = "d1"
& strict_equiv("d1","d1") = "d0"
& strict_equiv("d2","d3") = "d1"
& strict_equiv("d2","d0") = "d2"
& strict_equiv("d0","d0") = "d0"
& strict_equiv("d1","d0") = "d1"
& implies("d1","d2") = "d0"
& implies("d3","d2") = "d2"
& implies("d3","d0") = "d0"
& implies("d1","d3") = "d0"
& implies("d2","d3") = "d3"
& implies("d2","d0") = "d0"
& implies("d1","d0") = "d0"
& implies("d0","d3") = "d3"
& implies("d2","d2") = "d0"
& implies("d2","d1") = "d3"
& implies("d3","d1") = "d2"
& implies("d0","d2") = "d2"
& implies("d0","d1") = "d1"
& implies("d3","d3") = "d0"
& implies("d0","d0") = "d0"
& implies("d1","d1") = "d0"
& not("d3") = "d2"
& not("d2") = "d3"
& not("d0") = "d1"
& not("d1") = "d0"
& strict_implies("d1","d2") = "d0"
& strict_implies("d3","d2") = "d2"
& strict_implies("d3","d0") = "d0"
& strict_implies("d0","d3") = "d1"
& strict_implies("d1","d3") = "d0"
& strict_implies("d2","d1") = "d1"
& strict_implies("d2","d0") = "d0"
& strict_implies("d1","d0") = "d0"
& strict_implies("d0","d2") = "d2"
& strict_implies("d2","d2") = "d0"
& strict_implies("d3","d1") = "d2"
& strict_implies("d3","d3") = "d0"
& strict_implies("d0","d1") = "d1"
& strict_implies("d1","d1") = "d0"
& strict_implies("d2","d3") = "d1"
& strict_implies("d0","d0") = "d0"
& necessarily("d2") = "d2"
& necessarily("d1") = "d1"
& necessarily("d0") = "d0"
& necessarily("d3") = "d1"
& possibly("d3") = "d3"
& possibly("d1") = "d1"
& possibly("d0") = "d0"
& possibly("d2") = "d0"
& and("d1","d1") = "d1"
& and("d2","d3") = "d1"
& and("d0","d3") = "d3"
& and("d0","d1") = "d1"
& and("d0","d2") = "d2"
& and("d3","d2") = "d1"
& and("d3","d0") = "d3"
& and("d1","d0") = "d1"
& and("d0","d0") = "d0"
& and("d2","d0") = "d2"
& and("d3","d3") = "d3"
& and("d1","d3") = "d1"
& and("d3","d1") = "d1"
& and("d1","d2") = "d1"
& and("d2","d2") = "d2"
& and("d2","d1") = "d1"
& or("d0","d0") = "d0"
& or("d3","d2") = "d0"
& or("d3","d1") = "d3"
& or("d2","d1") = "d2"
& or("d1","d1") = "d1"
& or("d1","d3") = "d3"
& or("d0","d1") = "d0"
& or("d2","d3") = "d0"
& or("d1","d2") = "d2"
& or("d1","d0") = "d0"
& or("d0","d2") = "d0"
& or("d2","d2") = "d2"
& or("d2","d0") = "d0"
& or("d0","d3") = "d0"
& or("d3","d3") = "d3"
& or("d3","d0") = "d0"
& equiv("d1","d2") = "d3"
& equiv("d2","d2") = "d0"
& equiv("d0","d2") = "d2"
& equiv("d2","d3") = "d1"
& equiv("d3","d3") = "d0"
& equiv("d2","d1") = "d3"
& equiv("d3","d1") = "d2"
& equiv("d1","d3") = "d2"
& equiv("d1","d1") = "d0"
& equiv("d3","d0") = "d3"
& equiv("d3","d2") = "d1"
& equiv("d1","d0") = "d1"
& equiv("d0","d3") = "d3"
& equiv("d0","d0") = "d0"
& equiv("d2","d0") = "d2"
& equiv("d0","d1") = "d1" ) ).
fof(predicate_mappings,interpretation-mappings,
( op_equiv
& op_or
& modus_ponens_strict_implies
& ~ necessitation
& op_strict_equiv
& op_possibly
& axiom_m6
& axiom_m9
& substitution_strict_equiv
& axiom_m1
& axiom_m3
& axiom_m2
& axiom_m5
& axiom_m4
& op_implies_and
& op_strict_implies
& axiom_s3
& adjunction
& is_a_theorem("d3")
& ~ is_a_theorem("d2")
& ~ is_a_theorem("d1")
& is_a_theorem("d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL565+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : run_fmb4j /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.38 % Computer : n004.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 23:46:21 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_fmb4j /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.42 Running: java -jar /export/starexec/sandbox/solver/bin/FMB4J.jar /export/starexec/sandbox/tmp/tmp.00Fkz482y0/theBenchmark.cnf 300
% 0.56/0.72 % domain size: 1
% 0.76/0.81 % domain size: 2
% 0.76/0.87 % domain size: 3
% 4.73/1.96 % domain size: 4
% 14.23/9.12 % model found for domain size 4
% 14.35/9.14 % SZS status CounterSatisfiable for theBenchmark
% 14.35/9.14 % SZS output start FiniteModel for theBenchmark
% See solution above
% 14.59/9.29 % FMB4L exiting
%------------------------------------------------------------------------------